diff --git "a/data/dm_maths/full_data/1460_11255.jsonl" "b/data/dm_maths/full_data/1460_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1460_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let t(v) = v**2 - 8*v + 11. Let o be t(7). Suppose 5*i + 0*i + 3*h = 115, 0 = i + o*h - 23. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -y**7\/42 - y**6\/10 + y**5\/10 + y**4\/2 - y**3\/6 - 3*y**2\/2 - 823*y. Find s such that q(s) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 2. Let i(k) = 1. Let j(o) = o - 1. Let c(w) = z*i(w) - j(w). Let u(y) = y. Calculate u(c(x)).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 8 = 8. Let i(k) = -2*k**2 - 5 + l*k**2 - k**2 - k. Is i(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)\/(sqrt(36)\/sqrt(3)))\/((sqrt(24)*-1)\/sqrt(3)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.47301677 to 3 decimal places.\nAnswer: -1.473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 32*i - 21. What is the remainder when b(5) is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8995?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 823388676 a multiple of 564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -159*h - 1. Let v be i(6). Let c = v - -1815\/2. What is the common denominator of -21\/2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5149776?\nAnswer: 2, 3, 17, 6311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 11:25 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47 - 79. Let a = 51 + s. What is the remainder when a is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1323 + 2012?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/((-266)\/(-105))*3\/(-15).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 2:02 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4719 and 156024.\nAnswer: 22311432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -60*a**3 - 69*a**2 - 3*a + 6 = 0.\nAnswer: -1, -2\/5, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 96884 = -3*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94945, 189956, 284979, 380020, 475085, 570180, 665311, 760484?\nAnswer: 855705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1096109315 by -2.\nAnswer: -1096109315\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3258\/220085 or 0?\nAnswer: 3258\/220085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 10*c**2 + 4*c + 4. Suppose -4*l + 6 = -6*l. List the prime factors of v(l).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1343, 4434, 9625, 16916, 26307, 37798, 51389?\n\"Answer: 1050*l**2 - 59*l + 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 8*v**2 - 7*v - 2. Let g(n) be the third derivative of -n**5\/60 + 11*n**4\/24 - 17*n**3\/6 - 4*n**2 + 2. Let b be g(10). Calculate l(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-3\/4)*v**(2\/3)*v)\/(v**(-1))**39)\/((v\/v**(-1))**(-15\/2))**(15\/8) assuming v is positive.\nAnswer: v**(1657\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 7:19 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -15. Suppose g - y - 122 = 0, 232*g - 236*g + y + 512 = 0. Calculate the highest common factor of g and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137743 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 10, 0, -5 in descending order.\nAnswer: 10, 6, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26.84 - 118.\nAnswer: -144.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 1:57 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.8255 + -2.1745. Put -2\/2639, y, -0.5 in decreasing order.\nAnswer: -2\/2639, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 609936 is divided by 2015.\nAnswer: 1406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 16*d**2 - 3*d + 2. Let z be 9\/4 + 3\/(-12). Does 15 divide t(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3732 by 4.\nAnswer: 933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 1694.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -9*d + 2. Give u(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00410359 rounded to five decimal places?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1131 - 3417 = -3*d. Let l = d - 135. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**0*o)\/o)**(-1\/6)\/(o**(-7)*o*o**(6\/11)\/o*o*o))\/((o**(-3)\/o)\/o**(3\/7))**(-33) assuming o is positive.\nAnswer: o**(-10910\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -183 - 22*j**2 + 171 - j**3 + 37*j**2 to the form q*j**3 + t*j + d*j**2 + f and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -2\/43 (b) 167 (c) -0.04 (d) 0.21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.26 + 8.26000822. Round j to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 37107920, 37107921, 37107922, 37107923, 37107924, 37107925?\n\"Answer: i + 37107919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48887?\nAnswer: 19, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f - 2 + 0 + 4*f. Let u(j) = 6*j - 2. Let q(z) = 3*z - 6. Suppose 12 = t + 2*t. Let y be q(t). Determine y*u(x) - 5*d(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4126, -5125, -6124?\n\"Answer: -999*d - 3127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2563, 4, -28 in descending order.\nAnswer: 4, 2, -28, -2563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -174\/23 - -68\/161. Find the common denominator of d and 29\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 1:05 PM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.2139547 to three decimal places.\nAnswer: -1.214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*2*sqrt(190)\/(sqrt(60)\/sqrt(6)*-3).\nAnswer: -10*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 173 = 203. Find the second derivative of -x + 56*x**z - 9 - 2*x - 3*x**4 + 3*x**4 wrt x.\nAnswer: 1120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 264 - 112. Let y be (b\/57)\/((-4)\/6). Let i(k) = 2*k + 6. Calculate i(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/21 and 103\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 46, -0.036092 in increasing order.\nAnswer: -0.036092, 5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1962, -1995, -2028, -2061?\nAnswer: -2094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 204932175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -1\/19*x**2 - 1\/38*x**4 - 1\/190*x**5 - 10*x - 1\/19*x**3 + 0. Factor b(r).\nAnswer: -2*(r + 1)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0803 and -164.\nAnswer: 13.1692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vhmdpvv. Give prob of sequence dpvh.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + k - 9. Let p be g(-4). Suppose -p*z = 4*m - 2879, 0*z = 2*z - m - 1901. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 51*j + 1. Let z(k) = -9*k. Determine l(z(d)).\nAnswer: -459*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 51. Let w = 11 + c. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r + 20. Let s be z(-7). Let f = -0.27 - 0.03. Sort s, 3, f in descending order.\nAnswer: 3, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 44\/5 of a century?\nAnswer: 10560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - 4162671?\nAnswer: -4162661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*z**3 - 349*z**2 + 114*z**2 - 55*z**3 + 123*z**2 + 112*z**2.\nAnswer: -163*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1339 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 68855424 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 126 + -2?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 103*q - 108*q + 1980. Suppose 2*n + n = q. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -97 + 97.008. Let y = q + 2.992. Let v be (-1)\/(10\/6 - 1). Which is the closest to v? (a) 2 (b) -3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5442 (base 6) in base 11?\nAnswer: a37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**3\/6 + 2*n**2 - 25*n. Let d(l) = l - 1. Calculate -2*d(g) - 2*j(g).\nAnswer: -2*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -0*k + 10. Let s be 1*(-3 + 26\/k). Sort -0.3, 6, s in ascending order.\nAnswer: s, -0.3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 27, -519, -0.1 in ascending order.\nAnswer: -519, -0.1, 0.1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -102 in 0.2, 3\/7, 2\/21, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6410 and 310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 683 and 5?\nAnswer: 3415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8566030 and 56330?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2. Let q(r) = 131*r. What is q(c(s))?\nAnswer: 262*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 5 (c) -2\/3 (d) -1\/10 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(768) + sqrt(48))\/sqrt(8))\/((sqrt(450) + sqrt(18) + sqrt(18))\/sqrt(9)) + 0)*4.\nAnswer: 20*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - t = 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 301 + -335 + (-22)\/(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1202a (base 13) to base 4.\nAnswer: -20003133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + (21 - 105) - -68.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41.4 + -38.4. Which is the third biggest value? (a) -4 (b) 2 (c) 3\/14 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/11938542 and -169\/25582590?\nAnswer: 179078130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -7*t**2 - 54*t + 71. Calculate r(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1854838 and 7.\nAnswer: 12983866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7765348 by 1941337.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5 - 1 = 0. Let j be (5 - -3)*u - -4. Suppose -f - f - 4*v = -j, 0 = 3*v + 6. What is the lowest common multiple of f and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -360*j - 2486 + 2*j**3 + 355*j - 38*j**4 + 2485 in the form i*j**2 + h + u*j + q*j**4 + z*j**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27681092?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 2*q**3\/3 + 41*q**2\/2 - 24*q. Let y be b(-9). Let v(j) = 2*j**3 - 12*j - 11. What are the prime factors of v(y)?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2753 a factor of 1526921167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1 - (-2 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 241.8 + -28.8. Let b = -119 + k. Let g = 93.99961 - b. What is g rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -321.4 - -321. What is the nearest to -2\/7 in 0, -0.008, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uuyyuuuuyuuytyuuu?\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13\/((-650)\/280)*146*-5. Round x to the nearest 100.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + t + 69 = 0, 0 = 6*o - 3*o - t - 211. Calculate the remainder when o is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 11*w + 14*w - 66, -9*q - 2*w + 226 = 0. Calculate the greatest common divisor of q and 5122.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -301 (base 4) to base 13.\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from huoxwfo. What is prob of picking 1 h and 2 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g + 1. Let m(s) = -4*s + 5. Determine -15*j(w) + 3*m(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -138 + (25 - (-111 + 34))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**4*d**(-3\/5))**(-2\/19) assuming d is positive.\nAnswer: d**(36\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/4 + 123*p - 495\/4.\nAnswer: 3*(p - 1)*(p + 165)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 4\/5, 0.3, 699 in ascending order.\nAnswer: 0.05, 0.3, 4\/5, 699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 38105541 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, s: 2, n: 4, t: 3, c: 6}. Give prob of sequence shct.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -14. Let g = d - 17. Suppose 11*o + 5 = 16. Sort 2, g, o, -4 in decreasing order.\nAnswer: 2, o, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**3 - 606*a. Let p(t) = 290*t**2. Give p(h(x)).\nAnswer: 10440*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16032078 divided by -5344026.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 92 + -9. List the prime factors of j.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5073\/14 - -2907\/8. Calculate the common denominator of -21\/22 and r.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 842*p + 4492. Is w(-2) a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*u + 4008 - 538 = 395 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*(-1 + sqrt(1584) - (sqrt(891) - sqrt(891)*-1 - sqrt(891) - sqrt(11))**2) + 4)*2.\nAnswer: -2809 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w. Let x(n) be the first derivative of 4 - 7\/2*n**2 + 0*n. Determine x(i(f)).\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00019838 to 6 decimal places.\nAnswer: -0.000198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 977546*u**2 + 3141852 wrt u?\nAnswer: 1955092*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 3*d + 5 + 4 = 0, -6*y = 5*d + 13 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2421*s**2 + 2*s + s + 4 + 4203*s**2 - 2*s. Let d be o(5). Suppose 3*n - 794391 = d. Round n to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 4*w + 89. Let p be h(11). Sort 0, -3, -4, p in descending order.\nAnswer: p, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 14 = -14. Suppose q + d = 0, 2*q - 252 = -3*i - q. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*y + 75*y + 241 + 459 = 0. Sort 166, y, 1 in descending order.\nAnswer: 166, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/29, 3\/7, 4 in decreasing order.\nAnswer: 4, 3\/7, -6\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -228884*d**2*z + 289*d + 18*z wrt d.\nAnswer: -457768*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54666450 and 43733160.\nAnswer: 218665800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 2*a**3\/3 + a**2\/2 - a. Let p = 154 + -157. Let o(n) = 2*n + 2 - 4 - 4*n + 1. Calculate p*v(k) - 5*o(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 204\/11 - 1053\/55. Sort 0.04, -0.2, b, -3.\nAnswer: -3, b, -0.2, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 4*w + 4. Suppose -o = -4*g - 9, 2*g + 24 = -g - 5*o. What is d(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -918\/101 and 1.95 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 127334, 127325, 127300, 127253, 127178, 127069, 126920, 126725?\n\"Answer: -i**3 - 2*i**2 + 4*i + 127333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -7*i - 2. Let g be -1*5 + (-10 - -14). Let u be d(g). Suppose -n + u*n - 296 = 4*k, -4*n + 288 = -2*k. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18070 and 4384042.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 997768000 rounded to the nearest 1000000?\nAnswer: 998000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3326.5 - 3327. Which is the second biggest value? (a) -3 (b) 1 (c) s (d) 1\/3 (e) -12\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*(0 + ((sqrt(1331) - (1 + sqrt(1331)))*-6 - sqrt(1331) - (sqrt(1331) + -1 + -2))))**2.\nAnswer: -9900*sqrt(11) + 135122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -5*r - 68. Let p = 70 - 82. Let c be w(p). Let y be (c\/(-3))\/(11\/(-13200)). What is y rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jr when two letters picked without replacement from {r: 3, j: 7, q: 2, c: 2, n: 4}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -3*p**4\/4 - 3*p**2 - 1. What is the second derivative of c(b) wrt b?\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -6*i**2 + i - 3. Let g be l(3). Let a = 880 + -766. Let d = g + a. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (215\/215)\/((16\/(-6))\/(-2))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101101010010000010101 (base 2) to base 16.\nAnswer: 56a415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41754803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 145836410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 36*a**3 - 2*a**2 - 8*a - 2. Let d be c(4). Is (1\/1)\/(d\/2237 - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 11:18 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 + 40*t - 525.\nAnswer: 5*(t - 7)*(t + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -755d6 (base 16) to base 8\nAnswer: -1652726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + -3. Let b(f) = f - 4. Let i be b(c). Let z(k) = -k + 11. Let g be z(i). Solve x + g = 5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40 - 55.3.\nAnswer: -95.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (2 + 2 - 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 3*n + 2. Let r be y(-2). Let m be ((-6)\/(-2) - r)\/(-1). Find the third derivative of -5*o**2 + 1 + 4*o**3 - m + 11*o**2 wrt o.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -24\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 558 <= 482?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103, -126, -191, -304, -471, -698, -991?\nAnswer: -1356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*(1 + ((sqrt(704) - -6*2*sqrt(704)) + sqrt(704) + sqrt(704) + sqrt(704) + sqrt(704) + sqrt(704) + -2 + -4)**2 + -3).\nAnswer: -8640*sqrt(11) + 1140652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 + -43. Suppose 4*v + 2*n + 0*n - x = 0, v - 4*n + 8 = 0. Which is smaller: v or -20\/17?\nAnswer: -20\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-4 + 1))*(-1 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 238 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(1*sqrt(2)) + sqrt(132)\/(sqrt(48)\/sqrt(4)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*s = -43*s + 5247. Factor s*c + 1\/3*c**3 + 121\/3 - 7*c**2.\nAnswer: (c - 11)**2*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(1\/3))\/b)\/b**1)\/(b\/b**0*b**(4\/3)) assuming b is positive.\nAnswer: b**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0004829 and 183.\nAnswer: -0.0883707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2 + 3*t - 3. Let u be s(-4). Let a be u*-5*(-2)\/6. Suppose 3*c + g = a + 9, 5*g - 120 = -5*c. Round c to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**7\/21 + q**6\/30 + 293*q**3\/6 - 3*q**2\/2 - 77*q + 2. What is the second derivative of k(g) wrt g?\nAnswer: 40*g**3 + 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -436, 0.1, 4 in descending order.\nAnswer: 4, 2, 0.1, -436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 458072 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6656 at least as big as -604?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4 + (-42)\/(-4). Suppose -3*r - 6 = -n, -n + 0*r + 5*r = -u. Let m(a) = -15*a + 5. Let q(o) = 19*o - 5. Let b(x) = 5*m(x) + 4*q(x). Give b(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 + 6*i**2 - 4*i + 3*i + i.\nAnswer: 6*i**2 + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (58 - 144 - -95) + 76?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 7*i**2 + 4*i + 4. Let f be z(-8). Let b = f - 50. Let t = b - -25. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2*k - 328, y - 5*k - 500 = -2*y. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 67.96 (b) -0.5 (c) -5 (d) -7.5 (e) -0.084\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -602010*h**4 + 44*h + 21738 wrt h.\nAnswer: -7224120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + -2. Let s = 0.1237241 + -0.0237241. What is the second biggest value in s, k, -4\/7, 18?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k + 4. List the prime factors of w(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -4 + 5 + 2 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - q - 4, 5*q + 2 + 0 = -d. Solve 6*y**3 + 1 + 8*y**4 + 4*y**d - 6*y**2 - 10*y - 3 + 0*y**4 = 0 for y.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -4*l + 68266, 3*l + 5*m - 46140 - 5042 = 0. What is the ten thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**6\/(g*g\/(g*(g\/g**(-1)*g)\/g)*g))\/((g*g**(-5\/6)*g)\/g**(2\/15)))**(1\/36) assuming g is positive.\nAnswer: g**(149\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -66?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-9)*-3 + 1636\/(-6). Let a = 394 + w. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*g**3 + 2\/3*g**2 - 2 - 5\/3*g.\nAnswer: (g - 2)*(g + 1)*(g + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 a, and 1 d when three letters picked without replacement from qqdqnqauandf.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16927730 - 185169.3.\nAnswer: 16742560.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 3)*(-n + 3 - 3)*(0 - 2 - 1) as p*n + y and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -s - s + 16, -2*l + 32 = -2*s. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 - 8*t - 10. Determine a(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 + -41. Solve 5*f - 10 = l, 0 = -3*f + 2*f - 3*l + g for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 76 - (0 - 4\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + v - 4 = 0. Suppose -s = v*s. Suppose 0 = -3*p - m + 9, 0 = -p + 4*p + 2*m - 9. Sort p, -2, s in decreasing order.\nAnswer: p, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 w when two letters picked without replacement from {n: 3, w: 4, m: 1, u: 4, v: 1, k: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of 13*j**4\/24 - 7*j**2. Let t(k) be the second derivative of k**3\/3 + 8*k. Determine b(t(q)).\nAnswer: 26*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 117321477 = -3*w, -2*m + 0*m + 5*w = -78214306. Suppose 2*v - m + 10307163 = 0. Round v to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k + 16. Let p(z) = 2*z + 7. Let o(r) = -2*a(r) + 5*p(r). Let b(c) = 36*c + 28. Calculate -6*b(y) + 56*o(y).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of 4 + 5\/12*i**4 - 2*i**3 + 0*i - 1\/30*i**5 - 9*i**2. Factor d(c).\nAnswer: -2*(c - 3)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yiyiyiiyiii. What is prob of picking 3 y and 1 i?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 891543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 1336.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -236 - -266. What is the greatest common divisor of 135 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -46.37043947 and -2525.\nAnswer: -2571.37043947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 + 119136*c - 238288.\nAnswer: 4*(c - 2)*(c + 29786)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*-56*(-16)\/(-6). Suppose -2*m - 5*h = -6*m - 923, 0 = -4*m - h - 905. Let y = m + f. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/3 - (-2 - (-25)\/(-15)). Let d be (6\/40*v)\/((-3)\/(-2)). Factor 0 - d*y**2 - 2\/5*y**4 + 0*y + 4\/5*y**3.\nAnswer: -2*y**2*(y - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(-501*d**3 - 579635 + 579635 + 4*d).\nAnswer: 501*d**3 - 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 divided by -64?\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b*b\/b**(-18))\/b*b*b**(11\/5))\/(b\/(((b\/b**(-2))\/b)\/b))**(-45) assuming b is positive.\nAnswer: b**(116\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 744\/126 + 12\/126. Suppose -7259 = -4*p + 3*s, 5*p = -s + y*s + 9070. What are the prime factors of p?\nAnswer: 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + 28. Suppose h - x + 0 = 0. Let l be (-1)\/(h\/30*-2). Solve 2*g + l - 1 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118479?\nAnswer: 3, 73, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*j**3 + 20*j**3 - 189*j**3)*(0 - 2 + 3) + 1 - 1 - 4*j**3.\nAnswer: -232*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -30 (b) 2\/15 (c) 0.08 (d) -1 (e) -5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and (-416)\/(-12)*(-21)\/(-14).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 31 and -547.4206405511?\nAnswer: 578.4206405511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 1:38 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1010 + 1013. Solve -o + q*o + 2 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, 24, -4, 5 in descending order.\nAnswer: 24, 5, 4, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2200.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133130931 divided by 141.\nAnswer: -944191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-26))**(-28))**(-2\/65))**(-1\/15) assuming f is positive.\nAnswer: f**(112\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 490 + -490.00403. What is i rounded to four decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**2 + 146*z - 21. Calculate i(-49).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**5\/30 - 5*h**4\/24 + h**3\/2 + h**2. Suppose 0 = i + 3*z - 9, -6*i - 10 = -7*i - 4*z. List the prime factors of x(i).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 16*j**2 - 119*j + 1766. What is r(17)?\nAnswer: -546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*p + 34, -2*q = 2*q + 4*p - 52. Let s = 77 + -34. Suppose q = -a + s. Does 16 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 334*k**3 + 2*k + 1 - 2*k - 123*k**3 - 2*k**2 as a*k**3 + x*k + h + y*k**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.86 + -1.2. Let h = 0.04 + w. Let o = h + 0.3. Put 1, o, 4 in decreasing order.\nAnswer: 4, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**2\/4 - 4377*u\/4 + 9909 = 0. Calculate u.\nAnswer: -1468, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 + 153. Let d = r - 107.00000045. What is d rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/871758 and -125\/71554.\nAnswer: 1641520314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1 + (sqrt(832) + 0 + sqrt(832))**2)*1)*3.\nAnswer: 9990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 47606412 and -0.2.\nAnswer: -9521282.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 2*z - 1. Let y(f) be the third derivative of -f**5\/60 - f**4\/12 + f**3\/6 - 3*f**2. What is 2*b(v) + 3*y(v)?\nAnswer: -v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8244?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 y when two letters picked without replacement from {v: 1, z: 1, y: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 9936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -18.2, 2590, 0, 34?\nAnswer: -18.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjzz when four letters picked without replacement from bjzpzjzzppppzpppjz?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2850014 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -4.75 (c) -4 (d) -58 (e) -0.2 (f) 2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-6)*0)\/(-2). Let z(d) = -d**3 + d**2 - d - 2. Let u be z(f). What are the prime factors of -2 + (u - -18 - 1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 5*z - 3. Let u(x) = 357 - 180 + x**2 - 180 - 5*x. Let g(o) = 3*q(o) - 2*u(o). What is g(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61567?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -5595679\nAnswer: -11\/5595679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4*k - 20. Let m(j) = 10. Let b(g) = d(g) + 2*m(g). Let z(q) = -190*q. What is z(b(i))?\nAnswer: 760*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(1\/5))\/j*j**5*j*j**(2\/11)*j\/(j**(-4\/5)*j) assuming j is positive.\nAnswer: j**(79\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58568 + 141*j**3 - 58568.\nAnswer: 141*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -2 + (-3 - (3 + 2)) - -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 50\/(-2) + 2 + -2. Let l be (-8)\/(-10)*u\/(-2). Suppose -5*m = -5*b - l, 0 = -3*m - b - 2. Solve m - 6 = -2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 588*p**2 + 378*p + 92. Let m be b(-68). What is m rounded to the nearest ten thousand?\nAnswer: 2690000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3394437311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22338883 + -1?\nAnswer: 22338882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + b**2 - b. Let p(v) = -10*v**3 - 63*v**2 - 50*v - 8. Let x(u) = -4*a(u) + p(u). Factor x(h).\nAnswer: -(h + 4)*(2*h + 1)*(7*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 86790000 to the nearest one million.\nAnswer: 87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132692026 divided by -990239.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abbtryya. Give prob of picking 1 r and 1 y.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2616 times 0.4?\nAnswer: -1046.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 179*c - 168*c + 66 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -254 - 189. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 537.00006584 - 537. Round g to six dps.\nAnswer: 0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -95, -103, -115, -131, -151, -175?\n\"Answer: -2*a**2 - 2*a - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + c = 2627, 0 = 24*a - 19*a + 4*c - 13132. What is the thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3855*o**2*s**5 - 2*o**2*s - 1804*o**2 - 5*s**5 + 46 wrt s?\nAnswer: 77100*o**2*s**3 - 100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.019519 + 594153145.\nAnswer: 594153144.980481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.51716188 to 2 dps.\nAnswer: 35.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p + 123. Let z be s(-31). What is the smallest common multiple of (-11)\/(-3*1\/z) and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34.6283 - 34.7. Let m = 0.06 + b. Round m to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*t + 23699 = 510351 - 30712. What is the highest common divisor of 45 and t?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -18. Let o = r + 2. Suppose 0 = m + o, 7 = -4*v - 3*m - 4. Calculate the lowest common multiple of 3 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 765 = 5*v - 3*z, 0 = -v + 3*v - 5*z - 325. Suppose 0 = 3*h - 4*r - v - 460, h = 3*r + 210. What are the prime factors of h?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 190\/25 - 6\/(-15). What are the prime factors of ((-24)\/(-14))\/(y\/28)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53416 - 53537 = -11*m for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*j + 6*j - 26*j - 310 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -430, -851, -1274, -1699, -2126, -2555, -2986?\n\"Answer: -w**2 - 418*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 361*n - 1110. Calculate the remainder when v(5) is divided by 70.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, i: 2, w: 4, x: 3, f: 1}. What is prob of sequence wqwi?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 61*j**2 - 1. Let p = -668 + 667. Give k(p).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a. Suppose 0 = 5*c - 4 - 6. Let w(r) be the first derivative of 247*r - 2 - c*r**3 + 6*r**3 - 247*r. Determine w(u(q)).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3983*i + 111490. Determine c(-28).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 478796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -992, -986, -982, -980, -980?\nAnswer: -982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28472 is divided by 1139.\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 1\/8*v**4 + 103\/4*v**3 - 627\/8*v**2 + 0*v + 0 = 0.\nAnswer: -209, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**7\/1260 + g**4\/6 - g. Let x(m) be the third derivative of k(m). Let r(f) = 26*f**2 - 13*f**2 - 10*f**2. What is r(x(s))?\nAnswer: 12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 35 (b) 4\/7 (c) 1\/6 (d) -3 (e) -22\/3 (f) 0.21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**3\/11 + 2938*y**2\/11 + 41818*y\/11 - 436002\/11 = 0. What is y?\nAnswer: -21, 7, 1483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**2 - 2*d**2 + 0*d**2)*(0*d + 0*d - 5*d) - 964828*d**2 + 238*d**3 + 964828*d**2 as k*d + w*d**3 + i*d**2 + g and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -26 + 7 - 34 + 2*l. Let g be k(29). Which is the second biggest value? (a) 2 (b) 2\/11 (c) 1 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 218667149?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen eighths of a kilogram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.77915776 rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35364 and 420?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70\/11 - 954\/143. Suppose 0*m + 4 = -2*m - a, -m = -3*a - 12. Is m smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 440694623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2433376 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 83\/604?\nAnswer: 83\/604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r*r**(-5\/3)*r*r))\/r**(-2\/5)*(r\/r**(2\/3)*r)**(-37) assuming r is positive.\nAnswer: r**(-754\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 27 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 4, -1.6, 1\/8?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -484 take away 55157?\nAnswer: -55641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -129\/6800 and 17\/1200.\nAnswer: 20400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2 - 6 - 3*y + 7. Give c(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1578230?\nAnswer: 2, 5, 157823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12aa (base 16) to base 9.\nAnswer: 6488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -12*((-3045)\/11 + (-66)\/363)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5*r - 714 = 0, 0*w - 3*r - 356 = w. Let t = w + -278. Let m be (46250\/(-4))\/((-2)\/t). What is m rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k = -24*k - z + 10, 3*k - z - 14 = 0. What is the remainder when 9 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -31*k**2 - 5*k - 10. Let m be i(-7). Let w = m + 7837. Let g = w - 88743\/14. Calculate the common denominator of -15\/22 and g.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -76. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n - 4 - 3*n**3 + 2 + n - 2*n**2. List the prime factors of t(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 8. Suppose a = 4*h, -2*h = 4*d - 0*h - 46. Let z = 24 - 13. Calculate the greatest common factor of d and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5015412 + 13302?\nAnswer: -5002110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -787*y - 166860. Determine f(-212).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 minutes after 11:48 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 819 and 728?\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 19587 and 20678 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 2*d. Let j be b(0). Suppose j = -4*f + 28 + 8. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -3259.\nAnswer: 13036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 31\/62*108\/1. What is the greatest common divisor of q and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7745085 times 4?\nAnswer: 30980340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-26)\/(-6) - (-2)\/3. Let r = y - 0. Let c(o) = -16*o**2 - 92*o - 50. What is the remainder when c(-5) is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/10*10\/(-8). Let m = -1376.8 + 1376.9. Which is the nearest to m? (a) 0 (b) q (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -1027*y**2\/2 - 2122*y - 1887. Find the first derivative of s(m) wrt m.\nAnswer: -1027","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*s + 21 = j, -j - 3*s = 9. Suppose -45 = -2*r - 3*r - 5*i, -19 = -j*r + 5*i. Let y be 3*(5\/3 + 0). Solve -g = -y*g - r for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1216) + 4 - -5*(sqrt(1216) + -1) - (-3 + (sqrt(1216) - (sqrt(1216) - (sqrt(1216) + (sqrt(1216)*2 - sqrt(1216))*-2)))))**2.\nAnswer: 336*sqrt(19) + 59593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**8\/(u\/(u*u*u*u*u\/(u*u*u\/(u\/((u*u**(2\/7)\/u*u)\/u*u))*u*u)*u)) assuming u is positive.\nAnswer: u**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-2*sqrt(468) - sqrt(468)) + 5 + (sqrt(468) - 6*(sqrt(468) + -2)))**2.\nAnswer: -1728*sqrt(13) + 30276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47521?\nAnswer: 47521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s - 24. Give r(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 16 = -3*v. Let l(t) = 3*t + 65. Let w be l(5). What is the greatest common factor of v and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tktktktkttttk. What is prob of picking 1 k and 2 t?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 1. Let t(j) = 2*j**2 + 19*j + 7. What is -t(u) - 6*x(u)?\nAnswer: -2*u**2 - 25*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 130020031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 36250, -2\/17, 1, -5\/3 in ascending order.\nAnswer: -5\/3, -2\/17, 1, 36250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -38 - -4 - (-24 + 41 - 8)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17 - -1*(-3 + 4). Calculate the remainder when 309\/18 + (-3)\/c is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -29*i + 47. What is a(3)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4417 + 4419.813. Let m = 0.187 + d. Let k be 9\/6*4\/(-6). Sort m, k, -11, -2.\nAnswer: -11, -2, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 26*(-1 + 3\/2). Let u = h - 9. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 80679494?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 6*b - 1 = 7*b, d + 2*b = -8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 994?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12432121 (base 5) to base 10.\nAnswer: -124036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 5*f - 238. Calculate the least common multiple of f and 2.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**2 - 2*d. Let z(v) = -4*v**2 - v. Determine -6*s(o) + 5*z(o).\nAnswer: -2*o**2 + 7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37602?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3187 or 3265?\nAnswer: 3187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 32 + -11 + (1 - -3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vxvhvmvhxvmnvmx. What is prob of sequence xnxm?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-39)\/3315*-11203 - (-18)\/(-10). Calculate the greatest common divisor of q and 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - i - 4*i - 45, -15 = 3*i. Suppose -a*l + 3*c = -93600009, -3*l + 2*c = l - 93600006. What is l rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-35))\/(132\/(-30))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6968, 7603, 8242, 8885, 9532, 10183?\nAnswer: 10838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 divided by 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by 59?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6531674333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88 - 70. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 9:33 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-15)*105\/28?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.9 + 7. Let r = -14.9 - k. Let m = r - -21. What is the biggest value in m, -0.2, -8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 8. Let l(y) = -1 + 4*y - 9 - 3*y. Let o be l(5). Which is greater: o or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5627 is divided by 234?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -289, -684, -1243, -1966, -2853?\nAnswer: -3904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - 0.2. Let q = 4.7 + -4.8. Is q <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 0*k**4 - 2*k**4 + 13*k**2 + k**3 - 4*k**2 to the form j*k**3 + z + f*k**2 + n*k**4 + o*k and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/4 + 1261*f\/8 + 631\/8.\nAnswer: -(f - 631)*(2*f + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**5\/4 - 7*h**4\/4 + h**3\/2 + 3*h**2\/2 - 5*h\/4 + 1\/4 = 0. Calculate h.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9 + ((-4)\/10)\/((-1)\/5). Suppose z*w + 0*w = 1441. Suppose w = 2*q - 135. Is 20 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 + r - r + (6 + 4*r - 6)*(19 - 35 + 20 + r).\nAnswer: 2*r**2 + 16*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 87704.85ml?\nAnswer: 87.70485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12429 (base 16) to base 13\nAnswer: -28074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) 1 (c) 12 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0339 - -248.9661. Let i = p - 248.9. Which is bigger: 1\/53 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/(7*22\/(-231))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 plus 419094?\nAnswer: 419093.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 1:09 PM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -11.999982. What is t rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, o: 2, y: 1, z: 3}. What is prob of sequence ozo?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*r - 22, -r - h + 18 = -3*h. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/8)\/((-21)\/(-136)*288\/(-1008)).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 4 + 8. Let s(b) = -b**3 - 3*b**2 - b. Let a be s(-3). Put a, 2, n in descending order.\nAnswer: a, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7518*k**2*q - 5598*k**2 - q wrt q?\nAnswer: -7518*k**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 7*x**2 - 4*x - 4. Let n = 17 + 1. Calculate the lowest common multiple of n and q(6).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-3))\/((-6)\/(-1692)). Let k = -11 - -58. Calculate the highest common factor of u and k.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 434, 517, 604, 695, 790?\nAnswer: 889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 33*t + 14. Let u(x) = -11*x - 5. Calculate 3*k(l) + 8*u(l).\nAnswer: 11*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -43342 (base 5) to base 15\nAnswer: -d32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 732853800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -161 + 113. Does 9 divide (0 + 1)*1*(15 - q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 15 = -2*g, -3*g - 7*a - 3 = -6*a for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 f when three letters picked without replacement from {g: 8, s: 5, f: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 25*g**2 + 27*g + 10. Let i be v(26). Let q be (15\/10)\/(3\/4). Sort i, 0, q, 3.\nAnswer: 0, q, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3432, -7141, -11128, -15393, -19936, -24757, -29856?\nAnswer: -35233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1406 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-60)\/(-42) + 108\/42. Sort -1, o, 2, -2 in ascending order.\nAnswer: -2, -1, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002008 rounded to six dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 0, 7*l + 3*n - 8 = 9*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122487634 to the power of 1\/2, to the nearest integer?\nAnswer: 33504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**4 + 838*j**3 + 52896*j**2 + 656352*j - 2467584 = 0.\nAnswer: -36, -24, 3, 476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (320\/200)\/((-888)\/(-30))?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-4 + 8 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -30*z - 230. Let t be q(-31). Is ((-3925)\/t - (-2)\/(-14))*-1796 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1806 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-1\/16)\/f*f))**(-18\/11)\/(f\/((f*f**(1\/2))\/f))**(-24) assuming f is positive.\nAnswer: f**(903\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/9 + 498658*k**2\/9 + 3441915750*k - 1458883406250.\nAnswer: 2*(k - 421)*(k + 124875)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*w**2 + 309542*w - 154774*w - 154768*w - 159*w**3 to m*w**2 + j + z*w**3 + l*w and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3755*u*v**5 - 475*u*v**2 - v**6 wrt v?\nAnswer: 225300*u*v**2 - 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.47952t in micrograms?\nAnswer: 85479520000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -128.1 + 127.8. What is the third biggest value in 0.0733, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-68)\/6438)\/((-4)\/27). Let o = 1\/58 - y. Suppose 5*t = 2*w - 11, -4*t + 70*w - 12 = 68*w. Is o less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-44) + 17*2\/110. Sort -2, -81, p in descending order.\nAnswer: p, -2, -81","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -206714b (base 12) in base 6?\nAnswer: -334532535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 4*z**2 - 11. Let k(q) = 2*q**2 - 5. Let o(y) = 4*d(y) - 9*k(y). What is o(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*w - 5318 = 142*w - 325*w + 3586 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence om when two letters picked without replacement from {o: 17, m: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56446*v**4 - v**3 - v - 47511?\nAnswer: -677352*v**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 528 is divided by 225?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of 0*t - 13*t**2 - 3*t**3 + 0 + 5\/24*t**4. Is y(10) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**2\/2 - 3. Let w be r(5). Which is the third smallest value? (a) 0.4 (b) -0.3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/55, 3\/4, 1\/4, 0.7, 1 in descending order.\nAnswer: 1, 3\/4, 0.7, 1\/4, -4\/55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -42? (a) 5 (b) -5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, r: 5, t: 2, p: 2, y: 1, c: 2}. What is prob of picking 1 r and 1 t?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 693.7897l?\nAnswer: 693789.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*b + 14 + 4. Is b less than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45233325781 + 0.5?\nAnswer: -45233325780.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86531?\nAnswer: 86531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.385 - 10.4. Let q = s + -0.006. What is q rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.221 + 0.221. Let i be 2\/5 + (-13)\/20. What is the closest to 3 in i, 1, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 13) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1074.0091 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/6 - 345841871*g\/3 - 119606599736780641\/6.\nAnswer: -(g + 345841871)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49013 - 29686. Round x to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70 by 546.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**2 - 18050*n - 6506976 = 0.\nAnswer: -17682, -368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.54, 91, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 - 85 + 146 + 82*d**2.\nAnswer: 82*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49719.54 centuries to millennia.\nAnswer: 4971.954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5776532, 5776525, 5776506, 5776469, 5776408, 5776317, 5776190, 5776021?\n\"Answer: -a**3 + 5776533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45462456?\nAnswer: 2, 3, 13, 48571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1186 is divided by 238?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211*h**2 - 483*h**2 + 274*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3935738 rounded to 1 decimal place?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -3. Let g = -11 - o. Let i be (3\/32)\/(3\/g). Do 0 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 1 + 32. Let f = -8 + 13. Suppose f*n - 81 = -2*m, 28 = n - m + 9. What is the remainder when g is divided by n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-4)*(-1320)\/(-198) + (-2444)\/(-78).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2010*o - 121176 = -1356*o for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j = -0*j + 80. Sort -169, -8, j.\nAnswer: -169, -8, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2556321 * -101.\nAnswer: 258188421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, v: 1, t: 4, d: 4, n: 1, s: 3}. What is prob of picking 1 s, 1 d, and 1 k?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 8:11 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2162 + 2166. Solve 0 = -4*g + h - 17, -5*g + z = -4*g - 3*h for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1499200 to the nearest ten thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -21. Is ((-2)\/(-2))\/(152\/50 - x) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1d26fb (base 16) to base 10\nAnswer: 1910523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 30, 2, -4, -0.2, 0.06?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 1229*z - 12475. Determine v(10).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*w - 5*q, 7*w - 9*w = q + 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 956*n**3 + 303 + 238 + 892*n**3 + 20 + 53*n**3 wrt n?\nAnswer: 5703*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -125, -227, -345, -479, -629, -795?\nAnswer: -977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qfvovgz. What is prob of picking 1 q, 1 v, and 1 f?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 - -67. Let u be (-5)\/l - (-78)\/24. Solve -4*a = u - 19 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/5)\/(-1))\/((-133)\/((-103740)\/(-234))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 580 + -143. Suppose v = 4*c + 5*h, 4*h + h = 2*c - 241. Find the third derivative of c*u**6 - u**5 - 97*u**6 + u**5 - 19*u**2 wrt u.\nAnswer: 1920*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 19*d**2. What is the remainder when (22 - 72\/9) + 156 is divided by i(1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -7*c - 5. What is the tens digit of t(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 + (-161 + 119 - -43)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40111 minus 170599?\nAnswer: -130488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (518\/2516*-17)\/((-1)\/(-8)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 - 11*q + 22. Let s(m) = 2*m**2 - m - 2. What is the remainder when w(4) is divided by s(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -6)\/((-24)\/(-64)). Suppose k = 5*b - b. Suppose 4*a = 2*a + b. Solve 4*s = a*s + 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 4 - 3)*(29 - 29 - 13*v)*(0 - 2*v + 0) to the form x*v + t*v**2 + f and give t.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 + 0.1873.\nAnswer: 6.1873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 25*v - 11. Determine c(-26).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 4, 325, -5866, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide ((-5)\/(-40)*12)\/((-7)\/(-115584))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.6 * -23317\nAnswer: 83941.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/5))**47*(o**11*o)\/((o\/(o*o**(-1\/7))*o)\/o) assuming o is positive.\nAnswer: o**(1073\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2. Let i(o) = 0 + o - 1 - 2*o + 0*o. Let s(h) = 7*h**2 - 4*h - 4. Let z(b) = -4*i(b) + s(b). What is v(z(q))?\nAnswer: 98*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/196 and -3\/98?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 5 - (-6 - (5 - 10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/6)\/(40\/(-80))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001515772 to 5 dps.\nAnswer: 0.00152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 60 + 40. Suppose k*q = 21*q - 5. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00132571 to 4 dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 32*a**2 - 29*a - 67. Give i(31).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r + 1. Let k be a(-4). Let p be (k - -1)\/((-1)\/(-7)). What is the units digit of 3 - p - (2 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 118.1 + -122.1. Sort -2\/11, r, 0.111 in decreasing order.\nAnswer: 0.111, -2\/11, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 4*x - 2173, 0 = 2*x - 2*a - 213 - 851. Let o be (11 + 1)*30\/4. Suppose x = 3*r + o. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 1100010011000110110110?\nAnswer: -1100010011000110110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.35 + -0.436. Let g = y - 0.114. Let c be 2\/(-9) - 68\/(-225). Which is bigger: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/(-25) - -7) + 105\/(-15). Which is the nearest to y? (a) 2 (b) -7 (c) 1 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316165 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 0)*1 - 781811. Let v = -106205 + 38016. Let z = v + a. What is z rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 5*d - 11. Let b be c(-2). Let k(a) = -a**3 - 5*a**2 - a + 3. Let l be k(b). Solve -l = 2*r, 5*o + 21 = r - 5*r for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/6*53712\/(-297654).\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 5*v**2 - 5*v + 5. Let j be k(4). Let m = 5 + -9. Put 5, j, m in increasing order.\nAnswer: m, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 h when three letters picked without replacement from {h: 1, v: 3, d: 2, l: 3}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 67 + 33?\nAnswer: 9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6500 and 190050250.\nAnswer: 3250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(1\/2))\/(((c\/c**(-2\/9))\/c)\/c))\/((c\/c**(-11))\/(c**11\/c)))**(6\/7) assuming c is positive.\nAnswer: c**(-13\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 7)*(-5*i + 2*i - i) in the form p + m*i and give m.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -12. Let r = 24 + d. What is the derivative of -8 - t**3 - 16*t**4 + t**3 + r*t**4 wrt t?\nAnswer: 44*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + w - 4*s + 18210, -w + 3*s + 9125 = 0. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1965020.29 rounded to the nearest one thousand?\nAnswer: -1965000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 2*u - 24, -5*u + s + 14 = 2*s. Suppose 0 = -u*g + 1285 - 351. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1 = k, 3*d - 3 - 3 = 2*k. Solve -2*s + 8 - 3 = -r, 0 = -d*r + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n. Let x(l) = 1984232*l**2 - 16*l + 3. What is m(x(z))?\nAnswer: -1984232*z**2 + 16*z - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34 - -45) + (8 - 0 - 1) + -36.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a century in decades?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x**2 - 6*x**2 + 2*x**2)*(-305 + 119 + 141) to the form r*x + p + a*x**2 and give a.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 725.6 - 726. What is the nearest to -1\/2 in 3\/2, -0.3, -0.5, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h + 14. Let q be z(4). Let p = 62 + -50. Suppose 16*w = p*w - 4. Put w, 5, q in decreasing order.\nAnswer: 5, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 14*i**2 - 33*i + 18. Let a(o) = -o**2 - 11*o - 12. Let t be a(-7). Let b be s(t). Solve b*n + 3*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/20, -13, 1\/25, 5, 1, 1\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 1\/2*l**2 + 0 - l + 1\/6*l**3 + 1\/2*l**4 + 1\/20*l**5. Calculate v(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 7:58 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/7, 1, 3, -1\/3, -1\/7, 0.2, 191302?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1413 = 6*n - 57. Suppose -n = -5*b - 4*x, 0*b + 2*x = -b + 55. What is the lowest common multiple of b and 96?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5409297382.\nAnswer: 2, 2704648691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3652 divide 278326224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, i: 1, z: 1}. What is prob of picking 1 i and 1 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -1824*n + 408561. Give g(224).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11244129 rounded to 4 dps?\nAnswer: -0.1124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -l + 4*k, 5*l - 27 = -2*k + 16. Suppose 656 = 2*p - 4*t + l*t, p - 326 = -t. What are the prime factors of p?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -7. Let w = -4 - y. Let k = 7 + w. What is the third smallest value in 0.3, -0.1, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2453*j - 198591. What is the remainder when (-4182)\/(-14) + (-2)\/(-7) is divided by t(-81)?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 0 + 0. Let k be (22\/3)\/((-4)\/(-6)). Is h(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8912, 8908, 8904?\nAnswer: 8900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {q: 3, c: 13, p: 3}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -10*d**2 + 2*d - 2. Let t be f(1). Let n = t + 29\/3. Let u = -9.18 - -0.18. Which is the second smallest value? (a) n (b) -1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1*h*h\/(h\/(h*(h\/(h*h**(-5)\/h*h))\/h)))**(3\/4)\/(h*h*h\/h**(-3)*h\/h**3*h\/(h\/h**5)*h**(-2\/3)) assuming h is positive.\nAnswer: h**(-37\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**2)\/(x\/x**(-2\/5)*x)*(x*x**(-2\/7))**(4\/17) assuming x is positive.\nAnswer: x**(457\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 14*f**2 + 15. Let p be l(14). Let t(b) = 2*b**2 + 10*b**2 - 7*b**3 - 10*b - 9*b**3 + p*b**3 - 5. Let h be t(11). Solve -h*s = -7*s + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -6*y**2 - y**3 - 5*y**2 - 6*y**2 - 13*y + 5 + 5*y**2. Calculate the remainder when c(-11) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, -1, -2, -4 in descending order.\nAnswer: -1, -2, -4, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -7*j**3 + j**2 + j. Let k be h(-1). Let p(a) = 24*a + 4. Let w be p(-3). Let m = 96 + w. What is the greatest common factor of k and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/60 and 59\/9.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2.791403 - 0.2\nAnswer: -2.991403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w - 9. Let s be x(5). Let n = s - -27. Is n a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + 1. Let z = -17 + v. Let q = 6 + z. Which is the biggest value? (a) -2 (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3744.53nm to millimeters.\nAnswer: 0.00374453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.88192 to 2 decimal places.\nAnswer: 1.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 2. Let h be 1 + -2 - -94 - o. Let d = h + -32. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/3*2\/(-4). Solve 4*n = -5*u + 2*n + 23, -3*n - 3 = l for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1332 and 17057.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/9 (b) 0.1 (c) 9 (d) -0.99\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/1*(44\/12)\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 3*g - 14. What is the remainder when g is divided by (4\/2)\/((-10)\/(-35))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 != -0.0197549?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 130 = 3*u. Let d = u + -38. Suppose z + 2*k + 10 = 2*z, -3*k = -z + 8. Calculate the remainder when d is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -306 + 312. What are the prime factors of (-199 + q)*(-1 + -2)?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-888)\/(-90) + -9 - (-32)\/240?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: (-2*5)\/(-57 - -56)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**4\/12 + 11*i**3\/6 - 21*i**2 + 5*i + 7. Let u be x(3). Solve u = 6*r - 2 - 28 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of x**4\/4 - 3*x**3 + 4*x**2 - 11*x - 2. What is the remainder when j(9) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 10*w**2 + 7*w - 12. Let t be c(-9). Suppose 4 = -2*o, -2*v + 2 = -3*o - t. Which is smaller: v or 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 24, -47, -5, -3 in decreasing order.\nAnswer: 24, -3, -5, -37, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1315430, 1315379, 1315328, 1315277?\nAnswer: 1315226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 32 = -3*v, -4*v + 2*r + 36 = 28 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6, 19, 36, 57, 82, 111?\n\"Answer: 2*p**2 + 7*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*0.068057.\nAnswer: -1.36114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20581 and 507041?\nAnswer: 1871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-14)*-78)\/(56\/(14112\/(-108))).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -132 + 136. Suppose 0 = j*f - 120 - 1568. What are the prime factors of f?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 + 64 - 27*v**3 + 66 - 258 + 68.\nAnswer: -27*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 256*m**4 + 4*m**3 + 66*m**2 - 12453133*m wrt m.\nAnswer: 3072*m**2 + 24*m + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u. Let s = -580 - -636. Let b(z) = 94 - 50 - s - 3*z + 5*z. Calculate w(b(v)).\nAnswer: -2*v + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.09 + 0.49. Let w = 5 - 10. Which is the third smallest value? (a) 0 (b) u (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 e when three letters picked without replacement from {e: 3, b: 3}.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + -0.04. Let l = -0.26 - -0.36. Is l less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*t**3 + 0 - 1\/3*t**4 - 2\/3*t + 1\/3*t**2.\nAnswer: -t*(t - 2)*(t - 1)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 480 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -347 - -353. Suppose -2*v + z = w - 2*w, -4*w + 2*v = -6. Calculate the lowest common multiple of (-24)\/(-9) + (-2)\/3 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 9*r - 3. Let o be g(-11). Let p = o - -3. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/6)\/((58\/2)\/(-11832)). Calculate the greatest common factor of y and 1802.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9036630*a**3 - 18*a**2 - 2510001 wrt a.\nAnswer: 54219780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (4\/6)\/((-3)\/18). Let g(n) be the first derivative of -u + 0*n**2 + 0*n + 1\/3*n**3. Let r(c) = c**2. Give r(g(o)).\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**2 - 8. Let c(t) = t**3 - 18*t**2 + 16*t + 15. Let o be c(17). Let d(k) = 2*k**2 + 7. Let n(w) = o*d(w) - 3*h(w). Differentiate n(v) wrt v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - u = -1. Suppose -a = u + 4. Put -0.3, a, 0 in decreasing order.\nAnswer: 0, -0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 269 divided by 23319\nAnswer: 269\/23319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*j = -72, 89 = -3*s + 3*j + 23. Let p = -15 - s. Let q = -49 - -58. Calculate the smallest common multiple of q and p.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 441 + -433. Solve -2*o = 3*i + 2 + w, -3*i + 25 = -5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 3, -1\/9, -2\/3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -165, -255, -339, -417, -489, -555?\nAnswer: -615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*h - 15 = 3*f, -2*h - 5*f = 14. Let k = -3.56 + 4.06. What is the second biggest value in 17, h, k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3477, 7467, 11967, 16989, 22545?\nAnswer: 28647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -35, -20, 15, 76?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 517931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -324705929*q**5 - 85*q**2 + 1542676*q?\nAnswer: -19482355740*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(-26 + 33)*(1 + -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**2. Let b be z(-1). Suppose b = 5*d - 7. Suppose -4*o = -2*j - 20, 23 = 5*o + 3*j - 2. Solve -d = 5*p + 4*r + o, -p = -4*r + 11 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 365\/4 - 1681\/20. Calculate the common denominator of 59\/5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/4*(352\/40)\/(-11). Suppose 0 - 14*m**n - 10 - 229*m**3 + 231*m**3 + 22*m = 0. What is m?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -4) + (-33 - -35).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 73790947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-19)\/a*a*a)\/(a*a\/(a**(-2\/37)*a)))**(-7) assuming a is positive.\nAnswer: a**(4935\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 26025.56t?\nAnswer: 26025560000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*r = -50*r - 1650 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 208707502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 16. Let j = -0.8 + -0.2. Which is the nearest to j? (a) -2\/9 (b) 0.3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -19. Put 5, -3, g in increasing order.\nAnswer: g, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4753 - -4749. Let c(v) = -17*v**3 + 2*v**2 - 4*v - 4. Let y(s) = -s**3 + s + 1. Calculate d*y(g) - c(g).\nAnswer: 21*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 5, -0.4, -2\/15 in ascending order.\nAnswer: -5, -0.4, -2\/15, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - 10, 29*r - 25 = 2*b + 34*r for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 45 = -2*p, -x = -5*x - 2*p + 34. Let k = x - 6. Let w = -3.1 + 3. Which is the closest to w? (a) k (b) 4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - h**2 - 4. Let r(t) = 2*t**3 - t - 1. Let c be r(-1). Let z be m(c). Find the first derivative of 9*y**4 + 1 + z - 26*y**4 wrt y.\nAnswer: -68*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*m + 10 = z, 3*z = 5*m - 30. Let p(w) = -9*w**2 - w + 3 - 2*w**3 + 2*w**3 + 2*w**3 + w**3 - 4*w**3. Is p(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2264962+31772\nAnswer: -2233190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3360 is divided by 1679.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.77 * 138\nAnswer: 106.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 419403 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*x**2 - 21*x**2 - 5*x**2 - 39*x**2 - 8562*x + 8562*x.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -547700\/9061 - -2487\/41. Let g = 1\/17 - w. Let h = -6 + 9. Which is the closest to h? (a) -2\/7 (b) 0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*sqrt(7)*2 - (-2 + 1*sqrt(7) - sqrt(7))).\nAnswer: 4 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -1\/6*w**4 + 0 + w + 0*w**3 + 0*w**2. Let c(l) = -2*l**2. Determine k(c(b)).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (201\/(-1675))\/(1\/(-20))*60\/(-24).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*j*k**3*n - 2*j*k**3*x**2 - 2*j*k**3 + j*k**2*n*x + j*k**2*n - k**2*x**2 - 2*k*n*x + 7*k*x**2 wrt k.\nAnswer: -42*j*n - 12*j*x**2 - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 816368563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 1 - 1)*(1 - 3*q - 1) + (-4*q**2 + 18*q**2 + 11*q**2)*(-3 + 2 + 32).\nAnswer: 769*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a + 14 + 209 + 0*a - 3)*(-2 - 1 + 2) to z + w*a and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -51. Let f = s - -48. Let y be (-6)\/f + (-92)\/(-28). Solve 0 = -2*p - y - 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -6 + (-104 - -105 - (1 + -22)) + -55\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 8*j + 11. Let b(k) be the second derivative of -k**2\/2 - 61*k. Let g(s) = 6*b(s) + u(s). Determine g(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8497428 months in decades?\nAnswer: 0.00708119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 63, 72, 35, -48?\n\"Answer: -23*h**2 + 78*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 9) to base 8\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-3 + 1 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 7*u - 12. Let l(o) = o + 3. Let q(y) = -y - 4. Calculate u*q(n) + 4*l(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 7 + -1)*2\/8. Solve 4*u = h - 17 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 313 - 3400?\nAnswer: -3032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1168938 to the nearest integer?\nAnswer: 1081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c. Let h(o) be the first derivative of -7*o**2 - o + 674. Determine h(s) + 4*r(s).\nAnswer: -10*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*k - 50*k - 58*k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.02 + 9.92. Let a = -0.78 - 66.22. Let n = a - 2. Is p not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14258*-31\nAnswer: 441998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3\/19, 0.036, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxinxxaxaxyyxxxxyy. What is prob of sequence ayx?\nAnswer: 44\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l**2 - l + 5*l - 2*l)*(-12 + 1 - 1) - 136*l + 136*l + 19*l**2 to w + i*l**2 + d*l and give d.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32.9641 + 45.1.\nAnswer: 12.1359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-6)*m**(-3\/13)*(m**(-1\/3))**(-39\/4) assuming m is positive.\nAnswer: m**(-155\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4024338 is divided by 4136.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaiiozazxaaxioaaiz. What is prob of sequence xaz?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*y = -8, -21 = -5*o + 3*y + 8. Suppose k = o*k - 3. Suppose n = k + 27. What is the highest common divisor of n and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17603 is divided by 1253?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 15*k - 12. Let l be j(-13). Let d = l + -12. Suppose -d*q + 13 = -q. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 9*h = 871. Suppose -131 - h = -6*u. Calculate the greatest common factor of 44 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + a - 1)*(-1 + 1 - 2) + 23*a + 5*a - 16*a - 3*a + 0*a + a)*(-a**3 - 2*a**3 + a**3).\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 7*t + 7. Let r be d(6). Let n = 2.3 + -0.3. Which is the closest to r? (a) 2\/21 (b) -5\/4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 34, -4\/7 in increasing order.\nAnswer: -4\/7, 2\/9, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from mmdedddkddeedmdkk.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*u = 0. Suppose 5*s + 0*s - 125 = u. Does 25 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97836 is divided by 401?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 6313 - 12183 = 0. Does 21 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + o - 1. Let h = 516 - 295. Let u(z) = -h*z**2 + 6*z - 6 + 112*z**2 + 118*z**2. Determine -6*i(b) + u(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**2 + 2*s**3 + 3 - s**2 - 3*s**2 to k*s + m*s**2 + r*s**3 + a and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.2 + 4.671.\nAnswer: -11.529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + -42. Is 18 a factor of 66\/(-22) + s\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -496413, -496411, -496409, -496407, -496405?\nAnswer: -496403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 203 + -113. Suppose 0*l - u = -5*l. Let a = 4 - -8. What is the smallest common multiple of l and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.3, -1\/9, 2\/11, 5, -1280?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p**2 + 464 - 462 - p + 3*p**2 - p**3. Calculate r(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 147411 and 29159087?\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 - 13 + 3 + 9)*(3*o**4 - o**4 - 3*o**4).\nAnswer: 42*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**6)\/k**(-8\/7)*(k**(-4\/7)*k*k)**(5\/9) assuming k is positive.\nAnswer: k**(-193\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*sqrt(378) - ((sqrt(3402) - 1*sqrt(3402)) + sqrt(3402) + sqrt(3402)))\/(2*sqrt(486)*1) + -4)*3)**2.\nAnswer: 132*sqrt(7) + 1423\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 107\/127 or 2?\nAnswer: 107\/127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, a: 4, j: 3, n: 4, s: 2}. Give prob of sequence sn.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19958636 is divided by 71?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 169, 2145, 7699, 18619, 36693?\n\"Answer: 298*h**3 + h**2 - 113*h - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 87 + -2?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-4)*k)\/k)\/(k*k*k*(k**(-2\/9)*k*k)\/k*k*k))**(-25)*((k**(-1\/2))**(3\/4))**(-5) assuming k is positive.\nAnswer: k**(17735\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.26 - 4.25999556. Round k to seven dps.\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**6\/15 - 47*t**5\/10 + 124*t**4 - 4928*t**3\/3 + 11776*t**2 + 24*t - 47. Factor b(n).\nAnswer: 2*(n - 23)*(n - 8)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 779, 774, 767, 758, 747?\n\"Answer: -s**2 - 2*s + 782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 8 + -13 + 14 + -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -3, 0, -0.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 2:18 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 63354109 a multiple of 271?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -2. Suppose 1231*p = 1243*p - 108. Let c = 3 - 0. Solve -4*w = c*b - 5 - 4, -p = -o*b - 3*w for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3\/4)\/(t\/((t\/(((t**(-2)*t)\/t*t)\/t*t*t))\/t))*((t*(t*(t*t**(-1)\/t*t*t)\/t)\/t*t)\/t)**(-1\/22) assuming t is positive.\nAnswer: t**(-79\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h**3 + h**2 - 4*h - 4. Let z(l) be the first derivative of 5*l**4\/2 + l**3 - 9*l**2\/2 - 9*l + 408. What is 9*u(i) - 4*z(i)?\nAnswer: 5*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/a**(-42))\/a)**49)**(1\/16) assuming a is positive.\nAnswer: a**(2107\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = 17*f + 4928. Which is bigger: -177 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 88 = -6*n + b, 77 = -2*n - 3*b. Let p = n - -33. Suppose -p*l + 3*t = -662, -l + 0*l - t + 331 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p**2 + 5*p + 5. Let d be v(4). Let a(l) = -l**2 - 22*l + 25. Let b be a(d). Solve b + 13 = 3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5772 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 439112147 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 456694.332911 + -456930.967. Let m = 234.564 + f. Let u = 2.07 + m. Round u to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*g + 313 = -g, 0 = 3*f - 5*g + 325. Let l = 112 + f. Suppose 79 + 12 = l*n. Calculate the lowest common multiple of 9 and n.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -5*k - 53, 4*g = -2*k + 20 - 2. Suppose 2*j = g - 1. Suppose 5*i - 14 = 2*c, j = 3*i + c - 1. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 times 44\nAnswer: -1892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8409487 kilograms in grams?\nAnswer: 840.9487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -344892 and -277224588.\nAnswer: -277569480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = v + 2*p - 12, p = -2*v - 3. Suppose l = -v*l. Solve l = -5*f - r - 2, 10 = -0*f + 5*f - 5*r for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*t + 208, 4*i + 199 = 2*t + 3*i. Suppose -4*h = -6*h - t. Let r = 69 + h. What is the greatest common divisor of r and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8050897.\nAnswer: 23, 350039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 50414*x**2 + 132368*x**2 + 53320*x**2.\nAnswer: 135274*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 7:21 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 11*r**2. Let m(w) = -w**2 - 12*w - 12. Let x be m(-11). What is the smallest common multiple of 6 and s(x)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 2 + -1 + 82 - 29.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -54, -3 in increasing order.\nAnswer: -54, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 86627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 = 36211\/9609?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.2 (b) -0.1 (c) 3 (d) 0.95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 427421639*t**6 - 3990*t**2 - 3*t + 266 wrt t?\nAnswer: 51290596680*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**3 - 111*l**2 - 457*l - 345 = 0?\nAnswer: -3, -1, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**2 + 2726*b - 2724 = 0.\nAnswer: 1, 1362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*n + 14*u - 12*u - 12, -3*n + 8 = 5*u for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u + 16. Let s = 11 + -3. Calculate j(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2565?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2982, 6050, 9134, 12240, 15374, 18542, 21750?\nAnswer: 25004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 333247, 666495, 999743, 1332991, 1666239, 1999487?\n\"Answer: 333248*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/110 and -57\/407?\nAnswer: 4070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8134 = -m + 318*w - 320*w, 5*m - w - 40714 = 0. List the prime factors of m.\nAnswer: 2, 3, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -89591 + 89595.00008. Let o = 10 + -14. Let r = o + z. Round r to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206395 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: Suppose -15 = 5*n + 5. Suppose 0 = -2*t + 5*t + 18. Let i = n - t. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*j**2 + 3842293*j - 3842293*j.\nAnswer: 37*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 0.6. Suppose 0 = -2*n + a + 4, -5*n - 4*a + 5*a = -10. What is the second smallest value in d, n, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-6*(sqrt(19) + 2*sqrt(1539)) - ((sqrt(684) + sqrt(684) + 1)**2 + sqrt(38)\/sqrt(2)*6)).\nAnswer: 432*sqrt(19) + 8211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -8*s + 18. Suppose -q - s*f = -7, 2*f - 5 + 1 = -q. Which is the nearest to -3? (a) -5\/2 (b) 0 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 13. Let p be -3*(6\/d)\/(-1). Let x be (-2 - 5\/p)*6. Solve 0 = -3*h + x*t + 24, h = -6*t + 3*t - 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*x = -50*x + 8001. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (0 - (-6 + 3 - -6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -1, 42 in ascending order.\nAnswer: -4, -1, 3, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 562 - 238. Let p(v) = 1 + 165*v - y*v + 158*v. Let b(q) = q - 1. What is 7*b(k) + 6*p(k)?\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + m + 6*m)*(3 - 4 - 2)*(0 - 1 + 0)*(4 - 1 - 2)*(18*m**2 - m**2 + 14*m**2).\nAnswer: 930*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -12*-227\nAnswer: 2724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 33*l - 1044. Give b(36).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*b + 11 - 3 = 0, -4*z = 3*b - 89. Suppose -z - 50 = -7*d. Let y(c) = c**3 - 11*c**2 + 9*c + 9. Determine y(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.673091 meters in centimeters?\nAnswer: 467.3091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/27300 and -89\/1560?\nAnswer: 54600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -819745 divided by -5?\nAnswer: 163949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 k when two letters picked without replacement from lbbblbblbkllbkkb.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((18\/(-84))\/(18\/(-21))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -10*n**3 - 1. Let a(g) = g**2 - g + 2. Let h be a(2). Let l = 0 + 3. Let v = l - h. Calculate i(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + (-64)\/(-11) + 4\/22. Let c be 1 + -1 + 3\/(-1). Let k = c + a. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406*n - 8 = 401*n + 2*x, 2*x = -18 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126970733?\nAnswer: 3067, 41399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 148090760 and 400?\nAnswer: 1480907600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -13585000 rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (13 + -7)*(-3)\/(-6). Suppose 0 = -17*x + 62 + 142. What is the greatest common factor of x and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2 - 4. Let m be (1\/(-3))\/(c\/(-6)). Which is smaller: m or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -201083.608822 and 5.\nAnswer: -201078.608822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 98.2067 grams?\nAnswer: 98206700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 315901, 315904, 315909, 315916, 315925, 315936?\n\"Answer: l**2 + 315900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - 3*d + 11*d.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 27*g - 5. Let m be z(5). What is the greatest common factor of 52 and m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(65))\/(sqrt(5) + 3*sqrt(15)\/sqrt(3)).\nAnswer: 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 8 = 2*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-8)\/96*(8 + 25*50\/125)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 12369880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-2 - (33 + -128 + 9 - (1 + 0)))\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 93 + 678. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.45685416 to 1 decimal place.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 12) to base 15.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195536 = -23*z - 65*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t - 3. Let h be z(0). Let y be (-21)\/12 + h\/(-2). Let q be (6 + -7)\/(2\/(-10)). Which is the closest to y? (a) -2\/7 (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*s**4 + 1829*s**3 - 2*s**2 + 8276 wrt s.\nAnswer: -8*s**3 + 5487*s**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1104142, -4416565, -9937274, -17666269, -27603550?\nAnswer: -39749117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15362 - -37230. List the prime factors of w.\nAnswer: 2, 7, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -37*y**6\/3 + 13*y**2\/2 - 28. Find the second derivative of p(t) wrt t.\nAnswer: -1480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302541130.\nAnswer: 2, 5, 30254113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 + 262. Suppose l - 791 = -5*p - h, -p = 5*l - 137. List the prime factors of p.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 208771*q**5 - q**4 - 920790*q wrt q?\nAnswer: 4175420*q**3 - 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4952.988 millennia in years?\nAnswer: 4952988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6136698 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117 + 9*f + 117.\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2320 + 11599\/5. Let y = 5 - 2. Sort a, y, 0.5, 2\/5 in descending order.\nAnswer: y, 0.5, 2\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*p**4*z + 1637*p**4 - 137*p**3*z - 19*p**2*z - 11*p*z - 3944*p wrt p.\nAnswer: 72*p*z + 39288*p - 822*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -303 + 302.98. Let p = 0.05 + -0.04. Let g = p - l. Which is smaller: g or 6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29600 and 6660?\nAnswer: 266400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = -380 + 3060. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 350*y**4 - 13*y**2 + 8*y + 1137099.\nAnswer: 1400*y**3 - 26*y + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 18 - 907 = a, -3*j + 690 = -2*a. Calculate the remainder when j is divided by 40.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n - 2. Let x(r) = r**3 + 8*r**2 - 16*r + 7. Let t be x(-7). Let v = t + -174. What is g(v)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - w = -52. Let a = -2 - -18. Let q = a - w. What is the highest common factor of 3 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166, -380, -594, -808?\nAnswer: -1022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 27*x + 48. Let f(s) = 242*s + 440. Let h(y) = 6*f(y) - 55*w(y). Let b(j) = -67*j. Calculate -6*b(l) + 13*h(l).\nAnswer: -27*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*x**2 - 7*x**2 - 41*x**2 + (2 - 1 + 1)*(2*x**2 - 3*x**2 + 0*x**2).\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -545676*s**3 - 1442*s + 11*s**4 + 58*s**5 + 545676*s**3 + 22*s**5 wrt s.\nAnswer: 1600*s**3 + 132*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 17) + -2 + 2 + -4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-82)\/82)\/((-2)\/4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x**2. Let y = 394\/7 - 7873\/140. Let w(o) be the third derivative of -y*o**5 + 7*o**2 + 0*o**4 + 0*o + 0*o**3 + 0. Determine p(w(z)).\nAnswer: -36*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -114, -232, -350?\n\"Answer: -118*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.57101 milligrams in micrograms?\nAnswer: 94571.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (0 + -2 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 times 125.33\nAnswer: 150.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wonn when four letters picked without replacement from {b: 1, w: 1, o: 1, q: 1, r: 1, n: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + 0. Suppose x*v**2 + 3*v + 4*v - 3*v**2 + v = 0. What is v?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109439587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 8 - (18 + -22 - 1)) + 1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + -1 + sqrt(17) + 1*sqrt(17) + 5 + (sqrt(272) + 2 + sqrt(272) + sqrt(272))*-1)**2.\nAnswer: 8*sqrt(17) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 8*t. Let c = -6 - t. What is the remainder when 4\/6 + (-512)\/c is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - c = -231, -3*t - c + 117 = -t. What is the remainder when 110 is divided by t?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-6))\/(8\/(-72)). Is y*-26*(-3)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/(3 + (-216)\/(-18)) + (8 - 2)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 15*k - 20*k. Let o be k\/(-4) - (-33)\/12. Solve -o*y = 7*t - 2*t - 2, t + 10 = -3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 27374*m**2 + 100*m + 2478. Let s(w) = 5475*w**2 + 19*w + 496. Let i(r) = -3*q(r) + 16*s(r). Find the second derivative of i(z) wrt z.\nAnswer: 10956","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (174\/(-12) - -9)\/(5\/(-3350)).\nAnswer: 5, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86183 is divided by 183.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -260 + 156. Let w = 115 - p. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -90 and 3206.\nAnswer: 3116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, 105 in ascending order.\nAnswer: -4, 6, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 3*u - 3*u. Let j(y) be the second derivative of 23\/3*y**3 + 3*y - 21 + 0*y**2. Calculate l(j(d)).\nAnswer: -2116*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 59 divided by 14\nAnswer: 59\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-68)\/8)\/((-2)\/(-4)). Let g = 32 + b. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-5)*77\/(-55)*(-260)\/(-312)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45567*o + 4*x + 72 = 45570*o, 5*o = 11*x + 198 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47.18 + 43.1. Let w = c + -3.92. Let j = -1.2 + 0.2. Sort j, 0.4, w, 3\/8 in descending order.\nAnswer: 0.4, 3\/8, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 133? (a) -1\/6 (b) 149 (c) -188\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2919657.\nAnswer: 3, 13, 43, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2466 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.862 and -0.2.\nAnswer: 0.5724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1032072 and 111.\nAnswer: 38186664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(300)*3)\/(3*sqrt(400)))**2.\nAnswer: 2*sqrt(3) + 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/5 (b) 0.2 (c) 1 (d) 5.34 (e) -4 (f) -2434\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b**3 - 2*b + 0*b**3 + 3*b**2 + 4*b**3 - 5*b**3 to h*b**3 + z*b**2 + g*b + j and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-5\/7)\/((d\/(d*d**(-21)*d))\/d))\/(d\/((d\/(d*d**(-38)))\/d))**(-21))**42 assuming d is positive.\nAnswer: d**(-32580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 169329689 to the power of 1\/2, to the nearest integer?\nAnswer: 13013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/32994292 and 65\/1064332.\nAnswer: 32994292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1953 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -a, -4 = -2*h + 2*a + 8. Suppose -3*g - p - 8 = 0, -4*g + h*p - 2 - 34 = 0. Let b(v) = -v + 1. Calculate b(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + 160\/(-28) - 66\/(-14). Suppose 0 = -5*r - w*q + 15, -4*r - 2*q = -5*r + 9. Let g(c) be the first derivative of -c**2 + 6*c - 2. Give g(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 17\/2 of a kilogram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 3. Let d = -3354 + 6511\/2. Let r = 99 + d. Which is the closest to m? (a) 4 (b) r (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 24 - 6 = 0. Let m(s) be the first derivative of -s**2 - 4*s - 15. Calculate the remainder when 54 is divided by m(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (397\/1191)\/((-1)\/78).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (8 - 11) - 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62 + -63.04. Let r = j + 1. Let i = -0.04 - r. Which is the third smallest value? (a) i (b) -0.1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 566764, 1133532, 1700300?\nAnswer: 2267068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + w = -19, -3*i + 4*w + 17 = 1. Let d(x) = -3*x + 4. Let y be d(3). Let m = y + i. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 5*x - 10. Let s be t(3). Let m(a) = -3*a - 1. Calculate m(s).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9742 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -8*f**3 + f**2 - 2. Let h be z(2). Let a = 49 + -33. What is the remainder when -3*-1*h\/(-6) is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/10)\/8)\/(-5*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - -1)\/(4 - 3). Suppose -g + k*g + 9 = -3*d, -5*g - 5*d - 5 = 0. Suppose 2*a - g*a + 29 = 0. List the prime factors of a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/128570 and 141\/374530?\nAnswer: 8614190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -100.\nAnswer: -100, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of u**4\/12 + 31*u**3\/6 + 15*u**2 - 82*u - 1. Let y be f(-30). Find t, given that 1\/7*t**3 - 1\/7*t + 0 + y*t**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-66)*(-2)\/(-2).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-5 - (1 + 2 + 3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 354.97 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/46254600 and -41\/132156.\nAnswer: 46254600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -10201.004 to the nearest 100.\nAnswer: -10200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {k: 3, b: 7}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(8) + -1)*-3 + sqrt(8))**2 - (sqrt(162) + -5 + sqrt(162)*1)**2).\nAnswer: -631 + 156*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2126*f + 12766. Determine i(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/(-2)*(55\/60 + -6) and 53\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 47084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*s - 24*s - 10*s - 2*s**2 + (4*s + 13 - 13)*(-1 + 1 + 2*s).\nAnswer: 6*s**2 - 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 3*g - 6*g)*(177 + 180 - 378)*(-4*g**3 + 4*g**3 - 1 - g**4).\nAnswer: -42*g**5 - 42*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -12 - 6. What is the least common multiple of 22 and c?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 138767980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73.062 - -73. Let l = x - -0.052. Round l to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2588 or 132?\nAnswer: -2588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5 + 7 = 0. Suppose -1 = c, -q + 3*c = m*c. Suppose p - q = 4. Sort -2, -3, p in decreasing order.\nAnswer: p, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**3 - 4*r**3 + 8*r**3 + 15*r + 5*r**3 - 15*r + (-r + 0*r + 4*r)*(-4*r**2 - 2*r**2 + 2*r**2).\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*n = -3*l + 5, -35 = 2*l - 5*n. Let h = l + 4. Let y = -2767.8 - -2768.1. Put -0.4, y, h, -2\/11 in increasing order.\nAnswer: h, -0.4, -2\/11, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, m: 2, p: 2, b: 1, t: 1, s: 2}. What is prob of sequence mt?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, z: 1, s: 4, p: 7, m: 4}. What is prob of picking 1 z and 1 p?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 1175*n + 29. Let y(r) = 588*r + 16. Give 5*l(b) - 9*y(b).\nAnswer: 583*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -62*k**3\/3 - k**2\/2 - 534. Let a(g) = 3*g. Calculate j(a(w)).\nAnswer: -558*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-5040)\/(-819))\/(1190\/(-1105))\nAnswer: -40\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 854*u**2 - 846*u - 4195. Does 13 divide q(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 0.1, -1, -5, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 4*s + g - 1740, g = 4*s - 1675. Let o(f) = -4*f**2 - 419 - 4*f**2 + s. Let k(q) = -3*q + 3*q + 3*q**2. Determine k(o(u)).\nAnswer: 192*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 61*r**2. Let v(n) = -n - 29. Give v(w(x)).\nAnswer: -61*x**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.18 * 36393.\nAnswer: -6550.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1*1\/1*210\/(-2415)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 243 + 11402?\nAnswer: 12200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 29*t + 79. Calculate k(-27).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0\/(-15))\/((-362)\/181). Determine x, given that 5*x - 125\/4*x**4 + 20*x**2 + c - 35\/4*x**3 + 15*x**5 = 0.\nAnswer: -2\/3, -1\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1836 is divided by 457?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 71 = 2*u - 5*o, 0 = 2*o - 10. Let k = u - 2. Round k to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.41 + -109.59. Let o = -110.99999472 - s. What is o rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 773 a factor of 828656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, t: 3, y: 3, f: 3}. Give prob of sequence yy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 27 = -5*q, -4*q - 12 = -g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-168)\/(-462))\/(702\/297)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w. Let r(u) = -u. Let x(q) = 2*r(q) - 3*y(q). Let o(s) = s - 5*s + 5*s. Give x(o(j)).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17865679*s**5 + 1766057*s**2 wrt s?\nAnswer: 1071940740*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1115.\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/3*-5 - -1. Let m = 8 - 21. Let p = -12 - m. Are p and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r + 1 - 6 - 7*r - 5*r.\nAnswer: -6*r - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-23 + 25 + 2 + -13 - -1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 631 + -645. Let d = -18 + 15.9. Let t = d - -2. Which is bigger: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4613359 divided by -24\nAnswer: -4613359\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + u**2 - 2*u + 2. Let p be w(-2). Sort 4, p, 8, -6 in decreasing order.\nAnswer: 8, 4, p, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + 62. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12081 a factor of 406839756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 18 = 4*w. What is the greatest common divisor of 90 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)\/sqrt(40))\/(sqrt(35)\/sqrt(5)*3).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7691183 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27\/14? (a) -4 (b) -0.1 (c) -2\/11 (d) 191 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -2, 167, 4, -4.\nAnswer: -12, -4, -2, 4, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jzlk when four letters picked without replacement from {k: 2, l: 1, z: 1, j: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 11*z**2 + 2*z - 13. Let t be m(11). Suppose 0 = -t*s - 291 + 2307. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -192236 or -192059?\nAnswer: -192236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*c + 23, 3*k = -2*c - 16 + 1. Let a be 1085\/(-25) + c\/10. Let t be 5\/(2 - (4\/a + 2)). What is the highest common divisor of 5 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43104521 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0.2. Let w = -0.1 + u. Let d = w - -0.1. What is the third smallest value in 2, d, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*j = 123*j + 90. Let f = 44 - 20. Calculate the remainder when f is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 52*v*w**2*x + 8*v*x + 127*v + 5*w**2*x - 37*w**2 wrt w.\nAnswer: 104*v*w*x + 10*w*x - 74*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuguuggguu. What is prob of sequence gg?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9077842551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**3 - 420*r + 78*r - 4*r**3.\nAnswer: r**3 - 342*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z**2 - z + 3. What is the remainder when 39 is divided by y(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 8*p + 43. Give u(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -639*h + 2 + 4 - 6 + 20*h to n*h + f and give n.\nAnswer: -619","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -4. Let o = 0.2 - 0.3. Let f = o + 0.5. Which is the closest to -1\/2? (a) g (b) f (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/(-5740)*41)\/((-33)\/8).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eyydjbb. Give prob of sequence ej.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -33134 at most -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/10)\/1*10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -188085, -188257, -188429?\n\"Answer: -172*h - 187913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - (-14)\/4)\/((-20329)\/(-2088)). Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -r - 2. Suppose -3 = -h + 4*h. What is the remainder when (-1)\/(4\/176*h) is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -465*s + 7245. What is t(16)?\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*i + 17185 = -65504. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 114838\nAnswer: -5\/114838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -199.5209652 - -0.96\nAnswer: -198.5609652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z + 2*z + 3*z**4)*(-1 - 1 - 6)*(-2 - 1 + 5) to the form c + n*z**4 + t*z**2 + l*z**3 + y*z and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 648445096 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 120.3 - 114. Let s = -1.6 + -4.4. Let x = z + s. Sort 3, x, -4 in increasing order.\nAnswer: -4, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -2*w + 28. Suppose -w*z = 2 - 10, 5*k - z - 118 = 0. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - 2*d**2 + d**2)*(2*d - 2*d - d) + (-d - 3*d + d)*(4*d**2 - 2*d**2 - 3*d**2).\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 65*l**3 + 35*l**2 - 35*l + 35. Let t(p) = -11*p**3 - 6*p**2 + 6*p - 6. What is -6*i(w) - 35*t(w)?\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 154\/5 (b) 42 (c) -3 (d) 4\/5 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 + 3*p**2 + 5*p**2 + (5*p - 2*p - p)*(-4*p - p + 4*p) + 0*p + 0*p - 2*p**2 + (0 + 2 - 3)*(-4 + 4 + 4*p**2).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -22 + 5*b - 26*b + 22 - 9*b. Give w(2).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z**4\/7 - 4595022*z**3\/7 + 105683190*z**2\/7 - 657069138*z\/7 + 79425852 = 0. What is z?\nAnswer: 1, 11, 765814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 5. Let h(a) = -a**3 - 2*a**2 - 2*a - 1. Let q be h(-1). Put q, -1, v in decreasing order.\nAnswer: q, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 51 in 3, -4, -3, 0.0372, 2, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*1*(-1 - -2)*1*-2. Solve 5*z + 4 = -g - g, 2*g - i*z = 10 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*d**3 + 26*d**3 + 37*d**3.\nAnswer: 41*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17588, 35417, 53246?\nAnswer: 71075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y. Suppose 2*o = 2*h - 5*h + 113, 3*h - 4*o = 89. Let c(x) = -h + 35 + 17*x. Give c(l(v)).\nAnswer: 34*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*y + 4*y. Suppose -5 + 15 = -5*v. Suppose 15*s + 32 = -13. Which is the nearest to v? (a) y (b) 4\/5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0170535015 - -4.\nAnswer: 3.9829464985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/12 + 10662\/24. What is the greatest common factor of 12 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 - 47137169*k**2 - 5 + 47137169*k**2 - 5 + 10.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.01 - 9.935. Put -0.3, 0, p in descending order.\nAnswer: p, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.021 - -0.121. Let r = 0.2 - 0.3. Which is the nearest to -2? (a) r (b) 0.2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -556 - -555.16. Let v = o + 0.83999469. Round v to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*y = 106*y + 425 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2823550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1134 - -1453130?\nAnswer: 1454304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -110835050 to the nearest one million.\nAnswer: -111000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6718*w**2*y**3 - 3*w**2*y**2 + 174*w + 137*y**3 wrt w.\nAnswer: 13436*y**3 - 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 192847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*t = -5*t - 59, 2*t = 2*q + 26. Calculate the common denominator of 2\/(-6) - (-169)\/48 and 33\/15*(-105)\/q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from debecbecre. Give prob of sequence cec.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ehekhzzhei. What is prob of sequence zhiz?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558672?\nAnswer: 2, 3, 103, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k - 32576 = 2*k - 344750. What are the prime factors of k?\nAnswer: 3, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 26*h - 28. Let v be x(-25). Let m be v\/(-2) - 2254\/(-28). Let d = 12 + m. What is the remainder when d is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 937 a factor of 1770324441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (270 - 279) + -1 + 7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 59*a + 19*a + 8818845 - 35542035. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/11)*z**27 assuming z is positive.\nAnswer: z**(299\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 105160995 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49.13 + 49. Sort -4, 3\/2, j, -2\/15 in ascending order.\nAnswer: -4, -2\/15, j, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -0*y + 64. What is the remainder when 61 is divided by y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15013279.99 to the nearest one hundred thousand.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 128 - 130. Is 36 a factor of (20\/2)\/u - -61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4381359 is divided by 1664.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.1 - 7.069. Let x = n + -0.091. Which is the nearest to -0.1? (a) 5 (b) x (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from meyybmer. What is prob of sequence ybmr?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.28 in 3, 0.5, 2\/9, -5, -3\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1\/2, -0.4 in decreasing order.\nAnswer: 1, 1\/2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 123302732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 18*f**2 - 1466*f + 640. Give a(81).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/10? (a) 9 (b) -4.688 (c) 5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -3*o**2 + 559495878*o + 559495881 = 0.\nAnswer: -1, 186498627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13770 - 9791. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {f: 2, g: 4, k: 2, d: 3, h: 3, o: 4}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-30)\/(-20)*(-1 - -3). Let m be 8\/(-2) + (k - -3). Suppose -2*n - 574 = -m*c, -865 = 2*c - 5*c + 2*n. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 divided by 4854.\nAnswer: 79\/4854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-2)*(-120)\/32)\/(((-1)\/1)\/(-4)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 16*k**3 + 2*k**2 - 1. Let p be b(1). Let m = p - 23. Let a(h) = h**2 + 4*h - 6. Let n be a(m). Solve l - n*l - 25 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 - -3.3. What is the smallest value in 0.1, 3, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14229\/(-186))\/(81\/(-18)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 1720*u + 17352. Give j(-10).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/10 and -34\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4761 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j + 7. Let o be p(4). Let h be -1 - (1 - 7\/4). What is the nearest to -1 in 0.3, h, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 10*n**2 + 11*n + 2. Let x(w) = -2*w**2 - w. Let g(b) = f(b) + 2*x(b). Find the second derivative of g(q) wrt q.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84194046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-376)\/(-56) - 144\/84. Sort -1, 22, g, -2, 34.\nAnswer: -2, -1, g, 22, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47\/(4230\/54))\/((-2)\/8*18)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 669266 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -1243 - y + 1243. Let u(h) = h + h - 4*h. Give u(i(p)).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -r - g + 172, -5*g = 20. Suppose 5*b - 311 = r. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 2 + -3 + -6 + 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 12:45 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -17 * -0.81481\nAnswer: 13.85177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*o - 20073 - 22970, 0 = 4*o + 12. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4515 divided by -7\nAnswer: -645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ugoa when four letters picked without replacement from {u: 3, a: 1, o: 2, q: 1, g: 4, x: 1}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*p - 11. What are the prime factors of p - -3 - 0 - -14?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 60 (b) 0.0742 (c) -2\/3 (d) 2 (e) 0.3 (f) 6\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + -7 + (-1)\/(-1) + 757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11653.\nAnswer: 43, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4111 and 45221?\nAnswer: 45221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/2, 310\/3, 0.4, 1\/3, -2100?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*d + 26*d + 4 = 0, -5*y + 17485 = 5*d. List the prime factors of y.\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + 20. Which is smaller: k or -2\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5959958429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 3)*(5 - 4 + 0)*(-4*w + 2*w + 3*w)*(37725 - 37725 - 1458*w) as f + k*w + h*w**2 and give h.\nAnswer: 2916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {d: 9, l: 5}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 4*z**2 + 0 + 5*z**2 as o + g*z + v*z**2 and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - 3. Which is the second smallest value? (a) 3 (b) 2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p - 256 = 5*o - 12*p, -4*o + 5*p = 228. Is 29 a factor of 78\/o + (-1530)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 2*d**2 - d + 4. Suppose 4*b = 6*b - 6*b. Let o be w(b). Solve 16 = 4*t - o for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**2 + 3012 - j**2 - 3012.\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 22513*i + 67906. Calculate q(-3).\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -10 + 42. Let q = -0.071 + 73.071. Let a = q + -74. Is a less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12 + (-2 - -4 - -1). Suppose j = -7*g + 10*g. Suppose -13 - 127 = g*q. Is -27 greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 11510*u - 91939. Determine j(8).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s + 4 + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -254 + 263. Let t(l) = 67*l + 36. What are the prime factors of t(g)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than 0.0704269435?\nAnswer: 1.0704269435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, d: 1, b: 1, r: 1, x: 4}. Give prob of picking 1 r, 1 b, and 1 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6*22\/(-16)*(-48)\/792*-14*1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddmgppgdddg. Give prob of sequence pgd.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 34667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c\/((c\/c**(9\/5))\/c))\/c)*c\/(c*c**(-1\/13))*c)\/(c*c\/(c*c**(-2\/3)*c))**(-20) assuming c is positive.\nAnswer: c**(2654\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -j + 1692, -4*j + 4*y + 6798 = 9*y. What are the prime factors of j?\nAnswer: 2, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102814 greater than 102815?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442668 is divided by 357?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 234*y + 9310. Determine p(35).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r - 1. Suppose 0 = 2*a - 6. Suppose a*o + 2*x = -0 + 10, -12 = -4*o - 4*x. Suppose 2*t = -2*c + 6*t + 20, o*c = 3*t + 15. Give g(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16\/(-12))\/(3\/18) + 4. Let o be (-1)\/(2*(-2)\/24). Does 7 divide 24 - p\/6*o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*d**2 + 75*d**2 + 59*d**2 + 21*d**2.\nAnswer: 67*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 65 = y, 5*a + 5*y = 2*y + 319. Let n = a + 6. What is the smallest common multiple of 22 and n?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/48)\/((-4)\/(-24))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.28, -4, -3\/7, 5\/3 in ascending order.\nAnswer: -4, -3\/7, 0.28, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1014)\/(-3744)*-8*(-4 + 11 + 3)?\nAnswer: -65\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 5. Suppose 0 = 2*s + 3*s + 4*g - o, 0 = 5*g - 10. What is the remainder when 6 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 421842573?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -6.9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30183077 and 4246?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9 times 1059899\nAnswer: 9539091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4028 and 44.\nAnswer: 44308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 144 = -c. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-4) + 230396\/16. Suppose t + w = -t. Round t to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1255, -2874, -4495, -6118, -7743?\nAnswer: -9370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a + 24. Give g(-12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 255367523 less than or equal to 255367525?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 172334725\/429 - 401713. Let a = w - -3\/143. Sort -3, 0.5, a in ascending order.\nAnswer: -3, a, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288 = 765*m - 2772 - 765 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/9 + (-346)\/(-18). Let d = v - 13. Let h be d\/3 - 4\/2. Which is smaller: h or 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1001 + -1000. Let q = 0.267 + 0.033. Which is the biggest value? (a) q (b) 3 (c) 2\/5 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*f + 0)*(2*f**4 - f + f) - 2*f**5 + 5*f**5 + 0*f**5 + (-2*f**5 - f**2 + f**2)*(-1 - 2 + 4) + 2*f**2 - 2*f**5 - 2*f**2.\nAnswer: 3*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -114?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52083 and 52287.\nAnswer: 907754607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 23 - 14*r - 5 + 0 - 11*r**2 - 6. Is d(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/5 and 152\/(-24) + 6 + 472\/678?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2934*m**5 + 2*m**2 + 41*m + 4.\nAnswer: -58680*m**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146, -139, -110, -47, 62?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + 10559532*g**2 + 105595095*g + 263987550.\nAnswer: 3*(g + 5)**2*(g + 3519834)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 7, -5\/7, 11, -0.4 in ascending order.\nAnswer: -1, -5\/7, -0.4, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bbfbvbbkbbbkf?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**4 - 85785*m**3 - 1839552079*m**2 + 9199561965*m - 7359924100 = 0. What is m?\nAnswer: -42895, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -64, -95, -126, -157, -188, -219?\n\"Answer: -31*h - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1569.42 to the nearest ten.\nAnswer: 1570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*h**3*q**3 + 16*h**3*q + 2*h**3 + h**2 + 21*h*q**3 + 162874*h*q - 2*h + 59152*q**2 wrt q.\nAnswer: 42*h**3*q + 126*h*q + 118304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6*s**2 + 93*s + 59. Let i(w) = 7*w**2 + 106*w + 58. Let t(n) = -6*h(n) + 5*i(n). Calculate t(-25).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4 - 0, -h + 21 = 3*v. Calculate the remainder when 30 + 9*2\/6 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2. Let f(s) = 428*s + 3. Give f(z(x)).\nAnswer: 856*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4}. What is prob of picking 4 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9\/5*s**2 - 464\/5*s - 140 = 0. Calculate s.\nAnswer: -50, -14\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -172342*t + 3791483. Calculate f(22).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 35*m + 124. Give u(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 61 = -11*o, -93*g + 96*g + 43 = -2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27016 divided by -283.\nAnswer: 27016\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10077 = 20*b - 3823. Suppose -7*q + 6*q + b = 0. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-1) + 4)\/(391\/12121)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20889127 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**3\/4 - 6020*c**2 - 23625*c\/4 + 1083375\/2 = 0. What is c?\nAnswer: -4815, -10, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*n*q**3 + 12077*n*q**2 + 24*n*q - 10*n + q**4 - 237*q wrt q.\nAnswer: 24*n*q + 24154*n + 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1072961 - -7300426741\/6804. Find the common denominator of g and -23\/48.\nAnswer: 27216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1459 + 16*i**3 + 480 - 220.\nAnswer: 16*i**3 + 1719","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((5 + -6)*1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**3 + 2*i**2 + 4*i + 2. Let h be q(-2). Suppose -37*v + 590 + 406 = 129*v. Calculate the greatest common divisor of h and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 262*d*i**3*s + 33*d*i**3 + d*i**2 + 11*i**3*s - i wrt s?\nAnswer: 262*d*i**3 + 11*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.2 and 5800910 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n + 1. Let z(i) = -4*i. Let v be z(-1). Suppose v*c = -4*m + 4, 2*c - 4*c - 4 = 0. Give w(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/12)\/(u\/((((u\/u**(-32))\/u)\/u*u)\/u)))\/((u\/(u\/((u**(-14)*u)\/u)*u))\/u*u\/((u*u**28)\/u)) assuming u is positive.\nAnswer: u**(877\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 9 + 73*l**3 + 13 - 40 + 534*l**3 + 11.\nAnswer: 607*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.4 - 0.4. Let a = -376\/3 - -124. Let p = a + 1. What is the nearest to p in -0.5, 4, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -632, 2, -1, -14, -5 in descending order.\nAnswer: 3, 2, -1, -5, -14, -632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 21020?\nAnswer: -21002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k = -69*k - 66 + 1729 + 497 for k.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7472 - 3768 + 1853)*(-s + 0 + 2*s - s**2 - 2) in the form i*s**2 + q + h*s and give h.\nAnswer: -9387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r - 2. Let y be x(-4). Let s be 224\/(-128) - 19\/(-4). Solve -5*n - y = 3*m - n, 3*m = s*n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 269742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27184 and 174997.\nAnswer: 1699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 10*t**2. Let d(q) = -493*q. Determine x(d(y)).\nAnswer: 2430490*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = 28*v - 16*v - 3*h, 5*h = 4*v - 61 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -9. Let q be (-3)\/x + (-7)\/(-3). What is the highest common factor of 10 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 7*i - 34. Let o be h(12). Let l = o + -38. Let u(w) = -w + 11. Let m be u(6). Solve 20 = -m*k + 4*q, -2*k + q = -5*k - l for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**2 - 7*i - 131. Let t(o) = 4. Let q(c) = -4*t(c) - y(c). List the prime factors of q(0).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -227?\nAnswer: 1362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o**2 - 9*o**3 + 11*o**2 - 12*o**2 to the form x*o**3 + w*o + s*o**2 + n and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 1.4 (c) -1 (d) 1\/9 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 128 and 1024?\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 28*t**2 - 2*t - 2. Let j = -9 + 8. List the prime factors of g(j).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7772+-16\nAnswer: 7756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 5*u**2 - 8*u - 14. Give b(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -4, 3*c = p + 5*c + 58. Let m be (-18)\/15*(-15)\/(-6). Let s be p\/35 + (-1 - m). What is the biggest value in -4, s, -2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 581, 4845, 16417, 38951, 76101, 131521, 208865?\n\"Answer: 609*k**3 + k - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1856000000 rounded to the nearest one million?\nAnswer: 1856000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23\/3 in 2\/5, 7, 0.019, 0, 0.1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-399)\/(-28) - (-2)\/(-8) and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0*k)**(-42))**(-2\/15)*(k**(-1))**42\/(k*k**2\/k*k\/(k**(1\/4)*k)) assuming k is positive.\nAnswer: k**(-763\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1*sqrt(152) + sqrt(152)))\/sqrt(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in -362, -1\/9, -0.2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (1 + 0) - (2 - 15). Let b be (1\/t)\/((-203)\/(-63) - 3). Solve b*z**3 + 21\/8*z + 15\/8*z**2 + 9\/8 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 e when two letters picked without replacement from {z: 4, e: 7, c: 1, i: 1}?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -8. Put -5, i, -3 in ascending order.\nAnswer: -5, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-18)*2\/(-8)*0\/(-23).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + d - 1 = 0, -k + 10*d - 24 = 5*d. Let z(b) be the first derivative of k + 0*b + 2\/9*b**3 - 1\/12*b**4 + 0*b**2. Factor z(j).\nAnswer: -j**2*(j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(5\/7)\/(q**(-11)*q)*q**(-22)*q**(-1\/53) assuming q is positive.\nAnswer: q**(-4194\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (34\/8 + -3)*4. Suppose -5*l = 0, -2*l = -w*n + 81 + 14. Calculate the highest common factor of 95 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by -10063975\nAnswer: -17\/10063975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1609045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5*o**2 - 15*o + 45. Let u be s(8). Let r = 810 + u. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = a + 5*t + 7, 9 = a - 3*t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 15 = -5*b, -3*b = -7*b - a - 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.008643353 rounded to three decimal places?\nAnswer: 4.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 200 and 3276?\nAnswer: 163800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 59940000 to the nearest 1000000.\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15453305 and 420?\nAnswer: 185439660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2076348671 - -73.\nAnswer: -2076348598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2049 divide 17436990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -m**3\/3 - m. Let q(t) = 2*t. Let p(i) = i + 2*i - 2*i. Let u(c) = 14*p(c) - 6*q(c). Give u(x(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 287.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 88044 + -88041. Let l = -5 - 1. Which is the nearest to 2\/11? (a) 0.3 (b) 2\/7 (c) l (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -53. 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 f = 31 - 34. Let x be f\/5 + (-39549979)\/35. Round x to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 0, -119, -450, -1101, -2180?\n\"Answer: -18*l**3 + 2*l**2 + l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 37 = -n, -15 = 5*n + 21*k + 168 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*7\/(-7)*(-2)\/10.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19476435 and -0.2?\nAnswer: 3895287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 149719988 = 2*j, 0 = -z + 25*j - 29*j - 37430024. Round z to the nearest one hundred thousand.\nAnswer: -37400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/7*(1 - 0). Let z = -451768\/1129445 + -2\/225889. What is the closest to z in r, 4, -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-273.\nAnswer: -109.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*n + 3131574 + 4250698. Let p = n + -2071392. What is p rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 1045*w**2 - 21*w. Let j(b) = -9*b. What is y(j(o))?\nAnswer: 84645*o**2 + 189*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5656197.\nAnswer: 3, 659, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5362 (base 8) in base 13?\nAnswer: -1377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*d - 10*d + 16*d + 2)*(-4*d + 2*d - d).\nAnswer: 12*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -1)\/(4 + -5). Suppose -4*x - 2 = -w + 9, t = 2*w - 2*x - 46. Let v = w + -7. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l = -18 - 21. Suppose 4*j = 8*j - 4*m - 268, l*m - 15 = 0. What is the greatest common divisor of j and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 2, m: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9.745717ng?\nAnswer: 0.000000000009745717","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(3 - (6 - 3))*1. Let w(c) be the second derivative of c**3\/6 + c**2 - c. Determine w(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 2413920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*q - 456 = 0. Let b be q\/99 - 2\/(-11). What is the closest to 0 in b, 0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -2\/5, 2\/9, 6, 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 108728 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4636 is divided by 1032.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3495 >= 3494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32117 is divided by 2339?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2 = -8. Solve 6*u - h*u - 20 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/810)\/(6\/(-27)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 4:58 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -23*p + 55. Let m be a(-18). Calculate the greatest common factor of m and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 208\/(-10)*(-9 - 1). Let a(v) = v**3 - 20*v**2 - 41*v - 40. Let r be a(22). Calculate the highest common divisor of t and r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/117, 0, -324\/13 in increasing order.\nAnswer: -324\/13, -2\/117, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 370 divided by 2\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**3 + t**2 + 6*t - 6. Calculate p(5).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**32*w)**(-1\/9) assuming w is positive.\nAnswer: w**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 1\/14, -338\/27?\nAnswer: -338\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1038 - 3112 + 118*s**2 + 1042 + 1034.\nAnswer: 118*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 802\/143 + -80\/13. Put 1, -0.2, t, 2\/7 in descending order.\nAnswer: 1, 2\/7, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 474582 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -28, -51, -94, -163?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1330861451818 and -1.\nAnswer: 1330861451817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 58*t - 171. Let w(h) = -106*h + 341. Calculate -11*r(g) - 6*w(g).\nAnswer: -2*g - 165","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27345275 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ktmm when four letters picked without replacement from {t: 4, d: 1, q: 6, m: 2, k: 1, w: 1}?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -10*i**3 - 8*i**2 - 23*i + 9. What are the prime factors of w(-4)?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 41*g + 156. Determine l(4).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -627142?\nAnswer: -627142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*d - 5*d + 272 = 0 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (16\/6)\/(-8 + (-63228)\/(-7902))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -9*u**2. Let i(c) be the third derivative of -c**5\/15 - 11*c**2. Determine i(m(w)).\nAnswer: -324*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**13*a)\/a)**(-43) assuming a is positive.\nAnswer: a**(-602)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/2 and 13\/109.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/97519 and 53\/42420765?\nAnswer: 42420765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 30*h - 2. Calculate l(-30).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 335 (base 8) in base 5?\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -8. Let r(t) be the third derivative of t**5\/20 - 7*t**4\/24 - 7*t**3\/6 + 3*t**2. Is r(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 14357525.\nAnswer: 4307257.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 383581 divided by 34871.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 2*w**7\/105 - w**3\/2 - w**2 + 4. Let s(i) be the second derivative of b(i). Find the first derivative of s(j) wrt j.\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*o = -10184, -x = o - 0*o - 5078. Suppose 4*l + x = 7*l. Suppose 2*d + 336 = l. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (78*p - 4131 + 4131 - 1135*p)*(2*p**2 + 0*p + 0*p) in the form t*p + z*p**3 + h + q*p**2 and give z.\nAnswer: -2114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44313, -177171, -398605, -708621, -1107225, -1594423, -2170221, -2834625?\nAnswer: -3587641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 11*d - 8. Let v be c(11). Let r be (-4 - v)*(-3 - -8). Suppose 0 = -3*t + t + 40. What is the highest common divisor of r and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 151*h + 7*h**2 + 62 - 69 - 623*h - 9*h**2 - 92*h in the form d*h**2 + k*h + a and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, y: 4, i: 7, z: 2}. What is prob of picking 1 z and 1 y?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/7))**39\/((o\/(o**(-4)\/o)*o*o*o)\/o*(o\/(o*o\/(o\/o**(-1))*o)*o)\/o*o) assuming o is positive.\nAnswer: o**(15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 722865888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126946?\nAnswer: 2, 63473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus -582424?\nAnswer: 582424.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1101*0.0645\nAnswer: -71.0145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*z**3 + 8*z**3 - 2 - 7 + (z - 4*z + 15*z)*(2*z - 18 + 18)*(z + z - 4*z) - 2 + 2*z**3 + 2 in the form x*z + s + q*z**3 + n*z**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 657\/(-146)*4\/2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -117711 - 0.08465996\nAnswer: -117711.08465996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 382 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(5\/10*-2) - -4. Solve v*r + 6 = r, 2*r = -3*w - 13 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 3421 + 3369 = 0 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000748402 to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 15. Let m be 210\/(-12) + n\/(-2). Let j = m - -24. Solve 0*p - 3*p - j = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 16*z**2 - 33*z + 74. Let u = 24671 - 24657. Calculate g(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 8 = -0*m. Suppose -163 = -m*k + 437. What is k rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34948.8l?\nAnswer: 34948800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 6*v - 5. Does 3 divide g(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2 - 38. Solve -j = 5*c - c - g, j + 20 = 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of i**7\/210 - i**5\/40 + i**3 - 7. Let v(a) be the third derivative of z(a). Find the second derivative of v(b) wrt b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0\/(-5) + -1 - -81.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1891845342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -4, -1\/8, -35?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 232 + -229. Suppose 0 = -2*c + q + 7. Solve c*x + 2 - 17 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ynlrwwyylw. What is prob of sequence ryy?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20629 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 4338?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 3*x + x**4)*(-1 + 1 + 1)*((5 + 1 - 5)*(x - 2*x - x) + 17*x + x - 3*x).\nAnswer: 13*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1369, -2490, -3621, -4762, -5913, -7074, -8245?\nAnswer: -9426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-4))\/c)\/c*c*c)**(-11\/7) assuming c is positive.\nAnswer: c**(33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3273155703 to the nearest integer?\nAnswer: 1485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a**2 + 4 - 4 - 9*a**2 to the form l*a**2 + o + b*a and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y. Let w(r) be the second derivative of -r**4\/6 - 159*r**2 - 628*r. What is a(w(d))?\nAnswer: 2*d**2 + 318","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-7128)\/2046)\/54*-2\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/560)\/(-19 + 631\/15 + -23)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2879.84 rounded to the nearest 10?\nAnswer: -2880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44.2 + 40. Let w = p + 4. Which is the third smallest value? (a) w (b) -0.5 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*2*sqrt(343)*-3 - -6*sqrt(343)*-3*-2)**2.\nAnswer: 197565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is -15436390 rounded to the nearest one hundred thousand?\nAnswer: -15400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12 and -4.9.\nAnswer: -16.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 784*d*f**2*s + 22*d*s**3 - 1019*f**2*s**3 + 7*f*s**3 wrt d.\nAnswer: 784*f**2*s + 22*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15273*g**4*z**2 + 82*g**3*z**2 + 5*g**2 + 4787*g*z**2 + 81 wrt g?\nAnswer: -366552*g*z**2 + 492*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.094 - 0.16. Let o = -0.097 - g. What is o rounded to 3 decimal places?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-560)*-24*(-4)\/(-116)*-7.\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4*k - k - 5*k)*(4*k + 5*k - 2*k).\nAnswer: -14*k**2 + 14*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.9733 + -1.1733. Which is the biggest value? (a) 0.7 (b) 7\/4 (c) -21 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -705*c**2. Let x(f) = 207*f. Give x(y(q)).\nAnswer: -145935*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + (0 - (2 - 4)). Suppose 6 = -v + y*a - 1, -3*v = 2*a + 89. Let z = v + 114. Does 29 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 56\/3. Let j = 11 - 15. What is the common denominator of q and 447\/(-168) + j\/(-14)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 321918, 317505, 313092, 308679?\n\"Answer: -4413*i + 326331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51846 and 60487.\nAnswer: 362922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a - 7*a - 395 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50a2d (base 16) to base 9.\nAnswer: 553053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1406095 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -2532\/1777?\nAnswer: -2532\/1777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -8*u - 69, 102*u - 103*u - 6 = -3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8915379091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1275 to two dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/9 (b) -2\/111 (c) -0.06 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e2 - -309d?\nAnswer: 2fbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -532*j + 267*j + 267*j. Let g(w) be the first derivative of -1 - 3\/2*w**2 + 0*w. Calculate g(q(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -1.97. Let r = d - -0.37. Let m be (-3 - -5) + (-16)\/9. Put 5, r, m in ascending order.\nAnswer: m, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-1))\/(3\/(-3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16*315\/2800*(2\/3)\/2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69 - 48. 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: In base 15, what is -1adb70 - 4?\nAnswer: -1adb74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5099*w = 5202*w - 1520 + 1005 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 355 - 5. Calculate the highest common factor of 140 and m.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1399.42 and -0.5?\nAnswer: 1398.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6373062574?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85615 is divided by 642?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - v. Let k(j) = 14*j**2 - 14*j. Calculate -k(q) + 12*x(q).\nAnswer: -2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/64 and -45\/256.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 11:21 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 69e + -66?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/5*v + 2\/5*v**3 - 4\/5 + 4\/5*v**2 = 0. What is v?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-68 - -83 - (44 + -9)) + 0\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249013 is divided by 207.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1943*b**3 + 645*b**3 + 651*b**3 + 645*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 69378 divided by -18?\nAnswer: -11563\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -481 (b) -0.0404 (c) -2 (d) 20\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.875641 kilometers in micrometers?\nAnswer: 5875641000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -7*g + 3*g + 8 - 6. What is h(-7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*v**4 + 10*v**3 + 8*v**2 - 8*v.\nAnswer: -2*v*(v - 2)*(v + 1)*(3*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1489 + -1420 + 0 + -17 - -41.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1256109, 1256118, 1256125, 1256124, 1256109, 1256074, 1256013, 1255920?\nAnswer: 1255789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/2507583 and -97\/2034?\nAnswer: 15045498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 986642a?\nAnswer: 986642b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (4 - 16) + (-1 - -2 - -11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3225 (base 10) to base 15\nAnswer: -e50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -5) + -19 + 6 - -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -103716, -104158, -104590, -105006, -105400, -105766, -106098?\n\"Answer: j**3 - j**2 - 446*j - 103270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 + -21. Suppose 4*i = 7 + x. Suppose 0 = i*w - 28 + 3. Solve 5*k + 25 = 0, -w*a + k - 3 = 17 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 27. Suppose -2*t - 304 = 5*b - 774, -b - 2*t + 86 = 0. Let l = b + -96. Solve -5*u + 5 = r, -c + l = u + 2*r for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 20 - 5. Suppose -4*o + 28 = 3*t, 4*t = 5*t + k*o - 24. What is the second derivative of m**3 + 0*m**3 + 0*m - t*m wrt m?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -926422 (base 12) in base 9?\nAnswer: -4272838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 4*w = 13*s - 2, 5 = -5*s + 5*w. Let u = -2 - 3. Sort 4, s, u in descending order.\nAnswer: s, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 7*l**2 - 12*l - 9. What is the tens digit of d(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 2b?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-122*t**4 - 38*t**4 + 6*t**4)*(-3 + t - 4*t + 2*t).\nAnswer: 154*t**5 + 462*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) -2530\/3 (c) -2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 61164575?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*j + 672 = -19*j. Suppose -30*y = -j*y, -4*s + 4*y - 8 = 0. Sort 4, s, -5, 3 in increasing order.\nAnswer: -5, s, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2 + 3*u + 4. Let i be g(3). Which is the third biggest value? (a) i (b) 0 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-4) + 21\/12. Let l be (h\/6)\/((-7)\/(-63)). Suppose 0 = j + 4*z + 749996, j + l*z - 1500003 = 3*j. Round j to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.094, -3, 0.5, 2, -0.4.\nAnswer: -3, -0.4, -0.094, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 divided by 4.\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 199142 and -741836?\nAnswer: 940978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 764602.9ml?\nAnswer: 764.6029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28487471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24562977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tteyywytttdwewt. Give prob of sequence wed.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3616483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 176525 divided by 23\nAnswer: 7675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/98)\/((-111)\/74*(-2)\/(-21))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 32*c**2 + c - 3. Let s be f(2). Suppose 0 = -4*w + s + 289. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3405, 3414, 3435, 3474, 3537, 3630, 3759, 3930?\nAnswer: 4149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2383505 (base 9) to base 2\nAnswer: -100111100001100001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*((y**(-10)\/y)\/y)\/y)\/(y*y**(8\/9)\/y))**(-30))**(1\/18))**40 assuming y is positive.\nAnswer: y**(23200\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 81*p - 3401. Let t be k(42). Is -19\/341 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 438 = 276*x - 278*x, 5*x - j - 1078 = 0. Calculate the greatest common divisor of x and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*k**3 + 900*k**2 - 780*k + 160 = 0 for k.\nAnswer: -8, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ysjs.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 585 and 690885?\nAnswer: 690885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -3, 2\/9, 4, -24\/5 in decreasing order.\nAnswer: 4, 2\/9, -2\/9, -3, -24\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69 - -82. Find the first derivative of -19*k**2 - 199 + 5*k**2 - m*k**2 + 223 wrt k.\nAnswer: -54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmvvm. Give prob of picking 2 m.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*c - 744 = -210*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**3 + 0*c**3 + 10*c**4)*(2*c + 0*c + 3*c) + (-c**4 + 2*c**4 + c**4)*(-2 + 2 - 24*c) + 0*c**3 + 0*c**3 + 2*c**5.\nAnswer: 4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 3 - 5\/4*c**4 + 0*c - 3\/2*c**2 + 0*c**3. What is the second derivative of o(g) wrt g?\nAnswer: -30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.58 or -90766.7?\nAnswer: -0.58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 284.6 + 0.0396\nAnswer: 284.6396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - n + 5*n = -28, -2*b = 2*n - 22. What is the remainder when (-806)\/(-4) + 3\/6 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1339 - 1003 = 46*m + 1035 - 1123 for m.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -48*t - 31. Suppose 0 = m + 2*v + 10, -4*m - v = 30 - 11. List the prime factors of d(m).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9\/5 (b) -0.5 (c) -7\/72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -0.845?\nAnswer: 0.0845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2051300*d**6 - 2*d**2 - 15023*d - 18 wrt d.\nAnswer: -246156000*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**3 + 27680*h + 9816*h + 34822*h + 47855*h.\nAnswer: -5*h**3 + 120173*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -58464 divided by -72\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90239066 is divided by 97?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c**3 - 172*c**2 - 507*c - 100. Give i(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - (-3632)\/(-208)) + 87\/104?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 245 - -43. Let n = 204 - y. Let z = 84.3 + n. Which is the third biggest value? (a) 2\/19 (b) -6 (c) 0.5 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.8 - -1.1. Let n = m - 0.1. What is the nearest to 0.1 in -3, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*h + i - 0, h + 3*i = 0. Let r(b) = 4*b**2 + 2*b - 2 - 4*b**h - b**2 + 3*b**3. Let s be r(3). Solve s*w + 13 = 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-30)\/(-8)*10\/50. Which is the closest to -2\/5? (a) -2 (b) u (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 + 713*u**2 - 112048*u - 5513664.\nAnswer: -(u - 376)**2*(u + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136869875 to the nearest integer?\nAnswer: 11699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1)*v*v)**(-10\/13)*v**(2\/21)*v**1 assuming v is positive.\nAnswer: v**(-121\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20374934 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 6. Let b be k(8). Let g(f) = -80*f - 92. Let j(x) = -2*x + 35. Let t(m) = g(m) + 3*j(m). What are the prime factors of t(b)?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4 + 6 = 5*k, -4*p = -k - 11. Solve -2*q - 2*j - p + 15 = 0, 15 = 5*q + 2*j for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6 and -0.13578.\nAnswer: 0.081468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -26*s + 10. Does 19 divide g(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) + (sqrt(448) - (sqrt(448) + -1)) + sqrt(448))*-2 + 3*(-2 + sqrt(448)) + -6*(-2 + sqrt(448))*1*-5)**2.\nAnswer: -31552*sqrt(7) + 381392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/2637824 and -41\/30240768.\nAnswer: 846741504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(1\/3)*d)\/d)**(-2\/7)*(d*d\/d**(-3))**(-27) assuming d is positive.\nAnswer: d**(-2843\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5*sqrt(539) + sqrt(110)\/(5*sqrt(10)) - (0 + sqrt(275) + sqrt(275) + 4 + 2)).\nAnswer: 30 + 224*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**3 - 29*x**2 + 4*x + 30. Let p = 105 + -120. Is r(p) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -228841755\/1031 + 221961. Let q = o - 80107\/20620. Let z = 1103\/108 - 88\/9. Calculate the common denominator of q and z.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16722 is divided by 246.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 8) to base 13\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 126d - -11be2?\nAnswer: 12e60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((0 - -1)\/(-4))\/1. Let p = -256274 - -256273.9. What is the closest to f in 0, p, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.01 + 0.0396. Round v to 3 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = -32*m - 23. Solve -5 = -2*o + m*h - 2, -3 = h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/3)*y*y**(-1\/23)*y**14\/y*y*y**(1\/26)\/y assuming y is positive.\nAnswer: y**(23911\/1794)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*r**4 - 72*r - 3*r**4 + 68*r wrt r?\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2961498671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 24 = 21*b - 20*b, -32 = 4*p + 3*b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3728*p**2 - p + 338?\nAnswer: 7456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 250 and 8166890?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2. Let b(j) be the second derivative of 457*j**3\/6 - j**2 - 288*j. Give b(u(x)).\nAnswer: 914*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*y = 4. Suppose 0 = -3*w + 8*w + r - 84, y*r - 66 = -4*w. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 10:26 AM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-one eighths of a century?\nAnswer: 7650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -148*p. Let s(f) = -13*f + 10. Let m(d) = -15*d + 12. Let v(g) = -5*m(g) + 6*s(g). Determine q(v(c)).\nAnswer: 444*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/(-40))\/((-1)\/8). Let z(f) = -3*f**2 - f**2 + 0*f**2 - 7 + 3*f**l + 11*f. Is z(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 6*z - 1. Let k be s(5). Is (-118)\/(-4) - (-2)\/k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -13?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + w - 50 = 0, 45*i - 3*w - 20 = 47*i for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -214*q**2 + 381*q**3 - 657*q**2 + 1 - 1 + 740*q**3 wrt q.\nAnswer: 6726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5143674079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29363498 is divided by 863632?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 71984378?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -14*p + 0 + 0*p**3 - 1\/2*p**2 + 5\/12*p**4. Let s(r) = 11*r**2 - 3. Give -7*a(x) + 3*s(x).\nAnswer: -2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/2*(4 - 5). Solve d*m + 4*v + 6 = 0, 0 = 2*m - 6*m - 3*v + 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 11*k**2 + 7*k - 6. Let o be x(1). Suppose -o*y - 122 = -662. What is y rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*u**6 + 3*u**4 + 19*u**3*y - 2*u**2 + u*y - 3*u wrt u.\nAnswer: 360*u**3 + 72*u + 114*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.5 from -122501235.\nAnswer: -122501231.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l**2 + 68*l - 17. Let x be r(7). What is the highest common divisor of 10 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -106 + 144. Let o = 41 - u. Which is the biggest value? (a) -4 (b) o (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24.956 - 28. Let x = t + 0.039. Let o = x - -3. Round o to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -37*d**2 + 604*d + 603. Determine a(-1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 950 and 200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -20653*l + 5658888. Determine t(274).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, w: 1, r: 3, g: 3, s: 2, q: 2}. Give prob of picking 1 s, 1 r, and 1 g.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -14. Suppose 7*n = -21 - 0. Is (-1047)\/n - j\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 6*m - 51 = 0. Let s(c) = 501 + 0*c + 3*c - 543. What are the prime factors of s(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 73ed7?\nAnswer: -73ed6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111900 = -5*b - 93655. Let p = b - -450757\/11. Let x = p - -133. Is 1 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2) + (-81)\/(-18). Suppose 0 = -h*k + 8 - 28. Put k, -3, 4 in ascending order.\nAnswer: k, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263966 is divided by 542?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1221334423 - -3?\nAnswer: 1221334431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-5))\/(13\/(-1170)). Let g = 454 + n. Let d = 255 + g. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) -156.7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/7)\/(2*2\/1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 - 20 = -4*k + 5*t, -4*k - 48*t - 128 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 457855944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/61 (b) -0.5 (c) -108 (d) -3 (e) -101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 604944332?\nAnswer: 2, 47, 53, 109, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2 + 2 + 2 + 0 - d. Suppose -5*y + 3*v = 52, -3*v + 28 = -y + 2*v. Does 10 divide t(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005332917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 12\/10*(18\/120)\/(3111\/75 - 41)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 169 - -42. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 1)\/(1\/1). Suppose -c = j*c - 9. Solve -r - c = -2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**9\/k)\/k*k)\/k)\/(k**1*k))\/((k\/((k\/(k\/((((k\/(k**(-4)\/k))\/k)\/k*k*k)\/k))*k*k)\/k*k))\/k**5) assuming k is positive.\nAnswer: k**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 445*h = -101*h + 9073428. What is the greatest common factor of h and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 4:54 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 4*q**2 + q + 1. Let p be g(0). What is the biggest value in 20, p, -15?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b. Let u(g) = -183*g - 178688. Determine w(u(v)).\nAnswer: 915*v + 893440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 286 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 15*u**2 + 51*u + 707. Is b(-27) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, x: 3}. Give prob of picking 2 x and 2 s.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -691\/2 + 348. Let d(a) be the first derivative of 6 + a + f*a**2. Let v(m) = m. What is -2*d(c) + 9*v(c)?\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3) - (-3)\/((-36)\/64).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 10:41 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of 0 + 0*m + 0*m**5 + 0*m**3 + 0*m**6 - 1\/6*m**4 - 1\/70*m**7 + 4*m**2. Find the second derivative of u(z) wrt z.\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8712886 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 26*p - 100. Let v be l(4). What is the smallest value in -14, -0.2, v?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95384168.\nAnswer: 2, 11, 1083911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 0 + 0*h**3 + 0*h + 10*h**2 - 1\/4*h**4. Let n(u) = -33*u + 59*u - 31*u. Give n(c(r)).\nAnswer: 30*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 624 and 2897232?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of d**8\/48 - d**6\/60 - d**5\/6 + 21*d**2. Find the third derivative of z(g) wrt g.\nAnswer: 420*g**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22130132300302 + 2?\nAnswer: 22130132300310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 189*h*o**3 + 2*h*o**2 + 2029*h + 3*o**3 - 8*o**2 - 31239 with respect to h.\nAnswer: 189*o**3 + 2*o**2 + 2029","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311*z**2 + 314*z**2 - 625*z**2 - 2*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10322 (base 4) in base 15?\nAnswer: -15e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10998 and 164151.\nAnswer: 15430194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, m: 7, f: 1, h: 1, t: 1}. What is prob of picking 1 t and 1 m?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 o when two letters picked without replacement from {n: 2, u: 1, a: 3, o: 3, j: 1, e: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -11*p**3 - 14*p**2 - 22*p - 20. Let c(r) = -4*r**3 - 5*r**2 - 7*r - 7. Determine -17*c(l) + 6*h(l).\nAnswer: 2*l**3 + l**2 - 13*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 32 = 158. What is the greatest common factor of 350 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26825?\nAnswer: 5, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 8, g: 5}. Give prob of sequence gbg.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-9))\/((-22)\/(-22)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -125.004512 - -125. What is x rounded to four decimal places?\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -262, -765, -1756, -3481, -6186, -10117, -15520, -22641?\n\"Answer: -41*i**3 + 2*i**2 - 222*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q - 13*q**2 + 14*q**2 + q**4 + 2*q**4 - 2*q**4 as r*q**2 + b*q + l*q**3 + h + c*q**4 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 156 and 18?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4249 + -51095\/12. What is the common denominator of x and 121\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2642957703 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15*8 + (-82 - -80)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c + 6*c = 10*c + 192. Solve 4*q - c = -3*f - 0*q, -4*f = 4*q - 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62913483889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -2.98. Let w = 2.02 + i. Let q = w - 1.963. Round q to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 5. Is (1461\/6)\/(5\/g - 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47 - -39. Let f(t) = t**3 + 6*t**2 - 18*t - 8. Let r be f(v). Calculate the remainder when 19 is divided by (r\/(-6))\/((-136)\/510).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a + 6. Let d(y) = 2*y + 1. Let t be 6 + -16 + (6 - 2). Let g(q) = t*d(q) + s(q). Let k(h) = -3*h. Determine g(k(u)).\nAnswer: 33*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + (sqrt(3)*2 + 3)**2 + ((-1 + sqrt(3))*-6)**2).\nAnswer: -240*sqrt(3) + 640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 5*f**2 - 2*f - 3. Let o(r) = r**2 - 6*r + 8. What is the remainder when y(-4) is divided by o(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(4 - 8) - -14. Solve 0 + i = -3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**5\/7 + 142*w**4\/7 - 2208*w**3\/7 + 1536*w**2 + 8192*w\/7 = 0.\nAnswer: -2\/3, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(0 - 0 - 1). Let b be 7\/(-2)*(-8)\/4. Solve v = -b*t + 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 9. Let z be u(5). Let s be 354\/(-10) - z\/(-10). Is (-4)\/14 + (-1095)\/s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**2 + 29*m + 5. Let x(f) = 3*f - 7. Let n be x(-1). Let z be w(n). Let t(a) = 4*a + 2. Let c be t(3). Which is bigger: z or c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 382*b**3\/3 - b**2 + 36*b - 652. What is the second derivative of f(l) wrt l?\nAnswer: 764","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30184 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 6262*b**2 + 24*b - 30. Let r be u(3). What is r rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-66)\/(-77)*743078\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -8*f**2 - 67*f + 3. Let s(a) = -11*a**2 - 100*a + 4. Determine 5*s(t) - 7*v(t).\nAnswer: t**2 - 31*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2 = n + y, n - 2 = 2*y. Let d(v) = 3 - n*v + 6 - v**2 + 11*v + 2*v. Suppose t - 3*t = -16. What is d(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7529.1963 rounded to 0 dps?\nAnswer: 7529","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 120 = -5*y. What is the tens digit of (96\/y)\/((-2)\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 17639*s - 53207. Give v(3).\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - 4*c**2 - c**2)*(5 + 1 - 4) - 4*c**2 + c**2 + 4*c**2 - 2*c**2 - c**2 - c**2.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*h + 43, 8*b - 4 = 7*b + 5*h. Suppose -3*x + 25 - 22 = -4*w, 2*w - 3*x + b = 0. Solve 2*u = -3*o + 8, -3*o - w*u + 0*u = -6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -222 (base 5) in base 7?\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2567 and -90?\nAnswer: 231030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 606169.35 nanoseconds in hours?\nAnswer: 0.000000168380375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56 - 56.0615. What is r rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (124\/(-5022) - (-1236)\/10692)*(14 - 0).\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 109770 divided by 5?\nAnswer: 21954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13367 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/486 and -101\/594.\nAnswer: 5346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -1\/2 (c) 0.11 (d) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) + (1*sqrt(320) - sqrt(320)))*6 - (sqrt(320)*1*6 + sqrt(320)))\/((3*(sqrt(1440) + 1*sqrt(1440) + sqrt(1440)) - sqrt(1440))*3).\nAnswer: -sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4811*h + 16 = -d + 4808*h, 4*h = 2*d - 18 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66565 is divided by 66165?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*d**3*q**2 + 3*d**3 - 132*d*q**4 + 780*d*q - 11 wrt q.\nAnswer: 56*d**3 - 1584*d*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*g = -37*g - 4. Suppose -4*j - g*z - 15 = -43, 3*j - 21 = 2*z. Suppose 8*b = j*b. What is the third biggest value in -0.1, b, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -256255 or -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve 92013 - 49697 = -115*y - 3727*y - 107522 for y.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1\/((t*t**(2\/25)*t)\/t*t)*t*t**(18\/5)*t\/(t**(5\/8)*t))**(-29) assuming t is positive.\nAnswer: t**(-16791\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3312400 - 3314133.683. Let p = -1735 - w. What is p rounded to 1 decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -35 - -11070?\nAnswer: 11036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*a = 18. Suppose 0 = a*d - d - 15. Solve -2*q = 3*q - d*j - 10, -2*q = -j - 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 19*p**2 - 43*p - 24. Let q be b(16). Let k be (-3)\/(-7) + -10 + 1880\/q. Solve -8*a = -0 - k for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 663 in -0.1018, -3, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 653*q**6 - 23*q**5 - 311*q**3 + q**2 + 25*q + 298379 wrt q?\nAnswer: 78360*q**3 - 1380*q**2 - 1866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 divided by -3402?\nAnswer: -71\/3402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/24)\/(-3*35\/252*-4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*n + 18*n - 3441 = 42*n - 991 for n.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-5))\/s**(1\/7))\/(s**9*(s*s*((s\/(s\/s**7))\/s)\/s)\/s)*((s*s**(-1\/5))\/s)**(-8\/7)*s**(-4)*s\/s**5 assuming s is positive.\nAnswer: s**(-942\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -5381*z**3\/6 - 148*z - 4. Let a(d) = -3*d**2. Determine a(l(h)).\nAnswer: -86865483*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 2*k**2 - 6*k - 8. Let o be b(-2). Let j be 2\/(o + (4 - 3)). Find h such that -4\/5 + 4\/5*h**2 - j*h + 2\/5*h**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1017.6 rounded to the nearest ten?\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 125 - 2123\/17. Let j = -2\/195 - -404\/1365. Sort -0.1, k, 2, j in decreasing order.\nAnswer: 2, j, k, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 17 = 3*z, -735*z + 739*z - 19 - 3 = -0*v - 6*v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1712837385 and -0.06797.\nAnswer: -1712837385.06797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -m - 3*k, 5*m - 4*m + 4*k = -2. Let q(a) = a**2 + a + 1. Let r(v) = 3*v**2 - 3*v - 2. Let f(l) = m*q(l) + r(l). Is f(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tktktttkkkttt. Give prob of picking 2 t.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(432) + 4 - (sqrt(432) + 1 + 4).\nAnswer: -48*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -220*y + 3754. Let f be g(17). Solve f*v - 91 = -7 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -84 or -91?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x. Let g(a) be the third derivative of -a**6\/720 - a**4\/6 - 2*a**2. Let s(r) be the second derivative of g(r). What is s(d(f))?\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7092468 = 206*y - 7094322 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.112 + 3.\nAnswer: 4.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + v = -45. Let x = -13 + v. Suppose x*a = -3*h - 19 - 2, 2*a + 35 = -5*h. What is h rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h - 3. Let z be t(6). Suppose -z + 1 = 3*r - 5*j, -j + 6 = 5*r. What are the prime factors of (6\/2 - -2)\/r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**4\/24 + 7*s**2. Let k be o(0). Solve k = 3*a - 2*a + 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1495172 = 11*g + 34*g + 1490672 for g.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.33 - -1.69. Let b = p - 0.02. Let n = b + -7.9988. Round n to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27957171 and 462102.\nAnswer: 55914342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g - 2*g**4 + 7*g**3 + 10*g**3 - 15*g**3 - 2 - g**2 in the form d + n*g**4 + x*g**2 + h*g**3 + m*g and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 9 + -12 - -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*w - 16 = -41*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/21*(6284 - 6245)?\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 144.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-6))\/(17\/(-255)). Suppose n*k = 8*k + 39. What is the common denominator of 68\/3 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*o = 0, -4*z + 35 = 5*o + 18. Suppose 2*t + 572 = j + 5*t, -5*j = z*t - 2812. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -h, -3*h + 4*q + 0*q = 40. Let k = h + 15. Let m(p) = -p**3 + 7*p**2 + 4. Let n be m(k). Solve -n = y - 2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7049846213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 + 83. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 7 + 1 = 0. Let m(k) = k + 2. Let o be m(f). Let s(r) = 8*r**2 + 2*r. Let d(c) = 4*c**2 + c. Let q(x) = 13*d(x) - 6*s(x). Give q(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7379 and 157.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9, 5, 4, 23, -169?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 2*v + 4. Let b = -18 - -17.6. Let y = 84 + -82. Sort y, b, v in decreasing order.\nAnswer: y, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + (3 + sqrt(7) - sqrt(7)))*-1 + sqrt(56)\/(sqrt(72)\/sqrt(9)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -438 greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 6*y - 5. Let l = -0.7 - -0.2. Let k be ((-6)\/(-54))\/(3\/9). Which is the closest to k? (a) -1\/4 (b) l (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r = -16*r + 39. What is the second smallest value in -0.2, r, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -14 + 33*y**2 - y - y**3 - 46*y**2 + 19*y**2. Determine r(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104 + 62 + (14 - (-7 + 0))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.05 and -9439977150274.\nAnswer: -9439977150274.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6625323 - -17?\nAnswer: -6625304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 3*n + 1)*(1 + 0 + 0) + 0 + 2*n + 0)*(-17*n**3 - 18*n**3 + 24*n**3) to the form d*n**2 + c*n**4 + y + q*n + r*n**3 and give c.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88 + 80 + 53383*l**3 - 322 + 70 + 84)*(l - 3*l - l).\nAnswer: -160149*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 46*s + 308. Let d be l(-6). Solve -6*f + d*f = 26 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -6\/121 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o**2 - 2*o - 1. Let p be h(2). Let z = -5 + p. Let l(b) = -b + 10. Let n be l(z). Solve 0 = -n*g - m - 4 + 11, 0 = 2*m + 10 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 4440296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14 + -20)\/(3\/10). Let l be (8\/6)\/(g\/(-15)). What is the biggest value in 0.2, l, 0.068?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2782780 and 9730?\nAnswer: 2782780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -144 - -284. Let p = t + -113. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19327824.\nAnswer: 2, 3, 79, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -15055.4 rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-216)\/(-105) + (-56)\/980. Solve 4*m = 24*t - 20*t, -u*t + m = -2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 take away -1633?\nAnswer: 1632.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 7*j**2 + 5*j + 2. Suppose 6 + 6 = -2*h. Let k be w(h). Let f(t) = -9 - 8*t**2 - 35*t + 16*t + t**3 + 19*t. Calculate f(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 39 = -3*y, 0 = -30382*b + 30386*b + 5*y + 65 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 273 - 87 + 5*g + 15*g + 4*g. Let m be a(-7). Which is smaller: 19 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20137.\nAnswer: 13, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 16 + 2 = -k, 0 = 3*g - 5*k + 18. Solve 14*z + g = -38 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 75 - 200*v - 13\/2*v**2 + 1\/3*v**3. What is the first derivative of r(y) wrt y?\nAnswer: 2*y - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 = -9*t + 43. Suppose -3*h + 5*h = 10. Solve -4 = h*m + t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**2 - f**2 + 4*f**2 + (2 + 4 - 2)*(4*f - f**2 - 4*f) + 2*f**2 + 0*f + 0*f.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/10)\/(-56) - (-3)\/(-119)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*u**4 + 400*u**3 - 930*u**2 + 720*u - 135 = 0. Calculate u.\nAnswer: 3\/11, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b1 - 2?\nAnswer: ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 21 = -0. Solve -3*d - r = -6*d - 3*b, 10 = 4*d + b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**4\/w**19 assuming w is positive.\nAnswer: w**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 13) in base 15?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 0 + 2 - 3 - j. Let a(h) = 2*h + 3. Suppose -8 = -d + 5. Let g = -12 + d. What is g*a(b) + k(b)?\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 935 and 255.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -163*j**2 - j - 4. Let i be r(7). Is i\/(-21) + 2\/14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20203, 81110, 182629, 324760, 507503?\nAnswer: 730858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12868, -26195, -39522, -52849, -66176?\n\"Answer: -13327*m + 459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/9531 and 43\/3177.\nAnswer: 9531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -1652, 3 in decreasing order.\nAnswer: 3, -41, -1652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20138 and 7380.\nAnswer: 74309220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t + 2*t + 3*t)*(-2*t + 1807 + 3*t - 1809 + 23*t**2) in the form g*t + a*t**2 + r*t**3 + c and give r.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (48\/(-15))\/((1 - -4)\/175). Round g to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 1\/3 (c) 4 (d) 0.5 (e) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32839*l + 32823*l = 272 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 22*a + 78. Let q be g(18). Calculate the highest common divisor of 27 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6700130 and 460?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31212330 (base 4) in base 3?\nAnswer: 2211110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 0*r + r)*(r**2 + 0 + 0) + 4*r**3 + 743*r + 0*r**3 - 740*r - 3*r**2.\nAnswer: 5*r**3 - 3*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(30) - -2*sqrt(270))\/(sqrt(60)\/(sqrt(10)*-1)) + (4 + (sqrt(605) + sqrt(605) + 1)**2 - ((sqrt(720) - (sqrt(720) - 6*1*sqrt(720))) + sqrt(720))).\nAnswer: -68*sqrt(5) + 2425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**5 + 15*f**4 - 260*f**3 - 1360*f**2 - 960*f + 2560.\nAnswer: 5*(f - 8)*(f - 1)*(f + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -431\/15? (a) 7 (b) -5 (c) 1\/4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 739*h**2 + 29*h - 394*h**2 - 350*h**2.\nAnswer: -5*h**2 + 29*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -113938.5 + 113938. Let l be (1 - 0)\/(-1 - 9). Which is the nearest to -3? (a) u (b) 2 (c) 1\/3 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 + 145921*d + d**2 - 145921*d - 3*d**2 - 73.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -3374, -11, 13 in descending order.\nAnswer: 13, -3, -11, -3374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.06 - 0.36. Sort c, -14, 2\/25 in increasing order.\nAnswer: -14, c, 2\/25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132030?\nAnswer: 2, 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 7*m = 217. Let v(c) = -m - 3*c - c + 24. Let y be v(-3). Solve -w = -6*w - y for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5899 + 714 = -410*c + 21*c for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3563*j + 1822*j - 3246*j.\nAnswer: -4987*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5372735 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a**3 - a**2. Let s be u(-1). Suppose -b + 55 = 2*c, 0*b + 174 = s*b - 3*c. Does 19 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1208? (a) 3 (b) 2\/9 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 + -22. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1513780470 - 0?\nAnswer: -1513780470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8977*i**4 - i**2*m*w**2 + 48*m*w**2 - 386*w wrt i.\nAnswer: -35908*i**3 - 2*i*m*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -232945 to the nearest 10000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 22. Let f = 9 - g. Let r be (-27)\/35 - (-3)\/15. Which is the second smallest value? (a) r (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 0*b = -3*b - 12, 0 = -3*j + 5*b + 16. What is the third derivative of -2 + w**3 - 7*w**j + 2 + 8*w**2 wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 14. Let j = -3 + l. Suppose -w - 7 = -3*a, 2*a = 5*a - j*w - 11. Solve 0*f + a*f = 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4921436 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 14*f**4\/3 + 183572*f**3\/3 + 591376832*f**2\/3 - 22793909056*f - 6528635904 = 0.\nAnswer: -6612, -2\/7, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/4))**37*(v*v*v**13)\/v**(-10) assuming v is positive.\nAnswer: v**(137\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -27*i + 4. Let o be c(0). Solve q - 2*w - 10 = 0, 9*w - o*w = -15 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.31 - -15. Let p = x + 0.18. What is p rounded to two decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3968*a**3*h**3 + 4*a**3*h**2 + 4*a**2 - 14*a*h**3 + 45*h**3 wrt a?\nAnswer: -23808*h**3 + 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, a: 5, i: 3, y: 2, w: 8}. What is prob of picking 1 w, 1 a, and 2 y?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/8 of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/4)*o)**(-11)*o**4\/((o\/(o\/o**(-2\/7)))\/o) assuming o is positive.\nAnswer: o**(-237\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, u: 4, m: 1, f: 3}. What is prob of sequence fuuu?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*t + 35 = 0, -3*t - 15 = -4*x + 8. Let p(c) = -5*c**2 - 3*c**2 + c**2 - 2*c**x. Let z(o) = 2*o. Give z(p(b)).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 1\/2, -70 in descending order.\nAnswer: 13, 1\/2, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 3. Suppose -2*l + x*l = 12. Calculate the greatest common divisor of 12 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 28.34. Let t = o + -0.16. Let s = -0.98 - -1. What is the smallest value in s, t, -2\/17?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 2*s + 6, 2*s - 3*y + 14 = s. Let o = 4 + s. Let l = 217 + -220. Is l at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-5)\/(-1 + 2). Suppose -2*y = s*a + y - 2, 0 = 2*a + 2*y. Let k = 8 - a. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 121351\/16 + -7580. Find the common denominator of i and (5\/4)\/(8\/28).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (202 + 0)*(131 - 77)?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**3 - 5 + 5)*(-2 + 4 - 1)*(1279543*t + 16221*t**2 - 1279543*t).\nAnswer: 32442*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -77 + 77.08. Let g = -7.08 + k. What is the nearest to 0.1 in -2, -1, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1728838?\nAnswer: 2, 864419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/((-9)\/(-3))*-1. Find the third derivative of -4*b**o + 5 - 2*b**5 + 11 - 16 wrt b.\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 3:12 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from {d: 8, x: 3}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -65*l - 59*l + 18 + 120*l. Let z(t) = 5*t - 20. Let p(m) = 4*x(m) + 3*z(m). Suppose -34 = -4*a - 2*b, 0 = -5*a + 3*b + 2*b + 50. Determine p(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1))\/((-13)\/13)*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -261, -235, -205, -171, -133?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 3*r + 1. Determine d(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11268 and 318?\nAnswer: 597204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-112)\/42)\/((-416)\/(-5772))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - (-12)\/4)\/(-1). Let c = a + -7. Is -14 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1933187044.\nAnswer: 2, 293, 659, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmm when four letters picked without replacement from mmmmmmmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 15*w - 22. Let k(y) = y**2 + y - 5. Calculate the remainder when s(17) is divided by k(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 13232*j**2 - 26470*j**2 + 13235*j**2. Let g(l) = l + 152. Determine g(h(a)).\nAnswer: -3*a**2 + 152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -6622 not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/16)*q*q\/q**(-2\/43))**1)**(-13\/4) assuming q is positive.\nAnswer: q**(-18863\/2752)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 13. Suppose 16 = l - 4*f, 5*l + f - c*f = 110. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -9*p**2 - 90*p + 6. Let h(s) = 7*s**2 + 75*s - 5. Let c(a) = -6*h(a) - 5*v(a). Let m(b) = -341*b - 3. Determine m(c(x)).\nAnswer: -1023*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3*sqrt(80) - (sqrt(4455)*-2 - sqrt(4455))\/sqrt(11).\nAnswer: -5 + 39*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2882 - 0.3882. Put 3, 10\/9, n in decreasing order.\nAnswer: 3, 10\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 204036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**4\/5 + 7*n**3\/5 + 98*n**2\/5 + 24*n\/5.\nAnswer: -n*(n - 6)*(n + 4)*(4*n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2311022302 + 33322?\nAnswer: -2310322320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2103243 + -2?\nAnswer: 2103241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -483 - -486. Solve -o + 3 = -2*w, y*o + 1 = w - 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47111619*m**3*t + 2*m**3 + 3*m**2 + 16*t + 838932 wrt m.\nAnswer: -282669714*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -247\nAnswer: -1\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 11*x - 4 - 3 + (-1 - 4 + 3)*(x - 6*x + 7*x))*(0*x**2 - x**2 + 0*x**2).\nAnswer: 15*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31 * 69426.\nAnswer: -2152206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 252.7114 centimeters in millimeters?\nAnswer: 2527.114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 9:00 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-1 + 6 - (-5 - -6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 6*l + 5. Let v be c(-4). Let w = -10 - v. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3712999 to the nearest integer?\nAnswer: 1927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, 76, 79, 84, 91, 100, 111?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -7*n**2 - 20*n + 20*n. Let l(b) = 2*b - 3*b**2 + 5*b**2 - 2*b. Determine l(y(r)).\nAnswer: 98*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 855430.5cm to nanometers.\nAnswer: 8554305000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 1422732.\nAnswer: 1422729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 2*y + 16. Suppose -4*p + 0*m - 5*m + 30 = 0, 0 = -2*m + 4. Calculate the least common multiple of 5 and a(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 + 1362*i - 8117. What is j(6)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 7, -20\/3, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q. Let y(v) = -v + 3885 - 3885. Determine y(o(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.38698cm in millimeters?\nAnswer: 453.8698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 217, -220461, -2 in decreasing order.\nAnswer: 217, -2, -220461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 61, 32, -33, -134, -271?\nAnswer: -444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 117 + -156.4. Let p = 47.08 + a. Round p to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6911757 is divided by 27758.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 13040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + -2 + 5)*6.\nAnswer: 12*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14\/1 - 994\/71)\/(-2). Factor 0 - 30\/7*j**4 + z*j + 72\/7*j**3 - 24\/7*j**2.\nAnswer: -6*j**2*(j - 2)*(5*j - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y**2 + 3*y + 2. Let r(k) = k**2 - 10*k + 32. Let f(q) = -2*q**2 + 5*q - 13. Let g(a) = 7*f(a) + 3*r(a). Determine -2*g(p) + 5*w(p).\nAnswer: -3*p**2 + 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*i**2 - 133372846*i - 38106528.\nAnswer: (i - 19053264)*(7*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (65 - -9774) + (4\/(-4) - -12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*g**2 - 58 - 36*g - 45 + 155 - 49 as o*g**2 + w*g + y and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(190))\/sqrt(5))\/(sqrt(2)*-2*-2)*4*3.\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101313 (base 4) to base 11.\nAnswer: 3a33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/(-4)*24\/18. Let x = -9 - n. Sort 2, -4, x in decreasing order.\nAnswer: 2, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1316384 (base 9) to base 8.\nAnswer: -2575742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*n + 17 - 4, 2*r = -5*n. Let t(f) = 4*f - 3*f**2 - 5*f - 6*f + 5 + n*f**2. What are the prime factors of t(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -32. Let h = -28 + f. Let k = h - -24. Let p(m) = m**2 - 1. Calculate p(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 12:30 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**1*h*h**(3\/4) assuming h is positive.\nAnswer: h**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -873 - -873. Let h(l) be the second derivative of 8*l + 0*l**3 + q*l**5 + 0*l**4 + 0 + 1\/15*l**6 - 5\/2*l**2. What is the derivative of h(s) wrt s?\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10614067247 - -108390854596157\/10212. Let p = q + 1\/2553. Find the common denominator of 1\/4*(-36)\/22 and p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.09 from 2190440.6.\nAnswer: 2190440.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/15 and -49\/24998934?\nAnswer: 124994670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 39453227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 18495.6.\nAnswer: -18495.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(2 + -2 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1647619937?\nAnswer: 5639, 292183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.6 and 2.09?\nAnswer: 13.794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 213790961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -0.6603441?\nAnswer: 1.9810323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -15*z - 10*z**2 - 19*z**2 - 13 - 24*z**2 + 38*z**2 + z**3. Give k(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 19 - 1. Suppose -3*w = -z + 45, 2*z - w - 35 = z. Let m be (24\/z)\/((-3)\/15). Put m, x, -1 in ascending order.\nAnswer: x, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36813215477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -35.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -16. Suppose 0 = r + r - 38. What is the remainder when r is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5797340 to the nearest integer?\nAnswer: 2408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**4 - o + 6*o - 5*o + 6 - 2*o**3 as c*o + a + s*o**4 + x*o**2 + r*o**3 and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9606248ml in litres?\nAnswer: 0.0009606248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/5*10\/(-8). Let y(c) = c**3 - 3*c**2 + c - 3. Let h be y(3). Suppose -v - v = h. Which is greater: o or v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 99 - 95. Let u be 12\/(-8)*20\/(-6). Suppose u*j - 7*j = 0. Solve j = s - y*s - 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 38*i + 27*i - 660 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -3. Solve 0*o + 2*o = k for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -10. Let v = -413\/5 - -83. Let h(u) = u**2 + 2*u. Let g be h(-2). Which is the nearest to g? (a) v (b) 0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 5:35 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9282 is divided by 211.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.919363948 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2230 by -8.\nAnswer: 1115\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 36*v**2 - 301*v + 6. Let l be h(-43). Let a(s) = -s**3 + 4*s**2 + s - 2. Let w be a(4). Solve -p = 2*q - l, q + 21 = w*q - 4*p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 691408 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -427466 (base 11) to base 10\nAnswer: -683359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-180)\/2610 - 603\/87) + 28\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -861*p + 14. What is the tens digit of u(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3*sqrt(1008))**2.\nAnswer: 45360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -76*u**2 - 378*u + 2. Let t be n(-5). Is -29 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 16 = -4*v, 0*v = -4*v - 16. Solve -c = -l*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b**3 + 0*b + 0*b)*(0 - 1 + 2) + 4*b**3 + 3*b**3 + 4*b**3 to a*b**3 + i + f*b + v*b**2 and give a.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2268 divided by 81.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15792665\/162 - -97486. Let r = -1\/324 - a. Calculate the common denominator of r and (1\/2)\/((-15)\/(-231)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xob when three letters picked without replacement from {v: 5, o: 6, b: 1, h: 2, x: 1, d: 1}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5607\/30 - (-30)\/300. Calculate the greatest common divisor of g and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -21*i**3 - 3*i - 1596. What is p(0)?\nAnswer: -1596","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 390*a**3. Let o be q(1). Let s be (3\/(-2))\/1*(-364)\/39. Suppose -9*w - o = -s*w. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**2\/2 + 32*n. Suppose 18*g = -39 + 3. Let u(y) = -y + 9. Let o = 48 - 30. What is g*u(b) + o*v(b)?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -106 (c) -0.2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1882, 1858, 1848, 1858, 1894?\n\"Answer: j**3 + j**2 - 34*j + 1914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -1\/6, -2, 1, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 20 = 593*v - 598*v, -4*l + 28*v - 40 = 0 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 59277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 8 = -2*j - 3*y, 2*y = 4*j - 4. Suppose j*r + 12 = 4*r. Solve a = r*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 314.017*-0.4.\nAnswer: -125.6068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12, 285\/127, 1?\nAnswer: 285\/127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*3\/12*6. Let p(o) be the second derivative of -o**5\/20 - o**4\/12 + 4*o**3\/3 + 9*o**2\/2 + 23*o. Let y be p(-3). Solve y = j*t - 12 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*m**2 + 39*m**2 + 37*m**2 - 60*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17467771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*c - 12. Sort -3, 3, c.\nAnswer: -3, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-10) - 33\/(-15). Let t(i) = 0*i**l - 3*i - 5 - i - i**2. Let y be t(-4). Which is the closest to -0.1? (a) -3 (b) y (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 8180 = -8195 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000000 - -101110000100110?\nAnswer: 101110010100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 3*x + 1. Let u be a(5). Let f = u + 11. Factor 2\/3 - 1\/3*q**f + 1\/3*q.\nAnswer: -(q - 2)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -64948 and -3346805.\nAnswer: -3411753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8865 + -7?\nAnswer: 885a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6884.843t in kilograms?\nAnswer: 6884843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 1 + (26 - (19 - 0)) - (-2 - -7).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/357906 and -4?\nAnswer: 357906","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -21803*w - 79. Let i be h(7). Round i to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 63*x - 174*x + 333 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-16))\/(27\/(-36)). What is the closest to q in 1\/47, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -5*u + 108, -9*u + 15 = 2*c - 108. Solve -c*x = -59*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4265 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 3. Suppose -2 = -3*d - 5*k + 63, 0 = w*d + 3*k - 103. Solve 2*f - 6*f = -d for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 317378*m**2*s**2 + 5326024*m**2*s - 2*m*s**3 + s**3 + 4*s**2 + 2*s wrt s.\nAnswer: 634756*m**2 - 12*m*s + 6*s + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 7*k**3 + 7*k**2 + 2*k + 4. Let l(d) = 6*d**3 + 7*d**2 + 3*d + 6. Calculate -4*l(m) + 5*u(m).\nAnswer: 11*m**3 + 7*m**2 - 2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 1:09 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 121*w**2 + 100*w + 79. Give q(-1).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3975 divide 805775208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 113 - 113. Let x(s) = 2*s**3 - 2*s**2 - s + 229. List the prime factors of x(a).\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 3 = -2*y - 4*s - 10 - 22, -5*y + 2 = -15*s - 43 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16*v**4 + 304*v**3 - 6*v**2 + 2*v - 55380 wrt v?\nAnswer: -64*v**3 + 912*v**2 - 12*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/743, -2\/15, 4, 2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u. Let v(n) = -2*n - 1. Let x(t) = -3*c(t) - v(t). Let l(g) = -3*g + 4. Determine -l(k) + 5*x(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 164767, 15, 34 in descending order.\nAnswer: 164767, 34, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**4\/2 - 310*s**3 + 39885*s**2\/2 - 407030*s - 137904 = 0.\nAnswer: -1\/3, 51, 52, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-253)\/46)\/((-2)\/28). Is (2\/(-6))\/(f\/(-125664)) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d**5 - 18*d**4 - 1784*d**3 - 199975*d**2 + d.\nAnswer: 180*d**2 - 432*d - 10704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 138551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -948, -1443, -1666, -1617?\nAnswer: -1296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**2. Let g(f) = -5*f. Let u(t) = -6*t. Suppose 3*n + 5 = b, -3*b + 3*n + 5 = -10. Let a(x) = b*g(x) - 4*u(x). Determine a(l(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o + 3. Let s be (-1)\/(-3) + 7\/(-3). Let f = 7 + -40. Let m be f\/15 - s\/10. Determine q(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-21)\/(-26))\/(-7))\/(15\/20)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-84)\/(-35))\/((-4)\/(-30)). Calculate the remainder when (-9)\/a + (-350)\/(-4) is divided by (0 - 6) + 72\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w - 1. Let l be f(2). Suppose -32 = 5*o - 82. Let n be 25\/o*8\/10. Calculate the greatest common factor of l and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*j**3 + 443619*j**2 + 506985*j + 63373.\nAnswer: (j + 1)*(j + 63373)*(7*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -21, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 33 (b) 11 (c) -1 (d) 6 (e) -54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**3 - 5*w**3 + 3*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.352? (a) 5 (b) 0.1 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 6.4. Let d = n - -0.7. Which is the nearest to 1? (a) 3\/7 (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10926.3846 + 241.9254. Let y = -11496 + f. Let o = -329 - y. What is o rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/696 and -151\/12168.\nAnswer: 352872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + u = -4*h - 25, -3*u + 15 = -3*h. Suppose 3*l - 1 = 5. Suppose 0 = y - 3, 0*f + 11 = 5*f + l*y. Sort f, h, -1 in ascending order.\nAnswer: h, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-16)\/(-196))\/(-5 - -68 - -3). Let v = h - -179\/539. What is the second biggest value in -2, 48, 1\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n*n**1*n)**(-5\/11)\/(n**0\/n**(-6)))\/(n*n*n**4*n**(-2)*(n*(n*n*n**(-2\/7))\/n)\/((n**(2\/5)\/n)\/n)) assuming n is positive.\nAnswer: n**(-6001\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3820\/7517 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196822?\nAnswer: 2, 98411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n + 31. Let m be r(15). Calculate the highest common divisor of m and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-6))\/((-2)\/(-6)). Let r(n) = -h*n - 3*n + 4*n. Suppose 4*y = -5*m + 20, 216*y + 72 = -3*m + 222*y. Calculate r(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of h**7\/2520 - h**6\/180 + h**5\/120 + h**4\/12 + 3*h. Let w(l) be the third derivative of d(l). Calculate w(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -34*y**2 + 147 + 77*y + 3*y**2 + 5*y**2 - 6*y**2. Differentiate f(o) wrt o.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1703 - -39178\/23. Let v = 559\/276 + r. Calculate the common denominator of v and -89\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**6\/120 - 3*p**4\/4 + 9*p. Let x(l) be the third derivative of o(l). Let h(a) = 2*a. What is h(x(i))?\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*c + 7398 = -45*c + 8698 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -2.4235 and -0.176 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 139 and -15.01?\nAnswer: -2086.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00048112 to 7 decimal places.\nAnswer: 0.0004811","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 28b5760?\nAnswer: 28b5764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 284*n - 279*n - 2*a, 0 = 3*n + 4*a - 1 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 75\/2 of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9631157*f**3 + 920*f - 165725 wrt f?\nAnswer: 57786942*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32.89 + 32. Let d = 0.11 - c. Are d and -2\/15 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**4 - 12*i**4 - 5*i**3 + 3*i**3 + (-2 + 4 - 3)*(-2*i**4 + i - i) - i + i**4 + i.\nAnswer: -9*i**4 - 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 9 = -p + 5*j, j = 2*p - 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 473\nAnswer: 2365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1*2)\/((-19)\/((-1368)\/(-16))). Let i(b) = -b**2 + 10*b + 8. Determine i(j).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -22. Suppose 504 = a*o - 2*w, -389 = -3*o + 3*w - 7*w. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3746 times -6448?\nAnswer: 24154208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**6 + 405*b**4 + 108*b**2 + 2?\nAnswer: -120*b**3 + 9720*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67267383 to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 128673*b**5*s**2 + 6*b**5 + 10*b**2*s**2 + 4*b**2 - b*s**2 + 181*b*s + 5*s wrt b.\nAnswer: 7720380*b**2*s**2 + 360*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -7110804?\nAnswer: -7110804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4836245701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*(-1*sqrt(2736) + -4)*6)*-4.\nAnswer: -576*sqrt(19) - 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 53918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 69 = -74. Is 2\/2679 greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 9, -3, -2\/7.\nAnswer: -3, -2\/7, -2\/9, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/46769965 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -27*h**2 + 276*h - 56. Let w be v(10). Solve 3*k + 2*n = w*n + 4, 0 = -3*k + 4*n + 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 8:40 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 12*y**2 + 119*y - 91. Let t be r(-5). Sort -4, t, -3, 0.\nAnswer: -4, -3, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21211 (base 4) in base 14?\nAnswer: 31b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (10 - 12)) + -3 + 5 - 9?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence luq when three letters picked without replacement from qqlqxqluxuuqlxualuqr.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2835 and 594.\nAnswer: 62370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*((j*j*j*j**4*j)\/j)\/j)\/j*j*j**(-6)*j)\/(j\/((j*(j\/j**(-6))\/j*j)\/j*j)*j\/j**6) assuming j is positive.\nAnswer: j**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 + 10890*h + 140725.\nAnswer: 5*(h + 13)*(h + 2165)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*1*sqrt(324) + 6*sqrt(324)*-1)\/((sqrt(144) + (sqrt(144) - (-1*sqrt(144) + sqrt(144))))\/sqrt(12)*-2))**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 2*i + 45 - 50, 2*s - 3*i + 20 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22333 is divided by 49?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126\/(-14) - (-17 - (33 - -6)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-6) - (0 - -1). Let r = -0.04 - -0.36. Let n = r + -0.31. What is the nearest to m in n, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (8307\/(-1053))\/((-1)\/(-3)) and (0 + 1)*118\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22\/25, -5, 2\/7, 149, -4, 3 in ascending order.\nAnswer: -5, -4, -22\/25, 2\/7, 3, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 144146.63 to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*k)*(-363 - 703 + 4313).\nAnswer: 6494*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36.7 + 37. What is the biggest value in g, 23, -2?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - -0.5. Let b be -1 - (-2 - 2) - -2. Suppose -7*m + 2*m + 2*g = -5, m + b*g = -26. What is the biggest value in 5, m, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l + 67. Let c be s(11). Let j = c - 19. What is the lowest common multiple of j and 18?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12577243.\nAnswer: 7, 73, 151, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26420?\nAnswer: 2, 5, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 142401.8 rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1415237 (base 8) in base 13?\nAnswer: 110108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p - 1006 + 2013 - 1007 + 2*p. Let g(r) be the third derivative of -7*r**4\/8 - r**3\/6 - 61*r**2. Calculate i(g(l)).\nAnswer: -21*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-31471)\/(-44) + (-3)\/12. Suppose 404 = a - 5*g, -t = -5*a - 5*g + 1455. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13205?\nAnswer: 5, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1112)\/14 + 20\/(-35). Does 4 divide (-3)\/7 + 3\/(-21)*f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*k**3*m*y + 24*k**3*y - 2*k**2*y**3 - k*m*y**3 + 2*y**2 wrt m.\nAnswer: -6*k**3*y - k*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 210 = -3*c. Let k = c + -36. Let f(g) = -g**3 - 5*g**2 + g + 10. Calculate the lowest common multiple of f(k) and 4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y*y**14)\/y)*(y*y*y\/y**(-2\/33))\/y*(y**(-10))**(2\/67))**(-1\/10) assuming y is positive.\nAnswer: y**(24847\/22110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 11354.859 to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-6 - -4) - (7 + -12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -26127*q**2 - 4*q - 2. Let d(s) = -1123460*s**2 - 174*s - 87. Determine 2*d(j) - 87*n(j).\nAnswer: 26129*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5756441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63\/(-9) + 9 - 19*-3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*v - 1916*v - 1173*v as b*v + u and give b.\nAnswer: -3132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -y**2\/2 + 7*y - 4. Let z be g(4). Determine w, given that -1\/3*w**4 + w**2 + 1\/3*w**z + 2\/3 - 5\/3*w = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6389.094 decades to millennia.\nAnswer: 63.89094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -874 < -38006?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 1 + k**2 + 1. Let x(q) = 52 - 17 - 49*q**2 + 9*q**2. Let f(t) = -7*t**2 + 6. Let a(c) = 35*f(c) - 6*x(c). Calculate r(a(u)).\nAnswer: 50*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*x - 685 - 812 - 803. Solve -2*h + x = 220 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 255*x - 256*x - 4, -5*m - 3*x = 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -1. Let i = t + -8. What is the second smallest value in -4, i, 1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 7*s - 2. Let y be m(-10). Let h(k) = -k**3 + 27*k**2 + 27*k + 29. Let a be h(y). Solve 0 = -r - a + 5 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = 118 + 190. Let i = -26 + u. Suppose s = 5*r - 21, -2*r + 18 = -i*s + 2*r. Which is the nearest to 0? (a) 2\/7 (b) -2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - p**3 + 43*p**4 + 4*p - 51*p**4 - 2*p as y*p + w*p**3 + i*p**2 + k + z*p**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 97402289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2010 (base 5) to base 13.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l + 43 - 27 = -20. Sort 0.3, -4, 34, 0.4, l in increasing order.\nAnswer: -4, l, 0.3, 0.4, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 0.243285.\nAnswer: -0.243285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/((g*((g**(-2)*g)\/g)\/g)\/g*g))**(-25)*(g\/(g\/((g*g**(-1\/2)\/g*g*g)\/g)))**19)\/(g**(3\/8)\/(g*g*g**(-11)))**6 assuming g is positive.\nAnswer: g**(-587\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -226435*w. Let o(f) = 2*f**2. Give g(o(n)).\nAnswer: -452870*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 5 = 3*x, -8*w - 344*x + 2 = -342*x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 4*s + 0*s)*(-7 - 4*s**3 + 7 + (5*s + 3*s - 6*s)*(s**2 - 2*s**2 + 3*s**2) + 2*s**3 - 3*s**3 - s**3).\nAnswer: 12*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -61. Calculate the greatest common divisor of 13 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 0 + 6\/(-3). Let y be (3\/(-6))\/(u\/80). Suppose -4*c - y = 0, 2*i + i + 5*c = 248. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a day in minutes?\nAnswer: 7560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 31*h**2 + h + 1. Suppose -5*r - 25 = 5*y + 10, 0 = 2*y - 4. Let u = 20 + r. Calculate the remainder when v(-1) is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5054?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -308 + 469. What are the prime factors of i?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**2 + 48*i - 230. Let t be u(9). Calculate the highest common divisor of t and 195.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ulul when four letters picked without replacement from {l: 5, w: 1, u: 12}.\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r - 1. Let i be m(-2). Sort 6, -0.02, i in descending order.\nAnswer: 6, -0.02, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1369*i - 1262*i - 340*i + 458*i as q + u*i and give u.\nAnswer: -2513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2927857?\nAnswer: 31, 94447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m + 0*m = 9*m - 198 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1919 + 1910.084. Let p = -11.5 + 2.5. Let n = j - p. Round n to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i + 276483 = 276323 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/35)\/((8\/(4 + -44))\/(-4))\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - sqrt(117)*2*4)\/(sqrt(252)\/sqrt(7)) + -4)**2 + 0.\nAnswer: 28*sqrt(13) + 701\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvvv when four letters picked without replacement from {p: 6, v: 5, b: 2}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2006394 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 27*w**2 + 54*w**2 + 13 - 31*w**2.\nAnswer: -4*w**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 472 and 7484386.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 3*b**2 - 2*b - 5. Let g(d) = d**3 + 4*d**2 - 2*d - 5. Let n(c) = -2*f(c) + 3*g(c). What is the tens digit of n(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v + 15 = -3*u + 10*v, 15 = -3*u + 2*v. Sort 0, u, -4, 8 in increasing order.\nAnswer: u, -4, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -126 from 56791.\nAnswer: 56917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-46)\/(-8) + 2\/8. Let j(t) = t + 3. What is the units digit of j(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, n: 7, m: 1, q: 3, y: 1}. Give prob of picking 1 c and 1 n.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24 * -0.644.\nAnswer: 15.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21.1 - 21. Sort -2\/5, 4, h.\nAnswer: -2\/5, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 24*n**2 - 125*n - 1155. Calculate z(-9).\nAnswer: 1914","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 383725*n*o*p + 5*n*p*y**2 - 53*n*p*y + 2*n*y + n - 2*o*p*y**2 + 2*p*y**2 wrt o?\nAnswer: 383725*n*p - 2*p*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 293881.9 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*l + 302*l - 7*l**3 + 124*l + 301*l + 8*l**3 - 7.\nAnswer: l**3 + 781*l - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 24*j - 96*j + 13*j + 18*j. Let q(d) be the third derivative of -d**4\/12 + d**2. What is q(u(x))?\nAnswer: 82*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 4*t - 568, -150 = 2*k + 2*t - 748. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-70)\/(-15)*63\/(-14). Which is smaller: z or -439\/21?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 6*f + 12. Suppose -586 = -f*u + 2386. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -21 + 11 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*n = -3 - 2, 5*o - 6 = 4*n. Suppose 0 = o*g + h - 2024, -5*g - 2*h = -5*h - 5060. List the prime factors of g.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.15, -22884, -10\/13?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -102255\nAnswer: 1\/20451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8908314?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, i: 1, h: 2, j: 4, f: 1, g: 2}. Give prob of sequence jfi.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 876?\nAnswer: 8760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2440 + 2525. Solve 31*d + m = -70 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 1. Suppose 0*n + n + 11 = 0. Let u = -2 - n. What is the highest common divisor of z and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22478517, -22478519, -22478521, -22478523?\nAnswer: -22478525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = o - 114. Let m = 179 - o. List the prime factors of m.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18 + 20193?\nAnswer: 2017b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2 + 6*f + 1. Let b be z(5). Let l = 7 + b. Let x(u) = -u. List the prime factors of x(l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7*n + 4. Let v(u) = -16914*u. What is l(v(r))?\nAnswer: -118398*r + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 1)*(-4*l - 4*l**4 + 5*l - 7*l) to the form x*l**4 + k*l**3 + y*l**2 + q*l + n and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1477 = 9*p - 224. Suppose -3*m - p = -4*w, 2*w + 5*m - 120 = -w. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52410274 and 9982?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 59145 and 307554?\nAnswer: 1537770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 - 61. Let g = -24.84 - q. Let u = -6 - g. What is u rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*x - 78 = 0, 5*x - 33 = -3*h + 133. Suppose -5*p = -h - 338. Suppose 0 = 2*w + 3*w - p. What is the remainder when 30 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a factor of 24457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 (base 12) in base 7?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.377253 + -27.2\nAnswer: -27.577253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 0) + -3 - 23. Let m = 35 + n. Suppose 0 = 2*u - 31 - m. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 0.018, 1\/3, -1, 0.5 in increasing order.\nAnswer: -1, 0.018, 1\/3, 2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5314875*a*u**2 - 9*a*u - 33994*a + 1 wrt u.\nAnswer: -10629750*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/15? (a) -9\/2 (b) 0.3 (c) 15\/7 (d) -2\/3 (e) -138 (f) -1\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 1144636 = -5*c + 1257834, -5*t + c = -2402458. Let w = 2319508 + t. What is w rounded to the nearest 100000?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-84))\/(((-144)\/42)\/4).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, q: 16}. Give prob of sequence qqe.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 82655647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*l**3*o - 11*l**3*t*z - 17*l*o*t - 12*l*o*z + 13*o*t*z - 7*z wrt t.\nAnswer: -11*l**3*z - 17*l*o + 13*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/2)\/(5\/(-70)*-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**4\/(d*d**(-2\/7)*d))**11 assuming d is positive.\nAnswer: d**(176\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2374*b*d - 2*d - 934 wrt b?\nAnswer: 2374*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 8\/5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -109 + 111. Suppose -5*z = -4*u - d - 4, 10 = z - 3*u. What is the biggest value in -1, z, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**3 + 2*u**2 + 4 + 2*u**2 - 3*u**2 - 6 to the form o*u**2 + m*u + i*u**3 + l and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k - 13. Let i(y) = 3*y - 9. Let n be 5 - ((-9)\/3 + 0). Let o be n\/1 - (2 + 1). Suppose -2*u + o = -5. What is u*w(x) - 7*i(x)?\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -17835638 times 1\nAnswer: -17835638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*u = -133*u + 75766. What is the remainder when u is divided by 86?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 267 - 131. Suppose 112 = -4*j + 2*q - 8, 3*j + 5*q = -90. Let p = j + i. What are the prime factors of p?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9 + 3\/9*0. Suppose -10365 = -4*r + i*r. Let p = -3103 - r. What is p rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 164287*r + 1149956. Calculate d(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/9 + 196\/21. Suppose 5*d + 295 - 105 = 0. Let v = d - -38. Solve g = -t - 2*w, 4*t + 5*w = -v*t - 30 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 + 3*s - 18. What is k(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3763*i*w**3*y + 6*i*w**3 + 9*i*w**2*y - 3*i*w**2 + i*y + 223*i - 18*w**3*y + 3*w**3 + w**2*y + w**2 wrt w.\nAnswer: -22578*i*y + 36*i - 108*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 16 (b) -4\/7 (c) 0.5 (d) 4 (e) -0.21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/60)\/(13*(-25)\/86125).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.24 + 0.3. Let z = -0.24 - m. Let y = 49 + -49.5. What is the second biggest value in z, y, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/540 and -47\/216647352?\nAnswer: 1083236760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**2 + 6. Let r(o) = 4*o**2 - 7. Let c(b) = 3*m(b) + 2*r(b). Solve c(a) = 0 for a.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1929*u - 31681 + 2746 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 9) to base 6\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66602.21 meters to centimeters.\nAnswer: 6660221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 594903.9127 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 18\/7*7\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 40*y**2 - 470*y - 989. Determine q(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 176136 and 169576?\nAnswer: 91062312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(84) + sqrt(84) - (sqrt(84) + (2*sqrt(84)*-6 - sqrt(84))))\/(sqrt(588) - sqrt(588)*2*6) + 3 + -5.\nAnswer: -2 - 15*sqrt(7)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -160*z + 41*z + 336175. Does 96 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 437, 872, 1309, 1748, 2189, 2632, 3077?\n\"Answer: t**2 + 432*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/38 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2561, 5121, 7681, 10241?\n\"Answer: 2560*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 - 55*t + 109*t - 62*t)*(1 + 1 - 1) to z*t + p and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 = p - 5*u, 31 = -3*p - 5*u + 166 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 900 and 18300.\nAnswer: 54900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, e: 2, a: 3, t: 4, r: 1}. Give prob of sequence rt.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1364, -1368, -1372, -1376?\n\"Answer: -4*m - 1360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 8597461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from teuafjtu. Give prob of picking 1 a and 1 e.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.297657 less than -2.196?\nAnswer: -2.493657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*r - 19 = -3*v, 4*v - 32 = r. Suppose -66*i + 60*i + 66 = 0. Calculate the lowest common multiple of v and i.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k**2 + 5578*k + 435288. Determine h(-75).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 136 = 4*i - 30, s + 110 = -4*i. What is the nearest to 0.1 in -3\/2, i, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 4*l + 3*l - 8, 3*i + 4*l = 14. Solve 2*n + 4 - i = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*d + 0*d = 0. Suppose -3*v + 3 + 6 = d. Suppose 5*k = 4*k - v*p + 63, 15 = 5*p. What is the highest common factor of 6 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -104, -58, 2\/7, 1, 2\/3 in increasing order.\nAnswer: -104, -58, 2\/7, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*c - 586*c + 118*c + 114*c + 115*c + 115*c.\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (294\/280)\/(240\/(-400))?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5*1)\/(1 + 0). Suppose l*w - w = 36. Let f = -1 + w. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**6\/3 + q**5\/12 + q**4\/8 - q**3\/6 - 5*q**2. Is n(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 13, w: 5}. Give prob of sequence kw.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*y**2 - 9*y - 87 wrt y?\nAnswer: -8*y - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in nineteen quarters of a meter?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7\/8 - -107\/104. Let p = -8.4 + -1.6. Which is the second smallest value? (a) p (b) i (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - 26. Let a be (p\/40)\/(14\/10). Is a at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 234*k - 14530. Determine s(51).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, -1\/11, 18, -2, -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 570*a*h**2 + 16*a*h + a - 3*h wrt h.\nAnswer: 1140*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 1 - 2 - (14 + -12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2*31\/((-248)\/(-40))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (20\/(-15))\/(8\/(-18)). Let g be (4\/f)\/(8\/12). Solve 10 = 4*n + g*c, 10 = n - c + 3*c for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (10 - (10 - 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 99574882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5584, -22362, -50328, -89488, -139848, -201414, -274192, -358188?\nAnswer: -453408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 236\/64*-2 + -13 + 20\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + s + 100 - 86 = 0, 2*l + 4 = 2*s for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 132 - 68. Let n = -0.141 - -63.941. Let g = l - n. Which is smaller: g or 2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4 = 2*t, 3*o + 4*t - 15 + 2 = 0. Which is bigger: o or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/1923887 and 27\/507101?\nAnswer: 252029197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 3 = 3*d, -992*y + 994*y - d - 5 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5059 - 3424. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7290 + 7300. Let m(u) be the second derivative of 0 - 1\/2*u**2 + a*u - 1\/6*u**3. Give m(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 15\/1) + 0. Let u = w - -21. What is the units digit of (0\/4 - -1)*u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 2*h - 8. Calculate c(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1187 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5352533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8581165 is divided by 189?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.0501 - 1.22\nAnswer: -1.2701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - v)*(2*v + v - v) + 2*v**2 + v**2 + 2*v**2 + (-2 + 0 + 3)*(2*v**2 + 0*v + 0*v) + 2 + 3*v**2 - 2.\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 735 = 5*y + l, 0 = -3*y + 2*l + 441. Suppose 3*d = 3*f + y, -4*f + 2*f + 152 = 3*d. Calculate the remainder when d is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from fyyfjyfff?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 470 - 469.9253. Let n = y - -0.9253. What is the nearest to -37 in 4, n, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -3 (c) 1\/5 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1364*o*t**5 + 66*o*t**2 + 64*o*t + 2649*o wrt t?\nAnswer: -27280*o*t**3 + 132*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*z**5 + 31*z**3 + 93*z wrt z.\nAnswer: -60*z**3 + 186*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1791542, 3583085, 5374628, 7166171, 8957714, 10749257?\nAnswer: 12540800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 2 + 17. Suppose 2*s + 6 - 26 = -5*q, 5*q + s = 15. Suppose x + x = 6. Solve q*i = m - 7, k*i + x + 0 = -m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + -61600946.\nAnswer: -61600946.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 + 11. Let x be o\/(-4) - 12\/(-8). Calculate the remainder when 11 is divided by (-1)\/((-33)\/x + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2218620133 to the power of 1\/4, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -142410011*s**4 - 9*s - 10657723 wrt s?\nAnswer: -1708920132*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*39.\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3294, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 4*d - 8 = 0. Suppose -2*x - 5*v = -78, 0*x = 2*x - d*v - 92. Calculate the highest common divisor of x and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w**2 - w - 1. Let p(k) = 16*k**2 + 140*k. Calculate -p(d) + 3*u(d).\nAnswer: -d**2 - 143*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 15*m**3 - 13*m**2 + 6*m - 4. Let p(s) = 16*s**3 - 9*s**2 + 5*s - 3. Determine -3*g(l) + 4*p(l).\nAnswer: 19*l**3 + 3*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 425*c - 3019 - 5058 = -1702 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -62*r + 0*r**2 + 0 + 0*r**3 - 1\/6*r**4. Let k(b) = -6*b**2 + 8*b**2 + 6*b**2. Calculate m(k(t)).\nAnswer: -128*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (2 + -4) - -6) + -5 + -12 + -30.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.3552 - 0.3552. What is the nearest to 28 in f, -1\/6, 1, -27\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ftk when three letters picked without replacement from {e: 4, n: 1, k: 3, t: 1, p: 2, f: 1}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -13*i**5\/180 + 41*i**4\/72 - i**3\/3 - 2*i**2 + 9. Suppose m(v) = 0. What is v?\nAnswer: 2\/13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11964.\nAnswer: 2, 3, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/30 of a week?\nAnswer: 336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6808.\nAnswer: 2, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0*i + 4. Suppose 5*h - 528 = r - 618, 2*r + 44 = -4*h. Solve w + i*w = r for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3345 and 6021.\nAnswer: 30105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 52 + 55 - 7*l - 108 in the form w + q*l and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(1*3\/15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -155 + 221. Suppose -5*f = -d - 165 - 0, -2*f = 4*d - n. Let x be f + -28 + 1\/((-2)\/2). Solve 2*b - x*v = 4*b + 10, 0 = b + v + 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120973018 and 76798.\nAnswer: 4042","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/48*4*-21. Let b(r) = 24 - 15*r - 4 - 3 - 2 - r**2 - 5. Is 22 a factor of b(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s - 81. Determine g(-6).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-44)\/(-3))\/(10\/8093265). Let c be m + (4 - (-1 + 3)). Let z = -7270124 + c. What is z rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.6, 7, -0.4, 0.23, 0, -0.1?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1474 + -1?\nAnswer: -1475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 34526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 5*i**3 + 2730*i**2 + 375360*i + 739840 = 0.\nAnswer: -272, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + z**2 - 1. Let v = -59 + 44. Let k(u) = -5*u**4 - 25*u**3 - 10*u**2 + 10*u + 15. Let h(o) = v*n(o) - k(o). Factor h(f).\nAnswer: 5*f*(f - 1)*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10 + (-2454)\/(-15))\/(2\/15). What is the highest common factor of 72 and z?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o - 1. Let w be (3 - (-298)\/(-14)) + (-16)\/(-56). Let b(h) = 15*h - 18. What is w*c(f) + b(f)?\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3008 and 88?\nAnswer: 33088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in 5, 22, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 1. Let o = 5 + -2. Let b be a(o). Suppose 2*u = -3*g - 2, -4*u - b*g + 4 = -0. Solve 4*d - w - 7 = 0, u*d - 20 = 4*w - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2250363km to millimeters.\nAnswer: 225036.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 41367\/21 - (-6)\/(84\/2). Round b to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 0 + 0)*(2*z**4 - 1 + 1) + 13*z**5 - 1 + 23*z**5 - 22*z**5.\nAnswer: 16*z**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -296 + -33aab?\nAnswer: -34185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 616 is divided by 201?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14, -25, -44, -71?\n\"Answer: -4*q**2 + q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 11:11 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2 = -1. Let c(g) = 23*g + 1. Let a be c(u). Calculate the highest common factor of 72 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**2 - 17 + 11*d + 17 - 4*d to the form x + k*d**2 + w*d and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5115 and 2387.\nAnswer: 35805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7 (b) 0 (c) 0.3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 6*s**2 + 3*s - 6. Let d be o(5). Let v(c) = c**3 - 7*c**2 + 3*c + 1. Calculate the common denominator of v(5) and d\/40*1\/(8\/(-58)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/10 + (-6)\/15. Let u be 16\/(-9730)*14350\/84. Let o = 2\/417 - u. Which is the biggest value? (a) o (b) r (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 4*z**2 - z - 1. Let k be w(-4). Suppose -4*h = 8*u - 11*u + 9, -k*u + 9 = -5*h. Solve -3*t = -u, 2*t = 5*p - 0*t - 23 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/8)*y\/(y*y**(-2\/11)))\/(y**(-2\/9)*y\/y**2*y) assuming y is positive.\nAnswer: y**(221\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5*s - 38, -2*k = 2*s + 2 - 16. Let y = 15 + s. Suppose -18 = -u + y. What are the prime factors of u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72 by -3.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -106*w - 2 + 64*w + 39*w. Suppose -n + 8 = -5*b, -2*b - 1 - 3 = 0. What is j(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-8)\/12 + 208\/24).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (1 + 0 - (11 - 4))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1512 and 678258.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 2:07 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -k**5\/70 - 3*k**4\/14 - 5*k**3\/7 + 25*k**2\/7 + 266*k + 98. Let d(c) be the first derivative of s(c). What is m in d(m) = 0?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-46)\/(-115) - (-4)\/(-10). Which is bigger: -4\/11 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (((-2)\/(-4))\/1)\/((-19)\/(-28652))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -6*v**2. Let b(s) = -1239*s. Give b(u(d)).\nAnswer: 7434*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/39? (a) 108 (b) 1 (c) 1\/3 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 19, 23, 21, 7, -25, -81?\n\"Answer: -n**3 + 3*n**2 + 2*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -400008942 divided by -5.\nAnswer: 400008942\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14281507 + 6*h**2 - 65*h**3 - 6*h**2 + 14281507.\nAnswer: -65*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 2*m. Let f be (-3)\/6*-7 - (-3)\/(-6). Suppose 12 = 4*a - 4*l, 4 + 22 = 4*a + f*l. Solve -5*q + p - 2 = m, -a*p = 5*q - 0 - 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*i - 5*j + 2, 4*i - j = -4. Let r = -1.8 + 1.3. Let l be -1*(2 + 12\/(-7)). Which is the nearest to l? (a) i (b) r (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 441*c - 1084. Is g(6) a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**3 + 1071*d**2 + 2687*d + 1417. Calculate o(538).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 21*h**6\/10 + 631*h**5\/20 + 1585*h**4\/12 + 25*h**3\/6 + 211*h. Determine n, given that m(n) = 0.\nAnswer: -5, -1\/63, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9244000 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.49 + 0.51. Let u = 0.58 + 0.02. Let x = 1.4 + u. Which is the closest to -1? (a) l (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -2333073.\nAnswer: -9332292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, -36, 0.2, -2\/127, 51?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3547500.14 to the nearest ten thousand.\nAnswer: 3550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**6*b))\/b)\/b)\/(b\/b**(-3\/16)*b) assuming b is positive.\nAnswer: b**(-163\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3926?\nAnswer: 2, 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3a92 - -5?\nAnswer: -3a8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92791, -185595, -278403, -371215, -464031?\nAnswer: -556851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 129 and 3225.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 4. Let x = v + 1. Let y = -24 + 20. Which is the second smallest value? (a) y (b) -0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 times -0.25?\nAnswer: -4.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -11*o**7\/7 - 2*o**3\/3 - 29*o**2\/2 + 97. Find the third derivative of x(m) wrt m.\nAnswer: -1320*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*p - 33*p - 7 = 0, 0 = -4*x - 4*p + 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 27\/6 + (-1)\/2. Suppose 19800020 = -u*f + 2*f + 5*k, -3*k - 49499988 = 5*f. Round f to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**2 + 69*p - 13. Let l be w(-24). Suppose 0 = 2*m - y - 27, 4*m = y + l. Solve 15*h - m*h - 2 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 6*y**2 - 3*y - 5. Let z be n(5). Let r(h) = h**2 - 3*h - 5. Let c be r(8). Suppose c = -5*t + z. Is -5 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**28\/v*v)\/v**28)\/(v**(2\/43)\/v**17) assuming v is positive.\nAnswer: v**(729\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - ((-86)\/1 - 4). Suppose 0 = 2*m, 2*m = -5*h + 7*m + j. Solve 3*g = 8*g + z + 5, -h = -g - 4*z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2759890 and 665?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.59 + -0.19. Let y = w - 0.7. Let g = 0.1 + y. Which is the smallest value? (a) -0.07 (b) g (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 16) to base 9\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from ydycpdcddcdcddo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 12:38 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1570, 3122, 4678, 6238, 7802, 9370, 10942?\n\"Answer: 2*o**2 + 1546*o + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 5*v - 4. Let k be m(3). Solve -1 - 7 = -k*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence smm when three letters picked without replacement from {h: 3, m: 6, w: 2, j: 1, s: 5}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 12*w**5\/5 - 5*w**4\/6 - w**3\/2 - 104*w. Find the third derivative of g(x) wrt x.\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**5\/15 - 82*v**4\/3 - 3614*v**3\/15 + 123698*v**2\/15 - 613984*v\/15 + 494312\/15 = 0. Calculate v.\nAnswer: -194, -26, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxvxnwwwxxhxwxx. Give prob of sequence nv.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 11*o**2 + 10*o + 5. Let s(b) = 18*b**2 + 16*b + 8. Let w(l) = -5*s(l) + 8*v(l). Let g(h) = -59*h**2. Determine g(w(k)).\nAnswer: -236*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.595 - 0.877. Let d = n - 0.71. Let g = d + -0.008. Which is the nearest to -0.4? (a) g (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 h, and 1 c when three letters picked without replacement from {z: 3, h: 2, i: 7, r: 2, f: 1, c: 3}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**3*n*n)**(-34)\/(((n*n*n\/(n**(3\/2)*n*n))\/n)\/((n\/n**8)\/n)))**42 assuming n is positive.\nAnswer: n**(-8841)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 801004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 263386152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36087.2974 + -36064. Let p = i + 0.0026. What is p rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-1)\/3)\/(-1)*(-16524)\/(-459)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -19. Let a be 62\/(-22) - u\/21. Let w = a - -9\/11. What is the common denominator of 9\/4 and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1149792 and 2682848.\nAnswer: 8048544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -1\/2*h**2 - 15 - 19\/4*h**4 + 0*h**3 + 0*h. Determine y(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30\/73 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*r**4 - 1267*r**3 + 31*r**2 - 459230*r wrt r.\nAnswer: -48*r**2 - 7602*r + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -444, -1813, -4104, -7323, -11476, -16569?\nAnswer: -22608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14497, 13250, 11979, 10672, 9317?\n\"Answer: -2*d**3 - 1233*d + 15732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggdtttdbbtdgddttdtdt. Give prob of picking 1 d, 1 b, 1 g, and 1 t.\nAnswer: 112\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -5*f**2 + 2*f**2 + 4*f**2. Let x(a) = -2*a**2. Calculate x(d(z)).\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7776 and 124656.\nAnswer: 20194272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 a when three letters picked without replacement from aeaaeaeaaeeeeeaaaae.\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -99604 divided by 37?\nAnswer: -2692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 11:04 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + (-3510)\/198 - 3*95\/(-627)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-168))\/(0 - (-2)\/(-14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*p**3 + p**2 - 7 + 7 + (-7*p**3 + 2*p**3 + p**3)*(-4 + 0 + 1) as i*p + b + t*p**2 + m*p**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/20 of a meter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 11.53?\nAnswer: -11.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*-5*4\/(-30). Which is smaller: g or 27\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -4 + 1 + 2 - -12?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -i - 14, 0 = -3*i + 7*i + x - 1. Let m(s) = 18 - s - i - s**2 + 24. What are the prime factors of m(0)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 6*h**2 - 6*h + 8. Calculate the remainder when 23 is divided by c(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001822155 to five dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0915048ml?\nAnswer: 0.0000915048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 109144367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6262\/7 + -113059\/126. Calculate the common denominator of b and -97\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 437.558km in centimeters?\nAnswer: 43755800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.08 - -0.08. What is the nearest to 1 in u, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 21*x + 486. Let j be k(19). What is the highest common factor of 15 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*c + 34 - 19 = 0, 5*q + c = -33. Let h(d) = d**2 + d + 1. Let s(w) = -3*w**2 - 5*w - 7. Give q*h(b) - s(b).\nAnswer: -3*b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvhvvvhvvv. Give prob of picking 2 v and 2 h.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8148\/190969 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*o**3 + 5173*o**2 + 66*o + 416795599 wrt o?\nAnswer: 9*o**2 + 10346*o + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 - 44. Let k(i) = i + 7. Let s be k(-3). Sort -4, -2, v, s in decreasing order.\nAnswer: s, -2, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 147596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (2 - 1) + 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -q**5\/20 + q**4\/3 - q**3\/2 + q. Suppose 18*a + 17*a = 70. Let k be h(a). Solve k*w - 20 = -2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30911569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o + 5*r = -13*o - 66, -9*r - 120 = -3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17833\/20808 + (-70)\/12 + 5 and -101\/24.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a - 2. Calculate the least common multiple of i(6) and (-137 - 69)*(-2)\/4.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8578295.\nAnswer: 5, 11, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/14 or -1.2?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 301 + 289 = 0. Sort 5, 2, -8, u.\nAnswer: -8, 2, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 4496912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, -33, 1\/8, -2, 9\/20 in decreasing order.\nAnswer: 9\/20, 1\/8, -2, -33, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-48)*9)\/(1\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 7*w - 3*a + 4710 = 0, -3*w + 4*a + 3520 = 0. Calculate the remainder when w is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2536 = -49*d - 3075 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5764 + -7?\nAnswer: -5770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 975639.6km in centimeters?\nAnswer: 97563960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6996 - 12479 = -5*x + 2*n, -5*n + 19440 = 5*x. List the prime factors of x.\nAnswer: 17, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18a + -6?\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -394cc + -20?\nAnswer: -3950c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -1185639.\nAnswer: -1185646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide ((-74)\/4 + 3)*-2 - 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 <= -216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/10*2)\/(-1)*-1. Let y be (-9)\/84*(-28)\/8. What is the nearest to -2 in y, -2, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 446733 + 100121 = 106*w. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2423339*n - 801138 with respect to n.\nAnswer: 2423339","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 110 and 7.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*y = 4819 - 4399 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-14\/9)*n)**(-2\/13) assuming n is positive.\nAnswer: n**(10\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r**3 + 8*r**2 + 5*r**2 - 11*r**2 to p + u*r**2 + s*r**3 + x*r and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 + -302?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of d**6\/40 - d**5\/60 + d**3\/6 - 2*d**2. Let l be g(1). Let y be (2*l\/(-3))\/(-2). Solve 4*q = -y + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 816181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7717*n + 140*n**3 + 7717*n.\nAnswer: 140*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 1, 5, 3\/8, 0.4, -5.5, -2\/9, 3\/2?\nAnswer: -5.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -126*n**2 + n**2 - 34*n**2 + 4*n**2 - n**2 - 2*n**2 + 0*n**2 + 0*n**2 + n**2 + 0*n**2 + 0*n**2 - 2*n**2 + (-n + 2*n - 3*n)*(3*n - 4*n + 2*n).\nAnswer: -161*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4746311, 9492561, 14238811, 18985061, 23731311, 28477561?\nAnswer: 33223811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.03, 0.6, -0.06, 0.3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/((-2)\/((-4)\/2))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 95*k = 91*k + 4 + 8, -7*i - i - 2*k = -i + 21 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from jaaaajajuaajaaauua?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 4*d**2 + 1. Let r be w(4). Is -2\/67 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 27.89. Let k = 0.019 + -0.009. Let x = k + a. What is the closest to x in -1\/11, -0.3, -5?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 616*k**2 - 4*k - 4. Let g(v) = -1854*v**2 + 11*v + 11. Calculate -11*f(q) - 4*g(q).\nAnswer: 640*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 6:49 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 - 7*i - 161. Let p be v(11). Suppose -h - 3*q + 1669 = 0, -4*h + p*q = -8013 + 1353. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 160*f*s**3 + f*s**2 + 22*s**3 + 2*s**2 - 140*s - 1 wrt s.\nAnswer: 960*f + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66533 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 3 = -k, -3*k - 13 = 7*c - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -9 - (-39)\/(-3)*(2 - 3). Sort a, -5, -243 in increasing order.\nAnswer: -243, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24351029 and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*w**3*z - 5*w**2*z + 29*w**2 + 445*w*z wrt w.\nAnswer: -78*w*z - 10*z + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -17 + 4 - 12*c - 5. Let x be z(-3). Solve -5 + x = p - 4*b, -4*p + 3*b = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**3 - s**2 + 1. Let j(p) = 8*p**3 - 12*p**2 - 16. Determine 10*f(t) + j(t).\nAnswer: -12*t**3 - 22*t**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 10:05 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26363902.\nAnswer: 2, 41, 43, 7477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1608 and 68.\nAnswer: 27336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 165*z + 1000. Calculate a(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + d - 1. Let x(z) = 6*z**3 - 9*z**2 + 14*z - 15. Let g(f) = 5*b(f) - x(f). Let h be g(8). Solve 9 = 5*r - h*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174535 is divided by 57974.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 7*j = -10, -4*z + 5*j + 270 = 0. What is the remainder when 191 is divided by z?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 92160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.07 + 0.07. Let k = 7.6 + p. Sort -0.1, k, -2\/3.\nAnswer: -2\/3, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -41. Solve -u - 2*u - o = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396587831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p - 859 - 3*p**2 - 858 + 1719. Calculate u(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 529*z - 186*z - 341*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/9*(-9)\/6. Is 9 - 11 - (-226 - b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -4*a - 2*l + 108, 3*l = -4*a + 108. Suppose -5*o - 48 = -4*y, -2*o - 40 = -4*y + o. What is the remainder when a is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v - 9*v + 32*v - 11*v - 11*v.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 20573, 42698, 64813, 86918, 109013, 131098?\n\"Answer: -5*y**2 + 22140*y - 1562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -303*r + 342*r - 452634 = 0. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22443 - 0.9.\nAnswer: 22442.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2 = -0*t. Let j = -124 + 128. Let z = 6 - j. Solve -3*q + t = -z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(2\/21)*s)\/s)\/s**(-4))**(-1\/55) assuming s is positive.\nAnswer: s**(-86\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.20664, 2, 147?\nAnswer: -0.20664","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 24.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72 + -70. Factor -29 - 2*s**n - 28*s + 8 - 77.\nAnswer: -2*(s + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*r - 11 = -0*r, -4*r = -2*h + 6. Let a be (-26)\/(-5) + h + (-2)\/10. Suppose 2*n - 4 = 12. Solve -2*c = -a*c - n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 - 102 + 114 = 3*n, -v - 2*n = 45 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 418 - 219 - 170 + 11*r to the form d + c*r and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {e: 2, u: 16}.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**2 + 181654*i - 4177513 = 0.\nAnswer: 23, 181631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (54\/15)\/(6\/(-20)). Let c = 12 - 11. Let h be c\/6*(y + 1). Is -3 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 52, -1536 in decreasing order.\nAnswer: 52, 1, -1536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16943 is divided by 339.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, k: 2, r: 1, t: 6}. What is prob of picking 2 t?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3250681 or 3250664?\nAnswer: 3250664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6239145 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.4988 - 5.4539. Let z = t - 0.0449. Suppose 3*l + 5*u + 11 = 0, 0 = -8*l + 3*l - u - 33. Which is the third smallest value? (a) -5 (b) z (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0034355559 take away -0.5?\nAnswer: 0.4965644441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-62)\/(-14) - (10 - 6) - (-9)\/(-168)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61.8, 3\/7, -4\/7, 0.5, -5 in descending order.\nAnswer: 61.8, 0.5, 3\/7, -4\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 7*y**2 + 8*y + 15. Let z(h) = -h**2 - h - 3. Give t(f) + 5*z(f).\nAnswer: 2*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 769 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 68?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - q - 8, 4 = -0*d + d + 3*q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**6\/60 + u**5\/12 - u**4\/8 + u**3\/6 + 4*u**2 - 9*u. Let f(n) = -n**3 - 4*n**2 + 2*n. Determine -3*f(y) - 2*w(y).\nAnswer: -y**3 + 2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 218502*f - 10267387. Determine g(47).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -284834.09 to the nearest one thousand.\nAnswer: -285000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(-29*c**5 + 547*c**4 - 547*c**4).\nAnswer: -29*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**2. Let l = -126\/5 + 1513\/60. Let s(q) be the third derivative of 0 + 0*q**4 + 0*q**3 + l*q**5 + 7*q**2 + 0*q. What is s(j(f))?\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012004327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*d - 2*h = -82, 84 = 3*d - 3*h. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**3 - c**2 + 4*c + 1. Let s(q) = 773*q**4 - 8*q**3 + 4*q**2 - 3*q + 23. Let p(t) = 4*b(t) + s(t). What is the second derivative of p(k) wrt k?\nAnswer: 9276*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 143205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*j + 34*j + 3080. Is 20 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, -4, 2, 340 in decreasing order.\nAnswer: 340, 54, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 divided by 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*1*(-15)\/6. Suppose 4*x - 5*o = -0*o + 177, y*x + 3*o = 249. Suppose 5*g = 4*r - 41, -3*r - 3*g + g + x = 0. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82996 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1765*p - 11460*p - 301329 = 18606 for p.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-4 + 51\/2). Suppose -273 = -5*z - v. Calculate the least common multiple of 8 and z.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000100001111001001 (base 2) to base 13.\nAnswer: -9a2aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*h + 212 + 1480 = 63*h. What is the closest to 0 in h, 1\/5, -249?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100201200 - -1?\nAnswer: -100201122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 12920 + 80110. What is k rounded to the nearest one thousand?\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 11:57 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 - 9 = 3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 5:37 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)*3)\/(sqrt(108)\/(sqrt(9) - (sqrt(90)\/sqrt(10) - sqrt(9) - sqrt(9)))).\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 37 and -453981?\nAnswer: 454018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h + 68 = -34. Let k be ((-12 - 2)\/(-7))\/h. Let m = 48 + -193\/4. Which is the biggest value? (a) -17 (b) m (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100 (base 2) to base 9\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3044 = 4*g + 10908. Let q be (-9)\/27 + g\/(-6). Suppose 2664 + q = 5*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3545 - 100 = 2*y - 3*x, x = 5*y + 9145. Find the common denominator of (-62)\/8*2\/(-26) and ((-2)\/10)\/((-96)\/y).\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91f (base 16) to base 11.\nAnswer: 1833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 54454550 + -30?\nAnswer: 54454520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 28 = -5*z, -3*z = -6*b + 5*b - 14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101101100101 + -1?\nAnswer: -1101101100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -64, -4 in ascending order.\nAnswer: -64, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 s when two letters picked without replacement from xxxafsufxsuu?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1478, 3 in increasing order.\nAnswer: -1478, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 7*f + 3. Let d(g) = -12*g - 6. Let b(l) = -4*d(l) - 7*o(l). Let k be b(-2). Let p(c) = -c**2 + 5*c - 3. Let n be p(3). Solve -n*a + 1 = -k for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -1 - 2 + 7*h**2 + 2*h + 4. Let f = -4 - -3. Calculate the lowest common multiple of 2 and p(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2368 and 2775?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 7 - 15, -2*a + 2*u = 5114. Which is greater: a or -2554?\nAnswer: -2554","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45450.\nAnswer: 2, 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1713759 + a?\nAnswer: 1713768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*p - 22. Suppose -9*v = -p*v - 56. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*b**2 + 59*b**2 + 21*b**2)*(31 + 34 - 22).\nAnswer: 4472*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -103*g - 3. Let b(i) = -205*i - 8. What is -2*b(z) + 5*s(z)?\nAnswer: -105*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1.26, 1, 2, -398.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000099564 rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - d**2 + 3*d + 4. What is the remainder when m(-3) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - 107\/(-36) - 0) + 1926\/(-8667). Find c, given that j*c**2 + 9\/4*c**4 - 9\/4*c**3 + 0*c + 0 - 3\/4*c**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4441*i + 22 = 4444*i - 5*j, -4*j - 16 = -4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -92.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*i + 15 + 3 - 6 + 124*i + 0 to the form h + q*i and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 4, 244, -2, 14 in ascending order.\nAnswer: -2, 4, 14, 28, 244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j - 14. Let h(o) = 4*o - 14. Let t(a) = 6*f(a) - 5*h(a). Let s = 4 - 14. Is t(s) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y + 95*y + 109*y + 1470 - 15*y.\nAnswer: 184*y + 1470","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 r, and 2 v when four letters picked without replacement from rvvlrllrrvllrvvlur?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/19)*t)\/(t\/(t*t*t\/t**(-7)*t)))\/(t**(-2\/41)*t*t**13) assuming t is positive.\nAnswer: t**(-2381\/779)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 50*z**2 - 3*z - 142. What is the smallest common multiple of 9 and g(-50)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 2*j - 18, -74*j - 5*o = -70*j - 39. Sort 74, -2, j in decreasing order.\nAnswer: 74, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26324 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 22 + 21 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-875)\/(-65))\/(-7) + (-2)\/(-1)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 5:00 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqlqqqqqu. What is prob of picking 1 l and 3 q?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*r - 12, 0 = 5*k - 2*k + 3*r. Suppose 5*j - 19 = j + f, 5*j - 5*f = 35. Is ((-262)\/j)\/(k - (-14)\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -1, 7 in descending order.\nAnswer: 7, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 559900 to the power of 1\/2, to the nearest integer?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -43 - 57. Let c(s) = -5*s - 48. List the prime factors of c(j).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27.99999877 + -28. What is t rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -25.51. Let j = v - 2.79. Let q = j + -1.12. Round q to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.17 + 1.83. Which is the third biggest value? (a) l (b) -2\/9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 - -34. Let g = 1.7 + -8.7. Which is the smallest value? (a) j (b) g (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 6*o**2 - 13 + 4*o - 15 - 10*o + 8*o. Is t(-11) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6106 and 5898052?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 2*a - 3*q + 41086, -a + q + 20553 = 0. Let k be (-1 - a)*12\/18. What is k rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130520 (base 9) in base 6?\nAnswer: 1410243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-175)\/(-980)*(-2)\/5?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 4167?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72941223?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2*(1 - 36))\/(7\/14). What is o rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -108729631 or -108729632?\nAnswer: -108729631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50866662 and 1386.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/558? (a) 3\/2 (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/2*64\/(-40). Suppose -d*o - 1 + 21 = 0, 0 = 4*m - 5*o + 1600025. Round m to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s - 9. Let y(l) = 5*l - 23. Let a(m) = -13*x(m) + 6*y(m). Determine a(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.6 + -5.59494.\nAnswer: -8.19494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -637674 by -212558.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.3 (b) 7 (c) -2 (d) 3\/4 (e) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 689, 0.5, 51.1, -2.\nAnswer: -2, 0.5, 51.1, 689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -c**4\/12 + c**3\/6 + c**2\/2 - 336*c. Let u(p) = -2*p**2 + p + 3. Let f = 1 - 2. Let r = 0 - -1. What is f*u(v) + r*h(v)?\nAnswer: v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 5. Suppose 20 = g + z*g. Solve 5*j = g + 10 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-11 + -14 + 27 + (-16 - -4))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1319119.2378236 + -30?\nAnswer: 1319089.2378236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 706330?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -24a6 (base 11) to base 3\nAnswer: -11110211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24397?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 370743495 and 938?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 2 + 6 + 1 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/20)\/(37\/(-7400)*16)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 143704 and 14839?\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2*x**4 + 2 - 6 - 2*x**2 as l + m*x**3 + o*x + a*x**2 + n*x**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124, 196, 266, 334, 400, 464?\nAnswer: 526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011111010101 - -1?\nAnswer: -100011111010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**3 + 52*k**2 - 44*k - 153. Determine z(25).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/67 in 0.4, 21, -1, 87?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9550.20006 + -9551.4. Let a = b - -1.2. Round a to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.2708627 kilometers?\nAnswer: 270862.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 607679 + -10.1763\nAnswer: 607668.8237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (574 + 55 + 15*q - 17*q)*(-4 + 3 + 2) in the form o + h*q and give o.\nAnswer: 629","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 595267\/484671 - 1\/8503. Find the common denominator of 89\/912 and k.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2175, 2415, 2813, 3369?\n\"Answer: 79*r**2 + 3*r + 2093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 34 = 4*c - 5*p, 4*c - 3*p = 27. Suppose -4*v - v + 898 = l, 0 = c*v + l - 540. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/18*-3)\/(2382\/(-100044))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5\/(5\/6) - 5832\/(-27) is divided by 53?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 17*p**2 - 37*p - 13. List the prime factors of s(-15).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -6*m - 4. Let g(l) = 5*l + 4. Let u(k) = 5*g(k) + 4*w(k). Let q(p) be the third derivative of -p**4\/24 - p**3\/2 + 15*p**2. What is 4*q(v) + 3*u(v)?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a - 113 = -3*x + 17*a, -4*a = 4*x - 140. Let u be (-6 + -33)*(0 + (-2 - -1)). What is the highest common divisor of x and u?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -48592253, -48592252, -48592251, -48592250?\n\"Answer: j - 48592254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7662 = -1159*v - 1661*v + 17552 + 18310 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 2 - 217*q**2 - 244*q**2 - 3 + 5 as f + y*q + z*q**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 3.74, 11\/6, -1?\nAnswer: 3.74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 7 + 15 + -35 + -13 + (-4 - 0)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*f**4*h + 6414114*f**2*g**3 + 2*g**3*h + 1774*g**3 - 3*g**2*h + 5*g - 2*h wrt f.\nAnswer: -16*f**3*h + 12828228*f*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -354 - -352. Let g = n + 9. Which is the biggest value? (a) 2\/7 (b) g (c) 0 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 792370553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1254\/171 - 2\/(-3). Solve -4*l - 4 = 5*m - 2, 0 = -3*l + m + w for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -3\/19, 1\/389?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) -0.5 (b) -1 (c) 3 (d) 1 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -400, -3190, -10756, -25486, -49768, -85990?\nAnswer: -136540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 17890.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 6:53 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, g: 3}. Give prob of sequence gpgp.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 67\/(-13) + (-8)\/(-52). Let f(t) = t**2 + 3*t - 5. Let l be f(b). Suppose -6*w = -w - 5. Solve 3*v = 2*s + w, 0 = l*v + s + s - 23 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 3 + (-1531)\/(-195). Let l = 2\/39 - x. Which is smaller: l or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 36195 = 3*b, 8*b = -2*d + 27354 + 8876. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/6*(-3)\/2. Let y = -32 - -51. Let j = y - 18.9. What is the biggest value in j, g, -5\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5\/3)\/y**3)**(-1\/42)\/((y\/(y**5*y))\/y**(2\/9)*(y**(-1\/3)\/y)\/(y*y\/y**(-7)*y)) assuming y is positive.\nAnswer: y**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(-2)\/4 - -4. Differentiate -5 - 3 + 4 - o*x**4 with respect to x.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 2. Suppose -w*k - 279 = -5*f - 46, -f + 37 = 4*k. Is 15 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6523.687992 + -145523.688032. Let y = -138994 - n. Let o = y + -6. What is o rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1299 and 24.\nAnswer: 10392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 0)\/(2\/18) + (-7722)\/1144?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/((-88)\/14)*(-10)\/(-35).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3878945598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 9*k**2 + 12*k + 12. Let i(r) = r + 1. Calculate -36*i(c) + 3*p(c).\nAnswer: 27*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.35 * 20.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1980164 and 136631316.\nAnswer: 136631316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 60 = -4*r - n, 65 = 4*r + 5*n. Is (-12)\/r*105\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -619148 greater than -618613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*q + 6*q - 12*q)*(q**4 + q**4 + 0*q**4) + 2*q**5 - 4*q + 4*q + (-1 + q + 1)*(0*q**4 - 5*q**4 + 4*q**4) + 0*q**5 - 4*q**5 + 0*q**5.\nAnswer: 39*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, n: 2, j: 2, q: 10}. Give prob of picking 1 q and 2 t.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*u + 6. Suppose 0 = -u*t - 0*t - 16000. What is t rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 12974184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4 - 1486*b**3 + b**2 + 1486*b.\nAnswer: -b*(b - 1)*(b + 1)*(b + 1486)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 5\/7 (b) 0.01 (c) 0 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s = -5*p - 12*s + 97, 5*s = 3*p - 55. Let z be -3 + 3 + 1 + 2. Suppose -z*q - 4 = 4*w - 2*q, 2*w - 8 = 2*q. Solve w = -5*x - 0*x - p for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1468790 to the nearest ten thousand.\nAnswer: -1470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3133, -8314, -17429, -32446, -55333, -88058?\n\"Answer: -328*d**3 + d**2 - 2888*d + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 7.872445nm?\nAnswer: 0.000000000007872445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 16*k**2 - 20*k - 35. Calculate the remainder when d(5) is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d**2 + 132*d + 26 = 0 for d.\nAnswer: -13, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 2:57 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111001 + 1010101001111101110?\nAnswer: 1010101010001100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -539313593 - 35084.\nAnswer: -539348677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -10316?\nAnswer: 41264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/1316 and -37\/11280.\nAnswer: 78960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 46 = -14. Let a = -16 + d. Let j(u) = u**3 + 6*u**2 + 2*u + 7. Give j(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176045967 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14685, 29845, 45005, 60165, 75325?\nAnswer: 90485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, -0.2, -0.1, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16664 is divided by 148.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2798 - -2809. Which is the third smallest value? (a) -1 (b) 0 (c) -30 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 958 + -659. Let w = 563 - b. Does 88 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226\/1921 - 1*(-61)\/(-85)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -502.8 + 503. What is the biggest value in f, -2\/9, 1.025?\nAnswer: 1.025","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-316)\/16 - -10)\/((-87)\/(-3)) and -83\/32.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -20191, -20183, -20161, -20119, -20051, -19951, -19813, -19631?\n\"Answer: h**3 + h**2 - 2*h - 20191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-876)\/10)\/2 - 20\/(-25). Let b = 47 + c. What is the lowest common multiple of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-8)*s\/(s\/(s**0*s)*s)*(s*s\/(s\/(((((s**2\/s)\/s*s)\/s)\/s)\/s))*s)\/(s*s**(-1\/6)) assuming s is positive.\nAnswer: s**(-53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3586*a - 3658*a - 936 = 0 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 22 = -q, 2*t = -3*q + 8 + 11. Suppose -3*u + q*y = 162, -4*u + 2*y = 5*y + 237. Is 3 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 575*r**2 - 575*r**2 - 8945*r + 3*r**3.\nAnswer: 3*r**3 - 8945*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 11*w + 8. Let g be p(7). Let d = -14 - g. What is the greatest common factor of d and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.24 + -0.06. Suppose 2*o - 2*j = 6, 4*j - 15 = -5*o - 0*j. Suppose 2*z + 0*f - 8 = o*f, -20 = -5*z + 2*f. What is the third smallest value in m, 2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3655 = -256*g - 327*g + 1592 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 90, 315, 674, 1161, 1770, 2495?\n\"Answer: -c**3 + 73*c**2 + 13*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -9*l**2 - 136*l - 12. Let j be k(-15). Suppose 29 = j*o + 4*n, -4*n = -13 - 7. Solve 0 = v - 3*a - o, -2*v - 10 = -0*v + 2*a for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1913044 - 679645. Let j = o + 2592899.9746. Let u = 211 - j. What is u rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -32 + 6 - (22 + (-15 - 14) + 19).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*n**4 + 2*n**3 - 5*n**4 + 0*n**3 + (-1 + 3 - 4)*(-n**4 - 2*n**3 + 2*n**3))*(-254*n - 223*n - 12*n).\nAnswer: -2445*n**5 - 978*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 22*t**2 - 41*t - 46. Let s be o(-20). Let m = -48 + 45. Let x = 3.2 + m. Which is greater: x or s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32786 is divided by 995?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = -5*o - 3*q, -5*o - 77 = -4*q + 9. Does -20 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2. Let s(f) be the first derivative of 0*f**3 + 1 - 2*f - 5\/12*f**4 + 0*f**2. Let u(l) be the first derivative of s(l). What is c(u(m))?\nAnswer: 50*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*o + 434366502 - 434378062 = 0 for o.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -1523*c**3 - c**2 - 21*c - 11. Is p(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14041 (base 6) to base 11.\nAnswer: -1707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9091, 14922, 20707, 26422, 32043, 37546, 42907, 48102?\nAnswer: 53107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3941.1865238 and -1.\nAnswer: -3942.1865238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 227*y**3 + 8*y**2 - 9*y + 2. Let h(c) = -452*c**3 - 20*c**2 + 17*c - 5. Calculate -2*h(g) - 5*l(g).\nAnswer: -231*g**3 + 11*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/sqrt(5) + 2)**2 + sqrt(176) + 2.\nAnswer: 17 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.7137 and 4310.446?\nAnswer: 4307.7323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*h**2 + 11*h**2 - 9*h**2)*(-6 + 2 + 5)*(-10 + 4*h + 10) to q*h + y*h**2 + f + i*h**3 and give i.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13472 = -47*z - 300*z - 66*z - 15438 for z.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -98.53 + 93.4. Let m = 0.13 + u. What is the second smallest value in -4\/9, m, 2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -135\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -96, -85, -74, -63, -52?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2. Let l(t) = t**2 - 3. Let y be l(3). Let a(i) = 0*i**2 - 4*i**2 + y*i**2 + i**2. Give s(a(q)).\nAnswer: -18*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -19*x**7\/210 + 5*x**3\/2 + 25*x**2. Differentiate f(a) with respect to a.\nAnswer: -76*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + m**2 - 2*m. Let q(b) = -18*b**3 - 3*b**2 + 2*b. What is 2*f(x) + q(x)?\nAnswer: -20*x**3 - x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.3 + -4. What is the closest to 4 in -2\/7, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -m**3 + 9 + 3\/2*m**2 - 5*m + 1\/2*m**4. Let j be y(2). Solve 0 = -4*t + j*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 13 + 0 + 0 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.22 + 0.22. Let t = -655\/1704 - -2\/213. What is the closest to s in 5, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(140) - sqrt(140)*1 - sqrt(140))\/sqrt(7))\/(sqrt(4) - 3*sqrt(16)\/sqrt(4)).\nAnswer: sqrt(5)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 1114 = 134. Sort -2, 5, y in decreasing order.\nAnswer: y, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 2*j - 190 + 194, g + 5*j = 24 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 679 + 1181 - 2*u + 667 - 304 as x*u + w and give w.\nAnswer: 2231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6384\/(-266) + (-867)\/(-36)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 111 = -o - 0*o, -327 = -3*o - 3*n. Suppose 37 = 2*l - 11. Suppose -l = -8*k + 6*k. What is the greatest common factor of o and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x**(-1\/3)*x)))**(-31)\/(x**4*x*x**(2\/11)*x) assuming x is positive.\nAnswer: x**(-886\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/42759 and 15\/11.\nAnswer: 470349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 139, 3\/7, -5, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g - 3. Let n be u(4). Let i(j) = -j**3 - 7*j**2 - 2*j + 4. Let m be i(n). Let f = m + -55\/3. Which is the biggest value? (a) f (b) 2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.8, 5, -1\/3, -1\/15, 13\/8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29089, 58239, 87391, 116545, 145701, 174859?\nAnswer: 204019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 4*q**2 + 2*q - 2. Suppose 0*h - 5*h = 10. Let d be f(h). Which is the nearest to d? (a) 0.4 (b) -0.5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 8 = 5*v. Suppose 3*g + 2*j + 4 = -v*j, 26 = -5*g + 3*j. What is the remainder when 55 is divided by 37\/2 - g\/8?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 6*j**2 + 3*j**2 + j**2 to g*j**2 + v*j + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(45))**2 + (sqrt(5) - (-4 + sqrt(45)))**2.\nAnswer: -16*sqrt(5) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10633287493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4983, -19912, -44777, -79572, -124291, -178928?\n\"Answer: h**3 - 4974*h**2 - 14*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**2\/9 + 89*d\/9 - 590\/3 = 0?\nAnswer: 30, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (-1)\/(-2)*0. Let n be (u - 1)*(-8)\/6. Suppose 0 = n*y - 15 + 3. Solve r - 2 = y*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 99 - 42)*(1 - 3 + 0)*(-3 + 9 - 5*z - 3).\nAnswer: 300*z - 180","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 30*x - 385. Determine v(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2620870935?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 0 + -76 + 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 165275131?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22787?\nAnswer: 22787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29951.17 days to hours.\nAnswer: 718828.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11544 - 11542. Let y = 21.977 - 22. What is the biggest value in y, 1\/2, 0.1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81 + 325\/4. Which is the nearest to 19? (a) m (b) 3 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/12)\/(3\/(-1)*(-3)\/(-9))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = b - 4. Is -6*2\/b*2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -s**7\/630 - 1391*s**6\/180 - 1932097*s**5\/180 + 161356*s**4\/3 - 107648*s**3 - 7158*s**2. Factor t(z).\nAnswer: -(z - 1)**2*(z + 1392)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*c - 27*c - 16 = 0. Suppose 8*v - 2*v - 12 = 0. List the prime factors of (5\/((-10)\/16))\/(v\/c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u. Let h(o) = 0*o - o - 4*o + 0*o. Calculate d(h(s)).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -144*p**2 - 42*p + 42. Let d(b) = -17*b**2 - 5*b + 5. Let g(l) = -42*d(l) + 5*m(l). Let h(z) = 3*z**2. Give g(h(v)).\nAnswer: -54*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16023 (base 8) to base 13.\nAnswer: -336b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2323708439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(9\/(-3) + 3). Let l = -6 - k. What is the units digit of l\/4*2*-13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 225*w + 4. Let a(r) = -3729*r. Calculate v(a(b)).\nAnswer: -839025*b + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1430864 a multiple of 542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + (-2 + 8 - (62 - 61))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 v when two letters picked without replacement from {b: 1, c: 1, z: 1, k: 1, v: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/6 - 1990\/12. Let s = 164 + m. Put 2, 2\/7, s in decreasing order.\nAnswer: 2, 2\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 - -514894\nAnswer: 514894.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -13 - 219\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 2, 4, -12574, 81?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 30 = 7*t - 2*t, 3*t + 10 = -4*n. Suppose 0 = s - 2*f - 2, 5 = -t*s - f + 4. Let r(q) = q - 6. Determine r(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 55.8009 and 2003.834117.\nAnswer: 2059.635017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6520 * -0.091.\nAnswer: 593.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + (-3 + 2)*1. Solve 3*s = -10 - c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bw when two letters picked without replacement from wbwwbb?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence as when two letters picked without replacement from {a: 2, s: 11}?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 7 - 1)*(1 - j - 1) - 2 + 2*j + 2 + (3*j + 3*j - 4*j)*(0 + 4 - 2) - 3*j + 3*j - 2*j - 2*j + 2 - 2 - 4 - j + 4 in the form m*j + q and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 3*a - 119, 0 = -3*v - 108*a + 110*a + 102. What is the remainder when 1851 is divided by v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h - 6*h = -1458 + 2614. What is the greatest common factor of h and 4386?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -9. Let b = -5 + s. Let i = -0.2 + 0.4. What is the nearest to 0.1 in i, b, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d - 3 = 10*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -559969.5449 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -33*o**4\/4 + 629*o**2. Let i(c) = 3*c. Determine i(w(l)).\nAnswer: -594*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(7) - sqrt(14)\/sqrt(2)*-3) + -2.\nAnswer: -12*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*2 - sqrt(2))*-5 + (sqrt(50))**2 + 2.\nAnswer: -5*sqrt(2) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/11781 + 11789\/47124. Let w(i) be the first derivative of -42 + 1\/8*i**2 - 1\/16*i**4 + 1\/2*i + 1\/20*i**5 - m*i**3. Suppose w(o) = 0. Calculate o.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 9:46 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20140 is divided by 801.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/4, 5\/21, 7, -16?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002552 rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2694729 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, w: 6, m: 7}. What is prob of picking 1 h, 2 m, and 1 w?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -607*s + 610*s - 4857 = 0. What are the prime factors of s?\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -472*d + 6 + 1377*d - 475*d - 466*d in the form x + n*d and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -11*n + 6. Let h(b) = -7*b + 4. Determine 8*h(g) - 5*w(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 m when two letters picked without replacement from {a: 1, e: 3, m: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.85733g to nanograms.\nAnswer: 857330000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1490 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 214.121394 seconds?\nAnswer: 0.002478256875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 232.0195 - 0.0195. Let h = -231.9 + v. Which is the second biggest value? (a) -2\/11 (b) 2\/9 (c) -0.1 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2 + p - 1. Let w be b(2). Let n be (-68)\/w - (-4)\/14. Suppose j + n = 2*j. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.725771 to 1 decimal place.\nAnswer: -9.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3575748*h - 3575605*h - 11726 = 0 for h.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6989.\nAnswer: 29, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1370, -2493, -3362, -3977, -4338?\n\"Answer: 127*r**2 - 1504*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3350.00683 - -0.00683. Let w = c + 3346.6095. Let j = w - -3.4. What is j rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.6 - 12.6619. Round h to three decimal places.\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2831460 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30.931 - -0.069. Let u = p + -33. Which is greater: -4\/7 or u?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k - 12. Let c(a) = a**3 + 5*a**2 - 3*a - 7. Let b be c(-5). Let o be s(b). Suppose -o*d = -0*d - 132. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d8f26 (base 16) in base 2?\nAnswer: -111011000111100100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1307 divided by 7818\nAnswer: -1307\/7818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/11047874 and -5\/4.\nAnswer: 22095748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -130188568 - -571188565. Let m be 4\/6 + (l\/(-9) - 1). Round m to the nearest one million.\nAnswer: -49000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 26*u + 272. Let m be j(20). Suppose m = 2*o + 15*z - 19*z, -3*o + 5*z = -1190. What is the highest common divisor of o and 320?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of 0*w - 1\/210*w**7 + 0 + 0*w**6 - 7\/60*w**5 + 0*w**4 + 0*w**3 - 2*w**2. What is the third derivative of c(b) wrt b?\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-nine halves of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54 - -60. What is the highest common divisor of 3 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120987 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v*v*v**(12\/5)*v*v))\/v)\/(v*v**7))**(2\/93))**(-28\/9) assuming v is positive.\nAnswer: v**(448\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -19*w + 38. Sort -1, -5, -27, w, -3 in descending order.\nAnswer: w, -1, -3, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwbwwwwwwbbwwbwwwwww.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 6*a**2 - 12*a - 10. Let p(z) = -2*z**3 - 11*z**2 + 22*z + 19. Let i(y) = -11*c(y) - 6*p(y). Let m be i(2). Let s(b) = 3*b - 3. What is s(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3388)*-3*-1 - ((sqrt(3388) + -2)*1 - sqrt(3388)))*1)**2.\nAnswer: 264*sqrt(7) + 30496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 2*n - 3*b, -19 = 3*n + 3*b - 52 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/1785*5)\/(((-98)\/(-21))\/7)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m. Suppose -4 = -4*g + u - 5*u, 2*g - 5*u + 5 = 0. Let q(z) = -26*z + 3*z**2 + 26*z + g*z**2. Determine q(y(c)).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 5*b = 2*a - 959 - 966 + 1942, -2*b - 5*a = 34 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/21 and -52\/47551.\nAnswer: 142653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -368 = -3*d + 415. Let b = 382 - d. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**5\/60 - c**4\/12 - c**3 - 4*c**2. Let g be p(5). Let d = g - 4. What is the remainder when d is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27286 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rirr when four letters picked without replacement from {z: 4, r: 4, i: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 18*k - 120. Differentiate 28 + k + 2717*s**2 - 2686*s**2 with respect to s.\nAnswer: 62*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -38. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1637, -1638, -1641, -1646?\nAnswer: -1653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**2\/3 - 1940*n\/3 - 470450\/3 = 0.\nAnswer: -485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d**3 + 4*d**2 - 4*d + 2. What is y(2)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-9))\/((-2)\/(-3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, a: 4}. What is prob of sequence rara?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 949*n**2 - 949*n**2 + 10*n**4 + (-4*n + 0*n + 2*n)*(42*n**2 - 4*n**3 - 45*n**2 + 28*n**3) in the form u*n**4 + z*n + j + d*n**2 + f*n**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (127 - 53 + 78)*(2 + 0 + 0)*(-262 + 88 - 135)*(2*r**3 + 1 - 1) to a*r + l*r**2 + i + j*r**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.168 - 0.346. Round u to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/((-2)\/(-2) + -2). Suppose w = -4*f - z, f + f + z = -2. Suppose -4*c + 34 + 6 = f. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-18)*2)\/((-3)\/9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 212608 and 1510?\nAnswer: 1063040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 848*w - 278*w - 108*w**2 - 293*w + 32 - 277*w to the form l*w**2 + b + m*w and give l.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 17 = -2*j, -131*a - 14*j = -126*a + 59 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2005255.\nAnswer: 5, 7, 23, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-2)*160\/24)\/2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 6*f - 20 = 0. Solve -f*z = 2*y + 16, 5*y = -3*z - z - 16 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28.2266 - 15.213. Let p = 471 + -458. Let l = k - p. What is l rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -100*i**2 + 101*i**2 + i + 4 + i + 0*i. Calculate m(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31412 = -278*f - 33358 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -440597*w**4 + 3441*w**2 + 19*w.\nAnswer: -10574328*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (-1 + 0 - -5). Let a(x) be the first derivative of 2*x**3\/3 - x**2 + 3*x - 3. What is the units digit of a(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 15*u**2 + 399*u - 113. Give n(-14).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**4\/6 + 19*d. Let j(v) = -2*v**2 - 3*v + 239. Let n(o) = o**2 + 2*o - 234. Let a(k) = -2*j(k) - 3*n(k). What is a(x(p))?\nAnswer: 4*p**4 + 224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2025 - 5?\nAnswer: 2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 76\/18 - 10\/45. Suppose i*j + 1 = 5*j - 4*t, j + t = 6. Solve j*x + 25 = 3*z, -2*x = 3*z - 14 + 3 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11, -5, -2\/105?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -4, 141, 456, 995?\nAnswer: 1812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 37*i - 2. Give j(-1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c + 8 + 0 + c. Let d be ((-8)\/(-3))\/(4\/(-6)). Let z(j) = -j - 4. Let v be z(d). Calculate m(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from apwappwwaaaawpawwwp.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39.9 - -41. Let k = -2526.1 - -2374. Let q = 152 + k. What is the nearest to -0.1 in 1, q, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0*g = 5*k + 53, 3*k + 2*g + 36 = 0. Is 110\/(-3)*15\/k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence isss when four letters picked without replacement from sxwid.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -169.752 + 170. Let j = o - 0.148. Let t = 3.04 - 3. What is the closest to -1 in t, j, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 350446 and 1372466.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -0.5996216732.\nAnswer: -3.5996216732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 92\/(-24) + (-1)\/6. Let b = g - -8. Suppose 2*a - 69 = -21*a. Solve -a*m - 5*n + 40 = 0, -m - b*n + 15 = -2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*u + 4819 = 238*u - 1161 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/403 and (-8530)\/17108 + 166\/3901.\nAnswer: 5642","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1107930*c**4 + 4*c**3 - 2*c**2 + 12*c + 71591?\nAnswer: -26590320*c + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2632\/43 greater than or equal to 62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21129 = 5*g - 2*h, -3*g + 2*g = -2*h - 4221. Let d = g + -1670. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 19*q + 119. What is the remainder when 103 is divided by i(-23)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.934 + 0.066. Which is the closest to 0? (a) j (b) -1\/7 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*y**3 - y**3 - 226*y**4 + 236*y**4 - 7*y - 3*y + 2*y**3 to the form h*y + p + l*y**2 + k*y**3 + b*y**4 and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 207508579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x*x**(-3)))\/x**8)\/((x\/x**(2\/43))\/(x\/((((x*(x*(x*x**(5\/2)*x)\/x*x)\/x)\/x)\/x)\/x))))**(8\/9))**(-1\/4) assuming x is positive.\nAnswer: x**(641\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1192 and 4.053?\nAnswer: -4831.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 110 - 117.7. Let t = x + 8. Let i = -12 - -12.4. Put i, t, -0.3 in increasing order.\nAnswer: -0.3, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5429*w = -5394*w + 315 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 267*w**3 - 80*w**2 - 6*w + 2. Let t(l) = l**3 - 2*l**2 + l. Let i(v) = -c(v) - 6*t(v). What is the third derivative of i(k) wrt k?\nAnswer: -1638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4497871 to the nearest integer?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 440 divide 61073869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**3\/4 + 6*k**2 - 21*k + 20 = 0.\nAnswer: 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/2, 12, -3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.2 (c) 1085 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -2*g**3 - g**2\/2 + 4*g - 25. Give x(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 444436001, 444436003, 444436005, 444436007, 444436009, 444436011?\n\"Answer: 2*s + 444435999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(130)*6*-5)\/((sqrt(30) + -2*sqrt(4320))\/((1*sqrt(18))\/sqrt(6))).\nAnswer: 60*sqrt(13)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 8:57 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 6*b + 7*b)*(5 - 7 + 0) + (-2 + 2 - 2*b)*(5 - 1 - 3) + 3*b - 2*b + 0*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4833*d + 1 + 14229*d - 4698*d - 1 - 5254*d.\nAnswer: -556*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(125)*3)**2 + (sqrt(125) - (sqrt(125) + (sqrt(125) - (3*sqrt(125))**2) + 2)).\nAnswer: 55*sqrt(5) + 2252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 776322 (base 15) to base 13.\nAnswer: 124343c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -14*i**3 - 196*i**2 + 1744*i + 24417. What is j(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -27287128?\nAnswer: -27287133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 85, 87, 83, 67, 33, -25, -113?\n\"Answer: -n**3 + 3*n**2 + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 v, and 2 f when four letters picked without replacement from vffffgv.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 265\/3, -4, -1686.3?\nAnswer: -1686.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o + 1 - 1)*(0*o + 0*o - o) + 3*o**2 - 3*o**2 - o**2 + (-1 + 3*o**2 + 1)*(2170 + 1811 + 1738 + 10570 + 6369) to n*o**2 + y + v*o and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40692 divided by 1.\nAnswer: 40692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60 - -87. Let m be -1 + (2 - 4) + -27. Let q = 57 + m. Calculate the greatest common divisor of q and k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -8\/13*u**4 + 0 + 7\/65*u**5 + 32\/39*u**3 + 8*u**2 + 0*u - 1\/156*u**6. Factor i(t).\nAnswer: -2*(t - 4)**2*(5*t - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -364472 or -364469?\nAnswer: -364469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 11453.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 42 = 2*j + 2*o, -2*o = 2*j + 24. Let x be 3\/4 + 69\/(-12) + 3. Sort j, -3, x in descending order.\nAnswer: x, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 - 6\/6 - -2265 is divided by 254.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.04 + -0.04. Let x = 3 - m. Which is the third biggest value? (a) -2 (b) x (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 4. Let z be m(-4). Suppose -b - b = -z. Suppose -3*g - 9 = 0, 0 = 2*u - b*u - 5*g - 5. Solve 2*p + v + 0*v - 1 = 0, u*v - 5 = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34217 - -62713. What is the thousands digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14261\/298 greater than 48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3504 and 300.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -412 - -1237\/3. Find w such that z*w**2 + 4\/3*w + 1 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 345140937*f*s**2 + 11*f*s - 10*f - 145102 wrt s?\nAnswer: 690281874*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -68609 bigger than -68608?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(136)*1)\/(4*(sqrt(2) - (sqrt(128) - 1*sqrt(128)))))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - t**2 + 3*t + 2. Let h = -6 - -6. Suppose m - 1 + 3 = h. Let o be d(m). Solve o = -2*v - 0*v - 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168321860 and 343.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(0*h**2 + 0*h**2 - h**2)*(-h + 1 - 1).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/9 + (-165)\/(-500)*-2. Let n(r) be the third derivative of -1\/120*r**4 + 0 - y*r**5 + 1\/15*r**3 + 0*r - 9*r**2 + 1\/600*r**6. Solve n(h) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.202 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 21 + 1 = -2*p, -v - p + 4 = 0. Let z(m) = 4*m**2 - m + 2. Let t(y) = -5*y**2 + y - 2. Let h(s) = v*t(s) + 6*z(s). What is h(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 12 = -15. Suppose -5*f + 13 = 2*b, -b = -4*b - p. Solve -5*x - f = -8 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101121 + -120111?\nAnswer: -222002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -g + 24. Let x = g + 183. What is the remainder when x is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359123603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 4:40 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -177*n - 531. Let l be s(-3). Suppose -a + 3*a = -4*h + 12, 4*a - h - 6 = 0. Solve l = -a*f + 4*u - 10, -f + 4 + 15 = 4*u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17483 + 17479. Let s = 13.95 - 14. Put i, 5, -1, s in ascending order.\nAnswer: i, -1, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42229 + 11*s - 42229.\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -12859.7, -5\/7, 0.2 in descending order.\nAnswer: 0.2, -5\/7, -12859.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 731.9289 rounded to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/1)\/(-1*10\/10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 4:46 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -98.1 - -98. Let d = 263\/160 - 27\/32. What is the third smallest value in -2, 3, g, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016473921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -13*d**6\/120 + 2*d**5\/3 + 329*d**4\/12 + 41*d**2 - 10. What is the second derivative of y(s) wrt s?\nAnswer: -78*s + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*s - 7*s + 31*s - 7*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o - 41*o + 78*o + 85*o.\nAnswer: 130*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*d + 251 - 207. What is the third derivative of -148*m**d - 17214*m**2 + 17188*m**2 - 178*m**4 wrt m?\nAnswer: -7824*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - (54 - (91 - 85)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 53?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14426664.\nAnswer: 2, 3, 7, 79, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*x**5 + 65*x**4 + 570*x**3 + 1060*x**2 + 280*x - 480 = 0. What is x?\nAnswer: -2, 1\/2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from ugguggujuujuj?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94417, 94440, 94461, 94486, 94521, 94572?\nAnswer: 94645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5098905986 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 735875\/4 + -183040. Let k = 908 - t. Let z = 22099\/190 - 2436\/19. Find the common denominator of z and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5da38 (base 15) in base 13?\nAnswer: a6304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -5, 1, 3.\nAnswer: -5, -1, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 76470330 and 24.\nAnswer: 305881320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - c - 2*c)*(44*c + 54*c - 87*c)*(5 - 4 + 1).\nAnswer: -44*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, w: 1, o: 5, u: 1, j: 1}. Give prob of picking 1 u, 1 j, and 1 w.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/(-12)*(-210)\/(-8) and (33\/88)\/(11\/(-76)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**3 - 5*a**2 + 2*a + 4. Let l be c(2). Suppose 2*z - l*z + 8 = 0. Solve -z = -3*h + 4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 3*j - j)*(6 + 0 + 2).\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -0.06, -3\/5, 222?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -2668056\nAnswer: -3\/889352","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 7*z**2 + 2*z + 1. Let k be a(-1). Let q(y) = y**2 - 8*y + 14. Let c be q(6). Suppose c*w + 2*j = 18, k*j - 2*j = 5*w - 36. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -12*w + 9. Let s be (0 - -3)*(0 + (-4)\/3). Is 19 a factor of l(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2899 + 3372. Calculate the least common multiple of z and 602.\nAnswer: 6622","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - -2)\/(6\/(-12)). Solve 3*x = w - 6, 2*w + o*x + 8 = -10 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 674 divided by -1123\nAnswer: -674\/1123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -3, -0.2, -5, 193.\nAnswer: -5, -3, -0.4, -0.2, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-6*((-3*sqrt(15)\/sqrt(5) + sqrt(3) + 1*sqrt(9)\/sqrt(3))**2 + -5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - k**2 + 1. Let v(c) = c**3 - 4*c**2 - c + 4. Let y(p) = 4*p**3 + 2*p**2 - 5*p + 3. Let l be y(1). Determine l*r(o) - v(o).\nAnswer: 3*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r**2. Let j(d) = 830039*d**2 - 2. What is j(h(l))?\nAnswer: 40671911*l**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2272465.\nAnswer: 5, 13, 34961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1574160 rounded to the nearest ten thousand?\nAnswer: -1570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**6\/(g*g**(1\/6)))\/(g**(-2))**(-4\/29) assuming g is positive.\nAnswer: g**(793\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/42 and -41\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 5)*(0*y - 4*y + 3*y) + (-3*y + y + 5*y)*(135 + 119 - 190).\nAnswer: 194*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 2*s + 5 = 0, -2*k = 11*s - 1155 + 1138 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.410398896 to 1 dp.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 8*l**2 - 5*l + 7. Let q be b(-6). What is q rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 101910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -107 + 4*g + 105 - 5*g. Give f(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, h: 3, k: 9, w: 1}. What is prob of sequence kky?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2448) + 4 - (sqrt(2448) + 1 + sqrt(2448))*3) + -4 + (sqrt(2448) - (1 + sqrt(2448))*4)**2.\nAnswer: 240*sqrt(17) + 22045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -12540284000 to the nearest one million.\nAnswer: -12540000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4\/25 (b) -4.8 (c) 3 (d) -0.75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*q**3*x**2 + 92*q**3 - q**2*s*x + 43*s - 254*x**2 wrt x.\nAnswer: -10*q**3*x - q**2*s - 508*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -449701*z. Let c(g) = -34*g. Determine c(i(j)).\nAnswer: 15289834*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 571911 + 32?\nAnswer: 571943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 298574 and 1194296?\nAnswer: 1194296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 129 + -127. Differentiate 25*y + 76 - 42 - p*y**4 + 11*y with respect to y.\nAnswer: -8*y**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -394 take away 0.07691?\nAnswer: -394.07691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31297 and 544.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61 + -59. Suppose -w - c*n = 3*w - 2, 2*n - 2 = w. Let d be (1 - w\/(-3))\/(-1)*-113. What is d rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -3*b - 4*u + 7*u, -b - 2*u = -39. Suppose 0 = -l + 4, 36*h + 4*l - 705 = b*h. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**3 + 6*m**2 - 5*m - 11. Let n be t(-6). What is the greatest common factor of n and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*a = -105, -3*r + 4*a + 68 + 19 = 0. Let q = r - 13. Solve 0*u + 3*l + q = -5*u, -l = -2*u + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5072 divided by -8\nAnswer: -634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 98 - -152. What is the hundreds digit of (2 - q\/15)\/(6\/(-99))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -18. Suppose -108 = -r*q + 136. Suppose 2*n - 4*w = n + 24, -2*n - 5*w + q = 0. Calculate the remainder when 81 is divided by n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 + 27)\/(2 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264 = -10*i + 51 + 225 for i.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2866639404 and 916?\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide ((-120)\/(-25))\/(1\/(-3840)*-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 3 = -3*y. Let z(m) = 493*m - 3 - 491*m + 2*m**2 - m**3 + 6. What is z(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 35721 + 0?\nAnswer: 35721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = l - 0*l - 14, -10 = -4*f + 3*l. Suppose -n - 3*n = -f. Let z(p) = p**3 + 2*p**2. Let y be z(-2). Solve y*v + v = -n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1450631 and 839?\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 57*d**2 + 118*d + 18. Determine a(55).\nAnswer: 458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -u**4\/12 + u**3\/6 + 59*u**2\/2 + 2*u. Let j be x(0). Let w = j - 3. Calculate the greatest common divisor of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a century in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 + 42. Let a(f) = -f**3 + f**2 + 2*f - 4. Calculate a(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 11410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + -24 - -52 - 34.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -148 - -3?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 7*i + 4. Suppose 6*r = 5*r + 3. Suppose 15 + 3 = r*h. Is k(h) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 7*c**2 + 4 + (-c + c + c)*(-2*c - 3*c + 3*c) - c**2 - c**2 + c**2 + 3*c**2 - 4*c**2 - 3*c**2)*(-c + 0*c - 2*c).\nAnswer: 42*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -363\/2960 + -12\/185. Sort l, 18, -2 in increasing order.\nAnswer: -2, l, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9216064 a multiple of 494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9717, -9763, -9813, -9855, -9877, -9867?\n\"Answer: 2*i**3 - 14*i**2 - 18*i - 9687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*x - h + 53, -20 = -5*h. Let w(a) = -2*a**3 - 7*a**2 - 9. Let y(s) = s**3 + 3*s**2 + 4. Let p(u) = x*y(u) - 4*w(u). Let p(o) = 0. Calculate o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 6*y**2 - 2*y. Let d = -10339 + 10455. Calculate the lowest common multiple of d and n(-6).\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 5:06 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 31*n + 10. Suppose 155*s = 247*s - 184. Let h(y) = -6*y - 2. What is s*j(b) + 11*h(b)?\nAnswer: -4*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -100111111000100110 (base 2) in base 4?\nAnswer: -213320212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 8*i - 127. Determine o(17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24*(-10)\/480*62.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) - (-5*(sqrt(245) + sqrt(245)*-1) - sqrt(245)))\/sqrt(7))\/(-1*(sqrt(35)\/sqrt(5) + sqrt(7))*3) + 2.\nAnswer: -sqrt(5)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8604 divided by -18.\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiicciiiii. Give prob of picking 2 i and 1 c.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/26000 and -109\/208.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-167)\/11 + (-20)\/(-110). Let c(q) = 5*q - 15. Let t(n) = -1. Determine o*t(d) + c(d).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 10, 39, 88, 163?\nAnswer: 270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 87750 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -1\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/7)*i**(2\/3))\/(i**(2\/5))**(-29) assuming i is positive.\nAnswer: i**(1243\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 499 is divided by 111.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 5)*(-2*g + g - g) + (-3890 + 3890 - 69*g)*(3 + 0 - 1).\nAnswer: -150*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -274 - -274.141. Let i = 0.259 + f. What is the nearest to 4\/5 in -3, 1\/2, i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*(x**(-7)\/x)\/x*x**(7\/6))**41 assuming x is positive.\nAnswer: x**(-1435\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/23)*w**(-2\/19)\/w*w assuming w is positive.\nAnswer: w**(-8\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -1\/2, 104 in decreasing order.\nAnswer: 104, -1\/8, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*4*(sqrt(75) + -1 + -1)**2 + 2.\nAnswer: -480*sqrt(3) + 1898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -0*w + 3. Let n(b) = -19*b**3 - 5*b**2 + b - 3. Let i(y) = 3*y**2 + 7 - y + 9*y**3 - 5 + y**3. Let h(m) = 5*i(m) + 3*n(m). What is h(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-2)\/(-6)*-1). Suppose -n*m + 4 = -2*m. Suppose 5*k + 2*k = 84. Calculate the highest common divisor of m and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-102 - -121 - (4 + 28) - -20) + (1 - 42).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 n when three letters picked without replacement from fjunrenu.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -3d85?\nAnswer: -3d84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 r, and 1 j when four letters picked without replacement from {j: 5, r: 4, h: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -54 + 91 + -37 + 1 + (0 - -1) + -35\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 156584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-8))\/((-1)\/9). Suppose 0 = 8*y - 13*y. Is y + z\/(-3) - -76 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2409.4 - 2409. Let q = -8 + 8.6. Which is the closest to q? (a) 5 (b) -0.2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 3*a**2 + 2*a + 3. Let b(y) be the first derivative of y**4\/4 + 5*y**3\/3 + 2*y**2 + 5*y + 3. Let z be 1*-20*8\/32. Calculate z*w(o) + 3*b(o).\nAnswer: -2*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/7 - 180*n**2\/7 + 5016*n\/7 - 44528\/7.\nAnswer: 2*(n - 46)*(n - 22)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 3 (c) -5\/2 (d) 29\/68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**3 + 41*d**2 + 16*d - 13. Let o be a(14). Put o, -5, 22 in descending order.\nAnswer: 22, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 4:16 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4322.20839896 + -4323.6084. Let i = -1.4 - d. What is i rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5163090 divided by -118.\nAnswer: -43755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-49) - ((-663)\/170)\/(2 - -19).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 38796*y + 2120. Let u(s) = -952*s - 52. Let q(h) = -13*t(h) - 530*u(h). Let z(r) = -8*r**2. Calculate z(q(d)).\nAnswer: -359552*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -l**2*t**2 - 2409*l**2*t + 2698*l**2 wrt t?\nAnswer: -2*l**2*t - 2409*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31021 (base 4) to base 16.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 80779 = -5*c, 76*c - 78*c + j + 32309 = 0. Does 37 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 80*x + 1. Suppose -85 = -382*d + 297*d. Give n(d).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h. Suppose -5*a + z + z = -6, -a - 5*z = -12. Let x = 26 - 25. Suppose 1 = -3*w + 3*v - a, -w + x = -3*v. Let b(r) = -r. What is w*k(c) + 3*b(c)?\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - (-76)\/24) + 4\/(-24). Let m = 7 - 5. Suppose 1 = m*j - 3*f, 0 = -3*j + h*j + f - 21. What is the greatest common factor of j and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -466335, -466338, -466341, -466344, -466347?\nAnswer: -466350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 195328222.\nAnswer: -39065644.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1221 (base 13) to base 11\nAnswer: -1a1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -60 + 527. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1690749\/17 equal to -99457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -135, -1, -0.167, -2\/13 in increasing order.\nAnswer: -135, -1, -0.167, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -912, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4 + 175*h**3 - 89*h**2 - 88*h = 0. Calculate h.\nAnswer: -88, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a meter in centimeters?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40352 and 60732864?\nAnswer: 3104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5287.\nAnswer: 17, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 480231 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2\/19)*f\/((((f**(-12)*f)\/f)\/f*f*f*f)\/f))**50\/(((f**1\/f)\/f)**(-14\/9)\/(f\/((f**(-1)*f)\/f*f))**(-8\/3)) assuming f is positive.\nAnswer: f**(109528\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + (-5 + (5 + sqrt(180) + sqrt(180) + -1 - (sqrt(180) + -4*(1 + sqrt(180)))) + -5)**2*-2).\nAnswer: -36048 + 960*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55562.\nAnswer: 2, 13, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 10 = 5*q, -3*q = -4*a - 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2225, 4459, 6729, 9053, 11449?\nAnswer: 13935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**(-1\/2))\/p**6)**(-14\/13) assuming p is positive.\nAnswer: p**(49\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62.96 - -60.06. Which is the second biggest value? (a) -6 (b) -4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (26\/(-4))\/((-3)\/(-1 + -35)). Let l = v - -100. Let f = -122 + 209. What is the remainder when f is divided by l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**3\/9 + 5074*z**2\/3 - 5182180*z\/9 + 2276144 = 0?\nAnswer: 4, 353, 7254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 8:26 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 5:48 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 127, -5, 4, 2745 in descending order.\nAnswer: 2745, 127, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 - -209. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68495510\/9 - 7583762. Let n = m + -26788. Let g = -62 + n. Which is the biggest value? (a) -1\/4 (b) g (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a**3 - 16*a**2 + 7*a - 25. Is o(7) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32661 is divided by 778.\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -390 + 1092. Calculate the highest common factor of 54 and y.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(3\/45*-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 3*v**2 - 8661*v + 34596 = 0.\nAnswer: 4, 2883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5362, 21390, 48084, 85438, 133446, 192102, 261400, 341334?\nAnswer: 431898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1366524 by 46.\nAnswer: 683262\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*t + 57 = -293 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (119\/(-4))\/(((-52030)\/968)\/215)?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**5)**(-17)*r**(-2)*r\/r**(-11) assuming r is positive.\nAnswer: r**(-75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 121 (b) -1\/20218 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 9) to base 12\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**3 + 4*f**2 + 6*f. Let x be p(-3). Suppose -33*l - x = -37*l. Suppose 2*b + l = 2*t - 0*b, 4*b = -5*t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**3 + 65*p**2 + 4488*p - 291852 = 0 for p.\nAnswer: -67, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -746, -2993, -6730, -11951, -18650, -26821?\nAnswer: -36458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.41 and -0.9324.\nAnswer: -1.314684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.9 + 0.9. Let m = -5 - f. Which is smaller: m or 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*m - 155, -5*m = 2*t - 6*m - 300. Let p = -69 + t. Calculate the smallest common multiple of p and 4.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 11:03 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from dddbddbddddbdbbddbd.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41747.67 - 41927. What is q rounded to the nearest integer?\nAnswer: -179","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-2)*88\/(-1100)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = 5*k. Suppose -5*s + j + 1672 = k, -196 = -s - 4*j + 130. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h**2 + 476*h - 2287. Calculate g(114).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -3)*12\/159660. Let w = 245545661029\/279112290 - 9146804\/10489. Let v = y - w. What is the common denominator of -23\/28 and v?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 614652?\nAnswer: 1843956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, j: 1, p: 1}. Give prob of picking 1 j and 2 i.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -2.61434496.\nAnswer: 0.38565504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s\/(s*s**(-3\/5)\/s))\/s)\/s**(-11\/4))\/(s**0*(s*s**(-28)\/s)\/s) assuming s is positive.\nAnswer: s**(667\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-16)\/24*(3 + -7 + 0).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 61792381 - -2189554\nAnswer: 63981935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 5*t**2 + 5*t + 7. Determine i(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -54. Let c be (-30)\/(-70)*(2 + -3 - -8). Suppose 108 = u - 5*n + 14, 325 = 4*u - c*n. Calculate the remainder when u is divided by d.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + h + 29 + 4*h - 26 - 3*h. What is k(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 530738 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1009*f + 508*f + 503*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**6\/120 + 7*p**5\/60 + 5*p**2. Find the third derivative of f(o) wrt o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001220762 rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 5*j + 16. Let k(l) = 3*l**3 - 5*l**2 + 12*l. Let r(h) = -128642*h**2 + h**3 + 64315*h**2 + 64325*h**2 + 4*h. What is j*r(q) - 3*k(q)?\nAnswer: -q**3 - q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (-7)\/((-14)\/4). Let c be 4\/a - (-1 + 0). Let g = -54 - -54. Is g not equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2011101112 (base 3) in base 11?\nAnswer: -29a87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a hour?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 559*m = -562*m + 476, -4*d + 6*m = -512. Calculate the remainder when 446 is divided by d.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11.2 (b) 5 (c) 1 (d) -5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 59*k - 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-61768\nAnswer: 18530.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-10) - 184\/(-40). Suppose b + 338 - 16 = 3*v, 0 = -b - x. Suppose q - 5*a = 12, -3*q + 4*a + v = 3*a. What is the remainder when q is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(-3)\/(-27) + -10 + -1. Let g(c) = -c**3 - 11*c**2 + 2*c + 37. Let k be g(r). Suppose -16 = 2*j - 46. Do j and k have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2252758 + 0.5\nAnswer: 0.7252758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x. Let o(p) = -4*p**2 - 80*p + 19. Let u be o(-20). Let m(q) = 3 - 22 + u - 277*q. Calculate s(m(c)).\nAnswer: 277*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v**2 + 3*v - 19. Let q(l) = l**2 + 2*l - 1. Let u(n) = 2*q(n) - x(n). What is the hundreds digit of u(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**4 + 1832*b**3 + 121345*b**2 - 1832*b - 121344 = 0.\nAnswer: -64, -1, 1, 1896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 3:29 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -258 - 4*q - 71 - 189 - q + 3*q as f + h*q and give f.\nAnswer: -518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -169546*l - 847740. Calculate k(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -288 minus 38?\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*g - 49 = -3*b, -82 = -2*g + 2*b. What are the prime factors of g?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3 = -o + 6, 0 = 3*g - o - 16. Suppose -x - g*c = -10460, 3*x = -c + 2*c + 31428. Suppose x = -38*j + 43*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s - 5*s**3 - 20*s**3 + 10*s**3 + 12*s**3 - s**3. Let d(o) = 13*o**3 + 8*o. Determine -2*d(m) - 7*r(m).\nAnswer: 2*m**3 + 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35\/8 in 0, 4, 0.4, -0.13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5893.172um in millimeters?\nAnswer: 5.893172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) - (sqrt(500) + -1)*2)**2 + sqrt(500).\nAnswer: -30*sqrt(5) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-3) - (-4)\/((-36)\/(-339)). What is the highest common factor of b and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2422 = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2316666*m + 4. Let r be i(-6). What is r rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 325, -3361, -9505, -18107, -29167?\nAnswer: -42685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 22?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 30*q**2 + 3*q + 1. Let r be m(-3). Suppose r = -5*k + 82. What is k rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000100011011010011 + -10111011010?\nAnswer: -1000100110010101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 + 110*g**2 + 295*g + 190.\nAnswer: 5*(g + 1)*(g + 2)*(g + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 21*k + 14. Let a(g) = -3*g**2 - 26*g + 108. Let s be a(4). Is 54 a factor of n(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34607671 rounded to the nearest 100000?\nAnswer: 34600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-43*w - 363*w - 352*w + 112*w)*(1 - 2 - 1) to the form t*w + m and give t.\nAnswer: 1292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-2))\/((-77)\/56 - -1). Sort -1, -10, s in descending order.\nAnswer: s, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2314, 2329, 2354, 2389, 2434?\n\"Answer: 5*u**2 + 2309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16267\/4 - 8131\/2. What is the fourth biggest value in -2, -3, 0.2, 1, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**3 - 8*d**2 - 3*d + 112. Determine b(8).\nAnswer: 600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 80*p + 4. Let x be l(2). Let r = 186 - x. Suppose -3*w + 283 - 46 = 0. What is the remainder when w is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.08 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -23241 (base 5) in base 9?\nAnswer: -2284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three quarters of a century in months?\nAnswer: 21900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 11:54 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*n - 13*n + 20*n + 6*n + 1.\nAnswer: 43*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ys when two letters picked without replacement from {i: 1, h: 1, s: 1, e: 1, l: 2, y: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3726770?\nAnswer: 2, 5, 372677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.1 + 12.89. Let h = d + -13.67. Let v = 0.12 - h. Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 * 2.9.\nAnswer: 2.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*r**3 - 289245*r**2 - 28980*r + 318175 = 0.\nAnswer: -11\/10, 1, 5785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-208)\/(-12) + (89 - (-10725)\/(-117)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 980063 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, -634, 189 in ascending order.\nAnswer: -634, 87, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.045 in 0.5, -4\/9, -12, 22?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -20. Differentiate -4 - 17*q**s - 8 - 27*q**3 + 47 with respect to q.\nAnswer: -132*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -c**4\/4 + c**2\/2 + 15*c + 4. Suppose 4*l = -0*l. What is the remainder when 44 is divided by z(l)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) 1\/2 (c) -1\/4 (d) -3 (e) -2\/9 (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-1 + -3 - (3 - 6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - q + 4 = 0. Suppose -11 = 4*r + 5*k + 10, k = q*r - 9. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 8, -0.074, -4, -3\/4, 2.3, -2?\nAnswer: -0.074","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*n + 73574 = 74024 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -326*3*3\/18. Let r = -89 - m. What are the prime factors of r?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 737108.2ml to litres.\nAnswer: 737.1082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/11))**(3\/32) assuming a is positive.\nAnswer: a**(9\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -86435.49.\nAnswer: -172870.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bblv. What is prob of sequence bb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25024\/191 - 131. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5)*z**(-7))\/((z*z**0\/z)\/z*z)**(-50)*(z**1)**(-44)*z**(-2\/7)\/z**(2\/19) assuming z is positive.\nAnswer: z**(-7500\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 5 = -i + 2*y, 2 = 2*y. Suppose -4*l - 3*m - 34 = -m, -5*l + 5*m - 50 = 0. Let t = 13 + l. Solve 0*z - t*z = i for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25362, 101346, 227934, 405108, 632850, 911142?\nAnswer: 1239966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-685)\/20)\/((-3)\/228) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 2*w**3 + 0*w)*(-4*w**2 + 1 - 1).\nAnswer: 8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -4) + -10 + -3 + 4 + 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 866512 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -35*(-462)\/35*1.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, r: 1, j: 6, n: 1, g: 1}. Give prob of sequence cgcc.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62 and 4.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/9 (b) 5 (c) 1 (d) 2\/185\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0586 - 0.1092. Let x = 40.4506 + p. Let y = x - 40. What is the nearest to 0 in y, -2, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*l - 59103, -2*q - 7391 + 46773 = 3*l. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -h - 31 - 40, -4*h - 59 = -5*r. Suppose -4*x = -9*x + r. Let d be ((-14)\/(-8))\/((-2)\/(-8)). Solve 0 = -d*u + x*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2 = 8. Suppose 5*m + 7*y - 335 = d*y, -3*m + y = -201. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4*w + 43. Let j be i(10). Let v(m) = -j*m + 44 - 88 + 6*m + 43. Give v(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -5*d**3 - 10*d**2 + 5. Let x(a) = -2*a - 13. Let i be x(-10). Let u be c(i). Round u to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnhskkps. What is prob of picking 1 s and 1 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 7:45 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 185746753 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 e when two letters picked without replacement from {j: 1, e: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 5*t - 7. Let f be g(6). Let j be f + -1 - (3 - 3). Let i be 5 + j + -1 - 0. Solve 0*l + 5*n = i*l + 20, -2*n + 9 = -l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 6*t**2 + 8. Suppose 0 = -3*n - k - 20, 4*n - 3*k = 2*k - 14. Let c be y(n). Solve 0 = -6*i + 2*i + c for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -f**7\/840 - f**6\/120 + f**5\/60 - 5*f**4\/24 + f**3\/3 - 1. Let q(m) be the third derivative of k(m). What is q(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/102 - ((-1544145)\/29070 + 53).\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15668, 31378, 47088, 62798, 78508, 94218?\nAnswer: 109928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6850 is divided by 1370.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 56373, 112761, 169149, 225537, 281925, 338313?\n\"Answer: 56388*y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (385\/11)\/((-30)\/12)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -29.2. Let i = -11 - g. What is i rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 287e3 (base 15) to base 6\nAnswer: 2442010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**3 - 53*v**2 - 31*v + 90. Determine y(27).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -58158.\nAnswer: 17447.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 415.9487t in kilograms?\nAnswer: 415948.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001 (base 2) to base 10.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -26, -44, -84, -158, -278, -456, -704, -1034?\n\"Answer: -2*v**3 + v**2 - 7*v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrruruuuuuu. Give prob of sequence urr.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20722060 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzjc when four letters picked without replacement from yjmuzzcu?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3543 + -1649. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 229909400 to the nearest 100000.\nAnswer: 229900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (13\/(-3))\/(1\/3). Suppose -3*q + 72 = -0*q. Let r = q + y. Calculate the remainder when r is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - z = 5 - 4, -v + 5*z - 6 = 0. Let h = -2 + 4. Let r = h + v. Calculate the smallest common multiple of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 8. Solve 0 = p - y*p + 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/879216 and 74\/807357?\nAnswer: 167930256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 25*o**5 + 1015*o**4 + 13015*o**3 + 53705*o**2 + 48620*o - 28900 = 0.\nAnswer: -17, -5, -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57741006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -73.1?\nAnswer: 219.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x - 11. Let n(i) = -948*i**2. Give n(y(h)).\nAnswer: -3792*h**2 - 41712*h - 114708","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-13)\/2 - -6)\/(1*(-3)\/6). Put 0, w, 33, -3, -5 in descending order.\nAnswer: 33, w, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1940424 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w**2 - 10*w - 16. Let n(f) = f**2 - 14*f + 16. Let h be n(12). Let i be v(h). Let q = -182 - i. What are the prime factors of q?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -4*u + 2*s, 2*s - 30 = 2*u - s. What is the units digit of (-3)\/u + 139\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*(sqrt(12) + -4*sqrt(12)*-1)\/sqrt(4).\nAnswer: -4 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2564 at least as big as 2704?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 7:23 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*a + 2 - 13*a - 8 - 3 to h + j*a and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 + 0)*(-4 - d + 4)*(2*d - d - 2*d) + 2*d**2 + 0*d**2 + 3*d**2 as l + q*d**2 + f*d and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, z: 2, w: 2, k: 4}. What is prob of sequence kkki?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (15 + -4) - (5 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-40)*(-496 - -504)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(-178)\/12 + 0. Let s(f) = -2*f**3 + 37*f**2 - 109*f + 991. Let o be s(17). Sort 0.2, r, o.\nAnswer: r, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/8 + 75*i\/8 - 71\/2.\nAnswer: -(i - 71)*(i - 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -29312 divided by 916\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2502339978 a multiple of 4894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 2 (c) 9.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -102 - -112 - (10 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1)**(-1\/21)*((((((p**(3\/2)*p)\/p*p*p)\/p)\/p)\/p)\/p)\/(p*p*p\/(p\/p**6))*p**(2\/25)\/(((p*p**4)\/p)\/p)*(p**(-1\/2))**(-3\/26) assuming p is positive.\nAnswer: p**(-311491\/27300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -f**4\/22 + 2*f**3\/11 - 1. Let t(x) = 0. What is x?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 48, 5, 2, -3, -37 in increasing order.\nAnswer: -37, -3, 2, 3, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6748521889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 37 = -5*i + 52, -5*c - 3*i + 9 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/sqrt(768)*-3 + (-2 + sqrt(405) + 1)**2.\nAnswer: -147*sqrt(5)\/8 + 406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15 - 13 - 49*a - 101 - 39*a wrt a.\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 - 25. Suppose -4*b + 28 = -5*t, -3*b + 15 + 6 = -3*t. Calculate the highest common factor of b and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -773 - -675. Let n be h\/(-28)*(-150)\/(-21). Solve -z - i = 6, 7*i = 2*i - n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/3 - 6337*a + 38010.\nAnswer: (a - 19005)*(a - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -545*n**2 + 3*n. Let m(y) be the third derivative of -y**4\/12 - 4*y**2 - 254. Determine m(b(g)).\nAnswer: 1090*g**2 - 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*9\/348*1*(-28)\/21?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2135443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 20. Suppose 0 = n*k - u + 439, u + 178 = -2*k - u. Let x = -61 - k. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2375 = -304*h - 1881 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -h + 485250. Let n = -151625 + h. What is n rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 14832?\nAnswer: 14832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 26*c. Let u be g(-1). Let y = -16 - u. Suppose -d = -7 - y. Calculate the remainder when d is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 2*g + 218, -367*r + 193*r + 211 = -171*r + 5*g for r.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 880, 1778, 2676?\nAnswer: 3574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 11*y**3 - 765*y**2 - 374*y + 1658. What is m(70)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = m - 2. Does 16 divide (m\/3)\/((-8)\/(-384))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 85.88 - 1.88. Let u = c + -84.0000067. What is u rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 112683167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2403\/4*f**3 + 15876*f + 4779*f**2 + 3\/4*f**5 + 69\/2*f**4 + 11664 = 0.\nAnswer: -12, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 490 + -492.19. Let z = y - -2.2. Suppose -4 = 2*i + 2. Which is the second biggest value? (a) 2\/15 (b) i (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1\/18 (b) -0.1 (c) 9029 (d) -0.07 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -105, -3, 5 in decreasing order.\nAnswer: 5, 2, -3, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4257353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -115 - -72451\/630. Let l(c) be the third derivative of -1\/360*c**6 - 1\/180*c**5 + 0*c**3 + 2*c**2 + 0*c + f*c**7 + 1\/72*c**4 + 0. Factor l(n).\nAnswer: n*(n - 1)**2*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 6. Let t(y) be the second derivative of 0 + 17\/2*y**2 + 1\/2*y**3 - 36*y. Let z = 9 - 15. Determine z*t(m) + 17*f(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(sqrt(6)\/sqrt(2)) - (-5 + sqrt(6)\/sqrt(2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 0*b = -20. Let z = -3265 + 3269. Suppose -z*g + 2375 = -b*s + 3*s, s + 2968 = 5*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -n**3\/3 - 4*n**2 - n + 1. Let l be q(-7). Find the common denominator of -31\/8 and (2\/24)\/(l\/(-657)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 38 = -3*r, 5*c - 36*r = -34*r + 99. Solve j = 12 - c for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/4)\/x*x)\/(x**3\/x)*((x*x\/(x\/((x**0\/x)\/x)*x)*x*x)\/x*x)**(-5\/12))\/((x\/(x*x**(-1)))\/(x**(1\/4)\/x)*x*x**(2\/5)*x\/x**(1\/3)*x*x) assuming x is positive.\nAnswer: x**(-121\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 r when four letters picked without replacement from wfdhfwwrrwwr?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.1 + -2. Let d = -5988.98 - -5919. Let g = d - -70. What is the nearest to h in 0.4, -1\/4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 divided by -8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000060091681 to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1748 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -32*d - 22 - 37*d + 118*d - 44*d. Let h(a) = 5*a**2. Let n be h(-1). Let g be p(n). Solve 9 = -0*i - g*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.587, -14\/5, -2\/13 in ascending order.\nAnswer: -4.587, -14\/5, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -10 - -3 - (4 - 3). Let o(b) = -b**3 - 7*b**2 + 4*b + 6. Let r be o(z). Let t = -35 + r. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 2260\nAnswer: 1\/452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-33)*((-8)\/(-36) - 16\/(-9))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6150215651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 425 and 3325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 1. Let r(a) = a**3 + 4*a**2 - 2*a + 2. Suppose 2*k = 4*o - 14, 0*k + 5*k = -25. Let b(u) = o*r(u) - 3*f(u). Determine b(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 416, 1680, 3788, 6740, 10536, 15176, 20660?\nAnswer: 26988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y + 86*y**2 + 81*y**2 + 3*y**4 + 84*y**2 - 253*y**2 - 5*y**3 + 2 + 3*y**3 as x*y**2 + t*y**4 + w*y + v*y**3 + p and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(77) + (sqrt(77) - -4*(sqrt(77) + (sqrt(77)*2 - sqrt(77)))))\/(sqrt(176)*2 - sqrt(11)))**2.\nAnswer: -20*sqrt(7)\/7 + 107\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 7. Let k(o) = -7*o + 343. Let m(d) = -2*k(d) + 98*z(d). Let b(y) be the second derivative of -y**4\/12 - y. Determine m(b(u)).\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.223 take away 0.09?\nAnswer: -0.313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**5 - 581267*f**4 + 3051789*f**3 + 3923638*f**2 - 8138020*f + 1743864 = 0. Calculate f.\nAnswer: -145322, -2, 1\/4, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*i = 38, -4*i - 4 - 10 = 5*a. Does 11 divide (21\/a)\/(-7)*64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 582256 - 1432*w**3 - 582256 + 1435*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1177 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 9. Suppose -4*f + 2*a = -10, 5*f - a - 4*a = 20. Let b = -6 + 5. Put p, b, f in decreasing order.\nAnswer: p, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 802185 is divided by 10027.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 10*g**3 + 103*g**2 - 62*g - 143. Determine o(-10).\nAnswer: 777","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -567709*j**3 + 63630*j.\nAnswer: -3406254*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2723.808ml?\nAnswer: 2.723808","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Total of 157.2 and 21131269.\nAnswer: 21131426.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 5*l + 1184, 3*d - 217 = 5*l + 636. Suppose -o + 4*o = d. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-68)\/(-36) - (-8)\/(-36)) + -1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 82 + -80. Let d(n) = n**2 - n. Let b be d(k). Suppose -b*x + 0 = -c - 13, 2*x + c - 23 = 0. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -0.0212174.\nAnswer: 0.106087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -33*c**3 - c**2 - c + 1. Determine h(1).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2168*m - 2*m**2 + 2161*m - 6491*m + 2162*m + 9*m**2.\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-3 + 0 - -14) + -10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 + 92*g**2 + 196*g + 100.\nAnswer: -4*(g - 25)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12552 (base 7) in base 11?\nAnswer: 2593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 2*s - 3*n + 3 - 21, 95*n + 45 = 6*s + 92*n for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 2000.86mm?\nAnswer: 2.00086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -2 + -5 - 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 1:40 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 266, -4, -2\/7, 1, 18, -2\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, -0.04, -0.4, -3 in ascending order.\nAnswer: -3, -0.4, -0.08, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22311 + 34236?\nAnswer: 11625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 + -111?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 21 = 2*a. Calculate the lowest common multiple of a and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276 is divided by 65?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 873745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, z: 1, h: 2, g: 3}. Give prob of picking 3 g and 1 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -284 + -11466?\nAnswer: -1172a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 536716949 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 4:15 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -33*a. Let y(k) = -11*k. Let o(g) = -3*j(g) + 8*y(g). Does 4 divide o(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*r**5 - 60685*r**3 - 628322*r wrt r.\nAnswer: -80*r**3 - 364110*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -63*l + 241. Let m = -27 + 25. Put m, -0.06, l in increasing order.\nAnswer: m, -0.06, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7\/2 of a millisecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 168 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.849899 rounded to 2 dps?\nAnswer: 0.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -9.76. Let u = s + -18.24. Let c = -17.99999972 - u. What is c rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -4\/7 (c) -1\/3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/sqrt(8))**2 - (2*sqrt(3) + 0).\nAnswer: -2*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 v when two letters picked without replacement from {v: 1, r: 4, f: 2, e: 2, a: 6, i: 3}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.1, 0.8, 2, 30?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 441229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 5*j - 33, -2*j + 2*w + 26 = 4*w. Let p = j + -6. What is the remainder when p is divided by 1\/(5 + -4) - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 12*w - 6724 = -89*w. Calculate the remainder when 347 is divided by w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9415040, 9415033, 9415030, 9415037, 9415060?\nAnswer: 9415105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1379776401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6*12\/27*(-6)\/4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q - 3. Let g be t(-4). Let b = 4 - g. Is 1 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b = -77 + 153. Let p(s) = -s**3 + 4*s**2 + 6*s. Let v be p(5). Put 3, -4, b, v in increasing order.\nAnswer: -4, 3, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b + 106. Let f be c(28). Calculate the lowest common multiple of 66 and (-928)\/f - (-13 + 287\/21).\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*m - 30 = 4*m, 0 = 3*n + 2*m - 5. Suppose -3*b - 37 = -5*p, -1 = -3*p + n. Let w = b - -13. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 253 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 1597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -101131?\nAnswer: 101200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.5 (b) -7\/102 (c) -0.3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**2 + 39 + 1272*c**3 - 61 - 2*c + 26.\nAnswer: 1272*c**3 + 7*c**2 - 2*c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10471 is divided by -35*((-213)\/45 - 1\/(-3)).\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**5\/2 - 510*d**4 + 11155*d**3 - 10130*d**2 - 22305*d\/2 + 10640 = 0.\nAnswer: -224, -1, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**2\/6 + 2641*w\/6 + 150059\/3 = 0. Calculate w.\nAnswer: -2522, -119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of p**8\/56 + p**4\/4 - 11*p**2\/2 - 17*p. Let w(h) be the first derivative of u(h). What is the second derivative of w(z) wrt z?\nAnswer: 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 + 68. Suppose -2*a + a + i = -5*j, j - 2 = -2*a. Suppose d + 4*l - 10 = 0, 0 = a*d - 2*d - 5*l - 46. Does 15 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-20)\/(-12))\/(0 + 15\/(-54)). Suppose -3*j - 4*d - 120 = 0, 2*j - 3*d = -j - 99. Put j, r, -1 in descending order.\nAnswer: -1, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -7\/15 (b) 0.1 (c) 0.5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 80*n - 2788530 + 602210. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 d when two letters picked without replacement from vdj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*3*2\/(-15). Let b(w) = -3*w + 5. Let s be b(0). Suppose 2*z - s*z + 54 = 0. Calculate the greatest common factor of h and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 14*i**3 - 7*i**3 + 3*i**3 + 13*i**3 + 10 + 2*i**4 as y + h*i**2 + j*i**4 + g*i + o*i**3 and give y.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 0*s + 0*s + (0 - 2*s + 0)*(-17 + 3 - 30))*(24*s - 16*s - 16*s).\nAnswer: -712*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53ae5 (base 16) to base 6.\nAnswer: -11202501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 4, 0.2, -2, -3\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*m**2 + 46*m**2 + 19*m**2 + (1 + m - 1)*(-m + 0*m - m))*(11 + 106 - 29) to the form i + v*m + s*m**2 and give s.\nAnswer: 4752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = b + 5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-6))\/(-4)*0. Suppose -3*x + o = 3*o - 111, 2*o = q. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2054 - -2059. Solve -b + 1 = -4*t - 3*p, -2*p + 16 = -4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1*(sqrt(304) - (sqrt(304) + 0)**2) - (-4*(sqrt(304) + (sqrt(304) - sqrt(304)*2)))**2))*6.\nAnswer: -24*sqrt(19) + 1794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (sqrt(77) - sqrt(77)*-2)*-4)\/(sqrt(1100) - (sqrt(1100)*-2 + sqrt(1100))).\nAnswer: 13*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, -5, -28, 0.5, -229\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 286963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 6.4. Let j be ((-1)\/(-3))\/((-1)\/(-30)). Suppose 2*s - j = -3*s. Sort z, s, -4 in ascending order.\nAnswer: -4, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**2 - 55578*w + 556080 = 0. What is w?\nAnswer: -18536, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**2*v - 2*i**2*y - i*v*y - 13*i*v + 13*y + 2 with respect to y.\nAnswer: -2*i**2 - i*v + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrzrzzhhzzzrzrz. Give prob of picking 2 z.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 4 + 4 - 7 = 5*m, 28*m - 64*w = -69*w - 18 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 27 = 62. Suppose -4*l = -2*v + 12, -2*v = 5*l - 6*v + 12. Calculate the common denominator of (2\/l)\/((-2)\/w) and -79\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12116087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 28*s**3 - 1036*s**2 + 532*s + 476. Let k(a) = -a**3 - a + 2. Let u(r) = i(r) + 20*k(r). Solve u(t) = 0.\nAnswer: -1\/2, 1, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*55\/(-135) - (1 + 0)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**3\/7 + 1863874*l**2\/7 + 3727756*l\/7 = 0.\nAnswer: -2, 0, 931939","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 13.4, 1, -9\/5, 4\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven eighths of a milligram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 0*f - 3*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 986216 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -361750667816.060167 - -361751268417. Let v = s - 600645.94. Let n = -45 - v. Round n to five dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/2 and 81\/71528816?\nAnswer: 71528816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -14*t. Suppose 4*r + 4 = t, -3*f - 3*r = f - 309. Calculate the least common multiple of f and 12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42369 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: In base 7, what is 3 + -2024?\nAnswer: -2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 g when three letters picked without replacement from {o: 7, g: 5}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3796095 is divided by 633.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -38*y**3 - 10032*y**2 - 3*y - 725. What is i(-264)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 46*i - 86. What is the remainder when 5032 is divided by v(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -79935*q**5 - 1107483*q**4 - 4728708*q**3 - 5820096*q**2 - 308352*q - 4176 = 0. Calculate q.\nAnswer: -6, -29\/5, -2, -2\/73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 611252.1676+-1534\nAnswer: 609718.1676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4857 + -14567\/3. What is the fourth smallest value in 3, z, 2\/9, 0.2, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55920251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2*i**2 - 2 + 7 - 6 to k*i + g + r*i**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/1)\/(18\/27). Let m(b) = -b**2 + 15*b + 3. Let t be m(g). Suppose -34 = -t*c - 10. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -522\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 490979429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.1 plus 157.6365438?\nAnswer: 153.5365438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -21*m**8\/8 + 443*m**4\/12 + 540*m. What is the third derivative of r(w) wrt w?\nAnswer: -17640*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 5, -0.376, 0.2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39292046*y**3 + 6*y**2 + 19*y - 29117 wrt y?\nAnswer: 235752276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -257019\/22 or -11682?\nAnswer: -257019\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7359.367 kilometers?\nAnswer: 7359367000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eobd when four letters picked without replacement from {d: 1, o: 7, e: 1, b: 3, q: 1}.\nAnswer: 7\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1601279 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (270\/594)\/((-10)\/4)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 145177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 99238, 396955, 893148, 1587817, 2480962?\n\"Answer: 99238*y**2 + 3*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(5)*-3*5 + (sqrt(25)*1)\/sqrt(5)*6.\nAnswer: 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 782949.8l in millilitres?\nAnswer: 782949800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1468, -1473, -1478, -1483, -1488, -1493?\nAnswer: -1498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 6*j**2 + 6*j - 4. Let y be b(-7). Suppose -v + 156 = y*p - 105, 2*v - 526 = -4*p. Suppose s + 178 = c + c, -s = 3*c - v. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -c - 55 + 32, 25 = 4*q + 5*c. Solve -7 = q*g + 13 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 0.1, 2\/9, 1.9, 0.2 in ascending order.\nAnswer: 0.1, 0.2, 2\/9, 1, 1.9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -102 - 60. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 20. Suppose -5*m + 2*x = -5309, 3*m - m = -n*x + 2118. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82260, -164561, -246862, -329163, -411464, -493765?\nAnswer: -576066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 13*f**5\/20 - f**4\/6 + f**2\/2 + 5*f + 160. Give h(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -33. Let s be (2 - 78\/36)*-4*6. Suppose 4*x - 40 = -s*z, z - 2*x - 7 = -0*z. Calculate the least common multiple of h and z.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -771?\nAnswer: -776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.4 (c) -32.1 (d) 3 (e) 0.5 (f) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 y when two letters picked without replacement from {r: 1, y: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 5*a = 11, 76*l - 71*l - 11 + 29 = -4*a + 10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17778235 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3631824 and 864.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m - 3*m = 4*k + 28, -3*k - 22 = -4*m for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2290573*i - 2290570*i + 63 = 0 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 309*d**5\/10 - 23*d**4\/12 + 3*d**3\/2 - d**2\/2 + 2030*d. What is the third derivative of p(v) wrt v?\nAnswer: 3708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -24*h + 9. Let g(z) = 71*z - 24. What is 3*g(f) + 8*w(f)?\nAnswer: 21*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9867345977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2976cb (base 13) to base 8\nAnswer: 3700603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -35111, -37409, -41239, -46595, -53471, -61861?\n\"Answer: u**3 - 772*u**2 + 11*u - 34351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.819886 + 0.7488819. Let s = -0.071 - w. What is s rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35401929001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (104\/(-182))\/((-12)\/14).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9 - -1)*(-12)\/(-8). Let a = 31.8 + 100.2. Let r = -134 + a. What is the second smallest value in -4, r, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 + 5*y**2 - 12623*y**3 - y - 4*y**2 + 12624*y**3.\nAnswer: (y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 128 + 18. Find the second derivative of s*y - 4*y**3 - y**3 - y**3 - 124*y wrt y.\nAnswer: -36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -0.7.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/468 and -155\/8736?\nAnswer: 26208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 3 = 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -720 + 713. Let l(b) = -2*b + 6. Let q be l(4). Put q, 3, f, 1 in decreasing order.\nAnswer: 3, 1, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*r + 18 = 65*r. Calculate the remainder when 67 - ((-88)\/66)\/(4\/6) is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 29 = 3*i - 2*z, i + 2*z - 6 = 0. Suppose -g + i - 4 = 0. Solve 0*a - 20 = -g*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 9:25 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 1 = m - 41, -3*l = 12*m - 10*m + 33 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271316 is divided by 57.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-54))\/((572\/(-66))\/(-26)). Is k < -12\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 - -44. Let x(c) = -11*c**2 + 6*c**z + 3*c**2. Let s(d) = -3 + d + 3. Calculate x(s(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 994*g**4 + 3*g**3 - 18*g**2 + 61*g + 66940118.\nAnswer: 3976*g**3 + 9*g**2 - 36*g + 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 3 + -7 + 4 + 4 + 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 63\/6 + (-10)\/20\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/6*-2)\/((-11)\/(-33))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -32*m**2 + m + 5. Calculate n(-2).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 42?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3367, -6754, -10145, -13540, -16939, -20342?\nAnswer: -23749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1891 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -3*s - 114. Let j(n) = -2*n**2 + 3*n - 4. Let k be j(3). Which is greater: s or k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 934 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 11:14 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -4*p**2 + 3*p**3 + 1\/2*p**4 + 9*p - 3. Let u be k(-7). Round u to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3084197 * 3.\nAnswer: 9252591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2870 - 2875. Which is the fourth biggest value? (a) -1\/3 (b) -0.5 (c) 3 (d) y (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -y + 4*y. Let b = 11128 - 11121. Solve 5*v - b*v + y = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 230442 - -131202?\nAnswer: 402044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xmkuuei. Give prob of sequence exk.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2 - (-2)\/20*-122 and -32\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -607 - -613. Suppose -251 = -p*m + 1. Calculate the remainder when 122 is divided by m.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - f - f + (2 - 2 - 2)*(4 - 4 - 2*f) - 1 - f + 1 - 3*f - f - f)*(2*f**3 + 0*f**3 + 3*f - 4*f**3).\nAnswer: 2*f**4 - 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jzzjzczcjjzcz. Give prob of picking 4 z.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/14594 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.1 + -4.1. Which is the nearest to 0.1? (a) 2 (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138208 is divided by 63?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 118189 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*p + 89*p = 78 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23691443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160553159?\nAnswer: 13, 61, 293, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 0. Let b be -1 + (0 - -2) + p. Suppose b = q - 2*q + 11. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 + -2)*(-16)\/12. Let h be w - (-5)\/(-5 - -10). Let z(i) be the first derivative of -i**2 - 2*i + 1. Give z(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 14*i**2 + 2*i + 33. What is u(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4686*o**3 + 226*o**2*v*x - 2*o**2 - 8*v*x - 2111*v - 418 wrt o?\nAnswer: 14058*o**2 + 452*o*v*x - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5*o + 6. Let j(b) = -2*b + 2. Let k(p) = 11*j(p) - 4*r(p). Let g = 136 + -120. Let v = 19 - g. Give k(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -10. Let h be 6*(3 - (-2)\/b). Suppose 15*r + 10 = h*r. Is -10 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/12*0)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7671858*n**3 - 9455991*n?\nAnswer: 46031148*n","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - -3. Let w = x - 0.7. Let n = w + -2.1. What is the third smallest value in -3, 5, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201011033122 - 10?\nAnswer: -201011033132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*x - 682 + 376 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lleldedd. What is prob of sequence llde?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 373 + -2609\/7. Let v be 4\/(-18) + 3\/(-27). Which is the smallest value? (a) -1 (b) o (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**3\/b)\/b)**(-42) assuming b is positive.\nAnswer: b**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06249 in 2093, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 + 8*l + 209.\nAnswer: -(l - 19)*(l + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 21?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -51*z**3 - 20*z**2 - 46*z - 16. List the prime factors of g(-4).\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24803693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 7.4. Let z = -4 + w. Let y = 1923 - 1922.9. Which is the closest to -3? (a) y (b) -0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**2. Let f(x) = -1 + 3*x + 1 - 9*x. Give f(r(p)).\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**10)\/t)\/(t\/(t**2*t)*t*t))**(-1\/24)*((t**(-3\/2)\/t)\/(t\/t**(-2\/3)))\/(t**(1\/5)*t*(t*t**8)\/t) assuming t is positive.\nAnswer: t**(-827\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**3*o**3 + 4664*h**3*s + 1862*h**3 + 69*h**2*o**3 + 3*h**2*o**2 - 60*o**3 - 20*o**2*s + 2*s wrt h.\nAnswer: 6*o**3 + 27984*s + 11172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011789066 to five dps.\nAnswer: -0.01179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 9 + (4 - 3) + -7 + 11.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**3 - 14268*n**2 + 57036*n - 57024 = 0. Calculate n.\nAnswer: 2, 4752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19680769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**9\/x*x*x)\/(x*x*x\/(x\/(x*x**(-43))*x)) assuming x is positive.\nAnswer: x**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, h: 1, e: 9, w: 3, y: 4}. Give prob of sequence zwe.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -649, -642, -631, -616, -597, -574?\n\"Answer: 2*g**2 + g - 652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/7)\/(h**(-1\/4)\/h))**34 assuming h is positive.\nAnswer: h**(391\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-2\/3)\/h)\/h)\/((h*h*h**6*h*h)\/h))**(-15) assuming h is positive.\nAnswer: h**175","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3*a = 3*c - 45, a + 39 = 2*c. Let l = c - 13. Solve l = -i - 0*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29571 = 1613*g - 70647 - 149258 for g.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 50 + 4?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -96.90858?\nAnswer: 91.90858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96269152 and 288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (56 + 115 - 79 + 128 + 58)*(-58*j + j**3 + 39*j + 24*j) to the form b + v*j**3 + y*j**2 + i*j and give v.\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 - -2) + -265 + 319 - (96 - 1)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f**3 - 10*f**3 + 2 + 3*f**3 + (-2 + 2 + f**2)*(f - 7*f + 3*f) to y*f + b*f**2 + m + g*f**3 and give g.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 177, 273, 373, 477, 585, 697?\nAnswer: 813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 7 = -5*g + 74, -3*g + 10*a = 7 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 111356884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -9)\/(1967\/973 - 2). Suppose -4*j + d - 409 = 0. Solve 0*f = -j*f - 5*p + 13, 0 = 5*f - 4*p + 17 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71 - 73. Let j = 3 + -7. Let p be 7 - 4\/4 - 11. Sort c, p, -35, j in descending order.\nAnswer: c, j, p, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -399 + 403. Solve -p = -5*f + v*p, p = 5*f + 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of h**5\/10 + h**4\/4 + h**3\/3 + h**2\/2 - 4*h + 1. Let v(z) be the first derivative of y(z). Calculate v(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23599166?\nAnswer: 2, 743, 15881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -144667*u**3 + 2*u**2 - 5321709*u.\nAnswer: -868002*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41700599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33452864?\nAnswer: 2, 283, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 2.5 (c) 145\/6 (d) 63\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, n: 1, p: 1, z: 1, b: 6, x: 1}. What is prob of picking 1 z, 1 p, and 2 b?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d5 - -c74?\nAnswer: b7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/35 + -43\/140. Let z = -1 - -1. Which is the nearest to z? (a) -0.3 (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.7 - -6.7. Let w = -0.2 - -0.4. Let s = 0.1 - w. Sort s, -0.5, x.\nAnswer: x, -0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + t = -19633112 + 6385581, -19871296 = -3*d + t. Suppose 5498235 = 22*v - d. What is v rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l + 43. Let z be d(-10). Let o(t) be the third derivative of 0 + 3*t**2 + 1\/15*t**z + 1\/100*t**5 - 1\/24*t**4 + 0*t. Factor o(k).\nAnswer: (k - 1)*(3*k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (26894\/(-68))\/(-113)*(-80)\/7\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.92 - 0.82. Which is the third smallest value? (a) g (b) 3 (c) -68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**2 - 1. Let r(v) = -v**3 - 13*v**2 - v - 12. Let m be r(-13). Give d(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ocwn when four letters picked without replacement from nycowowwwoc?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3576352, 7152742, 10729132?\n\"Answer: 3576390*k - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -344 - 566 - 2258 = -22*u. Solve 20*t + 44 = u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - u + 15. Find the third derivative of 7*j**3 + 2*j**2 - 9*j**u + 0*j**3 wrt j.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/9)\/o**(8\/5) assuming o is positive.\nAnswer: o**(-77\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 12:58 PM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 132*o - 47*o - 56*o - 1 as u*o + n and give u.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 2*o - 4. Calculate h(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1436 - 1215 = -71*a - 237 for a.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4910, -9818, -14726?\nAnswer: -19634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/1339 in -4, 9, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -934\/7 + 133. Sort o, -4, 2\/5, 3 in decreasing order.\nAnswer: 3, 2\/5, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 287 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 88069 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p**2 - 7*p**2 - 6*p**4)*(4 + 1 - 1) + 1 - 1 - 2*p**4.\nAnswer: -26*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 180\/1356437 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (-2 + 1) - -3. Let g(x) = x**3 - 2*x**2 - 6*x + 4. Let t be g(y). Suppose -d = 3*d - t. Round d to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16164920 to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-29)\/35 + 2\/5. Let s = -25.5 - -25.2. Put 0, s, k in increasing order.\nAnswer: k, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**2 - 150*z. Let t(q) = -40789 + q + 40789. Determine u(t(b)).\nAnswer: 3*b**2 - 150*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**4\/12 + f**3\/2 + 5*f**2\/2 + 21*f. Let r be h(3). Let y(i) = 18*i + 18. List the prime factors of y(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 104 = 3*a. Let y be (-176)\/66*(-3)\/4. Suppose y = -a*v + 24*v. Put 4, v, -2, 3 in descending order.\nAnswer: 4, 3, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence izn when three letters picked without replacement from ipfnzvzzzzizinpifff.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-153)\/(-45) + (-3)\/(-5). Solve -6 = -5*h + n, -2*n + 0*n = -2*h - x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 0. Suppose r*m = 2 + 6. Suppose -60 = -9*j + m*j. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -33.209 and 32?\nAnswer: -1062.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 82, 164, 256, 364, 494, 652?\n\"Answer: y**3 - y**2 + 78*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1029964 is divided by 358.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(2907\/112) + (6\/9 - (-96)\/(-432))\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 49*z**4\/4 - 21*z**2\/2 - 3122*z + 2684. Find the first derivative of g(u) wrt u.\nAnswer: 147*u**2 - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -1, 3, -54, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11890 + -11886. Sort -121, 0.4, -0.5, l in descending order.\nAnswer: l, 0.4, -0.5, -121","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 29*c + 124. What is the thousands digit of l(43)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 842467142 to the nearest integer?\nAnswer: 944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10 + 4)*3\/(-2). Let u(a) = 2*a**2 - 16*a - 13. Let j be u(h). Solve 0 = g + 3*n + j, 4*g + 5*n - n = -4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 6*y + 1. Give u(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 45547.\nAnswer: 1\/45547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 8) in base 12?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*n = 124*n - b + 5, 2*n + 4*b - 20 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52.25 + 52. Let z = -0.55 - m. What is the closest to -3\/5 in z, 4, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10529*m + 218075 = -6954*m for m.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (368 + 285 + 293)*(-18*u - 21*u - 14*u + 11*u) as z + h*u and give h.\nAnswer: -39732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3315*h*l*u + 1287*h*l - 18*h + 180*l**2*u - 10*l**2 - l - 14*u + 1 with respect to u.\nAnswer: 3315*h*l + 180*l**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -90*b**2 + 63*b**3 - 27*b**3 - 255*b**3 + 15*b**4.\nAnswer: 3*b**2*(b - 15)*(5*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6999 + 10899. What is the thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2. Let d(c) be the second derivative of 85*c**3\/6 - 2*c**2 - 6*c + 7. Calculate d(t(y)).\nAnswer: 170*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -5 (c) 0 (d) 1.7 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/2 and 34\/37575?\nAnswer: 75150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.19434 rounded to 2 dps?\nAnswer: 19.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(7) - sqrt(63))**2*1.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -145932 divided by -72966\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1680017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((-72)\/(-12))\/(3\/2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14 or 1759\/124?\nAnswer: 1759\/124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 6*l - 6. Let w(m) = -4*m + 4. Let z(q) = 2*q - 9. Let i be z(6). Suppose -2*f + p - 8 = 0, 3*p - 4 = i*f - f. Calculate f*d(r) - 8*w(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) - 6*sqrt(1408))\/sqrt(11))**2 - ((sqrt(72)*-4 + sqrt(72))*3)**2.\nAnswer: -1414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -129*d**3 + 159746*d - d**2 + 128*d**3 + 4 - 159625*d to the form w + s*d**3 + c*d + m*d**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33542876 is divided by 1340?\nAnswer: 1336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - c + 2 = -0*j, -3*c = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 283 + 185. Suppose -582 = -g - n. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 17*r**2 - r + 21. Let g be (9\/(-6))\/(3\/(-34)). Determine a(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -638 + 2288. List the prime factors of k.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-158*w + 3*w - 519*w)*(-23 + 45 + 21)*(5*w - 4*w - 2*w + (-2*w - 2 + 2)*(-4 + 2 + 1) - 4 + 4 - 2*w).\nAnswer: 28982*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gfg when three letters picked without replacement from {f: 2, g: 2, a: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -4, -358, 4, 8, 2 in decreasing order.\nAnswer: 40, 8, 4, 2, -4, -358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/25 + (-24)\/10)*-2. Let w be 1 + 0 - 7*-1. Let l = b + w. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/8*2)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 25 = 4*a, 0 = 5*g - g - 5*a + 21. Let z be (2 - -9)\/(1\/1). Let q = z - g. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84450 and 9767487.\nAnswer: 1689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 728889932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 take away -312734398623?\nAnswer: 312734398824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -41, 38, 191, 442, 815?\nAnswer: 1334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -11*q**2 - q - 4. Suppose -177*c - 364 - 167 = 0. Let n(o) = -22*o**2 - 3*o - 9. Calculate c*n(b) + 7*y(b).\nAnswer: -11*b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 64254\/8*400\/150 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.92 to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/4*(-16)\/(-60)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.081 times 11.04?\nAnswer: 0.89424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + -1. Let g be (d - (3 + -1))\/(-1). Solve 1 = g*u + 16 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18.77677 + -0.03923. Round p to 0 decimal places.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.25 + 4. Let g = s + 0.05. Let x = -0.077431 - -0.477431. Sort -4\/23, g, x.\nAnswer: g, -4\/23, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**2. Let r(c) = 24*c + 6. Calculate r(j(l)).\nAnswer: -48*l**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 27097, 54149, 81147, 108085, 134957?\n\"Answer: -y**3 - 21*y**2 + 27122*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + m - 5*w + 22 = 0, w + 1 = m. Suppose m*h - 7 - 2 = 0. Let v = h - -7. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 590761728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n - 21. Let w be i(8). Suppose 21*b + w = 22*b. What is the highest common factor of b and 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417909450.\nAnswer: 2, 3, 5, 7, 31, 37, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 4:44 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96453929 by 3.\nAnswer: 96453929\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1287 and 138259?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 31. Let q(y) = -2*y + 6. What is the least common multiple of q(-7) and n?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 151 - 143. Solve -d = w - 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 224 - -136. Is 18 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 6:29 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 257334 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 14649 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -17*f + 6. Suppose -4*w = -7*w - 165. Let m(p) = -154*p + 55. Let o(u) = w*n(u) + 6*m(u). Is 11 a factor of o(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 13*z + 14. Let y be v(-14). Solve y = -p + 4*g - 23, -5*p + 7*g - 40 = 2*g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -12*v**2 - 105*v - 14. Let l be s(-4). Suppose 0 = -4*a + a. Let r be a + l + (-6)\/(-3). What is the highest common factor of 24 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 12 = 3*s, -52*s = -2*y - 56*s - 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 - 7 = -31*j. Are j and 13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/15 - (105\/(-9))\/7. What is the derivative of -105*i + 66*i + t - 9 wrt i?\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -3*y, h - 6 = -4. Let v be (-1125)\/(-468) + ((-72)\/(-39) - y). Let -9*r**2 + 3\/8*r**5 + v*r**4 + 3\/8*r**3 + 0 + 6*r = 0. What is r?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0192249 rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -378? (a) 1 (b) 2 (c) 0.1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.699 - 0.001. Let m = -8 - n. Let i = m + 0.8. What is the second smallest value in 4, -0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 71*c + 12. Let t be g(71). Solve -27*a + t = 39 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/2)*p**6)**(-11) assuming p is positive.\nAnswer: p**(-143\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ad (base 16) to base 12.\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j + 14. Let u be b(7). Suppose u - 57 = 6*m. Is -6 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-240*h - 14873 + 14873)*(-16 + 37 + 65) to g + t*h and give t.\nAnswer: -20640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8*(-17)\/((-272)\/840). Let t = 442 + j. Let l = 26 - 16. Calculate the least common multiple of l and t.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -6 - (7 + (-20 - -1) + 41)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/2 - 245\/(-42))*-123. Is -2133\/4 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1080351617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 553 divide 191380028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (3 - 1) - -14 - 4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67383813\/4 bigger than 16845953?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 417804521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + 35*s - 36*s + 34, 6*s = -c - 13 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2. Let x(d) be the second derivative of -d**4\/6 - 15*d**2\/2 + 2*d - 20. Give x(j(i)).\nAnswer: -8*i**4 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 12*p - 2. Is n(18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/7 in 0.5, -31\/9, -3\/5, -0.5, 0?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187483 is divided by 248.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6*k + 1. Let r be l(-1). Let i = -1 - -0.87. Let o = 0.43 + i. Which is the second biggest value? (a) 4 (b) o (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 939 or 940?\nAnswer: 940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 329809641 and 294?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 9*n = -n. Suppose 3*x - 83 - 235 = n. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*y**3 - 8*y**3 + 86895 - 173795 + 86896.\nAnswer: 25*y**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35 - 26) + (-5 - 1 - (-1 - 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 10628.2 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**6\/15 + 44*i**5\/5 + 409*i**4 + 22792*i**3\/3 + 67081*i**2 - 100*i - 3. Find x, given that n(x) = 0.\nAnswer: -37, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1168 + 619 = 3*h + p, -h = -3*p - 569. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4*l - 9*l + 392, 3*l = -4*t + 384. Calculate the greatest common divisor of 62 and t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 24171*z - 1861168. What is k(77)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lilljilllililljlllil?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 221 - 222. Which is the nearest to o? (a) -2 (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/(-77) + 310\/11. What is the greatest common factor of c and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*v = 69*v + 2*a + 10, 0 = 2*v + a - 10. Let i be (-2)\/(-7) - 12\/(-7). Solve 2*o = -i*s, -s - 6*o + 4*o + v = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 3330464.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 19*c + 1. Let o(n) = -10*n - 1. What is -6*j(w) - 11*o(w)?\nAnswer: -4*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 + 10065*y + 10064.\nAnswer: (y + 1)*(y + 10064)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7275218*b*k**5 + 549*b*k + 3086*k wrt k?\nAnswer: -145504360*b*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3484 and 804?\nAnswer: 10452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -16 + 13 + (-38)\/(-14). What is the closest to 1\/6 in z, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11153377.5 and 0.8?\nAnswer: 11153376.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/4 (b) -0.5 (c) 2 (d) 4\/9 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4)*(-2 - -2). Let s(d) = d**3 + 8*d**2 + 7*d + 14. Let w = -132 + 125. Let c be s(w). Solve 5*u - 5 = i + 2*i, t = -3*u + 4*i + c for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.03 + 0.35. Let z = p + 4.26. Round z to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3318*o**3 - 5*o**2 + 9*o + 21. Does 60 divide v(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 3*l**2 + 7*l + 6. Let v = -8 + 8. Suppose -5 = p - v. What is the units digit of s(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 40\/3. Let h = -52.1 + 53. What is the third smallest value in h, 5, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llollo. What is prob of sequence lo?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*a - 6, 4*s - 5*a + 10 = -0*a. Is s > -2\/395?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 322161802?\nAnswer: 2, 137, 157, 7489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 500.2583 to 1 dp.\nAnswer: 500.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52132*v = -52128*v - 2*c + 64, -24*c = 2*v - 68 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 400 divide 3546800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -10*m + 486. Let r be c(48). Solve 2*s = k - 3, 0 = -k - 2*s + 1 + r for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8556 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 1:35 PM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 6*u**3 - 29*u**2 - 37*u + 5. Give f(5).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 11226*i**2. Let a(y) = y. Give a(p(q)).\nAnswer: 11226*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*w**3 - 1286847*w**2 + 1286847*w**2.\nAnswer: 176*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3*(-15)\/9)\/(-1). Let i be ((-2)\/(-2))\/(-1)*z. Let w be 11\/(-30) - (-1)\/2. Put -1, w, i in descending order.\nAnswer: i, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of n**3 + 5*n**2\/2 + 5*n - 433. Let v(r) be the second derivative of r**4\/3 + r**3 + 3*r**2 + 24*r. What is -6*g(q) + 5*v(q)?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 - -31. Let r(a) be the second derivative of 0 + 1\/30*a**6 + 1\/6*a**3 + a - 1\/30*a**t - 1\/6*a**2 - 1\/18*a**4 - 1\/126*a**7. Factor r(u).\nAnswer: -(u - 1)**4*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 10:48 AM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2198842979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -22977 (b) 0.4 (c) 38 (d) 0.1 (e) -4 (f) 1\/5 (g) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -64 in -0.0176, 3\/82, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -3. Calculate the remainder when 78 is divided by (9 - (m - 4))*1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 p when four letters picked without replacement from {d: 11, p: 5}.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of 0 - 1\/24*k**4 + 0*k - 4*k**2 + 1\/40*k**6 + 1\/60*k**5 + 0*k**3. Give u(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288715139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + x = -738. Calculate the remainder when x is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/8*9)\/(22\/44).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z + z - z + 4*z + 12*z + 10*z + (2 - 5 - 2)*(1 + 2*z - 1))*(1 - 9 + 12) in the form b*z + f and give b.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*9\/5616*13*18?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1023*r - 5*w - 15 = 1023*r - 2044*r, -76*r - 4*w - 384 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2772)\/(-1540))\/((-621)\/(-10))?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22923 and 729.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2662004.8299536 + 2662003. Let c = 1.83 + d. Round c to 6 decimal places.\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/3)\/s)**(2\/45)\/(s\/(s\/(s*(s*s\/((s**(-6)\/s)\/s*s)*s)\/s*s*s*s))*((s\/(((s*s**(2\/11)\/s*s*s)\/s)\/s))\/s)\/s) assuming s is positive.\nAnswer: s**(-17594\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13616)\/2300 + 365\/125 + -3 + -13.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-324)\/270*83\/(13446\/180)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -68. Let p = -471 + 476. What is the highest common divisor of f and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 0, -16, 38.7, 0.08 in decreasing order.\nAnswer: 38.7, 12, 0.08, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 23763381*u. Let c(i) = -34*i + 2. What is j(c(t))?\nAnswer: -807954954*t + 47526762","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((20\/70)\/((-56)\/147)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/((-70)\/48))\/((5088\/(-504))\/(-212)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/(-10))\/(4\/(-130)). Let l be 4\/(-8) - r\/(-4). Let i(k) = -k**2 - 8*k - 3. Let h be i(l). Let q(m) = -m**3 + 4*m**2 + m - 5. Determine q(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(-2)*(-16)\/(94\/1363 + 468\/(-58)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**4\/24 + 2*z**3\/3 - 3*z**2\/2 + 5*z. Let m(b) be the first derivative of n(b). Calculate m(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/90)\/((-2)\/(-6))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 55*y - 44. What is the nearest to -7 in -0.1, y, 6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 233258161 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-131)\/((-47684)\/(-624))*(42\/(-4))\/(-3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6281675093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1110 - 1056. Calculate the highest common divisor of z and 1296.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2. Let i(s) = -102*s**2 + 1. Determine i(n(p)).\nAnswer: -408*p**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5979208 divided by -2989604.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*g - 36*g + 16*g + 842 + 3*g)*(-1 - 6 + 3).\nAnswer: 4*g - 3368","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 - -104. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, i: 2, v: 1, u: 1, t: 4}. Give prob of sequence utvi.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1604 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 432950 and 105?\nAnswer: 1298850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 8*f**6\/15 + 7*f**5\/10 + 62*f**2. What is the third derivative of a(y) wrt y?\nAnswer: 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 t when four letters picked without replacement from {t: 4, c: 10}.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/18 + (-90)\/(-360)*8160\/(-27)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56737 times 0.2?\nAnswer: 11347.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c + 2*c + 4*c)*(-2355 + 1098 + 1116) - 1 + 1 - c + (1 - 2 - 1)*(-c + 0 + 0) + 0*c + 0*c - c - 5 - 2*c + 5.\nAnswer: -143*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 + 42 = 2*b + 4*c, -3*b = -c - 195. Suppose 5*g = 5*u - b, 2*u - g + 14 - 35 = 0. Solve -f + u = 3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -135 + 190. Suppose -a - 1 + 12 = -4*j, 3*j - 101 = -5*a. What is the remainder when u is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6160 and 3941?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 610012611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1430 or 470137\/329?\nAnswer: 1430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 244200\/6475*161\/46?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 - 130*o**2 + 257*o - 128.\nAnswer: (o - 128)*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(28) + 2*sqrt(28) + sqrt(7) + 0 + sqrt(63) + (sqrt(56) + (sqrt(168) - (sqrt(168)*3 + sqrt(168)))\/sqrt(3))\/sqrt(8)))**2.\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -5*u - 5, -4*u - 5*h = -23 - 27 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6898 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4 = 4*s. Suppose -s*x + 10 = -0*x. Suppose 11 = 3*d - 1, -5*g = x*d - 40. Let k(r) = r**2 - 3*r - 3. Calculate k(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -34, -67, -116, -187, -286, -419?\nAnswer: -592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 237*u**2 - 1317*u - 35291. Let k(b) = -46*b**2 + 264*b + 7058. Let n(m) = -31*k(m) - 6*y(m). What is the derivative of n(p) wrt p?\nAnswer: 8*p - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -3, -0.1, 0.1, -0.116, 0.5 in increasing order.\nAnswer: -3, -0.116, -0.1, 0.1, 0.5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (9 - 7) - -7\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.3, -46, 3 in ascending order.\nAnswer: -46, -4, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 787582 a multiple of 1073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 36*u**5 + 95376*u**4 - 3055592*u**3 + 2005264*u**2 - 332444*u = 0. What is u?\nAnswer: -2681, 0, 1\/3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14884 (b) 0.006 (c) -2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -302 - -422. Let o be 1 + 0 - (-60)\/u. Suppose -3*g + o*g**2 + 3\/2 = 0. What is g?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**5\/60 + h**4\/24 + 7*h**3\/2 + h**2. Calculate the lowest common multiple of v(0) and (-4044)\/60*(-30)\/84 + (-2)\/28.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -14*f**2. Let z(t) = -5*t + 4. Determine z(k(w)).\nAnswer: 70*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + q**2 - 21*q - 1. Let a(o) = -2*o**2 - 11*o. What is a(v) - d(v)?\nAnswer: -v**3 - 3*v**2 + 10*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2010, 7902, 17716, 31446, 49086?\nAnswer: 70630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 245123141*n**3 + 1407354*n + 51.\nAnswer: 1470738846*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.022 - -6.938. What is t rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33130 >= -33131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 + (-4 - (-14 - -16 - -1))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yynzyunyz. What is prob of sequence nnu?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19853 + 19856. Let m be (-1)\/(((-2)\/(-3))\/(-2)). Suppose m*s - 3 = -0*s. Solve a*z - s = -4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231 + 231 + 36*h**3 - 23*h**3 - 22*h**3.\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -4*d + 3*h, 5*d - 11 = 3*d - 3*h for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 15*g**2 - 7*g + 15. Determine y(15).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1070723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o - 17*o + 20*o + 25*o**2 - 62*o**2 + 38*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17424 and 633798.\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 304707 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - g. Let u(a) = 1 + 5*a + 0*a + 8*a**2 - 4. Let f(m) = -5*q(m) - u(m). Suppose f(t) = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -18*i + 1074. Suppose i = 3*k + 51. Which is the nearest to -3? (a) 3.2 (b) -1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -8 + (-1251 - -1252).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 38 + 5*d - 11 + 6 wrt d?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 17. Let u = -38 + -16. Let a = u - -131. What is the highest common divisor of a and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 147*t**2 - t + 16 + 148*t**2)*(2 + 2 - 1)*(0 - 4 + 0)*(4 - 1 - 1).\nAnswer: -24*t**2 + 24*t - 600","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**2 + 0*j**2 - 5*j**2 - 2*j**3 - 4 - 2*j**4 + 3 to the form n*j**4 + z*j**3 + g*j**2 + l + v*j and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z. Let n(r) = 6*r - 1. Let g = 8 - 14. Let x be (-2)\/3*(-9)\/g. Give x*n(t) + 4*h(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or -190926474?\nAnswer: -190926474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -131 - -134.02. Let j = -0.02 + p. Let i = 0.5 - 0. What is the smallest value in j, i, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and (15\/(-25))\/(1\/(-10))?\nAnswer: 6","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 {u: 7, s: 9, i: 3}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t**(1\/3)*t)\/t*t*t*(t**(-13)*t)\/t)\/((t\/t**(-9\/5))\/((t\/((t*t*t**13)\/t))\/t)) assuming t is positive.\nAnswer: t**(-397\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*h - 27*h = -126. Let x(j) be the second derivative of -1\/10*j**5 - 3*j**h + 1\/2*j**4 + 0 + 10*j + 1\/3*j**3. Let x(c) = 0. What is c?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 396, 377, 332, 249, 116, -79?\n\"Answer: -2*k**3 - k**2 - 2*k + 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 4:36 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/133 in -5, 1, -4, -4\/3, 164?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81928 and 23256.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.09569 + -0.09569. What is the third smallest value in 215, t, 2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 10 = 2*j - i, -3*j + i = -13. Solve -2*c - j = c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3240 and 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 62 - 0) + (-32 + 29 + -36 - -47)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1325 and 92485?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 4*r**4 + 572*r**3 - 9388*r**2 + 15460*r + 145992 = 0.\nAnswer: -158, -3, 7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*g - 65, 3*w + 23 = -3*g + 68. What is the remainder when 36 is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 8*h**2 + 9*h + 3. Let m be q(9). Suppose 5*z - 5*w = 30, -4*z - z = 4*w - m. Let v(c) = 3*c**3 + 3*c**2 - 3*c - 4. Is 19 a factor of v(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 7*x + 1. Let g be t(-7). What is the closest to 5 in 3\/5, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23718 + 23716. Let k = 3.4 + -1.4. Which is the second smallest value? (a) 0.1 (b) 0.5 (c) k (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -75 - -97. Suppose -g*r = -20*r - 8. Suppose h + 5*s - 8 = r, s - 2 = 0. Solve h*n + 0 = -4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1636.657 micrometers to kilometers.\nAnswer: 0.000001636657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f - 2*f + 0*f. Suppose -2*q + 12 = q. Let w(i) = -q - 2*i + 4. Determine w(m(h)).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -423.9 + 214.7. Let c = o + 7.2. Let x = -203.73 - c. Round x to one dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 13. What is the units digit of (1\/2)\/(y\/168)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 45, 149, 345, 663, 1133?\nAnswer: 1785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -439 = 5*q - 619. Does 26 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uxkklkxlkxuxxkxxu. Give prob of picking 3 k and 1 l.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 6. Let g = -38 - -60. What is the remainder when g is divided by 16\/2 + (-2 - f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600)*-2*5)\/(sqrt(12) + -1*sqrt(192) - sqrt(24)\/((sqrt(8)\/sqrt(4) - sqrt(2)) + sqrt(2))).\nAnswer: 25*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + 0)\/(3\/6). Suppose 9*n = x*n. Suppose n = -3*u - 2*u. Which is greater: -1\/4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 divided by 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*2\/12)\/(4408\/(-79344))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -51212 + 42402?\nAnswer: -4410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 440\/11*((-70)\/56)\/(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/9 - 7966*j\/9 + 15908\/3.\nAnswer: 2*(j - 3977)*(j - 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/6 - 16\/42. Let j = 5.3 - 1.2. Let x = j - 0.1. Which is the smallest value? (a) -3 (b) x (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 5*q - 2. Let s be f(4). Suppose 254 = 4*l - s*h, -5*l - 3*h = -3*l - 123. Let u = l + -36. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -17. Let d be (3\/s)\/((-2)\/(-16)). Let u = 2.5 + -3. What is the closest to -2 in 3, u, d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5295 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.029 and 155.\nAnswer: 154.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 176 and 149248.\nAnswer: 149248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*c + 3*c. Solve -z + c*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 976606667 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14686, 29370, 44048, 58720, 73386?\n\"Answer: -3*v**2 + 14693*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/881 - 913\/14096. Let w = -31\/272 + x. Is 1 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 4, 0, 1.63, -1\/3 in descending order.\nAnswer: 4, 1.63, 0.6, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.6946 and -3.\nAnswer: -0.3054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 139.4085 meters to centimeters.\nAnswer: 13940.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 8:36 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 372, 343, 314?\n\"Answer: -29*f + 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 3 - 2*n)*(0 - 1 + 6) + 2*n + 3*n - 2*n)*((2*n - 6*n + 5*n)*(1 - 1 + 4*n) + 3*n - 5*n**2 - 2*n + n) to x*n**2 + r + v*n**3 + d*n and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*p + 33*p - 37*p)*(3*p - p - 6*p)*(4*p - p + p) to the form x*p**2 + y*p + o*p**3 + h and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5*o. Let z(b) = -22*b**2 + 72893. Determine i(z(f)).\nAnswer: 110*f**2 - 364465","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2084 = -a - 16163, -a = -j + 2815. Does 132 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 4\/(-38) - (43648240\/(-2128) - 25\/35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 0 - 2\/3*r**3 + r + 0*r**2. Let h(v) be the second derivative of v**4\/6 + 2837*v. What is h(f(k))?\nAnswer: 32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(35)\/(sqrt(84)\/(sqrt(12)*-3))*-1 + ((2*sqrt(2835))\/(sqrt(7) + sqrt(112)\/sqrt(4)))**2).\nAnswer: 3*sqrt(5) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4692 + 9306 - 2*d - 4614.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.27384 rounded to two dps?\nAnswer: -1.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -9.057, -26, 1\/5, 0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3969 = 2*w - 3*w + 3*c, 2*w = -3*c + 7965. Does 153 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 7*p + 25. What is x(-5)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*a - 425*a + 3354 = 168*a + 19942 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 285606 and 4479906.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 - (2\/9 + 10758\/(-54)).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 1 - 2)*(4*i - 2*i + 0*i) - i + 0 + 0)*(0 + 4 - 3)*(3 + 0 - 2).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.15592 to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2812756?\nAnswer: 2, 89, 7901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/17, 0.4, -1213\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**5*y**(-5))**38\/(((y*y**(-2\/13))\/((y*y\/y**3)\/y))\/(((y*y\/(y\/(y**(2\/7)\/y)))\/y)\/(y*y**(-2\/11)))) assuming y is positive.\nAnswer: y**(33655\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -5 (c) 1 (d) 0.073\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20562 and 483654?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 3795223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus 35475?\nAnswer: 35470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -8*z. Let y(b) be the first derivative of -b**6\/36 + 14*b**3\/3 - 7*b**2\/2 + 92. Let p(q) be the third derivative of y(q). Calculate p(h(f)).\nAnswer: -640*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wweddwhnwe. What is prob of sequence hww?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, p: 2, k: 14, c: 1}. Give prob of picking 1 p and 1 t.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61242 is divided by 18992.\nAnswer: 4266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -143.3 + 143. Suppose -5*l = -4*l - 2*d - 3, 3*d = 3*l - 15. Let j = l + -3. Sort x, -3\/4, j in decreasing order.\nAnswer: j, x, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-27)\/(-36)*2\/3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 625 divided by 125\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of 1\/12*q**4 - 1\/2*q**3 - 1\/120*q**5 + 0 + 4*q**2 + 0*q. Let g(y) be the first derivative of l(y). Determine g(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31265481 by 67821.\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9470 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 710052?\nAnswer: 2130156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 0, 9, -1, 2, -26 in ascending order.\nAnswer: -57, -26, -1, 0, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (-2*sqrt(63))\/sqrt(9))**2 + sqrt(7) - (sqrt(7) - (6*sqrt(343))**2).\nAnswer: 12411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 3*n - n)*((5 - 4 - 2)*(-4*n + 3*n + 3*n) + 3*n - 3*n - 2*n - 4*n + 3*n + 0*n + (3 + 1 - 2)*(4 - 4 + n) + 3*n - 13*n + 6*n).\nAnswer: -14*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, h: 1, s: 2, q: 1, t: 1}. What is prob of sequence qh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 6\/8*(-416)\/(-156)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from vhhuhvvhddvxhhxdhxv.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14468*j - 14533*j = 3*w - 786, w = 4*j - 46 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3976 divided by -142?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**6\/360 + 3*i**5\/40 + 5*i**4\/24 - i**3\/6 - 3*i**2. Let l(r) be the first derivative of f(r). Is l(7) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -q**6\/2 - 6*q**5\/5 - 313. What is p in z(p) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2)\/f*f*f**(-1\/6))\/((f**(-2)\/f)\/(f\/f**(-4\/9)*f)) assuming f is positive.\nAnswer: f**(59\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*f - 86107 = 67673. What is the highest common divisor of 11 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 6 + 4 + 0 = -2*a - 2*n + 4, 4*a = n - 21 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-1)*118\/826.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 - -42. Which is the biggest value? (a) k (b) 0.5 (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - a - 1. Let y(s) = 44*s - 9. Let m(u) = -96*u + 19. Let n(q) = -6*m(q) - 13*y(q). What is 3*b(c) + n(c)?\nAnswer: -3*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/9, -6, 4, 5, -0.5, -45?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, z: 10}. What is prob of sequence zz?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - s - s)*(64 - 64 + 4*s) - s**2 + 2*s**2 - 3*s**2.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 1403.4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -4*w - 1, -6*b = -11*b - 5*w - 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-2*sqrt(70))\/sqrt(10))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30971264 and 7?\nAnswer: 216798848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*m + 2, 5*m + 0*n - 5*n - 10 = 0. Sort m, -8, 1 in decreasing order.\nAnswer: m, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 20408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42366273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-527132)\/(-24) - 44\/(-264)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 0 + 1*38. Let p be 6\/(-27) - (-26)\/j. Let r = -224 - -223.9. Which is the nearest to p? (a) -3\/4 (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzoanozppozoppaooo. Give prob of picking 1 o, 1 y, and 1 a.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t = -7*t + 276. Let p = t + 103. Let h = 265 - p. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 - -40 - (-16 - 4 - 4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 5*o - 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 0)*(4*o**2 - 31*o**2 - 16*o**2) as v + g*o + i*o**2 and give i.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 119919643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208 + 353*q - 316*q - 205.\nAnswer: 37*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 5996.77.\nAnswer: -2998.385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 7642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.31827 rounded to 1 dp?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 24\/25 (b) -1\/10 (c) 0.5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12\/7, -0.07, -4, -1\/3, 50, -4\/7?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 6:37 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*0.048638\nAnswer: -0.0145914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5541368.\nAnswer: 2, 7, 98953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/303 and -163\/30.\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (36\/(-16))\/((-6)\/(-112)). Let n = s + 55. Calculate the highest common factor of 117 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -491, -1251, -2437, -3983, -5823?\n\"Answer: 11*y**3 - 279*y**2 - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, -4, 0.5, -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 29*r. Let o(f) = -1749*f**2. Determine v(o(w)).\nAnswer: -50721*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8538.863um to meters.\nAnswer: 0.008538863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, h: 9}. What is prob of picking 2 c and 1 h?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 112\/3 - 37. Let t = 58 + -8. Let j be (3 - t\/12) + 2. What is the closest to y in j, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**7\/210 + 647*t**5\/20 + 11*t**4\/8 - 9*t**3\/2 - t**2 - 81*t - 5. Find the second derivative of l(f) wrt f.\nAnswer: 12*f**2 + 3882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 - -30. Suppose 2*p - w = -47. Suppose -24 = p*v + v. Sort v, -3, 4 in descending order.\nAnswer: 4, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.103 - -27.097. Let z = u - 27. Sort z, 5, 3\/7 in descending order.\nAnswer: 5, 3\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g. Let u(y) = -y. Let o(q) = -2*f(q) + 3*u(q). Let c(j) be the first derivative of 2*j**2 + 1. Determine c(o(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*x - 21. Let k be x\/(-6) - (-1408)\/33. Suppose k*y = 35*y + 1260. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/10*((-22040)\/174)\/(-76).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*t**5 + 13206*t**4 - 5*t**3 - 4892693*t**2?\nAnswer: 660*t**2 + 316944*t - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.3056m to millimeters.\nAnswer: 86305.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 5)*(3 - 3 - 3)*(r**2 + 0*r**2 + r**2).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -377988*b**4*h**2 - b**4 + 299*b**2*h - 4*b*h**2 + 7*b*h + b wrt b.\nAnswer: -9071712*b*h**2 - 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5157? (a) 4 (b) 2\/17 (c) -1\/6 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-17)*l\/l**15 assuming l is positive.\nAnswer: l**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 29\/5 of a kilometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f + 0*f + 10 = -7*f + 2, -x + 20 = -4*f + f for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 457676 or 457677?\nAnswer: 457677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -979827.3 to the nearest 1000.\nAnswer: -980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 408 and 4783256.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 + 2 + (-3 - -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j + 104 + 2*j - 211 + 108. Let w be -5*-2*1\/5. Calculate i(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 11*w**2 + 2*w - 16. Let y be (-8)\/(-12)*-3 + 13. Let l be d(y). Is 9 a factor of 232\/l - 2\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 63 = -25. Let f = c - 33. Suppose 3*a = f*p - 28, -3*a = -4*p + p + 18. Solve -5*h - 5 = p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9658 to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 684 divide 236689398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3006 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11664 = 91*i - 95*i. Determine s, given that 37*s**3 - 31*s**3 + 144*s**2 + i + 24*s**2 + 4590*s + 160*s**2 = 0.\nAnswer: -27, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -10. Suppose -q - q = 3*n - 16, r*q + n = 14. Let p(o) = 3*o**2 - 8*o - 7. What is the remainder when p(-1) is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -354 + 807. Let a = -324 + l. Calculate the remainder when a is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/15 of a hour?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26594 is divided by 1209.\nAnswer: 1205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 - 4. Let g = -34 - v. Suppose -3*d - 17 + 92 = g. What is the remainder when d is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 2*z - 7. Let t be m(7). Let f = 5 + -2. Calculate the common denominator of -75\/8 and (-31)\/t + (f - 1).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b - 70. Let x be w(24). Factor -8\/5*t - 2\/5*t**x - 6\/5.\nAnswer: -2*(t + 1)*(t + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -1374\/605?\nAnswer: -1374\/605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**3 + 55*f**2 - 28*f + 28. Determine x(27).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 12160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 906 and 603245.\nAnswer: 3619470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 774.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/4 at least -1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1188 + 628. Let j be (-2)\/9 + l\/72. Let u(n) = -n**3 - 7*n**2 + 6*n - 11. Let v be u(j). Solve v*f - 7 = -2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -5*q - 448. Let z be (-3)\/(-2) - 200\/q. Which is the second smallest value? (a) -0.3 (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 232 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 1:24 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*x - 144 = 63*x. What is the units digit of (-16)\/(-20) - x\/(-60)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -0.09 (b) -163.35 (c) 0.5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4162507?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*y, 0 = -16*j - 69*y + 66*y - 151 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 12:48 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 3*r**2 - 4*r + 2. Let y(z) = -4*z - 20. Let k(p) = -p**3 - 7*p**2 - p - 13. Let m be k(-7). Let u be y(m). Give q(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22219381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1*(-4 + (sqrt(847) - sqrt(847)*2) - (0 + (-2*sqrt(847) - sqrt(847)))))**2)*1.\nAnswer: -176*sqrt(7) + 3402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 a factor of 20616444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -5. Let p = 3 + -3. What is the nearest to 1\/2 in c, p, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) + sqrt(35) + (sqrt(35) - (sqrt(245)*2 - sqrt(245))\/sqrt(7)))\/sqrt(7))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -148? (a) -2\/21 (b) -1524 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 101*o**2 + 711*o + 892. Determine j(-9).\nAnswer: 2674","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (6*(-3 + (-1 + -1*(4 + sqrt(275) + 1))*-4))**2.\nAnswer: 30240*sqrt(11) + 174273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 13 = f, -b + 2 = f - 3. Let h be f\/8 - 71\/(-4). Factor 12*i + 8*i**3 - 5 + 0 - h*i**2 + 3.\nAnswer: 2*(i - 1)**2*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h - 301. Let m(d) = -4*d**2. Let n(c) = 18*c**2. Let j(a) = -4*m(a) - n(a). Determine p(j(t)).\nAnswer: 2*t**2 - 301","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*-1*10\/6. Let l = 12 - 6. Let o be x*(0 + l\/(-15)). Solve f + 4 = u + 12, -o*u + 4 = 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 309 - 6. Suppose 3*g = 7*w - 2*w + 20, -w + 65 = 4*g. Calculate the highest common divisor of g and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 4985890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 39647209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267030?\nAnswer: 2, 3, 5, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48298\/20336)\/(19\/44).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30.00002 + -30. What is s rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.4 times 5.3?\nAnswer: 33.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**4 + 2*n**4 - 3*n**4 + n**4 - 2*n**4 + 3*n**4 + (-2 + 1 + 3)*(0*n**2 + 0*n**2 + 2*n**4) - 2*n**4 - 5*n**4 + n**4.\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 468 - 0?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -324364 (base 7) to base 9\nAnswer: -85807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11917, -11921, -11927, -11935, -11945, -11957, -11971?\n\"Answer: -r**2 - r - 11915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6 - 103)*-1 + -2 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75 - -89. Let v = -9 + 23. What is the greatest common divisor of t and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 552\/32)\/((-3)\/(-4))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 502832660.\nAnswer: 2, 5, 11, 601, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 + (-3248)\/216)*-3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 17\/6 + 44*o**2 - 45\/2*o + 8\/3*o**3 = 0. What is o?\nAnswer: -17, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwwjajsjj. Give prob of picking 2 j.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/2)\/3*290\/725.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2764 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0895*8.36.\nAnswer: 0.74822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 458227883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -18493 greater than or equal to -18499?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 9*m - 1. Let n(j) = 1. Let a(z) = k(z) + 3*n(z). Let t be a(-5). Calculate the least common multiple of (t\/(-10))\/(4\/20) and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1621042, -3242085, -4863128?\nAnswer: -6484171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 12*v**2 - 11. Let x(g) = -2*g**2. Give n(x(w)).\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*j - 4*v, 3*j - 8*v + 12*v - 23 = 0. Solve 0 = j*f - 2*z + 4, -2*f + 3*z - 6 = -7*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 5.9. Put x, 3, -5 in descending order.\nAnswer: 3, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - b + 6*b = -29, 0 = -2*o + 5*b + 33. Let x = -2 + o. What is the third derivative of -u**4 + 5*u - 5*u + u**x wrt u?\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 161722?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/7 (b) 109 (c) -2\/5 (d) -21 (e) -2 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8460, -8489, -8508, -8517?\n\"Answer: 5*i**2 - 44*i - 8421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 230?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -4\/15, 4\/3, 1?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 26*p**2 - 1245*p. Let f(d) = 7*d - 12. What is s(f(h))?\nAnswer: 1274*h**2 - 13083*h + 18684","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/3)\/((-4)\/(-72)). Suppose z = 3*t - 3. Let f be t + 43 + -1*2. Calculate the highest common factor of 11 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -4. Suppose s*b - 6 - 4 = 0. Solve -2*n = -4, 2*n = b*t - 6*t + 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31 + 35 + 46)*(v**3 + 0 + 0) to the form g*v**2 + q*v + n + u*v**3 and give u.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 754927 divided by -1885\nAnswer: -754927\/1885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2454, -5\/6 in decreasing order.\nAnswer: 2454, 2, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*j + 8*j - 146, 5*c - j = 730. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10645 (base 8) to base 5\nAnswer: -121032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*a + 534*a = -312*a + 5790 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 3. Let z(s) = 3*s**2 - 6*s**2 + 2*s**v. Let d(t) be the third derivative of t**5\/15 + 6*t**2. Calculate d(z(n)).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 185186 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 5*t + 43. Let h be 20\/(-30) + t\/(-6). Solve 5*n - 10 = -2*g + 4*g, -h = -n + g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + b = 6. Suppose -3*m + b*m - 834 = 0. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82420 rounded to the nearest 1000?\nAnswer: 82000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a tonne in kilograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11004 is divided by 510?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1395, 1739, 2083?\n\"Answer: 344*b + 1051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 122669911?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81 + -81.23. Let y = -0.27 + d. Suppose -v = -0*v - 2. What is the closest to 2 in y, 3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -4. Let i(k) = 2*k + 4. Let r be i(2). Let f = b + r. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**21\/((p**(-21)\/p)\/p)*(p\/(p**(-3\/7)\/p))\/(p*(p*p**(-4\/7)*p)\/p*p) assuming p is positive.\nAnswer: p**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-22)*(-65)\/260. Is c > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - n + 56 = w, -2*w = 4*n - 62. Suppose 2 = -5*x + 12. Suppose -y - x*y = -w. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**3)**(3\/20)*q*q\/q**(1\/2)*q**(1\/3) assuming q is positive.\nAnswer: q**(137\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 213 = 987. What is the remainder when 3094 is divided by l?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 6*c**2 - c + 8. Let z be (-13)\/(-2 + (-15)\/(-6)). Let s = 32 + z. Give x(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k. Let y = -59 - -63. Let c = -5 - -8. Let m(r) = y*r - c*r - r - 5*r. What is m(a(h))?\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4408 by -58.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -45408658 divided by -41507\nAnswer: 1094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -d**2\/2 + 785. Let j(f) = -f - 143. Give j(v(o)).\nAnswer: o - 143","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, w: 11}. Give prob of picking 3 w.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 34150.06783 to zero decimal places.\nAnswer: 34150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-140)\/(-30) + 4\/3. Let a(s) = -s + 1. Let n be a(-5). Are n and r non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 6*m)*((2 + 0 - 1)*(-1 + 2 - 2) + 5 + 0 - 3).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 2*w + w)*((4*w - 8*w**2 - 4*w)*(-94*w + 2 + 42*w + 48*w) + (2*w - w - 5*w)*(3*w**2 + 3*w**2 - 3*w**2)).\nAnswer: -20*w**4 + 16*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (82 + -15)) + 34.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/68 and (-273)\/30*10\/(-44)?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h - 114 = -21*h. Solve -h*v - 4*r - 14 = 0, -4*r + 0 = -3*v + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 416183.5 tonnes to kilograms.\nAnswer: 416183500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 7:23 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 626 divide 20285942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 20.9747982 and 0.2073?\nAnswer: 20.7674982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*i + 81*i + 6 - 6 as m*i + v and give m.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence az when two letters picked without replacement from {d: 1, z: 6, n: 3, a: 4, t: 2, x: 4}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**2 + 26*g**3 + 2*g - g - 25*g**3 to l*g**2 + m*g + c*g**3 + h and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u**3\/11 + 309*u**2\/11 + 31827*u\/11 + 1092727\/11 = 0. Calculate u.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171908 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3055 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(147)*-3 + (sqrt(147) - (-2 + sqrt(147))) + 1 + 1*(2 + -2*sqrt(147))*6)*-5)**2*1.\nAnswer: -52500*sqrt(3) + 829375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 8*p - 80. Let g be b(-13). Let s be (g\/(-56) + -7)\/(-1 + -1). Which is smaller: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15918729 is divided by 111.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 786047231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 383565?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from biacacaabcabap. What is prob of sequence cib?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2489*b**4 + 707*b**2 wrt b?\nAnswer: -59736*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11342 (base 5) to base 10.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(99) - -2*sqrt(99))*-4*1 + 4)*-6)**2.\nAnswer: -31104*sqrt(11) + 4619520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5.9 times 1251118\nAnswer: -7381596.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26647463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - (1 + 6 - 3). Let x(y) = 8*y - 4. Let m be x(-6). Calculate the common denominator of -43\/8 and j\/(-4) + (-1885)\/m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -4. Suppose 9 + 7 = m*r. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**3 + 3*m**2 + 10*m + 8. Calculate j(-3).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-6 + (10 - 19 - -91) + -11 + -11).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-6) - (-16)\/6. Suppose z*q = -2*q + 24. Calculate the remainder when 11 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 857, 855, 851, 845?\nAnswer: 837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6792543527 to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -69. Let p = z + -10. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l - 26 + 5*l + 2*l**3 + 12 + 20 to o*l**2 + y + n*l + g*l**3 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(78\/(-36)*(-184)\/598)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 3:54 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**5\/5 - 5*w**3\/3 + 117*w + 30. What is the derivative of h(l) wrt l?\nAnswer: 4*l**3 - 10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.106039 times -120?\nAnswer: 12.72468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 65856703 to the power of 1\/4, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g - f - 10 = 13*g, -179*g = -184*g + 4*f - 44 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/7, 0, -1\/7, 649\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**5\/20 + d**4\/4 + d**3\/2 - 4*d**2 - 5*d. Let o(t) be the first derivative of p(t). Suppose o(x) = 0. What is x?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -19878*r + 119276. What is u(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 291a26 (base 13) in base 10?\nAnswer: 1003554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 38\/(-8) - 2\/8. Let l be 166\/10 - 2\/m. Suppose -4*p - l = -61. Calculate the least common multiple of p and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13490482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 - -16.33?\nAnswer: -56.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/94, -1, 0, -2 in decreasing order.\nAnswer: 1\/94, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-3))\/((-2)\/6). Let w(j) = -g*j**2 + j + j**2 - j. Let k(i) = i**2. Give k(w(v)).\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**4 + 892*b**3 - 10506*b**2 + 39160*b - 43400 = 0. What is b?\nAnswer: 2, 5, 434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**2 + 5*z - 70. Let f(r) = -17*r**2 - 28*r + 351. Give -2*f(n) - 11*y(n).\nAnswer: n**2 + n + 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12030530 + 12033817.5542. Let h = 3288 - l. Let s = h + -0.45. Round s to four dps.\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 1208041?\nAnswer: 13\/1208041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*q + 5*t, -2*q - 3*q + 5 = -5*t. Let m(y) be the first derivative of y**2\/2 - 8*y - 15. Let r be m(8). Solve r = -q*x - 2 - 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 7*s**2 + 6*s - 6. Suppose 7*a - 463 = -127. Suppose -5*u + a = 3*m, 2*u = 2*m - 3*m + 17. Is j(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 143719*i - 148250*i + 448569 for i.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 f when two letters picked without replacement from {x: 6, f: 6}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3 + 77 = 0. Let w be (-1 - -7) + (-4 - (-2 - 2)). Does 30 divide o\/w*(-33)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(33)\/sqrt(3))**2 + 5 + sqrt(891) + 0.\nAnswer: 12 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d. Suppose -2*w + 12 = -0*w. Let i(o) = 0*o + o + w*o - 3*o. What is z(i(c))?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/324*8)\/((-368)\/72).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/204)\/(1\/3*2).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1392\/(-144))\/((6\/(-9))\/(-2))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5685120 by 8460.\nAnswer: -672","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 25, 24, 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -7f9?\nAnswer: -7f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2319*p**2 - 11*p + 4. Let g(f) = 1155*f**2 + 5*f - 2. Determine 3*d(i) + 7*g(i).\nAnswer: 1128*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -3 + 8 + 10 + 5 + 9.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.9 (b) -3 (c) 1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (25\/5)\/((-1)\/(-3)). What is the remainder when 36 is divided by u*(1\/(-4))\/((-78)\/208)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-3))\/(-3*(-1)\/9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-126)\/45)\/7 - 0. Which is the closest to t? (a) 0.2 (b) 0.5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -5 (c) 0.028\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000401758 rounded to 6 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 52698\nAnswer: -263490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - cc03a?\nAnswer: -cc036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = -4*a. Let i be (3\/6)\/(-1)*a. What is the first derivative of 4 - 3 + i*u**2 - 2 + u**2 wrt u?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -336 + 325. Suppose -5*k - 4 = -4*g, 0 = -2*k + 2*g + g + 4. Put -3, c, k in increasing order.\nAnswer: c, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -8*v - 0. Suppose 12 = -d - 4*a, -3*d - d = v*a + 15. Solve d = -j - 4, 2*k - 2*j - 20 = 3*j for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -23263?\nAnswer: -23256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**5 - g**4 - 9*g**3 - 7*g**2 + 4. Let l(i) = i**5 - 7*i**3 - 6*i**2 + 3. Let t(j) = 4*l(j) - 3*q(j). Factor t(u).\nAnswer: u**2*(u - 1)*(u + 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**3 - 67*c**2 + 254*c + 5211. Determine z(-35).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (5112\/9372)\/(6\/286) + -30?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46*0.415.\nAnswer: -19.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 3 (c) -5033730\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 431*d + 6678. Determine x(-16).\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 + -1?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 - 9*t**2 + 3.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8282889 weeks to seconds.\nAnswer: 500949.12672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 11:12 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wqj when three letters picked without replacement from {j: 2, q: 9, w: 2}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (88 - 168 + 84)*(-7*b + 9*b + 6*b) - b + 1 - 3*b + 9*b as j + g*b and give g.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from euebeubeeb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w**2 - 2. Let k(j) = 7*j**2 + 3. Let p(d) = -5*h(d) - 3*k(d). Let t(f) = 2*f**2 - 2. Give -3*p(r) - 2*t(r).\nAnswer: -r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22038, 24583, 27122, 29649, 32158, 34643?\nAnswer: 37098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -345282208 divided by 10790069.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -117053 divided by -3368\nAnswer: 117053\/3368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.3, 7, -1008 in descending order.\nAnswer: 7, 2, 0.3, -1008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -154, -39, 278, 899, 1926?\n\"Answer: 17*q**3 - q**2 - q - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeesesee. What is prob of picking 4 e?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + -33. Suppose 13 - 9 = f*b. Suppose 0 = -3*z - 3*g, -g = -b*z - 2*z + 15. Solve -5 - 1 = -2*q - z*x, -3*x + 6 = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 6:52 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2175 divided by -435\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68447701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**3*o**3 - 2*g**3*o**2 - g**2*o**2*x - 95*g*o**3 - 7*g*o**2*x - 2*o**3*x - 4*o*x wrt o?\nAnswer: -6*g**3 - 570*g - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 593370766?\nAnswer: 2, 296685383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 15.464, -2\/9, 6181 in increasing order.\nAnswer: -2\/9, 15.464, 6181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.5 (b) 1 (c) 82804 (d) -2 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2338412)\/(-336) - (3 + 26\/(-8)). Let a = m - 6963. Find the common denominator of 53\/24 and a.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18*20*32\/120. What is the common denominator of -43\/14 and -9 + 638\/p + 4?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 30 = -4*c. Let p = -3 - c. Find the second derivative of p*l**4 + l + 0*l + 0*l wrt l.\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -20*w. Let v(j) = -25*j**2 + 15. Give v(q(n)).\nAnswer: -10000*n**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eighteen fifths of a microgram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 192129401 to the nearest integer?\nAnswer: 13861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11113313 - 14?\nAnswer: -11113332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17210063 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/885?\nAnswer: -2\/885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9 less than -84455696.3?\nAnswer: -84455698.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + d**2 - 2*d. Let a = 54 - 57. Determine v(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 60*c**4 + c**3*i + 129*i wrt c?\nAnswer: 240*c**3 + 3*c**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 5*x - 6. Let j be v(-3). Put j, -3, -1 in increasing order.\nAnswer: -3, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1214440 (base 6) to base 12.\nAnswer: 31420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (5 + 5 + 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cyc when three letters picked without replacement from ygcycguueyyyuggy.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 657 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 + 10 + 5 - 3.\nAnswer: 3*m**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**5 + 12*f**3 - f - 120 wrt f.\nAnswer: 40*f**3 + 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 9*z**2 - 4*z - 10. Let c be q(7). Let r be ((-35282)\/8 - -2) + 15\/c. Let k = r + 11208. What is k rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ueho when four letters picked without replacement from {e: 6, u: 2, o: 2, h: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -237 and 1544498.\nAnswer: 1544261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*w + 143 = 48*w - 93*w. Let j be 2 + 3\/(6\/4). Suppose -v + 74 = m + m, -j*v + 281 = 5*m. Calculate the remainder when v is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 9*c = -8*c - 655, -4*i + 895 = -3*c. Let h(q) = -q**2 + 19*q + 28. What is the remainder when i is divided by h(19)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 248 + -244. Suppose 4*f + a*o - o = 156, o + 195 = 5*f. What is the highest common factor of 13 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*j - 40 = -93*j for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 2*p = -4*y + 1, 3*y + 836*p - 835*p = -7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212*z + 215*z + 144 = 0. Which is smaller: z or -187\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/v**(-4))\/v*v)\/v)**1*(v**(-17)\/v)\/(v*v**(2\/3)*v))**(-3) assuming v is positive.\nAnswer: v**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + 3. Calculate the greatest common divisor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, -0.3, -0.005, 16, 4 in increasing order.\nAnswer: -0.3, -0.05, -0.005, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 3*p + 2*p + (-2*p + 3*p + 0*p)*(-4 + 3 - 1) + 0 + 0 - p + 2 - 2 + 2*p)*(6 + 3 + 0)*(-p + 2*p + 4*p**4 + 0*p**4).\nAnswer: 36*p**5 + 9*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*p - 38*p + 7*p + 16*p - 10*p**3.\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(1\/4)*w)\/w)**(-7\/9)\/(w\/((w\/((w\/(w*w\/w**(-6)*w))\/w)*w)\/w)*w**(-7)))**15 assuming w is positive.\nAnswer: w**(2705\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-two fifths of a tonne?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 24 = -9. Solve -2*h + 15 = s*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69777382099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 64 (c) 401 (d) -9.1 (e) 1\/2 (f) 1\/5 (g) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13192 - 13186. What is the remainder when 694 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffyffffffyf. Give prob of picking 2 y.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8368\/47961 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, i: 3, a: 2, o: 3}. Give prob of sequence ooaa.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-12))\/((-2)\/3). Is 0 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13504958 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1817524 (base 11) in base 12?\nAnswer: -1049066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (112*y**2 + 66*y**2 - 50*y**2)*(-72 + 72 - 21*y).\nAnswer: -2688*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**6\/2520 + v**5\/280 + 34*v**3\/3 + 78*v**2. Let z(t) be the first derivative of c(t). Factor z(h).\nAnswer: h*(h + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241065 = 35*l - 150830. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2 (b) -0.02 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, -0.756, -124, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 5*g = 8*g + 615, -x + 3*g + 100 = 0. What is the lowest common multiple of 8 and x?\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, f: 2, p: 1, c: 3, l: 1, y: 3}. Give prob of sequence lypy.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 29504 - 58.0630573?\nAnswer: 29445.9369427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12 (b) 0.2 (c) -96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 0*b - 1\/12*b**4 + 11\/6*b**3 + 0 + 7*b**2. What is the units digit of u(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126457, -505882, -1138275, -2023636, -3161965?\nAnswer: -4553262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -449 and 4?\nAnswer: -1796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8436026cm in micrometers?\nAnswer: 8436.026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*o - 27, -3*o - 29 = 2*o - 4*l. Let h(p) = -p**2 + 4. Let d be h(3). Let r = d - o. Solve 8 = -r*x - 2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0*2\/(-10))\/(15\/((-60)\/(-8)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -2386 and -2386 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 10, -2, 2, -3, -197?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -5*h + 12. Let t(w) = -w**3 - 21*w**2 - 21*w - 9. Let x be t(-20). Suppose -u = 4*j - x - 8, -5*u = 5. What is b(j)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.06 + 1.06. Let f be -12 + 385\/33 - ((-32)\/12 + 3). Which is the nearest to -0.1? (a) j (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 8*k**2 - 10*k + 11. Let x be n(-9). Suppose -3*f + 46 + x = 0. What is the least common multiple of f and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-6 - -4 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence crrr when four letters picked without replacement from cccrrrr?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 3*p - 62 = 0, -20044*r + 20043*r + 4*p - 111 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 46 + 198 = 0. Suppose -11 = 2*k - r. What is the remainder when k is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15686\/7309 greater than or equal to -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 6. Let g be f(-6). Let n = 23 + -24. Sort g, n, 3 in decreasing order.\nAnswer: 3, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 12 (b) -0.2 (c) 2801\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and -24?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p + 0*p - 4*p**2 + 4 + 4*p + 10*p**2. Let k(h) = 5*h**2 + 7*h + 3. Let s(i) = 3*a(i) - 4*k(i). Factor s(y).\nAnswer: -2*y*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68578?\nAnswer: 2, 17, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -307\/23 + 30367\/2070. Find the common denominator of 58\/27 and a.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 40556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*n**2 + 5*n**2 - 19*n**2 + 80*n**2 - 17*n**2 - 20*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/2877076 and -33\/12692.\nAnswer: 54664444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 425, 398, 371?\n\"Answer: -27*g + 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -0*g + 4*g. Let o(b) = -1. Let u(d) = -d - 3. Let w(c) = 4*o(c) - u(c). Give w(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45 - 20*y**2 - 7 + 5 - 3*y + 33*y**2 - 14*y**2 to r*y + n*y**2 + d and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2. Let q(i) = -i + 12. What is -q(x) + 3*u(x)?\nAnswer: x - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -80\/439569 and 28\/460955.\nAnswer: 701112555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 27*c**2 - 16*c + 70. Is g(17) a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 240 and 480?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 0.05 (b) -267 (c) 0.3 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 10. Let b be r(-7). Let t = 3 - b. Suppose t = 3*a - 2*y - y - 171, 0 = -3*a - 3*y + 147. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62 - -61. Is 3*i + (-3 - 0 - -45) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56\/67 - -45\/134. Sort s, -5, 4\/7, 5 in increasing order.\nAnswer: -5, s, 4\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*t + 10. Let o be (-4 - t) + (2 - 1). Suppose -o*i + 3*i = -11. What is the remainder when 32 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 236 - 239. List the prime factors of 763 - (0 + (w - -2)).\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -28 - -6915?\nAnswer: 6887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2348965 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/3*123\/(-82).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 2*m. Let b(r) = 8*r + 6*r - 1 + r. Let s(g) = 7*g - 1. Let q(k) = -6*b(k) + 13*s(k). Give q(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -30 (b) 4 (c) 5 (d) -1\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -g**7\/252 - g**6\/360 + 59*g**5\/60 - 47*g**2. Let j(r) be the third derivative of c(r). Let h(u) = 2*u**2. Give j(h(b)).\nAnswer: -40*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**3\/6 - 12*l**2 - 32*l - 2. Let g(m) = 2*m. Determine f(g(h)).\nAnswer: -2*h - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**11*n*(n**(-3)*n*n)\/n*n**(16\/3)\/(n*n**(1\/10)) assuming n is positive.\nAnswer: n**(457\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -3*i**4\/4 + 269*i**3 - 53865*i**2\/2 - 54675*i - 1053. Solve d(h) = 0.\nAnswer: -1, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -a**2\/2 + a - 15. What is s(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c**3 + 6*c**2 + c + 5. Let s be (-21)\/(-28) - (-391)\/(-68). Let t(h) = 2*h**3 - 3*h**2 - 2. What is s*t(f) - 2*g(f)?\nAnswer: -2*f**3 + 3*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = f + 5*b - 4, 3*f = -2*b + 6. Factor 0*a**4 - 2*a**f - 2*a**2 + 0*a**2 + 4*a**4.\nAnswer: 2*a**2*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1987 * -0.18\nAnswer: 357.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -74 and -4410004?\nAnswer: 326340296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*m + 11*m + 15*m - 9*m + 21*m + 13*m.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 761465?\nAnswer: 5, 152293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 12:00 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 10*b - 12. Let d be v(8). Let r(s) = s**3 - s**2 - 6. Calculate the lowest common multiple of 16 and r(d).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3632, 3691, 3752, 3809, 3856?\nAnswer: 3887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 708955124 and 0.3.\nAnswer: 212686537.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4029038801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**3 + j**2 - j - 1. Let h(m) = 61*m**3 + 6*m**2 - 6*m - 6. What is h(u) - 6*l(u)?\nAnswer: 73*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -145.6 + 134. Let x = -4705.0113 + 4693.4. Let a = x - w. What is a rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = k + 4*k + 4*t, -4*k + 2*t - 2 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 473, 6, 10, -368 in decreasing order.\nAnswer: 473, 10, 6, -2, -368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 31, 37, 31, 1, -65, -179?\n\"Answer: -2*p**3 + 6*p**2 + 2*p + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s - 8 = 2. Let n be 3 - (s - (4 - 252\/32)). Let g = -4 + 3.7. What is the smallest value in -0.1, n, -2\/11, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (36\/15 + -2)*-15. Let b be ((-4)\/(-6))\/((-2)\/a). Solve -1\/4*d**3 + 0*d**b + 1\/2 + 3\/4*d = 0 for d.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l + 1. Let q be r(3). Let j be (-20)\/200*-230 + -12. Solve 20 = j*f - q*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjsjs. Give prob of sequence ss.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 2*f + j = 1, 0 = -3*f + j - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 50 = -20. Let k = 0 + g. What is the greatest common divisor of k and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46490 divided by 5.\nAnswer: -9298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13808 - -13807.988934. Round p to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u**2 - 15*u - 12. What is f(9)?\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1580)\/(26 + -46) - -22. Calculate the greatest common divisor of 101 and o.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 - 2*a. Let c be d(4). Suppose -v = 5*u - c, -4*u + 18 = 3*v - v. Suppose -z = 4*t - 121, u*z - 78 = -5*t + 2*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 28 = -5*z - 3, 2*z = 4. Suppose -15 = -g*c + 10*c. Calculate the lowest common multiple of 21 and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2*sqrt(22) - sqrt(22)) + -3*-2*sqrt(22))\/(6*sqrt(10)\/(sqrt(5)*2)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -6*q**3 - 40*q**2 + 9*q + 4. What is the remainder when 349 is divided by v(-7)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, f: 3}. Give prob of sequence fff.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 25791 * 0.1\nAnswer: 2579.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**3 - 16*l**2 - 33*l + 31. Let y(w) = -7*w + 8. Calculate the remainder when s(-4) is divided by y(-6).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - k - 5. Let v(d) = 2*d**2 + 17*d - 4. Let g be v(-9). Suppose u = g*u. Give i(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d + 7*d - 4*d + 2*d - 3 + 3 + (-1 - 4 + 3)*(12*d - 6*d + d) - d - 5*d + 14*d + 1.\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/3)\/(2\/60*-1). Let y = 44 + -14. Calculate the greatest common factor of j and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 29, 398, -108, -4 in descending order.\nAnswer: 398, 29, -3, -4, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/181, -73, 2435 in decreasing order.\nAnswer: 2435, 3\/181, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(12) + ((sqrt(12) - (-2 + sqrt(12)) - sqrt(12)) + sqrt(12))**2 + 1)*-2.\nAnswer: -14 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 3:13 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -4308 bigger than 3\/1831?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 460731?\nAnswer: 460734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -809 divided by 402.\nAnswer: -809\/402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -2\/5, 1\/2, -4, -0.07?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = q + 8*v - 20, -4*q + 26 = 2*v. Solve 4*c - 11 = q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a day?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, k: 3, z: 3, h: 1, i: 5}. Give prob of picking 2 i, 1 w, and 1 h.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -4*i. Suppose 4*o - 4*y = 32, -5*o - 2*y = -i*y - 26. Suppose 0 = -3*l + 3*z + o, -5*z = 4*l - 4 - 22. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 497, 496, 495?\nAnswer: 494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9\/4 (b) -36 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, z: 1}. Give prob of sequence sz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/6*1*(-120)\/18. Suppose 0 = -4*r - 6*r + f. Suppose 0*h + 46 = 2*h. What is the smallest common multiple of h and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m*(m**(-1\/10)\/m)\/m*m))\/(m*m**9)*(m**(-3))**21)**(-3\/8) assuming m is positive.\nAnswer: m**(2187\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/119 and -73\/63.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 279 = 3*d - 0*d, d - 2*y - 93 = 0. What are the prime factors of d?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 0. Let j(x) = -x + 1. Let i(t) = 3*t - 2. What is b*j(d) + i(d)?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 583207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 564\/14 - (110\/(-77))\/(-5). Suppose 67*h**4 + 15*h**5 - 66*h**3 - y*h**4 - 12*h + 9*h + 36*h**2 - 36*h**4 + 27*h = 0. Calculate h.\nAnswer: -2, -2\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 + -90?\nAnswer: -a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -9. Sort -5, -3, f, 5 in ascending order.\nAnswer: -5, -3, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 654981, 655096, 655211?\n\"Answer: 115*p + 654866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 237107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 10690920?\nAnswer: 53454600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i - 6. Give a(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6942)\/445)\/(((-1539)\/190)\/27).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0, -14, 1, -5 in ascending order.\nAnswer: -14, -5, 0, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6, 35, 146, 363, 722, 1259, 2010, 3011?\n\"Answer: 6*h**3 - h**2 + 2*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12591, 12591, 12595, 12603, 12615, 12631, 12651?\nAnswer: 12675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10841*v + 3135 = 10786*v for v.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22332205 (base 6) in base 10?\nAnswer: -680909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -5. Let t(o) = 3*o - 3. Let c be t(3). Let y(q) = -q**2 - c + q - q. Let l(u) = -u**2 - 5. Calculate b*l(v) - 5*y(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4617464, 9234866, 13852270, 18469676, 23087084, 27704494, 32321906?\nAnswer: 36939320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sslllsssls. Give prob of picking 1 l and 2 s.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-7 + 19) - -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - 6*r + 12*r - 4*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 - 3*s - 1. Let j be k(3). Suppose 0 = p - j. What is the highest common divisor of 32 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 208*v**2 - 7916*v + 73. Determine w(38).\nAnswer: -383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24396079 to the nearest integer?\nAnswer: 4939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19580?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ihh when three letters picked without replacement from {r: 3, i: 8, h: 3, m: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71 + -67. Suppose -n - b*f = -50, -104 = -3*n - 4*f + 70. What is the remainder when 371 is divided by n?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8057838 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**2 + 13*a + 14. Let b be v(5). Suppose -4999 = -r - b*s, -7*s - 19963 = -4*r - 12*s. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -68*m + 9. Let t be b(6). Let v = -259 - t. Suppose j - 8 = 5*j, -5*z - 5*j + v = 0. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 17*a**3 + 5*a**2 + 9*a + 67. Let c(s) = 3*s**3 + s**2 + 2*s + 1. What is 5*c(q) - i(q)?\nAnswer: -2*q**3 + q - 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/50 - 318\/(-60). Let r(p) be the first derivative of -3*p**2\/2 + 14*p + 1. Let n be r(m). Is n > -1\/100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -441590?\nAnswer: -441590.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*g + 35*g - 1120 = 38*g for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*j + 4*i + 16 = 58*j, -3*j = 2*i + 10 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, j: 4, x: 6, g: 2, t: 1}. Give prob of picking 2 g and 1 j.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -76 + 72*i + 29*i - 11*i + 43*i + 39*i wrt i?\nAnswer: 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 447 = -x + 4*i + 2682, 4*x - i - 9000 = 0. Let o = x - 1061. What are the prime factors of o?\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 14*k**2 - 22*k - 14. Calculate a(-12).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**10)**(-22\/9)\/(w*w**9)**(-12\/5))**2 assuming w is positive.\nAnswer: w**92","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12\/9*(-163659)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45975.3 hours in days?\nAnswer: 1915.6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of j**2 - 1. Let v(m) be the first derivative of m**2 - 3. Give b(v(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 149*p + 13. Let h(r) = r. Calculate h(b(k)).\nAnswer: 149*k + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -26*i**2 - i + 2. Let k be b(-1). Let f = k + 23. Let j(o) = o**3 + o - 1. What is j(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.6168 and 24.3.\nAnswer: 27.9168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.078 + -0.077898. What is l rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**3 + 54493*f**2 + 742071960*f - 8169386544 = 0.\nAnswer: -27252, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (184\/(-18) - -12)\/((-28)\/(-756)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 849*k - 5065. What is z(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 1. Let q(r) = r**2 - 3*r + 1. Calculate -p(m) - q(m).\nAnswer: -m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 322 and 49082?\nAnswer: 343574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 38739, 4, 3\/7, 14, -2\/9 in decreasing order.\nAnswer: 38739, 14, 4, 3\/7, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 1372*w + 12465. Let q be r(-9). Calculate the greatest common divisor of 15171 and q.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxe when three letters picked without replacement from {l: 4, e: 3, x: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 17, 4, -587432\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -7, -2063, -1\/3, 2\/57, 7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*s - 174*s - 1630 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-39*((-4)\/3 - -2))\/(-2). Let a be g\/2 + 3\/(-6). Let c(b) = -a*b + 7*b + b. Let z(q) = 6*q**2. Give z(c(n)).\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1325, 2651, 3977?\nAnswer: 5303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2, -23, -8 in ascending order.\nAnswer: -23, -8, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 6 + 4 + (-4 - 2 + 8)*(2 + 1 - 2))*(-4*r + r + 4*r) in the form l*r + m and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-247112)\/(-144807) + 0 + -2 - 36\/(-117).\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 37*x**2 - 40*x + 84. Let v be d(38). Suppose -3*q + 116705 = -4*f, -q + v*f - 4*f + 38907 = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 821070918?\nAnswer: 2, 3, 47, 107837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 + 53.3. Let l = -6 - n. Let o = l - -0.4. Is 2\/5 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l - 39. Give y(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f + 13. Let p be z(5). Solve -p*l = 5*j + l - 29, -3*l - 2 = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -15*k**3 + 11*k**2 - 2*k + 7. Is f(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6548172297.\nAnswer: 3, 5021, 434719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h + 12*h - 5. Let x be -1*h - (-30 - -20). Suppose 0 = -2*r, -4*r = 3*q + 2*q. Solve x = -3*s - q for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -38 + 15 - -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1900))*-4 - (sqrt(1900) - (sqrt(1900) + 2 + -3))) + -5 + -4.\nAnswer: -40*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 3*b. Let i be w(3). Suppose i = 2*k - 6*k. Suppose -4*v + 10 + 2 = k. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 759 or 742?\nAnswer: 759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 129137047463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 6:01 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s**2 + 4*s + 27. Let l(h) = -2*h + 124. Determine l(c(b)).\nAnswer: -10*b**2 - 8*b + 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 214 and 3531.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/256 and 149\/12.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/10)\/(756\/(-30)). Are p and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1199*z + 454*z + 196*z**2 + 49*z**2 wrt z?\nAnswer: 490","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2073, -1589, -767, 393, 1891, 3727, 5901?\n\"Answer: 169*l**2 - 23*l - 2219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = -j - 107. Solve -4*b = 4*y + j, -3*y - 5*b = 2 + 8 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68616 divided by 3\nAnswer: -22872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/7 (b) 20 (c) -0.5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -613165*k + 335704.\nAnswer: -613165","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.4 (b) -2 (c) -5 (d) -111.8 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 2*x - 4 - 6, 20 = -2*u + 4*x. Suppose u = 2*c - 10, 4*g - 46 = -0*c + 2*c. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3 = -k. Let v = 1.13 + -5.13. Which is the closest to k? (a) -1 (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38304047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 292177458 >= 292177460?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1110.15 and -0.1?\nAnswer: -111.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/3 + 3572*z\/3 + 1594898\/3.\nAnswer: 2*(z + 893)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 + 1672*w**2 + 16224*w - 39168.\nAnswer: 4*(w - 2)*(w + 12)*(w + 408)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 12:56 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 15*y - 26. Let c be h(11). Suppose 0 = -3*p + 9*p + c. Let w(t) = -t**2 - 3*t + 3. Calculate w(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 89, 697, 2315, 5447, 10597?\n\"Answer: 84*h**3 + h**2 + 17*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-17)\/(-1*(100\/12 - 8)). Solve -72 = -7*r - j for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130231*v - 2*v**3 + 130231*v.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 279, 301, -195, -1467, -3773?\nAnswer: -7371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 3*m = -15. What is the remainder when 29 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 15.78436 nanometers?\nAnswer: 0.00001578436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 267 = -5*x, -5*x + r + r + 247 = 0. Let o = 106 - x. Let d(t) = -t**2 - 7*t + 10. Let h be d(-4). What is the highest common divisor of o and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7872409*c + 4951531?\nAnswer: 7872409","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7934512739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/(-495)*11*2\/3. Which is the second biggest value? (a) d (b) 190 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m - 40. Let x be (-10)\/(-50) + 111\/(-5). Suppose 4*f - 22 = 2*f. What is the least common multiple of v(x) and f?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 149 and 3?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + (sqrt(19)*1 + -1)**2).\nAnswer: -2*sqrt(19) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = t - 3*s + 3, -5*s + 11 = -3*t. Suppose 4*l = l + 45. Let n be l*1 - (14 - 16). Solve 3*v - 5 = -t*b - 17, -2*b - n = 5*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1677*p = -153*p - 16764 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*j + 1254, 5*w + 3*j - 1574 = -j. Suppose 319*g = w*g. Sort g, 21, -5 in decreasing order.\nAnswer: 21, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (17 + 7 - 60)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 36. Let u = 11 + g. Which is the closest to 0? (a) 0.4 (b) u (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2182*q - 2*q**2 - q**2 + 2 - 2281*q)*(3*q + 0*q - 4*q)*(52*q**2 + 55*q**2 - 98*q**2).\nAnswer: 27*q**5 + 891*q**4 - 18*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 71985000 to the nearest 1000000.\nAnswer: 72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28359, -28357, -28355?\nAnswer: -28353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 1421*h - 37633. What is a(-27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 202.00572 - 202. What is f rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 6*a**3 + 1. Let w be u(-1). Let b = w - -8. Solve r - 5*i = -11, -r - b = 5*i - 12 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 10:17 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*((-4*q**2 + 2*q**2 + 3*q**2)*(5*q - q - 5*q) + (-2 + 2 - q)*(-q**2 + 2*q**2 + 0*q**2)).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2276 + -1772. Is u a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 18 = -3*l, 3*l + 90 = 3*s + 2*s. Let w be -3 - -4 - (-2)\/1. Suppose q = -w*q + 36. Calculate the greatest common divisor of s and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1088 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2088845 + 5596113 = -2*i, -r + 3*i = -876817. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1192 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1043055 and 1575.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 131*y**2 + 28*y + 93. Is p(-4) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in -1\/10, -2, 26?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**2\/4 + 624183*q\/4 - 3589449 = 0 for q.\nAnswer: -208084, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c*(c\/(c**(1\/9)*c))\/c)))\/(c\/c**(-16)) assuming c is positive.\nAnswer: c**(-145\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 7*m**2 + 12*m - 7. Let z be o(8). Suppose 5*k + 3*h = 9, -h - z = -5*k + 4*h. Calculate the greatest common divisor of k and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00031 to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*l**5 - 41004*l**4 + 899982*l**2 wrt l?\nAnswer: -1440*l**2 - 984096*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/1149 - 255\/383. Which is the smallest value? (a) s (b) 5 (c) -8 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 132 = y. Suppose 0 = 5*a - y - 111. What is the highest common divisor of a and 248?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -1397*n + 16982. Determine c(12).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.945194 litres to millilitres.\nAnswer: 945.194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13674 = -30*t + 8796. Let f = -408 + t. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14342112132 + 1?\nAnswer: -14342112131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 3, x: 1, d: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3482775139?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 4*o - 3. Let c be a(-6). Suppose d + c + 14 = q, 5*q + d - 91 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 616 and 84420?\nAnswer: 1857240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 19373, 46, -4 in increasing order.\nAnswer: -4, 46, 19373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301 is divided by 98?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -24*d**2 - 2. Let q(t) = -4*t. Calculate n(q(v)).\nAnswer: -384*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 - 5. Let k(h) = 7*h**2 - 4*h - 5. Let s(n) = -57*n**2 + 33*n + 39. Let a(l) = -33*k(l) - 4*s(l). Determine -4*a(c) - 7*b(c).\nAnswer: -2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 294, 597, 904, 1221, 1554?\nAnswer: 1909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1825?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*n**3*x**3 - 12*n**3 + 378*x**3 wrt n.\nAnswer: -57*n**2*x**3 - 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*c**2 - 27*c**3 - 2*c + 32*c**3 + 9*c**2)*(0 + 0 - c**2).\nAnswer: -5*c**5 + 13*c**4 + 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -78 + 138. Suppose 4*t + v = 2*u, 2*u + 2*u - 87 = -3*t. Solve 0 = 3*x + 12, j + x - u = 6*x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 16*q**3 - 14*q**2 - 7*q + 8. Let u(c) = -8*c**3 + 6*c**2 + 3*c - 3. Give -7*u(x) - 3*v(x).\nAnswer: 8*x**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -10 - (-8 + 5) - 27.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -20. Let t(z) = 11*z**2 - 4*z + 24. Does 11 divide t(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3440365*g**2*n**2 + 4*g**2*n - 37989*g*n**2 + g*n - g - 2*n**2 + n + 4 wrt g.\nAnswer: -6880730*n**2 + 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, j: 2, s: 1, m: 4}. Give prob of sequence sjj.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1886 is divided by 96.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 125.7 + -126. Let h = -0.2 - -0.1. Which is the third biggest value? (a) j (b) h (c) 4\/7 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10000146 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020550 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 - 16*f + 40. Let s(b) = b**2 - 8*b + 21. Let t(u) = 6*h(u) - 11*s(u). What is t(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**8\/168 + u**7\/105 + 13*u**2\/2 - 16*u. Let c(d) be the first derivative of z(d). Factor c(m).\nAnswer: 2*m**4*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20618 + 20541. Which is the nearest to -2? (a) 0.15 (b) v (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2140 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 9*z**2\/4 + 269*z\/6 - 10\/3 = 0.\nAnswer: -20, 2\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 15 = -0. Suppose n*c = -4*w - 456, 3*w = -4*c - 3 - 362. Let z = -62 - c. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 13*q - 8. Let x be o(-8). Let u = x - -36. Let j = 163 + u. Does 21 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 7*g + 218. Suppose -4*v - 120 = 2*t, -v - 33 = -5*t + 8. Let i be m(v). Solve -3*p = -7 + i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 22*a + 1968. Determine d(-90).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 9*z. Let u(t) = 11476*t. Determine f(u(b)).\nAnswer: 103284*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (69\/(-253) + 10\/(-165))*(-1)\/((-3)\/21).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -b1501 (base 12) to base 8\nAnswer: -702221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 230 - 706. Suppose v*z = 241*z - 287. What is the highest common divisor of 697 and z?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - z + 16 = 2*a, -2*a - 10 = -4*z. Suppose a*r - 57 = -5*f - 0*r, r + 5 = f. Calculate the remainder when f is divided by (1 - -1)*-1 + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b - 7. Let y be s(-6). Let f(a) = a + 1. Suppose 0 = 2*r - 6 + 2. Let q(o) = o**2 - 4*o**2 + 0*o**r + o**2 + 1 + 4*o. Determine y*q(c) + 2*f(c).\nAnswer: 2*c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -9\/5 (c) -1\/10 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*h**2*q**2 - 36231*h**2*q + 22406*q**2 wrt q?\nAnswer: -6*h**2 + 44812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (0 + 24 + -181 + 153)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2174 is divided by 380.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 1534*q + 282219. Calculate p(166).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2698057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 1:52 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 40 = 11*m. What is the hundreds digit of (1422\/m)\/((-13)\/26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**4\/3 + 140*n**3\/3 - 1698*n. Factor k(o).\nAnswer: 4*o*(o + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50337 and 612.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.1 - 2. Let b be (-21)\/(-420)*30\/(-4). What is the nearest to a in 2\/7, b, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19759471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -9. Let b be (1 - (-8)\/(-1))*-1. Solve -2*n = -2, -3*x + u*n + b = 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 8612.084 weeks?\nAnswer: 5208588403200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-186)\/(-248))\/(333\/(-25752))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r - 4. Let t be w(-3). Find the third derivative of 4*g**3 + 4*g**2 + 0*g**3 - t*g**2 wrt g.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5*(-66)\/(-495))\/((-3)\/3320370). What is i rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*q**2 + 19*q**2 - 32 + 32.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**3 - 240*q**2 - 206028*q + 58647888 = 0.\nAnswer: -468, 354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2847.4 - 2847.4000141605. Round f to 7 dps.\nAnswer: -0.0000142","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 9\/214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 5*n**2 + 3*n + 5. Let v be (8\/(-5))\/((-30)\/(-75)). Calculate j(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 134*d - 120*d - 112. Let h(m) = -5*m + 19. What is h(d)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51989\/10 + -5205. Calculate the common denominator of (-5)\/(-15) - 79\/66 and g.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14.6 in -2\/11, -1\/5, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3479*s**3 + 8 - 3 - 5 + 3530*s**3.\nAnswer: 51*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1463.\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 279438931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-4)\/i)\/i)\/i)\/i*i**(-1)*i*i*i**(-25)*i**(-2\/27) assuming i is positive.\nAnswer: i**(-866\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/7)*g**(-4) assuming g is positive.\nAnswer: g**(-26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2534 + 32?\nAnswer: 2566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -0.0984586?\nAnswer: 0.0984586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 5?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/1)\/((-5)\/(30\/3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1357 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1178916 nanometers in millimeters?\nAnswer: 0.0000001178916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20\/3493 + -442411\/209580. Let a = 5882 - 82283\/14. Find the common denominator of c and a.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -14 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 749.15 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003392 rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*v**2 - 6*v**2 - 3*v**2)*(-128 + 128 - 3*v)*(-2 - 3 - 3) as s*v**3 + k*v**2 + b*v + c and give s.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11496\/59, 1, -4, 3, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(1900) + sqrt(1900) + -2 + 5)*3)**2 + 5)*4.\nAnswer: 4320*sqrt(19) + 273940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 368 = p, 3*s - 4*s + 1078 = 3*p. Calculate the remainder when (p\/50)\/(3\/20) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-2)*16\/2. Let f be h\/36 - 230\/(-3). Calculate the greatest common divisor of f and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30776*b**5*y + 805*b*y + y wrt b.\nAnswer: 615520*b**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 - 100340?\nAnswer: -100414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14250179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 924397.8 tonnes to nanograms.\nAnswer: 924397800000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 49*x**3 - 34*x**2 + 3. Let a(j) = j**2 + 1. Let q(m) = -3*a(m) + l(m). Find the third derivative of q(k) wrt k.\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2060, 2268, 2544, 2888?\n\"Answer: 34*m**2 + 106*m + 1920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-49)*-7*(-1456)\/(-39)*1?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 65\/3569 (c) -2\/3 (d) 0 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11268\/43194 + 270\/23 - 125\/11.\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 17, 4, -33, -5 in descending order.\nAnswer: 17, 5, 4, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12112 (base 3) in base 10?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6244659 (base 10) to base 8.\nAnswer: 27644463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -214?\nAnswer: -5\/214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 184 + 142. What are the prime factors of k?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c (base 15) to base 11.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -8 - 10) + 6 + 9 + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21948*c - 22122*c + 498369*c.\nAnswer: 498195*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 32194 = -4*f, 46*z + f - 51540 = 38*z. What is the remainder when z is divided by 27?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*u - 9. Let b = 14 + -15. Let p be b - (-3 + 3) - -3. Solve 5*t + c = -7, -7*t - u = -2*t + p*c for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1745856 and 678944.\nAnswer: 12220992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1822219522 to the power of 1\/5, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -6 and -4262\/583 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/10, 2\/29, 0, 216, 0.1.\nAnswer: -3\/10, 0, 2\/29, 0.1, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t - 58*t**2 + 45*t + 6*t - 4 + 57*t**2 - 53*t. Let g(u) = u**3 + 5*u**2 - 6*u. Let b be g(-6). Calculate o(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nns when three letters picked without replacement from dnnnpsnsnnnpnnddpnp?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10833 + -10823. Solve 10*l = 12*l - j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22038 - -22269. Calculate the smallest common multiple of 1050 and h.\nAnswer: 11550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 10:53 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 4 = 5*t. Suppose -211 = -3*g + 5*q, t = 5*q + 27. Calculate the remainder when g is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203740487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18066 = -8*i + 63322. List the prime factors of i.\nAnswer: 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20800)\/23296*72\/10.\nAnswer: -45\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 18329315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**2*l**2*z + 1422*c**2*l**2 + 6*c**2*l*z + 18*l**2*z**3 + 648*l*z**2 + 9*z**3 - 24*z wrt l.\nAnswer: 2*c**2*z + 2844*c**2 + 36*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) 2\/11 (c) 2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**3 - 594304 + 594304.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 420.6 * 0.082.\nAnswer: 34.4892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05 greater than or equal to -314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 5*r**5\/7 + 83*r**4\/7 + 411*r**3\/7 + 91*r**2 + 124*r\/7 - 180\/7 = 0.\nAnswer: -9, -5, -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 7*i**3 - 104*i**2 - 238*i. Determine k(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 divided by 4.\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1892)\/473*-5*1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2820 + 2817. Suppose 0*f = -f + 3. Let p be f\/(-12)*-5 + -2. Which is the biggest value? (a) 0.3 (b) 1\/10 (c) v (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 573 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 21 - 8 - ((-1 - -1) + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**4 + n**4 - 4*n**4)*(-6 + 7 + 3) + (1 - 3 + 1)*(-n**4 + 2*n**3 - 2*n**3).\nAnswer: -3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 1442482*k + 8654895. What is o(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 16*r**2 + 18*r + 18. Let c be y(17). Suppose 2*f + 6 = 0, -p + 2*f + f - c = 0. Let u = 91 + p. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 77 = 11. Let o = z - -4. Suppose -3*v + 24 = 2*n, 0 = -2*n - 2*n - 3*v + 42. Calculate the remainder when o is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + n = -5*t + 29, -73 = -5*n + 4*t. Let q(w) = -w**2 - 7*w - 6. Let o be q(-5). Find the third derivative of -n - l**o - 2*l**2 + 13 wrt l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -34 (b) 0.07 (c) -3\/5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 4*o**5 + (11*o**3 + 3*o**3 + 0*o**3)*(3*o**2 + 0*o**2 - 2*o**2) + (2 + 2 - 3)*(38*o**5 - 29*o**5 + 107*o**5).\nAnswer: 126*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1*(4 + 4 + -89) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.4 (b) 39 (c) 23 (d) 1\/12467\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1836.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -106706 + -156?\nAnswer: -107064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 921778 and 77077.\nAnswer: 1573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 a when two letters picked without replacement from {a: 1, t: 3, b: 3, n: 6, w: 5}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m**2. Determine g(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 h, and 1 f when three letters picked without replacement from eheeeeeeeefeefhhfee.\nAnswer: 39\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - -1 - (0 + -6). Let p be -3*(-1)\/((-9)\/3). Let b = 1 - p. Solve b*k - t = 5*a, -1 + 5 = -a - k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*l - 8 = 0, 5*n - 18 = -2*l - 2. Calculate the least common multiple of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*y**3 - 2)*(-5 + 5 - 2*y) + 12*y**4 + 29*y**4 + 55*y**4.\nAnswer: 100*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.22 to one decimal place.\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1926.636ml in litres?\nAnswer: 1.926636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1361257517?\nAnswer: 61, 22315697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -m + 53, 4*m - 285479 + 285419 = -4*i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -173200 rounded to the nearest 1000?\nAnswer: -173000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 377 or 410?\nAnswer: 410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**4\/6 - 2*m**3\/3 - 3*m**2\/2 - 3*m. Calculate the remainder when 25 is divided by i(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (-2 - -6) - 6. Sort r, 2\/17, -0.5 in increasing order.\nAnswer: r, -0.5, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1040061949.\nAnswer: 739, 1407391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3808032 to the nearest integer?\nAnswer: 1951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70389 and 1584.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 58*p - 180. Determine q(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1007 (base 13) to base 12.\nAnswer: 1338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19187 is divided by 2721?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.1 * 1.994.\nAnswer: -4.1874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 241851299407?\nAnswer: -241851299404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**3 + 2*f**2 + 5*f + 6. Let v be x(-4). Suppose -v + 627 = n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**31*u**(-1\/18)*((u\/(u*(u*u**(-2\/19)\/u*u)\/u*u)*u*u)\/u)**(-3\/31))**11 assuming u is positive.\nAnswer: u**(3607615\/10602)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0.028 (c) 823\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvlm when four letters picked without replacement from {l: 4, m: 7, v: 7}?\nAnswer: 49\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2485, -4956, -7427, -9898, -12369, -14840?\nAnswer: -17311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/3 + 4\/6. Suppose -2*w - 6 = 0, -t + 2*t - 5*w = 18. Let r be (-33)\/22 + 11\/2. Solve l*p - t*f + 11 = -p, f - r = p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s - 1 + 1)*(4 + 0 - 2) + 3*s + 511 - 767 + 533 to the form b*s + q and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -l**3\/6 + 5*l**2 - 3*l. Is 4 a factor of r(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -43967610 divided by -206?\nAnswer: 213435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-47 - -45) + 2 + -19\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163148 divided by -81574.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/30*(-2)\/(-2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, l: 3, s: 1, o: 5}. What is prob of picking 1 l and 1 s?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 31\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000428519 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18733.1 + -18733. What is the nearest to 0 in -248, a, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 4 = 2*x, -4*x = 2*n - 7*n - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9295 is divided by 7909.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 99 - 33 = 0. What is the highest common divisor of 165 and g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4026)\/132)\/((20\/80)\/((-1)\/(-2)))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 460*x**3\/3 - 69*x**2\/2 + 69*x + 69. Let j(k) = -27*k**2 + 4*k - 4. Give 4*a(n) + 69*j(n).\nAnswer: -23*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*3*(sqrt(66)\/(-4*(-4*sqrt(6) - sqrt(6))))**2*-5.\nAnswer: -99\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 0*p + 0*p)*(6*p**4 + p**4 - 6*p**4).\nAnswer: p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (8\/10)\/(((-56)\/12)\/((-30)\/(-18)))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(-4\/9)*p)\/(p**(-6)\/p))\/((p\/(p*p**(2\/5)))\/(p\/p**(-3))))**(-1\/6))**(-25\/6) assuming p is positive.\nAnswer: p**(1345\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -3121311030?\nAnswer: 3121311021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - b + 10. Let d = 8 + -2. What is the remainder when r(0) is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 256694765, 513389531, 770084297, 1026779063, 1283473829, 1540168595?\n\"Answer: 256694766*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1090.\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (-3)\/(-9) - 14\/(-6). Suppose 0 = -n + 2*q + 31, 3*q + 95 = t*n + 8. Suppose 26 + 4 = 3*k. What is the remainder when n is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -2\/7, -2\/3, -1, 2, 99\/2 in descending order.\nAnswer: 99\/2, 2, 0.3, -2\/7, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 103 - 112.6. Let j = g + -0.4. Are j and 0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31641900 to the nearest 1000000.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 196? (a) -1 (b) -0.05 (c) 9\/2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 15870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000802486 rounded to 7 dps?\nAnswer: -0.0000802","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -604003203?\nAnswer: -604003206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 0.1297\nAnswer: 0.05188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(108) - (sqrt(189)\/sqrt(9) + sqrt(21))\/sqrt(7)) + 4)*-3 + 2 + -3)**2.\nAnswer: 1248*sqrt(3) + 7081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5855)\/1430 + 8\/(-44) + 4 and -44\/65.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52 (base 11) to base 7.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -221, -180, -139?\n\"Answer: 41*p - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10064? (a) -0.1 (b) 6 (c) 106\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2 - 6*m - 1 - 4 to the form r*m + o and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 172*g**2 - 515*g**2 + 171*g**2 - 82 - 200 + 169*g**2 to v + s*g**2 + r*g and give v.\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + (0 + sqrt(162) + sqrt(162))**2 + 5 - (sqrt(98) + -3 - (1 + sqrt(242) - sqrt(242) - sqrt(242))**2)).\nAnswer: -174*sqrt(2) + 5406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -354350?\nAnswer: -354344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 3*t - t**2)*(0*t - 4*t + 2*t) + 5 + 2*t**3 - 5 - t**3 - 2*t**3 + 4*t**3 + (-3*t + 2*t**2 + 3*t)*(-2*t + t + 2*t) - 3*t**3 + 0*t**3 + t**3.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121 + -121?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k - 1. Let l(u) = -u**2 + u + 4. Let y(s) = l(s) + 2*p(s). Suppose -10*w + 14*w = 40. Suppose 12*t = 7*t - w. Determine y(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1325 + 1332. Let g(b) = -7*b**3 - 7*b**2 + 7. Let m(l) = -l**3 + l**2 - 1. Determine q*m(n) + g(n).\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-32)\/((r\/((r*r**(5\/2))\/r))\/r)*(((r**(-2\/3)*r*r)\/r*r)\/r*r)**(1\/3) assuming r is positive.\nAnswer: r**(-523\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2265 + 156299\/69. What is the common denominator of t and 40\/21?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 2\/3 (b) 0 (c) 0.013\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 193*v + 1539. Let j be g(-8). Which is the biggest value? (a) 1 (b) -0.01 (c) -40 (d) j (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2159*i*r**2 - 140290*i + 8*r**4 wrt r?\nAnswer: -4318*i*r + 32*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -17, -47, -97, -173, -281, -427, -617?\nAnswer: -857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247835?\nAnswer: 5, 7, 73, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*c**5 - 7*c**2 + 275*c**2 - 987*c**5 + 25*c**2 + 79*c**2 wrt c?\nAnswer: -59820*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - f)*(18 - 35 + 151).\nAnswer: -134*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -2*s + 9, 6*s - 3 = 9*s for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzxpkoxzx. What is prob of sequence xp?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 6842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -52) + (-72 - (72 - 134))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 8:32 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 34.406\nAnswer: 10.3218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 819512 is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*j + 6638 = 0, 124*g - 121*g + 4*j = 9950. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - 2\/(2\/2). Let y = t + 8. Factor 0*d + 2\/11*d**y + 0 + 0*d**2.\nAnswer: 2*d**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 8:57 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 25*l**2 + 573*l - 30. Let s be j(-23). Solve -s = -3*p - z, -4*z - 56 = p - 87 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-3)*j**(-1\/3))**(-18\/5)*((j\/(j*j\/j**0*j*j))\/(j*j\/j**(3\/5)))**41 assuming j is positive.\nAnswer: j**(-172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-2)*-1*9. Let p be 2\/(-3) - 114\/f. Solve 3*s + s = p for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -62?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1 (b) 9 (c) -281\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*g - 9 = 0, 3*k - 2*k + g - 2 = 0. Let v = k + 3. Let t = 0 + -0.2. Sort t, 0.1, v in descending order.\nAnswer: 0.1, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/4)*h*h*h**8)**45*((((h**(3\/2)*h*h)\/h)\/h)\/h**7)\/(h**(2\/5)*h*h**(-7)*h) assuming h is positive.\nAnswer: h**(10107\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 131 + 37130\/(-282) + ((-2)\/144)\/(4\/(-138)).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (390 - -1)\/(-5*5\/(-25)). Let x = -320 + c. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48.8 - -49. Which is the closest to -0.02? (a) -6 (b) d (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**(1\/3))*y*y**5)\/((y\/(y\/(y\/(y**(-8)*y*y)*y)))\/y**(-4))*(y**0*y*y**(-2\/7)*y)\/((y*y\/y**(-5)*y)\/y*y*y**(-5\/4)\/y) assuming y is positive.\nAnswer: y**(-815\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*r - 164 = -22*r. Let m = r + 72. List the prime factors of m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30491830 is divided by 896818?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a minute in seconds?\nAnswer: 735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 253 + 800. Let o = a - 707. Let z = 346.0000347 - o. Round z to 6 decimal places.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1600) + sqrt(1600)*-4 + 6*(sqrt(75)\/sqrt(3) - sqrt(25)))\/(-2*sqrt(500)*2 + sqrt(500) + sqrt(500) + (sqrt(500) - 2*sqrt(500))*6 + sqrt(500)).\nAnswer: 12*sqrt(5)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/9*318*-5. Let v(a) = -67*a**2 - 4*a. Let q be v(-3). Let n = q + m. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*s**2 + 7*s**4 - 5*s**2 + (0*s**2 + 0*s**2 - s**2)*(2*s + 2*s - 2*s)*(0*s - 2*s + s) as u*s**3 + l*s + i*s**2 + o + q*s**4 and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*v**2*y + v**2 + 315052*v*y - 9663287*y - 2 wrt v?\nAnswer: -10*v*y + 2*v + 315052*y","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 2918757593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b + b**5 + 2*b - 47*b + 11*b**5 + 47*b + (-4*b + 0*b + 6*b)*(2*b + b**4 - 2*b) - 2*b**5 + 5*b**5 - 2*b**5.\nAnswer: 15*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18408886 divided by -1?\nAnswer: -18408886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 - 163 = 62*s - 21*s + 75*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*r - 3*p, 0*r - p = -2*r + 1. What is the tens digit of (2 - -147) + r\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 294545128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33958 is divided by 3770.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -100101?\nAnswer: -100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (-2 + 3) - 5*-5. Let m be ((-32)\/(-336))\/((-4)\/(-978)) - -3. Which is greater: m or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4 = 4*i, -7*i = -3*i + 20. Let o = -0.044 + -0.456. Sort l, o, -8\/3 in increasing order.\nAnswer: l, -8\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71648551 to the nearest integer?\nAnswer: 8465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23166, -87915, -195828, -346905, -541146, -778551?\nAnswer: -1059120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(91) - sqrt(91)*2) - (sqrt(91) - ((sqrt(91) + 1*sqrt(91))*-2 + sqrt(91) - sqrt(91))))\/(sqrt(35)\/(1*(sqrt(80) - sqrt(5)))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**3 - 302967*r**2 + 1514952*r + 4241748 = 0. Calculate r.\nAnswer: -100994, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1582 - 1471. Let x be (4 + 5)*(-2 + (-7)\/(-3)). What is the greatest common factor of k and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1370616 and 18664.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/2, 5, 17, -0.3.\nAnswer: -1\/2, -0.3, 3, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154\/10 + 6\/(-15)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 7*d**2 + 95*d - 28. Let i be f(-14). Calculate the highest common divisor of i and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 30.93998kg?\nAnswer: 30939980000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13107 divided by 4369\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 767.8009 millilitres?\nAnswer: 0.7678009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-9)\/p)\/p*p**6*p**7*p**(-6)\/p assuming p is positive.\nAnswer: p**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46231 or 9086?\nAnswer: 9086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/4 + 5491*j**2\/4 - 9586*j - 60324.\nAnswer: -(j - 5484)*(j - 11)*(j + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**8\/10080 + l**7\/1680 - l**6\/1080 - 43*l**3\/6 + 2*l**2 + 14*l. Let q(o) be the first derivative of x(o). Factor q(d).\nAnswer: -d**2*(d - 2)*(d - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-34))\/(2\/(8\/3))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -168*i + 163*i. Put 9, i, -4, -9 in decreasing order.\nAnswer: 9, -4, i, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a**4\/11 + 998*a**3\/11 - 55156*a**2\/11 + 38592*a\/11 + 15552\/11 = 0.\nAnswer: -108, -2\/7, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -962 divided by 481.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -7. Let s(f) = 7*f**3 + 16*f**2 - 14*f - 6. Let i(n) = -4*n**3 - 8*n**2 + 7*n + 3. Let u(x) = -5*i(x) - 3*s(x). Is u(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m**2 + 12*m**2 + 3*m**2 to the form g*m**2 + v*m + t and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58 by 45.\nAnswer: -58\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -4. Let u be b\/((-4)\/3 + 1). Suppose 4*j - 4*a = -10 - 6, 22 = 2*j + 3*a. Solve o - u = -2*y + j*o, -2*o - 7 = -5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*c = -2387 + 8. Calculate the remainder when 422 is divided by c.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + sqrt(637))**2 - (6*1*sqrt(468))**2.\nAnswer: -16211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3402 is divided by 39?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -175 + 173. Put -21, z, -2\/7 in descending order.\nAnswer: -2\/7, z, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 198792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98893?\nAnswer: 98893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -31. Suppose -4*t - u = -0*t - 45, u - o = -t. Let p = -46 + 64. What is the remainder when p is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*y - 1. Solve 2*a + 15 = -y*x - 0*a, 0 = -2*x + a - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 185 and 280.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2.7, 68, -5?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1199?\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-102)\/(-663) - (-219)\/13. Suppose a - n = -8. Solve 7*b - 4 = a*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/4 - 433*j\/2 + 43089\/4.\nAnswer: (j - 813)*(j - 53)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*k + 8 = 3*y, 0 = 3*k - 6. Solve -8*f**4 - y*f**5 + 24 + 13*f**3 - 52*f + 37*f**3 + 16*f**2 - 26*f**3 = 0 for f.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 + -44. What is the remainder when 30 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**2\/((g\/(g**1\/g))\/g)*(g*(g*g*g**(2\/3))\/g*g)\/(((g\/g**1)\/g)\/g*g)*(((g**(-3\/4)\/g)\/g)\/g*g**(1\/6))**(-1) assuming g is positive.\nAnswer: g**(41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*a + 73114, 247*a - 246*a + 6 = 0. What are the prime factors of x?\nAnswer: 36563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -158*s + 19899. What is v(126)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1409003844 to the power of 1\/2, to the nearest integer?\nAnswer: 37537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 613391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 21. Which is the nearest to 0.2? (a) -0.4 (b) 0 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.579145 centuries in decades?\nAnswer: 5.79145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**2\/7 + 5676*l\/7 + 141056 = 0 for l.\nAnswer: -1216, -203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-572)\/116 - 10\/(-2) - (-384)\/7888\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3788*b - 1113379 = -730791 for b.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -128\/9 at most -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 - 2 + 5)*(0 + 0 + 1) - 5 + 4 - 1 + 1 + 0 + 0)*(3407 - 1703 - 1692)*(7 - 3 - 2 + 2*r) to the form x*r + h and give x.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 142474 (base 8) in base 2?\nAnswer: 1100010100111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -5 - 2 - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llol. Give prob of sequence loll.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 2*x + 15. Suppose -2*m - i + 17 = 2*m, 0 = -4*i - 12. Let u be z(m). What is the tens digit of u\/((-7)\/(-2) + 2 + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 206 + 11004. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -1, 10, -5\/2, 34195?\nAnswer: 34195","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 2*p**2 - p - 18. Let z = 3938 - 3938. Determine s(z).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -96 (b) -1866 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 3, 8, 0.1, 13, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p**2 - 3*p + 12. Let v(r) = r**2 - r. Let o(z) = u(z) + 5*v(z). Let q be 20 + 2 + 2848\/(-178). Give o(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6611 + -3?\nAnswer: 6607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4923fb (base 16) to base 14\nAnswer: 8cabb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 0*i = -i - 11, -2*g + 8 = -4*i for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9350.3 + 47644\nAnswer: 56994.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**3\/p)**(-45) assuming p is positive.\nAnswer: p**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -71557 - -1?\nAnswer: -71556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (((-844)\/(-48) + -17)\/(3\/9))\/((-17)\/(-68))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11112 (base 3) to base 9\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -148 - -737\/5. Let i = 263\/2 - 131. Which is the nearest to -0.1? (a) -2 (b) i (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 285 and 441085.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 a when two letters picked without replacement from {a: 1, b: 4, c: 4, k: 10}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 13) to base 10\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2503 (base 10) to base 7\nAnswer: -10204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -1 + 11. Suppose v*j - 77 = 53. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7715125 and 775.\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -488545, -977095, -1465657, -1954237, -2442841, -2931475?\n\"Answer: -h**3 - 488543*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 10:29 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160832 and 320.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 2*y**5\/45 + 1231*y**4\/9 + 3030722*y**3\/27 + 215. Factor h(k).\nAnswer: 2*k**2*(k + 1231)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1560, -3121, -4684, -6249?\n\"Answer: -m**2 - 1558*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.27 + 0.57. Let q = -1 - -1. Let p = 0.2 + q. Which is the second biggest value? (a) -0.1 (b) p (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1\/3)*i**(4\/11))\/((((i\/i**(-9)*i)\/i)\/i*i)\/(i\/(i\/i**(-6\/13)))) assuming i is positive.\nAnswer: i**(-4046\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - 50. Let l = k + 50. Let w(c) = -7*c**2 - 12*c + 8. Let f(s) = -6*s**2 - 11*s + 8. Let y(a) = 6*f(a) - 5*w(a). What is y(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 3*u - 31, -5*g + 15 = -0*g - u. Let y = -7 - -12. Suppose -y*q + g*k = -136, 3*k = -0*q + 4*q - 108. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61\/103805 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 2132 = -778. Let w = -327 + r. What is the least common multiple of 16 and w?\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/3)\/((-106)\/371).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5499 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 58*n + 117. Let c(v) = 175*v + 351. Let f(y) = -3*c(y) + 8*h(y). List the prime factors of f(-5).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383 less than or equal to 3061\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*m - 32706 = -589*m for m.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*c = -7*c - 270, -2*c + 39 = b. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -1\/2 (b) 0.9 (c) -0.4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(147)\/sqrt(3))\/sqrt(7) - (1*sqrt(7) + 5 + (sqrt(252)*-3 - sqrt(252)))) + 2)**2.\nAnswer: -120*sqrt(7) + 2809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*w + 78 = 0. Calculate the remainder when w is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2847 and 372.\nAnswer: 353028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6 - 1.6. Let j = 0.1 - -0.4. Let l = j + z. Round l to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(76)\/sqrt(4) + -1 + 0 - (sqrt(2736)*-1*3)**2.\nAnswer: -24625 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = m + 17, -m - 12 = -5*m. Suppose 209 = 5*h - 7*c + 5*c, -4*h + n*c + 160 = 0. Calculate the remainder when h is divided by 34.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5368388 is divided by 1789336.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -46, 0, 7 in ascending order.\nAnswer: -46, -2, 0, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 341704151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49996710.\nAnswer: 2, 3, 5, 23, 83, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 2:00 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17395\/(-2982)*(-4)\/10)\/(-1*(-1)\/51).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3203 (b) -2\/17 (c) 0.267 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is c83 (base 13) in base 12?\nAnswer: 129b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3579, -3578, -3577, -3576?\nAnswer: -3575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**(-13))*l*l**16)\/((l*l**18*l)\/l**(1\/2)))**34 assuming l is positive.\nAnswer: l**(-527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2240002 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/24*19*3. Suppose 0 = 2*b - 5*n - 1, 0 = -4*b - 3*n - 4 + x. Solve 23 = 4*f + b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-5 - -12)) + 2 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1735770282.\nAnswer: 2, 3, 109, 2654083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 8*t**2 + 7*t. Let r be a(-7). Let d(u) = -3*u**2 - 4*u**2 + 6*u**2 + 2. Let m be d(r). Solve 15 = -y - m*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 185 by 185.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 5*r - 32. Let p = r + 20. Suppose 2*l = p - 2. 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 value of (15 - 7) + 104\/(-12)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 1148\nAnswer: -1\/574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3780\/50 - (-4)\/10. Let g = -53 + v. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/72 + 4\/18. Let y be 3*5 + (-1 - l). Let s(r) = -12*r - 1. Let w be s(-3). What is the highest common divisor of y and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -499, -483, -467?\nAnswer: -451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbx when three letters picked without replacement from ppbppbxbxccbb.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/8 and (56\/64)\/((1326\/12)\/1).\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(91\/(-14)))\/(1\/(-2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 108*g - 959. Calculate m(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 = 3*m + 5, 4*i + 4*m = 4. Suppose 3*w - w = 2*y - 10, 5*w + 16 = 2*y. Let 4*f + i*f**4 + 18*f**2 + 1 + 4*f**4 - 1 + 24*f**y = 0. Calculate f.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21 - 21 - 33)*(-t**3 + 0*t**2 + 0*t**2) as d + p*t**3 + q*t + k*t**2 and give p.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -218221 + 218236. Suppose 0*d = -u - 2*d - 12, d = u + 15. Let j be 3*(-4)\/6 - u. What is the highest common factor of j and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewnh when four letters picked without replacement from {h: 2, n: 1, w: 4, e: 6}.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssmcccnccsssnscc. What is prob of picking 1 m and 1 n?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 80*z**2 + 0 + 109\/24*z**4 - 113\/6*z**3 + 0*z. What is the first derivative of d(r) wrt r?\nAnswer: 109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2. Suppose 0 = 3*s + 1 - 4. Let l(b) be the third derivative of -b**5\/30 + b**4\/12 - b**3\/2 + 3*b**2. Let v(n) = s*l(n) + 3*h(n). Factor v(g).\nAnswer: (g - 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.47259 decades in centuries?\nAnswer: 1.547259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 876.6646 years in decades?\nAnswer: 87.66646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9024 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 0. Suppose 3*r - b = 11. What is the remainder when r is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -83012200?\nAnswer: -830121a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y - y + y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -119*v + 479. Determine n(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r**2 - 4364*r - 60846. Calculate v(-14).\nAnswer: -534","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -714132 to the nearest ten thousand.\nAnswer: -710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29 or -85\/3?\nAnswer: -85\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 27. Let k be c(-22). Let v = 0.2 - 0.3. What is the biggest value in k, v, -2\/17?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -5 (c) 542\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -5, -0.3, -3 in descending order.\nAnswer: 2\/17, -0.3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9 + 3)*-1*(-67)\/(-201). Let c = 3 + -2.94. Let u = 3.07 - 0.07. Sort x, c, u in descending order.\nAnswer: u, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 4) to base 11\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zjlkkzkkjkljkkkkkz. Give prob of picking 1 k and 2 j.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 - (-34 - (-4 - 36)) - -5?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1763329899 to three dps.\nAnswer: -0.176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14832 and 4?\nAnswer: 14832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10*((-2)\/18)\/((-288)\/5184)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3004, -6073, -9218, -12439?\nAnswer: -15736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (((150\/(-24))\/25)\/((-43)\/516))\/(1002\/4)\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwwwdwwowwdwwwwwxxx. Give prob of picking 2 w and 1 d.\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mhvm when four letters picked without replacement from {y: 3, v: 2, f: 8, m: 2, h: 1, j: 1}?\nAnswer: 1\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -33*o + 1148. What is t(35)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -467 or -0.1?\nAnswer: -467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 164?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**3 + 2*g - 2*g)*(-4*g**2 + 3*g**2 + 3*g**2).\nAnswer: -8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.94556516 + 6048.\nAnswer: 6048.94556516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 - ((-12)\/2)\/(-3). Let g = 53 - d. Suppose 2*y - 21 = -w, -4*y + 5*w + 15 = -g. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111133839 to the power of 1\/3, to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -16*i - 4. Let c be d(-3). Suppose x = -c + 39. Let j be 6\/5*2*x\/10. Which is smaller: j or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2663.419kg?\nAnswer: 2663419000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1199.\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12064 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 + (-3 - -20334) + (-10)\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29533109*o + 40909190 wrt o?\nAnswer: 29533109","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3154175?\nAnswer: 5, 71, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -32928871218125 - 16\nAnswer: -32928871218141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3411*b**3*z**6 + 3*b**3*z**4 - 39*b**3*z + 78*b**2*z**2 wrt z.\nAnswer: 409320*b**3*z**3 + 72*b**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1543695 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: Suppose 3*j = -5*u, 2*u = -3*u. Let z(v) be the second derivative of 3*v - 1\/2*v**2 + 1\/12*v**4 + 0 + j*v**3. Factor z(a).\nAnswer: (a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 187380 divided by 15.\nAnswer: 12492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9903281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1411 + 2422. What is the remainder when n is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3200668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 372*l + 3427. Determine o(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1900213952 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 4*j, 0*j = -i - 3*j. Let w be 3\/4*(69 - 1). Let v be 2*(0 + 3)\/w. What is the third smallest value in v, i, -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -0*o - 3*o + 15, v + 5 = o. Which is the nearest to 90? (a) 0.5 (b) -0.4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 680245 and 370.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 989091931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 16) in base 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5468.\nAnswer: 2, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 6:57 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 537280737 and 8477.\nAnswer: 8477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q + 350201 = 349985 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 1:11 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 2)*(d + 0 + 0)*(2*d**2 + 3*d**2 - 3*d**2).\nAnswer: -10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1580 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -i - u + 14, -5*i - u + 127 = 0. Suppose i = -m + 66. Let c = -21 + m. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -345, -525, -819, -1221, -1725, -2325?\nAnswer: -3015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y\/(y\/((y\/(y**(2\/3)\/y))\/y)*y)*y)**(-45))**(-31) assuming y is positive.\nAnswer: y**3255","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8*(-2 - -1) + 9*1298\/(-1485)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -4*s + 384. Suppose -s - 8 = -3*r. Let k = 282 + -162. What is the greatest common factor of k and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5 + 14, 3*l + 2*y - 3840 = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177 = 7*k - 3*g, 5*k - 4295 + 4184 = -3*g for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {q: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 1:34 AM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 21*i**2 - i + 1. Suppose -g = -2*l + 2*g + 8, 0 = -4*l - 5*g - 6. Calculate the remainder when j(l) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 129563831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3, -10, -3, 110, -5 in decreasing order.\nAnswer: 110, 3, -3, -5, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xyy when three letters picked without replacement from {a: 1, l: 2, y: 4, x: 4}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(9\/5))**(-8)\/(f**(-7\/2)\/(f**(-28)*f)) assuming f is positive.\nAnswer: f**(-379\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -321*l**2 + 48*l - 24. Let r(d) = 64*d**2 - 10*d + 5. Determine -5*k(o) - 24*r(o).\nAnswer: 69*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33*31\/(17732\/1560).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21160209?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 273 - 142. Suppose 0 = -5*q + 29 + z. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fttfff. What is prob of picking 2 t and 2 f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*b + 7. Suppose b*u + 2*u = -20. Sort 2, 3, u.\nAnswer: u, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 270 = -10*f + 20*f, -4*s + 6*f - 58 = 3*f for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4286 + -4278. What is the smallest common multiple of 63 and u?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 21*x + 3. Let z be c(11). Let g = z - 161. What is the remainder when g is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 3*v**2 - 2*v + 26. Let c be r(3). What is the hundreds digit of (1\/3 + 0)\/(c\/37260)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b0 (base 12) to base 5.\nAnswer: 2101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p - 5. Let c be w(-5). Suppose 5 = x - 4*f, 2*x + f = -0*f + 1. Let a = 7 - x. Solve -c = -2*z + a*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 122 (c) 0.2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a millennium in years?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 0 - (7 - 8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 93980543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 + 6*q**3 + 7*q**2 + q**3 + 55*q**2.\nAnswer: 5*q**3 + 62*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -28 - (2 + 17 + -17 - 5 - 10)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/100287 and 83\/100287?\nAnswer: 100287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 903 - 30*y - 48*y - 33*y + 141*y - 29*y to l*y + d and give d.\nAnswer: 903","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1662274 or -1662276?\nAnswer: -1662274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*sqrt(88)*6 + sqrt(88) - (1*(sqrt(88) + sqrt(88)*-2) - sqrt(88)))\/(1*1*sqrt(512)*6).\nAnswer: -3*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298377 is divided by 85?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**6*o*o**1*o**(1\/9)\/o*o**5)**(-2\/11) assuming o is positive.\nAnswer: o**(-236\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**5\/10 - 42047*y**4\/5 - 1892952*y**3\/5 - 2953179*y**2 - 84053889*y\/10 - 40891554\/5 = 0.\nAnswer: -36, -3, 84139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 202, -1\/3, -42?\nAnswer: 202","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4b + -2cb?\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*m**2 - 24*m**2 - 13*m**2 + 58.\nAnswer: -4*m**2 + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -914.295 + -0.705. Let x = -912 - w. Which is greater: x or 21\/2?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d - 5. Let g(z) = -1. Suppose 6*r + 2*k + 1 = 5*r, 7 = -2*r + k. Let b be (-1 - -3) + r + -3. Calculate b*g(m) + j(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.23 in -4, -1, 0, 3\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -i + 4241237 - 4241230, -5*m - 3*i - 34 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.712057 months in centuries?\nAnswer: 0.0047600475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 0 - 1\/2*j**3 - 1\/120*j**6 + 0*j + 7\/24*j**4 + j**2 + 1\/10*j**5. Is z(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 2 - 2)*(23*v + 9 + 1 - 8)*(-38 + 38 - 5*v)*(-4*v + 6 - 6).\nAnswer: -920*v**5 - 80*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-115)\/(-69)*8\/20?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*v = -5*q + 664, 2*q - 416 = -2*v. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 1714 = 10534. Let o be m\/(-20)*36\/(-16). Let p = -1753\/5 + o. Calculate the common denominator of 9\/2 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (452000\/12)\/((-12)\/(-32)*(-20)\/1125). Round r to the nearest 100000.\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -25733, -102909, -231529, -411587, -643077?\n\"Answer: l**3 - 25728*l**2 + l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62370, 248224, 557982, 991644, 1549210?\nAnswer: 2230680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 4*g**5\/35 - 2*g**4\/7 - 4*g**3\/7 + 16*g**2\/7 - 16*g\/7 - 208. Factor v(r).\nAnswer: 4*(r - 2)*(r - 1)**2*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + 8 = 12*u. Solve 0 = -3*l - 2*d - 11, -u = d - 4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 217*o**2 + 88218*o + 47102. Give i(-406).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (408\/612)\/((-13)\/(-429))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 84.158423 and 0.4131.\nAnswer: 84.571523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 81 and -0.5.\nAnswer: -40.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 9:51 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 6*p**2 - 35*p + 30. Let l(o) = -5*o**2 - 35*o + 30. Let j(a) = -6*l(a) + 5*s(a). Factor j(v).\nAnswer: -5*(v - 2)*(v - 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 1485 = -423. What are the prime factors of l?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p = -26*a + 836, 1094*a + 224 = -3*p + 1093*a for p.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 184894271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59788303 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 m when four letters picked without replacement from {m: 8, g: 4, h: 4}?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-3) - (-60)\/(-18). Let q = 20 + l. What is the tens digit of (q\/(-5))\/(6\/(-105))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t\/((t\/(t\/t**(-6))*t)\/t))*t\/(t**(2\/17)*t))\/((t*t**(-1\/2))\/t**(2\/5)))**49)**(-13) assuming t is positive.\nAnswer: t**(781599\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l**3 - 2*l**2 + 1. Let k be g(1). Suppose -u = -k*u. Let f be (-3*(-2)\/(-4))\/9. Which is bigger: f or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, b: 1, n: 3, c: 8, o: 1, q: 3}. Give prob of picking 1 c and 1 b.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -105622 * 0.31.\nAnswer: -32742.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -39313, -78686, -117989, -157186, -196241, -235118, -273781?\n\"Answer: 6*p**3 - p**2 - 39412*p + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -694 divided by 26.\nAnswer: -347\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1487207 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 5*l**2 - l + 9. Let g be u(5). Solve 0 = 2*t + 2*t - d - 20, -2*t + g*d = -10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (85\/(-25) + -1).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4380, 11307, 18234, 25161, 32088?\nAnswer: 39015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -26*m + 2. Let j(q) = q + 1. Let l(x) = -x**2 + 4*x + 13. Let n be l(6). Let d(b) = n*u(b) + 6*j(b). Differentiate d(f) wrt f.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 7 + 13*f**2 - 7. Let p(q) = 8*q. Let x(y) = y. Let d(j) = p(j) - 10*x(j). Give g(d(i)).\nAnswer: 52*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19382 + -11571. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*i = -2, -5*i + 1 = -2*j - 4*i. Sort 7, 0, j, 2 in descending order.\nAnswer: 7, 2, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12158\/188759 or 1?\nAnswer: -12158\/188759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (780*f + 1311*f + 2 - 518*f + 1294*f + 1)*(f**2 + 0*f + 0*f) to the form a + g*f**2 + j*f**3 + l*f and give j.\nAnswer: 2867","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5657, 11399, 17235, 23171, 29213, 35367?\nAnswer: 41639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5 - 10 = 0. What is the nearest to z in -0.1, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52858 - 2748723\/52. Calculate the common denominator of -127\/18 and m.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 j when two letters picked without replacement from jkjlydkkklkkkdk?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k - 1. Suppose -3*a - 5*u - 20 = 0, 4*a + u + u + 8 = 0. Suppose 3*s - 3 + 21 = a. Determine l(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 1528*a**2 - 74*a + 697. Is s(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3*1*sqrt(5) + 5 + sqrt(30)\/sqrt(6) + -5.\nAnswer: -5 - 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -56, -107, -158?\n\"Answer: -51*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 3 (c) -0.3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 387764828 a multiple of 3797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/2)\/(-18))\/(2\/(-4))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9174 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02077041 to five decimal places.\nAnswer: 0.02077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6925 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixieeieiexe. Give prob of picking 1 x and 1 e.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -5, 4, 0, 5, 8924.\nAnswer: -5, 0, 4, 5, 32, 8924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38776 - -72222. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5263*k - 66. List the prime factors of a(-1).\nAnswer: 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 764727227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -179 = -0.933417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18972?\nAnswer: 2, 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -497 + 909. Let w = l + -174. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-10))\/(1\/5). What is the remainder when 37 is divided by 5*c\/((-9)\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.48 or -141\/160?\nAnswer: -141\/160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 + 344*a + 15465. Determine c(-86).\nAnswer: 673","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -m**4\/12 + 48*m**2. Let u(t) be the first derivative of 11*t**2\/2 + 3*t + 127. Determine u(v(b)).\nAnswer: -22*b + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67 + -31. Suppose -d = -3*t + 144. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.5, 3\/7, -2.4 in increasing order.\nAnswer: -3, -2.4, -0.5, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 w when three letters picked without replacement from {d: 1, y: 1, k: 1, w: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -16, -1254, -2, 3 in descending order.\nAnswer: 4, 3, 2, -2, -16, -1254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 103403 - 2?\nAnswer: 103401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 8*p**3 - 48*p**2 + 11*p + 8. Let g(r) = -3*r**3 + 16*r**2 - 4*r - 3. Calculate -4*c(l) - 11*g(l).\nAnswer: l**3 + 16*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/76, -0.5, -2\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 58*v + v**2 - 3*v - 4*v - 23*v. Give z(-28).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 643 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b - 16*b - 12 = 0. Calculate the least common multiple of b and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (0 - -8) - 4) + 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -36*i - 724. Let x(q) = -29*q - 723. Calculate -4*h(t) + 5*x(t).\nAnswer: -t - 719","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32346114 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/8 - 3696189*m\/2 - 44354277\/8.\nAnswer: (m - 14784759)*(m + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/6*0)\/(-3). Suppose d*m + 10 = 2*m. What is the remainder when 18 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 683470 and 2050.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 156 + -1717\/11. Let y = 0.01 - -3.99. Let g = -10503 - -10491. Which is the nearest to 1\/4? (a) g (b) j (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 11:23 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11895 is divided by 384?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 12*r**4 - 8*r**3 - 24*r**2 + 12. Let i(d) = -8*d**4 + 5*d**3 + 16*d**2 - 8. Let c(x) = 8*i(x) + 5*k(x). Factor c(w).\nAnswer: -4*(w - 1)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -368, -738, -1108, -1478?\n\"Answer: -370*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2763 = 5*m - 2818 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1192, -1191, -1198, -1219, -1260, -1327?\nAnswer: -1426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 740046869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) 48 (c) 3 (d) 1 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*p = p - 130, -5*o - 670 = p. Let q = 943\/7 + o. Which is the third biggest value? (a) -0.2 (b) q (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x**2 - x**3 + 2*x + 20 - 18 + x**2 + 1 to y + a*x**2 + u*x + z*x**3 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4420703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -1)\/(6 - 5). Let s(d) = 21*d**2 - d - 1. Let h be s(n). Calculate the highest common factor of h and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3\/2)\/v**12 assuming v is positive.\nAnswer: v**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**3 - 11904*b**2 - 11862*b + 238040 = 0. Calculate b.\nAnswer: -5951, -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5049*b*w + 17*b + 3*w - 1183 wrt w?\nAnswer: 5049*b + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18322.6 rounded to the nearest ten?\nAnswer: 18320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -2*w**3\/39 - 667*w**2\/13 - 2660*w\/13 - 7460. Suppose y(x) = 0. Calculate x.\nAnswer: -665, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -7*i**2 + 7*i + 9. Let q be v(3). Let z = 36 + q. Factor -2\/5*y**4 - 192\/5*y**2 - 512\/5*y - 512\/5 - 32\/5*y**z.\nAnswer: -2*(y + 4)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/(-6))\/((-8)\/(-36)). Let h(y) = -y**2 + 9*y - 3. Let s be h(r). Let q = 7 + -4. What is the highest common divisor of s and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132635 is divided by 43714?\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 + 0 + 339\/36 and 154616\/(-16544) + 18\/2.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 6*f + 17, 37*n + 42 = 43*n for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*l*l**8*l*l**(-10)*l)\/(l**(-9\/5)*l**9\/l*l))**(-6) assuming l is positive.\nAnswer: l**(96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 172530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8713974 divided by -4356987.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27114229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4668*q - 10619. Is a(60) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 996039.6ng to micrograms.\nAnswer: 996.0396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 7*t**2 + 6*t - 9. Calculate the remainder when 32 is divided by p(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*s**2 - 61\/7 - 62\/7*s.\nAnswer: -(s + 1)*(s + 61)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 76, 30, -38, -128, -240?\n\"Answer: -11*x**2 - 13*x + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 463514\/55 or 8429?\nAnswer: 8429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -3. Let n = 9.55 - 9. Let t = n + -0.45. What is the third biggest value in t, l, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -87*r - 222*r - 35*r + 43000 for r.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-5))\/(72\/72).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 10*x**3 - x**2. Let h = 2019\/473 - -8\/43. Find the common denominator of h and d(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 299*y**2 - y + 2. Let q be f(1). Suppose -4*k + q = -h + 2*h, -k + 56 = 5*h. What are the prime factors of k?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -953.\nAnswer: -190.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**3 - 5*i**2 + 262*i - 24. Let k(p) = 2*p**3 - 3*p**2 + 262*p - 16. What is 2*h(v) - 3*k(v)?\nAnswer: -2*v**3 - v**2 - 262*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 78161358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -336877364 - 5?\nAnswer: -336877370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4805 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -993.7 - -1022.7. Which is the nearest to 2\/3? (a) v (b) 0.5 (c) -1\/3 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 10) to base 12\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, s: 2, z: 1, p: 2, d: 1}. Give prob of sequence szd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 870 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1575230 is divided by 393806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 361\/1959?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7604?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 0.06, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/32075612 and -17\/2378?\nAnswer: 930192748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - p + 995 = 994, -3*o - 3*p = o + 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 59545040?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j + 3*j - j)*((1 - 2 + 2)*(-2 + 3 - 3) - 3 + 3 - 5)*((6 - 2 + 4)*(6 - 2 - 2) + 1 + 0 + 1) in the form c*j + v and give c.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -13a42?\nAnswer: 13a3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4 + (-9)\/(-6) + 5844\/8.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4330288*k**2 + 33690*k - 6738. Let c(j) = -4499*j**2 - 35*j + 7. What is -6738*c(h) - 7*o(h)?\nAnswer: 2246*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f + 4. Let w be s(0). Suppose -v + 5*q = -126, w*q - 338 = -2*v - 100. Suppose 6*a - 4*t = 3*a + v, -5*a - 5*t = -260. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -8*y - 1. Suppose 2*o = -3*o - 25. Let b(n) = -13*n**3 + 1. Calculate the remainder when a(o) is divided by b(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 - 30 = 4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17960*r**2*w**3 + 20*r**2 - 164*w**4 - 68990 with respect to w.\nAnswer: 53880*r**2*w**2 - 656*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10150750996218 take away -17?\nAnswer: -10150750996201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3284751064 to the power of 1\/4, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6007, 5996, 5987, 5980, 5975?\nAnswer: 5972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**2 - 3*t**2 + 562*t - 579*t - 2*t**2 as h + n*t**2 + g*t and give g.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1022)\/(-8))\/(2\/8). Let t = y - 6115\/12. Find the common denominator of t and -71\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 40, 40, 42, 46, 52, 60?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10, 64, 156, 286?\n\"Answer: 19*n**2 - 3*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/(-840))\/((8\/(-4))\/(-18)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6085814, -12171645, -18257478, -24343313, -30429150?\nAnswer: -36514989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-144)\/(-360)*5\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 816253 = -628062 + 758576. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pcpyspcipscsp. Give prob of sequence ippp.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-99)\/44*(-1 - (-16)\/18).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 504723 and 711477.\nAnswer: 6081","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-2))\/((-3)\/(4*3)). Let l = -4 + 17. What is the remainder when ((-37)\/q)\/(5\/10) is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(304) + -1 + sqrt(304) + 1))**2 + (sqrt(19) + -1 + sqrt(19) + 1 - 5*sqrt(931)).\nAnswer: -33*sqrt(19) + 43776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -2*a - 8 - 0, -20 = b + 5*a. Let m = -0.4 + -1.6. Let g = 189.2 + -185.2. What is the second smallest value in m, b, g, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-7))**(-29)*(c\/c**(-3\/19))\/(c\/c**(6\/5)*c) assuming c is positive.\nAnswer: c**(16564\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -n + 3*z - 54, 0 = 2*n + 4*z - 104. Let t = n - 9. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q**3 + 9*q + 6. Let j(d) = -13 - 14 + 26. Let v(w) = -12*j(w) - l(w). Factor v(g).\nAnswer: 3*(g - 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31461704 (base 8) to base 6\nAnswer: 355453444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537733 is divided by 39?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*a**3 + 44*a + 19*a + 31*a**3 - 63*a.\nAnswer: -83*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + v = -0*j - 210, 4*j + 168 = v. Let n = 211\/5 + j. Let l be -4*((-3)\/4 + 0). Which is the nearest to 2\/7? (a) -5 (b) n (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 248*d - 19 = -257*d, -5*d - 5 = -5*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1632.53 - -1619. Let y = z + 15. Let b = 0.09 - y. What is b rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-323 + 399*t + 323)*(-4*t + 4*t + 2*t**2 + (2*t**2 - 4 + 4)*(-3 + 1 + 4) - 2*t**2 - t**2 + t**2 + 5*t**2 + 0*t**2 - 3*t**2).\nAnswer: 2394*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nnwwwnwwwww.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 421498 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v**3 - 29*v**2 - 6*v + 4. Determine u(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 23*q - 27. What is d(25)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22.2 - 20. Let w = r - 0.2. Which is the closest to w? (a) 0 (b) -1\/3 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 4*f**2 + 3*f - 7. Determine n(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*p - 23*p - 27*p + 10*p to the form t*p + k and give t.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of j**3\/3 - j - 5. Give x(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.14 and -3.262?\nAnswer: 0.45668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*t**2 + 9*t**2 - 48*t**2 - 80*t**2 + 173*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 5 + 4. Let k be (h + -4)*6\/117. Let c = -28\/23417 - -23529\/93668. What is the nearest to 9 in c, k, 0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1030224412 (base 5) in base 11?\nAnswer: -126a657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1049760 to the nearest integer?\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2. Let a(i) = -5*i**2. What is 3*a(n) - 8*x(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 119270.2506 - 119280. Let b = v + -0.1066. Let m = b + 10. Round m to two decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -6*u - 2. Let y(f) = 2*f**2 - 7*f + 7. Let l be y(3). Let t(a) = a + l + 5*a - 3 + 2. What is -3*d(h) - 2*t(h)?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 6 = 5*c, 2*c = -49*r + 10*r + 279 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -8.9.\nAnswer: 2.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 3 = 12*g. Let p(t) = -t**3 - t + 3. Let i(w) = -2*w**3 - 2*w + 5. Calculate g*i(a) + 5*p(a).\nAnswer: a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1587852996?\nAnswer: 2, 3, 971, 136273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01058107 - -0.0098. Round j to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -11*q**2\/2 - 51*q + 8422. Determine k(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 11*u - 10. Suppose -5*j - v + 3 = -6, j - v = 3. Let q be ((-54)\/12)\/((-2 + 1)\/j). Calculate m(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -5*g + 336, 3*a - 3*g = 198 + 285. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*a - 3*g, 2*g + 16 = 4*a - 6. Suppose 0*b + a = 3*b. Suppose 29 = 5*y + 3*i, 2*i = y + y - 2. Calculate the remainder when y is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**3\/6 - u. Let a(p) be the second derivative of 0*p**2 - p + 0 + 1\/2*p**3. Give a(z(s)).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*b + 8 = -0*n, 0 = 5*n - 5*b - 5. Let c be (-3)\/(-6)*(n + -5). Solve c = -w + 3*w + 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-351)*168\/25. Let u = p + 2\/65. Let y be (-2)\/4*16\/18. Put -2\/5, u, y in descending order.\nAnswer: u, -2\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**5\/20 - 5*y**4\/12 + y**3\/6 - y**2\/2 + 3*y. Let l be s(5). Factor 5*b**l - 5*b**2 + 2*b + b**3 - 66 + 66 - 3*b**3.\nAnswer: b*(b - 1)*(b + 1)*(5*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-219 - 226 + 41*r + 442)*(2*r + 2*r**2 - 2*r).\nAnswer: 82*r**3 - 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133, -122, -117, -118, -125?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*((-288)\/15 - 0). What is the smallest common multiple of 210 and 1\/4 - 72\/h - -4?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 21. Let w(u) be the first derivative of 0*u**5 - 1\/3*u**6 + 0*u**3 - 1\/2*u**2 + 0*u + l*u**4 + 2. Find the second derivative of w(a) wrt a.\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1635 and 205?\nAnswer: 67035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 - 15437*d**2 + 92649*d - 138987.\nAnswer: -(d - 3)**2*(d + 15443)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -8205*t**2. Let n(j) = 2462*j**2. Give h(n(g)).\nAnswer: -49734148020*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -394733200 divided by 197366600?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.8, 3\/29, -2, 5, 1, -1\/5 in ascending order.\nAnswer: -6.8, -2, -1\/5, 3\/29, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -4, -8, -12?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 218*j**2*p*u - 8673*j**2*p - 2*j**2*u + 35237*j**2 - 1700*j*u + 3*p*u + 2*u wrt p.\nAnswer: 218*j**2*u - 8673*j**2 + 3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, m: 2}. What is prob of picking 2 x and 1 m?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 2*z - z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/15 - (-16)\/(-30). Let w = 57 + -282\/5. Let p be 9\/(-2)*3\/18. Which is the third biggest value? (a) k (b) p (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-12)\/10)\/((1287\/(-130))\/33)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 47979900 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104690, -207808, -309358, -409340, -507754?\nAnswer: -604600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/((-16)\/63606) + -14 + (-899)\/(-58) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14515 + 24658. Let w(c) = 34 - 5 + y*c - 11549*c. Is w(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47*b**2 + 176*b**5 - 472*b**5 - 4*b**4 - 177*b**2 + 2*b**4 - 254*b**5 wrt b?\nAnswer: -33000*b**2 - 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1421 and 1537?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.2 and 25?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8141 (base 13) to base 8\nAnswer: -42606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-8))\/(-5) + 33\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, 5 in increasing order.\nAnswer: -6, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12206 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((30\/100)\/(99\/44))\/(1316\/210)?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 15*y - 6. Let m(w) = 1. Let l(q) = 6*m(q) + r(q). What is l(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -15, 34, 1, -4, 9 in descending order.\nAnswer: 34, 9, 4, 1, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dnnddd. Give prob of picking 4 d.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.141 - -585.859. Let k = o - 585. What is the nearest to -1\/2 in 2, k, -4, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*4*sqrt(117) - (sqrt(117) - (sqrt(117) + (-5*sqrt(117) + sqrt(117))*-4 + sqrt(117))))\/(sqrt(18)\/(sqrt(22)\/(sqrt(77)\/sqrt(7)))*-5).\nAnswer: 7*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**4\/24 - 11*j**2. Let x be 6 + -1 - (-4 - -5). Let w(z) = -x*z + 3*z + z + z. What is w(q(u))?\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4546265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -6 + (1 - -5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-32)\/72)\/((-8)\/36). Solve 0 = -7*n + b*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*p**2 + 23*p**2 + 5*p - 3*p + p**3 to the form t*p**3 + v*p**2 + q + x*p and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30321 - -31?\nAnswer: 30352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (288\/((-23616)\/164)*2\/28)\/(26\/(-2))\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b**2 - b - 1. Let k(i) = -50*i**2 - 15*i - 15. Let t(o) = 15*c(o) - k(o). Let r(d) = d. Determine t(r(u)).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 956*m - 219878. Give z(230).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 7 = 23. Suppose 3*g = b + 67, -g = g - 3*b - 40. Suppose 4*j + 17 = 5*m, 2*j = -2*j - 3*m + g. What is the lowest common multiple of w and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -7. Suppose 3*o - 3 = -5*w + 1, 5 = 2*o + w. What is the third derivative of -4*v**o + 2*v**3 + 2*v**2 + 0*v**q wrt v?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -0.97, 1\/7, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -30 + (-11 - -28) + -14.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 1 = -2*y. Let x be y\/(7\/(-3) - -3). Suppose 5 = 5*a, d - 8 - x = -3*a. Calculate the smallest common multiple of d and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 396 in -1395, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 198319947 by 1.\nAnswer: 198319947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8064351*r**3 - 39765374*r**2 wrt r.\nAnswer: -48386106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**3 + 0*q**3 - 5*q**3 + (-q**2 + 5*q**2 - 3*q**2)*(9*q + 3*q - 6*q) + 9*q**2 - 9*q**2 + 5*q**3.\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4425 (base 12) to base 10.\nAnswer: -7517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0383 - 0.0663. Which is the nearest to v? (a) 2\/7 (b) -1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaoaoiixiioxaaiaoa. What is prob of picking 1 a and 1 o?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) -1 (b) 3\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/7424024 and -57\/6496021.\nAnswer: 51968168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -3\/2, 2\/3, 771.3 in decreasing order.\nAnswer: 771.3, 2\/3, -1\/7, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -708.87 * -60.\nAnswer: 42532.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292 = -0*i - 4*i. Let t = -3 + 6. Suppose -3*p - 95 = -5*l - 0*p, 0 = 4*l - t*p - 76. Calculate the remainder when i is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.66 - -0.04. Let g = 0.5 + 0.5. Let s = p - g. Which is greater: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*q**2 - 23*q**2 - 90*q**2 + 173*q**2 - 25*q**2 - 20*q**2.\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*t**2 - 435799*t**3 + 435802*t**3 - 12*t**2.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 832000 rounded to the nearest ten thousand?\nAnswer: 830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 51*y**2 - 58*y - 282. Let n be x(-52). Solve -n*v + 3*v = -54 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 divided by 176?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/(-10) + 0 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*15\/10*(-32)\/(-16)*-7.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/350 and -129\/40552600.\nAnswer: 283868200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 l when two letters picked without replacement from qcblloqc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9 - -18)\/(-3) - -9. Solve 10*z - 5*z = b for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11\/(11\/(-4)) - 1*-7. Solve -p - y = -5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07323 to 3 dps.\nAnswer: -0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5332, 20878, 46788, 83062?\n\"Answer: 5182*h**2 + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*o - 170 = 74*o. What is the remainder when 135 is divided by o?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 18 = 6*d. Let w(k) = -65*k**3 + 4*k**2 - 7*k - 8. Let h be w(d). Is (h\/16)\/(4\/16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -11. Suppose 12 = -z + f*z. Suppose -2 = 4*b - z. Let h(l) = 2*l - 4. Let a(o) = -1. What is b*h(w) - 4*a(w)?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b - -28?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 4 + 3)*(-1 - 1 + 4)*((-3 + 7 - 3)*(-2*i - 2*i + 3*i) - 48*i - 66*i - 8*i) in the form g*i + r and give g.\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 12279985 = -2*g, 0 = -g - 5*b + 2591832 - 8731857. Round g to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1667, 3686, 5705, 7724, 9743, 11762?\n\"Answer: 2019*m - 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 + 92*r**2 + 572*r + 484.\nAnswer: 4*(r + 1)*(r + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 4*r = 36. Suppose -3*v + 30 - r = 4*i, 0 = 3*i - 3*v. Let o be i\/((-3)\/(-16)) - 1. Solve -2*a - o = -7*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -69775, -3, 0.3, 4 in decreasing order.\nAnswer: 4, 0.3, -0.1, -3, -69775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 67 + t - 57 - 5. Let f(c) = -2*c - 11. What is 3*f(n) + 5*u(n)?\nAnswer: -n - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 444\/(-20) + 1\/5. Let h = -20 - f. Suppose 2*n = -4 - h. Is -4 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5}. Give prob of picking 3 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (-1 + sqrt(17) + -5)) + sqrt(1377) + (sqrt(1377) + sqrt(1377)*1 + sqrt(1377))**2 + sqrt(17) - ((sqrt(153) - sqrt(153)*3)*2)\/sqrt(9).\nAnswer: 14*sqrt(17) + 12399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 296 + -285. Let w(d) = d**2 - 80. Let g(l) = l - 6. What is the lowest common multiple of g(7) and w(q)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*g, 4*b - 4*g = 6*b - 10. Let m = b + 1. Suppose m + 2\/11*k + 2\/11*k**2 = 0. Calculate k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 - -71. Let t = 302\/67 - 1\/134. Calculate the common denominator of c and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 7 (b) -4 (c) -38.72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h. Suppose 2 - 4 = -n. Let x(g) = -1 + g + 1 - n*g. Calculate p(x(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -6*a + 27 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**3\/7 - 102215*o**2\/7 - 715544*o\/7 - 1022220\/7 = 0.\nAnswer: -5, -2, 102222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1840 + 6027*g**2 - 1840)*(g - 6*g + 4*g) + (-3*g + 3*g + 2*g**2)*(-g + g - 2*g) in the form h + o*g**2 + u*g + w*g**3 and give w.\nAnswer: -6031","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-75)*3 - (3 + (-172)\/(-10))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4 + 4*z**3 + 2*z**2 - 4*z.\nAnswer: -2*z*(z - 2)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -76, 0.3, -32189, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 132672.\nAnswer: 1\/132672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55602\/8251 + 250\/37. Which is the second smallest value? (a) m (b) 1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26044257493 rounded to the nearest one million?\nAnswer: -26044000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5*r + 19 = 0, -5*r - 19 = 5*n - 4. Let d be (n\/4)\/((-3)\/(-30)). Let q = d - 2. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -1029*r**4 + 361664100*r**3 - 42371532630000*r**2 + 1654709233803000000*r = 0.\nAnswer: 0, 820100\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3921*v**2 + v**3 + 3921*v**2 - 11770*v**2 + 3928*v**2 + v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -284057310 and -5?\nAnswer: 284057305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 107 = 2*m, 3*r + 3*m - 101 = -m. Which is bigger: -2\/5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -123106 - -212457. Suppose 2*a = -2*m - 128128, -2*a - 4*m - 38777 = i. Let j = 15936 - a. What is j rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 6:44 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37883?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 939947928.\nAnswer: 2, 3, 5231, 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2. Let j(h) = -42*h**3 + 63*h**2. Determine 63*d(f) + j(f).\nAnswer: -42*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o - 0*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - l + 1. What is the remainder when 8 is divided by n(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 49734748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 23780 divided by 116\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -7. Let p = -28.9 - -29. What is the second biggest value in -5, l, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -25.28438 and -0.28?\nAnswer: 25.00438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15933703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3*k + 3 = 0, 5*r - k + 5 = -0. Let t be 9\/4 + -2 - r\/(-4). Sort 3, t, 1\/2, 4\/5.\nAnswer: t, 1\/2, 4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 6. Is 6 a factor of 3\/((-9)\/6) + r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 6 + 3*r + 6 - 11 - 4*r. Calculate c(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0527 + 0.0527. Put 20\/3, 2, 5\/3, x in ascending order.\nAnswer: x, 5\/3, 2, 20\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14292394?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, z: 1, l: 1, x: 2, r: 10}. Give prob of picking 3 r.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 60*v + 16 + 67*v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**4 - 1767*f**3 - 459*f**2 + 3*f - 8.\nAnswer: 24*f - 10602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 - -39. Let i(o) be the second derivative of w + 1\/6*o**4 + 0*o**3 + 0*o**5 - 1\/6*o**6 + 0*o**2 - 4*o. What is the third derivative of i(z) wrt z?\nAnswer: -120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1860\/50)\/(-31))\/((-28)\/(-70)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, t: 7, y: 9}. Give prob of picking 2 s, 1 y, and 1 t.\nAnswer: 63\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 15*r**2 - 5*r - 13. Let x be a(-15). Suppose 58*m = x*m - 72. What is the third derivative of -18 + 3*g**2 + m + 6*g**3 - 2*g**3 wrt g?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 19 = 6*u - u, 3*t + 3*u = -9129 + 9150 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - r = 3*q - 4, r = -4*q + 6. Suppose -f + q*f - 5 = 0. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002624881 to four decimal places.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 11:03 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ere when three letters picked without replacement from {i: 3, r: 1, e: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 850 a factor of 2408255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-1280)*320)\/(34*(-3)\/(-12))?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/792 and -25\/28.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1242 = 89*x - 85 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1010012 + 11?\nAnswer: -1010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17502698?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 817 + -816.93472. Let u = -0.34958 + z. Round u to two dps.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 196 and 36.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + 29. Let b be t(8). Suppose 31 = 2*z + b. Is z less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4197.\nAnswer: 3, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d. Let b(j) = -3*j - 4. Let h(x) = b(x) + 2*y(x). Suppose 2*p = 7*p + 15. Let l be h(p). Is l less than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.944 - -38.656. Is b less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4591.2964 to the nearest ten.\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4047 + 5?\nAnswer: -4042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 7*y + 4. Let w(f) = f**3 + 2*f**2 - 2. Let k be w(y). What is the units digit of (-38)\/(-2) - k\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 124 + 623 = 0. Differentiate -169*t + l*t + 86*t - 313*t**2 - 139 with respect to t.\nAnswer: -626*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5767, 10735, 15717, 20719, 25747, 30807?\n\"Answer: d**3 + d**2 + 4958*d + 807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (540\/(-56)*(-408)\/1360)\/(1*6\/7).\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 - 1. Let r = 60 - y. Suppose o = -2*f + 20, 0*o = o + 3*f - r. Solve 0 = 3*w - w - o for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -168, -162, -144, -108, -48?\n\"Answer: f**3 - f - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 642.5 - 642. What is the second smallest value in 10, q, -1\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 140 = 8*o. Let a = o + -24. Suppose 56 = 6*v - a. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w, -i = 4*i + w. Solve 0*n + 4*n + 16 = i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c - 3. Let i be b(-5). Suppose 0 = j - m + 1 - 4, i*m = 0. Factor -2*n - 4 + 1 - n - j*n**2 - 3*n.\nAnswer: -3*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -200*m + 205*m. Let p = -2.63 + 0.03. Let r = -5.6 - p. Which is the second smallest value? (a) r (b) -2\/5 (c) -1 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, c: 2}. Give prob of sequence ac.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5972783+-7381100\nAnswer: -13353883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -201569*k**6 + 2*k**2 + 2110*k + 3.\nAnswer: -24188280*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 + 1 - ((-58 - -271) + -240)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/4 and -8\/1072333.\nAnswer: 4289332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1541474?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1\/u)**(-3)*(u*(((u*u\/(u\/(u*u*u\/u**(-1\/6)*u)*u))\/u)\/u)\/u)\/(u\/u**(-4)) assuming u is positive.\nAnswer: u**(-17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 10*t + 21. Calculate m(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -3. Suppose -61 = 5*z + 59. Let r be z\/(-231) + (-6)\/21. Which is the closest to 1? (a) v (b) -0.3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + -29 + (-1 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-17)\/15 + 36\/270. Which is the nearest to 6? (a) 2 (b) h (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.095 minus 76?\nAnswer: -76.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74 - -88 - ((-2 - -4) + (3 - -2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*i - 191 = -491 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.152 + 1.542. What is d rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 46*c**3 + 99*c**2 - 36*c + 2. What are the prime factors of i(6)?\nAnswer: 2, 7, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31310 - 15310. Does 16 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 10*b + 16. Let d be x(-5). Let g be (d\/(-6))\/(1\/2). Let s(r) = -15*r**3 - 2*r - 3*r + 26*r**g + 4*r. What is s(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -3\/10 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*b, 2*g - b + 8 = -0*g. Let i = g + 5. Factor -l - l**2 - i*l**4 - 5*l**5 + 3*l**2 + 4*l**5 + 2*l.\nAnswer: -l*(l - 1)*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15*5\/(-60)*-4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 1 (b) 0.3 (c) 1\/5 (d) 2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1297310 smaller than -1297323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/7 or -3635170?\nAnswer: -3635170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.8 and -339?\nAnswer: 1288.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 3)*(3 - 1 + 0)*(-4 - 3 + 5)*(-35 + 10*z + 10 + 54).\nAnswer: -40*z - 116","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2273666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -368.48 rounded to the nearest ten?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1104755344?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 174*i - 60 + 168*i - 512*i + 171*i - 18*i**3 + 2*i**3 - 2*i**2 in the form p*i**2 + d + r*i**3 + x*i and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 303 + -320. Let z(j) = -9*j**3 + 4*j**2 - 6*j + 1. Let r(u) = -26*u**3 + 11*u**2 - 17*u + 3. Give b*z(a) + 6*r(a).\nAnswer: -3*a**3 - 2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 - 49. Suppose 2*k + k - 1080 = -3*l, -4*l + q*k = -1464. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1877a7 (base 11) to base 7.\nAnswer: 2310664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 0*q + 0 + 0*q**4 + 0*q**3 - q**2 + 1\/30*q**5. Let f(o) = -2*o. What is d(f(a))?\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 - -5706*(13 - -28) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 plus 127054338.1748?\nAnswer: 127054339.0748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 + 64. Let b(j) = 9*j**2 + j + 2. Let v be b(3). Let n = v + y. What is the highest common divisor of 15 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 36*t**3 + 16*t**2 - t + 2. What is the units digit of s(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*w + 39*w + 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, s: 3, h: 2, q: 1, i: 3, c: 2}. Give prob of sequence hhi.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16176 is divided by 521.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3 = 9. Let f be j + -1 + (-2)\/2. What is the units digit of 1 - (f + -5 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -41*m - 278. Calculate d(0).\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5.8 at most as big as 0.27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.013463 (b) 1\/2 (c) 1 (d) 4 (e) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -12*b**3 - 10*b**2 + 18*b - 10. Let m(j) = j**2 - 2*j + 1. What is 20*m(v) + 2*w(v)?\nAnswer: -24*v**3 - 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59 - -94.5. Let y = g + -35. Which is the closest to 6? (a) -2\/3 (b) y (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -7*f - f**2 + 13 + 3*f**2 - f**2. Does 7 divide v(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**5\/2 + 47*b**4\/6 + 242*b**3\/3 - 104*b**2 - 1338*b. Determine a, given that f(a) = 0.\nAnswer: -4, 2\/5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36825?\nAnswer: 3, 5, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 15. Let l be j(-12). Suppose 5*o - 31 = -4*n, 5*o = l*n + 4 - 1. What is the derivative of -3*r**4 + 4*r**4 + 4*r**n - 8 wrt r?\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2255)\/(-110) - (10\/(-35) - 44\/(-56)). Solve 39*g = 19*g + o for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.93558km to millimeters.\nAnswer: 77935580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 320787*c**3 + 5 - 320785*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 9*t**3 + 2*t**2 - t + 1. Let z(u) = 25*u**3 + 4*u**2 - 96*u + 13976. Let h(k) = -2*d(k) + z(k). Differentiate h(x) with respect to x.\nAnswer: 21*x**2 - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 13*c**3\/3 + 17*c**2\/2 - 35*c. What is the tens digit of m(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354685 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 222 - 220.97. What is v rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 74\/(-10)*-5 + 5. Suppose 0 = 3*i + 6*g - 10*g - q, 4*i = g + 43. Solve 0*v + 2*v = -i for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1882551791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 29901739 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 8, p: 2, d: 5}. Give prob of picking 2 p.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 900\/100 + 1 + -13. What is the nearest to -1\/11 in h, -3\/4, 1.6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 4*k + 3*k)*(-k + 2*k - 4*k) + k + 2*k**2 - k.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13442\/133 - 2588053\/26201. Let q = n - 1\/197. Let 18\/7*a - 2\/7*a**2 - q = 0. What is a?\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/(891\/(-72)))\/(-4)*-51?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - w. Let y(p) = -9*p**2 + 12*p. Suppose 1 - 4 = -3*n. What is n*y(u) + 12*q(u)?\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 972572.7g?\nAnswer: 972.5727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*n + 110*n + 1606 = -95*n for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 12 = -2*f. Suppose 2*l - 5*l = 0. Let q = -2.9689 - 2.0311. What is the closest to l in -1\/6, f, q?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 3*k**3\/2 + 20607*k**2\/2 - 1730118*k = 0.\nAnswer: -7033, 0, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14756 - 9783. What is the thousands digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*v + 2 = -48*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2220 - 12?\nAnswer: -10002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*b**2 + 2673815*b + 891270.\nAnswer: 5*(b + 178254)*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 11 = -5*t, -4*g = -29*t + 24*t + 32 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 68*x**2 + 32*x**2 + 0 + 9629*x - 9627*x + 15*x**3.\nAnswer: 15*x**3 + 100*x**2 + 2*x - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 249 and 9.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1254 (base 6) in base 7?\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 318115*w**4 + 321226 wrt w?\nAnswer: 1272460*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 52?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2 + 93*x - 179*x + 84*x. Calculate l(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, a: 8}. What is prob of picking 1 a and 1 e?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**4 + 1408*w**3 + 83552*w**2 + 1191680*w = 0. What is w?\nAnswer: -28, 0, 760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 4:30 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -310984 by 5.\nAnswer: -310984\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 263 from 32958117.8.\nAnswer: 32957854.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390922203.\nAnswer: 3, 7, 379, 49117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 929, 929, 927, 923?\n\"Answer: -r**2 + 3*r + 927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2*a*a)**(-44) assuming a is positive.\nAnswer: a**(-176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10088 = 14*z - 8532. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3 (b) 0.05 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -71*(2\/5 - (-28)\/(-20)) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 + 1 + 5*y - 1 - 1 + 4*y. Let g be z(4). Let l = 1 - -4. Solve -u + 2*m = 2*u - l, g*u - 9 = 3*m for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -3*c**3 - 1452*c**2 + 9104880*c + 7836427200 = 0?\nAnswer: -1180, 1876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 9 = 1. Let j(y) = 2*y - 3*y + 0*y + k*y. Let i(p) = -5*p**2. Determine j(i(o)).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -2.9. Let q = -0.4 - -2.4. Suppose 5*t - d + 9 = 0, -2*t + 5*d - 11 = 11. Sort w, q, t in decreasing order.\nAnswer: q, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -286*m**3*w**3 - 432*m**3*w - 2*m**2*w + 449549*m*w**3 - 5*m*w**2 - 6878 wrt w?\nAnswer: -1716*m**3 + 2697294*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1716 divided by -9171?\nAnswer: -572\/3057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -917 + 1991. Let l = v - 3259\/3. What is the common denominator of l and 2\/(108\/50) - 1?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -492, -494, -496?\nAnswer: -498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 2653*q**3\/3 + 3159*q - 164. Find the first derivative of w(y) wrt y.\nAnswer: 5306*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -24\/70111 (b) 0.1 (c) -61\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 923.246nm to meters.\nAnswer: 0.000000923246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -21 and 22.88.\nAnswer: 1.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -49783, -111914, -174045, -236176, -298307, -360438?\n\"Answer: -62131*m + 12348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.06, 0.3, 3, -0.6723, 0.02?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*n**2 - 402*n + 402*n)*(-n**3 + 0*n**3 + 2*n**3).\nAnswer: 18*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.2 - 1. What is the nearest to o in 2, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g + 2*g + g)*(1 + 2 - 1)*(27*g**2 - 13*g**3 - 27*g**2) in the form f*g + d + k*g**2 + w*g**4 + x*g**3 and give w.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -5*r**3\/3 + 3*r. Let k(l) be the second derivative of 0*l**2 + 1\/6*l**4 + 0*l**3 + 0 - 3*l. Determine h(k(d)).\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**2*n*z**2 + 232*h**2*n*z + 2*h**2*z + 14*h*n*z**2 + 2*h*n*z + 11002*h*z**2 + h*z - 4*h + 2*n*z wrt z?\nAnswer: -4*h**2*n + 28*h*n + 22004*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a century?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 times 1.4217?\nAnswer: -18.4821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 72804 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eccncecdccenllclccc. Give prob of picking 2 l.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) 2\/3 (c) -1\/2 (d) -0.0633\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -54201624, -108403249, -162604874, -216806499, -271008124?\n\"Answer: -54201625*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 16*j - 8. Calculate h(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*c**5\/3 + 22615*c**4\/3 + 38605*c**3\/3 - 1029685*c**2\/3 - 863475*c + 237090 = 0. Calculate c.\nAnswer: -1129, -6, -3, 1\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/283944, -2\/5, -2\/41 in descending order.\nAnswer: -7\/283944, -2\/41, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4*u + 32 = -36, -5*u - 5 = 0. Let m be 23 - (-13)\/(65\/(-30)). Is l at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11568, 9, 3 in increasing order.\nAnswer: -11568, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67138475*z**2 - 3360*z + 856.\nAnswer: 134276950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 41\/6 in 3, 0.1, 11, 1, -13.8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 419.274*-0.36.\nAnswer: -150.93864","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 0*s + 3*s)*(4 - 2 - 4)*(-2 + 0 + 4)*(5 - 5 - 2 + 3 + 1 - 5 + (-2 + 5 - 2)*(-4 + 1 + 2)).\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3142 and 2033.\nAnswer: -6387686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 231, 285, 363, 453, 543?\nAnswer: 621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-25))\/((-15)\/25)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2320 - 4635 + 2315 - 11*t**2. Suppose 12 = p + 3*p. Let n(u) = p*u**2 - 72*u + 72*u. Determine c(n(l)).\nAnswer: -99*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*(m\/m**(-4\/5))\/m*m)\/(m*m*m**(-15)) assuming m is positive.\nAnswer: m**(84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1900 and 1132210.\nAnswer: 11322100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2258914?\nAnswer: 2, 7, 47, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2391087 is divided by 1225?\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 4 (c) 109982\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 48 - 94 = -4*z + 95, 2*z - 78 = 2*o for z.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -7*z**2 + 2. Let o(f) = -4*f - 11113. Calculate o(g(r)).\nAnswer: 28*r**2 - 11121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 2*u**2 - 2*u - 4. Let s be z(-2). Suppose 1034 = 3*y - 2*o - s*o, 5*y + o - 1745 = 0. What are the prime factors of y?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 5 (c) -27084 (d) 2.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 3:02 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5223303 a multiple of 203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 160264 and 74.\nAnswer: 5929768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -77*p + 72*p + 6 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-77)\/3) + 7383\/(-32637)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -348438, -348437, -348436, -348435, -348434?\nAnswer: -348433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 387 + -385. Suppose z + 1402 = -3*d + 4*d, -4*d - b*z + 5590 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + i + 9)*(2*i + 2*i - 2*i) + (0*i**2 - 4*i**2 + 0*i**2)*(-1 + 2 + 0).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-290)\/(-3) + 4\/(-6). Let z(v) = 42*v - 272. Let u be z(14). Suppose -u = -4*d + q. Calculate the remainder when d is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 2*t + 62 = 6*p, -12*p - 80 = -5*t - 106 - 132 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*b = 17*b - 6, -2*d - b = -4*d + 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37470 + 4*w + 37470 - 4*w - 2*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*i - 8322 = 3*a - 22*i - 8585, 0 = 4*a + 2*i - 140 for a.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 170 + 178 = 2*i, -b = 5*i - 6. Let d(m) = 2. Let z(q) = q**2 - 1. Let o(r) = d(r) + 3*z(r). What is o(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -55*u**4 + 147*u**2 + 6*u - 6. Let r(g) = -54*g**4 + 145*g**2 + 5*g - 5. Let k(h) = -5*i(h) + 6*r(h). Find the third derivative of k(x) wrt x.\nAnswer: -1176*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12922 and 19880.\nAnswer: 258440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 847, 831, 705, 463, 99?\n\"Answer: -r**3 - 49*r**2 + 138*r + 759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 110 = 3*c. What is the smallest common multiple of c and (-3)\/((-9)\/24*1)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8696, -8710, -8724?\n\"Answer: -14*n - 8682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*12\/(-32)*25*(-7420)\/(-5250)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f**3 + 2*f**2 - 2*f**2 + (2*f**2 - 2*f**2 + f**3)*(5 - 4 - 3))*(-4*f**2 + f**2 + 2*f**2) + (532 - 532 - 185*f**2)*(f**3 + 4*f**3 - 3*f**3).\nAnswer: -362*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3391388.7117544 - 0.03?\nAnswer: 3391388.6817544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 2:43 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*a + 740 = -37*a for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2900229960 a multiple of 814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0, -1, 12125 in descending order.\nAnswer: 12125, 8, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 3*x - x)*(5 - 2*x - 5).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-6*sqrt(15)\/sqrt(3)*2 + (sqrt(120)\/(sqrt(12)*-1))\/sqrt(2))*1.\nAnswer: -13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 - 22 + 4*s + 46)*(-2 - 2*s + s + 0).\nAnswer: -4*s**2 - 9*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48815032 by -6101879.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-86)\/(-5031) + (-1)\/(-26))\/((-4)\/16)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 895114 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**2 + 14*h + 2. Let s be z(6). Suppose 4*c + 3*m + 0*m = s, 0 = -c - 4*m - 3. Solve -d + 5 = c*g, 5 = d + 3*g + g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.9 + -823?\nAnswer: -817.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -420 = -176*s + 1868 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*c = 97*c + 2*g, -c + g = 10 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 27\/(-45) + 66\/10. Suppose -z = -3*u + 3. Factor -2\/9*q + 4\/9*q**2 - 2\/9*q**u + 0.\nAnswer: -2*q*(q - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -91*i - 90*i + 8*i - 25 + 28*i. Let j(h) = -12*h - 2. Calculate 50*j(c) - 4*r(c).\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 661965?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/6*1*(-24)\/(-9). Let g(f) = 30*f + 13. Is g(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/26 (b) 2\/15 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, b: 4, p: 1, r: 2}. Give prob of picking 2 b.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**5 - 4*l**3 + 4*l**3)*(0 - 1 + 2) + 1560*l**4 - 1560*l**4 - 48*l**5 + 0*l**3 + 2*l**5 + 0*l**3.\nAnswer: -45*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, 4, 2 in decreasing order.\nAnswer: 4, 2, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**5\/90 - m**4\/3 + 3*m**3 + 19*m. Factor o(x).\nAnswer: 2*x*(x - 9)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ykxkykykymxakymanmk. Give prob of picking 1 n, 2 m, and 1 a.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -114201 (base 5) in base 10?\nAnswer: -4301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z**2 - 143*z + 478. Determine n(32).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7182 and 169176.\nAnswer: 1522584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3432, 3425, 3420, 3423, 3440, 3477?\n\"Answer: q**3 - 5*q**2 + q + 3435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 271169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -334.3, 0, 12\/7, 0.2, 22?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10045 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 9:23 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84472641.\nAnswer: 3, 11, 77569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10920)\/168*(-2)\/10*1. Solve o*s - 15 = 11 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/((-112)\/(-21)) - 8\/(-5). What is the third biggest value in 3\/2, v, 12, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dpdx when four letters picked without replacement from dxdpdxxdxpppxd?\nAnswer: 50\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 354 + -356. Are s and -28\/29 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -k**3 - 13*k + 4. Differentiate p(v) with respect to v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - h - 1)*(0*h - 3*h**2 - 8*h**3 - 2*h + 7*h**3).\nAnswer: h**4 + 3*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 61838140*m**2 + 3*m - 428505533 wrt m?\nAnswer: 123676280*m + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*i**2*x**3 - i**2*x - 544*i**2 + 8*x**3 wrt x?\nAnswer: 27*i**2*x**2 - i**2 + 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-154)\/77*(-744)\/(-48).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -5*f**3 + 1550*f**2 - 9160*f + 12160 = 0.\nAnswer: 2, 4, 304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 571631.9 nanograms in grams?\nAnswer: 0.0005716319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 14*u. Let m(v) be the second derivative of -v**4\/6 + v. Calculate z(m(c)).\nAnswer: -28*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f**2 - f**2 + f + 2*f**2)*(-61*f + 144*f - 52*f) in the form z + s*f**2 + c*f**3 + y*f and give c.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-50))\/((-550)\/125 + 14). Let x(u) be the third derivative of 1\/300*u**5 + i*u**4 + 0 + 0*u + 0*u**3 + 2*u**2. Solve x(q) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 6627863*y + 6627860. Calculate u(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9074.956 + -9043. Let v = q + -32. What is v rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-216)\/(-45)*(-2 - -7). Solve 5*g = j + 1 + a, 3*j = 4*g - 31 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4400 - 44087\/10. Find the common denominator of 73\/136 and x.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -6*v + 5. Let a(w) = -3*w + 3. Let x = 41 - 44. Let n(q) = x*j(q) + 5*a(q). Let f(y) = 4*y**2. Calculate f(n(t)).\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*g**4*m - g**2*m - 119*m wrt g?\nAnswer: -16*g**3*m - 2*g*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 9*l = 40. Suppose -3*h + l = 2*h. Solve 0 = h*y + 3 - 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6343*m - 16*m**2 + 6343*m + 41*m**2.\nAnswer: 25*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327380.\nAnswer: 2, 5, 16369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (h**2 - 3*h**3 - 4*h**2 + 2*h**3)*(-7*h + 12*h - 7*h) as w*h**2 + s + n*h + m*h**4 + y*h**3 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*k = 129*k - 984000. Round k to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + a. Let c = -194 - -198. Let y(b) = -3*b**2 - 7*b - 5. Let d(t) = c*s(t) - y(t). What is d(6)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -13*j + 321. What is i(33)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**4\/24 - 2*n**3 + 10*n**2. Let b be d(4). What are the prime factors of 10\/6*(b - -11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -1) + 19 - ((-51 - -33) + 20)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/7 of a week in days?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/7)\/r**0)**(-14\/9) assuming r is positive.\nAnswer: r**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 3:28 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 855609581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -14544380?\nAnswer: 14544381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5501 + 5510. Solve -5*j + 47*w - r = 44*w, 4*j + 4*w = 12 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134775959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -273*t**2 - 429. Let g(c) = 2*c**2 + 3. Let u(s) = 286*g(s) + 2*q(s). Suppose -1 = -x + 1. Let z(v) = -v**x + 0*v**2 + 0*v**2. Determine z(u(k)).\nAnswer: -676*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6 and -103718.\nAnswer: -103724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 5*m**2 + 6*m + 2. List the prime factors of j(-8).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*x + 7754 - 7493 = 0 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7711220 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(sqrt(30)\/sqrt(6)))\/(sqrt(54)*1 + sqrt(6)).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h**2 - h**2 - 2*h**2 - 6*h**2 + 6*h**2 - 2*h**2 + (1 - 4 + 4)*(4*h**2 - h**2 - 2*h**2) - 3*h**2 + 13*h**2 + 4*h**2.\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 25 + (10 - (-3 + 19)). Solve -z = 5*v + 3*p, -4*v + 50*p = 51*p + 11 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)\/sqrt(48))**2 + (-6*1*sqrt(13))**2 - 6*(sqrt(13) - (1 + sqrt(13) + sqrt(13)))*-1) + 5.\nAnswer: -6*sqrt(13) + 1881\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 6*d - 12 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6295, 25529, 57591, 102481?\n\"Answer: 6414*m**2 - 8*m - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 3*u**2 - 3. Let j(o) = 13*o**2 - 13*o + 5*o**3 - 13 + 18*o - 5*o. Determine -6*j(z) + 26*k(z).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 304.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 992 and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 55, 82, 109, 136, 163?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59 - -41. What is the units digit of 31\/6 - (-3)\/g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of b**7\/1120 + 7*b**6\/480 + b**5\/10 + 3*b**4\/8 - 35*b**3\/3 - 66. Let n(p) be the third derivative of z(p). Solve n(f) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (-31 - -4 - 2). Calculate the highest common divisor of 81 and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3809, 15410, 34795, 61964, 96917?\nAnswer: 139654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1119 is divided by 225?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 139 + -138. What is the remainder when v*8\/(-6)*(-39087)\/1212 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0441 * -523652.\nAnswer: -23093.0532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 + 1 + 1 - 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*m**3\/7 + 4537*m**2\/7 - 513928*m\/7 - 154587\/7.\nAnswer: -(m - 227)**2*(10*m + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15331284 is divided by 2787?\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 0.08, -42, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -13131717\nAnswer: 1\/13131717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*u = 18258 - 303858. Does 15 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04 - 0.16. Let i = 2 + -2. Let z = -128 + 131. What is the third biggest value in i, q, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/9379366 and -17\/7158?\nAnswer: 28138098","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -1288\/50765 + -2\/715. Let s = v + -63\/284. Let l be 2\/(1\/(2\/8)). Which is greater: l or s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 4*t + 2*l + 106, 0 = -3*t + 2*l - 91. Let h = 51 + t. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -8.3. Let b = -60 - -73.6. Let h = b - 13.4. What is the nearest to h in -9\/4, l, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.42498, 0.07, 0, -3?\nAnswer: -0.42498","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005736 rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 68*(-4 + 36\/8). Let a be w\/((-1)\/1)*4\/(-8). Suppose a + 3 = 4*b + 4*p, -2*p = -10. Solve b*t - 4*t = 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*d + 4 = -7, -14 = 2*m + 4*d. Let n = m - -8. Suppose 4*x + l - 1507 = 0, 0 = x + 4*l - n*l - 378. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -0.3, 42, 2\/15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqbqqqqgqqqqdqabgq. Give prob of sequence qad.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.8 (b) -2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 149*y**2 + 1099*y + 1096. What is c(-156)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 283 + -514. Let q = 396 + m. Is q a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/1110*-8)\/(((-35)\/84)\/((-5)\/8)).\nAnswer: 2\/185","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 32\/8 - (3 - 1). Factor -a**2 + 5*a - 5*a + 3 - c*a**2.\nAnswer: -3*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(4\/(-5))*16. Let y = x - 6. What is the smallest common multiple of y and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 + -0.42. Let a = 5.02 + l. Suppose 0 = -14*z + 2*z + 48. What is the nearest to a in z, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5390, -5389, -5388, -5387, -5386?\nAnswer: -5385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-649)\/(-2))\/((31 - 16)\/(-90)). Let g be 4 + 1 - 3009\/o. Factor -2\/11*h**4 + 168\/11*h - g - 122\/11*h**2 + 28\/11*h**3.\nAnswer: -2*(h - 6)**2*(h - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -10. Let c = y + 13. Suppose -2 + 12 = -c*s. Let p(h) = -h**3 - 4*h**2 - 4*h - 3. Give p(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 9:22 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-17)\/34)\/((-1)\/2). Suppose 5*z = -2*c - m, -4 = 8*z - 4*z. Solve c*j = -4 - 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -28\/3*a**6 + 2\/3*a**3 - 2\/5*a**5 + 31 + 15*a**4 - 2*a**2 + 0*a. What is i in m(i) = 0?\nAnswer: -1, -2\/7, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78*d - 71*d + 52*d - 35*d)*(-d - 6*d + 5*d).\nAnswer: 264*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -24. Let k be d\/(-3) + 8\/24. Suppose 0 = -0*z + z - 4*b - 31988, -4*z = -k*b - 127988. What is z rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 204 = -62*b - 67, -1694*d + 1696*d + 155 = 5*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40536.5*0.36.\nAnswer: -14593.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.082 - 0.382. Is 13 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/102 and -11\/746.\nAnswer: 38046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p - 2*p + p**2 - 2*p**2 + p**2 - p**2 + (0*p**2 + p**2 + p**2)*(-1 + 1 - 2) - 2636*p**2 + 58264 - 58264.\nAnswer: -2641*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 486*f**2*n**3*p - 93027*f**2*n**3 - 34086*f*n**3*p + 2*f*n**3 - 3*n**3 - n wrt p?\nAnswer: 486*f**2*n**3 - 34086*f*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/35 greater than or equal to 0.11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*g - 22*g + 10*g + g**3.\nAnswer: g**3 + 51*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 123245?\nAnswer: 123244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96 and 735380?\nAnswer: 17649120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -6*x - 25. Suppose -6*j = 15 + 21. Let w be b(j). Solve -w = 5*t - 5*d + 9, 4*t = 2*d - 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54 + -18 + (-35 - 8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**2 - 8 - 63*i - 5 + 58*i - i**3 as w*i + f*i**2 + h + o*i**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3*c = 0, 0*c - 3*c - 12 = 3*g. Let o(i) = i**2 + 2*i + 2. Let h be o(g). Suppose 5*m - 2*m - 2*m + 4*m**h - 3*m**2 = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21547393729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 18, 10, -2\/119, 1, -2\/11, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ec when two letters picked without replacement from caaccceackahkk?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1515 - 0.0378301?\nAnswer: -1515.0378301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2627.621+-1366\nAnswer: 1261.621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/6)\/((-3)\/6). Differentiate -22*i**4 + 41 - 11 + p*i**4 wrt i.\nAnswer: -76*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 2) in base 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/20*-430*(-3 + -115)?\nAnswer: 5, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - n + 31 = 0, 4 = r + 4*n - 1. Differentiate 0*t - 19 - 38 + r + 7*t with respect to t.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6924 divided by 651?\nAnswer: -2308\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -108*x - 2803. Is h(-77) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o + 8. Let a be k(-7). What are the prime factors of a\/(-9)*1*3 - -102?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 + 27 - 8*w**3 + 0*w**2 - w**3 - 5*w**2.\nAnswer: -9*w**3 - 3*w**2 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -433689, -5, 2\/3, -1\/3?\nAnswer: -433689","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, -0.5, 2\/17, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4 + (1 + (sqrt(108) - (-2 + sqrt(108))))**2)*5.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**4 + 11469114*a**3 - 5*a**2 + 75821442*a wrt a?\nAnswer: -36*a**2 + 68814684*a - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 26\/7 + (-6)\/(-21). Let z be (3\/n)\/((-1)\/(-4)). Solve -4*w = 3*o + 11, 0 = -3*o + 2*w - 2 + z for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 6*l + 1. Let r be v(4). Let q = -130 - r. Is (7 + -8)*(1 + q) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.08 (b) -4 (c) -4418\/3 (d) 4 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 h, and 1 c when three letters picked without replacement from {p: 3, s: 4, a: 2, h: 1, c: 2}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.43 - -0.03. Let k = 0.7 + a. Let v(y) = y**3 + 3*y**2 - 2*y - 6. Let r be v(-3). What is the nearest to r in -4\/7, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/30)\/(1*3\/(-45)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) -1\/2 (c) 8\/73 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.48455um in centimeters?\nAnswer: 0.001248455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0, -2\/11, 16834, -1, -1.6, -6\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s + p = -40, 2273*s + 8*p = 2278*s + 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -13. Which is the second smallest value? (a) 2 (b) 3\/8 (c) g (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 297.88 (c) 1\/4 (d) -5 (e) -1 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 8*y + 22. Let f be q(-5). Suppose f*j + 32 = -j. What is the second biggest value in j, -10, -0.04?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-116)\/30*96\/64 - -7. Let c = 38.3 + -8.3. Sort x, -0.5, c, 4.\nAnswer: -0.5, x, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 45. List the prime factors of 170\/7 + y\/(-63).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 100 + -54. Calculate the lowest common multiple of o and 6.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (3*1*sqrt(88))\/(sqrt(275)*-2))**2.\nAnswer: 18*sqrt(2)\/5 + 243\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*g - 5*m + 30, 5*m = 4*g - 13. Solve 7 = g*s - 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1 + 1*sqrt(1088) + sqrt(1088) + 0)*-1 + 6*-1*(sqrt(1088) + 5 + sqrt(1088) + sqrt(1088)*2))**2.\nAnswer: 36192*sqrt(17) + 2208987","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, h: 2, f: 1, l: 1, g: 1, m: 2}. What is prob of picking 1 h, 1 l, and 1 m?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -13*v + 333. Let s be f(20). Suppose 77 = 5*h - s. Let w = 4 + 5. Calculate the least common multiple of w and h.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/155 at least 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*p**3 + 6*p - 3*p - 71*p**3 - 4*p.\nAnswer: -p**3 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 5*l - 2 - 3, 0 = 3*l - 2*k - 3. Let c be -2 + l + 2 + 5. Suppose 2*o + 0*o = c. Solve -o = -6*r + 3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -2*a**6\/27 - 14*a**5\/45 - a**4\/2 - 10*a**3\/27 - a**2\/9 + 1. Determine y, given that x(y) = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4\/5 (b) 1 (c) 3.7 (d) 0.55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h - 53. Let a be y(34). Let o(j) = j**2 - 24*j + 9. Let u be o(19). Which is bigger: a or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/3)\/(8\/48). What is the third derivative of -2*a**j + 2*a**2 + 4*a**5 - a**2 wrt a?\nAnswer: 240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166 + 160 + 6 - 36*y.\nAnswer: -36*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*u + 2, -5*f + 0*u = -5*u + 10. Find the common denominator of (-1)\/(2*f) + (-16951)\/8096 and -81\/16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -4553?\nAnswer: -4555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2712 * -0.3.\nAnswer: 0.38136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-189)\/18*16\/6. Let i = 29 + g. Calculate the remainder when 2 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 (base 12) in base 4?\nAnswer: 3331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 89 - 54. Let x = -25.2 + v. Let m = 5.8 - x. Put m, -1, 0.08 in descending order.\nAnswer: 0.08, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*k**2 + 2 + 0 + 8*k - 18*k**2)*(-5*k + 3*k + k)*(-3 + 1 - 1).\nAnswer: -3*k**3 + 24*k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 25 = -a + 1, 12 = -3*a + 5*i. Let u = -49 - -34. What is the remainder when 14\/10 + a\/u is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1709, 1\/4, -40, 1\/7 in ascending order.\nAnswer: -1709, -40, 1\/7, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d + 1. Let k be f(-1). Let t = 1 - 0.9. Which is smaller: t or k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1585\/16 + -96. What is the common denominator of (6\/(-3))\/1 - (-371)\/336 and n?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -11*z + 53, 899*z - 17 = 900*z + 5*t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -2021?\nAnswer: -2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 31\/2. Let y = -3.2 + 3. Let t = 0 + y. Which is the nearest to o? (a) -3 (b) t (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 0 - (9 + (-19 - -24) + 24).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 514*g**4 - 62*g**3 - 6*g - 2180095.\nAnswer: 2056*g**3 - 186*g**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 12 = -2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -191\/30 + 13\/2. Let v = 57.1 - 57. What is the third smallest value in g, 0.3, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 247944097 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(288) + 0 + sqrt(288) + -4 + sqrt(288) - (sqrt(288) + 0 + 2 - sqrt(288))) + 4*((1 + sqrt(288))*3 + sqrt(288)))**2.\nAnswer: 4560*sqrt(2) + 104068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186189 is divided by 15479?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 119 + -106. Suppose -3*v = s - 25. Solve v*p = 5*u - 10, -2*u + 0*u - 3*p = 19 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -2.2. Let g be (-24)\/24*((-6)\/9 - 1). Which is the nearest to -1\/2? (a) -3 (b) s (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 - 29 = -2*s - 4*d, 4*s + d = -29 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 527 greater than or equal to 42683\/81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.23, 10.1, 2, -3\/5, -7, -5 in decreasing order.\nAnswer: 10.1, 2, -0.23, -3\/5, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2532 and 367.28.\nAnswer: -929952.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3003.53 rounded to the nearest 10?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1129.725 to the nearest ten.\nAnswer: -1130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -383178 + -465413. Let z = b + 848548.0041. Let c = -43 - z. Round c to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2806 + 2823. What is the greatest common divisor of 2720 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**2\/4 - 39641520*t + 523816702636800 = 0. Calculate t.\nAnswer: 26427680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v - 6. Let i be a(-5). What is the smallest common multiple of -2 + i\/((-2)\/8) and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 7*o + 27. Determine p(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i - i - 16*i**2 - i**3 + 0*i to x + u*i**2 + t*i**3 + l*i and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 982 is divided by 76?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 22\nAnswer: -8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 5 + 8)*(-2 - 2 + 2)*(-6 - 1 - 1)*(7*q - 3 + 3) - q + 2 - 2 + (3*q - 2*q + 2*q)*(-3 - 2 + 3).\nAnswer: 1001*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*x - 3*m, -3*x + 5*m = -x + 7. Suppose 14 - 106 = -x*d. What are the prime factors of d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -932, -3587, -7964, -14063, -21884, -31427, -42692?\nAnswer: -55679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 837 by -22909.\nAnswer: -27\/739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**3 + 896*w + 888*w - 1712*w + 7*w**3.\nAnswer: 13*w**3 + 72*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31514845, 63029686, 94544527, 126059368?\nAnswer: 157574209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(567) + sqrt(567)*-2)*-5 - ((sqrt(70)*1 + sqrt(70))*-1 + sqrt(70))\/(sqrt(120)\/(sqrt(48)\/sqrt(4))).\nAnswer: -89*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-48)\/15 - -3 - 62*3\/(-30). Solve j = 5*d + 2*p + 1, -3*d - 5*p = -3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -334 - 34?\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -5, -4\/9, 6, 5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z**2 + 9*z**2 - 9*z**2. Let q(r) = 4*r. Give q(f(y)).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**3 - 52*d**2 - 456*d = 0. What is d?\nAnswer: -6, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -29. Suppose -n - c*n = -2238. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17\/5 in -3\/7, -4\/3, 2, 5\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 204938549?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7\/21)\/(37\/(-12)). Let l = 5\/82 + 67\/246. Which is the closest to 1\/2? (a) l (b) g (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 31913720?\nAnswer: 127654880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 71 = 1021. Let g = z + 276. Solve -7*y + g*y = 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -157340*a**4 - 3*a**3 + 34546*a**2 wrt a?\nAnswer: -3776160*a - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, -5, 64.2?\nAnswer: 64.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/6*(144\/6)\/8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 3:17 PM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -5, 1\/3, 0, 26?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j + 8. Let s be n(6). Suppose -4*g + 20 = 0, 4*u + s*g = 1 - 7. What is the second smallest value in u, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + -4. Suppose 5*k - 18 = -5*q + 17, -2*q = -5*k + 56. Let h = k + w. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29392954.\nAnswer: 2, 47, 6653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 + 239 = 291*c - 135*c. Determine t, given that 338\/11 - 52\/11*t + 2\/11*t**c = 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 67289872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 15*(-52)\/112710*-17\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*y - 352 = -880 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 390 - 393. Which is the closest to -18? (a) 5 (b) 1\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 943930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -98 - -137. Let k = y + -36. Let u be (-4)\/(k*(-4)\/216). What is the greatest common divisor of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 94619170 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i**2 + 5*i - 2. Let k be g(1). Let w(m) = 2*m - 2. Let u be w(7). Is (-3)\/u + 1770\/k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 244 + 647. What is the remainder when n is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 901.757l in millilitres?\nAnswer: 901757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 + 3*m**2 - 4840*m + 9596*m - 4756*m.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of m**4\/24 - 3*m**3\/4 - 199*m. Factor j(n).\nAnswer: n*(n - 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -6*t - 33. Let d be p(-6). Let w = 61\/384 - -1\/128. Find x such that 0 - 1\/6*x**d + 1\/3*x - 1\/2*x**2 + 1\/2*x**4 - w*x**5 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 4:23 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2691 - -8204. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 76, 77, 78?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 53505*j**2 + 374523*j\/7 - 12\/7.\nAnswer: 3*(j + 1)*(124845*j - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -945605*x + 945605*x + 4*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2001*k + 1. Suppose 7*m - 3*m = g + 4, -3*g = -5*m + 5. Let n = 1 + g. Let i be b(n). Round i to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 286294472 and 328.\nAnswer: 286294472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5136*p - 10. Let m(x) = -1026*x - 1. Let v(o) = -5*m(o) + w(o). Let i = -7 - -10. Let q(f) = 11*f + 9. Determine i*q(h) + 5*v(h).\nAnswer: 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18770, 37522, 56274?\nAnswer: 75026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 111202 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5*p + 7020, -4*y - 1404 = -p - 0*y. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -8 + 9 + 4)*129\/(-3870)\nAnswer: -7\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 7:16 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 15*f + l = 7, -4*f - 2*l + 2 = 0. What is the third biggest value in 3.1, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -3*c - c. What is the remainder when c is divided by (3\/(-2))\/(12\/(-112))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**6\/180 + t**5\/30 - t**4\/6 - 23*t**3\/6 - 36*t. Let f(w) be the second derivative of v(w). Calculate f(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7545 + 7572. What is the remainder when d is divided by 1\/(-3) - 40\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -17*w**3 + 3*w**2 + 5*w + 1. Let y = -16 + 25. Calculate the remainder when p(-1) is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 5:19 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/27*17\/(-34)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2844\/24)\/((-3)\/(-28))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 9168\/65, 0.07, -3\/5 in increasing order.\nAnswer: -3\/5, 0.07, 0.2, 9168\/65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.7 and 0.47.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**3 + 11*o**2 - 8*o - 1. Let d be b(-4). Solve 4*w + d = -p, 0*w = 4*p - 4*w - 20 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2492 - -3386. Is f > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 1. Let x(j) = j**2 + 2*j. Let k be x(-6). Suppose -7*t + k = -t. Let l be h(t). Solve l = 4*g - d - 7, 0 = -4*g + 3*d + 14 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qsqeysqsqslqkksqsqy. Give prob of sequence eqk.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1680798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2. Let w(r) be the first derivative of r**6\/90 - r**3 - 3. Let i(h) be the third derivative of w(h). Determine i(j(l)).\nAnswer: 16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 0*m + m)*(2 - 2*m + 4*m + 0)*(-6*m**3 + 3*m**3 + 2*m**3).\nAnswer: -4*m**5 - 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 346.9 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 125856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (-12)\/4 - 1. Find the second derivative of 2*w**2 - 5*w**2 - 5*w - a*w**2 wrt w.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 3 - 2, 0 = m + r - 803. Suppose -m = -3*n - n. Let z = -31 + n. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4116810 divided by 3\nAnswer: 1372270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 3*u**2 + 27*u + 110. Give d(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = m + 2*a + 9, -5*m - 2*a = 5. Let f = 19 - m. Let l = f + -16. Calculate the greatest common divisor of l and 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 times 0.228?\nAnswer: 4.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2. Let q(p) = -4*p**2 + 44*p**2 - p + 0*p + 0*p**2. Determine k(q(r)).\nAnswer: -1600*r**4 + 80*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 468 divided by -6\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 m when four letters picked without replacement from {o: 2, u: 7, m: 2}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 10:13 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 8*x - 15 = 0. What are the prime factors of (-4808)\/(-32)*(x - -5)?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 2. Let g(o) = 20 + 16*o - 32*o + 13*o. Let w(f) be the first derivative of -f**2\/2 + 7*f - 3. What is d*w(s) + 6*g(s)?\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.05 (b) -1 (c) -7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24)\/16)\/((-6)\/8). Suppose 0 = -5*q - 2*s + 35, -q + 0*q - c*s - 1 = 0. Suppose q = -3*p + 42. Calculate the remainder when p is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*v + 3 = 0. Suppose 5 = -8*q - v. Let c(k) = 11*k**2 - 7*k - 1. Let m(a) = -12*a**2 + 6*a + 1. Let f(w) = 6*c(w) + 7*m(w). Give f(q).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 56*d + 3*d - 7 - 60*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111527 is divided by 111434.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**20\/i*i*i*i\/(i**(2\/27)\/i)*i\/(i\/(i\/((i*i\/(i**(-18)\/i))\/i)))*i*i*i*(i\/(i*i**(-24)))\/i assuming i is positive.\nAnswer: i**(808\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -36 + 27?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from shlthhr. Give prob of sequence rst.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 5, s: 1, j: 4, f: 10}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 279800 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = p + 21. Find the common denominator of (p - 26\/5)\/(2\/66) and 20\/29.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5027, -20802, -47085, -83870, -131151, -188922, -257177?\n\"Answer: v**3 - 5260*v**2 - 2*v + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w**3 + 4*w**3 - 21*w**2 + 3*w**3.\nAnswer: -4*w**3 - 21*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - j + 5*r - 35, -5*r = 2*j - 30. Suppose -7 = -n + j. Calculate the highest common divisor of n and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/12*-3)\/(1\/(-8)). Which is bigger: -11 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 124412 = 3*m, 4*m - 4*u - u - 165890 = 0. What is m rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66\/(-7))\/11*1\/2.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 40 = 18*t - 20*t, -3*t = 2*z + 3 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 486*t - 363 = 609. Solve 2*r - 16 = 2*c, -c + 80 = t*r + 79 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5 = 3*b - 1, b + 2 = f. Suppose g = f*s + 1064, s - 4*g = g - 550. What is s rounded to the nearest ten?\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 20, -c = 3*c - 3*f + 24 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3 + 3 + 2*l**2 - 3*l. Let t be 434\/62 - (30 + -25)*3\/5. What is z(t)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1687, 5777, 12419, 21613, 33359, 47657?\n\"Answer: 1276*h**2 + 262*h + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 0.2. Suppose 6 = -2*o + n, -3*o + 5*n - 10*n - 22 = 0. Which is the biggest value? (a) o (b) f (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4830 - -4830.2. Let o = -0.15 + 0.06. Let x = o - -2.09. What is the biggest value in 3, x, -7, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -4\/3*n**3 + 0*n**2 - 5 + 0*n. Let a(w) be the third derivative of w**4\/12 + w**2. What is x(a(v))?\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 573*w**3*z - w**2 + 79*w*z wrt w?\nAnswer: 3438*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**3 - 7*m**3 + 0*m**3 + (-36 - 11*m**2 + 36)*(14 - 14 + 18*m).\nAnswer: -209*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, y: 2, n: 1, w: 2, f: 1}. What is prob of sequence nl?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 + -55. Suppose -4*v - 35 = 3*t - 2*v, -5*t - 3*v - 57 = 0. Let r = x - t. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**4\/6 - 7*h**3\/3 - 4*h**2 + 8*h. Let z be n(-6). Suppose -2 + 6 = -4*m, -2*s + z*m = -112. Is 27 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46.4 - -43.4. Let s = 2 - 3. Which is the closest to s? (a) v (b) 5\/4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 1\/110 (c) -3644 (d) -0.18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - c + 12 = 0, -2*c - c + 43 = 4*i. Let h = 3 + -5. Let j be (i\/2)\/(h\/(-4)). Solve -10 = j*k - 2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4958?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3 = -3*a - 5*r, r = 3*a - 15. Suppose w - t = 374, -a*w + 902 = 3*t - 587. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/(-14) - (-14)\/4. Solve 2*z + 2 = -l*f - 2*f, z + 1 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -403433432?\nAnswer: -403433431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*b - 4*g = -7, 5*g = 5*b + 5. Let l = b - 4. Suppose -a - a = 4. What is the closest to 0 in a, l, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -i**4\/12 - 2*i. Let w(u) be the first derivative of -u**2 - 4*u**2 + 3 + 59 + 2. Give w(s(z)).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 5 - 1. Suppose -78 = -2*a + o, a - o = -v*a + 115. Let k = 39 - a. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4408\/1005 + -142\/67. Let k = 28\/15 - x. Let j = 2.3 - -0.7. Which is the nearest to 0.2? (a) -0.2 (b) j (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 4*k - 5. Let l be (-2)\/1*54\/(-36). Let t be g(l). What is the third derivative of -t*z**6 - 15*z + 15*z + 46*z**2 wrt z?\nAnswer: -4080*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140, -1105, -3726, -8831, -17248?\nAnswer: -29805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2755 + 2768. Solve c*g - 8*g - 15 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 343 divide 5227725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -7*p - 20. Let o be (6 - -15)*-1*(-1)\/3. Let d(g) = 5*g + 11. Let k(a) = o*d(a) + 4*i(a). What is k(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u + 72 = -4*u. Suppose 0 = 2*g - 5*g + 4*t + 236, -4*t - 20 = 0. What is the greatest common factor of g and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -j**5\/660 + 65*j**4\/22 - 25350*j**3\/11 - 1241*j**2. Find s such that m(s) = 0.\nAnswer: 390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 340 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3303692.\nAnswer: 2, 7, 117989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -252 + 4?\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*r**2*y + 7784701*r*x**3 + 2*r*x*y + 84*x**3*y + 19*x**2*y + 13303*y wrt r.\nAnswer: 6*r*y + 7784701*x**3 + 2*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 332469*d**3*n**3 - 2*d**2*n**3 - 13*d**2*n**2 - 57*d*n**3 + 4*d*n**2 + 8*n**3 wrt d.\nAnswer: 1994814*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1296) + sqrt(1296)*3)\/(sqrt(392) + (sqrt(392)*-1 - sqrt(392)) - sqrt(392)) + -2 + -3.\nAnswer: -5 - 18*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/26)\/(-3)*(-20)\/280*14?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) 1 (c) 2.6 (d) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 9:03 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 13*r**4\/4 - r**3\/6 + r. What is the remainder when z(1) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 13494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = x - 0*x + 6, 0 = t - 4*x - 9. Suppose 8*p - 25 = -t. Let j(q) = -q**3 + 2*q**2 + q + 1. What is j(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48872 or 48871?\nAnswer: 48871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 86*p**2 + 148*p + 1692. Let j be a(84). Solve j*f - 34 = 38 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1900646745 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -0*z + 26*z. Find the third derivative of 52 - 2*r**z + 3*r**3 - 13*r**4 - 11*r**3 + 10*r**4 - 4*r**3 wrt r.\nAnswer: -72*r - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 9736*q - 276. Let p be w(1). What is the greatest common divisor of 10 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbbv when four letters picked without replacement from bvvnvbh?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*n + 7, 0 = 3*z + 2*z + n - 14. Let a(g) = -3 + z + 26*g - 24*g. Let i(m) be the second derivative of m**4\/2 - m. Give a(i(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(-4*sqrt(176) - sqrt(176) - sqrt(176)))**2 - sqrt(176) - (3 + (sqrt(176) - (sqrt(176) - (sqrt(176) + sqrt(176) + -4 + sqrt(176))))**2))*-2.\nAnswer: -47482 - 184*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - (-6 - -21)) + (2 + -25 - 1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nng when three letters picked without replacement from {n: 3, g: 2, i: 2, e: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -230*d - 81154. Determine q(-353).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/21 - 0\/(-1). Let u = -0.3 + -0.7. What is the closest to u in -2\/5, k, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.06, -4, -35, -39\/5, -12, 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 10*i**2 + 2*i + 9. Let t be y(-12). Let f = -197 - t. Calculate the remainder when f is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-28)*(-70)\/20)\/((-24)\/(-42))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**3 - 5517645*u**2 + 20*u + 22070580 = 0 for u.\nAnswer: -1103529, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 11*p - 23*p + 21*p - p**2 + 1. Let u be m(9). What is the nearest to 0.1 in -1\/3, -0.5, u?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -210?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 + 75. Suppose n + 3*y = 2*y + 23, 2*n - 2*y = 46. Let d = n - 5. What is the remainder when u is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -786*w**3 - 9 - 110 - 17*w**2 + 776*w**3 wrt w?\nAnswer: -30*w**2 - 34*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 11*n**2 - 6*n. Let y(u) = -10*u**2 + 5*u + 1. Give -5*s(h) - 6*y(h).\nAnswer: 5*h**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10330312 - -1120003?\nAnswer: 12110321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2288, 714, -2\/7, -3\/7 in increasing order.\nAnswer: -3\/7, -2\/7, 0.2, 714, 2288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736) + -3 + 0 + sqrt(2736) - ((sqrt(95) + sqrt(95)*3)\/sqrt(5) + 4)**2.\nAnswer: -323 - 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -151\/8 - -19. What is the smallest value in h, -0.5, 3\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112596 divided by -21?\nAnswer: -37532\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -620 * 2\nAnswer: -1240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (938\/5)\/(34\/4420*182)?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 h when three letters picked without replacement from ffhhcahahq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 26088 divided by 24\nAnswer: 1087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -126*(-1974)\/228 + 2\/19 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7265 + -3?\nAnswer: 7262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -35, -4\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 0, -200461, -2, 5.\nAnswer: -200461, -23, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -786.\nAnswer: 5\/786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - (-1)\/1)\/4. Suppose g = 2*q - q - 19. Is q\/(51\/(-13) + 4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3466103 - -13321559. Suppose -c = -2*q + 16344544. Round q to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2930*h - 1264 = 2869*h + 1176 for h.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4 - 19 + (1 + 5 - 4)*(3 + 2 - 6))*(t + 3*t - t).\nAnswer: -36*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99256269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0514 (b) 0.2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 128494 + -86494. What is d rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g**4 - 96*g**3 - 427*g**2 - 570*g + 200 = 0. Calculate g.\nAnswer: -5, -4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 516*y - 7536 - 31164 = 0 for y.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 293, 232, 121, -46, -275, -572?\n\"Answer: -l**3 - 19*l**2 + 3*l + 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -2762*a**3\/3 + 2148. Let f(q) = -3*q**2. Determine m(f(z)).\nAnswer: -24858*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - 5 - (0\/(-2) - -7403). Let t = 4169 + x. Let b = t + 430386\/133. Which is greater: b or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c\/((c**(1\/2)*c)\/c)))*c)**(-33)\/(c*c*c**(-2\/5)\/c)**32 assuming c is positive.\nAnswer: c**(-1017\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 13335672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 352742064 to the nearest integer?\nAnswer: 18781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 23 - 9. Let y = l + 5. Let p(z) = -4*z + 1. Calculate the remainder when 36 is divided by p(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 15 = -4*t - 5, -3*t + 2*z + 4 = 0. Solve -2*r + 2 = -t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1027?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.6 less than 18676831?\nAnswer: 18676794.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50 + 66. Solve -5 = -d + 2*v, 6*d - 2*d = -v - i for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102244, 204487, 306730, 408973, 511216?\nAnswer: 613459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11231a0 (base 12) in base 3?\nAnswer: -20011201200210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59736940.\nAnswer: 2, 5, 229, 13043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/((-295)\/225*3 - -4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of w**6\/300 + w**5\/150 - w**4\/60 - w**3\/15 - 3*w**2\/2 + 3*w. Let j(y) be the first derivative of n(y). What is s in j(s) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*j + 163*u + 54 = 161*u, -3*u = -3*j - 27 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (20 + -10 + (2 - 14))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -21404442 (base 5) to base 7\nAnswer: -1400231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3d1e + 1?\nAnswer: 3d20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 + 4*z + 5.\nAnswer: -(z - 5)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**3*s**3 + 156314*i**2*s**3 + 25*i*s**3 - 1203*i*s**2 + 2*i*s wrt i.\nAnswer: 6*i*s**3 + 312628*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(1377) - sqrt(1377)*-3)*-2 + (-3 + 0 + sqrt(1377))**2).\nAnswer: -504*sqrt(17) + 5544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1055871762?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2*a + 4)*(3*a**2 + 3*a**2 - 4*a**2 + (a - a + 3*a)*(3*a - 5*a - 4*a)) to x*a + k*a**2 + l*a**3 + i and give l.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 + -25. Let z = g - 25. Solve 4 - 24 = -z*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 241 divided by 41.\nAnswer: 241\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -440 - -444. What is the nearest to -1\/5 in -13, f, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/476*20\/(-5)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 31 - 6)*(-1 + 1 + 6)*(-2*m - 36 + 36).\nAnswer: 312*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.3 + -9. Let h be 92\/24 + (-1)\/(-6). Which is the nearest to -1? (a) h (b) v (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 3894.\nAnswer: 4\/1947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -74*m**4\/11 - 514592*m**3\/11 + 1572270*m**2\/11 - 83484*m\/11 = 0.\nAnswer: -6957, 0, 2\/37, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 0 - 17 + l)*(-1 + 2 + 1).\nAnswer: 2*l - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*y + 630. Let a = -4287\/560 - -222\/35. Find the common denominator of ((-129)\/(-2))\/(y\/(-7)) and a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4857429645 to the power of 1\/3, to the nearest integer?\nAnswer: 1694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150745.\nAnswer: 5, 7, 59, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 217 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1276988 + 111761083.\nAnswer: 111761083.1276988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 712659881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**5\/5 - 2189*w**4\/5 + 31743*w**3\/5 + 1888037*w**2\/5 - 6763756*w\/5 - 64085172 = 0.\nAnswer: -17, 15, 34, 2174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 17 = -s, s = -4*z - 2 - 20. Let o be z*1*12\/(-20). Suppose 5*v = -4*a + 4, 4*v = o*a - 5*a + 8. Which is bigger: v or 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48961 is divided by 3660?\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7089?\nAnswer: 3, 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 8:41 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 2\/7, -13\/2, -4 in decreasing order.\nAnswer: 9, 2\/7, -4, -13\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of i**3\/3 - 14*i**2 + 115*i - 107. What is the hundreds digit of f(34)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 4*d**4\/5 + 12228064*d**3\/5 + 9345322368096*d**2\/5 - 7476287241856*d + 7476297024320 = 0.\nAnswer: -1528510, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5114 - -0.6114. Let v = -5.3 - 0.7. What is the closest to -0.1 in p, v, -2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 2) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/4*(-1 + 3\/(-3)). Let z = -1 - 0. What is the closest to z in -4\/9, 3, c?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 9 = 4*d. Suppose -d*a = -2*r - 11 - 40, 3*r = a - 10. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 302 + -454. Let v = t - -766\/5. Factor 3\/5*w + 3\/5*w**3 - v*w**2 + 0.\nAnswer: 3*w*(w - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -5\/2*a**2 - 121 + 0*a. Let d(k) = 26*k**2. Calculate d(t(l)).\nAnswer: 650*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 - -29. Suppose -4*l = -2*y, 9 = 4*y - 2*l + m*l. Suppose -5*o - 3*i = -y*o - 15, o - 17 = -5*i. Solve -3 = 4*x + g, 7 = o*x + 2*x + 3*g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69023 (base 13) to base 10\nAnswer: 191168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -70 + -48030?\nAnswer: -48110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(99) + 0 + 0).\nAnswer: 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 414032 + 0.21295.\nAnswer: 414032.21295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/862897 and 99\/9170?\nAnswer: 8628970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 149179 (base 16) to base 8.\nAnswer: 5110571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**13)\/(r\/r**(1\/16)) assuming r is positive.\nAnswer: r**(-207\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1700\/(-1000)*(-24)\/(-102). Let g = -3.03 - -0.03. Let y = 6 + g. Put 0.1, y, t in decreasing order.\nAnswer: y, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 696631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 1631 + 1586 = -3*i - i, 0 = 4*i - 20 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -137, 42 in increasing order.\nAnswer: -137, 0, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g - 4*g - g + (0*g + 0*g + 2*g)*(-3 + 5 - 1)*(3 - 4 + 0).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.291 * 4\nAnswer: -1.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17821982 is divided by 32111?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33934*g**2 - 41957 with respect to g.\nAnswer: 67868*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -n + 10. Let k be (n\/4)\/((-1)\/12). Let o = -813 + 812. Put 1, o, k, -2 in increasing order.\nAnswer: k, -2, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 divided by 22\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*g + 12*g + 7*g)*(-g**2 - 6*g + 6*g).\nAnswer: -32*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -537 + 792. Calculate the smallest common multiple of z and 2.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 8\/((-8)\/(-5)) - -429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 7:26 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -463*v - 5 = -464*v, 0 = 4*l + 2*v + 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -410*j + 414*j + 4*x + x = 1 + 19, -9*j - 7*x = -28 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 158682633?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hlgelggegee. What is prob of sequence le?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2203113102 (base 4) to base 5.\nAnswer: 132403023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 698729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 18*k**2 - 33*k + 14. Let d be t(16). Which is the nearest to d? (a) 2.4 (b) -2\/3 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -92*o**3 - 5*o**2 + 86*o + 356. Let y be n(-4). What is the greatest common factor of y and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*o**5 + 3276*o**2 - 116205*o.\nAnswer: 300*o**3 + 6552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3457782613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 20\/(-35) + (-8)\/(-14). Let z = -2 - -8. Let t = 2 + z. Solve 2*w = -p*w - t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-82 - -15) + 94 - 115\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i - 5*c + 40, 66 = -5*i + 5*c + 56 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -474*j - 2939 - 3623 = -88*j for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 9. Let o(l) = 22*l**2 + 6*l - 6. Let j be o(s). Let g be -1 + -1 + j\/1. Round g to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.42 + -1.3. Let b = s + -5.12. Let j = b + 4.9995. Round j to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 301730800 to the nearest one million.\nAnswer: 302000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-36)\/20*(-1 + -4). Suppose 0 = -3*r - 2*u + 51151, j*r - 14*r = -5*u - 85235. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j**2 + j - 2. Let d(t) = -4*t**2 + t - 2. Let f(u) = -6*d(u) + 5*o(u). Let f(l) = 0. What is l?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55856 + 0.3\nAnswer: -55855.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -120 + 2?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + s - 10, -103935*s + 103939*s = 4*o + 64 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 29966252?\nAnswer: 269696268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-5)*1*8\/(192\/204)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 79294 to the power of 1\/2, to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 0*c**4 + 0*c**3 + 0*c**2 - 18 - 20*c - 19\/5*c**5. Find the first derivative of j(k) wrt k.\nAnswer: -76*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 + -41. Suppose -2*x + 4*n = -3022, -2637 = -i*x - 5*n + 4843. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*y - n, 1 = -y - 5*n - 10. Suppose 2*p = 7*p. Suppose -3*q + 5*q - y = p. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - (-4 + 1)) + (47 - 42)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (9 + (-7 - -2) + (-15 - 2))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 625221120?\nAnswer: 2, 3, 5, 81409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 1)*(13*y - 1192*y - 536*y - 1212*y - 660*y).\nAnswer: -7174*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-3\/2))**(2\/103))**23 assuming f is positive.\nAnswer: f**(-23\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, g: 2, a: 3, o: 6, j: 2}. What is prob of sequence gao?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + z + 2. Let k be n(0). Suppose k*i = -3*i. Suppose i = -2*b - 7 + 59. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - -91596.\nAnswer: 91586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 670416.\nAnswer: 2, 3, 13967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1410 + -1442?\nAnswer: -3402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168 and 16273180?\nAnswer: 97639080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1296 and 64?\nAnswer: 5184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 71? (a) -0.5 (b) 3 (c) -3 (d) 3\/73 (e) 21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 960 and 15.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -2*s**5\/15 - s**4\/3 - 2*s**3\/9 - 2. Factor h(i).\nAnswer: -2*i**2*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 486 + -28676\/59. Which is greater: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -0.04 (c) -15 (d) -53\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = s + o, 0 = -0*s - 5*s + 3*o + 18. What is the third smallest value in s, 3\/5, -2\/13?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 3 - v**2 - 3*v - 2*v. Let m be z(-7). Let a be -1 + 3 + -2 - m. Solve -4*c + a = 30 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 26 = 4*t + 2*a, -30 = 4*t + 3*a. Suppose 0 = -3*g + 6 - 3. Put g, 2, -3, t in increasing order.\nAnswer: t, -3, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66273047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171249 is divided by 804?\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 48\/237672*42\/(-4). Does 1 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -1590*j + 22287. Determine v(14).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*v - 14*v**5 + 11*v**5 + 2*v wrt v?\nAnswer: -60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3237 (base 8) to base 4.\nAnswer: -122133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 39*q**2 + 12*q + 5. Let u(r) = -40*r**2 - 14*r - 6. Give 5*u(l) + 6*z(l).\nAnswer: 34*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3857045.93599974 + -3857046. Let q = v + 0.064. What is q rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 32, 81, 150, 239, 348, 477?\nAnswer: 626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/(-24) + (-64)\/30.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + 2*a + a)*(35 + 3 - 2) as x*a + t and give x.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -276 - -300. Solve h + 10 = 8*g - 6*g, -4*g + 3*h = -c for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3452?\nAnswer: 2, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 118 - 110. Suppose 0 = a*t - 11*t + 12. Suppose -v + r = -55, t*v + 239 = 9*v + 4*r. Is 17 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -1 + 1 + 17*h. Let y(w) = 40*w. Let j(i) = 9*i. Let c = -363 - -354. Let t(g) = c*j(g) + 2*y(g). Calculate a(t(f)).\nAnswer: -17*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-15))\/(9\/375). Let j = i - 17. Which is bigger: j or -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7981112387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooooooooroooooo. What is prob of picking 3 o and 1 r?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3.8358 and 4.\nAnswer: 7.8358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 30\/177137?\nAnswer: 30\/177137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1 + sqrt(1700) + (-3 + (4*sqrt(17))**2)*-2.\nAnswer: -537 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 6*i + 9 = -3*j, -i + 3 = 5*i - 3*i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 1 = 42*c - 40*c, -2*l + 6 = 4*c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 3*4\/(48\/28). Suppose 0 = -5*v + m*q + 5, -19 = 6*v - 10*v - q. Let l = v - -20. Which is bigger: l or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1748 + 987 + 328*r**4 - 978*r**4 with respect to r.\nAnswer: -2600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 17204 divided by 44.\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -26)*(-19)\/(-285)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -29. Suppose r*b - 14*b - 1134 = 0. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 796 + 2*j + 0*j + 36 + 725.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*t + 2*a - 18405, -3*t - a = -11043. Suppose 5*b = -g + 45, -2*g - 6 = -16*b + 14*b. Suppose -b*d = d - t. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 17 - 18 = -0*o + o - 4*o, -5*x - 14 = 36 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 63 = -69. Let k(o) = -6*o**2 - 7 - 2*o**2 + o**2 - 6*o**3. Let c(n) = -5*n**3 - 6*n**2 - 6. Calculate a*k(m) - 7*c(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -790106 - -1306606. What is x rounded to the nearest 10000?\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-189)*(-6)\/5*135\/18.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2457958\/3 or -819319?\nAnswer: -2457958\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59325183 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -120 or -110?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y - 4. Let k(i) = 5*i - 3. Let c(w) = -4*g(w) + 5*k(w). Let p(m) = 3*m**2 - 4*m - 3. Let t(r) = 6*c(r) + p(r). Is t(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v + 2. Determine y(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 104 = -13*h. Let m be -1 + -29 - h\/(-4). Let b = m + 36. Calculate the remainder when 7 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1. Let x = -0.104 + 17.004. Let g = x + -17. Which is the closest to d? (a) 5 (b) g (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - 208. Let y = x + 216.5. Which is the third biggest value? (a) -2\/23 (b) 3 (c) y (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -551*p + 1105*p - 4*p**3 - 554*p + 6*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*m - 74 = f + 220 + 43, -2*m = -2*f + 30 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from unnnnunnuunnuuunuuu. Give prob of picking 2 n and 1 u.\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(8))**2 + sqrt(200) + (sqrt(200) - (sqrt(200) + sqrt(200) + 2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - -15. Let x = 103 - s. Let l = x + -78.972. Round l to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44*s**2 - 44*s**2 - 13 + 8*s**3 + 7 + (-4 + s + 4)*(-2*s**2 + s**2 + 3*s**2) - 5*s**2 + 2*s**3 + 5*s**2 + 2*s**3 - 2*s**3 + 2*s**3.\nAnswer: 14*s**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 4866, 33\/7, 2\/839?\nAnswer: 4866","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-27)\/(-15) - (0 - -1). Let r(w) be the second derivative of -f*w**5 + 1\/6*w**4 + 0 - w + 2\/3*w**3 + 0*w**2 + 1\/3*w**6. Find n such that r(n) = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 4*u = 240 - 242, -5*a = -4*u + 13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -125, -123, -121, -119, -117?\n\"Answer: 2*a - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 + 9*y**3 - 12 - 3*y**4 - 11*y**3 + y**2 - 9 to v*y + h*y**2 + m + s*y**4 + u*y**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/823?\nAnswer: 1\/823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) 4 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-4)*(-4014)\/(-36795)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.45 - 4.55. Are -14.8 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -3 + -10 + (-21 - -6)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6*-5)\/((-6940)\/(-1735)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvnu when four letters picked without replacement from nuvupnjp.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 49277\/12 and -3\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -38, -97, -166, -233, -286, -313?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -86 - -97.3. Let i = 755.7 - 770. Let j = i + r. Which is the smallest value? (a) 0.1 (b) j (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -5*z**2\/2 + 8*z + 13. Let s(h) = h - 1. Give -6*s(w) - v(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -4. Suppose v + 4 = i. Suppose 5*y - 4*r - 38 - 41 = 0, i*y = -5*r + 70. Solve -5*h = -0*h + y for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -385*b - 3. Let x(q) = 2117*q + 15. Let f(y) = 22*j(y) + 4*x(y). Let s(w) = 5*w + 13. Determine 14*f(a) + 6*s(a).\nAnswer: 2*a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 15.22.\nAnswer: 18.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 720 + -76. What are the prime factors of m?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*(z*z**2)\/z)**46*(z\/z**(-1\/4))**32)**(-44))**(-4\/11) assuming z is positive.\nAnswer: z**2848","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 5 - 7. Let r = 7 + a. Let 3*x - 2*x**r - x - 2*x + x**5 + x = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18 - -5*(-3 + (-18)\/(-9)). Sort 6, -5, x, 5 in descending order.\nAnswer: x, 6, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 + 3)\/(-4)*-1022. Let o = x - -818. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79828 + -79825. Suppose 5*j - 9 = 1. Solve j*y = k*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*o = -34*o - 119. Suppose 0 = -o*j + 17*j - 40. Let w be (4\/3*-3)\/(-1). Solve -w*f = -3*m - j, -2 = -2*m - f - 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqoqqqqqqqqqqqqqqq. What is prob of picking 1 o and 1 q?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 24*c**2 + 43*c + 7. Let s be m(22). Let i be (-12)\/s + 18\/15. What is the nearest to -3 in 0, i, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -2\/7, -0.3, -20?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/3*u**4 - 4 + 10\/3*u**3 + 10\/3*u**2 - 10\/3*u = 0. What is u?\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003164 rounded to five decimal places?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d**2 - 10*d**2 + 0*d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8346731?\nAnswer: 173, 48247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1029, 1008, 985, 960?\n\"Answer: -f**2 - 18*f + 1048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 10*z**3 + 2*z**2 - 5*z + 4. Give i(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 9 = 0, -c - 3*c - p = -11267. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64 + 75. Let h(m) = m**3 - 8*m**2 - 26*m - 7. What is the units digit of h(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*c + 6393 = -1043 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4991, -9986, -14979, -19970, -24959, -29946?\n\"Answer: r**2 - 4998*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.45 - 0.05. Let j(u) = -u - 8. Let k be j(-6). Let z be k\/((-2)\/3) + -2. What is the closest to z in 3\/2, r, -2\/7?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 14*d**2 + 16*d + 9. Let z be 10 - 1 - 4*-1. Does 16 divide l(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -13 (c) -0.2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.075404 rounded to 3 decimal places?\nAnswer: 2.075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11468272 and 22936544?\nAnswer: 22936544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1101 - 1115. Let q be 1 + (0\/(-2) - 0). Let i = q + -2. Is i equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31 or -5\/6424?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - s + 79*s**2 - 176*s**2 + 2*s + 65*s**2 + 57*s**2 in the form l*s**2 + u + a*s and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*d - 178 = 282. Let o(k) = k**2 - 6*k + 11. Calculate o(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 1323272419274?\nAnswer: -1323272419274.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -20. Suppose -x - x = -3*m + 18, -3*x - 12 = -w*m. Calculate the remainder when 29 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48975425?\nAnswer: 5, 1959017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 0. Suppose 5 - h = -2*u. What is the lowest common multiple of 19\/2 - 1\/u and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4 = c. Suppose -8*v = -10*v - 8. Let o be (-39)\/9 - v - (-2)\/(-3). What is the third smallest value in 2, c, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 0.03.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 35161.78g?\nAnswer: 0.03516178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 43 = -27 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/144 and 47\/36?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - q = -2*b - 22, -5*b - q = -126. Suppose 70 = 3*y + 2*y. What is the remainder when b is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**4\/12 + t**3 + 11*t**2\/2 + 20*t. Let o be f(-5). Let u(d) = d - 2*d + d**2 - 2*d - o + 7*d. Determine u(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 417\/189) + 108\/252. Suppose 3*k + 20 = -2*t, -5*t - 3*k + 0*k = 32. Let x = 6 - 11. What is the second biggest value in t, x, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 463 + 453 = 5*n - 4*y, -3*n - 4*y = -524. What is the remainder when n is divided by (-9)\/(-1) + (11 - 23 - -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68467 divided by 2.\nAnswer: 68467\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 10 + -33 + 5 + -1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(-1\/19)))\/m*m*m\/((m\/(m**(-11)*m))\/m)*m\/(m\/(m\/(m*m**(-6)*m*m))*m)*(m\/(m\/(m**17\/m*m)))\/m assuming m is positive.\nAnswer: m**(191\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 149 - 148.91. What is the second smallest value in v, 1, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1486 + 1489. Let c(z) = -z + 6. Let d be c(0). Differentiate -3*t - 45 + d*t**3 + 30 + f*t wrt t.\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22923, -22935, -22947, -22959, -22971?\nAnswer: -22983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33191823.\nAnswer: 3, 7, 47, 33629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 4*j + 4. Suppose 9 = -2*l - 1. Calculate t(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*a + 5*k - 52, 2*k = a + 14. Let p be -4 - 3\/(9\/6). Let q = p - a. Put -4, q, 1 in decreasing order.\nAnswer: q, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -27, 3.\nAnswer: -27, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 14 = -1. Suppose -s = 3*s - 3*q - 64, 0 = o*s + 5*q - 45. Let h = -25 + 36. What is the least common multiple of h and s?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 127 - 89. Calculate the remainder when 151 is divided by r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2792065 a multiple of 300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 0 + 0)*(-26*x - 4*x**2 + 26*x) + (2*x**3 + x**3 - 4*x**3)*(5 - 4 - 3).\nAnswer: 10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in -3, 1, 1.5, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1349\nAnswer: -1352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2005201 (base 8) in base 11?\nAnswer: 32aa20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*x - 106 = 30*x. Let z = -43 + x. Calculate the remainder when 2*19 + (-2)\/(-2) is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibib when four letters picked without replacement from iibwtibbiitbit.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*p - 4 = 2, 3*z + 3*p = -6. Solve 2\/7*a - 1\/7*a**2 + z = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 694432281781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1580 = -6*v - 1622 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -411 - -408.415. What is z rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hitxqhyt. What is prob of picking 1 i, 1 x, and 1 q?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zu when two letters picked without replacement from ozuuooo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -192512 (base 12) to base 16\nAnswer: -6b55e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-210)\/600 + (-5)\/(-20)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0) + (12 - 12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35*g**5 + 127*g**4 + 2*g**3 - 100915*g**2 + 50*g wrt g.\nAnswer: 2100*g**2 + 3048*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2722 or -1751?\nAnswer: -2722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**7\/84 - c**6\/60 - 5*c**3\/6 + c**2. Let y(l) be the first derivative of m(l). Find the third derivative of y(b) wrt b.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.027, 319816, 3\/8, 2\/3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 7. Let r = 0.502 - 0.244. Let y = 0.158 - r. What is the closest to b in y, -0.02, -4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 825526*5\/(4 + 6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -2566919?\nAnswer: -5\/2566919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/((-2)\/(-3)*-5)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2*(-6)\/(-4))\/5. Let l = -3410 + 3401. Which is the smallest value? (a) t (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kqjs when four letters picked without replacement from zksssqkjqkjzzqmkkssk.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - 27c3a?\nAnswer: -27c32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 7*l**2 + 6. Let p(h) = 14*h**2 + 10. Let f(m) = 3*p(m) - 5*q(m). Let d(a) be the second derivative of -a**3\/6 - 2*a. Determine d(f(z)).\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 6 - 3)*(-3 + 2*w + 3) + (1 - 1 - w)*(-1 + 4 - 1) + 2 + w - 2.\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 a factor of 3686825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -k**4\/4 + k**2\/2 + 41*k - 50. Determine y(0).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 11*u - 5. Let f be n(-10). Let m be (4\/6)\/(10\/f). Let p = 4 - m. Solve p*w - w + 12 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 5. Is ((-38)\/v)\/((-2)\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 2*q = -8*y - 290, 2*y + 4*q - 284 = 0. Does 56 divide (-58)\/18 + 3 - (-65696)\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = m. Suppose -5*d + 3*t = -t - 41, 0 = -4*d + 5*t + 31. Suppose m = -4*i + 1 - d. What is the biggest value in -3, -0.3, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -5*o + 210. What is the remainder when o is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 1 - 19 - (-114 - -117).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2269915949?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/4 + 4 + (-1525)\/20. Let a be -2 - (1 - (0 + 327)). Let u = a + y. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2716 and 392182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -h + 2*p, 0 = 4*p - 6*p for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -5*i + 10, -4*l + 3*i - 5 - 1 = 0. Let w(x) = l*x + 0*x - 3*x + 0 - 4. List the prime factors of w(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (58654440\/110)\/26 - (-4)\/(-66)*9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, h: 1, l: 3, r: 1, a: 6, f: 2}. Give prob of sequence avl.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/6 of a decade in months?\nAnswer: 980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53 - 47. Suppose -324 = z*v - 1500. Suppose -6994 = -5*h + v. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 566 divide 60221324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 188 and 2115.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 15 = -4*u + 3*y, -2*u + 4 = 5*y for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-15\/2)*o*o)\/o*o*o)\/(o**(-27)*o)*o**(-2)\/(((o\/o**15)\/o)\/o*o))**(-21) assuming o is positive.\nAnswer: o**(-1449\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14 - (-3*(-1)\/(-1) - 1). Suppose 42 - b = 6*f. Let 0*m**5 + 0*m**5 - m**5 - 46*m**3 - 8*m**2 + 56*m**3 - m**f = 0. Calculate m.\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1410*v = -1412*v - 3*u + 11 + 31, 5*v + 2*u - 28 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -2, 2, 365, 0, 3 in increasing order.\nAnswer: -2, 0, 2, 3, 51, 365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15\/8? (a) -4 (b) 1\/11 (c) -2\/13 (d) 895\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*j**3 - 3180 + 3180.\nAnswer: 110*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 330 - 329.823. Let b = -0.17998 + c. Round b to four decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38187995032 - 0.102.\nAnswer: 38187995031.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 22 + 2058745*g**2 - 2058747*g**2 + 8.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 460?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**7)\/((o*o**0)\/o))\/(o**(-27\/5)*o\/o**(-1\/23)) assuming o is positive.\nAnswer: o**(1421\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbkkkbb. What is prob of picking 3 k and 1 b?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*q = -85258 + 82708 for q.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 120 + -79.2. Let n = r + -31. Round n to zero dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1190 by -1888.\nAnswer: 595\/944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + (-963)\/(-36))*(-36)\/27.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 2*l - 14. Let h be r(0). Let m = h - -18. Suppose -5*s + 59 = m. Calculate the remainder when 43 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-44339 + (2 - 3))\/(30\/(-500)). Round g to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71 - 71.037. Let v = c + 0.107. Let k = -4.93 - v. What is the third biggest value in -1\/5, k, -1\/11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29406 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6 - 0.58. Let n = z + -0.42. Put n, -3, -5 in decreasing order.\nAnswer: n, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146727 is divided by 558?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 337770 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 2. Suppose -f + 9 - 7 = l. Let p be 4*f\/(8\/6). Solve 3*o - 7 = 2*m - p*m, -5*m = o + 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*((r**0*r)\/r)\/r*r)**33)**(-1\/9) assuming r is positive.\nAnswer: r**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-20))\/((180\/15)\/(10\/1))\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*q - 17. Suppose -5*i + 4 = 4*y, -i - 4*y + y + q = 0. Suppose -3*w + i*w - 2*r + 13 = 0, -3*w + 2*r = 7. Solve t + 4 = w for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 5*q + 5*q)*(9 + 12*q**2 - 9) - 3 + 2*q**3 + 3.\nAnswer: 26*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.46 - 0.44. Let s = -1.7 - l. What is the nearest to 0.1 in s, 4, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100212220210111 + -10?\nAnswer: -1100212220210121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31211248 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10140 (base 5) to base 4.\nAnswer: 22132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29829680, -59659363, -89489050, -119318741, -149148436, -178978135, -208807838?\nAnswer: -238637545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rpxr when four letters picked without replacement from {p: 8, s: 4, r: 2, x: 2}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -6*a. Let j be k(-1). Let f be ((-9)\/5)\/(j\/(-20)). Let m(g) = 27*g - 13. Is m(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3*n**4 - 93*n**3 + 1119*n**2 + 7293*n + 6084 = 0.\nAnswer: -39, -4, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**4\/9 + 158*v**3 - 949*v**2\/3 + 1424*v\/9 = 0.\nAnswer: -1424, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -1, 0.1, 5 in ascending order.\nAnswer: -1, 0.1, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + f + 5. Let p(o) = -2*o**2 - 2. Determine -p(q) - 2*w(q).\nAnswer: 4*q**2 - 2*q - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -6. Let j be 4\/1*g\/8. Solve 0 = 4*m - 3*f - 12, -3*m + 6 = -m + j*f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 28 = -2*c, -c = 2*x + 3*c + 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24317 to the power of 1\/2, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19813 in 0.05, -0.5, 2\/7, -1\/3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 607.1 rounded to the nearest 10?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*j = -35 - 7, -5*c + 42 = 2*j. Suppose -4 = 2*w - 2. Let a be (-27)\/(-15) + w\/(-5). Calculate the highest common factor of c and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 - 36. Let i be (-14)\/(-30) + 2\/q. Let o = 3 - 3.4. What is the smallest value in i, 0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 100 + -78. Suppose y*z - 17*z = 500. Is z a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -3. Let f(v) = 9*v + 83. Let i be f(-9). Let t(n) = 3*n**b + i*n + 4 + 2*n**3 - 4*n - 4*n**3 - 5*n**2. What is t(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 15. Let q(z) = 31*z + 0 + 6 - 42*z - z**s. What is the tens digit of q(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7907276, 7907300, 7907370, 7907510, 7907744?\n\"Answer: 4*a**3 - a**2 - a + 7907274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346330135 is divided by 259?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -557*y - 319. What is the units digit of s(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 5*p - 240, 2*p = -6*g + g + 642. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (312*q + 94*q + 382*q)*(-2 - 4 - 1) in the form o*q + h and give o.\nAnswer: -5516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -471 - -345. Sort -4, l, -1.\nAnswer: l, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34408*j - 32542*j - 29856 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 750093249.\nAnswer: 3, 2719, 91957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*b**(3\/4)*b)\/b))**(-3\/23))**29 assuming b is positive.\nAnswer: b**(261\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -106374 and -107404 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 48 = -5*t. Suppose 0 = -0*z + 4*z - t. Suppose 0 = -4*d - 3*x - 1923, 2*d - 1436 = 5*d - z*x. Round d to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133 divided by -227\nAnswer: 133\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1693 - -1708. Solve 31 = x*s + 46 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -11721\nAnswer: 11720.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 c when two letters picked without replacement from {c: 1, t: 2, v: 2, o: 1, m: 1, l: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 92 = -2. Let i be 5\/k*39*-1. Let d = -13 - i. What is d rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4 = -4. Solve 12 = -3*t, -3*k + t = v*t for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13580?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1277 + 1415. Let v be (2\/(-6))\/((-68)\/a). Let f = v - 60\/17. What is the common denominator of f and 18\/11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 129*d - 6 + 12*d - 4*d**4 - 7 + 6 to b*d + y*d**3 + f*d**4 + a + o*d**2 and give b.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1729, 1730, 1731, 1732?\n\"Answer: h + 1728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3132 = 34*c - 40*c + 6978. Is 1683 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**6\/180 + 29*g**5\/45 - 113*g**4\/36 + 56*g**3\/9 + 456*g**2 - 2. Suppose d(i) = 0. What is i?\nAnswer: 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-7) + ((-8560)\/56)\/(-10). Suppose -55 = -z - 5*f, -3*z + 2*f + 2*f = -70. Calculate the highest common factor of z and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4562*g**3\/3 + 1998160*g**2\/3 - 2000966*g\/3 - 1756\/3 = 0 for g.\nAnswer: -439, -2\/2281, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13, 28, 69, 148, 277, 468, 733?\n\"Answer: 2*k**3 + k**2 - 2*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (86\/14 + -7)\/(27\/42). Sort -65, -4, s, 0.5 in descending order.\nAnswer: 0.5, s, -4, -65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -3*j - 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/2)\/(9\/12). Suppose w + t - 7 = 0, 0 = 2*t - 4*t + z. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-47)*t**(-31))**(-2\/9) assuming t is positive.\nAnswer: t**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 15977020809312\nAnswer: 15977020809309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hi when two letters picked without replacement from {i: 4, h: 4, x: 9}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -p + 34. Let n = -25 + 43. Let o = n - 14. Solve -2*w + 3 = -s - o*w, -3*s - w - p = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, m: 1}. What is prob of picking 1 h and 1 m?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b - -104c?\nAnswer: 1068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.043, -6, 1\/5, -10, -1?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213122244 (base 5) to base 12.\nAnswer: 37b205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000163232 rounded to 6 decimal places?\nAnswer: 0.000163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 29875948.5 to the nearest 100000.\nAnswer: 29900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1687105?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1111 = -i - 0*x + x + 1128, 5*i + 0*i - x = 89 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -753 + 841. What is the greatest common factor of l and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -8, -11, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2291\/(-12 + (-3)\/((-96)\/386))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94218 is divided by 672.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 239.494167332 less than 0.21?\nAnswer: -239.284167332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 10*b + 23. Let w be t(-7). Find the first derivative of -10 - 23*l**2 - l**w + 29 + 0*l**2 wrt l.\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(117) + -3)*5)**2.\nAnswer: -4050*sqrt(13) + 28350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3753 greater than or equal to 0.011?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -214 divided by -1?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2 - 18*k**2 + 49*k**2 - 3. Let n be h(1). Let u = n - 27. Solve -3 = u*a - 0*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -87\/19 or -4?\nAnswer: -87\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9071068 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -308\/15 + 64\/3. Factor y*a + 0 - 6\/5*a**4 - 8\/5*a**3 + 2\/5*a**2.\nAnswer: -2*a*(a + 1)**2*(3*a - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 381226 or 381229?\nAnswer: 381229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15990, 31976, 47948, 63900, 79826?\nAnswer: 95720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 9:35 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 0*f + 67 = 2*h, 0 = 2*h - 3*f - 27. What is the greatest common divisor of 21 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**3 - 3*x**3 - 4*x**3)*(2 + x - 2) + 0*x**4 + x**4 + 0*x**4 + (-x + 0*x - x)*(2901*x + 43*x**3 - 2901*x).\nAnswer: -88*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3009213.7 times -1?\nAnswer: -3009213.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -10 + 3*f + 4*f + 0 - 2*f**2 + 7*f. Let t be v(4). Suppose -124 = t*m - 10*m. What is m rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1373*p**5*q + 4*p**2*q**2 + 38*p*q**2 - q**2 wrt p?\nAnswer: -27460*p**3*q + 8*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 1 + 1)*(-1807*g + 2880*g - 1456*g)*(g + 2*g - 2*g) + 3*g**3 - 3*g**3 + 2*g**3.\nAnswer: -764*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 2*y + 1 - 0, 1 = 4*o + 5*y. Is (-1 - -5)\/((-4)\/o)*301 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1470588 or -1470678?\nAnswer: -1470678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/80 and 63\/137425.\nAnswer: 2198800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 22986 = 3*q + 11829, 3*u = 4*q + 46392. Let t = q - -139291\/12. Find the common denominator of t and 63\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 26 = -2*k + 9, -13 = 3*l + k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10)\/(-8))\/(-5))\/((-5)\/(280\/63))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(1\/4) - (209 + -202). What is the closest to 2 in 2\/3, 3, f, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -367*p**3 - 30 + 1118*p**3 - 378*p**3 + p - 378*p**3 + 2*p**4 to q*p + t*p**3 + l + b*p**2 + d*p**4 and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.56491128 rounded to three decimal places?\nAnswer: -0.565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1153523.\nAnswer: 7, 164789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 73, 1, -11, -0.3, 3\/7, 5, -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**4\/6 - 3302*n**3\/3 + 183226*n**2\/3 + 772544*n\/3 + 261920 = 0.\nAnswer: -2, 60, 6548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - 5*(-3)\/(90\/(-12)). Solve j*h - 18 = -6*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 958?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**5\/60 - 7*s**2. Let y = -34 - -58. Let i(k) = 29*k - 8*k + y*k - 11*k. Give i(m(w)).\nAnswer: -34*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/4420 and 109\/849264?\nAnswer: 72187440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12763850 divided by 2018\nAnswer: 6325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -12. Suppose 2*i + 6 = z*i. Let p(d) = d + 3 - 1 - i. Let h(c) = 15*c. What is p(h(r))?\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 7:34 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -g*m*p*w + 114*g*m - 17*g*p*w - 7*g*p + 2*g*w + m*p*w + 809*m + 11*w + 1 wrt m.\nAnswer: -g*p*w + 114*g + p*w + 809","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2701*u**5 + 2*u + 1049.\nAnswer: 54020*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 103 (b) 1\/4 (c) 490 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 - -460?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 445.063587 + -0.332587. Let f = -445 + h. Round f to two decimal places.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 18*k + 1. Give h(-17).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*-1*0\/3. Suppose s = -3*l - 2*l + 35. Let d(c) = 61*c - 9*c**2 + 62*c + 9 - 114*c. Let o(y) = 4*y**2 - 4*y - 4. Calculate l*o(x) + 3*d(x).\nAnswer: x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lykrkflkk. Give prob of sequence yrk.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -210? (a) -43\/5 (b) -2\/27 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -54, -99, -182, -315, -510, -779, -1134?\nAnswer: -1587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -349*j - 126 = -367*j. Solve j = 11*i - 37 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/2023 and -70\/9.\nAnswer: 18207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4822993 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*t - 2*t + 5*t. Suppose 0 = -6*a - t*a + 3*a. Suppose a = r - 5*p - 50, -5*r - 3 = 5*p - 103. Solve -3*i - 10 = -r for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 14 = 3*h, -951 + 959 = -4*k - 3*h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -8 (b) -3\/10 (c) 1 (d) -23\/21130\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -9*t + 3. Let i(b) be the first derivative of -17*b**2\/2 + 5*b - 514. Suppose -7 = -7*n + 14. What is n*i(f) - 5*h(f)?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 217769.58 months in years?\nAnswer: 18147.465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 7:37 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 17*l**3 + l - 1. Let x = 6 + -5. Suppose 3*s - 4 + x = q, 5*q = -5*s + 5. What is the tens digit of a(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - c + 3 + (-1 + 1 + 2)*(-5*c + 4*c + 0*c).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k*k**(9\/2))\/k)\/k**(-3\/4) assuming k is positive.\nAnswer: k**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 12:43 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*o + 17 - 67 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -18*n + 5. Let a be l(-1). Suppose 4*u + 0*u + 1 = h, 2*u = 5*h - a. Suppose 0 = -5*o - 4*t + 150, o - h*o + 5*t = -79. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2031 - 1996. Calculate the lowest common multiple of g and 224.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 16 = -19. Suppose -3*m + 7 - l = 0. Suppose 3*z = m, 0 = -3*y - 4*z - z + 681. What are the prime factors of y?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ab when two letters picked without replacement from lrgrbcag.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -185, -763, -1735, -3101?\nAnswer: -4861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/24*-3*4\/(-1). Put -3\/4, u, -0.03 in decreasing order.\nAnswer: u, -0.03, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1351312*c**2 + 7427*c**3 + 1351312*c**2.\nAnswer: 7427*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 4)*(-9 + 9 - 15 + 2*d) as o*d + y and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k*k**(-5)*k*k)\/k**(-12))**(-16\/5))**(-1\/65) assuming k is positive.\nAnswer: k**(192\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 71210 to the power of 1\/2, to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -3. Suppose h*w = 2*w + 594. What is the greatest common factor of 22 and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16872000 to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -32b (base 15) to base 8\nAnswer: -1314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2152489 - 3664434. Let j be ((-8)\/(-100))\/(8\/f). Let h = j - -15116. Find the common denominator of 61\/10 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 3*l**4\/4 - 3*l**3 - 135*l**2\/2 - 243*l - 80. Factor k(w).\nAnswer: 3*(w - 9)*(w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v - 39. Let h(q) = -6*q - 208. Let f(s) = -11*b(s) + 2*h(s). Let n = 7 - 3. Calculate f(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92.557805115191 - -0.4.\nAnswer: 92.957805115191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20440 - -20442. What is the closest to w in 16, 3\/2, -4, 11?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -40, -6, 88, 272, 576, 1030?\n\"Answer: 5*v**3 - v - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00141196 rounded to five dps?\nAnswer: -0.00141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21251533433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1344*p + 1361*p + 1350*p - 5354*p + 1344*p.\nAnswer: 45*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, 2\/5975, -0.21, -3\/4, 4 in ascending order.\nAnswer: -60, -3\/4, -0.21, 2\/5975, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14492719?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/9 - 32*q\/3 + 352\/9.\nAnswer: 2*(q - 44)*(q - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 514150121 - -2?\nAnswer: 514150123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -95 + 97. Let r = -261 + 380. Let g(l) = 244 - 125 + q*l**2 - r. Let x(o) = -2*o. Give g(x(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 4*v - 4. Let d be s(5). Let p be d\/(-1 - (-3 - -1)). Let a = -4 + p. Sort -2, 2, a.\nAnswer: a, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -4*w, 56*w - 5*h - 8 = 57*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31211350 (base 6) to base 11.\nAnswer: 567a35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3*l - 3*l + 7*l)*(-3*l + 5*l - l) - 4 + 4 + 2*l**2 + 5*l**2 - 4*l**2 + l**2)*(-8 + 9*l + 8) to x*l + u + h*l**3 + y*l**2 and give h.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 131 = -79. Suppose -5*t = -3*t - m. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxcc when four letters picked without replacement from {c: 2, x: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 2*x. Suppose 0 = -5*y - 7 + 37. Suppose -3*i + y = -3. Solve -2*p - 12 = 2*t, 14 = -t - x*t - i*p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/8, -7\/6, -288, -4?\nAnswer: -288","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001402506689 rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/4 - 32799*z\/2.\nAnswer: -3*z*(z + 21866)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 12, 0*d - d = 4*i - 6433. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -213 + 272. Suppose -9*u + 14*u - 305 = 0. Which is smaller: u or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/105)\/(4024\/10060)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -197, -202, -179, -122, -25, 118, 313?\nAnswer: 566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*y + 142*y - 34*y + 16*y.\nAnswer: 255*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 8:27 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57\/114 - 19\/30.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 13*o + 2 + 2.\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -14 (c) 34988\/23 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 20.3. Let h = 1.300025 - o. What is h rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/12*4*(-18)\/(-30).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16103392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6611, 26567, 59879, 106547, 166571, 239951?\nAnswer: 326687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 725*b**4 + 6*b**3 - 84*b - 2451525 wrt b?\nAnswer: 2900*b**3 + 18*b**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -236, -44, 5.\nAnswer: -236, -44, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/100 and -2\/285.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2938 or -2786?\nAnswer: -2786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10510470 and 63162?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/49 or 4?\nAnswer: -9\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b - 1. Suppose 3*w - 3*c - 18 = 0, 7*c = 3*c - 12. Let m(y) = 1. Let g(q) = w*m(q) + 2*s(q). Suppose 4*v = 24 - 4. Determine g(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 7:51 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z**2 - 2*z**2 - z**2 + (3*z - 6*z + z)*(3*z - z - z) + 118*z**2 + 149*z**2 - 186*z**2)*(1 + 0 + 1) to b*z**2 + l + h*z and give b.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 0*p + p + 7, -3*p + 7 = 2*x. Suppose -6 = x*t - 24. Is -3*((-7350)\/t + -3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 7) to base 11.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22213*i*y - 16893*i + y wrt y?\nAnswer: -22213*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dg when two letters picked without replacement from gdllnwnldngddlnngnn?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 21*q - 17*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 + 59a416?\nAnswer: 59a423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2850 a factor of 181855650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-13)\/(-416)*(48\/27)\/4.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*t - 12 = 0. Let g be 12\/16 + ((-21)\/(-4) - 5). Sort t, -4, g, 3.\nAnswer: t, -4, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -64*b**2 - 5*b + 29. Let t be p(0). Solve -4*w = -3*r - 3, 3*w = -87*r + 83*r - t for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381424 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.7 - -9. Suppose -110*s + 273*s = 326. Which is the smallest value? (a) s (b) l (c) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -323 (base 8) in base 14?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l - 27. Let h be v(-13). Let u be 1\/5 + 3\/(-9). Which is the nearest to 4? (a) 4 (b) u (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4417, -4, -1, -3, 3.\nAnswer: -4, -3, -1, 2, 3, 4417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - -9 - (12 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 309879, 309880, 309881, 309882, 309883, 309884?\n\"Answer: f + 309878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1288 - 0.10216. What is k rounded to three dps?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7855872 divided by -1963968?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -731459, -1462939, -2194417, -2925893, -3657367, -4388839?\nAnswer: -5120309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 112041122?\nAnswer: 112041125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51334.17 grams to milligrams.\nAnswer: 51334170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43608 and 345.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/15)\/((-1)\/9). Let s be 16\/24 + 14\/z. Let m(n) = -3*n**2 - 1 + 8*n**2 + n**3 - 2*n**2 + s*n - 2*n. Give m(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-21)\/(-6)*2 + (2 - 5). Determine u, given that -84*u + 609*u**3 - 424*u**5 + 552*u**b + 3 + 21 + 109*u**5 - 198*u**2 - 168*u**4 = 0.\nAnswer: -1, -2\/5, 2\/7, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z - 3. Let j be p(-2). Let y = 32 + -27. Sort j, 0, y in descending order.\nAnswer: y, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201012102 (base 3) in base 14?\nAnswer: -515b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/5)*m**(-1) assuming m is positive.\nAnswer: m**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/2*12\/(-30)*4. Let l be o\/8 + 33\/6. Suppose -s - 5*c + l = -13, -51 = -4*s + 5*c. Calculate the remainder when 46 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 28\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*t = 80, 0 = 7*t - 3*t - 20. Suppose 5*o = -10*o + 2190. What is the remainder when o is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggggggggggt. What is prob of sequence gtgg?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y + 13. Suppose 3*q + 0*q - 5*n = 27, -4*q - 4*n = -4. Suppose 0 = -o + 5*c + 35, -q*o = -5*c - 34 - 31. Calculate z(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*s**2 - 19*s + 19*s)*(2*s - 1 + 1)*(-8*s**2 - 13*s**2 + 3*s**2).\nAnswer: 288*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 16, 16\/39, 1\/5, 3\/4, -1 in decreasing order.\nAnswer: 16, 3\/4, 16\/39, 1\/5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*b - 28, 5*f - 4*b - 5 = -1. Let l be 80\/(-4)*3\/(-6). Calculate the greatest common divisor of f and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2758 = 148*z - 10410 - 7000 for z.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 150 - 132. What is the smallest common multiple of (-9)\/6*2 + 7 + 71 and j?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 is divided by -3 + 3 + (2 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -484*m**2 + 53721*m + 203. Determine h(111).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22024 is divided by 2753?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1280\/15*15525\/10350.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -12 - -34 - (-23 + 32)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2674\/3 (b) -356 (c) 11\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2808745733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 4*a**2 + 12*a - 1. Determine k(5).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2315158802.\nAnswer: 2, 11, 31, 3394661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1163 + 1223. Calculate the remainder when 296 is divided by a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 12816?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01923 - 0.21923. Which is the third biggest value? (a) 1.1 (b) -14 (c) n (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91811 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: Three letters picked without replacement from zfywwsyt. What is prob of picking 1 f, 1 y, and 1 s?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1831499214?\nAnswer: 2, 3, 305249869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*((-39)\/(-26))\/1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -1\/20*d**5 - 1\/8*d**4 + 0*d**2 + 9 - 1\/12*d**3 + 0*d. Factor h(c).\nAnswer: -c**2*(c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -1 - (-6 + 11)) + 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -32*r - 230. Let o(m) = -26*m - 231. What is 5*o(y) - 4*w(y)?\nAnswer: -2*y - 235","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123629 is divided by 1030?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 7*j**2 + 10*j - 4. Let p be h(-3). What is the hundreds digit of 5\/(8\/5696*p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, w: 3, i: 2, b: 5, z: 2}. Give prob of picking 1 w and 1 z.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 161.809 + 0.191. Let w = -161 + s. Let p be 7\/((-21)\/12) - -3. Which is the closest to w? (a) 3\/2 (b) p (c) -1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 168*z + 14*z = -258, 5*z + 125 = -5*h for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -53*v**3\/6 - v**2 - 923*v. Let a(r) = 11*r. Give n(a(p)).\nAnswer: -583*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + (9 - 2) + -2. Solve 3 = -3*c, 2*c - k + 0 = b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*c - 197 - 134 = 0, -5*a = -2*c - 408. Let q = a - 22. Suppose -3*o + q = 2*o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-3 + 3 - y) + 9209*y + 1 + 8828*y - 16805*y.\nAnswer: 1231*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*j + 5*n + 74, 147*j - 150*j + 4*n = -43 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 28. Let k(d) = 2*d + 8. Let q be k(g). Let t(a) = 4*a + 6*a**2 + 6 - 1 + a. Let u(r) = -4*r**2 - 3*r - 3. What is q*u(c) - 5*t(c)?\nAnswer: 2*c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/300 and -83\/50?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35312 or -35321?\nAnswer: -35321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -5.4. Suppose -3*j - 3 + 0 = 2*w, 3*w + 5*j + 5 = 0. Which is the smallest value? (a) 5 (b) w (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 27*w**2 - 2*w + 62. What is the lowest common multiple of 4384 and b(27)?\nAnswer: 4384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + w - w)*(0*w + 0*w + w)*(-2*w + 0*w - w).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + -5 + 2 + (-14 - -71). Solve -f - 23 = 4*j, 53*j - 14 = 3*f + o*j for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6645.\nAnswer: 3, 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 281958862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 16 = 0, -7*h - 19 = -n - 3*h. Suppose l = 5*j - 10, 9 = -j + n*l - 3. Suppose j*u - 68 = 2*f, -u = 5*f - 4*f - 31. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**3 - 23*q**2 + 29*q - 135. Determine a(7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 8*z**2 - 10*z - 17. Suppose 0 = -5*l + 775 - 810. Let j be y(l). Sort -18, j, -5, 0 in ascending order.\nAnswer: -18, -5, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/39)\/((-5)\/(-3)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-632))\/(-19*(-550)\/4180)?\nAnswer: -1\/158","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 373837.\nAnswer: 373837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/(-30) + (2 + 1 - 3). Suppose 5*y - 5*n = 25, 0 = -y + 2*y + 4*n - 5. What is the closest to 1 in j, y, 2\/13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 54 - 142?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 168.1016 millennia to years.\nAnswer: 168101.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-12)*l*l**(-5\/3)\/l*(l*l\/(l*l\/(l*l\/(l*l\/(l\/l**(-3\/5))*l))))**(-38) assuming l is positive.\nAnswer: l**(-547\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)\/(sqrt(35)\/sqrt(5)))\/(sqrt(15)\/(sqrt(5)*2) + sqrt(3) + sqrt(3)).\nAnswer: 2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24648 and 11815477.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 29791314?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -304300\/3 at most -101432?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 7 - 4. Let d = -14 - m. Is -12 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 8*l + 3. Let d be y(-4). Let v = d - -24. What are the prime factors of (v - -4)\/(3\/(-159))?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2814 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**3 + 9*n**2\/2 - 120*n + 537. Factor l(k).\nAnswer: 3*(k - 5)*(k + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 0*g - 7\/12*g**4 + 3*g**3 + 0 + 11*g**2. Find the first derivative of t(d) wrt d.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -c - 3313, 2*c - 8296 = 5*b - 10*b. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 85*q**4 + 3545*q**3\/2 + 24465*q**2\/2 + 54635*q\/2 - 8575\/2 = 0.\nAnswer: -7, 5\/34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 + 4*d - 4*d)*(8423 - 1416 + 1069 - 102 + 13431).\nAnswer: 42810*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**2 + 120940*b - 3012*b**4 - 123007*b - 2364*b**4 wrt b?\nAnswer: -129024*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60247532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*r + 24*r + 8*h = -56676, 2*h = -5*r + 70857. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1213461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/9 in 2\/3, 2\/9, 17, -2\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1543, -2911, -4271, -5623, -6967?\nAnswer: -8303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 670, -3, 0, 6 in increasing order.\nAnswer: -3, 0, 6, 670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + 27. Let s(m) = -m**3 + 6*m**2 - 6*m. What is the units digit of s(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 0*q**4 - 2\/5*q**5 + 2\/21*q**7 + 0*q**2 + 0*q**6 + 2\/3*q**3 - 10*q + 0. What is o in a(o) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.076, 1 in increasing order.\nAnswer: -0.076, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 + 46.5. Let c = 5.5000067 - v. What is c rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 394580*r**3 + 6264*r**2 - 25*r wrt r?\nAnswer: 2367480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 321166764 and -0.3?\nAnswer: -96350029.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12619?\nAnswer: 12619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/(sqrt(11)*-2)*-4 + 3 + sqrt(52) + -3)**2 + -5.\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4 = -2*n, w = 2*n - 0*n + 1. Suppose n*k = 4*m + 4*k + 48, -2*m - 24 = -k. What is the hundreds digit of (-47*1\/(-3))\/(m\/(-108))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.8, 0.08 in increasing order.\nAnswer: -1, -0.8, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*(1 + (-6)\/15). Suppose -u = a - 4*n - 23, -3*a - 8 = 5*n. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 - 139 = -4*b. Let n = -45 + b. Let k be 1 + n + (-3 + 4)*-850002. What is k rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**3 - 756*i**2 - 841*i + 31337. What is b(379)?\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/12)\/(6\/(-16) + 0). Let z be (-8)\/(-28) + 304\/14. Suppose -10 - z = -2*t. Solve -4*q = -m + t, -3*q = -g*m + m + 21 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 times 0.036?\nAnswer: 8.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -x**8\/28 - 927*x**5\/20 - 77*x**4\/12 - 3*x**2 - 26*x - 39. What is the third derivative of m(d) wrt d?\nAnswer: -240*d**3 - 5562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - v - 3. Let z(c) = -4. Let r(t) = -4*x(t) + 3*z(t). Factor r(q).\nAnswer: -4*q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001011011100 - -11000011?\nAnswer: -110001000011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 1 - (0 + -11) - (-70 - -67).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**4\/8 - 11*c**3\/2 - 163*c + 16. Let x(p) be the first derivative of m(p). Let x(t) = 0. What is t?\nAnswer: -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001128076 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*u + 29*u + 276 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 78*f + 85. Is a(44) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.0877, 0.1, 2\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 3:15 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 58691 divided by -5437?\nAnswer: -58691\/5437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/12*-7*(-6)\/210.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 0*w. Let x be (-1)\/((-4*1\/2)\/6). Suppose 39 + w = x*r. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/272633?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of a**7\/42 + 63*a**5\/5 - 1141*a**4\/12 - 3*a**2\/2 - 47*a - 44. Find the third derivative of b(n) wrt n.\nAnswer: 60*n**2 + 1512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 8*a**2 - 5*a + 2. Let n be h(7). Let l(u) = u**3 + 2*u**2 - 20*u. Let r be l(4). What is the highest common divisor of n and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -q + 24. Let y(z) = z**3 + 7*z**2 - 11*z - 22. What is the smallest common multiple of q and y(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**3 - 5*q**2 - 8*q - 15. Suppose -5 = 3*b + u + 6, 2*u + 12 = -4*b. Calculate the lowest common multiple of w(b) and 5.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174991 divided by -1?\nAnswer: -174991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(2\/7)*o*o*o*o*o**(4\/3))**46 assuming o is positive.\nAnswer: o**(6394\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/18)\/(37\/(-1332)). Suppose 0 = -y + 33 + 9. What is the greatest common divisor of o and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 159 and 4463767 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 2) + -6 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -2\/71, -2, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4392\/11*g**2 + 148*g**3 + 0 - 4938\/11*g**4 - 2192\/11*g + 18\/11*g**5 = 0. What is g?\nAnswer: -1, 0, 2\/3, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o**2 + 2*o + 1. Suppose 11 = -4*z + j, 3*z - 4*j = -7*j - 12. Let w(y) = -7*y**2 - 3*y - 1. Let v(k) = z*w(k) - 4*x(k). Calculate v(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/1)\/(-2)*(-1)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -1. Let u(k) = 15*k - 474. Let r be u(31). What is the closest to i in -0.4, r, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1948 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fifty-one eighths of a microsecond?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 139963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -8*l**2. Let p(m) = -4*m - 10. Determine p(s(u)).\nAnswer: 32*u**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.0536, 0, 0.05565?\nAnswer: 0.05565","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15042*s*t**2 + 27*t**2 + 44*t wrt s?\nAnswer: 15042*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 4)\/(3\/3). Let m be d\/(-4) - 27\/(-4). Suppose -m*f = -11*f + 316. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -7335, -43 in ascending order.\nAnswer: -7335, -43, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 196\/5 - 39. Let t be ((-2)\/(-12))\/((-9)\/54*3). What is the closest to t in 13, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**2 + 2. Let q be i(0). Suppose 4*d = -q*d - 18. What is the third smallest value in -0.1, 3, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1123000 and 449200?\nAnswer: 2246000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + (sqrt(1980)*5)\/(sqrt(35)\/(sqrt(7) + (sqrt(7) - (sqrt(7) + sqrt(700) + sqrt(7) + sqrt(7))))))*2.\nAnswer: -660*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**2 - d**2 + d**2 + 4*d**2 - 5*d**2 - d**2 - 2*d**2 + 2*d**2 + 2*d**2 + (-d + 2*d + d)*(-3*d - 2*d + 6*d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -73662 and -111.83.\nAnswer: -73773.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 0*y**2 + 0 - 2*y**2 - 4 - 8*y. Let i be b(-7). Solve -5 = -i*q + c, -2*q + 19 = -q + 4*c for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -22. Let m be ((-2)\/12)\/q + (-105598)\/12. Let y be m*2*-150*(-300)\/45. What is y rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -2. Suppose 0 = 4*h - c - m, -2*h = -5*h + 2*c + 11. Let f be (-8)\/(-20) + 48\/(-70). Which is smaller: h or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 6*l + 63. Let b(i) = -i - 9. Let n(h) = 27*b(h) + 4*t(h). What is the smallest common multiple of 4 and n(-3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 93 - 92.9999136. Round w to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4*(sqrt(204)*-2 - sqrt(204))*-5)\/(sqrt(12) + sqrt(108)*-1 - sqrt(72)\/(sqrt(6)*-2)).\nAnswer: 4 + 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 11:31 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 322599.9 litres in millilitres?\nAnswer: 322599900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 713*c*n*y**3 + 841*c*n*y - 2*c*n - 3*c*y**3 - 148*c - n*y - 1513*y wrt n.\nAnswer: 713*c*y**3 + 841*c*y - 2*c - y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17438065?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 135\/7 - 10\/35 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.06, 0.1, 89?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*l - 28*l - 8. Suppose l*t = 2*t, 4*k - 352 = 3*t. What is the greatest common divisor of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -116 less than -112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(6912)*2 + sqrt(6912) + sqrt(6912) - 2*(-1 + sqrt(9)\/sqrt(3))*-3)**2.\nAnswer: -1584*sqrt(3) + 117628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16637 is divided by 128?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14354 + 4?\nAnswer: 14358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j - 50. Let h be t(-17). Let q(k) = -k. Let l(d) = -4*d - 3. Let a(s) = h*l(s) - 3*q(s). Calculate a(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**4\/6 - 30*c**3 - 59*c**2\/2 + 179*c\/3 = 0. What is c?\nAnswer: -179, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6003270 to the nearest integer?\nAnswer: 2450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 197, 3, -3.\nAnswer: -3, -2, 0, 3, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109861 is divided by 168.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.11 in 93, -225, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-85)\/51)\/((-10)\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -12*a + 1. Let r(k) = -k**2 - 2*k + 3. Let u be r(-3). Suppose -2*b - 3*f + 1 = u, -3*b + 3*f + 0*f - 6 = 0. What is y(b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 - 1) + 19\/22 and -67\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*sqrt(1210))\/sqrt(2).\nAnswer: -3 + 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1806 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -274\/6253 - 20\/169. What is the biggest value in -4, -3, 0.04, x?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*a - 31*a - 43*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-6*(sqrt(26) - 6*sqrt(234))\/sqrt(2) + 0 + sqrt(832) + sqrt(832) + 4 + (sqrt(832) - (sqrt(832) + (-1 + sqrt(832))*-2))**2).\nAnswer: 270*sqrt(13) + 16680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 16.059. Let f = d + 35.941. Let s = -31 + f. Which is the second smallest value? (a) -0.3 (b) 2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55*1.9.\nAnswer: -104.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 36 = -24. What is the second derivative of -8*m**4 + 5 - 5 + 0 + 28*m - 1 - 9*m**v wrt m?\nAnswer: -96*m**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.9982672 to 2 dps.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40\/3? (a) 51 (b) -5 (c) -7 (d) 0 (e) -3\/2 (f) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i\/((i\/i**(1\/2))\/i*i*i*i))\/i)\/i)\/i**(-2\/13))**42 assuming i is positive.\nAnswer: i**(-1281\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31579355?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**7*o*o\/(o**(-5)\/o))\/(o**4\/o**(5\/2)) assuming o is positive.\nAnswer: o**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*g**4 + g**2 - 1 + 3 + 0*g**2 + g**3 - 4*g**2 as t*g**4 + y*g + b*g**3 + a + d*g**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 15. What are the prime factors of d(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, 9, -1, -63\/8, -209, -4 in increasing order.\nAnswer: -209, -63\/8, -4, -1, 1\/9, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -7*c**4\/6 - 74*c. Let s(b) = 20*b**2. Calculate s(y(p)).\nAnswer: 3920*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*-2*6 + -3)**2.\nAnswer: 72*sqrt(3) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 7:34 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 5*k**2 + 7*k - 8. Let m(l) = -2*l**2 - 3*l - 2. Let b be m(-2). Let i = b - -10. Calculate o(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98878568.\nAnswer: 2, 12359821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - -38) + -22 + (0 - -3) - 12?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 445*f - 4 + 62 + 444*f.\nAnswer: 889*f + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 7 - 1 - f**2 + (-1 + 3 - 3)*(f**2 - 2*f**2 + 3*f**2).\nAnswer: -3*f**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1025 = 31*l - 773 for l.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b*(b**31*b)\/b*b)))\/b)\/b*b*b**(-1\/29)\/b*b assuming b is positive.\nAnswer: b**(927\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -7457*k**2 + 21*k + 6681. Let s(r) = 2487*r**2 - 6*r - 2227. Let p(m) = -2*q(m) - 7*s(m). What is the first derivative of p(t) wrt t?\nAnswer: -4990*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/142 and -121\/48.\nAnswer: 3408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/13, 5, 58, -5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 3*m - 8*m)*(-23*m - 385 + 385)*(-m + 3 - 3)*(0*m - m + 0*m).\nAnswer: 207*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*z + 10 = -0*z, z - 11 = -l. Suppose l = -w + 19. Suppose 8 = 3*o - w. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -183 - 277a29?\nAnswer: -278101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 74649 and 1.3.\nAnswer: 74650.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315*a - 303*a - 120 = 0. Solve 9*c - 2 = a*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/27 + 29\/(-9). Let o(a) = -a**3 + 4*a**2 + 7*a - 2. Let u(p) = -p**3 + 5*p**2 + 8*p - 3. Let d(y) = k*u(y) + 4*o(y). Does 17 divide d(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 = -12*k - 68 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*y = -143*y - 25, 0 = 2*b - 4*y - 14 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 918178.\nAnswer: 5\/918178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*u + 3500*u - 146*u + 781*u.\nAnswer: 4169*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 3*q - 21, 4 = -4*q - 8. Suppose -378 = -o*r - r. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -5*c**2 - 9. What are the prime factors of n(-3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (36\/8)\/(-9))*(-8)\/16.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 4*s - 5, 4*k - 5*s - 4 = -41. Let v = -543 + 47240\/87. Let w = -185\/957 - v. Which is the third biggest value? (a) 0.07 (b) w (c) k (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**4\/2 + 43*q**3\/6 + 4*q**2 - 10*q - 1. Let l be a(-8). Let u be (4\/(-350))\/(l\/(-224)) - 0. Is u less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9801*h**4\/5 - 45342*h**3 + 1432993*h**2\/5 - 282128*h + 379456\/5.\nAnswer: (h - 11)**2*(99*h - 56)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -312900 divided by 4.\nAnswer: -78225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 1. Let d(z) = -109*z + 1 + 7 + 104*z. What is d(j) - 3*i(j)?\nAnswer: -2*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 136\/(81872\/2322) - -1*(-6)\/21?\nAnswer: 25\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2485 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1698282864 to the nearest integer?\nAnswer: 1193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 2.2, -27, -3, 1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 4*q + q + 10, 0 = 2*n - 3*q - 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**2 + 25*y + 10. Let o be f(-8). Let r(t) = 7*t + 3*t**o - 9*t**2 + 11 + 5*t**2. Determine r(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2)*1 + -1 + 1 - (sqrt(8)\/sqrt(4)*1 + sqrt(98) + -4)**2)*3.\nAnswer: -432 + 195*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + t. Let f(g) = 6*g**2 - 2*g - 3. Give f(b) + k(b).\nAnswer: 5*b**2 - b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 343*m + 134?\nAnswer: 343","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -1538, -0.5, -0.2, 128\/9?\nAnswer: -1538","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x**2. Let r(t) = 147*t**2. What is r(b(u))?\nAnswer: 1323*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 168\/(-280)*(-1)\/((-6)\/(-8)). Let y be (-40)\/(-18) - 4\/18. Is y at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7*7\/21*(37 - -2). Let m = x - 87. What is the smallest common multiple of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1786524763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3.8, 6, 0.5, 1\/131?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5\/443178 - -905658859\/443178. Let p = j + -2052. What is the common denominator of 67\/435 and p?\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 1:20 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2. Let d(t) be the first derivative of -9*t**2 - 9*t**2 + 19*t**2 + 6 - 3. Give o(d(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yysssjysyhyjy. What is prob of sequence yyjj?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**4\/4 - 5303*h**3\/2 - 11321209*h**2\/4 - 2822349*h + 5655303 = 0.\nAnswer: -9402, -1203, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + p = 5*y - 8, y - 4*p - 20 = 0. Let o(b) = -y*b - b - 3*b + 10*b. Let m(g) = -5*g. What is m(o(w))?\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p - 24*p**2 + 45*p**2 - 2*p. Let v(k) = 2*k - 3530 + 3530. Calculate v(g(j)).\nAnswer: 42*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -184*z**3 + 6*z**2 - 4*z. Let g(h) = 5*h**3 - h**2 + h. Determine -6*g(k) - s(k).\nAnswer: 154*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 99 = 5*g - 139, 0 = 5*g + 4*k - 80. Let r(n) = 2*n**2 - 18*n - 21. Give r(g).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*w = -42, w + 8 - 3 = 0. Suppose -3*j - 66 = -q, -43 = -q - 5*j - c. Suppose -2*h + 0*h + q = 0. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 l when three letters picked without replacement from {c: 1, l: 3, r: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**2\/3 + 212*y - 1264\/3 = 0. What is y?\nAnswer: 2, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2\/37)*o**(-8)*(((o**0\/o)\/o)\/o)**(-2\/99))**(9\/2) assuming o is positive.\nAnswer: o**(-25617\/814)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6659 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000704 to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1398630047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-7)\/(14\/12))\/(-1). Let w be ((-6)\/(-9))\/(38\/r). Which is the nearest to -0.1? (a) w (b) 0.5 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 12:58 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*r = -83 + 23 - 109 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -12*r**2 - 11*r + 66. Let s(p) = 5*p**2 + 4*p - 24. Let g(q) = 11*s(q) + 4*x(q). Let a(w) = -2 + 2 + 3*w**2. Give a(g(d)).\nAnswer: 147*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1363*h**4 - h**3 + 535*h?\nAnswer: -16356*h**2 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 o when three letters picked without replacement from {f: 1, e: 1, o: 4, v: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z. Let c(p) = 7*p + 11. Let u be (15\/10)\/(1\/4). Let h = -29 - -18. Let m(a) = 4*a + 6. Let s(b) = h*m(b) + u*c(b). Give o(s(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408926353?\nAnswer: 11, 37175123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 766963?\nAnswer: 29, 53, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**6\/120 - 7*y**5\/60 - y**3\/2 + y**2. Suppose 133*h - 880 = 137*h. Let m = h + 227. Calculate a(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 160? (a) -22 (b) -1 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 892020 equal to 892020?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5.498, -4, 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 185 = -5*y, 2*y + 3*t + 0*t = 89. Calculate the highest common factor of y and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31.2321574 + -20.7678463. Let k = 1.19 + -53.19. Let z = w - k. Round z to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3566 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: What is the value of (18\/(-7))\/(((-284)\/2485)\/((-28)\/(-21)))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -147, -185, -223, -261?\n\"Answer: -38*r - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 176416040+-3\nAnswer: 176416037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-1770)*(-42)\/42\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111101010000111 (base 2) to base 7.\nAnswer: 160310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -148267425 divided by -2895?\nAnswer: 51215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l\/(l*(l*l**1)\/l))\/l*l))**22*((l**22\/l)\/l*l*l)\/l**(-7))**(2\/57) assuming l is positive.\nAnswer: l**(146\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**4 + 4262*t**3 - 107752*t**2 + 103488*t = 0 for t.\nAnswer: -2156, 0, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2493963 and 3.\nAnswer: 2493963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 517 divided by 1575.\nAnswer: 517\/1575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 574140 - 573798.533. What is y rounded to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -212, -427, -644, -863, -1084, -1307, -1532?\n\"Answer: -f**2 - 212*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-1\/2)*j*j*j)**(1\/2)*(j\/(j\/j**(-1)))\/j**(-6)*(j*j**(-1))**33*(j**(1\/4))**(-44) assuming j is positive.\nAnswer: j**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 1:44 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 23.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -9*l**3 - 4*l**2 - 44. Let f(z) = -22*z**3 - 8*z**2 + z - 90. Let p(w) = -2*f(w) + 5*k(w). Determine p(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-12)*1*-9 - 3. Solve -o + 6*o - 15 = a for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -37.92, -0.6, 0?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (5 - (7 + (8 - 11))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 13*j - 2)*(0 + 3 - 4) - j - 2*j + 5*j in the form m + s*j and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/((-40)\/(-15))*212\/(-18)*(-68)\/(-136)?\nAnswer: 53\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.92 + 1.18. Let b = z - 15.1. Let x = b - -9.999973. Round x to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42802620241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -301 (base 6) to base 14\nAnswer: -7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (111\/(-21))\/1 + 5.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-32)\/(-8)*(0 - (-310)\/4)?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3823 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6, 5, 6, 9, 14, 21?\n\"Answer: o**2 - 4*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 2*q**2 - 1\/120*q**5 + 0*q + 1\/4*q**4 + 7\/6*q**3 + 0. Let h(t) be the first derivative of s(t). Give h(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -5.2, 5, -0.04, -1\/2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**2 - 6008*z + 1430*z - 2*z**2 + 4578*z.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98991, -98995, -98997, -98997?\nAnswer: -98995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2.41*-2.4\nAnswer: -5.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 4:52 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -349380.1 to the nearest one hundred.\nAnswer: -349400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31500 - 30830. What is the greatest common factor of s and 12462?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**3\/9 + 787276*v**2\/9 + 22044904*v\/9 + 51439024\/3 = 0.\nAnswer: -14, 393666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 + 7215806 - 14431611 + 7215805.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*g**2 - 42620*g**3 - 59*g**2 + 31*g**2.\nAnswer: -42620*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*c**3 + 3*c**3 - 10*c**2 - 7*c**3 wrt c?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 60*v + 13 = 63*v, 7 = -3*m + v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 50240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (65\/13)\/(1 + -2). Let z(o) = o**2 + 6*o - 1. Let d be z(k). What is the units digit of (-550)\/d + (-8)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 4 + m + m + m + 0*m - 2*m - 2*m - 2*m + 6*m - m - m + 0*m + (2*m - 3*m + 2*m)*(-3 + 2 - 1) + 3*m - 4*m - m in the form v + g*m and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 45*o - 4576 = 0. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3)\/n)\/(n*n\/(n**(-10)\/n)))\/(n**38\/(n\/n**(-1\/5))) assuming n is positive.\nAnswer: n**(-269\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 157485 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6189 + 6189.3411. Let j = b - 0.33. Round j to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 110 - -22. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -15. Let s = 0.999 - 0.059. Let w = s - -0.06. Sort 3\/4, w, i.\nAnswer: i, 3\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*sqrt(13) + 1*2*sqrt(13) + (-1*sqrt(78)*3)\/(-4*-2*sqrt(6)).\nAnswer: -3*sqrt(13)\/8 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**3 - 15*j**2 - 8*j - 4. Let n be d(-7). Let r be 21 + n + (-6*1)\/3. Suppose 16 = -4*h + 44. Solve 3*i = -2*s - 0*s - r, -3*i + s = h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1590.39875 and 2.\nAnswer: -3180.7975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -55*m - 63. List the prime factors of l(-10).\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 723741 and 1688729.\nAnswer: 5066187","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*p**2*s**2*t**2*u**2 + 6*p**2*s**2*t**2*u - 2*p**2*s**2*t**2 - 4*p**2*s*t**2 - 2*p**2*t*u**2 + p**2*t*u + 2*p*s*t**2*u wrt u.\nAnswer: 24*p**2*s**2*t**2 - 4*p**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 48\/313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 105*s + 16. Is h(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -10*k**7\/7 + 3*k**5\/5 + 53*k**3\/3 - 37. Find the third derivative of m(w) wrt w.\nAnswer: -1200*w**3 + 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1553093606 to the nearest integer?\nAnswer: 1158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*y**5 + 0 + (2 - 5 + 1)*(5*y**4 + y**5 - 5*y**4 + (0*y**3 + y**3 - 3*y**3)*(-4*y + 4*y + 2*y**2)).\nAnswer: 8*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 1013?\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kky when three letters picked without replacement from {k: 4, y: 9, r: 1}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 322 a factor of 1762833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 7 = 4*q. Let k be 33\/2 - q\/6. Let u = k + -9. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -755?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 29159908 to the power of 1\/3, to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72361867 to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 58*y + 67. Let d be g(1). Suppose 2*z - d = 5*i + 174, -4*z = 5*i - 613. What is the greatest common factor of 16 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 3) + (10 - (-5 - -12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-1) - ((4 - 9) + 7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1747810 and 190.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*i - 40*i + 90*i.\nAnswer: 29*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*j*p**2 - 90491*j*p + 23*j + 13661*p**2 + 6844 wrt j.\nAnswer: -11*p**2 - 90491*p + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w - 45*w - 290 - 386 = 0 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3087) + -2*sqrt(3087) - sqrt(3087))\/sqrt(9))**2 - (-2 + 1 + sqrt(847) + sqrt(847) - sqrt(847))**2.\nAnswer: 22*sqrt(7) + 524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 90001 and -0.2.\nAnswer: -18000.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four ninths of a hour?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*r - 161*r + 0 - 1.\nAnswer: -293*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/48348 and 49\/36.\nAnswer: 48348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-3)\/l)\/l*l)\/((l\/(l**(-2\/19)\/l)*l)\/l)*l\/l**(-1\/3)*l*l**(-3))\/((l**0\/l**2)\/(l\/(l**(1\/4)\/l)*l*l\/l**1)) assuming l is positive.\nAnswer: l**(-233\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*sqrt(832)*-2 - sqrt(832))**2 + 5.\nAnswer: 7491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 576846138 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (713 - 684) + (-17 - 0) - ((8 - 9) + 10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -2*b + 102, -2 = -r + 3*b + 15. Let t = r + -12. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 67*v**3 - v**2 + v. Suppose -4*x + 2 = -2. Let i be q(x). Is i*(1 + -2 - -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 38, 149, 368, 731?\nAnswer: 1274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*u**4 + 3 - 3*u + u**3 + 3*u**4 + 4*u - 11*u**4 - u**4 as o*u + l*u**2 + b*u**4 + n + k*u**3 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 744538 divided by -744538\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(28)\/sqrt(4))**2 - -3*sqrt(7)*-1.\nAnswer: -3*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/((sqrt(500)*-2 - sqrt(500)) + sqrt(5)).\nAnswer: -sqrt(7)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/22*(-11)\/33?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -43826 + 4a44?\nAnswer: -3bab2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86784 is divided by 155?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1639321, -1639311, -1639301, -1639297, -1639305, -1639331, -1639381, -1639461?\nAnswer: -1639577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -132742 divided by -11?\nAnswer: 132742\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 164\/47 - 5817\/1034. Let r = -153283\/14 + 10955. Find the common denominator of i and r.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -a - 0*a - 5, 2*l - 2 = 0. Let i(k) = -k + 8. What is the units digit of i(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 225359114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 19*x - 13. Let c be 78\/10 - (-11 - 531\/(-45)). Let q(u) = 6*u - 4. What is c*q(t) - 2*g(t)?\nAnswer: 4*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/30)\/(10\/(-25))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l + 1 = 61 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -3. Let v = 15 - l. Let j(t) = -t**2 - 44*t + 7. What is the remainder when v is divided by j(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-7 + 3 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-4\/7)*l**(-5)*(l**(2\/9))**(-25) assuming l is positive.\nAnswer: l**(-701\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -683799.57 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1142231, -2284462, -3426693, -4568924?\n\"Answer: -1142231*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1377 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.030295 litres to millilitres.\nAnswer: 7030.295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*p**5*t + 246*p**4*t + p**2 + 4*p*t + 97*p + t wrt p?\nAnswer: -120*p**3*t + 2952*p**2*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 278256\/398970 + ((-5)\/15)\/((-1)\/(-2))?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.6 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z - 261 + 268 - 14*z + 7*z.\nAnswer: z + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 24 - 19)*(5*m**2 - 6*m**2 - m**2)*(-2 + 3 + 1).\nAnswer: -88*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*n + 22*n - 189. Let u = n + 95. Calculate the remainder when u is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 5*x + 4. Let r = -24 + 26. Suppose -3*d + d - 2*i + 4 = 0, 4*d - 16 = -r*i. Let n be y(d). Solve 0 = q + q + n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2843, 1\/3, -1, -2\/15, -5, -1\/11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2054 less than or equal to -2055?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 p when three letters picked without replacement from {u: 2, o: 1, p: 1, m: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*g + 6 = 0, 4 = -3*c + 18*g - 16*g. Solve c = 4*d - 6*d - 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 880955261.\nAnswer: 97, 93629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 15*z**2 + 15*z + 3. Calculate f(-14).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 25*x - 116. Let z(w) = 5*w + 121. Let m be z(-25). Determine k(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88550 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 655548 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 20111 (base 4) to base 11\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 164*c - 817. Let z be w(5). Let k(n) be the first derivative of -2*n**2 + 4*n - 1. What is k(z)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7054556.\nAnswer: 2, 1763639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9999396 divided by 3\nAnswer: 3333132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -301278*q**5 - 6*q**4 + 15879168*q wrt q.\nAnswer: -6025560*q**3 - 72*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - 1. Let y(h) = -3*h - 8. Let o be y(q). Solve -o*z + 12 = -z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11501*k**3*s**2 + 426994*k**3 + 23*k*s**2 with respect to s.\nAnswer: 23002*k**3*s + 46*k*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -1 + b + 7 + 8. Let t be g(0). Suppose -5*q + t - 4 = 0. Calculate the smallest common multiple of q and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 2*n - 33. Let a = n + -7. Suppose -g + 8 = 2*v, -a*g - 1 = 2*v - 21. Solve -5*p - 6 = -2*u, -u = u + v*p + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59 - -75.1. Let o = j - 4.1. Let v = o - 11. What is the third smallest value in 1\/9, 0.05, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 3*w + 29, 24 - 5 = -5*w - p for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 952636, 952646, 952656, 952666, 952676, 952686?\nAnswer: 952696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -7703400*a**2 + 1349*a + 7703400*a**2 + 2*a**3 in the form b*a + o + h*a**2 + f*a**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 32000900 to the nearest 1000000.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/15 of a week?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291 - 8*k + 12*k - 516.\nAnswer: 4*k - 807","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1\/10)\/a)**40\/(a\/(a**(-3\/17)*a))**(6\/13) assuming a is positive.\nAnswer: a**(-902\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3)*(x**4\/x)\/x*x)**14 assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 5*c + b + b, -2*c + b + 8 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3671664, -7343326, -11014988?\nAnswer: -14686650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/9)\/2*156\/(-130)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 507093.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 4*c**2 + 3*c + 1. Let m be j(3). Suppose 6 = -w + 2*k - m, -4*k + 17 = -w. Suppose -5*r = -8*r + w. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -36. Does 20 divide w\/24 + 434\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h**2 + 4*h**2 + 3 - 6*h - 6. Let q be j(7). Suppose y = 4*r + q - 28, y - 39 = -5*r. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 - -112. Suppose -q = 2*n - 8. Let s be (-1 + 0)\/(2\/n). Solve 4*d - s - 15 = 5*y, -4*y = -3*d + 21 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6204 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -33?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 z when four letters picked without replacement from kzzggkgkbkkkzgzkzg?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4626 - -0.241. What is y rounded to 3 dps?\nAnswer: -0.222","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94240, 188480, 282722, 376966, 471212?\nAnswer: 565460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000236260034 to seven decimal places.\nAnswer: 0.0000236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**5\/13 + 38*z**4\/13 + 116*z**3\/13 - 596*z**2\/13 + 682*z\/13 - 242\/13 = 0. Calculate z.\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740778021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 9:44 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**2 + 8*f - 19. Let c be y(7). Suppose v - 75 - c = 0. Let i = v - 142. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.52 * -450201\nAnswer: 1134506.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14\/9 - 65\/36. Let q = 0.06 - -4.94. Which is the third smallest value? (a) q (b) 2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 6*o**2 - 9*o + 31. Determine z(-8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12781 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -96 by 14.\nAnswer: -48\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 94105985 a multiple of 681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440*c - 3069 - 3448 = 83 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/501 less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 94 and -82.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2643626 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 a factor of 305257590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1935*j**5*q - 4818*j**4*q - 2*j**2 + 3*j*q - 2*j - 291437*q wrt j?\nAnswer: 116100*j**2*q - 115632*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32.753 + 35.03. Let j = 0.023 + t. Let o = -18.4 - j. Round o to zero dps.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -134140445 + 5?\nAnswer: -134140440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -5772000 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*y - 2*h, -4*y + 3*y + 13 = 2*h. Solve 3*c + 3*s = -c, 24 = 4*c - y*s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -646*b + 129. What is the hundreds digit of k(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -3*n - 3*s, 35 = -5*n + 4*s + 51 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b - 1. Let l be 8\/(-28) - 400\/(-28). Let n be 3 + 9 + -3 + 0. Let w(a) = 4*a + 3 - n + 9. What is l*s(r) + 4*w(r)?\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/37398 and -57\/124660.\nAnswer: 373980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 + 11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/15))**(2\/25) assuming y is positive.\nAnswer: y**(4\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*u + 85 = 7*u - 107 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czc when three letters picked without replacement from cccczccccccc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -137*p + 85*p + 361*p + 0*p + 191*p to c*p + w and give c.\nAnswer: 500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -199, -806, -1825, -3268, -5147?\nAnswer: -7474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 5*j + 730, -14*t + j - 438 = -11*t. Is -153 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.99 - -0.01. Let l = 89 + -88. Let t be ((-3)\/9)\/(12\/(-9)). What is the closest to t in l, 3\/2, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -1, -4\/13, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (20 - 98)*2*(-1)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -0.28.\nAnswer: -0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 172822355?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105 - 292*n + 36 + 34 + 35.\nAnswer: -292*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 7*a**2 + 6*a - 9. Let d be j(-8). Let y = 0 - 0. Let o = y + d. Does 3 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -11, -4, 11 in ascending order.\nAnswer: -11, -4, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24462 is divided by 188?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y**3 + y - y)*(5*y + 4*y - 3*y) + 2*y**2 - 2*y**2 + 15*y**4 as o*y**3 + q*y**4 + s*y + d + k*y**2 and give q.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 38*c**2 + 101*c. Let u(h) = -7*h**2. What is m(u(k))?\nAnswer: 1862*k**4 - 707*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13677 + -13678. Sort -2, 2\/9, f, 3.1, -1\/4 in decreasing order.\nAnswer: 3.1, 2\/9, -1\/4, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 614664 to the nearest integer?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 49985731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9784 is divided by 4875?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a day in minutes?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 221, 376, 449, 428, 301, 56, -319?\nAnswer: -836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1022 = 15*j - 1067. Solve 2*z = 4*c - 8, z - 2 + j = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3521476.\nAnswer: 2, 7, 31, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -127\/65 - -15\/13. Let x = 0.9 + -1.14. Let j = x - 0.06. Sort -4, j, q in decreasing order.\nAnswer: j, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-924507)\/582*(-4)\/1?\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 11*k - 23. Let c(d) = -2*d**2 - 22*d + 46. Let z(r) = 6*c(r) + 13*j(r). Is z(-17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 585\/26*1340\/50 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-2 - (-3 + (-5 - -11)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - -1)\/(1 - 0). Let k(x) = x**3 + 0*x**2 + 6*x**2 + x - 8*x**2. Is 17 a factor of k(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, p: 4, f: 1, o: 4, g: 1, s: 1}. What is prob of sequence sqpf?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**2 + 23*q**2 + 6*q**2 + 22*q**2.\nAnswer: 57*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = -6*j + 570. Calculate the remainder when 104 is divided by j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47708 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 218 (b) -0.3 (c) 3\/268\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -92 times 0.1\nAnswer: -9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -338? (a) -1\/6 (b) -4\/23 (c) -4 (d) -6\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c - 5*c - 15 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 5*n**2 - n - 44. Let x be u(-6). What is the fourth smallest value in -4, -2\/7, x, -16?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q + 4. Let b be t(2). Let p be (-6)\/((-1)\/(-9)*b). Solve 2*r + 5*s - 35 = -3*r, -5*r - s + p = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -330 + 311. Is -18 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 5\/2, -3 in decreasing order.\nAnswer: 5\/2, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l**4\/9 + 694*l**3\/9 + 1708*l**2\/3 - 12374*l\/9 + 6545\/9 = 0 for l.\nAnswer: -595\/11, -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwcbeww. What is prob of sequence eeb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**5\/20 - 5*u**4\/4 + 26*u**3\/3 - 5*u**2 + 10*u. Is l(-19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - 2*z + 14, -l = -3407*z + 3402*z - 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 19*p - 15*p - 15, -4*p = 0. Suppose 350 = k*s - 4*a, 109 + 31 = 2*s - 5*a. What is the highest common divisor of 126 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 w when two letters picked without replacement from {m: 4, w: 6, b: 2, y: 3}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*n - 21 + 21 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.4 (b) -108 (c) 3 (d) -4 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 366236545 to the nearest integer?\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z + 41. Let r(y) = -7*y - 82. Give -3*r(o) - 5*u(o).\nAnswer: o + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12074*r**3 - 26*r**2 - 225*r + 4 wrt r.\nAnswer: -72444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*h - 5*h - 51*h - 21*h - 37*h to k + z*h and give z.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 2*x**2 - 5*x - 8. Let k be l(4). Let v be (-9)\/((-9)\/k) - (2 - 8). Let f be -1*(2 - 0)*-1. Solve n = -2*h - 2*n + v, f*h - 10 = -2*n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 38*s + 2. Is 5 a factor of u(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 u, and 1 c when three letters picked without replacement from {r: 2, c: 5, u: 4}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 6601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-10)*(-89 - (-141 - -12))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -152448*v**2 - 110386.\nAnswer: -304896*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 7*i. Let u(n) = n**2 - 6*n. Let r(z) = -5*d(z) + 6*u(z). Let w = -34 + 33. Let h(j) = -5*j**2 + 5*j + 1. What is w*h(p) - 4*r(p)?\nAnswer: p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 - -2771347?\nAnswer: 2771330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.115730168 from -2.17.\nAnswer: -2.054269832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.2 in 5, -9, 10\/3, 0.3, 4\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(3 + -7 + 5)*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*k*o**3 + 1348*k*o**2 - 913*k*o + 14119*k + o**3 - 4*o**2 wrt o.\nAnswer: 30*k*o + 2696*k + 6*o - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-12)\/(-102) + 108\/51.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k + 4 - 4)*((7 + 4 + 5)*(-4 + 9 - 3) - 2 - 2 + 2) as g*k + v and give g.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99671 is divided by 1217?\nAnswer: 1094","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.147? (a) -2 (b) -4\/9 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8788000\/7 - 1\/7*d**4 - 7020*d**2 + 386\/7*d**3 + 1994200\/7*d = 0.\nAnswer: -4, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 227360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -4 (c) 3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -24, -44, -88, -162, -272?\n\"Answer: -o**3 - 6*o**2 + 5*o - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 19.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2135, 1, 2, -2088 in ascending order.\nAnswer: -2135, -2088, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*m + 100 = 0, 0 = 3*j - 84*m + 88*m - 75. Solve 0 = 16*q - j*q - 45 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -582 - -585. Suppose -x - 32 = -o*l - 22, 4*l = x + 14. Put -2, -1, l, -4 in decreasing order.\nAnswer: l, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 4*f = 28. Let q = f - -12. Let c(z) = -z**2 - 2*z + 3. Let r(j) = -3*j**2 - 5*j + 6. Give q*c(t) - 2*r(t).\nAnswer: t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n + 4*n + 0*n + 2 + 0 + n + 0 + (117 - 139 + 81)*(-3*n + n + 0*n).\nAnswer: -116*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -5, 9, 0.56 in ascending order.\nAnswer: -5, 0.56, 9, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -651*p**3 - p**2 + 121*p + 120. What is i(-1)?\nAnswer: 649","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/2 - 1\/(-2). Suppose -c*z = -2*a + 32, 2*z = 2*a + 2*a - 40. Let m be (-1)\/(-4) - 105\/(-12). Does m = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 130. Let h(k) = 3*k - 263. Determine 7*a(v) + 3*h(v).\nAnswer: 2*v + 121","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 368 and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = u - 2*t - 24, -2*u - t = -20. Let k be (u\/9)\/2 - (-288)\/(-270). Which is the nearest to k? (a) -0.5 (b) 0.2 (c) -2.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 95*g - 106. Put 4, -3, 13, -46, g in increasing order.\nAnswer: -46, -3, g, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61852980 divided by 70770\nAnswer: -874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-5))\/((28\/(-336))\/(500\/120))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 9) to base 12\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z + 20*z - 148 = 0. Let d be ((-1)\/2)\/((-1)\/z). Suppose 0 = 5*r + 17 - d. Calculate the remainder when 12 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18309488 to the power of 1\/2, to the nearest integer?\nAnswer: 4279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhx when three letters picked without replacement from {o: 2, j: 2, x: 7, h: 2, c: 2}?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 204625528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 682*k**3 - 29*k**2 - 177*k + 9.\nAnswer: 4092*k - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*d - 5, 0 = -2*w + 3*w - d - 4. Suppose -a + w*a = 130. Calculate the greatest common factor of 26 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q - 21. Let l(r) = -2*r - 22. Let s(d) = -5*l(d) + 6*y(d). Let m(g) = -g + 5. Let j(w) = 16*m(w) + 5*s(w). Let h(x) = -11*x**2. Determine h(j(o)).\nAnswer: -176*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydy when three letters picked without replacement from dyssynyynsynsynnyn?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 455296840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*40285223.\nAnswer: -16114089.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**2 + 7*r + 2. Let p be f(-3). Suppose 4*q - p = 0, 0 = -k - 3*k - 5*q + 266. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10694689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -13\/6*d**3 + 0 + 0*d**2 + 52*d. Let z(w) = -4*w**2. What is z(g(t))?\nAnswer: -676*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 33\/(-4) + 6\/(-8). Let p be ((-12)\/(-10))\/(z\/(-30)). What is the units digit of ((-4)\/(-10))\/(p\/80)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 107*s**2 + 2*s + 17?\nAnswer: 214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 264756 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 6992920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*-0.006.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + 1 + 1*sqrt(2) + -3).\nAnswer: -4 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 3*c - 4, -4*c = -i + 35. Suppose -4*g = 12, 4*d - g = 3*g + 28. Suppose d*n - 143 = -39. What is the greatest common factor of n and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 621*m**3 + 614*m**3 - 1855*m**3 + 628*m**3.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*w - 32*w + d - 13, -3*w + 10*d - 49 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 365\/(-15)*(-6 + 3). Let w = 57 - 81. Let j = w + b. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 527\/5 - 106. Let l = 1\/65 - -5\/13. Is u != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((1*sqrt(76) + -3 - sqrt(76))*2 - (-2 + sqrt(76)*2 - sqrt(76))*1))**2.\nAnswer: -4*sqrt(19) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/294 - -76\/735. Which is the closest to 2? (a) -112 (b) 2 (c) u (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2058 = 620*l + 581*l - 1054*l for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Let v(s) = s**3 + s + 1. Let d(n) = 22*n**3 - 11*n - 4. Let w(x) = -d(x) - 4*v(x). What is the second derivative of w(a) wrt a?\nAnswer: -156*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4\/7 (b) 0.5 (c) -0.1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 208927 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 231 and 70805?\nAnswer: 2336565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*j - 0*j. Let o(r) = -15*r - 34. Let q be o(-7). Suppose -91 + q = -4*f. Sort j, -2, f in decreasing order.\nAnswer: f, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(5\/3)*j**(-3\/10))**1 assuming j is positive.\nAnswer: j**(41\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c - 47 - 31. Let j(b) = -b**3 - 13*b**2 - 3*b - 9. Let k be j(c). Calculate the highest common factor of 30 and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102102970?\nAnswer: 2, 5, 71, 143807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**4 - c**3 - c**2 + 31. Let d(x) = 9*x**4 - 93*x**3 + 114*x**2 + 204*x - 186. Let w(a) = 6*b(a) + d(a). Suppose w(i) = 0. Calculate i.\nAnswer: -34, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (3 - 11 - -4 - -10) - -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2ba7b6 + -5?\nAnswer: -2ba7bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5003d3 (base 15) in base 10?\nAnswer: 3797748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(147\/(-56))\/(-7)*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 - 28. Let x = 12 + -14. What is the third smallest value in x, 0.2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 6) to base 14.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14976 divided by -1152.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m - 5*m + m)*(-3 - 4 + 2)*(58 - 3*m**2 - 34 + 6*m - 32) in the form q*m**3 + r*m**2 + w + o*m and give q.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hcq when three letters picked without replacement from lhhchlxxclhcqhlhclhl?\nAnswer: 7\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*x - 496830 = 0, 3*h + 348*x = 344*x + 496830. What is h rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-7) + (-294098)\/(-3773). Which is smaller: g or 80?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40315958 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51.1 - -51.6. Suppose 0 = 4*c - 3*c + 3. What is the nearest to c in 1\/3, y, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5392 is divided by 1343?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3466714010*u - 15*u**2 + 16*u**2 + 2 - 2 - 3466714010*u.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(sqrt(32)\/sqrt(8))*-5)**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 - 1)*(-4 + 4 + 3)*(1 - 2 + 3)*(5*c - c - 2*c).\nAnswer: -60*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.49279 rounded to one dp?\nAnswer: -45.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -n**8\/14 + n**4 + 7*n. Find the third derivative of x(y) wrt y.\nAnswer: -480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-7) + 1199\/(-497) + 2. Let c = 2582\/355 - f. Find the common denominator of -101\/2 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 35669 and 35670 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 289065 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*w - 20 = 64 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -1 (c) 8 (d) -22 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 0.2. Let u = -0.3 + f. Let v = -2.3 - u. Which is the closest to -1? (a) -5 (b) 0.2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 17*n - 178, 31*i - 515 = 5*n - 503 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/9)\/(23\/345*-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 85 + 72 - 157 - 236*o + (-3 - 2 + 0)*(1 - 1 - o).\nAnswer: -231*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -9353422?\nAnswer: 3\/9353422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 146116880*u**4 + 2*u**3 - 64584127*u?\nAnswer: 1753402560*u**2 + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 216*h**3*v**4 + 45373*h**3 - 26*h - 16510*v**4 wrt v?\nAnswer: 864*h**3*v**3 - 66040*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**2 - 82*c - 549. Let d be x(-12). Suppose 6 = 2*u - 2. Suppose u*p - 5*y + 10*y = 872, 1090 = 5*p + d*y. List the prime factors of p.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -121*h + 119*h + 10. Solve -3*x = h + 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -v**4\/4 + 2*v + 4. Let k be s(0). Are k and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 56*a + 27*a**2 - 2*a**2 - 57*a + 0 in the form q*a + l*a**2 + j and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -130645172 to the nearest 100000.\nAnswer: -130600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b - 9. Suppose -c = 2 - 7. Let i(j) = -2*j + 4. Let h(y) = c*i(y) + 3*t(y). Let g be (6\/5)\/(3\/(-10)). Give h(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1696*f = 1699*f - 591. Solve -f + 62 = -27*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 - 724\/11. Let o be (4\/(-12))\/(5\/(-2)). Which is smaller: p or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -14\/6073?\nAnswer: -14\/6073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1662)\/(-15) + 1\/5. Suppose n + 46 = m. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 2ec93?\nAnswer: 2ec96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-14) - (-15)\/(-28)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 9:15 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -3*h - 9741, 5781 = 3*t - 5*h - 3958. Is 116 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**3 - 22*f**2 - 13*f - 7. Let l(h) = 3*h**3 - 21*h**2 - 13*h - 6. Let j(g) = 4*l(g) - 5*r(g). Does 9 divide j(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 - 5 = -27*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 579 is divided by 33?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppwwppwppppppppppp. Give prob of picking 2 w.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122580 rounded to the nearest one thousand?\nAnswer: 2123000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 184 divided by 8\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (-4 + 3 - -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y + 3 = -5*k + 14*y, -4*k = y + 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/6*-1)\/((-8)\/(-66)). Let f = -4 + y. Let 3\/4*j**4 + 0*j + 0 + 3\/4*j**2 - f*j**3 = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.29 + -4.29. Let r(x) = x - 5. Let m be r(6). Which is the closest to -2? (a) 0.3 (b) p (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002081 to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -x**6\/360 + 4*x**3\/3 + 3. Let d(g) be the third derivative of m(g). Let v(n) = -3*n**2 - n. Calculate 2*d(z) - v(z).\nAnswer: z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 + 1011*w**3 - 95*w**2 - 919*w**3 - 3 + 7*w**2 - 4*w**4.\nAnswer: -4*w**2*(w - 22)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**5\/20 + 385*n**4\/6 + 9*n**3\/2 + 2*n**2 + 2916*n. Find the second derivative of z(r) wrt r.\nAnswer: 6*r + 1540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 12) to base 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i + 1064 = 1055 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000027795 rounded to 7 decimal places?\nAnswer: -0.0000278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10003213244 + -13?\nAnswer: 10003213231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1\/2, -2\/25, -1\/752, -3 in descending order.\nAnswer: 1\/2, 0.1, -1\/752, -2\/25, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/4 + (-3)\/6. What is the remainder when 27 is divided by p\/5 + (-144)\/(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 12. Suppose -u*p + 4*p - 2 = 0. What is the smallest common multiple of 6 and 3\/((-3)\/6 - p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3194*t - 96975 = -593*t - 293899 for t.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1120353*m**2 - 1594587*m**2 + 485655*m**2 + 10*m**3.\nAnswer: 10*m**3 - 2229285*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2471 + 7593. List the prime factors of b.\nAnswer: 2, 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a - 4*a - a)*(5 + 0 - 3 + 97*a)*(4 - 1 - 5) + a**2 - 4*a**2 + a**2 to the form p*a + x + d*a**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5180217 divided by -3\nAnswer: 1726739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*r - 48*r - 54*r + 109*r - 2*r**2.\nAnswer: -2*r**2 - 12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qh when two letters picked without replacement from {q: 4, h: 3, x: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 3*g + 3. Let o(u) = -3*u - 5. Let z be o(-3). Let k be f(z). Is 3 + k\/((-28)\/(-1664)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**10*m*m**(-4\/5))\/(m**12\/(m\/m**(9\/4))))**(-24) assuming m is positive.\nAnswer: m**(366\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*j - 63 = 33*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50\/51 - 4034\/255. Which is smaller: a or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 145*b**3*r - b**3 + 245*r wrt b?\nAnswer: 435*b**2*r - 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 5:15 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-179)\/9 - (10\/30 + 26\/(-117))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0*x + 177 = -3*s, 0 = -2*x + 4*s + 124. Let u = x - 54. Suppose -2*b - u*b + 356 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 1\/10*h**5 + 0*h**3 - 2*h**2 + 0 - 11*h + 0*h**4. What is the derivative of x(a) wrt a?\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37969887*k**2 + 280288281*k wrt k?\nAnswer: -75939774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**3 - 4*v**3 + 4*v**3 - 3 + 6*v**2 in the form o + f*v + h*v**2 + l*v**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -36436 divided by -9109?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 3 + -8 + 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 928 + 135 + 9*u + 7*u**2 + 8*u**2 - 64*u**4. Let r(q) = -16*q**4 + 4*q**2 + 2*q + 266. Let m(i) = -2*d(i) + 9*r(i). Differentiate m(z) wrt z.\nAnswer: -64*z**3 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -2, 2, 0.3, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -154, 0, 258 in ascending order.\nAnswer: -154, 0, 258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2824 - 4.6.\nAnswer: 2819.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - ((-25254)\/72)\/(-23))*10\/7.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u**2 - 16*u + 4. Let l be d(4). Which is the nearest to 1? (a) l (b) -5 (c) 82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 - -51 - (12 + -12)) + (2 - -6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 308699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112, 115, 116, 115, 112, 107, 100?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 12747?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z - 1. Let s(x) = -8*x**2 + 1567*x. Calculate s(u(f)).\nAnswer: -200*f**2 + 7915*f - 1575","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (4 - 7) - 8\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -114, -3541, 0, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 6*c**2 - 6*c - 7. Let i be l(7). Suppose -4*t - 2*o = -0*t, i = 4*t - 5*o. Suppose t*v = -2*v + 46. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 12:35 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 6 - 18. Suppose -f*g + 43 = -4*x, 3*g + 2*x - 4*x - 53 = 0. Let d be ((-12)\/(-14))\/((-3)\/g). Let a(u) = u**2 + 7*u + 5. Give a(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzzxy. What is prob of sequence xy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 4:07 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*((m*m\/((m**(5\/3)*m)\/m))\/m)\/m)**32\/(m**(9\/4)*m*m*m**(-2\/3)) assuming m is positive.\nAnswer: m**(-299\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 4) to base 7\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-184)\/460 + (-18)\/(-20) + 2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8210 is divided by 52.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-1 - 2) - (-890)\/(-300). Let t(w) be the third derivative of 1\/6*w**3 - 1\/12*w**4 + 3*w**2 - v*w**5 + 0*w + 0. Calculate t(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 50 = -4*s - 0*s, 0 = -2*k - s + 15. Suppose 6*f - 5*f + z - 7 = 0, 0 = 5*z - k. Solve -f*v + 5*a - 20 = 15, a = -2*v - 8 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-72) - (-5)\/(-6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**3*t**3 - 35509*n**3 + 55*n**2*t*u + 4*n*t**3*u + 3216*n*t**3 + n*t**2*u - 7*n*t wrt n?\nAnswer: 6*n*t**3 - 213054*n + 110*t*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*k**6 + 287*k**4 + k**2 + 490.\nAnswer: 600*k**3 + 6888*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 19181 = -405946. Let p(y) = -444*y**3 + 3*y**2 + 3*y + 3. Let s be p(4). Let u = s + l. What is u rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**0\/a)\/a)\/a)**(-41)*(a*a\/(a*a**(2\/15)\/a*a*a))\/a**8 assuming a is positive.\nAnswer: a**(1723\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -8*r - r - 2*r + 2*r. Let v(k) = 3*k**2 - 4*k**2 - 2*k**2. Give v(q(p)).\nAnswer: -243*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + sqrt(1088) - (sqrt(68) + -1 + sqrt(17) - ((sqrt(17) - (sqrt(17) + 2)) + -4)))**2.\nAnswer: -90*sqrt(17) + 506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 78, 268, 558, 948, 1438, 2028, 2718?\n\"Answer: 50*o**2 + 40*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a - 14*a - 7 + 39 = 0. Let h(q) = -q**3 - 5*q**2 - 5. Let w be h(-5). Let r be ((-4)\/(-10))\/(a*(-1)\/w). Solve -z = -1 - r for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1375583 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2091 (base 14) to base 16.\nAnswer: 15ef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r - 3. Let l be j(-4). Let w be (0 - (243\/(-45))\/(-9))\/(9\/(-90)). Put w, l, 5 in increasing order.\nAnswer: 5, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-1\/6)*a))\/(a\/(a**(2\/3)\/a)))**(-19)\/((a*(a\/(a**(-1\/7)\/a))\/a)\/a**(-4)*(a**1)**(8\/7)) assuming a is positive.\nAnswer: a**(625\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.5 - -13.5. Let b = -11 + l. Let a = 19 - 13. Do b and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j*v**3 - 23*j*v - 7*v**4 - 9*v**2 + 67*v wrt v.\nAnswer: 12*j*v - 84*v**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (239\/(-29) - 0). Let x = 981\/580 + s. Calculate the common denominator of (-548)\/(-411)*41\/(-24) and x.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12*(-20)\/(-30))\/((-2)\/4). Let x be (-5 + 2)*20\/(-3). Suppose x*y = g*y + 148. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3054 is divided by 2907?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/5 of a micrometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1304382618 a multiple of 5533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1951314?\nAnswer: 2, 3, 325219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 7:14 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 128\/10 + 84\/70. Let l be (-28)\/(-3 - (-637)\/217). What is the highest common divisor of c and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + -2 + (4 - 111\/(-30)). Let f = i - 46\/5. Which is the nearest to 2? (a) -0.1 (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4533 + 4515 = -k - 2*r, -3*k - r = -14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -358*b*p + p + 157 wrt b?\nAnswer: -358*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cce + -4?\nAnswer: -cd3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 15982, 30188, 44394?\n\"Answer: 14206*u + 1776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.157 - 1.383. Let h = -2 - c. Let s = h + 0.16. Sort -4, -1\/4, s in increasing order.\nAnswer: -4, s, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 15*q**2 - 29*q + 1080. Give f(17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 - 4*m - 19. Let w be b(6). Suppose 4*i = -3*x - 3 - 41, -5*x = i + 11. Let n = i + w. What is the remainder when 34 is divided by n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 49*a**2 - 1. Let r be i(-1). Suppose -r = q - 9*q. Solve -15 = -s - 5*b, -28 = q*s - 2*s - 2*b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvlylllll. Give prob of picking 1 v and 1 l.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4102*b = 5*o - 4105*b + 2 + 22, 72 = -3*o + 9*b for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -25*l - 2. Let m(j) = -j. Let i(v) = 2*m(v) - q(v). Let u be i(2). Suppose -2*a + 3*a = 4*p - 177, p + a - u = 0. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c + 0 + 0. Let d be 4*(-2)\/(-4) + -5. Let i(z) = -2*z**2 + 7. Let g(h) = h**2 - 3. Let v(o) = d*i(o) - 7*g(o). What is j(v(r))?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 109 + -42. List the prime factors of b.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.26 + -1.22?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 582079847 and 1513?\nAnswer: 1513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*n - 21*n = -b - 5, b + 5 = 2*n for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15682*r**3 - 56783*r**2 wrt r?\nAnswer: -94092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/18)\/((-16)\/36). Let a be (b\/(-2))\/(6\/(-4)). Solve -3*x - a = -4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -736 (c) 2\/11 (d) -1\/2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21332223 - 3?\nAnswer: -21332232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -76805220570 and 2.6.\nAnswer: -76805220567.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -1110011100?\nAnswer: 1110011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38997968.\nAnswer: 2, 47, 51859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 36474901669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.9 + -0.1. Let m be 3\/12 - 2\/8. What is the nearest to c in m, 1, 1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 + 0*r**2 - 32*r + 20*r + 11*r. Let y(q) = -120*q**2 + 67*q. Let u(b) = 6*c(b) + y(b). What is the second derivative of u(h) wrt h?\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 17*r**2 - 10*r + 40. Suppose -44 = -4*g - 4*f, -2*g = -2*f + f - 28. What is the units digit of q(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -543 - -22.5\nAnswer: -520.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41762442736111.000127 + 41762467416847. Let b = -24680682 + i. Let q = b + -54. Round q to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324) + 2*sqrt(324))\/(sqrt(2) - (-6*(1*sqrt(2) + sqrt(2)) + sqrt(2))) + 0 + 2.\nAnswer: 2 + 9*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21221 - -10?\nAnswer: 21231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 - 1) + -21 + 16. Let g = -19 + 14. What is the smallest value in 1, 2\/47, j, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -213 + 267. Let f be 2\/3 + 18\/h. Solve 0 = -g - f - 4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 + 101*y**2 + 32*y - 25. Let v be z(-50). Which is smaller: v or 876?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w**2 + 6*w + 4. Let d be u(-6). Let q = d + 139. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 5:12 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1168166953?\nAnswer: 1168166953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/(-48))\/((-1107)\/108 - -10). Let n(l) be the third derivative of 0*l**3 - 14*l**2 + 0*l - q*l**5 + 0*l**4 + 0. Let v(f) = 2*f. Determine v(n(j)).\nAnswer: -50*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*p - 12 = 0, 4*l + 3 = 4*p + 7. Suppose 0*n - 3016 = -2*h - 2*n, -7530 = -l*h + 5*n. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (59 - 47 - 13) + 15 - -22\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/(-9) - 0)\/(7\/(-84)). Solve 5*w - 9*w = -y for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**3 + 4 + 2*q**4 - 2*q**3 + q - 7 in the form y + s*q**3 + n*q + p*q**2 + v*q**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*u**5*v**3 - 100*u**5 - 6*u**2 - 9*u*v**2 + 2*v**3 - 20*v**2 wrt u?\nAnswer: -300*u**2*v**3 - 6000*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 74 + 70270583*z**2 + 16*z + z**3 - 70270617*z**2 + 15*z. Give g(33).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 17*y + 141 = -489 for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 605768816 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14424 is divided by 848.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 14*t**2 + 88*t - 93. Let r(j) = 3*j**2 + 22*j - 23. Let y = -143 - -125. Let i(d) = y*r(d) + 4*c(d). Factor i(w).\nAnswer: 2*(w - 21)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/544 and 61\/416?\nAnswer: 7072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -26, -46, -70, -98, -130?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 32\/(-64) + (-11)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25a44a3 (base 11) in base 10?\nAnswer: -4500708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 107, 147, 171, 173, 147, 87?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4484804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50 - -30) + 15 - 22?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/3 + (-2)\/(-3). Suppose n + 3 - 13 = s. Let u = n + -8. Sort u, 0, -2 in decreasing order.\nAnswer: u, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 22*x**2 + 63*x - 505. Let i be r(7). Solve -36 = -i*d + 1023*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12659 - 12659. Let i(j) be the third derivative of 2\/105*j**7 - 1\/3*j**4 + x*j + 0*j**3 + 0*j**6 - 1\/5*j**5 + 0 - 44*j**2. Solve i(b) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 192697, 385355, 578013, 770671?\nAnswer: 963329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 6 + 39. What is the third biggest value in -5, u, -2\/21?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -1588*u**3\/3 - 1550*u**2 - 2396*u. What is the derivative of c(l) wrt l?\nAnswer: -3176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -32.766 (c) 1\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348*c - 9228 - 1091 - 5341 = 0 for c.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 12.1. Which is the closest to 1? (a) i (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 - 7890*n.\nAnswer: 5*n*(n - 1578)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -815 + 828 - (1 - 15)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 8 = 2*w - 2*u, 3*w = -3*u + 12. Solve 15 = -4*c - 5*b, c + w*b + 12 = -2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microsecond in nanoseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 40*h**2 + 4*h + 7. Let d(t) = 205*t + 10*t**2 + 3 - 203*t + 10*t**2. Let q(p) = 5*d(p) - 2*f(p). Give q(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/((-36)\/(-27)) + 7. What is the hundreds digit of 164*22\/(-16)*-1*k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33002244 (base 5) to base 7.\nAnswer: -2251626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (33\/154)\/((-6)\/32*-2)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 3 - 2*s)*(-31 - 15 + 68).\nAnswer: -44*s + 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6875 (base 9) in base 2?\nAnswer: 1001111100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6921289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01567631 to 4 decimal places.\nAnswer: -0.0157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttosoootttost. Give prob of sequence ot.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/6 + -1 + -1. Are b and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgp when three letters picked without replacement from psmqgsmf.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/13? (a) -2\/5 (b) -4\/13 (c) -1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1172828 divided by 586414\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.5 (b) -150 (c) 1\/3 (d) -4 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-5448)\/2043)\/(1\/4)\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 2*o - 17, -2192*o + 2196*o + 40*q + 196 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96.4181 - 96.5. Let c = g - -0.097. What is c rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/410 less than or equal to -0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 2:42 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and (3 - (-3 + 0)) + 114 + -5.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15005426.\nAnswer: 2, 31, 41, 5903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/6 - 2)*56\/(1904\/(-87006)). Is d <= 11942?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 - -78. Calculate the least common multiple of 7 and k.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4355 - 3310?\nAnswer: 1045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-4392)\/(-8052) - (-28)\/110) + (-170)\/650\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**5\/9 + 137*f**4\/9 + 641*f**3\/9 - 52393*f**2\/9 + 263780*f\/9 + 740036\/9 = 0.\nAnswer: -22, -2, 11, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(3*sqrt(250)).\nAnswer: sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 4*c**5\/9 - 28*c**4\/9 - 4*c**3 + 28*c**2\/9 + 32*c\/9 = 0.\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10227.\nAnswer: 3, 7, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(1\/10))\/(((p*p\/(p**(-3\/4)*p))\/p)\/p)*(p*p*p**(-1\/3)*p*p)**(33\/7))**(-36\/5) assuming p is positive.\nAnswer: p**(-23481\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 199.5256ml to litres.\nAnswer: 0.1995256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13788 and 612?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1)*j**(-2\/5)\/j)**31)**(-2\/61) assuming j is positive.\nAnswer: j**(744\/305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 15*f**5\/7 + 12*f**4\/7 - 48*f**3\/7 - 66*f**2\/7 - 15*f\/7 + 6\/7 = 0.\nAnswer: -1, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-26 - (19 - 23)) + 27142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -10. What are the prime factors of (-3)\/v - (-316)\/10?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34131959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-2) - 0\/2. Let v(m) = m + 10. Let u be v(-5). Suppose u*l + f = 7. Is l at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/q**(6\/7))*q**(1\/4))\/((q\/q**(-1\/4))\/q)**(-14)*((q**0\/q)**(2\/31))**(-21\/4) assuming q is positive.\nAnswer: q**(5161\/868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8256\/(-1204)*112\/(-6) and 256?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5064 - -0.5064. What is the nearest to t in -1, -0.3, 1\/7, 5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -691 - -736. Let s = 11 - 2. What is the greatest common factor of s and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 20. Suppose -2*u + s - 29 = -0*s, -3*s = u + 18. Let r = g - u. Solve n + 3 = 4*c, r*n = 2*c + 4*n - 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (24\/(-33))\/4 - (-15044)\/(-22). Let v be 2\/(-17) - p\/323. Factor 0*y - 1\/4*y**3 + 0 - 1\/4*y**v.\nAnswer: -y**2*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10010220120001 (base 3) to base 9\nAnswer: -3126501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 695358 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 19*c**2 - 723*c + 8610. What is the smallest common multiple of n(12) and 50?\nAnswer: 13350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + x - 12, -n + 3*x - 8*x - 6 = 0. Let t be (40\/(-12))\/((-2)\/n). Let q = t + 16. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185 + 183 = -2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -738 or -775?\nAnswer: -738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*b - 5*f, 2*f - 6 + 5 - 12 - 2 = 21*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4440342042?\nAnswer: 2, 3, 246685669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 107*v - 927. Let p be f(9). Let g be (1 - 1)\/(-1) + 2. Suppose -g*t = -70 - p. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56396177 and 4810.\nAnswer: 7331503010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010 + -1100012?\nAnswer: -1101022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 + -1473)*(-1)\/2. Let i = 1044 - n. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2322 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 55501 minus 79?\nAnswer: 55422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -402 - -420. Suppose m*b - 36 = 3474. Is 75 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -524*n**2 - 401*n - 8. Let d(q) = -1048*q**2 - 799*q - 18. Let f(p) = 4*d(p) - 9*l(p). What is the second derivative of f(c) wrt c?\nAnswer: 1048","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 16) to base 12\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -106 * -0.091.\nAnswer: 9.646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -15*o - 434 + o**3 - 398 + 805 + 5*o**2. Let p be x(-8). Round p to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/(-14))\/(552\/(-644)))\/(12\/(-27))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 82\/41809845 and -46\/3800895?\nAnswer: 41809845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c + 4. Let o be g(4). Let n be 34\/6 + 8\/o. Solve 2*d - 2*j = d + n, 5*d + 3*j = 17 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/14 + (-1466)\/(-14). Suppose 2*c - 5*d = -3*c + n, -5*d = -2*c + 30. Is 14 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38915123 a multiple of 573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -21*f + 11. Let v(g) be the first derivative of -5*g**2 + 5*g + 2362. Calculate 6*s(x) - 13*v(x).\nAnswer: 4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16231820.\nAnswer: 2, 5, 11, 89, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of 0*x**3 + 0 - 1\/12*x**4 - 9*x + 0*x**2. Let k(o) = 2*o**2. Calculate k(a(y)).\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -468*x - 143*x + 716*x**4 - 1357*x + 153*x**4 + 1577*x**4 wrt x?\nAnswer: 29352*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 38. Let h be z(33). Suppose 0 = -h*m + 20, 23*x + 4*m = 24*x + 15. Let i be (-1)\/(-1 - 0) - 2. What is the smallest value in i, -0.5, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2902, 16, 6, 10 in increasing order.\nAnswer: -2902, 6, 10, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 9*x + 594 = 0. Let t = 175 - x. What are the prime factors of t?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g + 17. Let y be w(-15). Let k be (-45)\/21 - (0 - y). Which is the nearest to 1\/3? (a) 1\/6 (b) 0 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-749)\/35 - 4\/(-10). Is (6\/a)\/(2\/(-2282)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*o - h + 12, 3*o - 3*h - 45 = 0. Let i(n) = n**2 + n + 3. Let y be i(-4). Calculate the greatest common divisor of y and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-27)\/(-12)))\/((-20)\/(-30)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 80.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 130935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 2*b**2 - 2*b + 1. Let x be 2 + 0 + 3 + -2. Let h be n(x). Suppose o - h*o + 237 = 0. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17410473?\nAnswer: 3, 389, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 40\/15*3\/2. Let d(t) = -4*t + t**2 + 5 + y*t + 5*t. Let p(u) = -2*u**2 - 8*u - 8. Suppose 3*c + 5*l = 5, -4*c = -l - 20 - 2. Determine c*p(a) + 8*d(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i - 34 = -7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2082 + 2102. Solve 65*i - 61*i + r = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2. Let d = 5690 - 5694. Let n(l) = l. Give d*j(g) + 4*n(g).\nAnswer: 4*g - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 6:26 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 2*y**7\/21 - 4*y**6\/15 - 3*y**5\/5 + 8*y**4\/3 - 8*y**3\/3 + y - 118. Let f(s) = 0. What is s?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, g: 1, s: 7, z: 9}. What is prob of sequence zr?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 6*h**2 - 1. Let f be (-40)\/(-12)*(-12)\/(-10). Is c(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -30. Let j be ((-12)\/f)\/(9\/12). Let y = 211 + -202. Solve j*z + y = -z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109317980 to the power of 1\/3, to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5)*v*v*v*v**(1\/7))\/(((v\/(v**(-1)*v))\/v*v)\/v**(-4))*(v**(-1\/3)*v*v**(4\/11)*v*v*v)\/((v**(-1\/4)\/v)\/v*v*v)**(-15) assuming v is positive.\nAnswer: v**(-6077\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 5)*(102\/18 + -5). Suppose -5*m - 4*b - 35 = 0, i*m + 21 = m + 3*b. Let h(x) = -x**2 - 7*x + 2. Calculate h(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b - 528 + 338 = -117*b + 3176 for b.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 4465434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 9:10 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 34.952 decades?\nAnswer: 0.34952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -k + 30. Let z = 499983 - 499977. Which is greater: z or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212*j + 155*j + 195*j - 816*j + 191*j.\nAnswer: -63*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 1. Let z = -11 + 10. Let g(k) = k**3 - 2*k**2 - 2*k + 6. Let b(r) = z*g(r) + 3*f(r). Calculate b(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 7*l.\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllljzjljlzllhjlt. What is prob of picking 2 l?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 337*u - 2642. Determine w(8).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47658 and 27824.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2325825?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 9:01 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0*i)**(-46)*(i*i**(4\/5))\/i**(1\/5) assuming i is positive.\nAnswer: i**(-222\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 258074443 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + 412. Let p = 436 - n. Which is the third biggest value? (a) 1 (b) -0.74 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.24 + -0.182. What is c rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7 - 5 + 0)*(0 - 1 + 0) + 0 - 1 - 3 + 1 + 2 - 1)*(1 + 1 - 5)*(5*f**2 - 3*f**2 - f**2).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 466\/11, -0.2, 59?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 2*r + 3593 - 3665, 0 = -l - 4 for r.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 334, 315, 296?\n\"Answer: -19*r + 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 795 and 408418?\nAnswer: 6126270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 + -63 + -2 + (-54)\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 470 = -2*v. Let b = -48 - v. What are the prime factors of b?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-80)\/(-24) + -4*(-4)\/(-12). Factor 2\/7*d + 2\/7*d**i + 0.\nAnswer: 2*d*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -23*o**4\/8 + 44*o**3\/3 - 50*o**2. What is the units digit of m(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1022 = -16*v - 8174. What are the prime factors of v\/(-4) - 15\/(-60)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w**3 + 2*w**3 - 2*w**3)*(-5*w - 6*w + 0*w)*(8 + 65 + 92)*(2 + 3 - 7) to the form l*w + y*w**2 + a + s*w**4 + m*w**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1059785885 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 52 = -b - 4*a, -4*b + 68 = 4*a. Suppose -9*t - b = -4*t. What is the smallest value in t, 1\/2, 0.01?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1089128 divided by 4.\nAnswer: 272282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*a = 0. Suppose a = u - 0*u. Let x(n) = n + 3. What is x(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = 7*w - 10*w - 11298, -9385 = -5*s - 5*w. What are the prime factors of s?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bl when two letters picked without replacement from {s: 1, h: 1, b: 1, g: 2, l: 1, z: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 471485.408 + -3.\nAnswer: 471482.408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 710095 to the nearest integer?\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -7149.61.\nAnswer: 7149.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-54)\/351 - (-94)\/104. Let q = -3 + 4. Let n = -1.4 + q. Which is the smallest value? (a) d (b) n (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 373 + -371. Which is the second smallest value? (a) m (b) 3 (c) 18\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 18, 5, 1\/3, -0.1, -60 in increasing order.\nAnswer: -60, -4, -1, -0.1, 1\/3, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n = 6*n + 60. Calculate the greatest common factor of 12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.3 + -0.7. Let k = o + 9. What is the biggest value in k, -0.2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2878732897?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**3 - 243*s**2 - 1031*s - 792. Let v(d) = -9*d**3 + 971*d**2 + 4122*d + 3164. Let t(b) = 11*n(b) + 3*v(b). Solve t(g) = 0.\nAnswer: -3, -1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.06, 2, -1\/3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -437251\/33 - -13248. What is the common denominator of a and -19\/105?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2) + 10 + -42 + 32. Solve -x*i**2 - 29 + 59\/2*i = 0.\nAnswer: 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2. Let a(q) be the second derivative of q**5\/60 - q**3\/6 - 3*q. Let n(y) be the second derivative of a(y). Calculate n(s(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141251686?\nAnswer: 2, 31, 127, 17939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w + 26. Let y be q(-9). Let m be (2 + 2 + y - 2)*3. Suppose -3*z + 20 = -4*h, h + 4 = -m*z - 1. Solve 4*p + 13 + 7 = z for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c. Let a(w) be the third derivative of 2*w**2 + 0 + 0*w - 5\/24*w**4 + 0*w**3. Give q(a(n)).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 432 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 18 = 3*v. Suppose -v = -6*q + 6. Suppose 2*f = 2*f + q*f. Solve f = -g + 2 + 2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 5)*(-3*d + 0 + 0) + (-4*d + 0*d + 2*d)*(2 + 2 - 5) + d + 4*d - 3*d + 2*d + 0*d + 0*d + 5*d - d - 2*d - 1 + 1 + d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -4*g - g. Suppose -5*f = -g - 31. What is the least common multiple of 2 and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -127 + 32. Suppose -648 = -3*q + 2*z - 210, -q + 4*z = -156. Let m = l + q. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 12:26 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2714*w - 9624 = -2720*w. List the prime factors of w.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 7*x - 7. Give i(-5).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001097619512 to six decimal places.\nAnswer: 0.001098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 220, 19, 2, -4 in descending order.\nAnswer: 220, 19, 16, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*sqrt(1008))*-5.\nAnswer: -60*sqrt(7) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - n**2 + n + 5. Let z be l(0). Suppose -18 = -y + o, -45 = -3*y - z*o + 25. Suppose 4*v + 0 = y. Solve 5*c = -0 + v for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d + 40. Let a(z) = 12*z - 80. Determine -3*a(p) - 7*h(p).\nAnswer: -p - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/2)\/(j\/j**(-2\/19)*j))\/(j*j\/j**(-2\/7)*j**6\/j) assuming j is positive.\nAnswer: j**(-2631\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 2*q + 6. Let g be m(7). Let u = g + 45. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**46)**(-2) assuming f is positive.\nAnswer: f**(-92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -11*h**5\/60 + 1016*h**2. Let v(t) = -2*t - 11. Calculate v(x(j)).\nAnswer: 22*j**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -46*d - 78. Let w = -196 - -179. What is the tens digit of o(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -3*l**5\/8 - 39*l**4 - 5013*l**3\/8 + 4479*l**2\/2 - 321*l\/2 - 2988 = 0.\nAnswer: -83, -24, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -4972\nAnswer: -3\/4972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -198, -1, -4, 2 in decreasing order.\nAnswer: 2, -1, -4, -9, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10, 148, 362, 640, 970, 1340, 1738, 2152?\n\"Answer: -2*d**3 + 50*d**2 + 2*d - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*((-2)\/2 - -2). Suppose -2*h + m = -m - 84, -p*h + 2*m = -130. Calculate the highest common divisor of 230 and h.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100233 to the power of 1\/2, to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1104 times 3?\nAnswer: -3312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -6*v. Let q(l) = 2*l - 16. Let s be q(5). Let m(h) = 8*h + 2*h - 3*h. Determine s*n(y) - 5*m(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 n, and 2 s when four letters picked without replacement from ylsnnsnlllt?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - u = 1560, -10*u + 1560 = 5*s - 5*u. Calculate the remainder when s is divided by 140.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 474 divided by -185\nAnswer: -474\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*k**3 + 6*k**3 + 10 - 5*k**3.\nAnswer: -13*k**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 381\/12*1*4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.8401618 rounded to 3 dps?\nAnswer: -3.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -42222?\nAnswer: -42223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*r + 9*r**2 + 21*r + (0 + 0 + 2)*(-6*r**2 + 2*r**2 + 2*r**2) + (35 + 5*r - 35)*(3 + r - 3) in the form u*r**2 + o + p*r and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-2*sqrt(605) + -2)*2)**2.\nAnswer: 352*sqrt(5) + 9696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 285 + 31. Let u = -54 - n. Let c(m) = -19*m - 99. Calculate the remainder when c(-9) is divided by u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 11:25 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001044878 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8763 = -27*c + 4*c. List the prime factors of c.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 - 35.6. Let r = s + 0.6. Which is the closest to -0.2? (a) 0.1 (b) r (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2759, -108, 3.\nAnswer: -2759, -108, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 13*t**2\/2 - 13*t - 2. Let i be (-18)\/4*(-2)\/1. Let s(v) = -3*v + 3. Determine i*s(a) + 2*r(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*((-18)\/8 + 0). Which is bigger: -6 or f?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8266230 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48\/169, -2, 0.4, 0 in descending order.\nAnswer: 0.4, 48\/169, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -120 + 201. Let n = -83 + g. Which is the nearest to 1? (a) n (b) 2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -252*v + 23593. Give z(94).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -25 - (-20 - -17 - -29)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 42823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -512\/11 or -46?\nAnswer: -512\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*v = 4*l - 24, v = 5*l - 24. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113, 140, 13, -340, -991, -2012, -3475?\nAnswer: -5452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 460 and 391.\nAnswer: 7820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -4*j**2 - 9*j + 1. Let f(t) = t + 1. Let g(a) = 51*f(a) + 6*m(a). Find the first derivative of g(n) wrt n.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/(-27))\/((-278)\/(-4587)))\/((-1)\/(-9))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -6892500?\nAnswer: -1\/1723125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**3*z**3 + 21*o**3*z**2 - 4*o**3*z + 56*z**3 wrt z?\nAnswer: -6*o**3 + 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(30*h**2 - 239*h**2 - 104*h**2).\nAnswer: -313*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.6 + 3.57. Let c = 0.14 + g. Round c to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13756 and 817.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.1 + -10.1. Which is smaller: -6 or y?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = p + 3*p. Let x = -13 - p. Factor -7 - 18*m**3 - x*m**2 + 15 - 32*m + 50*m**2.\nAnswer: -2*(m - 1)*(3*m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*p = 2425 - 2611 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/13)\/(4\/(-8))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 246*d**3 + 22*d - 22. Let v(w) = -35*w**3 - 3*w + 3. Give -6*t(n) - 44*v(n).\nAnswer: 64*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*f = 6, -h - 3*f - 1 - 3 = 0. Find the second derivative of 27*u + 6 - 6*u**h + 28*u + 25*u - 3*u**3 - 82*u wrt u.\nAnswer: -18*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 247*v - 1142. What is the hundreds digit of a(35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43 - 12411?\nAnswer: -12324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*v - 12*v - 75 = 0. Solve 0*l = -l - 4*d + 3, -3*l + 9 = v*d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4800805 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((250\/30)\/(-5)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 442 - 437. Let h(z) = -z**3 + 2*z**2 + 12*z - 3. Calculate h(g).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-8\/5)*r*r*r**(-6\/5)\/r assuming r is positive.\nAnswer: r**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + 2603 - 2219 = 0 for a.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*m**3 + 32*m**3 + 6*m**3 + (0*m**2 - 2*m**2 + 4*m**2)*(-1 + 1 - 2*m) + 3*m**3 - 4*m**3 + 0*m**3 as c*m**2 + y + h*m**3 + d*m and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 51034*l**2\/7 + 306198*l\/7 - 36\/7.\nAnswer: 2*(l + 6)*(25517*l - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62 + 53. Let v = 10 + k. Let g be -4*(-1 + (-9)\/(-4)). What is the nearest to -3 in 0, g, v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 0*i**6 + 0*i + 0 + i**2 - 1\/336*i**8 + 0*i**7 + 0*i**5 - 1\/24*i**4 + 0*i**3. What is the second derivative of y(a) wrt a?\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 3:52 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3092 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -95048*f**5 + 34*f**4 - 165*f**2 - 1325*f + 2 wrt f.\nAnswer: -5702880*f**2 + 816*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbk when three letters picked without replacement from xggbxkjbxxbrrbxrkx?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -32, 394 in increasing order.\nAnswer: -32, -3, 394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-5)*(-81400)\/(-19536))\/(5\/4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 340 + 73 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -322?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (-12 + (21 - 11) - 11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.3, 3\/4, -3, -0.11, 5, 8, -28?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 10:07 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -15*i + 42*i - 5 - 24*i. Suppose 13 = 3*q - 5. List the prime factors of b(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 + -40. Suppose 15 = -2*b + 3*d + 60, -b + d + i = 0. What is the remainder when 0 + (0 - -40) - -3 is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -16. Let n be (-291)\/(-27) - q\/9. Calculate the common denominator of 22\/5 and n\/(-3)*(-8)\/(-24).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4075, -8018, -11919, -15778, -19595, -23370?\n\"Answer: 21*v**2 - 4006*v - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24149 is divided by 860.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38*n**3*p**4 + 19*n**3*p**2 - n**3*p + 3774 wrt p?\nAnswer: -456*n**3*p**2 + 38*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**2\/7 - 13434*s\/7 + 13432\/7 = 0. Calculate s.\nAnswer: 1, 6716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35270 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**(-37)\/(v**(-2\/7)*v)**(7\/10) assuming v is positive.\nAnswer: 1\/sqrt(v)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35 - 3136\/(-80))*(-28)\/6 + 13.\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10 + (-5 - (3 - 4)). Let f(j) = j + 1. Let p(r) = r**3 - 7*r**2 + 4*r - 10. Let a(m) = -3*f(m) - p(m). What is the units digit of a(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2685944, -2685974, -2686018, -2686076?\nAnswer: -2686148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 516495 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (-11 + 8 + (2 - -3))) + 2 + -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 535 is divided by 109.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**4*l + 6*b**4 + 135*b**3*l + 2*b**2*l + 7*b**2 - 19*b - l wrt b?\nAnswer: 24*b*l + 144*b + 810*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1954 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -59.76 to zero decimal places.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -439*v**3 + 214*v**3 + 217*v**3.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 8 = 2*l, 0 = 5*a + 3*l - 22. Differentiate 2 - 6 - a + 1 - 2*w wrt w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58472322.74500111 - 58472858.745. Let u = -536 - y. What is u rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 59983, 114025, 168067?\n\"Answer: 54042*f + 5941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2112 - -2153. What is the remainder when 1840 is divided by n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 6:25 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -1\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r = -6*r - 6*r. Solve 4*n + r*n + 6 = -p, 3*n + 3*p = -9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)*d\/(d\/(d**(3\/2)*d)))\/(d**(2\/19)*d*d**(-4)) assuming d is positive.\nAnswer: d**(167\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 49655224, 49655215, 49655200, 49655179, 49655152, 49655119?\n\"Answer: -3*c**2 + 49655227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13311*r**4 + 73335*r - 36660*r - 36675*r + (2*r**2 - 2*r**2 - r**3)*(r - 4 + 4) + 0*r**2 - r**4 + 0*r**2.\nAnswer: 13309*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -23 - ((-5)\/(-10))\/(-3*1\/6)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (48445\/(-36) + 1)*(5 - 8). Let w = -4041 + d. Find the common denominator of 274\/36 + -1 + -1 and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 100807.44925966 and -0.5.\nAnswer: 100806.94925966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 40\/6*(2\/(-1))\/(1170\/(-27))\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -119961.1 and 22.86.\nAnswer: -119938.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 b when two letters picked without replacement from xbkqkxy.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2265*n - 87 + 2263*n - 25 in the form q + w*n and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vcvcbbbvbb. What is prob of picking 3 b?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3289 + 3381. Calculate the remainder when j is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*k - 5*k + 14*k - 2*k as j*k + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011 - -1002221?\nAnswer: 1011002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 8*w**2 - 10*w + 10. Let k(f) = f**2 - f + 1. Let u be 1\/2 + 3\/6. Let h(b) = u*s(b) - 10*k(b). Let r(m) = -8 + 2*m**2 + 8. What is r(h(q))?\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -63, 4, -90 in descending order.\nAnswer: 4, -63, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/70 - 22\/55.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 33 = 5*m, 3*m = -2*t - t + 21 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*a - 338541 + 335941 = 0 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 3*q + 9, 0 = 8*q - 4*q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -22. Suppose g - 4*d - 6 = -2*d, 2*g + 5*d - 12 = 0. List the prime factors of ((-9)\/6)\/(k\/g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -4. Let x(f) = 3*f**2 - 83*f + 59. Let q be x(27). Sort 0, q, -4, l in descending order.\nAnswer: q, 0, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 266 - 58. Suppose -2*f + v = -5*f. Find the common denominator of 18\/11 and f*21\/48*4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8ac7a9 (base 13) in base 16?\nAnswer: 321ab8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + p**2 - p - 1. Let z(m) = 2*m**3 + m**2 - 2*m. Let k = 3 + 6. Suppose -k = 4*v - 17. Suppose 14 = -28*l + 21*l. What is l*z(h) + v*r(h)?\nAnswer: -2*h**3 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, q: 14}. What is prob of sequence qq?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, r: 3, q: 1}. Give prob of sequence rrg.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1405.4 - 1409.4. Which is the closest to 7? (a) -1\/2 (b) i (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - 2*sqrt(171))**2*3 + 2 - (-1*-2*sqrt(171) + -5).\nAnswer: -6*sqrt(19) + 520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2194743 to the power of 1\/2, to the nearest integer?\nAnswer: 1481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(-52)*(-3640)\/(-5005)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**6\/60 - r**5\/20 - 5*r**2. Let n be u(-2). Does 3 divide 9 + n + (-2)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y + 1. Let f be r(6). Find the third derivative of j**2 - j**2 - 6*j**3 - f*j**2 wrt j.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 1. Let g be (-1 - -1)\/(r - -2). Let w be g*(-3)\/((-3)\/1). Solve 0 = 3*b - w*b + 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-14 - -15) - (-71 - (-5 + 6))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l**3 + 5*l**3 - 2*l**3)*(-3*l - 2*l + 3*l) + l**4 + 2*l**4 - 4*l**4 + 1 - 1 + 2*l + 3*l**4 in the form r*l + t*l**3 + f + h*l**4 + p*l**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-4343 - -4415) + 1 + -24\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*w**2 + 153*w**2 - 89*w**2.\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 4*d**2 - 6*d - 4. Calculate v(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 1:05 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5*r**3 - 11*r**2 + 21*r + 12. Is 166 a factor of a(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-231)\/(-66)*((-10088)\/485)\/((-308)\/(-30))\nAnswer: -78\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -o + 2*l, 3*o + 5*l + 2 + 37 = 0. Let i(x) = -4 - 5 - 3*x + 3*x - x. Let v be i(o). Which is the closest to 2\/5? (a) 0.4 (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 12, -2*a - z + 0*z - 877 = 0. What is the tens digit of (-2)\/9 + a\/(-36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3657.956 times -3?\nAnswer: -10973.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/7)*a)**47\/(a**(2\/5))**(-36\/11) assuming a is positive.\nAnswer: a**(16014\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvdlqdd. What is prob of picking 1 q and 1 d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42\/61 + 4887\/610. What is the common denominator of u and -97\/48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b - 6*b + 36. Suppose -m + u = -360, -u - 1464 = -4*m - b*u. Suppose 2*y = 16*y - m. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 0)*0 + 2. Let s = 44 - 26. What is the least common multiple of z\/(-6) - (-147)\/9 and s?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1505954 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/1435 smaller than -0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(152)\/(sqrt(16)\/sqrt(2)) + 3)**2.\nAnswer: 4*sqrt(19) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73 - 0. Let i = q - -105. Suppose l = 10 + i. Calculate the highest common factor of 63 and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 8*w**2 + 11*w + 13. Let k be i(-7). Let z be ((-20)\/k)\/(2\/(-48)). Calculate the remainder when 470\/16*2 + 24\/z is divided by 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 82 = -5*h + 98, -3*a = -2*h + 9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46683629 to the nearest integer?\nAnswer: 6833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2227 - -1550. Which is smaller: 0.4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 127744?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, d: 4}. Give prob of sequence qqdd.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 3*h + h = -2, u - 3 = -2*h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**3\/7 - 5016*y**2\/7 - 7134*y + 54956\/7 = 0.\nAnswer: -2498, -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48*b**6 - 8766*b**5 - 34*b**2 - 75489?\nAnswer: -5760*b**3 - 525960*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16525301346 - 3?\nAnswer: 16525301343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.76 - -0.96. Let i = c - -132.28. Let j = i + -134.000063. Round j to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3 - 3 = j, 2*j = -2. Let o be m\/(-2) + 5\/10. Let b be -5*o*(7 - 8). Solve 29 = -4*w + b*a, 4*w + a - 5 = -4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwccxwxcxxwccww. Give prob of picking 1 x, 1 c, and 1 w.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443149?\nAnswer: 7, 29, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**2\/3 + 50324405*m\/3 - 16774800 = 0 for m.\nAnswer: 1, 10064880","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6747)\/(-1586) - 8*(-1)\/(-2). Let w = 5531\/2562 - x. Find the common denominator of w and -82\/33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 w, and 1 k when four letters picked without replacement from rkwrwrrm?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 4*o - 1294, 40*o - 43*o + 998 = -4*z. Solve -5*n + 331 - o = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 27*o + 910. What is f(-34)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 502 * -0.3079.\nAnswer: -154.5658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1284 and 9456.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*c - 44 = -114*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 12:55 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 33. Is 12 a factor of p\/8*8*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, t: 1, h: 2, x: 12, y: 1, k: 2}. Give prob of picking 1 e, 1 k, and 1 y.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1734307 is divided by 5040.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/93558 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -55*c**2 - 39*c - 2. Let b(x) = -202*x**2 - 154*x - 7. Let v(t) = -6*b(t) + 22*m(t). What is v(-33)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o**4*v - 2*o**4 + 983*o**3*v + 2*o**3 + 764*o**2*v + o**2 - 3*v wrt o.\nAnswer: 48*o*v - 48*o + 5898*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 103 + -42. Let b = h - 58. Solve 3*t = -2*t - 3*y + 4, -b*y = -3*t + 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (7\/14)\/(1\/246)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76 * 202485\nAnswer: 15388860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 11*v + 3 + 16*v - 38*v + 18*v. Let n(l) = 20*l + 8. Let z be (2\/(-4))\/(2\/(-32)). Give z*f(i) - 3*n(i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d**2 - 2*d + 3. Let q be j(2). Let h = -1 - -6. Solve 0*i + q = -3*i + w, 4*w - h = -i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.015 + -0.515. Let s be (3 - 4) + 1 + -1. What is the closest to -1 in d, s, -10?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (-4)\/(-12)*-3. Suppose 2*h = -6, 9 = y - 3*h + h. Suppose -31 - 80 = -y*t + 3*o, -o - z = 0. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/sqrt(2) + -1)**2 + -4.\nAnswer: -2*sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 303894361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -127, 5, 12 in ascending order.\nAnswer: -127, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 3*n**2 - 3*n - 5. Let h be s(4). Let r = 0 + 0.1. Put r, 3, h in ascending order.\nAnswer: h, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 + 96528*r + 776471232.\nAnswer: 3*(r + 16088)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -53*m. Let a(d) = 1489*d + 2. Calculate -a(g) + 6*b(g).\nAnswer: -1807*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -528 divided by -2\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51.2 + -58. Let d = 7 + f. Sort 3, 0.3, d.\nAnswer: d, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1. Sort -4, -2, i in descending order.\nAnswer: i, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (920\/(-24))\/((-60)\/432) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-112)\/(-2268)*9*567\/(-162).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n - 3*i + 58 = -5*i, 14*i - 12*i - 1 + 3 = 0 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -4*g - 20, -4*m + 5*g = 10 - 35. Suppose -10*v - 13*v + 46 = m. Find t such that -2\/7 - 18\/7*t**4 - 48\/7*t**3 - 44\/7*t**v - 16\/7*t = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.04 + 0.08. Let k = -0.4532 + 0.2532. Let g = k + i. What is the second smallest value in -3, -1\/3, 0.3, g?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16889?\nAnswer: 16889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17336?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 141446.2 * 3\nAnswer: 424338.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5245 divided by 1049?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7388 - -7393. What is the closest to 0.2 in 0.3, -13, m, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 128307 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6532 divided by 41.\nAnswer: 6532\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3*(-3*sqrt(392) - sqrt(392)))\/(6*(sqrt(72)\/sqrt(2))\/sqrt(9)).\nAnswer: -14*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -0.1 (c) 0.1 (d) -3\/7 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 51, 114, 231, 420?\nAnswer: 699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**6\/120 - w**5\/30 + w**4\/24 - w**3\/3 + w**2. Let j(s) = 2*s**3 - 5*s**2 + 3*s - 5. What is 2*j(h) - 5*t(h)?\nAnswer: -h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) + -1 + -1 + -4*(sqrt(1377) + 0))**2 - ((-2*(sqrt(1377) + sqrt(1377) + -1) + sqrt(1377))**2 + -1)) + 1.\nAnswer: 2 + 216*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 2*b**2 + 4*b - 3. Let w be -3*3\/((-18)\/4). Determine q(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)\/v**(-7\/3))\/(v*v**(-1\/2))**(-2\/77)*((v\/(v\/(v*v**0)*v))**(13\/2))**(-17) assuming v is positive.\nAnswer: v**(311\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2\/7 + 10*z\/7 + 39\/7 = 0.\nAnswer: -3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i - 4. Give l(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -45*o**3 - 116*o**2 + 60. Let l(q) = 9*q**3 + 23*q**2 - 12. Let f(b) = -11*l(b) - 2*z(b). Factor f(n).\nAnswer: -3*(n + 1)*(n + 2)*(3*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*j - 2*j = 26, 0 = 2*o + 4*j - 26. Is 9 a factor of 9 + -12 + 4 + o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 130\/3 (b) 0 (c) -0.1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/2 + 30*k**2 + 123*k\/2 + 31.\nAnswer: -(k - 62)*(k + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2694272714 take away 0.1?\nAnswer: -2694272714.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4, -4*t - 2 = -m + 2. Let y(c) = -1. Let i(w) be the second derivative of -w**4\/6 - w**3\/6 + 2*w**2 + 101*w - 1. What is m*y(u) - i(u)?\nAnswer: 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 15. Let z = -311 + 1245\/4. Which is the smallest value? (a) 0 (b) z (c) 2\/5 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1634 = -4*c - 3*c - 1634. Let u be 1\/(3 + (-28)\/10). Let a be 1\/((1*-2)\/4). Sort a, u, -3, c.\nAnswer: -3, a, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11.9 - 11.82. Sort 1, b, 5, -1 in increasing order.\nAnswer: -1, b, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2 + 18*z**2 - 8*z**2 + 42 + 4*z - 9*z**2. Let y be n(-5). Which is greater: 10 or y?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 312, 664, 1058, 1494, 1972, 2492, 3054?\nAnswer: 3658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-1 - (-6 + 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10885603669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2575209 is divided by 82?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0.5, -1, 16, -0.3 in descending order.\nAnswer: 16, 8, 0.5, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 3*r - 12. List the prime factors of ((-21)\/r)\/((-1)\/74).\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-155)\/62*1*(-6)\/21)\/(49\/(-98)).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 3771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5288627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 2, 69312, -18, -4 in decreasing order.\nAnswer: 69312, 4, 2, -3, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + -1 - sqrt(50)) + -5*sqrt(32) + sqrt(2) - ((-4*sqrt(2)*-2 - sqrt(2)) + (2*sqrt(72))**2).\nAnswer: -289 - 26*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, b: 3, u: 9}. Give prob of picking 2 b.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -102262681 - -1?\nAnswer: -102262680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffle. Give prob of sequence fel.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 181630 + -66633. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 14 = -3*d. Suppose 8*i = 4*i + 20. Suppose -9 = -4*g + n, -3*n + 4 = -i. Calculate the remainder when d is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(5\/(5\/12*2)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -100 divided by 50\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4392068*l**4 - 1795917*l - 2 wrt l.\nAnswer: -52704816*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.59 + 0.01. Let l = -2.6 + r. Let d = -1.392 + -0.608. What is the nearest to d in 0.5, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*s = -8184, -17 = -5*s - 32. What is the thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -295*i + 6492. Determine q(22).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 216574803 to the power of 1\/2, to the nearest integer?\nAnswer: 14716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4242 - (-9)\/(45\/(-5)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 20, 52, 90, 134, 184?\n\"Answer: 3*k**2 + 23*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 + 5691\/105 - 332\/10?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.42799943557 - 9.428. What is i rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 46 = 3704*u - 3707*u + 9*k, -4*u - 5*k = 1 + 3 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x + 666 = 3*x. What is the greatest common divisor of x and 185?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2427823 to the power of 1\/2, to the nearest integer?\nAnswer: 1558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 3*w + 6. Let k be n(-4). Let y be ((-8)\/(-20))\/((-1)\/(-65)). Suppose 4*a - y = -k. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-27) + 18728\/(-18). Is (-1 - -24)\/(8*(-10)\/t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 94\/(-470)*8\/(-60)*1?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2504*a - 5014. Determine n(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8308, 4621, -1534, -10163, -21272, -34867?\nAnswer: -50954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53872*g + 53877*g = 0, g + 20 = -2*z for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2*l**4 + 5*l**2 + l + 7*l - 5*l**3 + 8*l**2 + 8*l**2 - 18*l**2 = 0. What is l?\nAnswer: -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(4)*1)\/sqrt(2))**2 + sqrt(2) - (sqrt(8)*3 - sqrt(8) - sqrt(8))\/sqrt(4)) + 1 + (sqrt(640)*-2)\/sqrt(5).\nAnswer: -16*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(4 + 2 - 5)*(3*n + n - 12*n) + 1 - n - 1.\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45 and 5990.\nAnswer: 53910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1481311342, 1481311343, 1481311344, 1481311345, 1481311346, 1481311347?\nAnswer: 1481311348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, p: 2, y: 10}. Give prob of sequence pyy.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - o - 2 + 6 to the form x + r*o and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least as big as -82875\/509?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven fifths of a century?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 = t - 6*t. Let s(a) = 5*a**2 + 2*a + 3. Let j be s(-2). Calculate the greatest common factor of j and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 71 = 4*a, -5*a - q - 2*q + 87 = 0. Let p be 6*(-7)\/((-21)\/18). Calculate the greatest common factor of a and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 53*p**3 - 9*p**2 - 9*p + 9. Let l(u) = 13*u**3 - 2*u**2 - 2*u + 2. Determine 9*l(t) - 2*x(t).\nAnswer: 11*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.9 - 2.3. Which is the closest to -2\/5? (a) s (b) -3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 30*p - 4. Let y(c) = 3*c. Give -l(w) + 5*y(w).\nAnswer: -15*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/((6\/(-4))\/1). Find the second derivative of -3*s**2 - 9*s**q - 3*s - 7*s**2 + 14*s**2 wrt s.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 16) to base 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*j - 8. Let b(m) = 2*m + 3. Let h(c) = c**2 + c - 2. Let g be h(2). What is the remainder when b(g) is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = c - 1, 0 = 3*c + w - 3*w + 7. Let g = -10 - -132\/13. Let t = 1.2 + -0.2. What is the second biggest value in g, c, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 957970 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1214377 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -294*r + 12. Let q(m) = -551*m + 23. Calculate 3*q(a) - 5*u(a).\nAnswer: -183*a + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1245725303?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1662091757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, -0.18007, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1*(sqrt(300) + -2) + 3)**2 + -1 + 1 + 1)*-5.\nAnswer: -1490 - 100*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -496 = -27*c + 29*c. Let z = -29 - 336. Let k = c - z. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100 (base 2) in base 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 44*s + 86. What is o(-26)?\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((0 - 0) + -1)*-2. Let p = 0 + 0. Suppose p = -0*w + w. Solve -r*a + a = w for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 28 = -b, -7*b + 5*g = -3*b + 13. Let z(u) = u**3 - 2*u**2 + 4*u - 5. List the prime factors of z(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*n - 9, -2*n + 0*n + 21 = 5*s. Suppose -k = -s*k + 12. What is the least common multiple of 47\/9 - 6\/27 and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 30. Suppose -2*v - 3036 = -h*v. Suppose -2*c - v = -5*c + 5*p, 0 = 4*p + 12. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101\/3 - 33. Let f = 11 + -30.3. Let s = -19 - f. Which is the closest to 2\/9? (a) p (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 398 = y - 408, 5*t = 15. Does 45 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -i**8\/168 + 32*i**7\/105 - 11*i**6\/2 + 484*i**5\/15 + 1331*i**4\/12 - 56*i**2 - 2. Factor a(m).\nAnswer: -2*m*(m - 11)**3*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c - 54237 = -221613. List the prime factors of c.\nAnswer: 3, 11, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**2*w**3 + o**2*w + 15*o*w**2 + o - 12*w**4 - 2*w**3 wrt w.\nAnswer: -6*o**2 - 288*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1448381 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.045? (a) -5 (b) 3 (c) -4\/5 (d) 1922 (e) 6 (f) 2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**4\/12 - u**3\/6 + 71*u**2\/2 - 11*u. Is a(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-27) + 40\/(-18). Let y be (12 - (1 + 1)) + t. Solve -4*q + y + 8 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-117)\/(-36) - (-5)\/12.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 2*j + 3*z, -195 = -j - 4*z - 216 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2936*n**2 - 9665*n**2 + 1573*n**2 + 936*n**2 as w + r*n**2 + t*n and give r.\nAnswer: -10092","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7213 + -6718. Is 55 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 108, 3, -39, -4, 5 in ascending order.\nAnswer: -39, -4, 3, 4, 5, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 340?\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -17662.\nAnswer: 17662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2, -10789 in ascending order.\nAnswer: -10789, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9 + 15)*(-4)\/(-8). Let j be (-908)\/(-3) + (-6)\/9. Suppose -5*b - 3*y + j = 0, 3*y - 181 = -d*b + y. List the prime factors of b.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 511089.7ml in litres?\nAnswer: 511.0897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.5 (b) -1\/5 (c) -3.1 (d) -1\/3 (e) 3530\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 927767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -2.8. Let r be (-6)\/(-21) + 4\/(-14). Suppose -5*f - 4 = -f, r = -2*j - 4*f - 4. Which is the biggest value? (a) h (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44000 is divided by 228?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 8*q**2 + 4*q + 2. Let h be c(-7). Let y be 0\/(-1*2 + 1). Suppose -3*g + h - 2 = y. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -1. Let q = -42 - -154. Let j = q - 338\/3. Which is the closest to j? (a) -3 (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-242)*4\/(-6)*-6.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2158544 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3*((sqrt(125)*-2*-5)**2 + (sqrt(125) + 2 + 0)**2) + -2.\nAnswer: -37886 - 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*v + v - 7*v)*(-91*v - 32*v**2 + 91*v) to t*v**3 + p*v + g + x*v**2 and give t.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 7:06 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + 3 + 1 + sqrt(2736) - (sqrt(2736) - (sqrt(2736) + (sqrt(2736) + 3 + sqrt(2736)*1)**2)))*-5.\nAnswer: -54785 - 840*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 3*w + 6. Determine v(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 6*y + 3. Suppose -5*c + 7*c - 132 = 0. Let o be (-11)\/c - 74\/(-12). What is p(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, x: 3, l: 1, y: 6, w: 4, z: 4}. What is prob of picking 1 w and 1 x?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t = -15*t + 5. Suppose -55 = 2*b + 3*b. Let z = b + 7. Sort z, -2, t.\nAnswer: t, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 273, 547, 823, 1101, 1381?\n\"Answer: u**2 + 271*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2553, 3304, 5341, 9306, 15841?\nAnswer: 25588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**5 - 2*j**5 + 0*j**5 + (-8 + 8 + 4*j)*(-7*j**4 - 2*j**4 - 15*j**4) + j**5 + 0*j**5 - 7*j**5.\nAnswer: -103*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.7 + -2.4. Let d = 0.2 + -0.3. Let i be (-14)\/(-6) - 10\/5. What is the second biggest value in d, p, i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-28)\/(-49))\/(16\/16). Let a = -4.91 + -0.09. Let q = 8 + a. What is the closest to -0.3 in n, q, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (-72)\/(-2 - -1) - -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5755394*g**4 - 12*g**2 - 167040098*g.\nAnswer: 69064728*g**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -710, -192, 18, 8 in decreasing order.\nAnswer: 18, 8, -1, -192, -710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by -7.\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7, 21, 51, 103, 183, 297, 451?\n\"Answer: f**3 + 2*f**2 + f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 431*j - 21 = 3*u + 435*j, j + 18 = -5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 10:54 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 15*h**2 + 62*h - 47. Let c be b(16). List the prime factors of c + (0*(-4)\/24)\/(-4).\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 21 = -4*i - 4*n, 0 = 4*i + 3*n - 27. What is the remainder when (i - 1 - 1) + -1 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2159 = -4*u + b, 0*u = 3*u + 5*b - 1602. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -316*s**2*z**4 - 44*s**2*z - 5*z wrt z.\nAnswer: -3792*s**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5865 + -5862. What is the third biggest value in -2, t, -9, 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5196*q + 93*q**3 - 96*q**3 - 5196*q.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 2. Let c be o(3). Solve -4*q - c*a - 13 = 0, q + 5*a = -8 + 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 142*-42795\nAnswer: -6076890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 66688852 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.9 + -5. Let i = 10.4 - 11. Let o = i - -0.9. What is the nearest to g in -1\/4, -2, o?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 272977404?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 813*x**4 + 725*x - 1?\nAnswer: 9756*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*w**2 + 6*w**2 + 2*w**2)*(52*w - 17*w - 24*w) - w**3 - w**3 + 0*w**3 to y*w**3 + b*w + l*w**2 + r and give y.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27203 (base 9) to base 15.\nAnswer: 56b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4\/9, -5\/2, -10, 1187, 1\/10?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -138035012*n**4 + 5385585*n - 26 wrt n?\nAnswer: -1656420144*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 14. Let b be u(-8). Let w = -6 + b. Suppose -12*c + 3*c + 27 = w. Put -10, c, -1\/8 in decreasing order.\nAnswer: c, -1\/8, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -30*j. Let r(t) = 59*t. Give 11*a(w) + 6*r(w).\nAnswer: 24*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-22)*u*u*(u**(-31)*u*u)\/u assuming u is positive.\nAnswer: u**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(2*1\/(-9514)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000623702 rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3228 = 419*g - 1381 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 522457 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134095, 134100, 134105, 134110?\nAnswer: 134115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -1.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 144\/9 + 48\/(-6)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 234 and ((270\/24)\/(-5))\/((18\/40)\/(-9)).\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 11:51 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.2, -2\/41, -2\/13, 1.4, -3\/16, 0, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -1, 125, -0.11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 180 - 176. Is i > -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, 168, 4\/11, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 6*k**2 - 6*k + 6. Calculate n(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 12245294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -473709 + 473706.999845. Let l = 2 + z. What is l rounded to five decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 11:45 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15419*h**2 + 15402*h**2 - 30835*h**2.\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 3*a**2 + 4*a + 4. Let g be 3*(16\/(-6))\/(-8). Suppose -3*f + f = -3*p + g, 0 = 2*p - 6. Let o be m(f). Solve x - 6 + o = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2. Let k(j) = j**3 - 7*j**2 + 8*j - 8. Let q be k(6). Suppose 5607 = 3*h + q*h. Let v(u) = h - 801 - 57*u**2. Give b(v(t)).\nAnswer: 6498*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/6)\/(20\/24*(-18)\/60)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.1727m to kilometers.\nAnswer: 0.0481727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 + -46. Suppose 0 = 5*l - 2*n - 150, 2*n = 2*l - 70 + t. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 5*y, i - 11 - 14 = 5*y. Solve -4*w + 3 - 13 = -2*q, -i*w = -4*q + 8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 49*u - 236. Let c(y) = 2*y**2 + 13*y + 26. Give g(c(p)).\nAnswer: 98*p**2 + 637*p + 1038","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 11:42 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from utfmcujjuumuc.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 9*a**2 - 20*a + 90. Let d(n) = -n**2 - n. Let c(q) = 6*d(q) + k(q). List the prime factors of c(18).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, r: 3, j: 8, k: 3, t: 2, e: 1}. Give prob of sequence ekth.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1944 - -3804. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pie when three letters picked without replacement from pjnieejnnn?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) 0.5 (c) -6 (d) 13 (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39527 = -14*i + 7149. Suppose 4*w - 672 = -p - w, -5*p + i = -w. Is 39 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 3*f - 36, 2*f = x + 2*x - 14. Let c(k) = x - k - 6. Let u(i) = -9*i. What is u(c(t))?\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**4\/7 + 31*h**3\/7 - 293*h**2\/7 + 729*h\/7 - 468\/7 = 0.\nAnswer: -39, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.06 (b) 2 (c) 1 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231845737.\nAnswer: 37, 73, 85837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26.9 + 27. Which is the fourth biggest value? (a) x (b) 0 (c) 0.2 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/18)\/((-36)\/324). Suppose 4*g - 7*g = 4*p + 46, -d*g - 5*p = 60. Let q(v) = -v**3 - 9*v**2 + 9*v - 5. Calculate q(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 0.2, 4, 4\/23?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by 68?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 - 45 - -32 - -82.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 12 + 1248*d - 1209*d)*(2*d**3 - d**3 + d**3).\nAnswer: 78*d**4 + 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 80*m**2 + 14*m - 17. Suppose 0 = 3*y - 9 - 3. Is d(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-7\/6)\/n)*n*n*((n*n*n**(2\/21))\/n)\/n*n*(n**(-17)\/n)\/(n\/(n\/(n*n**1*n))))**(-26) assuming n is positive.\nAnswer: n**(8047\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123c (base 13) to base 2.\nAnswer: 101000011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 10*l**2 - l - 4. Let p be g(-10). Suppose -p = -4*t + 10. Solve -2*c = -t*c + 5*w, 0 = 5*w + 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g = 7529 + 11119. What are the prime factors of g?\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1167*a**2 - 329*a**2 - 319*a**2 - 202*a**2 - 317*a**2 - 11*a**3.\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*m = 274*m - 32 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6*2\/3)\/(-1). Suppose s*u - 3798 = 2*o + o, 0 = 3*u - o - 2846. Suppose -12*d + 16*d = u. List the prime factors of d.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhbhubbrdu. What is prob of sequence rbur?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -848 - -1643. Suppose -2*z + 161 = -v. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1753068938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -16780500 to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 279 + -142. Let g = z - 132. Solve 20 = -5*i + 3*t, -9*i - 20 = -4*i - g*t for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17450568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-117)*(-12)\/10?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, p: 8, b: 5}. What is prob of sequence pb?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/(-230))\/3)\/(8\/40).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - ((9 - -18) + -16 + 14).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -1, 273029, -1\/10 in ascending order.\nAnswer: -1, -1\/10, 3\/4, 273029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/4)*w)**(13\/4)*(w**(-4))**(3\/8) assuming w is positive.\nAnswer: w**(-11\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/403 (b) 165 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o - 8*o + o + 100*o**2 + 14*o to the form k + c*o + d*o**2 and give d.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(275) + sqrt(11) + 3 + -5)*-3.\nAnswer: -78*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1908 less than -0.07030231024?\nAnswer: -1908.07030231024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 7*l**4\/6 - l**3\/3 + 4*l**2 - 36*l. What are the prime factors of z(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 549*s + 11 = 560*s. Are 1\/780 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2995824 is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 414, 1654, 3710, 6576, 10246, 14714, 19974, 26020?\nAnswer: 32846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 4*h - 11. Let s = -570 + 6847\/12. Let w = s + -5\/4. What is the closest to h in w, -4, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -744778, -744768, -744758, -744748, -744738?\nAnswer: -744728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/3 (b) -4 (c) 43\/9 (d) -1 (e) -861\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 18*z - 8*z. Suppose 5*u + q - z = 0, -3*q - 11 = -5*u + 6. Let c be 1 - (1 + 0)\/(-1). Solve -j - c + u = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 8*s**2 - 2. Let u be k(8). Sort u, 1, -0.2 in descending order.\nAnswer: 1, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 3*d - 27 + 31 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101302 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 137 - 1763 = 0. Let k = u - 538. What is the least common multiple of 40 and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3395709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*w**2\/3 - 616*w\/3 - 1936\/3.\nAnswer: -(7*w + 44)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -2\/9, 2\/5, 38, -0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(((-490)\/(-1176))\/((-5)\/(-88)))\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*s**4 - 9*s**4 + 6*s**4)*(-3 + 1 - 5) - s**4 - 4*s**4 + 3*s**4 in the form m + c*s**4 + d*s**2 + u*s**3 + a*s and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 6)*(2*p**4 - 2*p**4 - 2*p**4) + 6*p**4 - 2*p**4 - 3*p**4 + (-1168 + 1168 + 52*p**3)*(-3*p + 6*p - 4*p).\nAnswer: -49*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**45)**(-1\/36)*k*k**(3\/25)*k\/((k*(k\/((k*(((k**33\/k)\/k)\/k)\/k)\/k*k)*k*k)\/k)\/k) assuming k is positive.\nAnswer: k**(2887\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-3*(-1)\/(-2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 124799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 2:37 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (448\/1568)\/(22\/14)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4724771312?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -7*z**6\/120 - z**4\/3 - 9*z**2. Find the second derivative of x(b) wrt b.\nAnswer: -42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 5*t = 40, -3*i - 25*t = -26*t - 30 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 3*i + 2. Let d be b(-3). Suppose d*z = -3*c + 20, -6*z + z + 76 = c. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = j - 0. Let a(v) = v**2 + 4*v + 84. Let z(n) = -n**2 - 5*n - 84. Let g(q) = j*z(q) + 5*a(q). Does 12 divide g(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 6*w**2 - w - 3. Let k be q(-6). Suppose 4*n + 69 = 5*h, -3*h - h + 42 = -2*n. Let a = -9 - n. Sort a, k, -1 in decreasing order.\nAnswer: k, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4198712302 to the power of 1\/5, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3816 to two decimal places.\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001982 rounded to six dps?\nAnswer: -0.000198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 785 + -771. Solve -4*z + q = 3*j, 5*z - 3 = 3*j + 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182145, 730845, 1645351, 2925669, 4571805, 6583765, 8961555, 11705181?\nAnswer: 14814649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tn when two letters picked without replacement from yyytnyn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 4*p - 6. Let w(t) = 2*t**3 - 42*t**2 - 42*t - 37. Let j be w(22). What are the prime factors of -154*(p + (4 - j)) - -3?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 154 + -142. Calculate the common denominator of (-164)\/90 - v\/(-90) and 23\/15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -153*p**2 - 1704. Let x(g) = g. Calculate x(o(z)).\nAnswer: -306*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -74, -77, -82, -89, -98?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1834 - -2627. List the prime factors of s.\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*t - 3, -4*t - 4*o = -4 + 8. Solve 5*r - 4*q - 18 = 10*r, t = 5*r - 5*q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*z + 18*z + 4*z - 5*z + 0*z + 6*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 306 + 510?\nAnswer: 1116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*r - 45*r + 304*r - 57*r - 43*r - 49*r - 53*r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-10))\/((-4)\/10). Let f(g) = g**2 - g + 1. Let v be f(-1). Solve -10 = -v*a - 5*m, -2*m + 4 = 5*a - z*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -12*l**3 + 2*l**2 - 8*l - 12. Let w be m(-1). Solve -z - 2*z + 2*v - 15 = 0, w = -2*z - v for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*sqrt(68)*-5 + (sqrt(68) - (sqrt(68) - ((sqrt(68) - (sqrt(68) + 1)) + 3))) + 1)*3)**2.\nAnswer: 4860*sqrt(17) + 138429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 1. Suppose 0 = k*b + 2*b. Let s be ((-3)\/(-2))\/(0 + (-2)\/(-4)). Is b greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sgrsgsgplsslslgps. Give prob of sequence psgs.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160512 and 1482?\nAnswer: 2086656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 84\/2*(11 + (-1022)\/84)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 3:44 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7581.693l?\nAnswer: 7581693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhssjjjh. What is prob of sequence ss?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 11*h = -12. Suppose -4*t + 15 = d - 3*t, -h*t = -20. Solve 0 = 5*z - d*z - 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8, -6, 16, 52, 96?\n\"Answer: -a**3 + 16*a**2 - 39*a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(48) + 3.\nAnswer: 3 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -37*s + 2 + 71*s - 30*s - 6*s - 4*s + 4*s + 2*s + 5*s - 5*s + 2*s - 1 + 1 + (-2*s - 1 + 1)*(0 + 0 + 2) + 2*s - 4*s + 0*s.\nAnswer: -4*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -193.\nAnswer: -96.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*(-9)\/((-243)\/(-9)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2590 + 2604. Suppose -2*j + 5*s = s - 18, 11 = j - 4*s. Calculate the highest common divisor of i and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 507.007 hours?\nAnswer: 1825225200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -0*t - 7*t. Let r be 1*(t + -2)*(-6)\/4. Let s(z) = -z**3 - 6*z**2 + 6*z + 3. Let y be s(-7). Solve -r = -4*g, 2*g + 2*g - y = -2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53308*m*s**4 + 2*m*s**2 + 85515*m with respect to s.\nAnswer: 213232*m*s**3 + 4*m*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 1 = 5*s. Suppose m + 4*l - 294 = 0, 4*m = 4*l - 234 + 1490. Suppose s*r - 4*r = -m. What is r rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.458 to 2 decimal places.\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3.727 (b) 2\/17 (c) -1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -92, -7, 206, 595, 1208, 2093, 3298, 4871?\n\"Answer: 8*o**3 + 16*o**2 - 19*o - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 - 3*i**2 + 6*i + 4*i**2. Let h be ((-16)\/3)\/4 - (-4)\/12. Let y(w) = w. What is h*s(q) + 6*y(q)?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -132*f**2 + 44751*f - 1072. What is s(339)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100194 by 55.\nAnswer: -100194\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -2 - 3) + 3 - -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8384 - 8379. Let a(y) = 3*y - 33. What is a(k)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1662 is divided by 139.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 27*u**2 + 80*u + 890. Let h be l(-30). Calculate the greatest common factor of 224 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u = -16*u - 2*d - 8, 0 = -4*u + 4*d + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)\/sqrt(64) - sqrt(3) - (sqrt(75) + 1)**2) + 5 - ((1*sqrt(27))\/sqrt(9) - (sqrt(3) + -2)*-2)) + 4.\nAnswer: -63 - 55*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 5 + 5)*(-2*a**3 + 3 - 3) + (-a**2 + a**2 + a**2)*(5303*a - 11647*a + 1697*a) as b*a**2 + s*a**3 + j*a + n and give s.\nAnswer: -4649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r**2 - 18*r + 2. Let w(h) = 2*h**2 - 3*h + 4. Let l be w(2). Let c be k(l). Solve -c*a + 29 - 13 = -5*o, 3*o + 4 = 4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -600*r - 22. Let i be u(-4). Let f = i + -1520. What are the prime factors of f?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9249 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -7*j**2 + 14*j - 4. What is n(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/4 and -0.01187 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (3 + -4) - 1) + (-269 - -279) - -31.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -i**5\/50 + i**4\/15 + 4*i**3\/15 - 8*i**2\/5 + 2*i. Determine x so that b(x) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4552 + -504?\nAnswer: -5156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -5*r - 0 + 70, d = 0. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 1173 + 174 = 0. What are the prime factors of a?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-18 + 3 + 11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 + 102 + 2*v + 50)*(-2 + 2*v**3 + 2)*(0 + 0 + v).\nAnswer: 4*v**5 + 352*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -962*y + 18591. Calculate s(20).\nAnswer: -649","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -314*x + 1 - 239*x - 4. Let b(y) = -44*y + 218. Let w be b(5). Is d(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -519 - -522. Suppose -p = k - 1094, -3*p + h*k + 1970 = -1300. What are the prime factors of p?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.85 to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2 - 23*r - 20. What is n(5)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3*k - 8*k**2 - 2*k**4 + 36*k**3 - 22*k**3 - 12*k**3 to the form y*k**4 + r*k**2 + z*k**3 + l + q*k and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -35565, -142262, -320091, -569058, -889169, -1280430?\n\"Answer: -f**3 - 35560*f**2 - 10*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = j + 24. Let g = -438267\/350620 - 2\/87655. Which is the nearest to -0.1? (a) g (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 495 + -477. Solve -4*h + 2*j = -v, -49 = -5*h - 5*j - 19 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2 + 2 = 0. Suppose -4*i + 12 = p, -217 = -5*x - 2*i - 2*i. Does 41 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 - 5*s**2 + 36*s.\nAnswer: -s*(s - 4)*(s + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**4\/12 - 5*i**3\/3 - 17*i**2\/2 + 5130*i. Determine o(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1002 - -2?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, -0.06, -15, -0.19, 1\/6, 8?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19150\/21 - 912. What is the closest to 3 in -1\/9, 4, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-61)\/(-4) + 8\/(-32) - 7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 286886 and 286886 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/1*(-574)\/4551*37.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/11610 and -113\/13545.\nAnswer: 81270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13544.68311 microseconds in weeks?\nAnswer: 0.000000022395309375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01835209 rounded to five decimal places?\nAnswer: -0.01835","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 21. Let i = s + 6. Let j = 7.6258 + -7.6258. What is the nearest to j in i, 1, 14\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**3 + 3814*h**2 - 2464*h + 101758. Calculate i(-1272).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 1. Let r(w) = w**3 - t - 5*w - 4 + 6*w**2 - 4*w. What is the lowest common multiple of 16 and r(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43262 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 15*o - 15 = 0. Put 26, 3, o in increasing order.\nAnswer: o, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1121932145?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.145 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -5*d + r - 6, 2*d + 4*r + 20 = 0. Is d greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 53940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/396320 and -73\/74310.\nAnswer: 1188960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -199062 - -0.2.\nAnswer: -199061.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, 17, 5, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/((-13860)\/98)*-3*(-4)\/14?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 228678168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 200077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13432367359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 40. Calculate the remainder when 32\/6*81\/6 is divided by (-5 - 72\/f) + 78\/4.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -651*z - 1493. Determine b(-2).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3695?\nAnswer: 5, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 0*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65 - -92. Is 21 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1518 + -640. Let o = h - 86. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1834, 3701, 5578, 7471, 9386, 11329?\nAnswer: 13306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddrrmqrddm. Give prob of sequence qmdr.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/7))**4\/(x\/(x\/((x\/x**0)\/x)))**15*((((x*x**(1\/2))\/x)\/x)\/(x\/x**(-3\/4)))**(-49) assuming x is positive.\nAnswer: x**(3119\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 499 and 1628237?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/(-2)*(-10)\/(-15). Solve t + 11 = 3*f, -11 = l*t - 5*f + f for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -24771?\nAnswer: -24768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*r**3 - 34*r**2 - 220*r**3 - 146*r**3 + 7*r**2 + 10 - 41 wrt r?\nAnswer: -2448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, -93, -11.\nAnswer: -93, -11, -6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a kilogram in grams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(152) + -6*(2*sqrt(152) + sqrt(152)))\/(sqrt(8) + sqrt(72)*-4 - sqrt(8)).\nAnswer: 17*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 211 - 57 = 0. Let d = a + -61. Is d equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*s = -19, -v - 2*s + 4*s - 15 = 0. Let r(a) = a**2 + 5*a - 1. Let i be r(v). Let m be 10\/i + 24\/13. Solve -m*k = k - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1196 = 1243522*y - 1243470*y for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.16 or -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 + w. Let k(b) = b - 1. Let u(z) = g(z) + 5*k(z). Let d be u(7). Suppose 0*h = -5*h + d. What is the greatest common divisor of h and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*j = 54*j + 8*j - 1156 for j.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3*j = 6*j - 3, 3*l = 2*j + 1. Suppose 8*q = l*q + 60. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 40*i + 316 - 36 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 1760*b**2 + 3 - 18*b + 1 - 1749*b**2 + 11. Let u = -44 - -77. Calculate the remainder when a(8) is divided by u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - v + 163. Give o(0).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 115 + -221. Let x = b + 111. Let m be 6*(-1 - 3\/(-9)). Let a(j) = -3*j - 5. Let y(w) = -4*w - 6. Give m*y(f) + x*a(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = a - 10 - 4, 2*a + 4*o + 4 = 0. Let c(h) = 2 - 1 + h - a - 5*h**2 + h**3. Let t be c(5). Is t at least -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + -1 - (1 - 563). Suppose -3*q + i = 9. Let p = -21341 - -21415. Calculate the highest common factor of q and p.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.35, -21?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3509 + -1281. List the prime factors of g.\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4 - 6*f - 3 + 1. Let j(y) = -149*y + 10574. Let c be j(71). Let z(i) = -7*i + 2. Give c*z(d) + 6*h(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 7*d + 24317. Is q(0) 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 24771 and 1242.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3282 = v - 3762. Suppose 22*q - 3472 = v. List the prime factors of q.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -402?\nAnswer: -407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1245 divide 5919975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -11000110011?\nAnswer: -11000110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 + 44.7. Let h = 1 + g. What is h rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -2\/9 (c) 17 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 53*n**2 + 2*n - 1\/40*n**6 + 3\/5*n**5 + 0 + 0*n**3 + 0*n**4. Factor f(h).\nAnswer: -3*h**2*(h - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1716)\/(-168) - 2\/(-7). Let w = -155\/14 + z. Which is greater: w or 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/(-52) + -1 - 55\/(-110)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 - 4)*(-k**2 - k + k) + k - k - k**2)*(2*k - 2 + 2).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*z + 0*z = 0, -3*t + 2*z = 18. Let m(a) be the second derivative of a**4\/12 + a**3\/3 - 5*a**2\/2 + 3000*a. Give m(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6*h**3 - h**2 + 4*h - 3. Let a be n(2). Suppose 3*t + 32 = -4*b, 5*b - 4*t + a = -22. Let v = b - -15. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 7. Let h be f(0). Let w(x) = -2*x**2 + 8*x**2 + 10 + 8*x - x**2 - x**3 + x**2. Is w(h) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 15*p + 129. Let c be (-54 + 57)*(-3)\/((-3)\/(-7)). Determine l(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-4032)*-21)\/(2\/744)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1712, -49.69, -2.\nAnswer: -49.69, -2, 1712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -46*z - 89. Let c be g(-2). Let x(b) be the first derivative of -1\/7*b**c - 12\/7*b + 6\/7*b**2 + 7. Factor x(f).\nAnswer: -3*(f - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/28656 and -53\/2388?\nAnswer: 28656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -669 = -14*x + 269. Does 67 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**2 + 97*z - 131. Calculate n(31).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(-5) - 3) + 82812\/33990\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 155?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 - 4*h**3 + 198*h**2 - 206*h**2 + 1199*h**2 + 35*h**2.\nAnswer: -2*h**3 + 1226*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/44 and 3 - 7 - (-477)\/60.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*v**3 - 2*v**3 + 0*v**3.\nAnswer: -97*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 5*h + 7 + 18, 16 = 5*w + 3*h. Suppose -w*r = c - 69, -3*r + 1 = -5. List the prime factors of 2\/(-3) + c\/3.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 211848, 423684, 635558, 847488, 1059492, 1271588, 1483794?\n\"Answer: 3*q**3 + q**2 + 211812*q + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2814 - 3?\nAnswer: 2811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21902 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**5 + 2*m**5 - m**5 + (-m**5 + 3*m**5 - 4*m**5)*(3 - 1 - 4) - 2*m**5 - 2*m + 2*m.\nAnswer: 4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + -16. What is the smallest common multiple of j and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 12*t + 9 = 0, 80711 = 5*f + 4*t. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 43 = 21. Suppose 37 = 2*m + 5*f, -56 = -m + 8*f - 3*f. Calculate the remainder when m is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-20)\/(-9)) + 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21138313*m - 15161302.\nAnswer: -21138313","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 - 17*a**2 - 10*a - 27. Determine w(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 0.4, 604\/5, -23?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3073199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -5908*b**2 + 7807. Let h(c) = c. Give h(p(m)).\nAnswer: -11816*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-35)*80\/(-32)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 22 + 5*p + 0*p + 29 - 15 to the form o + m*p and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 14*y**2 - 2*y - 20. Let o be p(-14). Let a(w) = -w**2 + 10*w - 4. Let k be a(o). Suppose 2*t - 4*t + k = 0. Solve 3*n + 0 + t = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -z - 0*z. Let v = z - 7. Let i(l) = -4*l**2 - l + 2. Let d(w) = w**2 + w - 1. Let b(j) = 5*d(j) + i(j). Calculate b(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4175404506?\nAnswer: 2, 3, 7, 13, 73, 34919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/7991 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 598*q**3 - 598*q**3 + 32*q**5 + (0*q**4 + 2*q**4 + 0*q**4)*(-q + 5*q - 2*q).\nAnswer: 36*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/698 and 2\/5933?\nAnswer: 11866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13552 and 132?\nAnswer: 40656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 11. Suppose 0 = 2*k - p - 58, m*k - 34 = 2*k - 5*p. Calculate the highest common factor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60 - -21 - (-23 - -47 - 37).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -23*c - 46. Let x(y) = -9*y - 16. Let b(h) = -2*r(h) + 7*x(h). Suppose -2*p + 2 = 16. List the prime factors of b(p).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56412750 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: Round 4710.4 to the nearest one hundred.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3971*d - 4801*d - 16600 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 347 and 21167?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.62 + 3.38. Is c greater than or equal to 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 0. Let w = 6.95 - 0.65. Let j = w + -6.4. Which is the nearest to j? (a) k (b) 3\/2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/70*(5 + (-2 - -1)) + (-59616596)\/(-1294405).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11 (b) -286 (c) 0 (d) 2\/19 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -345 by 2599585.\nAnswer: -69\/519917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5211360 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2670, 2783, 2896, 3009?\n\"Answer: 113*u + 2557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 210331 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10404 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 28451 divided by -23\nAnswer: -1237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/14 - 5\/7. Which is the smallest value? (a) -3 (b) -4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1165 and 105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i + 2. Let t be r(-6). Let v = t - 5. Let z(g) = -g + 12. Let w be z(0). Solve -v*j + 0*j = w for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 391140600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + 4. Suppose 5*u = -3*t - t + 11, -3*u = -5*t - f. Which is the third biggest value? (a) 2 (b) t (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72292.39 kilometers in centimeters?\nAnswer: 7229239000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2206157, -2206134, -2206107, -2206070, -2206017, -2205942, -2205839, -2205702?\n\"Answer: x**3 - 4*x**2 + 28*x - 2206182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5752.\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 4, l: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*v = -0*v - 11, -v = 3*f - 22. Let l = 14 - f. Solve l*p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*f + 4. Which is the nearest to 1? (a) 1 (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 797, 795, 793?\n\"Answer: -2*o + 799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 165 - 163. What is the third smallest value in 19, c, 0.3, 3\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -248159 and -10220.\nAnswer: -258379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/30 - (-1856)\/(-320))\/((-1)\/4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t - 1. Let o(d) = -2*d**2 + 6*d - 2. Let i(j) = o(j) + 2*u(j). Let x be i(9). Let b = x + 173. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 5*d - 128 + 23, 5*d = 3*t + 85. Let l be (-8)\/d*55*5. What is l rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 1090 = -54. Is ((-26)\/8)\/(1\/n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-70)\/(-12))\/((-996)\/(-497) - 2). Let b = -4420\/3 + n. Calculate the common denominator of 41\/(-5) + 42\/(-70) and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8964853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 126.37344 - -0.1918747?\nAnswer: 126.5653147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 188 - 3. Suppose s + x = 2*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -602 * -592.1.\nAnswer: 356444.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*f**3*s*y**2 - 108*f**3*y**2 - 66*f**3 - 5*f*s wrt y.\nAnswer: 26*f**3*s*y - 216*f**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1117210368 divided by 11637608.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -4*n - 3*q, 2*n + 2*n = 2*q + 60. Calculate the highest common divisor of 64 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75466?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 + -29. Let b be -3*4\/(-6)*k. Solve 14 = -3*p - 2*r - 5, p + 5*r = -b for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by 72.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*4 - 165\/55. Let m(x) = 2*x - 7. Let w be m(6). Suppose 2*p + 6 = g, -w*p = -5*g - 0*p + 25. Solve -4 = -g*u - i*y, -3*u - 2*y - 2 - 2 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 315*l**3 - 666*l**2 + l + 144. Give r(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11180 and -2.\nAnswer: 22360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-1) + -4 - -2. Let k = 37.06 - -3.14. Let s = k - 59.2. Is t < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 1. Let g = 16 + -10. Let h = n + g. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 18. Suppose -3*x + u + 10 = 0. Suppose x*i - 2031 = 2*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 51 - 45 = -5*c, -5*c - s + 93 = 0. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*f + 28. Let z be -1 - -7 - 2 - f. Solve 0 = 3*r - r - z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 s when two letters picked without replacement from rrrxcpxxsrc?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d*f**3*z + 96*d*f**3 + 5*d*f**2*z + 6*d*f*z - 2*d*f + 88*d*z + 2*d - z wrt f.\nAnswer: 12*d*f*z + 576*d*f + 10*d*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -686\/19 or -36?\nAnswer: -686\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 3)*(-82*w + 93*w + 2 + 0) in the form q*w + s and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-70)\/30)*((-24)\/(-4))\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.4 + -19. Let v = 132174.40007 - 132176. Let a = y - v. What is a rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*85\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.44 + -0.44. Let f = g - 0.12. Let k = -0.01 - -0.21. What is the nearest to k in 3\/2, f, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*y + 77*y = 3*h - 4 + 14, h = -y - 4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 15 in decreasing order.\nAnswer: 15, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5161 (base 10) in base 16?\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4\/9)*u*u**3)\/(u**(2\/21)*u*u\/u**(-8\/7)*u) assuming u is positive.\nAnswer: u**(-43\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m + 45. Let a be t(-17). Let i(x) = -4*x + 50. Let q be i(a). Solve 2 = -0*p - 2*p + 4*v, -4*p - 2*v + q = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/362610 and 28\/181305.\nAnswer: 362610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99212.\nAnswer: 2, 17, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -t + 3*u, 8*t = 9*t + 5*u - 23. Suppose 4*f + 333 = 5*r - 135, 0 = -3*f - 6. Calculate the greatest common divisor of t and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40091 and 6529715?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (204*g**2 - 59*g - 55*g + 113*g)*(4*g - 6*g + g) in the form u*g + o*g**3 + j*g**2 + c and give o.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 332056176 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75346, -75345, -75344?\nAnswer: -75343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -632942*y. Let p(k) = -k**2. What is a(p(f))?\nAnswer: 632942*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 368175651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12406 - 5?\nAnswer: -12410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 4:46 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/(t*t\/(t\/t**(-9)))*t)\/t)\/t**(5\/2))**(-29)\/((((t*t*t\/(t*t**(-4\/7)\/t*t))\/t*t)\/t*t*t*t**(3\/7))\/(((t*t\/t**1)\/t)\/t*t)**(-17)) assuming t is positive.\nAnswer: t**(-443\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/669 and 149\/737034.\nAnswer: 164358582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 13*m**5\/20 + 5*m**2\/2 + 24*m. Differentiate a(i) wrt i.\nAnswer: 39*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -21. Let h = z - -22. What is the nearest to 1 in h, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*41.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g + 2 + 4*g + 8*g**2 - 7*g**2. Let j be z(0). Differentiate i**j + 2 - 2*i**2 + 2*i**2 with respect to i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17 - -1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + k**2 + 2*k + 2. Suppose 0 = -6*p + 5*p - 3. List the prime factors of z(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 148\/5 - 22\/(-55). Let y(v) = v**3 - v**2 + 75. Let z be y(0). Calculate the greatest common divisor of z and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 1 + -78 + 49 + 30\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3020 is divided by 935?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 348409?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 z, 1 t, and 1 v when four letters picked without replacement from {v: 1, e: 1, t: 2, z: 1}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**3\/4 + 812157*z**2\/2 + 38985507*z\/4 - 65787633\/2 = 0 for z.\nAnswer: -27, 3, 541462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -11 + 36. Let t(s) = -s**2 + 4. Let j be t(0). Find the second derivative of j*g - 2 + 2 + g**n - g wrt g.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 d, and 1 e when three letters picked without replacement from mmdmzoeddkedzdd.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**3 - 3*c**3 + 2*c**4)*(-2*c + 2*c + 2*c) + (4*c**4 - 2*c**4 - 6*c**4)*(-2*c + 3*c - 2*c) + 11*c**5 + 3*c**5 - 5*c**5.\nAnswer: 17*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 42*z**3 + 1403 wrt z?\nAnswer: 126*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6423672 by -1.\nAnswer: -6423672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(-2 - 2 - 2)*(-2 + 2 + 2)*(9*s - 7*s - s**2 + 2 - 8).\nAnswer: 24*s**2 - 48*s + 144","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 1\/3 (c) -0.01 (d) -5 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 15. Find the third derivative of 9 - 15 - r*y**3 + y**2 + 6 wrt y.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + sqrt(153) + sqrt(153) + (6*(sqrt(153) + -2*sqrt(153)) - sqrt(153)) - sqrt(153))*1)\/(-2*sqrt(27)\/(sqrt(3)*1)).\nAnswer: 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 2*y**4\/3 + 5*y**3\/6 + 3*y**2\/2 + y. What is the remainder when r(-3) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*v + 147*v - 6931 = 0. What is the remainder when v is divided by 114?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - -2 - (-1 - 2)) + 4. Let m(x) = -x**3 + 4*x**2 + 2*x + 15. Let p be m(t). Solve 6*f - 4*z = 4*f + 14, p = -f + z + 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 to the power of 1\/3, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*k + 20 = -3*v - 69*k, 4*v + 3*k = -18 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0.3 (c) -1 (d) -90\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2556760097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -6*y**5\/5 + 81*y**4\/8 + 39*y**3\/2 + 6*y**2 + 59. Solve b(l) = 0 for l.\nAnswer: -1, -1\/4, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y - 5. Let f be (-1)\/2 - 121\/22. What is the units digit of o(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 281550411?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 w, and 1 a when three letters picked without replacement from awwmaaawwammawmwap?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11621437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/30)\/((-4)\/10). Let c be 96\/(-1 + (-27)\/8). Let y = c + 148\/7. Sort y, -2\/11, u in ascending order.\nAnswer: y, u, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 6. Let v be -2 - 0\/i - (2 - 9). Suppose 3*m - v*o = -13, 4*m + m = 5*o - 5. Solve -m = l + w + 3, 5*w - 15 = 5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39760772 is divided by 196.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + 1)*-1*-2. Let a = r + -3. What is the third derivative of l**a - l**3 - 4*l**2 - l**4 wrt l?\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2584058146 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i + 109. Let p be x(5). Let j = p + -82. Let r(s) = s + 4. Calculate the remainder when r(0) is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3968?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 6:56 PM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**3 - 1 + 3 + 4*s**3 - 7 + 6 + 218*s**2 in the form k + h*s + l*s**3 + n*s**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7778536?\nAnswer: 2, 653, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -228 - -225. Suppose c = 1 - 0. What is the closest to c in j, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16796 + 16963. Which is the closest to 1\/13? (a) p (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -11*t. Let i be w(-5). Let c = 273\/5 - i. Let x be ((-2)\/(-6))\/((-4)\/(-6)). What is the nearest to x in c, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 698 divided by -698.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**8\/16800 - k**7\/1575 + k**6\/360 - k**5\/150 - k**4\/4 - 3*k**2. Let b(a) be the second derivative of u(a). Factor b(p).\nAnswer: 2*(p - 2)*(p - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + t**2 - 4)*(70*t - 386*t + 1636*t) + t**3 + t**3 + 0*t**3 in the form s*t**2 + i*t + y*t**3 + g and give y.\nAnswer: 1322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 3*h + w, 0*h + 4*h - 17 = 5*w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2. Let i(x) be the second derivative of -10*x + 0 + 1\/3*x**3 + 0*x**2. Give h(i(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of m**4\/8 - m**3\/3 - 5*m**2. Let a(g) = g**3 + 8*g**2 - g - 3. Let p be a(-8). Let d = -3 + p. Give r(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q**2. Let g(l) = 7*l + 5. Let b(t) = -8*t - 6. Let y(h) = -5*b(h) - 6*g(h). Determine k(y(v)).\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10223 (base 5) to base 12.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**5 - 11878125*p**4 + 19956067*p wrt p.\nAnswer: -20*p**3 - 142537500*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 664.516314 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12110120112002 (base 3) to base 9.\nAnswer: -5416462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-171)\/(-6) - (1 - 4\/8). Let o be s\/16*1*-8. Let c(d) = -d**3 - d**2 - 11*d + 3. Is c(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + -11. Let r = q + 60. Does 2 divide (8\/10)\/(r\/585)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 3*m - 16. Let n be (-64)\/(-5) - 4\/m. Calculate the greatest common factor of n and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 12*o + 18. Is u(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 574320136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1c (base 13) to base 11\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 688740523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = m - j - 128, -m - 2*m - 338*j = -343*j - 160 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*v + 407, 0 = -z + v + 114 + 82. Suppose 2*o + o + 117 = 0. Let g = o - z. Round g to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 31\/2 of a millimeter?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l = 17*l. Solve s - 16 = 3*a, l*s - 8 = 5*a + 3*s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 11*p**5\/30 + 7*p**3\/6 + 2*p**2 + 1. Let o(g) be the second derivative of c(g). Find the first derivative of o(n) wrt n.\nAnswer: 44*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1486624 divided by -743312.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkkc when four letters picked without replacement from kkqcqkqcqk?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64 + 70. Solve 2*r + 4*w + 12 = 0, 2*r + 3 = w + f for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 - (54 - 61)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 44622314 times 5\nAnswer: 223111570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c*r**2*t + 2*c*r**2 + 116*c*r + 3*r**2 + 598*r*t**4 wrt t?\nAnswer: 2*c*r**2 + 2392*r*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**2 + 30*n + 10. Let t(g) = g**2 + 15*g + 4. Let z(h) = -5*t(h) + 2*v(h). Solve z(w) = 0.\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -8.64, -0.2, 1\/6, -0.4, -9\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.282 + 283.9\nAnswer: 283.618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**8\/48 - 2*n**5\/15 + 3*n**2. Find the third derivative of o(m) wrt m.\nAnswer: 420*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10585 is divided by 78?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 95 and 2013125?\nAnswer: 38249375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3768? (a) -2 (b) 0.2 (c) -0.022 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22.757 - 21.187. Which is smaller: 2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -134526, -269085, -403644, -538203, -672762?\n\"Answer: -134559*g + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n - 12*n - 3*k = -12*n - 248, 4*k = 3*n - 112 + 11 for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 - 12*m - 5. Let t be x(-6). Let u = t + 20. Suppose 0 = 14*k - u*k + 129. Is 15 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 11.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 + 48*d**2 + 108*d.\nAnswer: 4*d*(d + 3)*(d + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b. Let o(d) = 7*d**2. Calculate o(i(n)).\nAnswer: 175*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4497650 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 3*d + 5 = 8*d, 0 = i - 7*d + 7 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (4 + 1 - 9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1043332 + -3?\nAnswer: 1043326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 350 + -348. Suppose 0 = -2*h + 28 - 26, -i*h - 8 = 2*j. Let n(q) = q**3 + 2*q - 2 - q - 4*q + 5*q**2. Determine n(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 12 = -2*s. Let l be 10*(34\/(-16) - -2). Sort l, s, -0.4.\nAnswer: s, l, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-55)\/(-22))\/(((-3)\/3)\/((-180)\/(-18))).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 2*z - 2*z)*(2 - 2 + 1) + 0 + 0 - 2*z + 3*z + 33 - 33.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9.49 bigger than -330\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 27\/(-72) - (-10)\/(-16) - -3. What is the closest to s in -27, -3\/4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/50 and -101\/40?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -66\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -6*j + 20. Suppose 3*i + j = -3*q + i, 2*i + 18 = 4*q. Let t be (137 - 6)\/((-2)\/q). Round t to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*y + 38 = 0, 0 = 3*t - t - 5*y - 24. Let v = -13 + 26. Let o = v - t. What is the greatest common divisor of o and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1299727126 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -976846 times 5.4?\nAnswer: -5274968.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75976, 151957, 227938, 303919?\nAnswer: 379900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -5 - (-12 - (69 + -126)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12683971 and 1541.\nAnswer: 1541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -10 + 2. Let s = w - -7. Solve -2*l - 15 = -s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 + 66. Suppose 0 = -0*c + 2*c - g. Suppose c = m - 0*m. Is m even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6805580 divided by -5\nAnswer: -1361116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/69938 and 71\/3388?\nAnswer: 979132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l + 3*l + 12 - 19 + 4*l. What is the tens digit of x(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -14 + 90*a + 7*a + 28*a. Is o(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14134 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 441507?\nAnswer: -14\/441507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-5)\/(-20)*196\/(-1470)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 8*n**2 + 10*n - 8. Let s be k(9). Suppose -3*c - s = -10. Find the second derivative of 3*f**2 + c*f + 4*f**3 - 3*f**2 wrt f.\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 1 + 1. Suppose -5 = -2*o - h. Suppose 0 = -5*c - 7*p + 4*p + 220, 149 = 4*c - 3*p. Solve 0 = 5*u - o*n + 30, 0 = 4*u + n - 6*n + c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 5. Let r = j - 0. Suppose -2*g + r*w - 3*w + 50 = 0, 0 = -5*g + 5*w + 75. List the prime factors of g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2731*d + 2741*d - 90 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(150) - (sqrt(150) - (sqrt(150) + sqrt(150)*1)) - sqrt(150)).\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.46014 - 0.07.\nAnswer: -6.53014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.98954 seconds in microseconds?\nAnswer: 38989540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (816\/(-1904))\/((2\/(-4))\/((-1134)\/(-36)))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(72)\/sqrt(4)*5)**2.\nAnswer: 2250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4612?\nAnswer: 2, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**9\/56 + 41*c**5\/60 + 14*c**2. Find the third derivative of l(r) wrt r.\nAnswer: 1080*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -878 - 3098 = 8*w. Which is greater: w or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -6*f - 1. What is the remainder when 3\/(-12) + (-1)\/((-28)\/5467) is divided by g(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(10\/8)\/1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3084 is divided by 255.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 3 + 743*t - 7.\nAnswer: 743*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1\/7))\/(p\/(((p*p**6)\/p)\/p)))\/(p**0*p**(2\/5)\/p*p) assuming p is positive.\nAnswer: p**(156\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 8*g - 168 = g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 a when three letters picked without replacement from yavwkmwyk.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - k**2 - k + 3*k + 101640*k**3 - 101711*k**3 as a*k**3 + m + y*k**2 + x*k and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a factor of 20074159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*c**3 - 32*c**2 - 60*c.\nAnswer: 4*c*(c + 1)*(7*c - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 24. Let b(w) = -w**2 + 7*w + 4. Let f be b(h). Suppose m + 1 = 4*c - 58, -5*c + 60 = -f*m. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -73? (a) -8714 (b) -1 (c) -5 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3107 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(1029) + sqrt(21))*6)\/sqrt(7))**2.\nAnswer: 6911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-680)\/(-12) - 8\/(-24) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 87.9 + -83. Let q = a - 0.9. Put -0.1, -2, q in descending order.\nAnswer: q, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 - 36 + 260*p + 92 - 277*p.\nAnswer: -17*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -4, -54 in decreasing order.\nAnswer: 2, 0, -4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 times -32?\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 - 3*l. Let v be d(-2). Let r be 13\/(-18) + (-1)\/v. Let a be (-33)\/24 - 33\/(-88). Which is smaller: r or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j**2 + j**2 + 0*j**2)*(-47*j**2 - 85*j**2 - 92*j**2) to b + c*j + k*j**2 + y*j**4 + m*j**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 110593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -902 or -905?\nAnswer: -902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.98, 0.4, -0.3, -226, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-8139\nAnswer: 813.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.16 in -1, -6, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 7*g**2 + 2*g + 2. Let i(n) = n**2. Suppose -c + 3 = u, 12*c = -2*u + 8*c + 10. Calculate u*v(k) - 6*i(k).\nAnswer: k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/1)\/(1\/3). Let o(n) = 3*n**2 - 5*n + 5. Let z(f) = -f**2 + 2*f - 2. Let v(i) = 3*o(i) + 8*z(i). Give v(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71*g*r**2 + 3*g + 236*r**3 - 224*r wrt r?\nAnswer: -142*g + 1416*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25401 to the power of 1\/2, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 10*u**2 + 6*u - 44. What is the remainder when v(-7) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 - 17. Let x = 16 - i. Is 7 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3606141 litres in millilitres?\nAnswer: 360.6141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-1) + -2*290\/180?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o**3 - 2*o + 3 + 2*o**3 + 5*o**2 - 9*o**2 - 4*o**3. Give y(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 298415942?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 9:32 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 4*t - t)*(-t**4 - 2*t**4 + 2*t**4) - 1 + t**5 + 1 + 4*t + t**5 - 4*t + 3*t**5 + 0*t**5 - 2*t**5 + (-6*t**4 - 9*t**4 - 19*t**4)*(1 - 1 + 2*t).\nAnswer: -63*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 3 + 26)*(-3*u + 3*u - 4*u)*(0*u - 2*u + u + (4 + 0 - 2)*(-u - u + 3*u) - 34*u + 209 - 209).\nAnswer: 4092*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.979906765 rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16565 is divided by 170?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.096388 rounded to 3 dps?\nAnswer: 3.096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39712 and 18508274.\nAnswer: 2482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 11:50 PM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omcccumgmmmmaacc. What is prob of sequence mg?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5430519 to the nearest integer?\nAnswer: 2330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 62*x**2 - 21 - 12 + 108*x**3 - 12*x**5 - 3*x**4 - 3 - 156*x - 83*x**2 = 0. Calculate x.\nAnswer: -3, -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 5. Suppose m*t - 50 = t. Let z = t - 8. Solve -2*y + z*a - 4 = -4*y, y = 3*a - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1427227\/50 - 28546. Calculate the common denominator of n and -73\/10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 660 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 47.9305 millilitres?\nAnswer: 0.0479305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 8:05 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4489*u**3 + 570237*u**2 + 17019*u + 127 = 0. What is u?\nAnswer: -127, -1\/67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 16) to base 5.\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 217*4*(-2)\/(-28) and 18.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 7*n**2 - 9*n + 11. Let d(i) = -10*i**2 + 14*i - 16. Let l(q) = -5*d(q) - 7*j(q). What is l(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-48)\/168 - (-60)\/14. Solve 3*p + 4 = 4*p, -h*q = 5*p - 8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -1288*s + 15828. Calculate v(12).\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - g**2 - g. Let v(h) = -3*h**3 + 3*h**2 - 3*h - 5. Let y(o) = v(o) - 2*w(o). Let n be y(4). What are the prime factors of 2\/n - 76\/(-28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -68 (base 15) to base 16.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 69) + 76 - -51.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8515692 and 1215?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-9) + ((-38)\/(-3))\/(-19). Let j(h) = -3*h**3 - 8*h**2 - 2*h + 1. What is j(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 119.16199 to 1 dp.\nAnswer: 119.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 11*j + 8. Let h = 73 + -63. Let c be r(h). Calculate the lowest common multiple of c*(-5)\/10 - -11 and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 43*w + 1247. Let b be j(-29). Solve -18*k + 0*k - 54 = b for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 21 = 3. Let u(f) = 4*f**3 + 6*f + 6. Let s(l) = -3*l**3 - 5*l - 5. What is j*s(i) - 5*u(i)?\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 31*b**2 - 298*b - 875. Let q be h(-3). Calculate the highest common divisor of q and 22499.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*x + 2445 + 2037 = -36*x for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 532 and 697585?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {e: 1, m: 5, r: 7}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, o: 2, t: 1}. Give prob of sequence xt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -c83?\nAnswer: -c87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 18 + 4. Let g(q) = q**2 - 12*q + 10. Let a be g(n). What is the third smallest value in 4, a, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38852493*o**2 + 3*o - 4629472 wrt o?\nAnswer: -77704986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 0)*(-2752 + 2752 + 15*a) to the form o + z*a and give z.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*u**3 + 5*u**3 + 8*u**3.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3 - 2*t + 3*t - 2*t + 12. Let z be q(7). Suppose 2*x = z + 2. Solve 0 = -u + x*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13143*138.12\nAnswer: 1815311.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -5, -154*v + 159*v - 14*g = -14 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x = -19*x - 4, 0 = -5*n - 4*x + 114. Let v(i) = -i**3 + i**2 + i + 91. Let u be v(0). What is the highest common divisor of n and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-4) + 3 + (-81)\/12. Put -2\/5, 0.4, z, 3\/4 in ascending order.\nAnswer: z, -2\/5, 0.4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4056, -11538, -24002, -41442, -63852, -91226, -123558, -160842?\n\"Answer: z**3 - 2497*z**2 + 2*z - 1562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1928 and 169693457681?\nAnswer: 169693457681.1928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*o - 6354 = 0, -g + 1971 = 5*o - 136. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 0*a - a**2 - 1 + 0*a. Let u(z) = z**3 + 7*z**2 - 8*z. Let j be u(-8). Let h(v) = -v - 1. Let c be h(j). Let m(o) = o + 1. Determine c*m(p) - 2*l(p).\nAnswer: 2*p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6381.2 * -16.\nAnswer: -102099.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 19*n + 23. Let j(r) = 28*r + 35. Let o(i) = 7*f(i) - 5*j(i). Differentiate o(z) with respect to z.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -21. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2\/13, 1, -338?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 100\/(-5) - (-13 - (-78)\/(-10))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 831141 by 2979.\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10168 or 11?\nAnswer: -10168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2. Suppose h - 2*h = 16. Let x(c) = -10*c. Let j be 3\/(-2)*6\/(-3). Let b(y) = -2*y. Let o(u) = h*b(u) + j*x(u). Determine o(z(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 28\/13 (b) -0.5 (c) 0 (d) -1 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5774 * 254465.\nAnswer: 1469280910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -18*o**2 - 256*o - 752. Calculate c(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**4\/3 + 10*o**3\/3 = 0?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, t: 10}. What is prob of picking 2 g and 2 t?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3085*v**4 + v**3 - 9*v**2 - 2*v - 8622818 wrt v?\nAnswer: 12340*v**3 + 3*v**2 - 18*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1612, -3224, -4836, -6448?\n\"Answer: -1612*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1880\/4935*6\/8)\/((-10)\/(-7))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1587.2 and -4.9?\nAnswer: 7777.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 - u**2 + 14*u**3 + 52*u**2 - 5*u**3.\nAnswer: 11*u**3 + 51*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 3*m - 714. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -34, -49, -62, -73, -82, -89?\n\"Answer: m**2 - 18*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*w\/w**(5\/4))*w**(-4\/11) assuming w is positive.\nAnswer: w**(-5\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29419 is divided by 1450?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.2898*-2.04\nAnswer: -0.591192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/16*(-40)\/(-30).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 4770.\nAnswer: 11\/4770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s*s*s*s\/(((((s\/s**1)\/s)\/s)\/s)\/s*s)*s**5)\/(s**(-8)\/(s*s*s*s**(-2\/21))))**(-12) assuming s is positive.\nAnswer: s**(-2092\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 11:07 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59861.\nAnswer: 31, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -519*t - 607*t + 105*t + (2*t + 2*t - 6*t)*(-3 + 1 + 4).\nAnswer: -1025*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -190, -729, -1626, -2881, -4494?\nAnswer: -6465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + v - 2*v)*(0*v**3 + 4*v**3 - 3*v**3) - 2*v**4 - 2*v**4 - 3*v**4 + (0 + 0 + 3*v)*(-61*v**3 + 31*v**3 + 42*v**3).\nAnswer: 28*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-222)\/(-185)*15\/27)\/(3\/1)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 > 361\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -182.041 + -0.959. Let r = k - -183.684. What is r rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - b - 379 = 0, 0 = -w + 5*b - 365718 + 365637 for w.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/638616 and -25\/82984.\nAnswer: 14688168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7210 is divided by 3531?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x. Let f(k) = 2086*k**2 + 1. Determine f(w(b)).\nAnswer: 8344*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**3\/3 - 3*u**2\/2 + u + 2. Let s be r(-2). Solve -j = s*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(1800) + -1) - ((-1*sqrt(36))\/sqrt(2) + (-2*sqrt(18)*1 - sqrt(18)))) + -2)**2*-2.\nAnswer: -147584 + 6144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -2) + (-43 + 31 - (4 - (-3 - 24))).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 9*j + 1. What is the remainder when (-37)\/((-4)\/16*(1 + 3)) is divided by n(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000246 rounded to 7 dps?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19553 - -27820. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4712*m**2 + 1676*m**2 + 3037*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3398, 6242, 9086?\nAnswer: 11930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.90533l?\nAnswer: 9905.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide (-201)\/(-12)*(39 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10553243?\nAnswer: 17, 569, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d**2 - 65*d + 49. Let g(n) = 9*n**2 + 194*n - 146. Let v(h) = 2*g(h) + 7*i(h). Let y be v(-23). Solve 0 = y*l - 25, -5*l = o - 0*l - 30 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63419159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 26\/9 (c) 0.5 (d) 1\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6163 + -5932. What is the greatest common divisor of 759 and i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -271237, -542743, -814249?\n\"Answer: -271506*v + 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 14.4414335 - -14\nAnswer: 28.4414335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 12:51 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 143533 to the power of 1\/2, to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276875557.\nAnswer: 7, 29, 67, 20357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**3 + 35*k**2 + 109*k - 173. Let w be r(20). Solve 0 = 3*f - 0*f - 6, 4*u - w*f = 2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -71, -4\/11285 in increasing order.\nAnswer: -71, -4\/11285, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y. Suppose 5*i - 18 + 78 = 0. Let d be i\/10*25\/5. Does 24 divide x(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.49 + -0.051684?\nAnswer: 0.438316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 416988620*f**2 - 4045*f + 45776?\nAnswer: 833977240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 415206 divided by 54.\nAnswer: 7689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(45)\/(sqrt(40)\/sqrt(8))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 413, 404, 381, 338, 269, 168?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p**2 + 4*p - 1. Let x(u) = 1 - 3*u**2 + 6*u - 9*u - 2*u - 2*u**2. Determine 3*a(y) + 2*x(y).\nAnswer: 2*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00020455914 to six dps.\nAnswer: 0.000205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2410, -9698, -21860, -38896, -60806, -87590, -119248?\n\"Answer: -2437*h**2 + 23*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 2*v - 62*v**2 + 17\/30*v**5 + 0 - 1\/12*v**4 + 29*v**3. Differentiate s(u) wrt u.\nAnswer: 68*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 9:58 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x. Let w be i(0). Let c = w - -11. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56449 to the power of 1\/2, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1249, 3, 66, -5, -13 in descending order.\nAnswer: 1249, 66, 3, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 42 + 46 + 905*p - 88 as j + a*p and give a.\nAnswer: 905","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00064635 to six dps.\nAnswer: -0.000646","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 31, 6, -29, -80, -153?\n\"Answer: -a**3 + a**2 - 21*a + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 57 + -1?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 1\/100*d**5 + 0*d**3 - 3*d + 0 + 0*d**4 + 0*d**2. Solve l(k) = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*v**2 - 43*v**2 + 146*v**2 + 16*v**2 in the form d*v**2 + w*v + s and give d.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 17 = 3*w - 4*w, w = 5*y - 91. Let v be (4 + -3 + 1)*32. Suppose 9*h = 5*h + v. Calculate the smallest common multiple of h and y.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84556878 + 0*s + s + 169113524 - 84556646.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cn when two letters picked without replacement from {n: 6, r: 1, c: 8, d: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 147827 less than 147834?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -497.999999785 + 498. What is g rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 6, -1, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003161071 rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 90\/35 - (2 - 17\/7). Solve -3 = -u*k + 9 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-16)\/(-3) - 4)\/((-10)\/15). Let n(x) = -6*x**3 - x**2 - 3*x - 1. Calculate the remainder when n(w) is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.07 - 2.93. Let w = 14 + -13. What is the nearest to w in y, 2\/3, -4\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 426706?\nAnswer: 2, 7, 29, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 u when two letters picked without replacement from uqtqtqbrbbqbrubrb?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222620219.\nAnswer: 17, 13095307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2747500 rounded to the nearest one hundred thousand?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8248, -8243, -8230, -8209, -8180, -8143?\n\"Answer: 4*p**2 - 7*p - 8245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6.06193*-0.36\nAnswer: 2.1822948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1448)\/181 + ((-82)\/(-10) - 1)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - v + 0)*(-14 - 5*v**2 + 14) + 11*v**2 + 13*v**3 - 11*v**2.\nAnswer: 18*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 + 2*i - 2. Suppose 35 = 6*g - g. Suppose 3*z - g = 2. Suppose 4*s = 4*x + x - 6, 10 = z*x - 4*s. Give t(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146659 is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + s - 1. Let z be y(0). Let k(o) = o**2 - 2*o - 3. Let a be k(3). Let v be (24\/9)\/(-2 + 40\/15). Sort a, v, z.\nAnswer: z, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and -6484?\nAnswer: 389.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 5*n**2 - 2*n - 7. What is the remainder when s(3) is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4.1*5\nAnswer: 20.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 14, -7\/1749, 1.5, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -120, 4, 9, -34, -4 in increasing order.\nAnswer: -120, -34, -22, -4, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 78617 a multiple of 325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001 - -1000001111?\nAnswer: 111111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (111 + -63 + 68 - (-4 + 20))?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-1 + sqrt(2299) - sqrt(2299) - sqrt(2299)) + (sqrt(2299) - (sqrt(2299) + 2 + 3)))**2.\nAnswer: 110*sqrt(19) + 2324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of u**4 - 5*u**3 + 2*u**2 - 68813*u - 81199456 wrt u?\nAnswer: 4*u**3 - 15*u**2 + 4*u - 68813","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 73183, 73187, 73193, 73201, 73211?\n\"Answer: q**2 + q + 73181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -714 + 1631. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -5, 0, 4 in increasing order.\nAnswer: -21, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 150, 330, 4, 1 in decreasing order.\nAnswer: 330, 150, 4, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + 10. Let o = c - 7. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g + 2*a = -16*g - 9602, -4 = -4*a. Calculate the least common multiple of g and 7.\nAnswer: 2401","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -557c5 (base 13) to base 8.\nAnswer: -456776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 714142 and 129844.\nAnswer: 1428284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 264460, 1058049, 2380700, 4232413, 6613188, 9523025, 12961924?\n\"Answer: 264531*k**2 - 4*k - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * -1883.\nAnswer: 22596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 468\/(-20) + (-8)\/(-20). Let y = -20 - b. What is i in -i**4 + 0*i + 2\/3*i**y + 0*i**2 + 0 = 0?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h - 9. Let g(a) = 13*a - 36. Let n(r) = 9*c(r) - 2*g(r). Let v be n(13). Calculate the highest common divisor of 16 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 3 - (8 + 7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294 + 6 = 4*r. Let k = 248 + r. Calculate the greatest common divisor of k and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 165 (base 7) to base 9.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1258 - 1258.76. Round o to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -9)*(-4)\/(-14). Suppose -5 + 45 = d*h. Calculate the least common multiple of h and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/39541698 and -73\/658.\nAnswer: 1858459806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3*(1*sqrt(80) + -2 - sqrt(80) - ((sqrt(80)*1 + -5 - sqrt(80)) + sqrt(80)))**2 + 3 + 1).\nAnswer: -288*sqrt(5) + 1052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (0 + 12)\/(-4). Suppose j*g = -1015 + 2719. Suppose 2*u + i - g = 5*i, 3*u - 624 = 3*i. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.8 + 5.4. Let j be 2 - 3\/(-12)*-6. Let i = -0.1 - 0.1. What is the nearest to j in z, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -507124, -2028035, -4562886, -8111677, -12674408?\nAnswer: -18251079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 260689019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 0*p**2 + 0*p**5 - 1\/9*p**3 - 3*p - 2\/45*p**6 + 1\/63*p**7 + 1\/9*p**4 + 0. Factor m(w).\nAnswer: 2*w*(w - 1)**3*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 126160 + 151?\nAnswer: 126331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 6*g**2 - 5*g - 6. Let n be h(-6). Let f = 57 - n. List the prime factors of f.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8553 by 2851.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 17*v + 9. Let g be k(-4). Let q = 9 - 1. Differentiate 5 + 2 - q - g*i with respect to i.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oobgnbfofoeoffbobbo. Give prob of sequence on.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/120 and 29\/288?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1801*z - 47804 - 78868 = -635*z for z.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37288?\nAnswer: 2, 59, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1568*h - 1569*h + 5*s + 1749 = 0, 5*h - 2*s = 8699. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 106*d**2 - 30*d - 21. Let r(g) = -g**2 + 7*g + 5. What is -c(b) - 4*r(b)?\nAnswer: -102*b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a century in months?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v - 2331 = 7*v. Let i = v + -149. Suppose 2*m + 8 = i. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3318.682 weeks?\nAnswer: 557538.576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 34*y**2 - 267*y + 323. Give t(23).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 + 696465*m + 197554092.\nAnswer: 3*(m + 284)*(m + 231871)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v - 3*y + 31 = 12*v, 5*v - 5*y = -25 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 8000*i - 7905. Calculate g(1).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -120*c - 44. Let u be x(-5). Suppose 69*k = 70*k - u. List the prime factors of k.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/150*(-2)\/6?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 27.6. Let o = -0.6 - f. What is the second smallest value in o, -4, 2\/47?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28921?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*a - 2*o, -2 = -4*a - o - 0*o. Let m(l) = l**3 - l - 1. Let i(y) = 5*y**3 - 8*y - 4. Calculate a*i(p) - 4*m(p).\nAnswer: p**3 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 23*g + 75. What is y(22)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 655 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 209 + -209.000001376. What is m rounded to seven dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, -11, -4, -182, 1, -2 in descending order.\nAnswer: 1, -2, -4, -5, -7, -11, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6579.\nAnswer: 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 10:34 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -122.2 to 0 decimal places.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 o when three letters picked without replacement from {o: 3, e: 7, u: 4}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.2 + -13. What is t rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33 - q**3 + 34 - 2*q**3 + q**2 + (-73*q**2 - 82*q**2 + 89*q**2)*(2*q - 5*q - 2*q) in the form p + s*q**3 + n*q + d*q**2 and give s.\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*o + 11*o + 6*o - o**3.\nAnswer: -o**3 + 43*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 17*w - 12*w. Let k(m) = -25*m + w*m + 7*m + m**2 - 4. Let r be k(8). Solve r*l - 2*v = 3*l + 2, -4*l - 2 = 2*v for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/4)\/a*a\/(a**20*a*a))\/((a**1*a)\/a*a\/a**1) assuming a is positive.\nAnswer: a**(-91\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3309197585?\nAnswer: 5, 239, 463, 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 900 and 71500.\nAnswer: 643500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 6:06 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/22808085 and -95\/24.\nAnswer: 182464680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.35 and -1994.\nAnswer: -697.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 1. Let d(l) = -4*l**2 + 3. Let w(m) = -d(m) + 3*x(m). Suppose z - 4*z + u = -8, 8 = 2*z - 2*u. Let p(t) = 0*t + 5*t - z*t. Calculate w(p(i)).\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 - 17. What is the remainder when 25 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + y = 186 + 26, 9 = -3*y. Suppose -12*p + 31 = -11*p. Suppose -3*f = -k - 2*f + 14, 4*k = -f + p. What is the remainder when m is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -668, -778, -958, -1208, -1528?\n\"Answer: -35*m**2 - 5*m - 628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -16 - (10 + (27 - -3))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2127955121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 6*u - 75. Let t be r(13). Let q(m) be the first derivative of -t*m + 3 + 1\/2*m**2 + 1\/3*m**3. Give q(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 826 + 34\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2 - 1 + 3*j - j. Suppose 0 = -2*i + 4 - 0. Let n(t) = -3 + 6*t + i - 5*t. Calculate 4*n(f) - q(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 1320 = 12*t. What is the highest common factor of t and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wuuggaaiyiayaa. What is prob of picking 1 y, 2 i, and 1 g?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 6*t + 59. What is j(10)?\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.314 and 0.162?\nAnswer: 0.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/97405 and -27\/10285.\nAnswer: 1655885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1257 is divided by 115?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 6*s**2 + 5*s - 4. Suppose 7 = 3*y + u, -2*u - 4 = -2*y - 3*u. Suppose 18 - y = -3*o. Determine x(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/((-1*sqrt(56) - sqrt(56))\/sqrt(7)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvnqnkqqfwfq. Give prob of picking 1 v and 1 f.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - o + 0*o)*(-4 + 5 + 1 + (-2 + 6 - 2)*(4 + 1 - 4) - 13 + 4 - 8).\nAnswer: 26*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -39026*o**2. Let s(g) = 4*g**2 - 2. What is s(h(w))?\nAnswer: 6092114704*w**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33424 - -21?\nAnswer: 34000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*m + 4*x - 118 = 0, 3*m - 3*x = 60. What is the least common multiple of (-2700)\/(-125) + 4\/10 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -180 + -c7249?\nAnswer: -c73c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4.67 (b) -2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.4 and 6.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73\/315 - 2\/63. Let n = -2 + 1.7. What is the second smallest value in -0.5, l, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 + 4 - 12 + 28 + 352*k**2 to the form a*k**2 + h*k + q and give a.\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in -1, 4\/3, -1\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78182 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/80 and 7\/1696.\nAnswer: 8480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -3*s + 12 + 3\/2*s**2 + 2\/3*s**3. Is c(-10) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77410932 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: Let c(i) = -3*i**2 - i - 4. Give c(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -8231*n**2. Let m(y) = -12*y**2. Determine k(m(r)).\nAnswer: -1185264*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 47, 27, 17, 23, 51, 107, 197?\n\"Answer: x**3 - x**2 - 24*x + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 3*j + 6258. Suppose 166 = -3*o + j. Let v be (-26253 - -3)\/(3\/o). What is v rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(114)*-1)\/sqrt(6) - (1*sqrt(2736))**2).\nAnswer: -2737 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 1:08 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 + 2?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 108606853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 847 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -223 and 1?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 23020129 to the power of 1\/2, to the nearest integer?\nAnswer: 4798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 139203?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - (-21 + 46 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 8)*(-2 + 4 + 14)*(3*c - 5*c + 0*c).\nAnswer: 288*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 241717 and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*k**2*m + 312*k**2*t + 5*k*m*t + 2*k*m + k*t + 45*m*t - 4*t - 9 wrt m?\nAnswer: 3*k**2 + 5*k*t + 2*k + 45*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 8, h: 3}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by -9\nAnswer: -35\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 16 = -5*j - 4, -2*m = -j + 3 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111000111 - 111010110011010?\nAnswer: -111011101100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22082?\nAnswer: 2, 61, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13*(-29)\/(754\/8)*(-3)\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(25\/21)*5. Suppose -4*a - 72 = -16. Let x = a - n. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2132*v + 17. Is g(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3371*i**2 + 4. Let o(l) = -8461216*l**2 + 10041. Give -4*o(c) + 10041*z(c).\nAnswer: -3347*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/1150823 or -1?\nAnswer: 2\/1150823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*i = 3*b - 10, 0 = -3*i + b - 14. Let x(m) be the third derivative of -m**6\/120 - m**5\/20 + m**4\/6 + 2*m**3\/3 + m**2. Give x(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4182, -0.035, -0.1 in decreasing order.\nAnswer: 4182, -0.035, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -6*u + 6. Let b = 298 - 314. Let v be ((-2)\/b - 0) + (-945)\/(-120). Calculate s(v).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, m: 3}. What is prob of picking 2 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11947 - 3 - 9 - 24\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 8:07 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 274423981*f**3 - 274423967*f**3.\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4))\/(-1) + (-871)\/670?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1340\/(-13*(-1460)\/(-949)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.2412 - 4.2412. Sort 5, 1946, b in decreasing order.\nAnswer: 1946, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 14. Let n be z(-11). Let s(k) = k. Let u be s(6). Let f = u + n. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 46621 - -1?\nAnswer: 46622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -23*i - 57. Let m(q) = 1529*q. Give j(m(z)).\nAnswer: -35167*z - 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/12 + (-63)\/(-6). Solve 0 = -h - 4*h + v for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x**2 - 517 + 879 + 278 + 1076 + 236 as f + c*x + m*x**2 and give f.\nAnswer: 1952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 647996478?\nAnswer: 2, 3, 131, 443, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -60 in 5, -5, 4, -1\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2063525 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3007, -3009, -3015, -3025?\n\"Answer: -2*n**2 + 4*n - 3009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 15) in base 4?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12375?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1422221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 + 435028?\nAnswer: 435039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 556.6612ms?\nAnswer: 556661.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.0122 * 0.06\nAnswer: -0.000732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.2652 and 0.06.\nAnswer: 2.3252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-850)\/40 + 11 - (-9 + -1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5923240.47 + 0.6.\nAnswer: -5923239.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2560 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 179201*s**4\/4 + 2*s**3 + 3*s**2 + 5*s - 5. Let d be w(-5). Round d to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2 - 3*b - 4. Let q(i) = i**2 + i + 1. Let c(y) = -3*y - 53. Suppose -84 = 3*t + t + 3*m, 94 = -5*t - m. Let g be c(t). What is g*u(x) + 3*q(x)?\nAnswer: x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 2*m - 2, -5*g + 46 = 2*m - 6*m. Let w = -1072 + 1090. Calculate the highest common divisor of g and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -30 + -25 + -1 + 53?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -198, -390, -580, -768, -954, -1138, -1320?\n\"Answer: g**2 - 195*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s - 4*s = -5*s. Suppose 0 = -4*z + 21 - 69. Put -7, s, -5, z in ascending order.\nAnswer: z, -7, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/(-10))\/((-3)\/420). Let z be ((-56)\/l)\/(2\/(-80)). Let g = 87 - z. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239013586.\nAnswer: 2, 7, 17072399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 537 + -500. Suppose 0 = b*a - 45790 - 131218. What is a rounded to the nearest 100?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - x + 3. Let d be w(-5). Let r = d + 13. Put -9, r, -2 in decreasing order.\nAnswer: -2, r, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7823161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 5, 1, 438 in decreasing order.\nAnswer: 438, 5, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 13*g + 5544. Let f = g - 1536\/5. Let s = 0.37 + 0.03. What is the closest to -5 in f, s, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-74)\/(-111) + (320\/12)\/8. Solve -4*c + 3*t = 23, -l*c + 4*t - 26 = -c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4622, -9211, -13772, -18305, -22810, -27287, -31736?\n\"Answer: 14*v**2 - 4631*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1)\/z)\/(z\/z**(-2\/9))*z**2*z*z*z\/(z\/((z*z*z\/(z\/z**(-2)*z)*z)\/z)*z)*(z**1\/z)**(-2\/97)\/(z**(-7)*z\/((z\/z**(2\/13))\/z*z*z)) assuming z is positive.\nAnswer: z**(892\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 21 = 16, 2*s + 6 = -4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4212416\/747 - (0 + 1\/9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 268463885?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k + k + 0*k)*(-743*k - 25747 + 25747) + 2*k - 2*k - k**2 to the form b*k + x + l*k**2 and give l.\nAnswer: -1487","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4219261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 e, and 1 d when four letters picked without replacement from aeadddddeddeddaa.\nAnswer: 81\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 701 and 1?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*h + 4*w - 504 = 0, 5*h = -5*w + 1260. Calculate the greatest common divisor of 392 and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 7*q - 56. Let t be o(21). Calculate the greatest common divisor of 52 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 530775.1mg to kilograms.\nAnswer: 0.5307751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1483 + 4448\/3. What is the nearest to -4 in d, -0.1, -0.5, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6\/25)*t*t*t*t**(-34)*t)\/(t**(-33))**(-1) assuming t is positive.\nAnswer: t**(-1581\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10007739 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - y**2 + y + 1. Let l be q(3). Suppose 6*d - 4*d = l. What is the derivative of -4*i**4 + d - 8 + 6 + 2*i**4 wrt i?\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46350 - 92694 - 25*a + 46344.\nAnswer: -25*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 6 + 10*x - 19 + 5*x. Let t(q) = 5*q - 4. Let l(o) = 4*f(o) - 11*t(o). Calculate the least common multiple of 11 and l(3).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2, 4, -16, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 11 = -5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 3*t**2 - 2*t. Let y be f(3). Let b be ((-3)\/y)\/((-236)\/88 + 3). Find u, given that -2\/7 - 4\/7*u**4 - 16\/7*u**3 - 3*u**2 - b*u = 0.\nAnswer: -2, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132370 and 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30967971509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/((2*sqrt(63))\/sqrt(9)) + 1.\nAnswer: 1 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 47*c - 488. Calculate n(15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35*t**4 + 3*t**4 + 11*t**4 + (-3*t + 3*t - 3*t)*(-33*t**3 - 427*t**2 + 427*t**2).\nAnswer: 148*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (534\/(-4) + -5)*-2. Suppose -n - 658 = -17*d. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 8*p**2\/9 - 210746*p\/9 + 5854 = 0?\nAnswer: 1\/4, 26343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (4 + -5 + 5) - (-132 - (3 - 13)).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -107.643 minus 218.0063?\nAnswer: -325.6493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-10))\/((-255)\/1700).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - 4*i - 22, 5*b + 0*i + 10 = -3*i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a factor of 154642197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1223643 and 983713.\nAnswer: 50169363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 4, 7, 9 in descending order.\nAnswer: 9, 7, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 2*p - 2 - 10, -4*p - 21 = 5*d. Let m(b) = 6*b**2 + b + 1. Calculate m(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 t, and 1 s when three letters picked without replacement from sttttttvh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.19 + -0.2. Let y = b - -2.01. Let m(q) = q**3 - 8*q**2 + 5*q + 15. Let j be m(7). Sort 2\/5, j, y.\nAnswer: 2\/5, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 612, 1217, 1818, 2415, 3008?\n\"Answer: -2*n**2 + 611*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 721, -0.2, 3, 5, -7, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/8*(-24)\/(-30)*10. Solve o*f = 5*a - 28, 0*f = 5*a + 5*f for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-91381.\nAnswer: -274143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 - -504774362?\nAnswer: 504774377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -147.8 + -10019797178.\nAnswer: -10019797325.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 15*y**2 - 14*y + 5. Determine c(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**4 + 750*n**3 + 5*n**2 - 750*n = 0. What is n?\nAnswer: -1, 0, 1, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11621 is divided by 3881?\nAnswer: 3859","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -7*x**2 - 987*x + 2982. Give t(-144).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.45 + -0.05. Let x = b + 0. Let d be (4\/(-6))\/((-2)\/6). Sort d, 5, x in decreasing order.\nAnswer: 5, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 4, 12, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 461655 and 19080.\nAnswer: 195741720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + (-4 + (sqrt(1377) - 6*sqrt(1377)))**2 - (2*sqrt(1377)*-5 + -5*1*sqrt(1377))).\nAnswer: -206670 - 2970*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*p + 452 + 268 = -148 for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -5. Suppose 3*h = -h. Factor -a*u - 3*u**2 + 2 + h*u**2 - 2*u**3 + 9*u**2.\nAnswer: -2*(u - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 35*s**2 + 100*s - 7. What are the prime factors of i(34)?\nAnswer: 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -4*n + 16. Suppose 0 = -n*h + 4. Suppose -m + h = 5, -k - 4*m - 9 = 0. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -1 + 5 - h + 11. Let k be x(10). Suppose -3*u + 2*v + 27 = 0, k*u - 5*v - 31 = 14. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -74725532*y - 94964727 wrt y?\nAnswer: -74725532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in -0.39, 1, 3\/11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4420843 divided by -5?\nAnswer: 4420843\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - (-46 + 16 + 27) - (-2 + (3 - -2))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -48, -14, -4 in descending order.\nAnswer: -4, -5, -14, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**4 - l**4 + 6*l**4 + (0*l**3 + 0*l**3 + l**4)*(98 - 27 + 7)*(5 - 1 - 3).\nAnswer: 80*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*h**3*i + 2*h**2*i**2 + 2*h + 157*i**2 wrt h.\nAnswer: -204*h*i + 4*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((15\/430)\/(-3))\/(148\/296).\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4 = r, 0*j + 4*j + 8 = 5*r. Solve r*k = -3*k - 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47562854?\nAnswer: 2, 313, 75979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2173*m**6 + 14*m**5 - 12*m**2 + 108 wrt m?\nAnswer: -260760*m**3 + 840*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 3)\/((-6)\/4)*1062\/236?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - b + 5, -5*b = 1 + 4. Suppose 0 = -t*w + 12, 5*s = -9*w + 4*w + 35. Suppose -s*d + 28 = -11. Calculate the remainder when 38 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 4*j**2 + 15*j - 2. Suppose 3*f + 29 = -2*m, 0*f + f - 2*m - 1 = 0. Calculate the remainder when c(f) is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98575?\nAnswer: 5, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**(-6)))\/((k*k**(-3\/7)*k)\/k)*((k*k\/k**1)\/k)\/(k*k\/(k\/(k*k**(-1\/8)))) assuming k is positive.\nAnswer: k**(-473\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100323112 + -1011111?\nAnswer: 33312001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 5. Suppose 8*v = j*v + 32. What are the prime factors of (28\/6)\/(v\/12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 15 = -5*x, 5*h - 3*x + 0*x + 40 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 7:00 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 14 - 3 - 11. Let x(h) = 3*h**2. Determine r(x(t)).\nAnswer: -9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + 8 + 17*r**2 - 8 + 2*r**2 - 2*r**2 - 3*r**2 + (-4*r + 3*r - r)*(-r - 3 + 3) + 7*r**2 - 7*r**2 + 15*r**2.\nAnswer: 31*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 2 (c) 3\/5 (d) 3 (e) -3\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of u**4\/4 + 56*u**3 - 749*u**2 - 296. What is the second derivative of g(l) wrt l?\nAnswer: 6*l + 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.169, 0.4, -1, -14 in descending order.\nAnswer: 0.4, 0.169, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -6.3. Let a = -0.8 + -0.4. Let n = a - -0.8. What is the closest to -1\/3 in 3, n, g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c050 + 463?\nAnswer: -b9cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/3 + 100753*w**3\/3 - 1127885055*w**2 + 12625169254425*w + 25254850317750.\nAnswer: -(w - 33585)**3*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -14*b**2 + 874 - 226 - 648. Let w(f) = -90*f + 3. Give w(l(i)).\nAnswer: 1260*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 2\/3769?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**3 + 3*u**3 - 5*u**3)*(20*u**2 + 64*u**2 + 0*u**2).\nAnswer: 168*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 + 7 = -3*v - 2*i, 3*i = 4*v - 293. Let d = v + -65. Let o be d\/((2*3\/13)\/(-2000)). What is o rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -415 = 16*i - 99*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2427, -2398, -2341, -2238, -2071, -1822, -1473, -1006?\nAnswer: -403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13621, 54493, 122615, 217987, 340609?\n\"Answer: 13625*a**2 - 3*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27596053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -171867 by 57289.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4916a0a (base 11) in base 13?\nAnswer: 1a0902c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (263 + -263 - (-2 - -52))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 36. What is the highest common factor of v and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 103551649*s**2 + 22304614*s?\nAnswer: 207103298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88.98872 + -89. What is z rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hw when two letters picked without replacement from {h: 2, w: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 899 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**4 - 33460*p**3 - 234288*p**2 - 502092*p - 301266 = 0.\nAnswer: -3, -1, 16737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w - 3*b - 51 = 0, -b = 83*w - 90*w - 53 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(252) + -1*sqrt(252) + sqrt(252))*3 - (sqrt(252) + 3 + 2*sqrt(252))))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 12, 11, 6, -3?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**3 - 2 + 2 + (3 + 1 + 0)*(221*u**3 - 938*u**2 + 938*u**2).\nAnswer: 882*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + -78. Let v = w + 45. Let a = 128 + v. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.096 and -0.04506?\nAnswer: -0.00432576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10979560*-0.26.\nAnswer: 2854685.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5878 + -5878. What is the nearest to -2 in g, 1.2, 5\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 540996 and 24?\nAnswer: 1081992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 3 = -q, -14*q + 13*q = -2*f + 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 2318981745761\nAnswer: -2318981745765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124628660 and 5655.\nAnswer: 1885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1494047211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-80)\/(-54)) - ((-1753)\/(-14024) + 67\/40)\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.06, -1\/4, -875, 2, 0.3.\nAnswer: -875, -1\/4, 0.06, 0.3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14578438*v**2*x - 200723286*v**2 wrt x.\nAnswer: -14578438*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -142865.115 and -0.4.\nAnswer: 57146.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -899299.87 rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + -10. Let d(f) = -f**3 - 14*f**2 - 16*f + 31. Let p be d(j). Let w = 2803\/11 - p. Which is the closest to 4? (a) -2\/5 (b) 3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 448 = 172. What are the prime factors of n?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -12. Suppose -20*l + 40 = -80. Calculate the highest common divisor of l and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1173775.\nAnswer: 5, 29, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 8:08 AM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b - 3*b + 4*b + (1 + 0 - 3)*(-3 + 3 + b) + 4*b + 2*b + 3*b in the form r + v*b and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 13. Let x = f - 9. Let k = 7.9 + x. Which is the second biggest value? (a) 5 (b) k (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/12 and -161\/2676762?\nAnswer: 5353524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29\/3 - 10. Let k be (-1 - 18\/(-9))\/(0 + -1). Which is the closest to -3\/4? (a) z (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1015512641 - -2?\nAnswer: 1015512643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/4 - 26221*c**2 - 687593280*c - 2749953600.\nAnswer: -(c + 4)*(c + 52440)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 519036 is divided by 2508.\nAnswer: 2388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2766*u**4 - u**3 + 38714*u**2 wrt u.\nAnswer: -66384*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18\/15)\/(2\/(-30)*-3). Solve -5*r - 26 = -o for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -331 + 286 + (1 - -32)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.605 and 66.\nAnswer: 237.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4\/11139 - -1013569\/222780. Let x be 213\/75 + -3 + 0. Let r = 557\/200 + x. Calculate the common denominator of c and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 24 - 29 = 3*k, z = -4*k - 8. Suppose 264 - 240 = z*p. Solve 0 = c + p*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -24636, -25018, -25400, -25782?\n\"Answer: -382*t - 24254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519 + (-6 + -50)\/(-7) is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61\/5 - -13. Let c = -1\/30 + 1\/6. Let u = 35.38 - 66.38. Sort u, -0.3, c, v.\nAnswer: u, -0.3, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 7*a**2 - 8*a. What is c(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 16*s**3 - 116*s**2 + 12*s + 24. Let f(i) = -3*i**3 + 23*i**2 - 2*i - 5. Let a(y) = 24*f(y) + 5*r(y). Let a(c) = 0. Calculate c.\nAnswer: 0, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 k when two letters picked without replacement from {n: 5, k: 2, c: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 28*c**2 - 58*c + 190. Let a(r) = -15*r**2 + 30*r - 95. Let t(u) = 11*a(u) + 6*k(u). List the prime factors of t(-13).\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2 + 2*w - 1. Let r(u) = -u**2 - u + 1. Let t = 2 + -1. Let h(k) = -t - k + 2 + 0. Let b be h(-2). Calculate b*o(m) + 5*r(m).\nAnswer: m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4707803 (base 9) to base 4.\nAnswer: -21231103131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/10*(8 - 408\/16).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2 - 411*s - 2844. Determine v(-7).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 10*y + 14. Let k be i(10). Let d = k - 46\/3. Let o be (1 - (0 + 0))\/1. Which is the nearest to o? (a) d (b) -2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.782 + 2.782. What is the fourth biggest value in 0, f, 52, -3\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 2*g - 23, -7*g + 6*g - 3*x = -8*x + 71 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 854564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23330734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -36, -90, -166?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s**3 + 3*s. Suppose -d = -3*x - 0 - 9, 0 = -2*x + 5*d - 6. Let w(a) = -3*a**2 + 2*a**2 + 2 - 1. Let z(g) = x*w(g) - v(g). Let z(t) = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide (-68)\/102 - ((-548220)\/(-9))\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 - 79*y + 79*y + y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 3435?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10422 by -3.\nAnswer: -3474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**6\/75 - 3*q**5\/5 - 161*q**4\/10 - 196*q**3\/3 + 4116*q**2\/5 - 4385*q. Find l such that o(l) = 0.\nAnswer: -7, 2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4 - 2*x**3 - 4*x**2.\nAnswer: 2*x**2*(x - 2)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -476 + 922. What is the least common multiple of 16 and d?\nAnswer: 3568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 2*v + 2012, 18*h = 13*h - 5*v + 2015. List the prime factors of h.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-74202)\/(-2616))\/(7\/5). Let x = i + -8\/763. Calculate the common denominator of 34\/11 and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*i - 19*i + 20*i + 12*i to the form u*i + g and give u.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 8. What is the second derivative of -1 - 14*h - 44*h**4 + z + 60*h**4 wrt h?\nAnswer: 192*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3325607537354 minus 0.02?\nAnswer: 3325607537353.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*t - 2*j, 4*j + 32 = 12. What is the nearest to 1 in 2, -8, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7416 = 236*f + 1000*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11689*z - 11703*z - 406 = 0. Sort -10, z, -3 in descending order.\nAnswer: -3, -10, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 14*b**2. Let g(w) be the second derivative of w**3\/3 - 5*w**2\/2 - 5*w. Let h(m) = -2*m + 4. Let n(y) = 4*g(y) + 5*h(y). What is n(q(o))?\nAnswer: -28*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 61399161 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 8:13 PM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**3 - 50*m**2 + 39*m + 31. Calculate u(24).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/5)*l**5*(l*l**(-1\/3)\/l*l*l)**1 assuming l is positive.\nAnswer: l**(97\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 70 + 65. Suppose -9*x = -11*x + 6. Suppose -x*y - 11 = -59. Calculate the remainder when f is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-14) + 126\/98. Suppose -b - d - 9 = -3*q, -b + 20 = 3*q. Suppose -v = q*w - 17 + 3, 2*v - 58 = 5*w. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110011011011100 (base 2) in base 6?\nAnswer: -321524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13923*t - 200 = -13933*t for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -833 = 3*i - u - 836, -3*u - 9 = -5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1948409 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 399750186049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v**2 + 2*v + 3. Let a(d) = 309*d + 626. What is the remainder when b(-2) is divided by a(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 12\/531341?\nAnswer: 12\/531341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {r: 6, n: 10, x: 4}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**4 + 1 - 3 + s**5 + 21*s + 2*s**3 - 19*s. Let j(n) = 6*n**5 + 16*n**4 + 10*n**3 + 11*n - 11. Let d(b) = 11*g(b) - 2*j(b). Factor d(l).\nAnswer: -l**3*(l - 2)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1864*u + 97 - 178*u + 205*u with respect to u.\nAnswer: -1837","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -60184, 5, -0.4?\nAnswer: -60184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 497*m + 24886 + 24211 - 15437 = -523*m for m.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 10:57 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 58 = -f. Calculate the remainder when 36 is divided by (3 + f)*1\/3.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -458407 (base 9) in base 5?\nAnswer: -32301124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 107, 867, 2917, 6899, 13455?\n\"Answer: 107*n**3 + 3*n**2 + 2*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3\/7 - 435*m**2\/7 + 15768*m\/7.\nAnswer: 3*m*(m - 73)*(m - 72)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (9 + 1 + (3 - 7))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 34\/5 of a micrometer?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*((-66)\/(-24))\/11.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108606290?\nAnswer: 2, 5, 13, 103, 8111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*g**3 - 20*g**3 - 477*g**2 + 477*g**2 + (2 - 2 - 1)*(-2*g**3 - 2*g**3 + 2*g**3) as w*g**3 + i + o*g + z*g**2 and give w.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/2)\/(7 - (-816)\/(-116)). Solve 13 = 8*k + u for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0622235073 rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 88920885, 88920883, 88920879, 88920873, 88920865, 88920855, 88920843?\n\"Answer: -k**2 + k + 88920885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 4*y. Let v be 30\/20*28\/6. Suppose v*j = j - 18. Determine z(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v + 545*v**2 - 531*v**2 - 5*v in the form t + k*v + c*v**2 and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121022000 (base 3) in base 12?\nAnswer: 16323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17086 (base 12) in base 8?\nAnswer: -100246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 845 a factor of 85449301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 9*f - 7. Let o(r) = -5*r + 4. Let b(g) = -6*n(g) - 11*o(g). Let d be b(7). Suppose -5*h = -4*h - d. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000110100000 - -10?\nAnswer: 110000110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*g = 2*g - 8, g = 3. Let c(q) = -34*q - 1. Let k be c(-1). Suppose k = 3*p - 36. Solve 2*f = -5*a - p, f + 2*f - j*a = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 49128.15 millennia?\nAnswer: 589537800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000 (base 2) in base 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2179*h - 419*h - 1118*h as c + d*h and give d.\nAnswer: -3716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(1080)\/sqrt(6) + (3 + sqrt(5))*-2.\nAnswer: -6 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7920433 centimeters to millimeters.\nAnswer: 7.920433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**2 - 1304*h + 1300 = 0. What is h?\nAnswer: 1, 325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*l**2 - 7*l**2 + 7*l**2)*(-7 + 7 + 6*l**3) - l**5 + l**2 - l**2 + (7 - 7 + 2*l)*(16*l**4 + 155*l**2 - 155*l**2).\nAnswer: 103*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, c: 4, l: 1}. What is prob of sequence zccl?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1033, -2082, -3151, -4252, -5397?\nAnswer: -6598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1664\/165 + 65\/66. What is the common denominator of t and (-914)\/40 + (-6)\/15?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(513)*2 + ((sqrt(171) - 1*sqrt(171)) + sqrt(171))\/sqrt(3))\/((1*sqrt(735))\/sqrt(5)))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 95 and 2?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3520 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (15 + 10 + (-16 - (9 + -10))) - 35?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + -1)*-1 + -4.\nAnswer: -4*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4 - 45*h**3 + 207*h**2 - 195*h - 450.\nAnswer: 3*(h - 6)*(h - 5)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 121830 and 7719.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*u - 36 = 0. Let p be (-114)\/(-5) - (-10)\/50. Let x = p - u. Calculate the greatest common divisor of 7 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 0.5. Let m = 0 - h. Put 1, m, -2\/23 in descending order.\nAnswer: 1, m, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19587 by 985.\nAnswer: -19587\/985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 f when two letters picked without replacement from {d: 1, f: 2, y: 2, h: 2, p: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 43)\/9 - (-6 + 8\/(-32) + -10)?\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {e: 14, l: 4}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/331 + 673\/3641. Which is the closest to -3? (a) 1\/7 (b) j (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276308?\nAnswer: 2, 67, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - -0.7. Suppose -7*z = -33*z - 104. Let y be ((-16)\/100)\/(2\/(-5)). What is the nearest to y in t, -0.1, z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16948698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 3*n - 85 = -q - 62, -4*n + 31 = 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11754 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t - 2. Let u be h(6). Let o(y) = y**3 - 4*y**2 - y + 4. Let x be o(u). Let i be x\/(1 + -2) + 0. Solve 2*r + r + 6 = i for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-343))\/((-4)\/56)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/8 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 + 34\/(-5))*-65. Let l = x + -114. Let q(k) = k**3 - 3*k**2 - 4*k + 4. Calculate q(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 248000 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(3\/2)*p*p\/(p**(4\/9)\/p)*p*p\/(p\/((p*p*p**(2\/3)*p)\/p))*p**4*(p**0*p\/(p*p\/(p\/p**(9\/5))*p))**(6\/5) assuming p is positive.\nAnswer: p**(2863\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2686303157 to the nearest integer?\nAnswer: 51830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/166520 and 145\/599472.\nAnswer: 2997360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -5. Let h(w) = m*w**3 + 2*w + w**3 + 1 - 7*w + 4*w**2. What is the least common multiple of h(-5) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*k = 85799 - 30327, -r - 2*k = -18500. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 - 28 - b**2 + 0*b**2 + 20 as o*b**2 + g + y*b and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = y + 3, -4*y - 4*l + l + 3 = 0. Suppose 0 = h - 2*h + 5. What is the lowest common multiple of y and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/6 + 728\/(-24). Let n = 96 + o. What is the highest common factor of 22 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) -1\/10 (c) -3\/5 (d) 17\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 3*t**2 - 33*t - 40. Is a(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdb when three letters picked without replacement from {d: 6, b: 13}?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3386891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -39 - 2*x**3 - 651*x**2 + 39 + 654*x**2 - 2*x - 767*x**4 in the form t*x**3 + q*x**2 + f + v*x + h*x**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 0 (c) -6 (d) -0.1 (e) 17.7 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkp when three letters picked without replacement from {p: 9, t: 1, q: 8, k: 2}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from aaaaaraararaaaaa?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 12607*j + 1828053. Give q(-145).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 3\/(-6 + 3). Is (t - -481) + (-1)\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 8)*(-4 + 2 + 0)*(-4 + 1 + 1)*(-3 + 3 + 2)*(s**4 + s**4 - 8*s**4).\nAnswer: 480*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 11*m + 2*t + 912 = 0, 5*m + 3*t - 932 = 0. What is the greatest common factor of 1058 and m?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57645.68453 + -57646. Let j = u - -0.352417. Let r = j - 0.037. What is r rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 625947 a multiple of 727?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/1465936 and 43\/168?\nAnswer: 30784656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**4*v - 24337*p**4 - 6*p**3*v + 6*p**3 + 2*p**2 + 7*p*v + 2664*p + 4*v wrt p?\nAnswer: -48*p*v - 584088*p - 36*v + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44734 + 44734 + 999*j - 5*j + 5*j + j + (5 - 1 - 2)*(1 - 1 + j) to s*j + u and give s.\nAnswer: 1002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 20\/(-15)*9\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -7*m + 10. Let o(s) = 7*s - 9. Let v(p) = 7*o(p) + 6*q(p). Suppose -x - 1 = -3. What are the prime factors of v(x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 4*a**2 + a - 3. Calculate the remainder when 33 is divided by n(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of c**6\/120 + 11*c**4\/24 + 3*c**3 - 7. Let o(g) be the third derivative of u(g). What is the first derivative of o(d) wrt d?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -w + 2, 4*w - 2*w = -5*s + 19. Which is the second smallest value? (a) 1 (b) -34\/3 (c) 0 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**3 - 7*o**2 + 2. Suppose -r - 4 = -4*q - 3, 21 = -4*r - q. What are the prime factors of i(r)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 7*g**2 + 3*g - 43. Give p(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101000000100 (base 2) to base 7.\nAnswer: -25263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 take away 74714?\nAnswer: -74713.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, p: 5, o: 3}. What is prob of picking 1 j and 2 p?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 10, -3*v + 26 = 4*k + 9. Let d be (v + 1)*(-15)\/(-6). Solve z - d = 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2256 - -2.\nAnswer: 2258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + 0.25. Let y be (3*(-6)\/36)\/(5\/(-2)). Let p = 5.813 - 3.813. Which is the fourth smallest value? (a) y (b) s (c) 4 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -7*p - 3. Let b be o(-2). Suppose -3 = 3*f + 6, -3 = -k - 2*f. Let d = -5 + 10. Solve -d*y - b = k for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 25*l - 3 + 8 - 9.\nAnswer: -25*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -5*h + 250, -19*k - 5*h = -23*k + 155. Solve k - 50 = -5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20068, 20190, 20380, 20626, 20916, 21238, 21580, 21930?\nAnswer: 22276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 8 - 1 = 0, -3*t + 5 = -4*o. Let i = 384 - 391. Let z = -10 - -8. Sort o, i, z in decreasing order.\nAnswer: o, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (546\/(-819) + 17\/(-6))\/(28\/16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 16, j: 2}. Give prob of sequence ttt.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b + 1. Let z(r) = 101*r + 13. Calculate -34*d(u) + 2*z(u).\nAnswer: 100*u - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 62. Give p(0).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 7 + 1 = -3*q + 8*q, 0 = -3*q for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 7*q**2 - 9*q + 7. What is the remainder when h(-8) is divided by (-2 - -9) + (3 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 690130834?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-5))\/(((-11968)\/120)\/34 + 2).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 283840 and 3730.\nAnswer: 105872320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/sqrt(2)*4 + 0.\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from {c: 10, a: 9}?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.2*-0.0801.\nAnswer: -0.33642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 4*f + 8, 2*f = -f - 5*m + 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2189*j*s**2*t**3 - 4*j*s**2*t**2 - j*s**2 - 44*j*t**3 - 56*s*t**3 - 6*s*t wrt s?\nAnswer: 4378*j*t**3 - 8*j*t**2 - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/(-58))\/((-16)\/(-12)*1\/24).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 - 59 = 5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -222.603867 rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 3*f + 35 = 0, 2*u = u + 2*f - 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2))**(1\/33)*(t*t*t**(1\/17)*t)\/(t*t**15) assuming t is positive.\nAnswer: t**(-7294\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2 = 2. Solve a + 2*t + 6 = f, -t + 0*t = -2*a - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5545561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 824369294 a multiple of 3770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 16) to base 2\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 3:38 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(1\/3))**19)**(-4\/3)*(n**(-2\/3)\/n**(-1\/3))**(5\/2) assuming n is positive.\nAnswer: n**(-623\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/33 and -60\/2387.\nAnswer: 7161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 100972811, 201945623, 302918435?\n\"Answer: 100972812*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one halves of a year?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mccm when four letters picked without replacement from ckkmmkckmkc.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0771699 to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 23 times -6\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**5\/2 + 6665*y**4\/2 + 7932001*y**3\/2 + 3450964403*y**2\/2 + 255375647129*y - 517685004404 = 0.\nAnswer: -5284, -461, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 88. Let k = a - -77. Suppose -q = -4*b - k, 0*b - b + 2 = 0. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 5*m - 2*l + 13, -2*l = -8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -22 and -14720799.\nAnswer: -14720821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 863302?\nAnswer: 2, 11, 39241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136605567.\nAnswer: 3, 7, 6505027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/6 + 1245*s\/2 - 562100\/3.\nAnswer: (s - 280)*(s + 4015)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 37.14? (a) -0.2 (b) -4 (c) -0.4 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grrggrgrrrrrg. Give prob of sequence gg.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by 1744.\nAnswer: -19\/1744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 39848216 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - b. Let q(g) = -17*g**3 + 2*g. Calculate -2*j(z) - q(z).\nAnswer: 15*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 5*u**8\/56 + 2*u**4\/3 - 3*u. What is the third derivative of q(i) wrt i?\nAnswer: 600*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8928224797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-148636)\/(-216))\/((-2)\/77838). Let z = l + 26788055. Let w = z - 6731. Calculate the common denominator of 103\/10 and w.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**3 - 3*g + 3. Let d = -11 - -4. Let j(y) be the second derivative of 3*y**5\/20 + 5*y**3\/6 - 5*y**2\/2 + 148*y. What is d*c(t) - 4*j(t)?\nAnswer: 2*t**3 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u + 2 - 2 + 3*u - 3*u + 2*u + (1 - 1 + u)*(0 + 3 - 4) - 1 + 1 - 2*u - u + 0 + 0 - 2 + 3*u + 2.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*q = 21, 3*z + 2*q - 6 = 15. Let o(n) = n**3 - 2*n**2 - 2*n - 9. What is the tens digit of o(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 - 40. Suppose n = -3*l + 7*l. Suppose -i - 10 = l*a - 40, 0 = -a + 5. Solve -i*s - 2 + 11 = -2*f, -3 = -3*s for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 s when three letters picked without replacement from {l: 3, s: 7, z: 7, y: 3}.\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 646207 to the power of 1\/2, to the nearest integer?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 7:15 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-5\/2)\/m*(m*m**(6\/5)*m)\/m*m**(-1\/11)\/(m*m\/(m*m**(-1\/3))) assuming m is positive.\nAnswer: m**(-899\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/19))**(-2\/3)\/((d**(-10)\/d)\/d*d*d\/d**(-5\/6)))**23 assuming d is positive.\nAnswer: d**(8073\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**3 - 10*w**2 - 61*w - 15. Determine z(-5).\nAnswer: -335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (((sqrt(104)*-1 - sqrt(104)) + sqrt(104))\/(sqrt(2) - sqrt(16)\/(2*sqrt(8)) - sqrt(2)) + 1)**2)*-2.\nAnswer: -410 - 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34.551 + -34.5321. What is the third biggest value in k, -4, 0.3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3660)\/43554)\/((-26)\/91).\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4197.6952 - 4196. Let z = 1.7 - n. What is z rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*n = 536, -10*r = -5*r + 2*n - 693. Let k = r + -116. What is the highest common divisor of k and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7767 + 7772. Solve -2*u + 8 = k, -9*u + h*k = -11*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -0.251, 0.6, 1\/3?\nAnswer: -0.251","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3219)\/259)\/(684\/(-532))?\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*z + 16 = 0. Let d be z\/((3 - 4)*1). Solve 4*b = 2*l - 6*l, d = -5*l - b for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 8. Let t be (1 + 0)\/(v\/(-39)). What is the tens digit of 1*t + (11 - 11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.16 + 6.16. Suppose -5*b - 2 = -2*j + 1, 21 = 5*j + b. What is the third smallest value in 2, l, -2\/13, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/7 and ((-2860)\/(-8))\/13 - 6\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, e: 2}. What is prob of sequence vee?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1453 or -1493?\nAnswer: -1493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 472235.\nAnswer: -1\/94447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 10*w + 1150. Let u(n) = -2*n**2. What is u(x(h))?\nAnswer: -200*h**2 - 46000*h - 2645000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*(4 + (-16)\/12)\/(414\/(-54))?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 508404619 to the nearest integer?\nAnswer: 22548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -4*t + 5. Let g(s) = s**2 + 7*s - 4. Calculate g(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from icciiiccicccc.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-2)\/9 + 17\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 15 = 4*v, 0*v = 5*v + u + 2*u - 70 + 5 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-20)*7380\/(-3321)*35.\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1485\/21 + (-4)\/(-14))*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -29 (b) 3\/2 (c) -0.3 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(6\/(-30)*(-5)\/1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.5 - -5.1. Which is the second smallest value? (a) t (b) -1 (c) 0.4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2493*t + 733*t + 857*t + 772*t.\nAnswer: -131*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2607*z**2 - 99*z**2 + 404*z**2 as b*z**2 + i*z + g and give b.\nAnswer: -2302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 12*q - 11. Give x(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -1)*(-1)\/(-1). Let z(j) = 2*j + 20. Let h be z(7). Solve -5*i - h = -3*r, -5*r = -4*i - p*i - 35 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 83, 101, 231, 473, 827, 1293?\n\"Answer: 56*c**2 - 150*c + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + r - 3*k + 13, 5*r = 3*k - 7. Let v be ((-1 + r)*-1)\/2. Suppose v = 3*u - 3*q + 6, -2*q - 2 = -3*q. Sort u, 1, 5 in decreasing order.\nAnswer: 5, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-240)\/(-22)*(-440)\/(-100)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -193 + 7529\/39. Is 0.1 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -78619, -78621, -78623, -78625?\n\"Answer: -2*s - 78617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) - 2*sqrt(4500) - sqrt(360)\/(sqrt(16)\/sqrt(2)))\/(2*(sqrt(3267) + -1*sqrt(3267) + sqrt(27))\/sqrt(3)).\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (46\/4)\/(((-48)\/(-21))\/(-8)). Let h = u - -40. Which is greater: h or 21\/4?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -6*f. Suppose -4*y = -0*l + 3*l - 62, 2*y + 2*l - 30 = f. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -701 - 1?\nAnswer: -702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9251.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4192 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 2*c**2 - 1\/2*c**4 - 7 + 0*c - 2\/3*c**3. Let j(n) = 0. What is n?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (1 - 3 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -5*m - 11*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/4*4\/(-1). Let f be (u + 0)\/(15\/15). Let y = 44 - f. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21d364 (base 14) to base 3.\nAnswer: 2011110001212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5548 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 584, -5, -6, -2, -4, 0 in increasing order.\nAnswer: -6, -5, -4, -2, 0, 584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i - 14*i + 8436 = 0. Suppose 0*n - 3*n + 72 = 0. What is the least common multiple of (-210)\/(-9)*i\/259 and n?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from wwwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 5\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*g = 2621 - 6443 for g.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -277702, -277711, -277720, -277729, -277738?\nAnswer: -277747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 10206?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 3976\nAnswer: 1\/568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 - -33. Let n(h) = 31*h**2 + h. Let s be n(m). Calculate the highest common factor of s and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/2)\/h)**44*h**(-3\/11)\/h**(-10) assuming h is positive.\nAnswer: h**(-135\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -259 - 2091?\nAnswer: -2350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 13951?\nAnswer: 4185.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(156))\/sqrt(12) + (-1*sqrt(13) + 4 + sqrt(13))**2 + sqrt(13).\nAnswer: -sqrt(13) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/2))**14\/(t**(4\/7)*t**(-5))*(t**(-6)\/(t*t\/(t*t**(-4))))\/((t\/(t\/t**(-1\/3)))\/(t*t**(-3\/7))) assuming t is positive.\nAnswer: t**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 961 a factor of 6674145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n + 14. Let m be w(9). Suppose -5*x + 107 = 2*p, -2*p = -m*x - 32 + 135. Calculate the highest common factor of x and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -277 + 8460*l**2 + 987*l - 420 - 616*l**2 - 988*l + 1687*l**2 wrt l.\nAnswer: 19062","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467.04 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 14*d - 180 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 3039770.\nAnswer: 3039770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -56*m - 61. Let c(d) = 3. Let s(b) = -2*c(b) - w(b). Is s(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 11*a**2 + 3*a. Let r(y) = 6*y**3 + 56*y**2 + 16*y. Calculate 3*r(s) - 16*z(s).\nAnswer: 2*s**3 - 8*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 + 1)*(-5 + 3*d**2 + 5)*(-81984 + 389*d + 81984) to f*d + l*d**2 + u + t*d**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(17) - (-1*sqrt(17) + -1)))**2 + sqrt(68)*2.\nAnswer: 18 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 12:16 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.26357999 - -0.067\nAnswer: 0.33057999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1053 + 1744 = -172*u - 471 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*b**3 - 10044*b**2 - 1918836*b + 2900880 = 0. Calculate b.\nAnswer: -1020, -237, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3419 is divided by 114.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -112877 or 2271?\nAnswer: 2271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = d, 5*q + 0*q + 3*d - 4 = 0. What is the tens digit of ((-12)\/(-7) - q\/(-7)) + 42?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2895*v + 56. Let b be c(-28). Is 66\/110 + (-3)\/(30\/b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66916435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 74, 53, 22, -19, -70?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 2. Let n = j + 5.5. Let b = -4.499981 + n. What is b rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 1. Suppose 2*w - 20 = -3*a, 0 = -0*a - a + w + 5. Let j(f) = 12*f**3 + 2*f - 4. Determine a*l(x) + j(x).\nAnswer: 6*x**3 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c = 26*c - 3690. Calculate the least common multiple of 451 and c.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 5. Suppose 3*p - p = h. Calculate the highest common divisor of p and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4468, -8936, -13404?\n\"Answer: -4468*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -19396.2.\nAnswer: 58188.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5181 - -9534. List the prime factors of s.\nAnswer: 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9927 is divided by 4864?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23532585 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -11*p**2 - 4*p - 496. Let k(j) = 14*j**2 + 5*j + 500. Determine -4*k(o) - 5*t(o).\nAnswer: -o**2 + 480","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(0*n**2 - n**2 - n**2) - 41*n + 41*n - 7*n**2 + (4*n - 2*n - 3*n)*(-2 + 2 + 4*n) - 3*n**2 - 9*n**2 - 3*n**2.\nAnswer: -22*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 5*h - 20 = -5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 234 + -498. Let z = l + 264. Sort z, -17, 1 in increasing order.\nAnswer: -17, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326562966?\nAnswer: 2, 3, 601, 30187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-3 + (1 - 4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5 = 3*p + 2*p, m = -3*p + 14. Let x(q) = -6*q**2 + 7*q - 2. Let c(v) = -7*v**2 + 8*v - 2. Calculate m*x(b) - 4*c(b).\nAnswer: -2*b**2 + 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -155*n**4*z - 8*n**2*z**2 + 7105*n*z**2 wrt n.\nAnswer: -1860*n**2*z - 16*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/13 - (((-18187)\/364 - -50) + 54\/56)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y**2 + 8*y - 13. Let o = 0 - -4. Let i(q) = 6*q**2 + 8*q - 13. Let a(m) = o*i(m) - 5*l(m). Let n be a(-7). Solve 5*z + n = z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1253982 divided by 6.\nAnswer: -208997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314302 is divided by 218.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 381*h. Let c(p) = p**2 - 52. Calculate c(a(g)).\nAnswer: 145161*g**2 - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6315 + 6299. Which is the closest to -2? (a) x (b) 5 (c) 72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-8))**(-1\/4) assuming j is positive.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 8*c = 5*i + 2320, -5*i = 3*c + 2340. Let f = i + 507. Calculate the greatest common factor of 196 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27248 - 26496. Calculate the remainder when w is divided by 203.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -7*u**2 + 407*u - 1189. Calculate p(3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*c + 76, 5*j + 2*c = 4*c + 406. Calculate the greatest common divisor of 205 and j.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 266 and 30628.\nAnswer: 214396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 8:19 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, m: 4, b: 4}. Give prob of picking 3 b.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17367, 17042, 16719, 16398?\nAnswer: 16079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 28?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**3 + 8 - 2*j**4 + 1 + 3*j**4 + 0*j**3 as a*j**3 + i + l*j**4 + g*j + m*j**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 324197459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o**2 - 2*o. Let g(m) be the first derivative of -m**3\/3 + 100. Give 2*g(r) - i(r).\nAnswer: r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1872)\/128 + 15 - 15\/8. Let d = 1.5 - 2. What is the closest to 1 in d, b, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 9258140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d + 5*d + 13*d**3 - 2*d - 15*d**3 + 3*d**2 to the form a*d**3 + f*d**2 + c*d + v and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssqqhqsqqw. What is prob of picking 1 w, 1 h, 1 q, and 1 s?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*q**3 + 3*q**2 - 15*q**3 + 8*q**3 + 0*q**3 - q - 13*q in the form x*q + a + f*q**2 + z*q**3 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 1605*z - 6588. Calculate p(4).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1212\/(-15))\/(-4) - (348\/(-145))\/(-12).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -4. Suppose -3*g + 35 = t*i - 46, -107 = -4*g - 3*i. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -19, -2\/11, -2, 0.02, 2.6, 2.4?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 12:20 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 3*a**2 + 8*a - 3. Let v be s(5). Let o = 16 + v. Suppose -o*k = -k + 5*y - 65, 5*y = -4*k + 155. Is k a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 1 - 4*o**2 - 6*o + 5*o**2. Calculate the remainder when 2 is divided by u(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 294092 or 294094?\nAnswer: 294092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15454 or -64?\nAnswer: -15454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25 - -200244028?\nAnswer: 200244028.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - n + 3. Let o be p(0). Let u(w) = 32*w**3 + 2*w**2 - 2*w - 2. Let s be u(o). Suppose -s = 3*d - 3424. Round d to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g + 1 - 4*g + 3*g to q*g + d and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2*(o\/(o**(1\/3)\/o))\/o)\/(o*(o**1\/o)\/o*o*o*o*o**(1\/11))*(o**(-1\/2)\/o)**(-19\/2)\/(o\/((((o*o**6)\/o)\/o)\/o)*o**(1\/3)) assuming o is positive.\nAnswer: o**(2177\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence msyf when four letters picked without replacement from {x: 2, a: 1, m: 1, y: 1, s: 1, f: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 265 - 13. Calculate the remainder when g is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*n**3 + 4*n + n - 109*n**2 - 2*n + 109*n**2.\nAnswer: -36*n**3 + 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**2\/7 + 1773*x + 61980\/7 = 0. Calculate x.\nAnswer: -4132, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 21535 + 116*m**2 - 2*m - 43070 - 115*m**2 + 21538. Let n = 7 + -1. Give s(n).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 2*n + 27. Let p be r(-6). Let d(a) = a**3 + 8*a**2 + 10. Calculate the lowest common multiple of d(-6) and (-2)\/(30\/(-81))*10\/p.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**2 - j + 2. Let x be h(1). Let i = x - 12. Let r be 8 - -1 - (-3 - i). Solve -r*o - 18 - 7 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9417 = -9*m + 73*m + 177*m - 22*m for m.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2245 = -3*h. Suppose 1215 = 2113*g - 2098*g. Suppose -3*s = v - g, -7*s + 3*s = 5*v - h. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 6*s - 13*s**2 - 9*s - 6*s**2 + 25*s - 12*s to the form i*s**2 + m + h*s and give i.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 31*t**2 + 11*t - 668. Let h be n(-32). Let g(p) = 12*p. Let y(z) = -13*z. Give h*y(j) + 6*g(j).\nAnswer: 20*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13050?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 39017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2 = 5*a, 3*y - 23 = 5*a. Let x be y\/(-231) - 0*3\/(-3). Is x >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 212267?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 9*s**2 + s + 8. Let i be x(-9). Which is the biggest value? (a) -0.02 (b) 1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12402375 is divided by 4134041?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/33 and 25\/1816947.\nAnswer: 1816947","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -444055 (base 7) in base 10?\nAnswer: -78244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -6*m + 14. Suppose 3*v = m*w - 471, 952 = 4*w - 0*w - 4*v. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 + -11100110111101010000100?\nAnswer: -11100110111101010001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 1246 = -3*t + 4*h, 16 = 4*h. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -16 - (39 - 46)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g. Let k be (-6)\/(-3) - (2 - 2). Let s(x) = 4*x**k - 46 + 22 + 24. Determine h(s(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.26 + 1.63. Let j = -2.8 - h. What is j rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/11 (b) 2\/21 (c) 1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -233711796 or -233711802?\nAnswer: -233711802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 910251.\nAnswer: 3, 33713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.1 + 3. Let l(s) = -s**2 + 11*s - 10. Let q(u) = 4*u**2 + 5*u + 4. Let f be q(-2). Let j be l(f). What is the nearest to c in j, -2, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 + 70?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-8 - -9 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 2, 12, -5 in decreasing order.\nAnswer: 12, 2, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(9\/81)*(1\/70)\/((-24)\/40).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -9, 99, 1, -3, -5 in increasing order.\nAnswer: -9, -5, -4, -3, 1, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3209064*f - 64. Let w be b(-1). What is w rounded to the nearest one hundred thousand?\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1007 + 2013\/2. What is the third smallest value in 0.36, -2, l, 2?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14794046.\nAnswer: 2, 17, 19, 22901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d + 1. Let c be z(-1). Calculate the greatest common divisor of c and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 15*u**3 + 1633*u**2 - 221*u - 646. Determine y(-109).\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*z - 4 = 6, -25 = -3*d + 5*z. Suppose -5*w + 49 = 4*v, 2*v + d*w - 22 = -2*w. Let a(y) = -y + 8. What is the remainder when 3 is divided by a(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 2 (c) -286\/7 (d) 2\/5 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-17)\/((5 - 7)\/(2*-1)). Which is smaller: c or -15?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8676 and 99750141?\nAnswer: 2169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 30 = -0*u. Suppose -2*q = 2*y - u, 0 = -2*y + 4*q - 7*q + 14. Is y less than -4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -412*j - 8657. Give c(-21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -70*d - 9*d + 17775. Let g = 229 - d. Solve -3*y + g*z = -20, 5*y - 2*z - 22 = -z for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millimeter in nanometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a day?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.47144 grams in tonnes?\nAnswer: 0.00008247144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/1*0\/(((-48)\/(-8))\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -97, -170, -277, -430, -641, -922, -1285?\nAnswer: -1742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 295 and 177?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 1, 9 in increasing order.\nAnswer: 3\/7, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8551.\nAnswer: 17, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -76*u - 360. Let s be i(-5). Let t(g) = -g + 21. Give t(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-8)*4\/(-2). Let p = -4.8 + -0.2. What is the nearest to q in -3\/4, -3, p?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 11 = -2*h + 23, -4*h + 5*b = -54. Suppose -4*i = -3*u - h, 0*u + 2*u = -i + 4. Let f = -7 - -10. What is the closest to 0 in -1\/4, u, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*l + 331 + 11 = -201*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10, -10, -42, -92, -166, -270, -410?\n\"Answer: -v**3 - 13*v + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iff when three letters picked without replacement from {i: 5, f: 14}.\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 g when three letters picked without replacement from bmmmmmbgbb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 1518*g. Let b(j) = 15*j + 1. Determine v(b(k)).\nAnswer: 22770*k + 1518","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**6\/120 + j**5\/15 + j**4\/24 - j**2. Determine z(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -0.07 (c) -2\/41 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -341 + 341. Find b such that h - 1\/7*b**2 + 0*b - 1\/7*b**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 + -13 - (17 + (25 - 5 - 11))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 103, 13, -44, 1 in increasing order.\nAnswer: -44, 1, 13, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 8. Is 10 a factor of u + (3 - -92)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 260386938 and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 11) to base 9.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -213961, -427925, -641885, -855841, -1069793, -1283741, -1497685?\n\"Answer: 2*x**2 - 213970*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*j + 3*j. Suppose 43 = j*d - 26. What is the remainder when 44 is divided by d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -165 + 289 - 16 - 4*v + 404 + (5 + 2*v - 5)*(2 - 4 + 3) to u + x*v and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/8 in 1\/3651, -5, -2\/7, -2, -1?\nAnswer: 1\/3651","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u**2 - 3*u - 1 - 2*u - 6*u**2. Suppose -187 + 1 = 31*k. What is t(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + 1. Let q be (1\/3)\/(56\/882 + 22\/(-77)). Let w be (-2)\/(-5) - (10 - 10). Which is the closest to w? (a) q (b) -3\/8 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -215*i**2 + 643 - 215*i**2 - 641 - 170*i**2 as w + c*i + v*i**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5499509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.89 and 0.146.\nAnswer: 1.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 6:09 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (146\/(-73))\/(2 + 18\/(-2))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -83349 (base 13) to base 7.\nAnswer: -2001006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1190 divided by 1?\nAnswer: -1190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lctttgccjtccjcg. Give prob of picking 1 j, 2 c, and 1 g.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 8:30 AM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10526 - -10531. Solve -i*a + 2*o + 4 = -0, -3*a = -o - 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443.3 take away 10?\nAnswer: 433.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 113 or -1\/10?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -42 - 13. Let p(g) = -g - 7. Let j be p(h). Solve -c + 30 = -5*q + j, -27 = -2*c + 5*q for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 70 in -0.4, -2\/19, -11\/21?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19524.9 - -19525. Which is the third biggest value? (a) 1\/5 (b) 1852 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4588.006 + -4593. Let m = 0.006 - s. Suppose -17 + 5 = -3*t. Which is the third smallest value? (a) m (b) -0.6 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/sqrt(147))\/(1*sqrt(27)).\nAnswer: sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 - 1.3. Let b = 1484 - 1483. What is the closest to 2\/5 in c, b, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458037.436 times -1?\nAnswer: -458037.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 112274749 to the power of 1\/2, to the nearest integer?\nAnswer: 10596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -252 + -1134?\nAnswer: -1416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {y: 2, z: 3, l: 2, s: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37\/3 - -12. Let l be 2*2*(-51)\/(-1020). Let r = 1 - 4. Sort r, n, 2, l in descending order.\nAnswer: 2, l, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - -14890 - 2926\/(-209) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39467 + -220467. Round l to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/22)\/((-16)\/(-88)). What is the greatest common divisor of m and 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-2070)\/(-276))\/(6\/32) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*i**2 - 5*i + 104.\nAnswer: -10*i - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -12*b**2 + 4. Suppose 4 = 4*u + 15*g - 11*g, 0 = 5*u + 2*g - 8. Let k(v) = -12*v**u - 31*v**2 + 44*v**2. What is y(k(s))?\nAnswer: -12*s**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -4*c - 20, 0 = -c + 30*o - 25*o - 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3*sqrt(153) + -2)*6)**2 - (-2 + sqrt(153)*-5 + (sqrt(153)*-4 - sqrt(153))*1).\nAnswer: -46626*sqrt(17) + 1789778","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**3*d + 4*a**3 - 10*a*d - 6355*d wrt a.\nAnswer: -3*a**2*d + 12*a**2 - 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 9 = 5*u - 5, -3*u + 10 = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x + 3. Suppose 2*c = -3*u + 15, -3*u + 15 = c - 4*u. Suppose c = 5*p - 3. Let b(t) = 4*t + 5. Determine p*b(a) - 5*g(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 42, 148, 376, 768, 1366?\nAnswer: 2212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1281 and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + (sqrt(33) + (sqrt(264) - (sqrt(264)*-1 + sqrt(264)))\/sqrt(8) + sqrt(33))\/sqrt(3)) - (-1 + -1*(sqrt(176) + (0 + sqrt(176))*-3)))**2.\nAnswer: 40*sqrt(11) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3609 + -18044\/5. Suppose -3*v - 4 = -v. Let h = v - 0. What is the third smallest value in q, 1\/2, h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 778 = 3*k - 0*h, 5*h = k - 286. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 888816 and 192.\nAnswer: 3555264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (126\/24 - 6)*16\/(-6). Let v be 84 + ((-12)\/(-9))\/(t\/6). Let g = v - 63. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6794 + 54333. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 25, 5, 11028, -4 in ascending order.\nAnswer: -4, 5, 25, 32, 11028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -266482\/7 - -190128\/5. Let v = f + 314\/7. Suppose 0 = 3*m + 118 - 1. What is the common denominator of v and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126052*z**2 + 4*z**3 + 125959*z**2 - 252011*z**2.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -3*m - 2*g + 312, 4*g = -3*m + 312. Suppose 8*t = m + 32. Suppose -t*n + 724 = -13*n. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 329380 to the power of 1\/2, to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 44*j**4 + 5*j**2 - 36. Let r(s) = -66*s**4 - 8*s**2 + 54. Let q(w) = 5*r(w) + 8*v(w). What is the derivative of q(f) wrt f?\nAnswer: 88*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/14)\/((-6)\/(-42)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -5. What is the second smallest value in s, -1\/6, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12020 (base 3) to base 15.\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-5*(4 + (5 + sqrt(34)\/sqrt(2))*-5)*1.\nAnswer: -210 - 50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-111*t + 11*t + 49*t)*(0*t**2 + 2*t**2 + 0*t**2)*(-3 - 4 + 6).\nAnswer: 102*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -1\/10*s**5 + 3*s + 0 - 1\/6*s**3 + 0*s**4 + 0*s**2. What is the second derivative of m(v) wrt v?\nAnswer: -12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 973126303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1702?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1670, 2844, 4018, 5192, 6366?\n\"Answer: 1174*x + 496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 4*f + 2. Let q(s) be the second derivative of s**3\/6 - 72*s. Let o(x) = -c(x) - 2*q(x). Determine o(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 4*v = 24, 3*z + 10*v + 21 = 5*v for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-21)\/77)\/(3 + 141\/(-45)). Which is bigger: 3 or q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 179 - 108. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 900 + -900.2. Which is the nearest to 1? (a) -23 (b) -4 (c) -3 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/552 and 103\/552.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -3*w - 15. Let j = 277 - 1663\/6. Let s be -2*12\/8*(-1)\/(-3). What is the third biggest value in j, s, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2510993\/55 + -227283\/5. Let j = 198 - n. Which is the third smallest value? (a) -2\/5 (b) j (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 181*l**2 - 257*l - 21. What is the derivative of k(z) wrt z?\nAnswer: 362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.667 - -0.097. Let n = p + 0.67. What is the nearest to -2\/5 in 2, 2\/7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -2. Let w = -164 + 164. Let n = w + a. Solve -3*x - 15 = 2*j, j - 4*x - 20 = n*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 2 + 0 + 0 + 4 + (1 - 4 + 2)*(-5 + 0 + 4) + 0 - 7 + 1 + 11 + 2 + 35)*(-2*y + 2 - 2).\nAnswer: -98*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 75 or 72?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 - 498 - (-18 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 (base 4) in base 10?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(560\/21)*(350\/(-21))\/10\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19326\/11 - 1044473\/594. Find the common denominator of p and 161\/90.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, f: 1, l: 3}. What is prob of picking 1 f and 2 l?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4145*t + 178560. Calculate o(43).\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136, -137, -138?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(-6)*(-28)\/(-1274)*35.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-9)\/((-7)\/(-6 + 13)) + 3 and 104.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*j + 25 = 0, j + 21 = 3*m - j. Suppose -m*w + 3 = -57. Find the first derivative of -27 - 5*g - 2*g - 16*g - w wrt g.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/5208 and -89\/255864.\nAnswer: 7931784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -124 - -128. What is the smallest common multiple of v and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 2*r + 13. Suppose 0 = -5*u - 13 - 47. Is g(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1764252753?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 + 956*z + 18020.\nAnswer: (z + 170)*(5*z + 106)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-36 - -13 - -10 - -11)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*7.6\nAnswer: -0.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/((-3)\/(-4)))\/(46584\/46584)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 2*n = 0, -4*b - b + 15 = 5*n for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 110*j**2 + 17*j + 17. Let z(l) = -11*l**2 + 128*l + 42. Let k be z(12). Let o(f) = 37*f**2 + 6*f + 6. Calculate k*w(r) + 17*o(r).\nAnswer: -31*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 5*t - 2 = 0, 3*l = -5*t + 4*t + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -285 - -115. Let z = i + 170.1. Which is the third smallest value? (a) z (b) -0.5 (c) -51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**5 - 18*i**4 + 486*i**3 - 2592*i**2 + 5589*i - 4374 = 0. What is i?\nAnswer: -18, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(3*sqrt(560) + sqrt(35)))\/(((sqrt(112) + (sqrt(112) - (-2*sqrt(112) - sqrt(112))) - sqrt(112)) + sqrt(112))*-6))**2*-3.\nAnswer: -507\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2. Let t be 8\/24 + (-107)\/(-3). Suppose -5*n + x = -t, -2*n = -n + 3*x - 20. Let f(q) = 2*q + 5*q**2 - n*q**2 - 2*q. What is f(s(y))?\nAnswer: -3*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 789755468 to the nearest integer?\nAnswer: 28103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -51*d + 93. Suppose -15*h + 316 = -11*h + 5*p, 0 = d*p. Sort 1, h, -5, -1 in descending order.\nAnswer: h, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -1275*g**3 - 10176*g**2 + 25692*g - 480 = 0?\nAnswer: -10, 8\/425, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.949368 rounded to 2 decimal places?\nAnswer: 4.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 924 is divided by 317.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 103*b**2 - 27*b**2 + 5*b + 194*b**2 - 50*b**2 + 29*b**2 to t*b + h + d*b**2 and give d.\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 59, 20, 2\/77, 0, 2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 2*i - 148, -225 - 139 = -5*d + 4*i. Let o = 23 - -1. What is the remainder when d is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 t when two letters picked without replacement from tntn.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50700299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/1824 and 95\/12192?\nAnswer: 231648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -153148, -153152, -153156?\n\"Answer: -4*u - 153144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -127*r + 1987.\nAnswer: -127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 98633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -27, -51, -51, -21, 45, 153, 309, 519?\n\"Answer: t**3 + 6*t**2 - 49*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/(r\/(((r\/(r\/(r**(-7)\/r)))\/r)\/r*r*r))*r)*r*r*r*r*r**(-3))\/(r\/(r*r\/(r\/r**(1\/13)))*r*r**(-2)) assuming r is positive.\nAnswer: r**(144\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*p - 24 = 0, -6 = -5*p + 14. Let a = 6 - f. Solve 10 = -3*h - a*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001009416 rounded to six dps?\nAnswer: -0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3, 105, 275, 513?\n\"Answer: 34*o**2 - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 2. Let u(g) = -9*g**2 - g. Let x be u(-1). Let r = v - x. Solve -z + r*w - 1 - 1 = 0, 5*z = -w + 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12718 is divided by 81.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 9:20 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 2. Let v = -16 + 20. Let d be i(v). Let w = 24 - d. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -353 + 410. Suppose -4*p = 3*u + q, -p - 2 - 10 = 3*u. Let a(o) = -o - 20. What is a(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 101513, 406052, 913617, 1624208?\n\"Answer: 101513*q**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9031130 plus 2.69225?\nAnswer: -9031127.30775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.5 + -1.8. Let b = p + -7.7. Let u(o) = -o**2 - o + 15. Let z be u(4). What is the third biggest value in z, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -94*c**2 + 1. Let b be i(-1). Let v = 0 - b. Suppose -3*y = -3*s - v, 4*s - 17 = -4*y + 83. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -225 - -369. Is 24 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f + 6*f - 2*f)*(-2*f + 2*f + 2*f) + 2 - 5230*f + 16*f**2 + 5230*f to i + u*f + d*f**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 2. Suppose 0*h + 9 = -2*h - 3*v, 3*v = 3. Let q be -3*(16\/h)\/1. Suppose -2*i = -6*i - q. Calculate o(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*1 + -50*(-4)\/(-8). Let b be j\/(-16) + 6\/(-16). What is the lowest common multiple of (-8)\/(-6)*6\/4 - b and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/24 + (-26)\/312?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 750?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -30*m + 1. What is d(-4)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 287297454?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.3 - 9.1. Let o = 323.7987 + -325. Let l = w + o. What is l rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242242.15 rounded to the nearest 1000?\nAnswer: 242000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.7 - -2.3. Let f = s + -10.6. What is f rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-4)*-6*(-20)\/(-45).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2650662 (base 7) in base 9?\nAnswer: -581023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 8 + 304*b**2 - 2 + 340*b**2 - 646*b**2 - 1. Let w(v) = -2*v**2 + v + 6. What is -3*m(k) + 2*w(k)?\nAnswer: 2*k**2 + 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1405321250 + -1?\nAnswer: -1405321251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 36062362 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: -4088 times 22.634\nAnswer: -92527.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from orioootto. What is prob of sequence trti?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-6*sqrt(22)\/sqrt(2).\nAnswer: 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 65249277187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 57.07, 0.3, 7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 44*z - 101 - 417 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**4\/12 + l**2\/2 + 2. Let v(o) be the second derivative of r(o). Let t(s) = 4*s - 4*s + s**2. Determine t(v(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 17 + 16)*(3*y - 2*y - 2*y)*(-4 - 1 + 4).\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*a - 21 - 4 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -7*q + 4*q, 3*o = -2*q + 6. Suppose -5*c = 4*w - 26, c + 3*w - 18 = -w. Let l(i) = -9*i + 20. Let t be l(c). Solve o = -s + 1 - t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 233275, 466543, 699811, 933079, 1166347?\nAnswer: 1399615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 11314.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j**4 + 65*j**3 - 19*j**2 - 6*j + 6. Let b(x) = x**4 - x**2 + x - 1. Let s(w) = -6*b(w) - o(w). What is the third derivative of s(v) wrt v?\nAnswer: -24*v - 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r\/(r**(-4\/9)\/r))\/r))\/(r**(2\/73)*r)*r**(9\/4)\/(r\/(r*((r\/r**(-27))\/r*r)\/r*r*r*r)*r) assuming r is positive.\nAnswer: r**(78257\/2628)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(((w\/(w\/(w*w*w\/w**1*w)))\/w)\/w)))**(-16\/5)\/((w*w\/(w**2*w*w*w)*w)\/(w**(2\/9)\/w)) assuming w is positive.\nAnswer: w**(-89\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvvj when four letters picked without replacement from {j: 7, v: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372 is divided by 51.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/((c**6*c)\/c))\/c*c)\/c*c*c)\/c)**(-4\/3)\/(c\/(c\/(c\/(((c**(3\/8)*c)\/c*c*c)\/c*c)))*c**(5\/7)\/c) assuming c is positive.\nAnswer: c**(1399\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wi when two letters picked without replacement from {y: 1, i: 1, w: 2, p: 1, l: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 235491\nAnswer: 1\/235491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*z - 287*z + 2277 = 191*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 8:56 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 114*x**2 + 118*x - 332. Calculate the remainder when 685 is divided by m(113).\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 a, and 1 s when four letters picked without replacement from aiaippipiiaispiis.\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -185306.20001 + 185305. Let q = f + 1.2. What is q rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 235288 and 144.\nAnswer: 4235184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4403087962?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19497\/7 or 2784?\nAnswer: 2784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*t - 14*t - 1 + 0.\nAnswer: -28*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8565, -34313, -77225, -137301, -214541, -308945, -420513?\n\"Answer: -8582*x**2 - 2*x + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010010001110 + -11?\nAnswer: 1010010001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -148, -3 in descending order.\nAnswer: -3, -48, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -10*p - 1. Suppose 2*h = h + 4. Let t = h + -7. What is the remainder when d(t) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -287 + 408. Let l = 121 - g. Is l less than -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38579.\nAnswer: 173, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1.4863743 months?\nAnswer: 0.00123864525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-126))\/(24\/(-28)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 580, 3172, 9106, 19702, 36280, 60160, 92662, 135106?\n\"Answer: 220*u**3 + 351*u**2 - u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-8) - 5)*12\/(-14). Let g(f) be the second derivative of -1\/2*f**4 + 0*f**u + 0 - 1\/2*f**2 + 6*f. Calculate g(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -a + x + 47, -4*a + 188 = 3*x. What is the remainder when 2584 is divided by a?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 - 6*q - 7. Let l be g(5). Let p(n) = 3*n - 38. What is the units digit of p(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(250)\/sqrt(90))\/(-1*sqrt(320) - sqrt(5)).\nAnswer: -sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1463499, 1463421, 1463289, 1463103?\n\"Answer: -27*j**2 + 3*j + 1463523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -145931622 divided by -6\nAnswer: 24321937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 10.236.\nAnswer: 5.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ohmoboohhoooz. What is prob of picking 3 h and 1 z?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by (2\/6)\/(45\/675).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -996 + 985. Which is the nearest to x? (a) 5 (b) 2\/3 (c) 1\/4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 324*w - 616*w + 320*w)*(-3*w - 5*w**2 + 6*w + 7*w**2) to c*w**2 + a + n*w**3 + k*w and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*z + 9*z**3 - 4*z**3 + 8*z)*(-3*z + 5*z + z) to the form x + a*z**2 + y*z**4 + o*z**3 + d*z and give a.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-2\/5))**(-27)*g*g**(8\/9)*g*g**(3\/10) assuming g is positive.\nAnswer: g**(-623\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*f**5\/13 - 22*f**4\/13 + 8*f**3\/13.\nAnswer: 2*f**3*(f - 1)*(7*f - 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/6)\/(((-35)\/60)\/((-45)\/(-1800))).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 516?\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 - 1 - (-8)\/40*-80. Which is smaller: -60\/7 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -11*m**5\/12 - 2*m**2. Let b(t) = 3*t**2 + t - 2. Let y(d) = 49*d**2 + 17*d - 34. Let r(o) = 34*b(o) - 2*y(o). Give r(j(h)).\nAnswer: 12100*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g. Let f(v) = 5*v + 8. Let p(h) = -f(h) + 3*s(h). What are the prime factors of p(-9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*b - 10, -4*p = 4*b - 14 - 14. Suppose 3*z - p*a = -2*a + 1, 5*z = -5*a - 40. Let f(i) = -i**3 + i**2 - 2. What is the units digit of f(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-38)\/(-228)*2*1\/(-297). Does u = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 11534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 507089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) - (sqrt(190) - (sqrt(190) + (sqrt(190) - 1*sqrt(190)))))*-2)\/(2*-2*sqrt(10)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(168)\/sqrt(3) - sqrt(56))*6)\/sqrt(8))*2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11 + 2 - (-1 - 0). Suppose x = i + i. Suppose -4*f + 40 = -2*q, -2*f + 2*q = -i*f + 41. Solve 3*d + m = 2*m + 9, -2*m - f = -3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 7. Let d be w(9). Suppose -d*i = 4*t + 2*i - 220, -2*t = 5*i - 113. Calculate the highest common divisor of 135 and t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1723058 (base 9) in base 5?\nAnswer: 221211041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -257.8375 + 259. What is f rounded to 2 decimal places?\nAnswer: 1.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k + 7. Let p be x(1). Suppose -p*h - 3 - 1 = i, h = -4*i - 1. Which is the smallest value? (a) h (b) 1 (c) 0.3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1121 + 23121403?\nAnswer: 23120232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.079892 decades in millennia?\nAnswer: 0.00079892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1763411136 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 239 = -2*h + 7*h, 0 = -z + 3*h - 103. Let n be (24\/z)\/(2\/4). Which is the closest to -1? (a) n (b) -0.3 (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -835435*g**2 + 417791*g**2 + 417621*g**2.\nAnswer: -23*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 5:38 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.156294 weeks to nanoseconds.\nAnswer: 94526611200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-8)*(-20)\/4. Let w(r) be the first derivative of -5\/3*r**3 - 9 - 5\/2*r + g*r**2. Factor w(y).\nAnswer: -5*(y - 1)*(2*y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1053) + (sqrt(1053) - sqrt(1053)*-2) + -5)**2 + -1*(sqrt(1053) + -4 - sqrt(1053) - sqrt(1053) - sqrt(1053))*2.\nAnswer: -540*sqrt(13) + 16920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-85)\/(-2))\/(273\/(-2)). Let t = 1\/39 + q. Is t != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4392 and 50752.\nAnswer: 456768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 divided by 8?\nAnswer: 1011\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + 2*sqrt(121)*1)\/((sqrt(88)\/sqrt(4))\/sqrt(2)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 38*v**2 - 138*v + 77. What is y(34)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2*s + 1)*(3 - 3 - s) + s - 2*s**2 - s - 3*s**2 + 3*s**2 + s**2 - 10*s**2 - 15*s**2 + 17*s**2)*(-16*s + 2*s - 11*s).\nAnswer: 275*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*n + 2*y, -5*n - 65*y = -61*y - 62. Suppose 5*z - 59 = -24. Calculate the remainder when n is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c**2 - 14*c - 6. Let r be d(-4). Suppose -r*b + 6 - 6 = 0. Let s(k) be the second derivative of -k**5\/20 - k**3\/6 - k**2 - k. What is s(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l\/(l*l**1*l))\/l*l)\/l)**(-40\/3))**47*(l**(-1\/2))**(-36)*(l\/(l\/l**(-3)*l))\/l*l\/(l*l**0) assuming l is positive.\nAnswer: l**(3799\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of t**5\/60 + t**4\/12 + 11*t**3\/6 - 20*t**2. Is 6 a factor of o(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m - 12. Let l(w) = -w**2 - w - 3. Let f be l(-3). Let i be o(f). Solve 10 = 2*k, 2*k = h + i*k - 19 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0599 - -4.9401. Let r = 0 + 0. Which is the nearest to -1? (a) r (b) v (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -254 - -31. Let m = h - -106. Let d = 206 + m. What are the prime factors of d?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3132?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64 + -72. Let g(q) = -10 + 2*q + 12 + 3 + 17. What is the lowest common multiple of 6 and g(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -415093 divided by 133?\nAnswer: -3121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143786173.\nAnswer: 143786173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-8)\/j**(-2)*(j**(-5))**(-12) assuming j is positive.\nAnswer: j**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72062?\nAnswer: 2, 137, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/9)\/((-76)\/(-95)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -228 - -228.1. Let x be -4 + (310\/28 - 5) + -2. Sort b, 2\/19, 1\/3, x in descending order.\nAnswer: 1\/3, 2\/19, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 151074 and 363?\nAnswer: 1661814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35402, 134878, 298428, 526052, 817750, 1173522?\nAnswer: 1593368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4*i - 44. Let j be w(-15). Let y = j + -4. Solve -u = -2*a - 4, 4 - y = -3*a + 5*u for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/((-176)\/(-880))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5*o**3 - 2*o**2. Let x be s(-1). Suppose -x*w - 1117 = -2*c, -4*c + 4*w = -2*c - 1122. List the prime factors of c.\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -386, 5 in increasing order.\nAnswer: -386, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4310*g**5 - 81*g**3 + 27178*g?\nAnswer: 86200*g**3 - 486*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 600*g + 1046 - 1665*g - 5*g**2 + 7794.\nAnswer: -5*(g - 8)*(g + 221)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, b: 15}. What is prob of sequence bb?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*x + 5*w, -x + w - 293 + 299 = 0. Let l(g) = -g + 6. Let z(k) = 3*k - 12. Let y(o) = 7*l(o) + 4*z(o). Let v(f) = -f + 1. What is x*v(c) + y(c)?\nAnswer: 3*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 0, -13, -4 in decreasing order.\nAnswer: 4, 0, -4, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -402 and 0.3.\nAnswer: -401.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 216847889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnxnxxnxnnnnnnnnn. Give prob of picking 4 x.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 take away 7781390701.28?\nAnswer: -7781390701.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13423, 26846, 40269, 53692, 67115, 80538?\nAnswer: 93961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 3. Let p = 20 + -14. Suppose 0 = p*h - 9*h. Let w be u(h). Solve -28 = 5*a + j - 4, a = -w*j - 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 109, 118, 131, 148?\n\"Answer: 2*u**2 + 3*u + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 444005 (base 6) to base 11\nAnswer: 25a0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 >= 343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z*z**(-3\/14)\/z*z))**(2\/7) assuming z is positive.\nAnswer: z**(17\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7*g**2 - 77. Let b(r) = -15*r**2 - 152. Give -6*b(t) + 13*n(t).\nAnswer: -t**2 - 89","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12005083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4\/97857 + -10667173\/18592830. Let y = -511\/15 + 293\/10. What is the common denominator of y and o?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 285*v - 589. Calculate h(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 20*v - 6 - 7*v.\nAnswer: 13*v + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 4*p - 2*p)*(-p - 2*p**4 + p) + (51*p - 13*p**3 - 51*p)*(2*p**2 - p**2 + p**2) + p**2 - p**2 - 2*p**5.\nAnswer: -30*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3079, 15141, 35245, 63391, 99579?\n\"Answer: 4021*a**2 - a - 941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (32\/(-10))\/((-6)\/150*-5). Let h be -3 + (4\/(-14))\/(i\/112). What is the third biggest value in h, -0.13, -1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d + 246 - 675 = 0. Which is smaller: 34 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z. Let t = 36 - -4. Let k(a) = -7*a**2 + 8*a. Let c(r) = r**2 - r. Let j(g) = t*c(g) + 5*k(g). What is j(f(x))?\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + y + 2*y - 1266 = 0, -3*n - 2*y + 759 = 0. Suppose 10*v = 15*v - n. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5802053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1053) + (sqrt(1053) - (sqrt(1053) + sqrt(1053)*-1)**2))*-1 + -5*(0 + sqrt(468) + 4)**2.\nAnswer: -2420 - 222*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29 and 43.\nAnswer: 1247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3379 times -2.073\nAnswer: 7004.667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7841947833.9334 and 4.\nAnswer: -7841947829.9334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2)*o)**(31\/4))**44)**(-17) assuming o is positive.\nAnswer: o**5797","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -240 by 48.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 6*v + 2. What is the first derivative of 2*r + 9 - 2 + v*r wrt r?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4*(sqrt(114)\/((sqrt(33)*-2)\/sqrt(11)))\/(sqrt(10)\/(sqrt(15)\/sqrt(3))*-1) + -5.\nAnswer: -6 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 110900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260428.\nAnswer: 2, 7, 71, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -590\/83463?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r + 8\/3*r**6 + 0*r**2 + 1\/10*r**5 - 185\/12*r**4 + 0*r**3 - 10. Find the third derivative of a(f) wrt f.\nAnswer: 1920*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 1)*(12*g - 6 - 17*g + 2*g) + 2*g - 4*g - 3*g.\nAnswer: 4*g + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24978789*y**3 + 204*y**2 - 10*y - 509 wrt y?\nAnswer: -149872734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -155, 2\/7 in ascending order.\nAnswer: -155, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from tggggttgtttggtgg.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 992696813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 604 * -1136\nAnswer: -686144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 3:20 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9780 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 664*f**5 - 630626*f**4 + 4843254*f**3 - 3067834*f**2 - 1132270*f - 13188 = 0.\nAnswer: -1\/4, -1\/83, 1, 7, 942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -11*i + 3*h + 56, 4*i - 3*h = 38 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**8\/z*z)**(-8\/7)*z**(3\/7)*z**(3\/11) assuming z is positive.\nAnswer: z**(-650\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n - 71 + 71)*(-5 + 2 + 1)*(3*n + n - n) as z*n + m + r*n**2 and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -700.7 + 701. Sort 5, c, 2\/9, 3 in descending order.\nAnswer: 5, 3, c, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s. Let o be 6\/4*(-800)\/(-60). Let k(y) = 15 + 20*y - o*y - y**2. Give u(k(m)).\nAnswer: -m**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8172 and -1.4.\nAnswer: -11440.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 10. Suppose -3*v = -j*v. Determine w, given that 1\/4*w + 1\/2*w**2 - 1\/2*w**4 + v - 1\/4*w**5 + 0*w**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39931453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = -16*n - 543. Let t = n - -99. What is the greatest common divisor of t and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n - 1. Let p(w) = -w + 7. What is -f(u) - p(u)?\nAnswer: 2*u - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2603*u - 83798. Calculate r(32).\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 350 + -311 - (10 + -8)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 285.3173 rounded to the nearest ten?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1611382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*n + 4*n + 17*n + 0*n + n - 2*n + (-2*n + n - n)*(0 - 4 + 2) - 3*n - n + 3*n.\nAnswer: 17*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101010 + -11011111011?\nAnswer: -11101100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/597, -5, -1\/7 in ascending order.\nAnswer: -5, -1\/7, 1\/597, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y - 31*y**2 - 10*y**3 + 3*y**3 + 7*y**3 + 2*y**3 to the form h*y**2 + b*y**3 + k*y + r and give h.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (0 - 3 - 2) - (-172 - (-106 - -49))?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**6\/360 - x**4\/6 - 8*x**3\/9 + 43*x**2. Factor p(l).\nAnswer: (l - 4)*(l + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 + (1 - 0) + (8 - (-9 - -10))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4\/5 + 188418\/240 - (-13)\/104 and 524?\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1709, 0.1, -18 in decreasing order.\nAnswer: 1709, 0.1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 - 5*p**3 + 2*p**3 + 16)*((-2*p**2 + 3*p**2 - 3*p**2)*(0 - 3 + 1) + 0*p**2 - 3*p**2 + 0*p**2 + (5*p - 3*p + 0*p)*(2*p + p - 2*p)).\nAnswer: -9*p**5 - 30*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 23*w**3 + 8*w**2 + 4*w**2 + 5*w**2 - 3*w**2 - 7*w**2.\nAnswer: 23*w**3 + 7*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - -1)\/((-3)\/(-2)). Let r(v) = -v**2 + 6*v. Let c be r(6). Suppose c = -5*s + 10. Put s, -0.06, n in decreasing order.\nAnswer: s, n, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 0*w + 3*z - 1165, -w + 5*z = -1197. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9772543 rounded to 2 decimal places?\nAnswer: 3.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (54\/(-36))\/(3\/(-20)). Suppose -2*i = -3 - 5. Differentiate 2 + i*r - 4 + 2*r + b wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7656 - 7605. What is the greatest common divisor of n and 3621?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 687347 and 8900.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ezes when four letters picked without replacement from sesssesgz?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 13 = a + p, -2*p + 7 = 3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1*sqrt(3) + 2 - (sqrt(3) - (sqrt(3) + sqrt(6)\/sqrt(2))**2)*1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -140 + 1620. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1080.52711 to the nearest 10.\nAnswer: -1080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 18615201.89 to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1)*3\/12*-1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19)*1)**2*4 - sqrt(19)) + sqrt(19) + ((sqrt(133) + 2*sqrt(133) - sqrt(133))\/sqrt(7) - sqrt(19))**2 - (-1 + sqrt(76))*3*3.\nAnswer: -18*sqrt(19) + 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28748489.\nAnswer: 7, 11, 373357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/523520 and 7\/1920?\nAnswer: 1570560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/114 and 89\/110.\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 5125428.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17 + 1 + (-5 - -3). Suppose 4*n = -0*n - c, -25 = -s - 4*n. Does 9 divide s + (-1 - -3) + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (11 + -1)*3\/16.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 10:52 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 6, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51630270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u + 6 = -7*u - 2*x, -5*u + 5*x = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/(-312)*((-21)\/6)\/(-7). What is the nearest to -0.1 in m, 2, 0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 - -41. Let v be 3\/(k\/(-10)*-1). Solve -v*w + 3*w + 8 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**6\/40 + 5*s**5\/4 - 39*s**4\/2 + 8*s**2 + 544*s. Factor m(n).\nAnswer: -3*n*(n - 13)*(n - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-21) + ((-24)\/14)\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 16333*w - 244994. Determine s(15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/218 or -1?\nAnswer: -5\/218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 3\/2, 1\/8, 3\/7, -779?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -142*l*q**3*z + l*q**2*z**2 - 76*l*z**2 wrt q?\nAnswer: -426*l*q**2*z + 2*l*q*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f - 163 + 89 + 84. What is h(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/18*(-207)\/(-6) and -47\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 64691, 64746, 64801?\n\"Answer: 55*l + 64636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2982*c + 3400*c - 6930*c)*(-4 - 1 + 4 + (-2 - 2 + 3)*(-4 + 3 - 1) - 1 + 3 - 7).\nAnswer: 2192*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -11970798 divided by -1862\nAnswer: 6429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 4*x - x + 18, 0 = -3*q - 5*x + 16. Let i = -23279.8 - -23280. Which is the closest to q? (a) 1\/12 (b) i (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 7*n**6\/120 - n**5\/30 + n**2\/2 + 5*n. Let l(g) be the first derivative of c(g). Find the third derivative of l(d) wrt d.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z + 14. Let a be u(12). Suppose 2*l + 3*n - 16 = 9, a*l = -5*n + 27. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/6440, -17\/9, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-19)\/76)\/(21\/(-6) - -3). Which is the third smallest value? (a) -0.26 (b) -7 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**5\/20 - o**4\/12 + o**3\/6 + o**2\/2 + 2912*o. Let w(q) = 2*q**3 + 4*q**2 - 26*q - 4. Calculate -4*v(b) - w(b).\nAnswer: 2*b**3 + 22*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3578.005 micrograms in milligrams?\nAnswer: 3.578005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 7. Let y be (-40)\/(-45)*6\/8. Let u be 8\/(-6)*6\/20. Put j, u, y in ascending order.\nAnswer: j, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4*a**2 - 1 - 2*a**2)*(10 + 0 - 3)*(a - 9*a + 3*a).\nAnswer: -70*a**3 + 70*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-151*k**2 - 100*k**2 + 26*k**2)*(-7 + 5 - 5).\nAnswer: 1575*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86107 is divided by 104?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 90616.07 meters in micrometers?\nAnswer: 90616070000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3818 is divided by 9*7 + (-27 + 33)\/2?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 - 69. Let n be (16\/3)\/((-8)\/d). Solve 22*v = 24*v + n for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117482702.\nAnswer: 2, 857, 68543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -10*b**2 - 54*b + 84. Let a(w) = -2*w**2 - 11*w + 17. Let o(t) = -11*a(t) + 2*s(t). What is the units digit of o(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -4. Suppose 0 = 4*p + 3*j + j - 12, k*j = 3*p - 25. Sort p, 1, 3 in increasing order.\nAnswer: 1, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, i: 5, s: 4, m: 1}. Give prob of sequence dsms.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 1\/10 (c) 38 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in 0.1, 4\/7, 68308\/15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 11*u**2 - 2*u + 20. Let n be y(-9). Let o = 129 + n. Suppose 0 = -o*w + 10*w - 65. What is the greatest common divisor of 169 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -577*j**4 + j**2 + 10193*j?\nAnswer: -6924*j**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (39\/26)\/((-2)\/4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/4)\/((-42)\/28))\/(-15 + 14)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 28 = -5*q, 229*q - 626 = 233*q + 3*n - 603 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 2606 = 5*m - 2592, 4*j - 2*m + 28 = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10330844?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-667)\/116 - 3\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5253873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/10)\/(28\/(-70)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 556159, 556243, 556383, 556579, 556831, 557139, 557503?\nAnswer: 557923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56047 is divided by 364?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1526)\/(-21))\/(3\/18). Suppose -h = d - 5*d. Does 16 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 7*n - 4 = -3*n, 0 = -3*g - 4*n. Let b(u) be the third derivative of -u**5\/60 + u**4\/8 - 5*u**3\/6 + 6*u**2. Calculate b(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.4, -4, 82?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -225151225?\nAnswer: 225151224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*s, 9*x - 4*x + 4*s = 131. Let t be (-8)\/36 + 276\/x. Solve -29 = -4*a - 5*o - t, 5*o - 12 = 3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75479 (base 14) to base 7\nAnswer: -2260412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r**2 + 4*r - 8. Let l(o) = -o**2 + o - 1. Give h(s) - 5*l(s).\nAnswer: 2*s**2 - s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 0*b + 0*b**2 + 4 + 3\/16*b**4 + 1\/6*b**3 + 1\/20*b**5. Suppose t(k) = 0. What is k?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (3 - (3 - 2)) - -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 55*u + 3140. Calculate a(-57).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2068029 + -231?\nAnswer: -2068260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48973680 is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30608904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48*h**3 - 685*h**2 - 63721*h wrt h.\nAnswer: 288*h - 1370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h. Let x(a) = 16*a**2 + 84891. What is x(w(m))?\nAnswer: 144*m**2 + 84891","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 110531947638 and 0.5?\nAnswer: 110531947637.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -4. Let t(c) = 3*c - 3 + 3*c - 5*c - p. Does 2 divide t(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 988114 is divided by 2932.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16117038 to the power of 1\/2, to the nearest integer?\nAnswer: 4015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 6276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 168633593563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2566861421.\nAnswer: 37, 69374633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3048 is divided by 75.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1136 + -2021. Calculate the common denominator of (-4)\/18*u\/20 and -25\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4, -y - y + 4*u = -36. Let s be 1\/(-3) - 723\/(-9). Let q = s + -15. Calculate the remainder when q is divided by y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 8 = -5*s. Suppose -s*j + 8 = -20. Suppose -2*x + 48 = j. Does 5 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (81 + (-4 - 14))\/((-1)\/(-2)).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1253.\nAnswer: 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1964 + 1955 - (-27 + 0 - -1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 + p + 1. Let y be f(-5). Let j = 49 - y. Suppose -2*b = -5*t, -j*b = 4*t + b. Solve 0*h + h + 5 = t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -5 (b) -2 (c) 0.5 (d) 0 (e) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**3\/5 + 114*x**2\/5 + 312*x\/5 - 576 = 0.\nAnswer: -6, 4, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0350713 and 13?\nAnswer: -0.4559269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000855794635 rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.16 - -0.36. Which is the closest to k? (a) -3\/2 (b) -0.3 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*j + 17 = 0, 3*b + 14 - 35 = -3*j. Solve -b*i - 21 = 4*s, -5*i - 44 = 5*s - 14 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13973 + 13327.9. Round m to the nearest ten.\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 y when three letters picked without replacement from feihhfhhyfhihhlh.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/3*(-11)\/(220\/2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 34. What are the prime factors of n?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 18.89. Let g = x - -1.01. Round g to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 8*z + 65. Let n(v) = 23*v + 196. Calculate 17*c(u) - 6*n(u).\nAnswer: -2*u - 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3}. What is prob of picking 2 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 122. Let a(r) = 324500*r. Determine a(w(g)).\nAnswer: -324500*g**2 - 39589000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*o + 2*p, o + 18 = -4*p + 4. Let d = -30 - -32. Let y = o + d. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000707933 rounded to 6 decimal places?\nAnswer: 0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 2*a**2 + 0*a)*(3*a - a - 4*a)*(-25 - 64 - 56).\nAnswer: -580*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*r*v**3*z**3 + 92*r*v - 2*r*z**3 - 424*r*z + v*z**3 with respect to v.\nAnswer: 6*r*v**2*z**3 + 92*r + z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6589 + -2138. List the prime factors of v.\nAnswer: 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1241025423 (base 6) to base 14\nAnswer: 1d23447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**3 + l**2 - 1. Let b be z(-1). Sort -2\/15, b, -1\/8.\nAnswer: b, -2\/15, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 2*l**2 - 129*l - 588. Calculate u(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-1) - 3 - (-331 + -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 3*v - 3*v + (-1 + 1 + 2)*(2*v - 2*v - v) + v + 0*v + 0*v - 4*v - 2*v + 5*v)*(8*v - 10*v + 27*v).\nAnswer: -225*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-30)*6*-1. Let m = -126 - -39. Let u = m + 86. Sort 3\/4, -3, v, u in decreasing order.\nAnswer: 3\/4, v, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -i**4\/4 - 8*i**3\/3 - 9*i**2\/2 - 8*i + 420. Let y be 2\/(-4) + (-13)\/2. Give h(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*z + 360*z**2 + 14*z + 237*z**2 + 21*z.\nAnswer: 597*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2378.419 or -74?\nAnswer: -2378.419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8, 41, 36, -55, -280?\n\"Answer: -8*a**3 + 29*a**2 + 2*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 168, -2, -87, 4\/7, 10\/11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -9, -5, 2, -41 in decreasing order.\nAnswer: 2, 1\/7, -5, -9, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -1\/139558?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 344466361 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58 - -65. Put o, 2, 5 in increasing order.\nAnswer: 2, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*d - 23*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 3*h**2 - 6*h + 8. Let v be i(5). Find the second derivative of 23*z + v*z - 35*z + 10*z**5 wrt z.\nAnswer: 200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 46*t + 10. Let s be x(7). Suppose f = -b - 16 + 2, -5*b = -2*f + 35. Which is smaller: b or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 53 = 2*g + 3*s, 4*g - 5*s = 105. Suppose -4*k = g - 45. Solve 4*n - 5 = k*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 80\/1833 and (-10)\/(-329)*47\/(-282).\nAnswer: 12831","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5324) + (sqrt(5324) - -1*sqrt(5324)))*3*-1)\/((sqrt(4) - sqrt(24)\/(sqrt(30)\/sqrt(5))) + 6*sqrt(4)*2).\nAnswer: -33*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 20 - 56. Let t = o - 4. Suppose t*n + 3*a - 23 = 0, 3*n + 0*n - a - 11 = 0. What is the greatest common divisor of n and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1707?\nAnswer: 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5279650.85*3\nAnswer: -15838952.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 677 and 132643933?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 559*n = -362*n - 826*n + 174*n - 50336 for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2160 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(-8))\/(n**(-10)*n))**(-25)*(n\/(n\/((n**(-5\/6)\/n)\/n))*n)\/(n*n**(1\/3)*n)*(n*n\/(n*n\/n**2*n))**(-48) assuming n is positive.\nAnswer: n**(-3163\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**5\/5 + 616*i**4\/5 + 91066*i**3\/5 - 77803384*i**2\/5 + 1295175111*i\/5 - 1217463408\/5 = 0. Calculate i.\nAnswer: -343, 1, 16, 471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - -3) + (-2 - (13 + -6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18036567, 36073132, 54109697, 72146262?\nAnswer: 90182827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6933703.4 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - r + 3 + 0*r - 4*r + 2*r + (-2 + 2 + 2*r)*(-3 + 1 + 1) in the form n + g*r and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1234.8 and 1.\nAnswer: 1234.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/2 - 1601*z**2\/2 + 320800*z - 320000.\nAnswer: (z - 800)**2*(z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*f**5 + 203*f**4 + 177*f**3 - 5686242*f**2 wrt f?\nAnswer: -480*f**2 + 4872*f + 1062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 460\/(-69)*18\/45?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(((v*v**(-2\/3))\/v)\/v))**28*(v**(2\/7))**49)\/((v*v*v*v*(v\/v**0)\/v)\/v**5*(v**4\/v)\/(v\/(v**2*v))) assuming v is positive.\nAnswer: v**(254\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -338, -339, -340, -341, -342?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 3*h + 3*h + 0*h - h + h + 2 - 2 + h - h + h + 2*h - 4*h + 0*h + h - h + h + (h - 3*h + 0*h)*(1 + 1 - 1) + (-3*h - 3*h + 0*h - 2)*(2 + 11 + 0).\nAnswer: -80*h - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 1:30 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -285*u - 220 - 920 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i**3 - 111*i**2 + 973*i - 56. Calculate c(7).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 86892?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - 16. Let n = -22 - c. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4748 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65000\/663 - (779 + -681)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 44\/1100*(2 + -1). What is the third smallest value in -0.9, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*h + 2*h. Suppose 2*w + 2*v = 28, w - 5*v + 11 = h. Let b = w + -6. Sort b, -4, 2 in descending order.\nAnswer: b, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 4*a**2 - 5*a - 6. Let h be y(-3). Let g(o) = -13*o**2 + 5*o + 24. Let s(i) = -6*i**2 + 2*i + 12. Let p(m) = -4*g(m) + 9*s(m). What is p(h)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3534 divided by -19?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 20 = 2*z. Let w(b) be the second derivative of -7*b**3\/6 - 3*b**2 - 127*b. Let y(q) = 8*q + 7. Give z*w(a) - 4*y(a).\nAnswer: 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*u + 44 = 112*u. Calculate the least common multiple of 494 and u.\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -1752, -1, 0.1, 628?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 a when three letters picked without replacement from lylayylallylyya?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000302039742 to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2 + 14 = 0. Let b(f) = -4*f + 4*f + 2*f - f - v*f**2. What is b(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/8)\/(98\/(-76048)))\/(4\/(-1))\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**3 - 2*f**2 - 2*f - 4. What is r(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1312 + 2213?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001065945 rounded to 7 dps?\nAnswer: 0.0001066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 4)*(-1 + 85*s + 2*s - 3*s).\nAnswer: -84*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3 + 4 = 0. Suppose 2*r = 8, 3*r + 32 = 3*c + 5*r. Let w(t) = -2*t + 11. Let v be w(c). Put s, 3, v in decreasing order.\nAnswer: 3, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -635*c**2 + 85*c - 3. Let q(l) = -212*l**2 + 27*l - 1. Determine -25*q(p) + 8*u(p).\nAnswer: 220*p**2 + 5*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 5)*(4*u - 2*u - 4*u) - 1 + 1 - u + (5 - 4*u - 5)*(0 + 0 - 1) + 0 + u + 0 to the form g + o*u and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 194*y**2 - 378*y + 886. Determine m(-192).\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(5 + -3 + -3). Suppose h + 107 = -j, 9*j + 213 = -2*h + 6*j. Sort 1, -3, s, h in descending order.\nAnswer: s, 1, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -13.1. Let t be (-3)\/(-9)*-1*1. Let h = -0.05 - -3.05. What is the nearest to a in -0.3, h, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 - 1. Let v = 0.1 + a. What is the smallest value in 0.2, v, 1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 9\/6 + 290\/4.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 + 5*i + 7. Let y(m) be the first derivative of m**3\/3 - 3*m**2\/2 - 4*m - 313. Let l be (3 + -5)\/((-4)\/(-6)). Determine l*n(a) - 5*y(a).\nAnswer: a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -184\/89 bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1238 - -190. Let r = i + 4713. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1270696 - -0.5.\nAnswer: 1270696.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5727*s - 1. Let f(l) be the first derivative of 2*l**3\/3 + 8035. Calculate q(f(i)).\nAnswer: 11454*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in 3\/14, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -0.4 (c) -112 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*d**2 - 83 + 42 + 41 + 16*d**2.\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(20) + sqrt(80) - sqrt(20)))\/(sqrt(44)\/(sqrt(44)\/sqrt(4) + sqrt(11)) + sqrt(4)))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8398*z - 8399*z = o - 10, -o = 5*z - 26 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*v - 138*v - 4159 = 5*a, 4*v + 4*a - 8304 = 0. Put 4, -2, v in increasing order.\nAnswer: -2, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, b: 2, v: 3, s: 3, x: 2, d: 2}. Give prob of picking 1 b, 1 x, and 2 l.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwwmwwwwwwwwmwww. Give prob of picking 2 m.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -1518*y - 3. Let z(f) = f. Determine x(z(b)).\nAnswer: -1518*b - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13, -117, -293, -547, -885?\n\"Answer: -d**3 - 30*d**2 - 7*d + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 3*x**2 - 10*x**2 - 3*x**2 - 5*x**2 in the form f*x**2 + h*x + m and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(9 + 680\/(-102)))\/((-45)\/(-8)).\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (11 + 38 + -12)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 13 + 45*o**2 + 33*o**2.\nAnswer: 78*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 5*v - 16. Find the first derivative of 24 + 14*q**v - 9*q**2 + 14*q**2 wrt q.\nAnswer: 38*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -536968 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*t + 212 - 618, -4*t + 3*o + 329 = 0. Calculate the smallest common multiple of (-64)\/t*60\/(-1) and 14.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.57 to the nearest integer.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - 0 - (-1 + 1). Let u(z) = -57*z - 7. Let l(j) = 28*j + 4. Let o(y) = 5*l(y) + 3*u(y). Let i be o(g). What is i rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5036027?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 4\/3, 32\/13, -0.1, -2.556?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3265, 3678, 3961, 4114, 4137?\nAnswer: 4030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -176*(-3)\/(-2)*28\/84. Put -10, 4, m, -4 in ascending order.\nAnswer: m, -10, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 7:31 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + 0. Let a = 0.44 + -5.44. What is the closest to l in 6, -4\/7, a?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 206, 199, 192, 185, 178?\n\"Answer: -7*s + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2114531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 298*-0.46.\nAnswer: -137.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 7:10 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -2. Let g be 2\/2 - (-3 + 1). Factor -g + 2 - 21*t**3 + 6*t**2 + a.\nAnswer: -3*t**2*(7*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*12\/(-64) + (-21)\/(-12). Suppose 3*i - 15 = -2*i. Solve 3*l = 4*h - 4, -i*l + 5 = 4*h + k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 292911, 292909, 292907, 292905, 292903, 292901?\nAnswer: 292899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p - 5*p + 8*p + 8*p - 8*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 39065993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 161, 282, 491, 818, 1293?\n\"Answer: 5*y**3 + 14*y**2 + 44*y + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 141349*g**2 - 75517*g?\nAnswer: 282698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69 and 26031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (126*i + 178*i - 70*i)*(2 + 4 - 4 + 1 + 1 - 4 + (0 + 1 + 0)*(0 + 1 - 2) + 3 - 4 + 0 - 29 + 25 + 12) in the form w*i + n and give w.\nAnswer: 1404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 82 = i + 60, -4*i + 88 = -z for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 85890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 4*m + 32, 10504*m - 41 = -2*z + 10511*m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11334493 to the nearest integer?\nAnswer: 3367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*35\/700*4*-13?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 0, -141.\nAnswer: -141, 0, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 0.004?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4*(2 - (0 - -7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*z - 12*z - 6*z - z + 2*z + z + (1 + 3 - 6)*(1 - 1 - z).\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*x - 1456 + 1396. Let r(f) = -2*f**3 + 10*f - 3. Give r(x).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -7*f**2 + 4*f + 11. Let d(h) = 9 + 21*h - 3*h - 4 - 3*h**2 - 11*h - 5*h. Suppose -5*s - 4*v = -5*v - 23, -4*s = 5*v - 1. Determine s*q(u) - 9*d(u).\nAnswer: -u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((225\/10)\/(-5))\/((-9)\/3).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3893\/11 - 8\/(-88). Let x(u) = w*u + 347*u - 713*u. Let n(p) = -12*p**2. Calculate n(x(h)).\nAnswer: -1728*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of l**2*v + 2537*l**2 - 1875*l + 664591446*v - 12 wrt v?\nAnswer: l**2 + 664591446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 4*h**2 - 4*h + 6. Let k be z(-5). Let p(y) = y**2 + 11*y + 23. Let l be p(-9). Calculate the highest common divisor of l and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -23*n**2 - 20*n + 36. Let x be q(2). Let l = 9 - x. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -452 + 459. Suppose g*m = -4*m + 165. Let x = 6 + -3. Solve x*z = 8*z - m for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 68931?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*k = 7*k + 128, 3*u + 2*k + 98 = 0. Let n = -1 + 4. Calculate the lowest common multiple of n and -1 - ((u - -5) + -4) - -1.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15616 or -14555?\nAnswer: -15616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9462 = -8*s + 6*s. Suppose -h + s - 1830 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 2)*(2*k**4 - 2 + 2) + 6*k**4 - 4*k**4 - k**4 - 5*k**4 + k**4 + 0*k**4.\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/70 - 3\/(-30)*-4. Let o = -0.383 + 0.083. What is the closest to 0.3 in o, -0.2, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 7) in base 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -3*z**4\/20 - 8*z**3\/5 + 33*z**2\/10 + 54*z\/5 + 239. Determine s so that l(s) = 0.\nAnswer: -9, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238544*o + 238955*o + 46032 = 0 for o.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 936\/78*12\/(-16)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, a: 1, x: 1}. What is prob of picking 2 r?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j + 2. Suppose 0 = -2*q + 5 - 1. Calculate p(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*1326.63352\nAnswer: 397.990056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-2)\/3*65\/260.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -0*c. Solve -2*t + 3*w - 4 = 0, -4*w - 28 = 4*t - c*w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9858282521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -275824.198 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 429165 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.724556cm to kilometers.\nAnswer: 0.00000724556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 8*d + 1. Determine f(5).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 162711320?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 732, 2827, 7646, 16551, 30904, 52067, 81402, 120271?\nAnswer: 170036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of 23*s**5\/20 - s**4\/12 + 2*s**3\/3 - 3*s**2\/2 - 15*s. Is t(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -1, 27, 0.27?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000195 rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*(756\/(-375) - -2). Let x be (-1)\/(-4) + 13\/(-52). Which is smaller: x or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 90*g - 6871. What is y(103)?\nAnswer: 2399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 382399 to the power of 1\/5, 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 1478 is divided by 364?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20063, 80259, 180593, 321065, 501675, 722423?\n\"Answer: 20069*i**2 - 11*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**4 + 3 + 4*a - 6*a - 24*a**3 + 24*a**3 + 12*a**2 + 12*a**2 in the form t*a**3 + q + j*a**4 + h*a + r*a**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 + 0 - (-4)\/2. What is the remainder when (-198)\/l + 1\/2 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22763519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 824, 2793, 6586, 12803, 22044?\nAnswer: 34909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (12\/2)\/((-8)\/(-4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24\/5*n + 3\/5*n**3 + 0 + 34\/5*n**2.\nAnswer: n*(n + 12)*(3*n - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*f**3 + 0*f**3 + 43*f**3.\nAnswer: 73*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.419 * 0.3.\nAnswer: -4.0257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**6\/120 + 7*d**5\/80 + d**4\/4 - d**3\/6 - 2*d**2 - 12*d + 21. Factor z(u).\nAnswer: (u - 1)*(u + 2)**2*(u + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 177 + -169. What is the remainder when o is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -1703830.\nAnswer: -8519150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a decade in months?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -2*o**3\/3 + o**2 + 2*o - 99. Let a(u) = u**3 + 7*u**2 - 7*u - 7. Give -2*a(b) - 7*j(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-7)\/3)\/((-1)\/36). Find the common denominator of 1 + 0 - g\/40 and 95\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, -3\/13, 9 in ascending order.\nAnswer: -3\/13, -2\/17, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -x**5\/30 + 18*x**2. Let l(m) = -18*m. What is l(c(w))?\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1141 + -692. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -388 - -566. Let z be (6 + -1)\/((-3)\/(-87)). Let y = t + z. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (w + 3*w - 2*w)*(3 - 2 - 3) + 2*w - 6*w + 2*w + 3*w - 6*w + 0*w + (-w + 3*w - w)*(-4 + 2 + 4) - 10*w + 2*w - 2*w as r + g*w and give g.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 17486000 divided by -50\nAnswer: -349720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -12020011 (base 3) in base 8?\nAnswer: -7343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 13. Let d be 315\/36 - f\/8. Let k = 166 - d. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-2*(1*sqrt(162))\/sqrt(9))**2 + -6*(-1 + sqrt(648)))*-5.\nAnswer: -394 + 540*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -100104 (base 5) to base 7\nAnswer: -12124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q*(q*(q\/q**(11\/2))\/q*q)\/q)\/q*q))\/q**19*(q**(-2\/7))**(1\/15) assuming q is positive.\nAnswer: q**(-3049\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.808 - -5.308. Let o = -3.3 + 0.3. What is the nearest to 0.2 in u, 1, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -140\/97 - -76289\/43650. What is the common denominator of b and 17\/855?\nAnswer: 8550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -1021302453?\nAnswer: 1021302452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z + 49. What is p(-9)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 10 = 1367*x - 1371*x, 3*d + 7 = -0*x + 2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7769.8501398 and 5?\nAnswer: 7774.8501398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 + 32 + 20 - (-15651)\/(-3901)?\nAnswer: -1\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**4 - 2*p**4 + p**4 + (1 - 1 + 2*p)*(-91*p**3 + 71*p**3 - 212*p**3) as s*p**4 + g + n*p**3 + c*p + u*p**2 and give s.\nAnswer: -466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11165 + 11624. Calculate the least common multiple of 357 and z.\nAnswer: 3213","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5481243907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 3:52 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 12) to base 7\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 17*g - 39. Give v(19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/15424 and -31\/574400.\nAnswer: 138430400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 3 - (-13721 - 6\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -26*t - 87 - 107 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 10:04 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a millennium in decades?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 15, n: 5}. What is prob of picking 3 n?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q + 10. Let j(i) = -2*i - 10. Let y(d) = -13*d - 49. Let r be y(-4). What is r*u(f) + 4*j(f)?\nAnswer: f - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**6)**(-32)\/((w**(-10)\/w)\/(w*w**(-2\/13)\/w)))**15 assuming w is positive.\nAnswer: w**(-35325\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -8. Which is the closest to -0.4? (a) -2\/9 (b) -2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -195638\/13 != 70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4988*f**2 + 2*f + 1. Suppose 2*x - 10 - 36 = -4*c, 3*x = -3*c + 27. Suppose 4*l + c = -3*z, -5*z = -0*l + 5*l + 15. Is u(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 6:25 AM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*l - 2*q - 1, 2*l - q = 1. Suppose l = 5*z - 20. Suppose 5*u - c = 230, u + 4*c = -z*u + 205. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 3*i + 7. Let f be (-4)\/(-10)*(-3)\/(-6)*20. Suppose -f = -4*c + c + k, -10 = -5*k. What is the smallest common multiple of p(c) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.54 + -0.24. What is the second smallest value in 0.9, 5, i?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*b = 28*b - 39. Suppose 5788 = b*f - 1414. Does 21 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*f*t**3 - 12277741*f*t**2 + 6810982*f + 4 with respect to t.\nAnswer: -9*f*t**2 - 24555482*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (2 + -5 + 9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 22*j**2 + 66*j + 103. Does 78 divide n(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/28 and 21\/11492.\nAnswer: 80444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**3 - 28*z**2 + 39*z + 111. Let v be x(12). Let t(l) = -37*l**2 - 3*l. Let n(w) = -1000*w**2 - 80*w. Determine v*n(q) - 80*t(q).\nAnswer: -40*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 1568?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -18 - 2, -33 = -5*a + 2*m. Solve b - a*b = 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/5278 or -200?\nAnswer: -200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v**2 + 0*v**2 + 2*v**2 + 2 to p*v**2 + q + m*v and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1035535?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -771 + 121. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-324)\/5670)\/(15\/105)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30274621 is divided by 950?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*i + 207 + 261 = 50*i for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1735 + 1736. Suppose -q + y = -3, -4*q + 3*y + 9 - 1 = 0. Put 6, q, 2, v in decreasing order.\nAnswer: 6, 2, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18808618 is divided by 18808618?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 7, -3, 1, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = -5*b + 120 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4360 - 4365. Let p(d) = d**3 + 7*d**2 + 9*d - 7. Determine p(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-292144)\/(-48050)*50\/4.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -1\/3*i**3 - i**2 - 2 - i. Let y be a(-1). Solve 2 = w - y*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-126*u**3 + 151*u**3 - 2*u + 3*u)*(-19*u + 5*u + 73*u) to o*u**2 + i*u**4 + z*u + g + a*u**3 and give o.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25791 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -209098, -209324, -209700, -210226, -210902, -211728?\n\"Answer: -75*s**2 - s - 209022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -2. Suppose -2*y = 0, f*l + l - 5*y = 24. Suppose l = -4*z + v, 0*z + 5*v = 2*z + 22. Put z, 0.1, -0.2 in decreasing order.\nAnswer: 0.1, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*p + 25*p = -18 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -5, -989, 0, -2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 4*t**2 + t + 1. Let z be x(4). Suppose -37 = -3*j - z*v, 0 = -0*j + j + v - 9. Suppose j*i + 95 = 367. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 11*s**3\/6 - s**2\/2 - 17*s. Give h(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-108 - 40 - 36)*(-4 + 6 + 0) + (0 + 0 - 2)*(0 - 2 + 4))*(v**3 - 2*v**3 + 2*v**3) in the form f*v**3 + g*v**2 + r*v + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (20 - (16 + -7 + 7)) + -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*x + 275*x - 170 = 1142. Let l(s) = s + 4. Let y be l(-7). What is the smallest common multiple of x and 20 + y\/(-3) + -1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/4 of a milligram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/4770 and 121\/36666990.\nAnswer: 36666990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 980 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: Determine g so that 2*g**3\/5 + 14*g**2 + 64*g\/5 - 136\/5 = 0.\nAnswer: -34, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6353.866nm to meters.\nAnswer: 0.000006353866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = -2*n + 7*n, -4*h - 2*n - 840 = -n - 839 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 2*u + 0 + 1\/2*u**2 + 1\/2*u**3. Let j(v) = -v. Calculate 2*j(l) + q(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjvkdjjjkjjjjkvjjjj. Give prob of sequence jv.\nAnswer: 13\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 338 - 42. Suppose -10*z = -14*z - b + r, -z + 74 = 3*b. Calculate the remainder when z is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -149 - -208. Let d = m - 48. Calculate the greatest common divisor of 99 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9020.933 centuries to years.\nAnswer: 902093.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-7284)\/152 - 60\/760\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*y + 36*y + 1265400 = 0. What are the prime factors of y?\nAnswer: 2, 5, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o. Let z be ((-138)\/16)\/(-3) + 18\/144. Let d(h) = 20 + 6*h + 3*h + 2*h + z*h - 18. Give d(k(g)).\nAnswer: 14*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - 3*sqrt(3)*-1) + -5 - (sqrt(6)\/sqrt(2)*5*4)**2.\nAnswer: -1205 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-545)\/(-5886))\/(20\/18)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/((-2)\/((-128)\/(-6))). Suppose -2*v - 4 = -i. Let g = 19 - v. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 251.91 + 32.49. Let f = 284 - s. Let l = 17.1 + -1.1. Which is the third smallest value? (a) f (b) l (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 11. Let w = 184 - 183. What is the nearest to f in w, 1\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7916053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1655.\nAnswer: 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -123634*c. Let a(g) = g**2 + 91*g. Give n(a(y)).\nAnswer: -123634*y**2 - 11250694*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*l + 39431 = 255*l + 691*l + 167*l for l.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*l - 12*l - 15 + 7 + (4*l - 4*l - 2*l)*(0 - 3 + 4).\nAnswer: -6*l - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5 - 0.7. Let k = 18 - 15.3. Let m = k + 0.3. Sort -4, a, m in decreasing order.\nAnswer: m, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 194 + -127. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -0.3, 312.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 10*n**2 - 14*n + 4. Let x be z(-11). Suppose -3*s = -x - 339. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2. Let t(z) = -z + 1. Let p(m) = 5*m**2 - 25. Let q(j) = p(j) + 25*t(j). Let o(c) = -c**2 + 6*c. Let v(i) = 25*o(i) + 6*q(i). What is d(v(n))?\nAnswer: 50*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 788166 and 342?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -222?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 74.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 134, -1\/3, -2, 0.5, 7 in descending order.\nAnswer: 134, 7, 0.5, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/10)\/((-153)\/12).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 8:52 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -6, -0.5, -60, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 16, 50, 98, 154, 212?\n\"Answer: -a**3 + 13*a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11412\/156 + (-2)\/13. Suppose -a = -z + 6. Suppose i + 4 = z. What is the highest common factor of i and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 284.11022 + -122.\nAnswer: 162.11022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 11. Let y be o(-10). Solve -w + y - 3 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 6:46 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 272.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -814, -1641, -2456, -3253, -4026?\n\"Answer: y**3 - 834*y + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-279)\/(-72) + 2\/16. What is the first derivative of -33*f**4 + 4 - 25 - 3 - g*f**4 wrt f?\nAnswer: -148*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1161)\/(-576) + ((-9)\/12 - 0) and 49\/32.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1317255945.\nAnswer: 3, 5, 87817063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -200002010210212 (base 3) to base 16\nAnswer: -929b91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r = -18468 - 18135. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121221 (base 3) in base 14?\nAnswer: -60a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*d**3 + 4*d**4 - 152*d**2 + 45*d**4 + 3*d**3 + 2*d**3 + 4*d**3 wrt d.\nAnswer: 1176*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**3*r*r\/r**3)\/((r*(r**(1\/7)*r)\/r)\/(r**(-2)\/r)))**(2\/51))**(-2\/111) assuming r is positive.\nAnswer: r**(32\/39627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 25*i + 100. What is m(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*r**2*w**2 + 2*r**2 - 2*r*w - 101*w**2 - 1 wrt r.\nAnswer: -52*r*w**2 + 4*r - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 + 6 + (0 + 1 + 1)*(6 - 2 - 3) - 1 + 4 - 2 + 16 + 54 - 6 + 0)*(24*p**2 + 18*p**2 - 9*p**2) as y*p**2 + w*p + f and give y.\nAnswer: 2508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 148966.1 milligrams?\nAnswer: 0.0001489661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**3 - 23*m**2 + 5*m - 11. Let n(d) = 2*d**3 - 15*d**2 + 3*d - 7. Determine 8*n(q) - 5*o(q).\nAnswer: q**3 - 5*q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -x**4\/4 + 13*x**3\/2 - 18*x**2 - 798*x. Factor d(j).\nAnswer: -3*(j - 12)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0212 rounded to 2 decimal places?\nAnswer: -1.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*y + 15*y - 30*y + 7*y - y + 600 to the form c + s*y and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 78, 201, 452, 867, 1482, 2333, 3456?\n\"Answer: 6*w**3 + 28*w**2 - 3*w + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -k**5\/30 - 16*k**2. Let a(j) = -38*j. What is z(a(n))?\nAnswer: -2888*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 564849.\nAnswer: 3, 62761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(3\/45)\/(32\/(-20)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -52 (base 15) to base 4\nAnswer: -1031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 3*r**2 - 2*r. Let m be q(-3). Let g be 7696\/(-14) - m\/21. What is g rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52168814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 12:38 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293950 is divided by 688?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((83 - 40*g + 80 - 161)*(2*g + g - 2*g) + (g - 3*g + 3*g)*(-g + 4 - 4))*(0 - 2*g**3 + 0).\nAnswer: 82*g**5 - 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5411*o**2 - 10826*o**2 + 5421*o**2.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/6, 775133, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + sqrt(832))**2.\nAnswer: -80*sqrt(13) + 857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 941316 and 2085108.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t**3 + 2*t**2 + 6. Let f(u) = 3*u**3 - u**2 - 5. Suppose -1 = 4*o + 5*w - 13, -5*o = 5*w - 10. Give o*k(n) - 3*f(n).\nAnswer: -n**3 - n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 1056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-8) - 15\/168?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 2*c - 10 = 0, 423 = 4*g + 2*c + 441 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*2)\/(246 + -253)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3999513 smaller than 3999513?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 20*l + 263. Let p be u(-9). Solve p*q = -8 + 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -p**3\/3 + 4*p**2 + 5*p - 4. List the prime factors of z(7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b - 10b7ba2?\nAnswer: -10b8011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 - 219*r**3 + 3*r**2.\nAnswer: -219*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 3:41 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2723322?\nAnswer: 2, 3, 7, 59, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1396 + 666 + 120*u - 601*u + 730.\nAnswer: -481*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-76) + 8\/(-1672)*-60\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 603 + 65 = -55*t + 118 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 22.661.\nAnswer: 67.983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011001111000100100010 - -100?\nAnswer: -10011001111000100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 - 3479 + 3479.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.2 and -10.0479664.\nAnswer: -11.2479664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -9 - (-11 + 9 + 5 - 2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -1, 8, -16, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*r**2 - 36730165 + 36730165.\nAnswer: 144*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.3 and -0.00605.\nAnswer: 0.007865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w**3 + 11*w**2 - 9*w + 35. What is l(4)?\nAnswer: 623","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-10))**49*(g**25\/g*g*g*g)\/g**(1\/15) assuming g is positive.\nAnswer: g**(-6946\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -7. Let w(h) = 1. Let m(k) = k**2 + 5*k + 1. Let y(f) = m(f) + 5*w(f). Let v be y(d). Solve -4*i - v*o - 2*o = 20, -o = 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -100*j + 50. Let b(g) = -g**2 - 15*g + 5. Let h be b(7). Let z = -86 - h. What is the remainder when f(-2) is divided by z?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -19*v + 3152. What is y(162)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6*i**2 + 14. Let g(v) = 2*v**2 - 5. Let w be 0 + 4*(-2 - -7). Suppose 0*c = -2*c + w. Let x = -5 + c. What is x*s(f) + 14*g(f)?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -135624 (base 10) to base 6\nAnswer: -2523520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**0\/p*(p\/p**(-3\/7))\/p*p**3\/(p*p**2*p*p) assuming p is positive.\nAnswer: p**(-18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4, -4*t + 14 + 10 = n. Let h = 82 + -57. What is the remainder when h is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 6*o**2 + 10*o + 9. Let m be q(-4). Let l be m\/(1*5\/10). Let f be 2\/((-8)\/(-3) - l). Solve 4*d + j - 14 - 1 = 0, -f*d = j - 11 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2010 (base 3) to base 13.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqhqhqh. Give prob of picking 2 h and 1 q.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52227 - 182391 - 73780 = -8*j. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5829*c + 981288 = -5853*c for c.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1189 = 4*v + 3*j, 9 = 3*j - 6. Let f be (-8)\/(-12) + v\/(-21). Is (3935\/f)\/(2\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/(-18) - -1 - 27\/(-3888)*16. Let b(v) be the second derivative of 1\/10*v**5 - 216*v**2 + c - 3*v**4 - 24*v + 36*v**3. Find p such that b(p) = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*u - 1126211, 1202369 = 4*u - f - 299254. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -3*s - 5*t, s + 3*t = -2 - 14. Let i = -0.6 - -0.4. Let g = 1.6 + -1.2. Which is the third biggest value? (a) g (b) i (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1685, -6725, -15135, -26921, -42089, -60645, -82595?\nAnswer: -107945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 4, -1\/5, -61?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4\/5 - 9*h**3\/5 - 12*h**2\/5.\nAnswer: 3*h**2*(h - 4)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 5:32 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 120.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.343158 hours in nanoseconds?\nAnswer: 8435368800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -i**6\/120 - i**5\/30 + 7*i**4\/24 + i**3\/2 + 264*i**2. Give h(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1902 and 3.\nAnswer: 1902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/14)\/(-2*(180\/(-35) - -5))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/39, -0.24, -280 in descending order.\nAnswer: -1\/39, -0.24, -280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3689 in 11, 3, -4, 0, -2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 2. Suppose 3*l + 12 = a, 23 = 2*f - 5*l + 1. Calculate the lowest common multiple of 6 and -2 + 3\/f - -3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -33.7 (b) 48 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*b + j + 304 = 0, 14*j = 3*b + 9*j + 4 + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 757 + -758. Let v = -27809\/44 - -632. Is c < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22002112 + -211212?\nAnswer: 21020200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -24, 2, -1, -4.\nAnswer: -24, -4, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21\/2 + -1115\/106. Let v = 14.2 - 9.2. Put v, -0.1, s, -5 in decreasing order.\nAnswer: v, s, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m\/(m*(m\/((m*m**(-9))\/m*m))\/m))\/m)*m*m)\/((m\/(m\/(m**(5\/2)\/m*m*m)))\/m*m) assuming m is positive.\nAnswer: m**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/3 (b) 641 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five quarters of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, y: 3, f: 1, v: 5, s: 6, m: 2}. What is prob of sequence ymf?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 725487458 to the nearest integer?\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, -4, -30, -66, -112, -168, -234?\nAnswer: -310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhqqh. Give prob of picking 1 q and 2 h.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.796 - -6.9. What is k rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2663 is divided by 132.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + 120, -126*w + 20*d = -130*w - 696 + 224 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 - 49 = x. Solve -h = -x - 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -376 - -383. Suppose 4*b + i*b = 88. Calculate the greatest common divisor of 376 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4 + 16 = 0. Let x = -2 - z. Calculate the remainder when 11 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 73, 8, -93, -224, -379, -552, -737?\n\"Answer: h**3 - 24*h**2 + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -44670, -89322, -133986, -178668, -223374, -268110, -312882, -357696?\n\"Answer: -k**3 - 44645*k - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h - 12. Let v(q) = -q + 4. Calculate the smallest common multiple of l(8) and v(-7).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*f**4 + 34224*f**3 + 2070154 with respect to f.\nAnswer: -28*f**3 + 102672*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + m + 2, 480*m - 485*m - 122 = -18*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -15*r**3 - 1238*r**2 - 249*r - 7. Let n(j) = 19*j**3 + 1238*j**2 + 251*j + 8. Let l(d) = 3*n(d) + 4*x(d). Find the second derivative of l(k) wrt k.\nAnswer: -18*k - 2476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = -b, b + 11 = 4*k. Let v(z) = -2*z**2 - z**k + 5*z**2. Let u(n) be the first derivative of -10*n**3\/3 - 3. Give u(v(l)).\nAnswer: -40*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10956)\/(-104082) - ((-680)\/(-19))\/(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4 - 21*o**3 - 30*o**2.\nAnswer: -3*o**2*(o + 2)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, w: 2, m: 2, l: 1, p: 2}. Give prob of picking 1 k, 1 l, and 2 w.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minus -3924617?\nAnswer: 3924637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -7 - (12 - -2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -24246 (base 14) to base 16\nAnswer: -158c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 72662507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = y - 44, -3*x = 5*y + 136 - 391. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2636\/7 - -10565\/28. Let g = -0.4 - -0.3. Suppose 0 = -2*r + 2 + 2. What is the nearest to g in r, w, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59184 + 59182. Let s = -2 - 0. Let z be (-2 - -1) + (-7)\/s. Which is the third smallest value? (a) n (b) z (c) 0.5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/147 and -1\/7455.\nAnswer: 52185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0291094 minus -1?\nAnswer: 0.9708906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 8479359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a millennium in years?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -l**3 + 25. Let v(p) = -13*p. What is r(v(i))?\nAnswer: -507*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}