diff --git "a/data/dm_maths/full_data_2/8043_11255.jsonl" "b/data/dm_maths/full_data_2/8043_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/8043_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the difference between 0.0461690119 and 589734?\nAnswer: 589733.9538309881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -309, -1143, -2487, -4335, -6681, -9519, -12843, -16647?\n\"Answer: h**3 - 261*h**2 - 58*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0493 - 60.3493. Let s = 63 + f. Let u = s + -0.8. What is u rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 0 + 12*d - 7\/3*d**3 + 7*d**2. Differentiate r(i) wrt i.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(2\/3))**(-1\/28)\/(y**(-2\/7)\/(y*y**7)) assuming y is positive.\nAnswer: y**(695\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.09 and -4226.088?\nAnswer: 380.34792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 13 = -2. Suppose 3*k = 2*y - 16, -3*y + y + 16 = v*k. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.83 - 3.63. Let x = 0.14 - -13.86. Let o = -13.5 + x. Which is the fourth biggest value? (a) 2 (b) o (c) 7 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of t**6 + 110308*t**4 + 103066*t**2.\nAnswer: 120*t**3 + 2647392*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252*k + k = 158*k + 1138290. What is the remainder when k is divided by 255?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 7*b**2 - 8*b - 3. Let v be a(-6). Suppose 0 = -3*y - 0 + v. Let g(r) = 4*r**3 + 8*r**2 + 9*r**3 - 15*r**3 - 5*r + r**y - 10. What is g(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -5*l, 3*k + 5*l = l for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 42508, -7, -0.0538?\nAnswer: 42508","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -14*x + 54. Find the third derivative of -10*f**x - f - f**3 + 27*f**2 + 23*f**5 + 13*f**3 wrt f.\nAnswer: 1380*f**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15.632521 and -5?\nAnswer: 78.162605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3231 (base 4) to base 9.\nAnswer: -283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -452, -443, -420, -377, -308?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o = -0*o + 48 + 472 for o.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 5*j**3\/3 + 3*j + 1747. Let l(y) = -3*y - 4. What is q(l(o))?\nAnswer: 45*o**2 + 120*o + 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378119.\nAnswer: 7, 19, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 4, 2*a + 4840 = 15*s - 14*s. What is the thousands digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*x**3 - 333 + 676 - 340 as l*x**2 + v*x + j*x**3 + k and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 3*o**2 + 5*o + 12. Suppose z - 28 = -2*n + 4*z, 0 = 3*n + 5*z - 23. Let r(c) = -2*c - 2. Calculate n*r(g) + 4*p(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1926 a factor of 1981202626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, -51 in decreasing order.\nAnswer: 6, -2, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n**2 - 328*n + 1006. Give c(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i**4\/2 - 505*i**3 - 15271*i**2\/2 - 5822*i + 1314 = 0.\nAnswer: -73, -18, -1, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 0 + -1 + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -24. What is the nearest to -1\/6 in 1\/3, 0.2, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 317365\/14649 + 10\/4883. Find b, given that 5\/3*b**3 + 115\/3*b + 55\/3 + s*b**2 = 0.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -150 (b) 3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57 - -56.705. Round r to 2 decimal places.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4321484 and 3184?\nAnswer: 17285936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 6*o**2 + 6*o + 8. Let q(p) = 11*p**2 + 12*p + 15. Let l(w) = -7*d(w) + 4*q(w). Factor l(f).\nAnswer: 2*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -339, -57, -137.\nAnswer: -339, -137, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25873797791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -13*v + 84 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 10*f**2 + 56*f + 25. Let t(j) = -5*j**2 - 27*j - 13. Let y(p) = 3*g(p) + 7*t(p). Let v(s) = -s**2 - 4*s - 3. Give -11*v(d) + 2*y(d).\nAnswer: d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -12. Suppose -4*q - 4*s + 3*s + 5 = 0, 3*s - 2 = q. Let x(n) = 12*n**3 - n + 1. Let i be x(q). Solve -3*d - 5*o = 4 + 10, c*d = -5*o - i for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5*r + 3)*(-r + 3 - 3) + (5*r - 4*r + 4 - 6)*(2*r - r + r).\nAnswer: -3*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243)*-2 + -1*(-1 + sqrt(3)) + (sqrt(1920)*3)\/sqrt(10).\nAnswer: 1 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 4*t - 77 = 0, 165*t - 161*t + 17 = 7*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (-70)\/(-90) - (-39)\/27. Solve 0 - 20\/3*g - m*g**2 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**3\/2 + 7*q. Let w(u) = -u**2 - u**2 - 2*u**2 + 6*u**2. Determine w(b(g)).\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230427.\nAnswer: 3, 25603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 359 - -1100. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7885 + 26066. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 divided by -622?\nAnswer: 51\/622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ani when three letters picked without replacement from {n: 1, g: 2, i: 9, a: 1, k: 1, c: 1}.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z - 4 = -17*n - 46, 6 = -3*n - 3*z for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29\/2 of a hour?\nAnswer: 870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/31, -2, -0.06 in ascending order.\nAnswer: -2, -0.06, 2\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -3 (c) -0.5 (d) 2\/7 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, v: 1, y: 1, g: 3, q: 1}. What is prob of sequence vig?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 220684366122\nAnswer: -220684366120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8, -9, -8, -5, 0, 7, 16?\n\"Answer: p**2 - 4*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.81 - -0.51. Put -4, 3, -2, q in decreasing order.\nAnswer: 3, q, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -42*k**2\/13 - 46*k - 556\/13 = 0?\nAnswer: -278\/21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6951066609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(0 - l + 0) - 592 + 289 + 495*l + 301.\nAnswer: 493*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h = 4. Let m(t) = -t + 5. What is the units digit of m(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 131 + 127 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 2*w**2 - w)*(0*w**2 + w**2 - 3*w**2) - 2 + w**4 + 2 - w**4 + 4 - 4 - 6*w - 43*w**4 + 90*w**4 - 45*w**4.\nAnswer: 6*w**4 - 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/72 and (-948)\/(-405) - 96\/60.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 2:22 AM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28535 or 28701?\nAnswer: 28701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -702739.4 and 796789?\nAnswer: 1499528.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 18*(48\/9)\/8.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/11 + 702*a**2\/11 - 2*a\/11 - 702\/11.\nAnswer: 2*(a - 1)*(a + 1)*(a + 351)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in millimeters?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8095?\nAnswer: 5, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 12:35 PM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(78\/534) + (-4)\/(-26). Let v(q) = 4*q - 75. Let g(i) = 5*i - 112. Let a(y) = b*v(y) - 5*g(y). Let k(m) = -2*m**2. Determine a(k(n)).\nAnswer: -6*n**2 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/30)\/((-72)\/120)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-1 - -7 - 11) + (13 - -1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14902362 not equal to 14902362?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10332 minus 0.04?\nAnswer: 10331.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bzb when three letters picked without replacement from zbzzzb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -30b36 (base 14) in base 13?\nAnswer: -415ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.27 + 2.73. Which is the second biggest value? (a) u (b) 13 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 2\/25, -46, -39\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 451 - 100209.\nAnswer: -99758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15158654, 30317308, 45475962, 60634616, 75793270?\nAnswer: 90951924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1352.416 rounded to 0 dps?\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 14*r**2 - 11*r + 6. Let g(w) = 3*w + 2 + 0*w - 7*w + 5*w**2. Let i be (28\/20 + -1)\/(2\/5). Let j be 61 + -57 + (-1)\/(i\/7). What is j*d(p) + 8*g(p)?\nAnswer: -2*p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a - 25. Let i be j(10). Solve -8 = 2*n, 2*n = i*u - 22 + 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 107*o**3*t - 2*o**3 + o**2*t - 28*o**2 - 4 wrt o?\nAnswer: 642*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -0.3, 5, -2\/43, 2\/15 in descending order.\nAnswer: 5, 2\/15, -2\/43, -0.3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -4, 5 in increasing order.\nAnswer: -4, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5023784.\nAnswer: 2, 627973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6 (b) -0.2 (c) 25 (d) 1\/10 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -225 + -3?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 28*d - 185. What is the remainder when 14 is divided by y(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzw when three letters picked without replacement from zrmrwwdk?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -4*y + 20, k + 17 = 5*y - y. Suppose -2*b = -b - 5, x = y*b - 17. What is the third derivative of -7*w**2 + 15*w**x - 7*w**3 - 12*w**3 wrt w?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 408361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1050\/(-56))\/(-25)*(-4)\/(-6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 5*c**2. Suppose 772*t = 771*t. Let l = 3 + -3. Suppose l = 2*y - t + 8. Let k(b) = 4*b**2. Determine y*i(a) + 5*k(a).\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 1 = -4*h + 15, 3*h - 3*w = 18. Solve n + k = -2, k = h*k - 9 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 247 = 2*q + y, 0 = -2*q + 4*y + 128. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -99084*a**3 + 297244*a**2 - 198144*a - 16 = 0.\nAnswer: -2\/24771, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -54, 32, -3 in descending order.\nAnswer: 32, -2, -3, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus -757857.2333?\nAnswer: 757857.5333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/5)\/(2125\/34)*(-9)\/((-468)\/130)?\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -11, -2, 4 in increasing order.\nAnswer: -11, -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a - 9. Let d be p(4). Suppose 120 = -3*r - d*r. Let s be (-14001)\/(-4) - (-5)\/r. What is s rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -2474*b + 2472*b + 6, t - 5*b - 19 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23272 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99558.423 milliseconds to days.\nAnswer: 0.0011522965625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 250324 (base 7) in base 11?\nAnswer: 31442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5 = -h, 2*k = -3*h - 27. Let s(z) = z**3 + 7*z**2 + 3*z - 8. Let q be s(-6). Let v = k + q. Solve 25 = 5*y, 5*o + 3*y - 17 = v*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1516 + 64*n - 1516)*(3 - 3 - 2)*(2 + 3 - 6)*(-2*n + n + 2*n)*(13 + 5 + 5) as x + l*n**2 + g*n and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**3 - 598*z**2 + 44400*z + 45000 = 0 for z.\nAnswer: -1, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.158 and 497.\nAnswer: -78.526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 260, 238, 216, 194, 172?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**5\/20 - k**4\/6 + k**3\/3 + 2*k**2 + 6*k. Determine y(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9663 + 4071 = 3*n. Is (n\/9 + -1)*6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3, 1\/8, -1\/6, -0.5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*-8\nAnswer: -0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 264599?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 8*k**2 - 47*k + 324. Let o be w(7). Let j = 16 + -19. Sort j, -4, 4, o.\nAnswer: -4, j, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -0*h - 6. Let d = h + 4. Let b = 67.9 + -67.7. What is the second smallest value in d, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 divided by 21.\nAnswer: -50\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 1. Let g(w) = -w - 1. Let s(q) = 2*g(q) - 3*m(q). What is s(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -125*i. Let n(o) = -77*o**2 - 1915*o. Give s(n(l)).\nAnswer: 9625*l**2 + 239375*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -1\/8 (c) -0.4 (d) -6963 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m - 45, 0 = 4*n - 0*n + 7*m - 71 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and -85 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 0)*(-7 - -7). Suppose -2 = -5*c - 3*p + 20, j = -5*c + 3*p + 28. Solve -21 = -c*u + 4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7456 = -351*k - 115*k for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1015.13756 - -84116.3\nAnswer: 85131.43756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21018865 by -35.\nAnswer: -600539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000091067014 rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - q = 0. Suppose q = -l - 3*r - 12, 5*l + 12 = -3*r + 4*r. Let y be (6\/14)\/(l\/2). Put 3\/5, -2, y in decreasing order.\nAnswer: 3\/5, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5843040 by 17760.\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*p = -4*p + 2, 5 = -2*l + p. Let b be (-6)\/27 + l\/(-9). Is 3*15 + 2 + b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73971531 to the power of 1\/3, to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 212112 (base 4) to base 7\nAnswer: 10104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 95350 to the power of 1\/2, to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 111002 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 111558 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1323249352?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -2 (b) 0.6 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78130 and 170599860.\nAnswer: 6010","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*u + 7*u. Determine v so that 59*v + 9*v - 33*v - 30 - u*v**3 = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s - s + 0*s)*(-s - 3*s - 2*s + (1 + 3 - 2)*(5*s - 2*s - 4*s) - s - 1 + 1 - 4*s + 4*s - 2*s) in the form r + q*s + f*s**2 and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 83*t - 2714. Let b be z(34). Calculate the greatest common factor of b and 2862.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -1 + (-2)\/(-1). Let g = -2 + q. Suppose g*b + 2*b = -5*d + 22, 5*b - 13 = -2*d. Which is smaller: d or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -974724, -975309, -975894, -976479?\nAnswer: -977064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 7*j - 12*j + 159551 = 0, 2*d - 79774 = -4*j. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + ((-330)\/(-35) - 4). Let y = -20.4 + 20.481. Let l = y - -1.919. Sort l, 4, 1\/2, r.\nAnswer: r, 1\/2, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -2*j**5\/5 - 761*j**2 + 3*j. Let x(d) = 3*d - 19. Give z(x(t)).\nAnswer: -216*t**2 + 2736*t - 8664","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -8066 at most -8065?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4648496 divided by 4\nAnswer: -1162124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2745492 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 a when four letters picked without replacement from {v: 9, a: 11}.\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48940908?\nAnswer: 2, 3, 4078409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/17*x**2 + 4\/17*x + 2\/17*x**4 + 8\/17*x**3 + 0.\nAnswer: 2*x*(x + 1)**2*(x + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30820957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.16*1746\nAnswer: 279.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*w - 18 = -0*w, 0 = 2*p - 5*w + 2. Let m be (p\/609)\/(-2 - 1). Let x = m + -4894\/6699. Calculate the common denominator of x and -16\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 d when two letters picked without replacement from {d: 4, e: 3, u: 2, c: 3, r: 4}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51012 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/22*1430\/(-260) - 15\/6\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 5 + 2)*(t + 3 - 3) + t + 3*t - 3*t - t + 4 - 4 + 0*t + 2*t - t)*(-t**2 - 5*t**2 + 4*t**2)*(6 - 3 + 2).\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - k = -5, -13 = -5*a + a + k for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/13, 0.3, -3, 2, -279428?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13445863?\nAnswer: 19, 707677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3367020 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-3*sqrt(170)*-5)\/(((sqrt(90) - 5*sqrt(90))\/sqrt(9) - sqrt(10))*-1))**2.\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 3*j**4 + 2 - j - 4*j**4 + j**4 as o + p*j**3 + i*j + q*j**4 + r*j**2 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 - 27. Suppose 9*x - i*x - 940 = 0. What are the prime factors of (-20)\/15 - x\/(-6)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20801605667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -7*a + 88. Let f be c(12). Solve 4*b = 2*k - 0 - 10, -f*k - 10 = -2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eppeeppeppppe. What is prob of picking 2 p and 2 e?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8*6\/(-96)*12. Solve -2*g = -u, -v - 5*g + 9 = -4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2163*h**4 + 27*h**2 + 295451*h wrt h?\nAnswer: -25956*h**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1523 in 3, -3\/7, 0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*m + 76*m + 71*m - 112 = 0 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -2, -7*s = 4*o - 12*s - 22 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 8 = -24. Let t be 4 + ((-110)\/15)\/2. Put s, 2\/9, 0.3, t in descending order.\nAnswer: t, 0.3, 2\/9, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10226 or -551?\nAnswer: -551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 2*c - 10, -4 = -2*z - 2*c - 0*c. Let x be (-6)\/(-9) + (-20)\/(-6). Suppose -4*v + 4*f = 12, -v = x*v + 2*f + 1. Is v bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/10, -5\/4, 1, 1\/7, 4, 0.32 in decreasing order.\nAnswer: 4, 1, 0.32, 1\/7, -1\/10, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 16 = -1. Let q = 51 - h. Let b = 82 - q. What is the greatest common divisor of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (-6)\/3 + 2. Suppose j = -0*n + 2*n - 8. Suppose 0 = 3*y + k - 3, 3*y + 0*y - 18 = n*k. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 11 - 20)*((-2*v - v + 5*v)*(4 - 3 - 2) + 6*v - 2*v - 3*v - 456 + 456 + 36*v).\nAnswer: -1050*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000134025 rounded to 7 decimal places?\nAnswer: -0.000134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t + 0*t - t**2 - 3*t - 3*t + 1. Let r be v(-6). Solve r - 2 = -5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 6\/(-2))\/(-2). Suppose 0 = -4*a - 3*k + 56, -r*k - 28 = -2*a - k. Calculate the highest common factor of a and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 (base 7) in base 2?\nAnswer: -1110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2 + 6*n - 50*n**2 + 52*n**2 - n. Let j be w(-12). Suppose -z - z = j. Round z to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**3 - 130080*y**2 + 780615*y - 1170990 = 0. Calculate y.\nAnswer: -26022, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*q + 43*q - 18816 = 0. What is the greatest common factor of q and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1647, 6579, 14799, 26307, 41103, 59187, 80559?\nAnswer: 105219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -27*q - 5. Let i(h) = -h**2 + 29*h + 5. Determine -2*i(a) - 3*x(a).\nAnswer: 2*a**2 + 23*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/10 and 63\/397246.\nAnswer: 1986230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 5*a**2 - 2*a - 10. Let p be f(-5). Suppose p = -4*k + 12. Solve -2*h = k*h - 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u*u*u**(2\/5)*u))**(1\/12))**(-20) assuming u is positive.\nAnswer: u**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y - 7. Let n be q(-9). Suppose -2*f - f + 18 = 0. Suppose 0 = -o + f - 2. Solve 0 = -n*x + o*x + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1314, -1334, -1360, -1386, -1406, -1414, -1404?\nAnswer: -1370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 770 and 333445.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 1200535?\nAnswer: -1200531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2\/9))**32\/((r\/r**0)\/(r**7*r)) assuming r is positive.\nAnswer: r**(287\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021017319 rounded to 4 decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v - 5. Let l be d(7). Let a be 3 + -2 + 17 + l. Let u be (1\/2)\/(1\/8). Solve 2*y + t - a = 5*t, -3*t - 15 = u*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = o + 2*l + 2*l, -5*l = 2*o - 253. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(112)*-5 + -4*sqrt(28)\/sqrt(4)))**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 164890333 a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 308119399027 from 37.\nAnswer: -308119398990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 121599 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2938*u - 14675. Calculate d(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*(-49)\/((-2107)\/(-1634)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3594306843.\nAnswer: 3, 61, 6547007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/12 + 1)*-4. Let u(m) be the first derivative of -2*m**4 - 619. Give u(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 17?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5400464, 5400458, 5400452, 5400446, 5400440?\n\"Answer: -6*b + 5400470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r + 5. Let p be g(4). Suppose n + 5*c = -8, -p - 1 = c. What is the derivative of 8*t**2 + 0*t**n + 7*t**2 + 12 wrt t?\nAnswer: 30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-10 + 3)) + 2 + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uumu. Give prob of picking 2 u and 1 m.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67 + 3571*n**2 - 76 - 66 + 209)*(12*n**2 + 3*n - n - 3*n).\nAnswer: 42852*n**4 - 3571*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56\/3 + -19. Let i = -9 - -6. Which is the second smallest value? (a) 0.2 (b) i (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 11*v**2 - 25*v + 29. Let z be g(-7). Sort 3, -2, z, -39, 1 in increasing order.\nAnswer: -39, -2, 1, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 3*m - 168. What is the greatest common factor of 35 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 0 - 1) + -4 + 6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4618895911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/17 and 1877\/84 - 12 - 2\/21?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -254\/50947 and -15 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*w - 325, -3*w = -7*w + 4*f + 396. Let b = w + -99. Solve -4*l = -0*l - b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -145921, -145918, -145915, -145912?\nAnswer: -145909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.11 and -92?\nAnswer: 10.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.3 (b) 1 (c) 93 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -101111110?\nAnswer: -110000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1070308 times 0.3?\nAnswer: 321092.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/10)\/((-41)\/3690) + 6\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(17)*3 + (sqrt(1377) - (sqrt(1377) + (-2 + sqrt(1377) + sqrt(1377) - sqrt(1377)))) + (0 + (sqrt(204)*-2)\/sqrt(12) + sqrt(17))**2*5.\nAnswer: -12*sqrt(17) + 87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 491 divide 11914372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 290 and 261?\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-2)\/4*5. Suppose -2*t + 10 = 3*t. Suppose -f - t = -37. What is the greatest common factor of n and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 5 - 0. Let u = 0.1 - 2.1. Let v = -191 - -190.7. What is the closest to r in -5, u, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ycz when three letters picked without replacement from zmmyyzgmmzcmymcmaz.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - h**2 + (3*h + 5*h + h - 4 + h + 4 + (-2*h - h + 5*h)*(-2 + 2 + 1))*(6*h - 10*h + 14*h).\nAnswer: 119*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2146 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 39*d**4 - 35757*d**3 - 113142*d**2 - 16560*d = 0. What is d?\nAnswer: -3, -2\/13, 0, 920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2484499?\nAnswer: 17, 101, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 150\/15400*154*(-8)\/6*(-22)\/(-8)\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 279879.5 millilitres in litres?\nAnswer: 279.8795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6583 (base 9) in base 7?\nAnswer: -20103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 20*f**2 - 10*f + 40. Let p = -484 + 464. Does 21 divide m(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r - 7. Let h(g) = 2*g - 3. Let i(d) = -2*d**2 + 23*d - 21. Let w be i(10). What is w*h(f) - 4*k(f)?\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert c9633 (base 14) to base 6.\nAnswer: 14234113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2be + 4?\nAnswer: -2ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 9. Let x(g) = -g**2 + 5*g - 1. Let p be x(4). Suppose -p*z = a - 130, -2*z = -a - 74 - 6. Calculate the greatest common divisor of t and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69\/115 - (5 - (-429764)\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 127*r**2 + 5 - 289*r**2 - 5 - 5.\nAnswer: -162*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-1) + 2*3. Suppose c*m - 73 = 119. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t - 2. Let h be z(5). Suppose -2*n - h = -9, -3*d = -5*n + 66. Let o = 31 + d. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-12)*4 + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47837.\nAnswer: 47837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18323730 and 6.\nAnswer: 18323730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 7*t**2 + 30*t - 48. Let b(q) = -3*q**2 - 14*q + 24. Suppose -4*g - 12 = 0, -4*f = -3*f - 2*g. Let m(c) = f*x(c) - 15*b(c). Factor m(n).\nAnswer: 3*(n - 2)*(n + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 35 = -25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.18 - -0.18. Let b = -25.968 - -25. Let g = b - f. Round g to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4834284 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2*t + 54, 0 = j + 150*t - 154*t + 9. Let i(k) = k**2 - 13*k - 25. Calculate i(j).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, p: 7}. What is prob of picking 1 p and 2 y?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4651, 4624, 4597, 4570, 4543?\n\"Answer: -27*c + 4678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) 34\/3 (b) -1 (c) 2\/5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 1414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 3 + 7 + 14286932*i.\nAnswer: 14286932*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 183638 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 6*x = 4*r + 12, 4*x - 117*r + 116*r = 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 660 and 39.\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120880854.\nAnswer: 2, 3, 137, 49019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 468*p**3 - 598 + 279*p**3 - 1162 - 2*p**2 - p + 2*p**2 wrt p.\nAnswer: 2241*p**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + q + 4. Let n be u(0). Suppose -l = 4*l - b - 40, 3*l - n*b = 24. Let x = -24 + 38. What is the remainder when x is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -1. Suppose m*k + a - 428 = -2*a, -a = -2. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 5*n + 50, -c + 0*n + 12 = n. Which is smaller: 8 or c?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11769 is divided by 620?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i + 4*i - 2 - 3*i)*(3 - 3 + 1) to r*i + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/994 and -43\/7?\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 172?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (39*u + 34*u - 67*u - 26)*(-3*u**3 + 0*u**3 + 4*u**3) as b*u**4 + p*u**2 + t*u**3 + i*u + j and give t.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 b when two letters picked without replacement from xvexeeeeeeeeveexeeb?\nAnswer: 13\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*p - 38*c + 35*c, 0 = 3*p + c - 15. Solve 5*j = 10*j + 6*x - 51, p*j = x + 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*u**3\/5 - 10*u**2 - 196*u\/5 + 46.\nAnswer: 2*(u - 5)*(u - 1)*(8*u + 23)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -499*b. Let i(f) = -2*f**2. Determine i(y(j)).\nAnswer: -498002*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (144\/(-10))\/(9 + (-552)\/60). What is the greatest common divisor of j and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -220.2575 to 1 decimal place.\nAnswer: -220.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5807.\nAnswer: 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 569882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*n - 8 = n, 3*y = 5*n - 20. Suppose -h + 2*h - 5*k - 13 = y, 4*k + 2 = -2*h. Let f be -2 + 1 + (3 - 1). Put -4, h, f in descending order.\nAnswer: h, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 + 8*c + 4. Let y(g) = 3*g**2 + 16*g + 8. Let b = -15 - -10. Let x(w) = b*s(w) + 3*y(w). List the prime factors of x(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2. Let t(f) = 12750*f**2. Calculate t(l(x)).\nAnswer: 12750*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m - 4*m**2 + 2 + 0 - 2*m**3 + m**2 - 11. Let h be z(-3). Let b = -28 - -47. Solve 0 = 5*q + b + h for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*y - 228 = -224 - 554 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72714570*r + 72714555*r + 3 - 3.\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(22) - (sqrt(22) + -3*sqrt(22)*4))\/(sqrt(2) - sqrt(200)*3).\nAnswer: 12*sqrt(11)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (19 - 1) + -7764 + 7762.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 581 a factor of 11039?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -0.1617366\nAnswer: 0.3234732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2671 - 2664. Let b(o) = 11*o**3 - 7*o + 4. Let k(c) = 16*c**3 - 10*c + 6. Give z*b(j) - 5*k(j).\nAnswer: -3*j**3 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 240375.\nAnswer: 1442250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2654 rounded to 2 decimal places?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 11:04 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/882 and -22\/432915.\nAnswer: 2597490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -6\/37 (c) 81 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -227*u**2 + 2*u - 33. Let n(c) = -114*c**2 + c - 18. Determine 11*n(i) - 6*s(i).\nAnswer: 108*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 397\/5 + -79. Is 1.688 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 4*b - 1. Suppose j = -4*q + 18, -3*q + 38 - 12 = 2*j. Let o = -8 + j. Let c(v) = 3*v. Determine o*s(k) - 3*c(k).\nAnswer: -2*k**2 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 651.55169 + 4.9\nAnswer: 656.45169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 937953 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 s(g) = 17*g**2. Let v(w) = 4*w + 8. Determine s(v(h)).\nAnswer: 272*h**2 + 1088*h + 1088","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 75, -87, 16 in descending order.\nAnswer: 75, 16, 2, -3, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 137 - 82. What are the prime factors of h?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - -5. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (51\/68 - (-3)\/(-4))\/1. Let q(l) be the first derivative of -7\/5*l**5 - 4 + l**3 + m*l + 0*l**2 + 0*l**4. Find the third derivative of q(b) wrt b.\nAnswer: -168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 4*i + 4*i)*(i**2 + 2*i**2 - 2*i**2) + (2*i**2 + 4*i**2 - 5*i**2)*(-3*i - 2 + 2).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 296 and 36326378?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 114132914 times -3\nAnswer: -342398742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 366\/14 + 2\/(-14). Suppose 0 = l + 2, -3*a + f = 2*a - 3*l. Suppose -4*n + a = -5*k, 0*n = -k - n + 1. Solve k = 2*p + p + 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a**3*r + 386*a**2*y - 4*a*r - 5*r*y - 2*r + 47*y wrt a?\nAnswer: -6*a**2*r + 772*a*y - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3776 - 3594. Let l(r) = r**2 - 4*r - 4. Let s be l(-4). What is the highest common divisor of c and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6756403 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4*-1 - -1)*388\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 11. Let l be 3 + (-4)\/22 + u. What is the second biggest value in -5, -4, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 15*w - 17*w + 25, 2*w - 4*l = 18 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -57*o**2 + 8*o - 6. Let f(z) = 7*z - 17. Let m be f(8). Let t = m + -33. Let k be r(t). Round k to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13631\/649 != 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60012645 by -12002529.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*u**3 - 21*u**3 + u**2 - 1506 - 868 - u**2 wrt u.\nAnswer: -90*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 38*i**2 - 330*i + 249. Calculate g(12).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 6*a - 7. Let r be b(6). Let f = -5 - r. Factor 2\/5*j**f + 0 - 2\/5*j**3 + 4\/5*j.\nAnswer: -2*j*(j - 2)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11494304, 11494298, 11494292, 11494286?\n\"Answer: -6*f + 11494310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21122 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 w, and 1 v when four letters picked without replacement from ykkkkkwwkyykkwvkky.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.77349 to 1 dp.\nAnswer: 29.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h - 2*h - 3*h)*(h**2 - h**2 + 2*h**2) + (-1 + 1 + h)*(2 - h**2 - 2) to the form l*h**3 + j*h + c + k*h**2 and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43049323?\nAnswer: 4327, 9949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: 1004328 divided by 52\nAnswer: 19314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -5*v**8\/336 - 17*v**4\/24 - v**2. Find the second derivative of r(a) wrt a.\nAnswer: -100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*h = 57*h - 48. Let f(j) = -6*j**3 - 16*j**2 - 20. Let t(g) = g**3 + 3*g**2 + 4. What is h*t(p) + 3*f(p)?\nAnswer: -2*p**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 + 2*m - 3. Let g(i) = 8*i**2 + 6*i + 411. Let r(l) = -g(l) + 3*q(l). Let h(b) = -2*b. Give h(r(n)).\nAnswer: 4*n**2 + 840","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 0*s - s)*(41*s**4 + 44*s**4 + 126 - 84*s**4).\nAnswer: s**5 + 126*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205 + 45 = 12*g + 20 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -4*a + 16, 3 - 23 = -j + 2*a. Let l be j\/(-24) + 9\/36. Which is greater: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1188 = -3*f - 3*f. What is the greatest common factor of f and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010111 (base 2) to base 7.\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 587566*l**3*z**3 + l**2*z - 728967*l*z**3 wrt l.\nAnswer: 3525396*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1798, 3612, 5426?\nAnswer: 7240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*p + 3 + 7*p**3 + 0*p**4 - 3*p**4 - 5*p**3 + 3*p**3 + 17*p + 3*p**2 to c*p**4 + a + r*p**3 + f*p + s*p**2 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 40 = f, -3*f - 5*h + h = 136. Let u = f - -52. Calculate the smallest common multiple of 2 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -35.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o**2 - 9. Let c(x) = -x**2 + 2. Let v(j) = -9*c(j) - 2*u(j). Let i(f) = 6*f + 4*f - 7*f. Determine i(v(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 36*h**3 - 11*h**2 + 5*h + 3. Let r(o) = 12*o**3 - 4*o**2 + 2*o + 1. Let k(g) = -11*r(g) + 4*y(g). Give k(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161735\/25 - (-2 + 36\/15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 396826, 396825, 396824?\nAnswer: 396823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 5*j + 19. Let z be u(-8). Let r be (z + 2)*(-8 + 7). Solve -r*y + 5*f + 32 = 0, 0 = -y - 4*f - 19 + 7 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 42\/5 of a century?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*o + 102 = m, 5*m = -5*o + 590. Let l(w) = -2*w**3 + 15*w**2 + 6*w + 46. Let x be l(8). Calculate the greatest common divisor of m and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25.68 + -13.92. Which is smaller: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**4 + 26940*g**3 + 26958*g**2 - 134724*g + 80829 = 0 for g.\nAnswer: -3, 1, 8981","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*b**4 + 106604*b**2 - 2*b + 35638914 wrt b.\nAnswer: 216*b**2 + 213208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000013477 to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 2*q - 4*q - 6, 0 = -3*q - 12. Let s = 2 - w. Suppose 0 = s*z - 27 - 29. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8124023897 minus -0.1?\nAnswer: 8124023897.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 2*a + 3. Let r be b(-3). Suppose -131 = -r*c + 145. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*p = 60, 2*w + 2*p = -3*p + 30. Let c = -7 + w. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(156)*2)\/sqrt(12).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 1110\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1905.409t to kilograms.\nAnswer: 1905409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 64.04638 - -335036.\nAnswer: 335100.04638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -123 + 123. Let m be -8 - 4 - (w + -8). Let b(i) = 12*i**2 + 2*i + 6. Let n(h) = 23*h**2 + 3*h + 11. Give m*n(q) + 7*b(q).\nAnswer: -8*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*d + 383 = 113 - 186 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 17. Let u be k(5). Suppose 9*m - u = 20*m. Let x = -0.1 + -0.1. What is the closest to 0 in m, -0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033599767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vlyn when four letters picked without replacement from {l: 1, v: 5, y: 1, m: 6, g: 6, n: 1}?\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5326127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -473626, -947231, -1420840, -1894453, -2368070?\n\"Answer: -2*u**2 - 473599*u - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*g - 140*g = -971*g - 194*g - 52228 for g.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(2\/41))**22*(h**15)**(-10) assuming h is positive.\nAnswer: h**(-4390\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 49080 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: What is the common denominator of 1\/74548260 and 103\/8283140?\nAnswer: 74548260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 1 - (-5 + 5). Suppose 8 = 4*v + p*g, -2*g = -6*g - 16. Let b(r) = 66*r + 64*r - 129*r - v. What is b(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 1.36, 5\/2, 13046, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -238144400 divided by -65.\nAnswer: 3663760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.712 less than 115?\nAnswer: 115.712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 4. Suppose -21 = 407*n - 410*n. Let k(l) = -l**2 + 20*l - 80. What is the smallest common multiple of v(3) and k(n)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1112 + 3?\nAnswer: 1115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -2*s**6\/35 + 142*s**5\/35 - 589*s**4\/7 + 184*s**3 + 4232*s**2\/7 - 266*s + 2. Solve a(d) = 0 for d.\nAnswer: -2\/3, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 - 31. Suppose -5*v - 2 = m*f, -v = f + 2*v + 2. Let z(i) = -i + 1. Let p(k) = -10*k - 1. Let l(j) = f*p(j) + 2*z(j). Determine l(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**3 + 34*a**2 - a**3 - 24*a**2 - 5*a**6 wrt a?\nAnswer: -600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -2*z - 4*a, 13*z = 9*z - a + 136. What is the greatest common divisor of 133 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17791479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 48 + 12 = 0. Let n = d - -15. Suppose -4*c = -q - c + n, 0 = 2*q - 4*c - 16. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 22, 16 in decreasing order.\nAnswer: 22, 16, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2 = -5*t + 8, -4*t + 5 = -5*b. Suppose 80 = -b*n + 8*n. What is the greatest common divisor of n and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t**4 + 6*t**4 + 3*t**4 + (-6*t - 5 + 5)*(-t - t + t)*(-1 + 1 - t)*(-8*t + 8*t - 2*t).\nAnswer: 16*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.42 - -258.92. Let g = -255 + r. Sort 5\/6, g, -0.2.\nAnswer: -0.2, g, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -66, -86, -106?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 + t**3 - 15*t**2 + 23*t - 10.\nAnswer: (t - 2)*(t - 1)**2*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2132?\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*n = 38 - 124, -5*i - 2*n + 173 = 0. Let q = 0.9 + 4.1. Sort -0.5, 0.2, q, i in ascending order.\nAnswer: -0.5, 0.2, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12770516111 + 16.76.\nAnswer: 12770516127.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1624 and 101474968?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**2 + 6329*x + 10004602. Let b(r) = 11*r**2 + 18986*r + 30013795. Let f(q) = -3*b(q) + 8*i(q). Factor f(z).\nAnswer: -(z + 3163)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -796*y - 506263. Determine l(-636).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 10*l**3 + 286*l**2 + 6*l + 6. Let p(j) = 18*j**3 + 571*j**2 + 11*j + 10. Give 5*f(i) - 3*p(i).\nAnswer: -4*i**3 - 283*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*m - 3*a, 3*m + 2*m - 12 = -4*a. Let g = 2 - m. Find the second derivative of 2*o + 2*o**2 + g*o**4 - 2*o**2 wrt o.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 - 5*z - 7. Let m be v(5). Solve 2*k - 11 = r + 5*k, 4*k = 2*r - m for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 0 + sqrt(19) - (2*sqrt(228))\/sqrt(12) - (-1 + sqrt(38)\/sqrt(2) - (0 + sqrt(931) + sqrt(931) + sqrt(931))))**2.\nAnswer: 228*sqrt(19) + 6895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 15 + -10 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*x + 1985 = 3657 + 2537 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b - 22. Give d(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/4)\/(2\/((-8)\/(-1))). Let w be 8\/(-6)*(-3)\/(-2). Let t be -3*w\/u*-2. Solve -4*b - 11 = 5*a, 2*a = b + 4 + t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/8 - (62\/(-8) + -6). What is the highest common divisor of l and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-2*z - 4*z**3 + z + 2*z**3).\nAnswer: 4*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176148 = 17*m - 21*m + 4*q, -2*q = 2*m - 88074. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 6*j + 6. Let u(a) = -2*a - 1. Let w(q) = d(q) + 6*u(q). Let x(b) = -7*b + 2. What is w(x(p))?\nAnswer: 42*p - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/k**16*k**(-26)*k*k\/(k*k*k**(-2\/47)*k*k*k)*k*k*k**(-15\/7) assuming k is positive.\nAnswer: k**(-14180\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2387769*g**2. Let y(f) = 3*f**2. Calculate y(s(v)).\nAnswer: 17104322392083*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -453 + 45*b - 61*b**2 + 175 + 130*b + 278 + 63*b**2.\nAnswer: 2*b**2 + 175*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (3 + -3) - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3575 and -1.\nAnswer: 3575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -532.83 and 14992.\nAnswer: 14459.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -11*a + 10. Let h(z) = -27*z + 24. Let r(o) = 5*h(o) - 12*l(o). Let m(q) = -39*q. Determine m(r(s)).\nAnswer: 117*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((2\/(-4))\/((-3)\/(-18))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3509 is divided by 216.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*o - 13 = 0, 3*o - 3 = 2*n + n. Suppose 0 = n*c - 1 - 65. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*y + 414 = -3*y, 15 = -5*y. What is the lowest common multiple of 4 and n?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 47.37347 litres?\nAnswer: 47373.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-5 - -6) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 171*r**3\/4 + 21669*r**2\/4 - 6099*r\/4 - 381\/4 = 0.\nAnswer: -127, -1\/19, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 264\/(-110)*(-1085)\/(-186).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6531*v**2 - 890*v - 5 wrt v?\nAnswer: 13062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*c**2\/9 - 86*c\/3.\nAnswer: 2*c*(4*c - 129)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 51557 = 332*z - 335*z, 0 = -5*q - 2*z + 51563. What are the prime factors of q?\nAnswer: 5, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2732 + -2.1702. What is q rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -215, 3, 5, 0 in decreasing order.\nAnswer: 5, 4, 3, 0, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14.95 + 19.9. Let v = -0.05 - p. Let b = v + 5.00001. Round b to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - (sqrt(78) + (sqrt(78) - (sqrt(78) - sqrt(78)*1 - sqrt(78)))*3))\/sqrt(6) - (-2 + sqrt(1300) + -2))**2 + -3.\nAnswer: -128*sqrt(13) + 3341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/2067 and 44\/9?\nAnswer: 6201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -87 in -75, 14\/13, 0.07?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48605*d**2*u**3 + 4*d*u**2 + 2495*d - 2*u**3 wrt d.\nAnswer: 97210*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*w + 12308 = 7*r, 3*r + 2*w - 7384 = 0. Does 60 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v + 1. Let a be r(1). Suppose 32 = -4*t + 4*y, 0 = -t - a*y - 1 - 2. Let i be 90\/(-94) + t*(-8)\/56. Is i >= -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*g**2 + 23*g**2 - 39*g**2 + (5*g**2 - 3*g**2 + 0*g**2)*(1 + 0 + 0) + 2 - g**2 - 2 - 3*g**2 + 8*g**2 - 4*g**2.\nAnswer: -46*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -107\/16066007 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**6\/120 + w**5\/15 + w**3\/2 - 3*w**2\/2 + 11*w. Let k(s) be the first derivative of m(s). Calculate k(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 33\/8, -39, -4\/13, -0.3, -0.07?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c. Let y(i) be the second derivative of 0 + 0*i**2 - 37\/12*i**4 - 54*i + 0*i**3. Determine y(m(d)).\nAnswer: -333*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 0.5. Let c be (-9)\/(-12) + 2\/8. Sort c, 2\/9, d in descending order.\nAnswer: c, d, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 17*g - 64. Let i be l(4). Suppose -i*y = -4*h + 17 - 9, -3*y = h - 2. Solve -j = -u - 2, 0 = -3*u - 2*j + 11 - h for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dyyygyzg. What is prob of sequence yd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -i**5\/30 - i**4\/6 - i**3\/18 + i**2\/2 + 67. Factor q(x).\nAnswer: -x*(x - 1)*(x + 2)*(x + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**3\/13 - 1782*u**2\/13 - 529254*u\/13 - 52396146\/13 = 0. What is u?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.8, -8, 0.5, -1, -2?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-40))\/(-2*(-5)\/40)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8541 (base 12) in base 16?\nAnswer: 3901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, i: 1, y: 2, w: 1, a: 1, c: 1}. What is prob of picking 1 i, 1 v, and 1 c?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 4*j**4 - 257652*j**3 - 515324*j**2 + 257652*j + 515320 = 0.\nAnswer: -2, -1, 1, 64415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in twenty-six fifths of a second?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 1:27 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54243 by -12769.\nAnswer: 54243\/12769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a tonne in kilograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w**3 - 5*w**2 + 4. Let y(g) be the third derivative of -3*g**6\/40 - 11*g**5\/60 + 3*g**3\/2 + 9*g**2. Give 5*u(p) - 2*y(p).\nAnswer: -2*p**3 - 3*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3279709\/125 + -26237. Let n = -319\/317 + 565778\/39625. Let d = n - f. What is the common denominator of 49\/10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85295.\nAnswer: 5, 7, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 - 0.5. Let y = -3.1 + -0.9. Which is the nearest to u? (a) y (b) 0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -1 - 6*b**2 + 18*b**2 + 1. Let u(k) = -k**2 - 2*k + 2. Let n(c) = -6*c**2 - 11*c + 11. Let z(l) = 4*n(l) - 22*u(l). Determine z(g(s)).\nAnswer: -288*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 11*o**2 + o - 4. What is the units digit of r(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 2*p**2 + 3*p + 4. Let m be k(3). Solve 6 = -2*w + 2*b - 4, 5*b - 7 = -m*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from haafaaafffhaaffaaa. Give prob of sequence ff.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4790 - 278*k - 4790. Let h(m) = -6*m. Calculate b(h(g)).\nAnswer: 1668*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8945?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 9:43 AM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 90486157 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 6 = 5*u, u + 3 = 2*v - 1. Suppose 5*i - 12 = -5*j - 2, 0 = -2*i - 3*j + 4. Solve -i*d + d + v = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4750 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*g + 27472 = 93*g. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.6, 2, -2396 in descending order.\nAnswer: 2, -1.6, -2396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80 - (-7 - 0) - (-86 + 107).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 2*k + 10. Let q = k - 21. Suppose -q*n = 4*j - 241, 4*j - 9*j = -3*n - 281. What are the prime factors of j?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6 = -2*w, 3*x - x - 4*w + 2 = 0. Solve 6*h - h = -2*c - x, 0 = -3*h - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, i: 3, g: 1, d: 1}. What is prob of sequence xdg?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5394.87 and 0.1.\nAnswer: 539.487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(-663) - 41250\/1530.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sspx when four letters picked without replacement from {s: 7, r: 1, p: 1, a: 5, x: 5}.\nAnswer: 35\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-162680)\/20*(14 - 15)?\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7537, -7491, -7389, -7219, -6969, -6627, -6181, -5619?\n\"Answer: 2*y**3 + 16*y**2 - 16*y - 7539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -53*u**6\/60 + 11*u**5\/60 + u**3\/3 - 153*u**2. What is the third derivative of b(n) wrt n?\nAnswer: -636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82836096 is divided by 309?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -712738496 and 9.\nAnswer: -712738487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 161 and 851?\nAnswer: 5957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -265.48052 rounded to 1 dp?\nAnswer: -265.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 12:42 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4942103398?\nAnswer: 2, 6091, 405689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -87, 5, 3, 0, 4 in decreasing order.\nAnswer: 5, 4, 3, 0, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in six fifths of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54956746 divided by 30979.\nAnswer: 1774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -52 + -231?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*l**3 + 5*l**3 - 4*l**3 + 0*l**3 - 2*l**3 + l**3 + (1 + 2*l**2 - 1)*(2 - 2*l - 2) in the form a*l**2 + u*l + w*l**3 + p and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6152 is divided by 5860?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 17, a: 3}. Give prob of picking 3 a.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/80 and -7\/13507890?\nAnswer: 108063120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 - 35. Suppose s + 16 = 3*g. What is the third derivative of -11*j**4 + 10*j**2 + g*j**2 - 4*j**2 wrt j?\nAnswer: -264*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2122667934754078 + 3*l**3 - 2122667934754078.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64 - 136 + 240)*(3*x + x - 6*x).\nAnswer: -336*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(175) + sqrt(175))*-2)**2.\nAnswer: 11200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*t**2 - 193*t**2 + 149*t**2.\nAnswer: 56*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-97 + 496 + 846)*(2*a**2 + a**2 - 5*a + 7*a - 2) to m*a**2 + x*a + r and give m.\nAnswer: 3735","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l + 14 - 9 = 5*w + 5*l, l = 3*w - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1155211 (base 6) in base 14?\nAnswer: 18899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 415, 1397, 3313, 6475, 11195, 17785?\nAnswer: 26557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 387.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n - 7. Let u(v) = 2*v - 3. Suppose 0 = 10*c - 29*c + 114. Give c*j(i) - 13*u(i).\nAnswer: -2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298978 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 22*b - 37. Let t = 68 + -72. Let l be (t + 5)\/(7\/28). What is the units digit of w(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 9*n + 11. Determine o(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 7:18 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -73322*u**2 + u - 170549.\nAnswer: -146644*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 40080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/5)\/(2\/(-40)). Suppose 5*s + 6*l - 60 = l, -s + a = 3*l. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.94 + 1.8. Let w = 1.14 - 1.2. Let n = w + y. Which is the second smallest value? (a) -2\/5 (b) n (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1454535509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-6) - 1*-1. Let o be -6*(2\/(-15))\/((-28)\/(-35)). Which is smaller: o or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*p - 8 = 0, -3*g + g = -4*p. Let t = 194 - 193.9. Let h = -0.8 - -1. Which is the closest to t? (a) h (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 8*o**2 + 4*o - 4. Let w = 663 - 661. Suppose -9*q + 63 = -w*q. Calculate l(q).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 2*k = 2, 0 = 2*k + 1 + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -157623044*r**3 + 5*r**2 + 670867*r - 17.\nAnswer: -945738264*r + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 4*s - 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19475\/3075*(-9)\/15?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*r - 25 - 45, -r = 3*u - 58. Suppose -2*w - u = -6*w. Calculate the remainder when w is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1616 - 1502. Calculate the remainder when j is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -32*l + 2. Let p(s) = -2928*s + 11. What is -p(v) + 5*z(v)?\nAnswer: 2768*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 3)*(3 - 49251*i**2 - 48961*i**2 + 99135*i**2 + 3*i) to j*i**2 + v + z*i and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 221*j**2 + 213*j + 901. Determine a(222).\nAnswer: -1097","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1320\/(-160))\/((-3)\/(-4)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -40103013211?\nAnswer: -40103013221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**8\/336 + 3*u**7\/70 - 31*u**6\/120 + 17*u**5\/20 - 5*u**4\/3 + 2*u**3 - 6*u**2 + 6*u. Factor z(m).\nAnswer: -(m - 3)*(m - 2)**2*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -5*y + 422. Let x = y - 58. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12.1725745 from 2.1.\nAnswer: -10.0725745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 3 = x - 5*x, -4*x = -2*b - 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -26. Solve 3*h = -h - p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -169, -100, 193, 704, 1427, 2356, 3485, 4808?\nAnswer: 6319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(330\/(-460)))\/(2\/(-3)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6*o - 7. Let u(q) be the third derivative of q**4\/24 + 2*q**2 + 44. What is a(u(v))?\nAnswer: -6*v - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 117 divided by 1\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0.2, 985, -2\/15, 49?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1262673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w - 4. Does 12 divide q(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 5:17 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -777 + 779. Solve a*h = h - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.05 + 0.05. Let i = 2.04 + s. Suppose 37*a + 18 - 203 = 0. What is the nearest to i in 1, 4, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -25. Let d(j) = j**3 - 8*j**2 - 4*j - 6. Let k be d(8). Let p = m - k. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -5*v, -u + 7 = 4*v + 2*u for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*l + 9*l + 29. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*z + 35*z = -256 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 25. Let c be x(-4). Suppose 14*l - 7 = c*l. Which is bigger: l or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*c + 75*c - 51*c**2 - 107 - 3*c - 13*c to y + t*c**2 + u*c and give y.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5960341 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2624 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5356621877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011000101100111010101 (base 2) in base 10?\nAnswer: -2906581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1588762 - 909342. Suppose -3*c + h = 2*c. Suppose -4*y - c = 36116. What is y rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**4\/3 + 203222*w**3\/3 - 270986*w**2 - 3861398*w\/3 - 2845220\/3 = 0. What is w?\nAnswer: -101615, -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**2\/5 + 10688*z\/5 + 382176\/5 = 0 for z.\nAnswer: -5308, -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -18*y**2 + 171*y - 906. Let t(h) = 49*h**2 - 512*h + 2716. Let m(v) = 8*l(v) + 3*t(v). Factor m(f).\nAnswer: 3*(f - 50)*(f - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**9)**(-2\/23))**(-27) assuming y is positive.\nAnswer: y**(-432\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7038 - 7035. Let t be 1\/6 - 43\/(-30). Let -12\/5*x**2 + 4\/5*x**4 + t + 4\/5*x**h - 4\/5*x = 0. What is x?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/(l*l**(-6))))\/(l**2\/l))\/(((l**(-2)\/l)\/l*l)\/(l\/l**6)))\/(l**(2\/7)*((l*l*l\/l**(6\/11)*l)\/l*l*l)\/l*l*(l**(-1))**(1\/15)) assuming l is positive.\nAnswer: l**(-14638\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 2:29 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163 - 3*w**3 - 12*w - 1700*w**2 + 1700*w**2.\nAnswer: -3*w**3 - 12*w - 163","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p**2 - 5*p + 3. Let s(x) = -x**2 - x. Let f(u) = -g(u) + 3*s(u). Let b be f(2). Solve -15 = b*l - 5*r, r - 2 = -r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5*u = -340, 0*u + 324 = 5*t + u. Let d be 6\/((-125)\/t - -2). Suppose -4*v - d = -4*z - v, -16 = -4*v. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-p + 2*p + p)*(-1 + 3 - 1) + 3 - 7*p - 3 + 0*p + 2*p - 6*p)*(-4*p + 7*p + 0*p).\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - f + 7. What is the least common multiple of o(0) and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77510650*v**2 - 145676632*v wrt v.\nAnswer: -155021300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*c + 290 = 0, -4*g - 75 = 5*c + 144. Let a = g + 155. What is the remainder when a is divided by 51?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 158604 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nq when two letters picked without replacement from {y: 1, n: 5, a: 5, q: 5}.\nAnswer: 5\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millimeter in micrometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d**2 - 16*d + 22. Calculate h(3).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -25*h - 1750. Give n(-80).\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -23*n - 28*n - 21*n + 78*n + 1. Determine h(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/u**11*u**(-4\/7))\/(u**(1\/8)\/u)**(-6\/31) assuming u is positive.\nAnswer: u**(-7587\/868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2185099515?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 6 = -v - 0*k, -38 = -5*v + 2*k. Find the third derivative of 3*l**2 - l**2 - 11*l**v - 9 + 9 wrt l.\nAnswer: -1320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, -163, -79\/3?\nAnswer: -163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/130705934 or -1?\nAnswer: -7\/130705934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -16. Let q be (-33)\/(-22)*r\/(-6). Let p be (7 + -5)\/(q\/(-2)). Solve 5*a + 16 = -2*i - 5, -5*a = p*i + 17 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -115*o**2 - 7019*o - 262. What is y(-61)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3864 - 3814. Calculate the highest common divisor of 1210 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*s + 1280 = -36*s. Let y = s + -160. Is 20 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-420)\/(-168))\/(5\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2 + 8*t**2 - 16*t**2 - 6*t**2. Let u(v) be the second derivative of 2*v**3\/3 - 539*v. Calculate a(u(z)).\nAnswer: -224*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -48 in -11, -1.2, -1\/4?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 3*l**2 + 18219*l + 2317770 = 0.\nAnswer: -5943, -130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38056?\nAnswer: 2, 67, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 619483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 972.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**7\/n**0*n**4\/(n*n*n**(2\/5))*(n**5\/(n**(-5\/4)\/n))**(2\/25) assuming n is positive.\nAnswer: n**(459\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*t**2 - 31*t**2 - 30*t**2 + 74*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -2, 4, 12 in increasing order.\nAnswer: -2, -1, 0, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -16. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23606*g + 8108*g - 1428*g.\nAnswer: 30286*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qrqrqqqqqqqqqrqqu.\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 5*o + 174, 0 = -0*s + 2*s + 2*o - 60. Calculate the remainder when 95 is divided by s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 16*q**2 - 7*q - 8. Let a(v) = v**2 + v. Suppose -k = 4*o + 26, 0 = -5*o + k + 4*k - 20. Let w(h) = o*a(h) + b(h). Is w(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -2. Let h be ((-8)\/6 - -1) + 3\/9. Solve p*u + i - 8 = 0, h*i - 8 = -2*u + 2*i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21\/2 + -139\/14. Let u = 0.09328 - 0.09328. Which is the biggest value? (a) -0.3 (b) -4 (c) u (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**5 - 460*x**4 - 1790*x**3 - 2660*x**2 - 1765*x - 440.\nAnswer: -5*(x + 1)**4*(x + 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 828 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*j**3 - 141*j**3 + 11*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 45*v + 1064. What is a(-27)?\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12889*g**3*r**2 - 928*g**3*r + 3*g**2*r + 2*g*r wrt r.\nAnswer: 25778*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k - 17*k - 240 = 0. Suppose 0 = k*w - 22*w - 632. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2595 - 2551. Calculate the remainder when 241 is divided by n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*a = 5081, 5*i = 3*i - a - 2035. Find the common denominator of 90\/(-33) + (-4)\/8 and (6\/27)\/(24\/i).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - n**2 + 2*n - 10. Let y be h(0). Let i be 10\/298*(-2)\/y. Which is bigger: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4 + sqrt(171) + 0)*-1.\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85\/42 + 13\/7. Let l = -63 + -748. Let c = l + 811.4. Sort -2, c, n in descending order.\nAnswer: c, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rakl when four letters picked without replacement from {a: 3, l: 1, r: 6, c: 2, t: 2, k: 5}?\nAnswer: 5\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - f + 1. Let a(w) = w**3 + 16*w**2 + 5*w - 50. Let b(p) = -a(p) + 6*n(p). What is the tens digit of b(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2877839 is divided by 91?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 q when four letters picked without replacement from {b: 1, f: 5, q: 6, u: 2, x: 1}.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -9, -0.05, -2, -10 in ascending order.\nAnswer: -10, -9, -2, -0.2, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*z = -32 - 15 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 9:32 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -10\/243, -1\/4, -3, 12\/5, -2?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 4:39 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**3\/5 + 30976*s**2\/5 - 402982*s\/5 + 682044\/5 = 0. Calculate s.\nAnswer: -15501, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -213?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times -861164.47?\nAnswer: -34446.5788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -5*b - 4*b - 1073600. Round b to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/4876 and 13\/630.\nAnswer: 1535940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -86*b**3 - 3946*b**2 + 456*b - 108. Determine y(-46).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 4840.7 and 0.02.\nAnswer: 4840.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 357458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112075, 448471, 1009181, 1794205, 2803543?\nAnswer: 4037195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49727 is divided by 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/44 and -43\/5002.\nAnswer: 110044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254 - 250 = 4*n, 5*n = -3*m + 3 + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 6.1. Let a = 0.2 + z. Put a, 1, 2\/3 in ascending order.\nAnswer: a, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7118 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (50\/(-15) + 1978\/645)\/((-2)\/3)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -350, -1059, -2464, -4913, -8754?\nAnswer: -14335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65465 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 38*k - 77. What is x(-7)?\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 379*g + 4086. Calculate q(-9).\nAnswer: 675","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*((-2 - 2 + 7)*(3*w - w + w) + w + w - 4*w - 3*w - w + 2*w).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + k + 2052 = 2056, d - 3*k = -4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-36)*y*y\/(y**(-7)\/y))\/(y*y**11*y*y**(1\/35)*y) assuming y is positive.\nAnswer: y**(1154\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 4*r + r + 16, 3*r = g + 14. Let q be (-3 - g)\/(46320\/273844). Let x = q + -22\/579. Find the common denominator of x and 51\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 6) to base 14\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -984 divided by -1?\nAnswer: 984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 divided by -655?\nAnswer: 32\/655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**4\/4 - 4*v**3\/3 + 8*v**2. Suppose -33*g + 33 + 231 = 0. Calculate the remainder when q(-6) is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-4)*24\/(-18). Solve 0 = b + b - j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1.7 (b) -32 (c) -4 (d) -1 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0099 + 1.58.\nAnswer: 1.5701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133 and 8981.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5580000 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 38*m**3 - 6*m**2 + 3*m. Let u(q) = -38*q**3 + 7*q**2 - 4*q. Give -4*h(s) - 3*u(s).\nAnswer: -38*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1720 + -1672)\/(12\/(-15) + 2).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 4*p**2 + 9*p + 1. Suppose o = 2*o + 6. Is n(o) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 3. Let t = o + 0. Which is the nearest to t? (a) -1\/4 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 b when four letters picked without replacement from ppbbbbbbpp.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 621475777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Divide -75761 by 7.\nAnswer: -10823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((1\/1)\/(305\/(-19) + 16)).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 5*g + 45, -3*b = -7*b + 3*g + 43. Is b a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -67*a**4\/24 + a**3\/3 - 3*a**2. Is w(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 3:36 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 222 (base 4) to base 9\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 14 + 7)*(5*q - 5*q + q - 2*q + 0 + 0 + (-4 + 0 + 2)*(q + 0*q + q) - q + 0 + 0 + 2*q + 0 - 1 + 0*q) to the form v + z*q and give z.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.839 - -0.161. Let o be (18\/(-105))\/((-21)\/70). Which is the third biggest value? (a) j (b) o (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 + -45. Let w = -1.7 - f. What is the third biggest value in w, 1\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -1. Let r(j) = 36*j - 5. Let k(m) = -3*q(m) + r(m). Suppose -2*a - 10 = 4*x, 0*a + 3*x = -5*a + 10. Is k(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(2\/49)*c)\/c**(-23))**10)**11 assuming c is positive.\nAnswer: c**(129580\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 3187.\nAnswer: 1\/3187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-325)\/135)\/((-19799)\/22845).\nAnswer: 25\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1737666558.\nAnswer: 2, 3, 96537031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 6*q + 6*q**2 + 5 - q**2 - 4*q**2. Let f be n(-6). Suppose -f*m + w + 96 + 31 = 0, -3*m + 65 = 5*w. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -21, -2 in decreasing order.\nAnswer: 0, -2, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (308\/16 - -1)\/(2128\/(-64) + 34)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-68)\/(-20) - 4\/10 - -1169?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 0*n + 0 + 0*n**5 + 0*n**4 + 1\/35*n**7 - 6*n**2 + 0*n**6 + 4\/3*n**3. What is the derivative of j(q) wrt q?\nAnswer: 24*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -80236.\nAnswer: -80234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = s - 262, -58*b + 1953 = 7*s - 61*b. What is the greatest common divisor of 782 and s?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18792 or 18770?\nAnswer: 18770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-45))\/(11\/11)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16.21 + 0.04.\nAnswer: 16.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.283 - 0.828. What is u rounded to two dps?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1810548.225 to the nearest one hundred.\nAnswer: -1810500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5598 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451653.\nAnswer: 3, 150551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ovov when four letters picked without replacement from {a: 4, o: 2, v: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.548272kg to grams.\nAnswer: 9548.272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -68463.7 + 68395.30135. Let c = i + 68.4. Round c to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 + g - 1. Let y be n(0). Is (-3 - (-17 - y))*23 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*q**2 - 24*q - 49*q**2 + 187*q**2 - 49*q**2 - 48*q**2 + 2 as o*q**2 + g*q + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**6\/2 - 14*m**5\/5 + 23*m**4\/4 - 16*m**3\/3 + 2*m**2 - 32. Factor z(v).\nAnswer: v*(v - 2)*(v - 1)**2*(3*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6173 and -1\/35757 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-21))\/((-6)\/(-14)). Let o = -205 + 204. Which is the second biggest value? (a) -0.05 (b) o (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47555 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 less than -29670?\nAnswer: -29658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -937*z - 1. Let x = -7 - -6. Let n be p(x). Suppose -b + 275 + n = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*r**5 - 533*r**3*v + 7*r*v - 52*r - v wrt r?\nAnswer: 60*r**3 - 3198*r*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 3348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*p**4 - 1532*p**2 + 111445*p.\nAnswer: 60*p**2 - 3064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*r + 1089 = 361 for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1870.206 to the nearest integer.\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-7) - (-1728)\/3729096*-294.\nAnswer: 1\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 4, -1.9, -27\/5, 18\/7?\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/3)\/(-2))\/(34\/102)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 24*j**3 - 17*j**2 + 3*j. Let o = -23 - -22. Let l(s) = s**3 + s**2 + s. Let f(x) = o*w(x) + 3*l(x). What is the third derivative of f(z) wrt z?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -226 in -2, -1\/4, 0.3, -2\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2804 and 133190.\nAnswer: 266380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 2*a. Let t be o(-4). Let m be (-39)\/(-52) - (-26)\/t. Let d = -3 - -8. Which is smaller: d or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2349, -18504, -62353, -147744, -288525?\nAnswer: -498544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*q. Suppose -68 = -q*l + 4*l. Let w = -3 - l. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/255 and -11\/18026545?\nAnswer: 54079635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 137\/(-2) + -1 + (-1)\/(-2). Is -71 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 3. Determine w(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/27 and 109\/216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 44190100 to the nearest one hundred thousand.\nAnswer: 44200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 33 = 2*p - 533, -o - 3*p = -125. Let j = o + -48. Let z = 109 - j. What is the highest common divisor of z and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277299829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 128115342?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 79? (a) -7 (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hiusuiiuiu. Give prob of sequence hi.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*t - 2879 = -3330 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**2 + 5759604*k - 5759607 = 0. Calculate k.\nAnswer: -1919869, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 13*l**2 + 15*l + 14. Let t be z(-1). Does 14 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15.73 from -1472932.\nAnswer: -1472916.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9544b6 (base 12) to base 15.\nAnswer: 3167e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (14 + 14 + -15).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t. Let k(l) = l**3 - 5*l**2 - 5*l - 2. Let d be k(6). Let w(f) = f - 2. Let i be w(d). Let h(z) = -2*z**i + 2 - 6 + 4. Give a(h(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 d, and 1 w when three letters picked without replacement from {d: 2, e: 5, m: 6, w: 2, h: 1, o: 1}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 160bb + 2?\nAnswer: 160c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32157123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1715*q + 494. What are the prime factors of z(-13)?\nAnswer: 13, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/((d*d**(-1\/4)\/d)\/d)*d**1 assuming d is positive.\nAnswer: d**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 6 + 1 + -8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 7\/12*b**5 + 1\/24*b**4 - 3 + 47\/6*b**3 + b**2 + 0*b. Differentiate t(a) with respect to a.\nAnswer: 70*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28121 - 28068.806. Round d to 1 dp.\nAnswer: 52.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.64246 or 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11642622 times 14?\nAnswer: 162996708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.097634 to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 11*w**2 - 10*w + 26. Let k be f(-12). Suppose 5*c + k*c + 140 = 0. Is c greater than -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of x**5\/30 + 5*x**4\/24 + x**3\/2 - x**2 + 4*x. Let o(w) be the first derivative of y(w). List the prime factors of o(-7).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*v + 256 + 5 = 0, -5*u - 678 = v. Let r = u + 216. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 180090 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/2 - 8 - (-21 - -47363). Round c to the nearest one thousand.\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.88 - -1.98. Which is the biggest value? (a) -0.08 (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -128*q + 902. Let m be k(7). Let v(h) be the first derivative of 1\/2*h**2 - m + 9*h. Determine v(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 555 - 34305?\nAnswer: -33310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iiifffifiififfififf.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 294 and 17311259.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a + 15. Let o be q(10). Suppose 5*w = -4*r + o, 5*w = 4*r - 0*r + 75. Let b be (w\/(-33))\/(2\/(-18)). Solve b*i = 5*z - i, 0 = 2*z - 2*i for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1679 = 4*c - 3*t, 18*c - 13*c - 2095 = 5*t. What is the highest common divisor of 7807 and c?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 3, s: 2, b: 4, c: 6}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)*m*m**(-2\/3)*m*m**(-2\/3)\/m**6)\/(m**5*m*m*m**0)**(-1\/55) assuming m is positive.\nAnswer: m**(-1684\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -14*n - 427. Calculate f(-30).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -14. Suppose -m + 3 = 3*m - 5*f, -5*f - 5 = -z*m. Suppose -75473 = m*d + 68527. What is d rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -667 divided by -23\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 3 = -2, -l - 4*m - 16 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17083508?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -28 (b) -3 (c) -48 (d) -9 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 1469*z**2. Let r(k) = 1512*k**2. What is r(q(c))?\nAnswer: 3262837032*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 0 - 16. Suppose 2*d - 4*n - 18 = -d, n - 24 = -u*d. Solve 3*m - d*m - 5*v + 14 = 0, 4*m + 4*v - 8 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 100977.\nAnswer: -5\/100977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -145359 divided by 48453\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1310?\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -91 - -125. Let j = c + 1. Round j to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/o**(1\/40))\/o**(-7))**(-27))**(-4\/3))**(-5) assuming o is positive.\nAnswer: o**(-2871\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2010)\/(-1340)*2124\/(-27).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1266427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -341, 3\/4 in descending order.\nAnswer: 3\/4, -1, -341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 18 = -1230*v + 1227*v, 0 = 4*p + 2*v - 22. Let h be ((-2)\/(-3))\/(12\/126). Let i(b) = -8*b + 1. Let l(m) = 12*m - 1. What is h*i(a) + p*l(a)?\nAnswer: 4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/252 and 83\/84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 4*t)*(8 - 7 + 0)*(-3 + 3 + t) + 14*t**2 - 16*t**2 + 41*t**2 - t**2 + 2*t - 2*t - 5 + 5 + 2*t**2 as y + j*t**2 + i*t and give j.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-11))**(-1)\/(c\/(c*c**(-2\/9))*c*c*c*c*c**23) assuming c is positive.\nAnswer: c**(-146\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 19 = -2*t, 45 = -5*t + 5*y - 3*y. Let w(h) be the first derivative of -h**2 + 4*h - 5. What is w(t)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 481.9826 millennia?\nAnswer: 48198.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 4\/7 (c) 7\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 a, and 2 p when four letters picked without replacement from aaaapapfppapapaaa?\nAnswer: 15\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaal when four letters picked without replacement from alaaallaaaaaalaaalaa.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p. Suppose -t + 0*t + 3*k + 12 = 0, -3*k = 3*t - 12. Let f(a) = 13 - t - 7 + 5*a**2. Determine f(w(z)).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**3 + 3*g**2 - 326*g + 32. Give r(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.791916l in millilitres?\nAnswer: 9791.916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -265*x**3 - 24 - 9*x**2 + 15*x + 264*x**3 + 60 + 7 + 0*x. Calculate p(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1404752362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -17 - (2 - ((6 - 4) + 1))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**3 + 10*z**2 + 2*z - 96. Determine u(0).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*l**4 + 146*l + 138975 with respect to l.\nAnswer: 104*l**3 + 146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, y: 1, e: 1}. What is prob of sequence ke?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 312054004 to the nearest integer?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 1. Sort b, 0, 15 in descending order.\nAnswer: 15, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33615.66 - -33594.660022. Let g = k + 21. What is g rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of 0*n**3 - 26*n - 1\/12*n**4 + 3\/2*n**2 + 0 + 6\/5*n**5. Find the third derivative of q(j) wrt j.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135, -144, -159, -180, -207, -240, -279?\nAnswer: -324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.12 + 1.12. Suppose 3*q - 8 = 3*v + 22, -3 = 3*q. Which is the third smallest value? (a) 3 (b) v (c) f (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24676733 < -24676729?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31829351, 63658701, 95488051, 127317401, 159146751?\nAnswer: 190976101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9274 and 55644.\nAnswer: 55644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 231 - 133. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 47930816 and 0.047?\nAnswer: 47930815.953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9162 - 9157. Solve 0 = -2*l, 4*m = k*l - 7 - 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16783 - -17980. Calculate the greatest common divisor of 171 and w.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/429, 19, 1, 2\/53?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 402102 and 2442?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 5 (c) 17 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + y + d + 2, 0 = -2*y - 3*d - 6. Suppose y = -h - 2*c, -h + 0*h + 3 = -c. Solve 25 = -0*n + 5*n, v + 13 = h*n for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -4, -2 in descending order.\nAnswer: -2, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -93 and 90362.\nAnswer: -8403666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 296*r + 2172. Let n be g(-7). Calculate the highest common divisor of 52 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from {q: 1, l: 2, p: 1, k: 1, r: 1, i: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25580243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v - 1. Let j(r) = -r**3 + 2*r**2 + 2*r. Let o be j(-1). Determine m(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 26 + 9 = -5*u + 18*u, 80*u - 7 = -2*z + 77*u for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**5*m**3*(m**0\/m)**27 assuming m is positive.\nAnswer: m**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**4\/8 + 599*v**3\/8 + 25697*v**2\/2 + 1663207*v\/2 + 17042298 = 0. What is v?\nAnswer: -364, -98, -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**4\/12 - a. Let h(d) = -d + 1. Let w(r) = -3*r + 2. Let o(m) = 2*h(m) - w(m). Determine o(b(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n - 8. Let v(s) = 2*s - 17. Let c = -503 - -496. Give c*l(a) + 3*v(a).\nAnswer: -a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 4) + -3 + 5 - 7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 6, 17, 32?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 8:56 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2805)\/(-119) + 2 + -26. Which is the closest to 1\/4? (a) 0.7 (b) y (c) 0.04 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 5. Let a be g - -3*(-5)\/9. Let w = 0.2 + -0.7. Sort a, -0.1, w.\nAnswer: a, w, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -6*j + 3*j. Let r be 5*-1*99\/(-55). Suppose -5*d = -4*d - 5*z - 23, 2*d + z + r = 0. Which is the closest to j? (a) 1\/5 (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 3126430?\nAnswer: -312642a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-90)\/(-12))\/(65\/26). Find w, given that 0 + 6*w - 30*w**2 + 75\/2*w**g = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -d**4\/2 + 10*d**3 + 29*d**2\/2 + d + 110. What is the second derivative of w(k) wrt k?\nAnswer: -12*k + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 535497?\nAnswer: 3, 103, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b6b - -639?\nAnswer: 15a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 1. Suppose -i*l = -4*l - 2*z + 2, 0 = 3*l + 2*z - 2. Solve l = -k + 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -327496 divided by -188\nAnswer: 1742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-162)\/(-105) + 1 + 3. Let h = o + -36\/7. Which is the nearest to 0.1? (a) 5 (b) -0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-20)\/(-3))\/(3\/9).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 8\/2)*0. Suppose -5*t = -4*i + 28, 4*i + 0*t + 2*t = b. Solve h - 5 + i = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 5:15 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -o + 5*k, 4*o + 4*k = o + 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 e when three letters picked without replacement from mfmfffmee.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d + 4 - 4 - 3*d + 5*d - 4*d + 3 - 3 - d + (1 + 1 + 0)*(0*d - 3*d + d) - 2*d + 2*d - d + (-2*d - d + d)*(4 - 4 + 1).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 34*b + 639 + 577 - b**3 + 865 - 41*b. Is j(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -850, -1007, -1454, -2335, -3794, -5975, -9022, -13079?\n\"Answer: -24*v**3 - v**2 + 14*v - 839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -100101010 (base 2) in base 4?\nAnswer: -10222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -220200 (base 3) to base 7\nAnswer: -1641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppp. What is prob of picking 4 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 - 15*w + 9. Let v = 10 + -3. Let a be t(v). Is a < -0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + 18 - (1 - -1 - (-22 + 22))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6066*a**2 - 4920*a.\nAnswer: -12132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**10)\/r**(-21)*((r\/(r*r**36))\/r)\/(r*r**(-17\/4)) assuming r is positive.\nAnswer: r**(-87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 2*g**2 + g. Let j be a(2). Suppose -t = j*r - 14, -4*t + 3*r - r + 86 = 0. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 361*k + 123043. Calculate z(-214).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -30*f + 1. Suppose 0 = 5*l + p + 5 + 2, -4*l = 5*p + 14. Calculate the remainder when v(-5) is divided by -3 + l + -2 + 32.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -88 + 127. Let o = 36 - m. Which is smaller: o or -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2252 or -1\/2820?\nAnswer: 2252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -222 + 227. Does 2 divide q*430\/50 - 10\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3529201, -7058407, -10587613, -14116819?\nAnswer: -17646025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b - 1235d31?\nAnswer: -1235d25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-15) - (-22)\/(-80). Let h = 827 + -800. What is the smallest value in -0.2, k, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(121)*4 - sqrt(121))\/(sqrt(1331)*-2))**2.\nAnswer: 441\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 3. Let g(a) be the first derivative of a**3\/3 + a**2\/2 - 2. Determine g(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-6*g + 0*g + 4*g)*(-g + 3 - 3) - 7556*g**2 - 9992*g**2 + 5970*g**2)*(g + 2*g - g) to h + u*g**3 + v*g + q*g**2 and give u.\nAnswer: -23152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -5*c**2\/2 + 5*c + 127. Let w(l) = 1. Calculate f(v) - 6*w(v).\nAnswer: -5*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -2\/119 (c) -0.8 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8.1 smaller than 45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxx when three letters picked without replacement from {s: 1, x: 2, w: 7}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 140, 3, -3\/7, 0.5, 1, -0.54?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26132669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j - 6. Let i(a) = -a - 5. Let u(t) = 6*i(t) - 5*k(t). Let w(x) = -x**2 - 8*x - 4. Let f be w(-3). Let d(o) = f*o - 11*o - o**2. What is d(u(n))?\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1434310521 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(2*-5))\/(82\/205). Which is the closest to p? (a) -0.3 (b) 2\/11 (c) -28 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -587.5497485823 and -1.3?\nAnswer: 586.2497485823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003447091599 to six dps.\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 27577464 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6366 (base 9) to base 16.\nAnswer: -1245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(847) - sqrt(847)) + sqrt(847) + sqrt(7) + sqrt(42)\/(sqrt(6) + sqrt(24)\/sqrt(4)) + (sqrt(56)\/sqrt(4))\/sqrt(2) + -5)**2.\nAnswer: -245*sqrt(7) + 16907\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 161 + 176 + 165 + 24*i - 514 as k*i + j and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = -24545 - 60005. List the prime factors of s.\nAnswer: 5, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - (-3 + -15 + 1). Suppose -4*k + 9*k + d = 0. Let a be (-6)\/4*k\/14. What is the nearest to 0 in 3, a, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 540 and 43496?\nAnswer: 5871960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.88 rounded to 0 dps?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 170901193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2340593*l**2 + 110*l + 71173.\nAnswer: -4681186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1313992466.\nAnswer: 2, 1217, 539849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 270108 + -146608. What is u rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-187)\/(-22)*(-2 + 4 - 0). Let c(j) = j + 5. Let y be c(0). Solve 0*k + y*k - a = -3*p, 5*k = -5*p + 15 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.3 - -9.7. Let d = u - 4.400401. Round d to five decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -2. Suppose -4*u - 5*v - 22 = 0, -u + 9*v = r*v - 7. Let x = -0.66 + 0.16. What is the second smallest value in x, u, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (1 - 2)) + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 3:27 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2425417 is divided by 2252?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(18\/(-4))\/((-4)\/(-8)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 181220 by 2210.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -95.05, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 at least as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 + 36*v + 13. Let j be q(-19). Let c = -54 + j. Let x(y) = -y**3 - 4*y**2 - 4*y + 1. What is x(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14284928*d - 4982028 wrt d.\nAnswer: -14284928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -810689 and 42.\nAnswer: -810647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 200094 + -125323. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 14*j**2 + 26*j + 1. Let w be 128\/12 + 1 + 3\/9. What is the remainder when 54 is divided by h(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - u = -3*m + 8, 0 = 3*m - 5*u - 6. Suppose m*w - z + 6*z = 54, -20 = -5*z. Calculate the remainder when 64 is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 301035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 630359219527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-1\/8)*f*f)\/f)\/f**(-2))\/(f*f**(9\/8))**(-1\/10) assuming f is positive.\nAnswer: f**(247\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.9 in 0.7, 1\/8, 4\/3, 4, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 2 + 10 = 0. Solve -15\/7*j**r - 24\/7*j + 12\/7 = 0 for j.\nAnswer: -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.743349nm?\nAnswer: 0.0000000743349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 3 + (9 - 11) + (-8 - (43 - 8))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 5\/84*z**7 + 1\/5*z**6 + 0*z**2 - 1\/3*z**3 - 12*z + 1 - 1\/2*z**4 - 1\/40*z**5. Solve j(b) = 0.\nAnswer: -2, -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 156?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 5*r - 5. Let g be y(-5). Let l be (10\/(-4))\/g + -1. Sort 1, -2\/5, l in ascending order.\nAnswer: l, -2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 23*z - 71. What is w(-19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.8731 + -0.1269. What is the smallest value in p, 2\/19, 136?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/12474 and -191\/817740?\nAnswer: 7359660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -16\/5 + 2*d**5 - 46\/5*d**4 - 4*d + 2*d**3 + 62\/5*d**2 = 0.\nAnswer: -1, -2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1083 is divided by 219?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -29*r**2 - 45*r + 873. Let w be l(15). What is w rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 783 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.36 + -10.6. Let r = 91.76 - y. Let g = 89 - r. Which is the closest to 2\/7? (a) -23 (b) g (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*(1\/2*114\/(-15) - -4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**3\/5 + 265121*o**2\/5 - 3585210*o - 6004808\/5 = 0.\nAnswer: -1\/3, 68, 88306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -40806.5 and -1?\nAnswer: 40805.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 61.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010 + 101001011101001?\nAnswer: 101001100011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37*i + 64*i + 131*i)*(-i - 3*i + 2*i) - i + i + 3*i**2 as w*i + h + k*i**2 and give k.\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2963521?\nAnswer: 11, 41, 6571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -80105 (base 10) in base 4?\nAnswer: -103203221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 2. Let q be (-3)\/((3\/(-4))\/1). Let b be u(q). Let f be b + (-82)\/26 + 1. Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1828770*r + 114842828?\nAnswer: 1828770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmb when three letters picked without replacement from {j: 1, b: 9, m: 2, u: 6}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 2 + 2)*(4 - 3 - 3) + 18*x + 0*x + 21*x + (-1 + 3 - 4)*(4*x + x - 8*x).\nAnswer: 49*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/4)\/(4\/(-8)). Suppose b*q - 99 = 136. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/5 - 62606*p\/5 - 62608\/5.\nAnswer: 2*(p - 31304)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - a + 3 = 6, 4*d - 5*a = -7. Suppose -2*q = d*q - 316. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.9 + 14.1. Let m = i + 12. Let k = -30.0000104 + m. Round k to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 291 divide 49769519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -831*s - 78181 + 347551 = -562461. Calculate the remainder when s is divided by 316.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a century in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*u**4 - 6*u**4 - 8*u**5 - u wrt u.\nAnswer: -160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -781084*f**2 - 124. Let o(r) = r. Determine h(o(i)).\nAnswer: -781084*i**2 - 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 260\/287 + -150412\/173635. Calculate the common denominator of r and 139\/1540.\nAnswer: 16940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 258, 514, 770, 1026, 1282, 1538?\n\"Answer: 256*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 4*c - 2. Let m(n) = -n**2 + n + 1. Let o(x) = -l(x) - 2*m(x). Let b be o(2). Let z(j) = -2*j + 19. Let d be z(8). Solve -d*k + k = -b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*j - 59*j = 105. Suppose 17*d + j*d = 288. What is the least common multiple of 216 and d?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 130?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 + 6*k + 12. Calculate the remainder when f(-10) is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62302?\nAnswer: 2, 31151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -l - 1, -4*l - 1 = -3*x - 7. Suppose 3*b - 9 = l*d - 0, -b = 2*d + 9. Let j = -271.7 - -272. What is the third smallest value in 4\/3, j, b?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3370 + 3332 - 596*p - 6704 in the form u + g*p and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 17*n - 7. Let r(g) = 21*g - 7. Let h(f) = -3*r(f) + 4*t(f). Let w(j) = 1. Let i(p) = 9*p - 16. Let a(q) = i(q) + 3*w(q). Give -6*a(k) + 11*h(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxttxxx. Give prob of sequence xx.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i - 14*i - 4 + 3*i - 3*i.\nAnswer: -14*i - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clkd when four letters picked without replacement from kcddddlddlld?\nAnswer: 7\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 29014566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8463\/1744 - 18\/109. Calculate the common denominator of 6\/28 - (-5 - (1 - 8)) and s.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 52 - 160 = -3*k, 3*l + 292 = 4*k. Suppose k = 6*n - 38. Suppose 21*i = 16*i + 660. Calculate the remainder when i is divided by n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 428*p - 211*p - 221*p - 9 + 5*p**2. Let r(t) = -11*t**2 + 9*t + 19. What is 13*q(y) + 6*r(y)?\nAnswer: -y**2 + 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -8) + 3\/(-3). Suppose -x*m = -m + 5. Let a be 4\/(-8) + 56 + (-109926)\/1984. Which is smaller: a or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-2)*(-140)\/(-350).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from szkqzskzzzszzqzqzdq. What is prob of picking 1 q, 1 d, and 1 s?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of 3*k**4\/8 + 23*k**3\/3 + k**2 - 20*k. Calculate the remainder when i(-4) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-32 + -28 - (-1 - 33))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, f: 1, p: 9, h: 1, g: 2}. What is prob of sequence fh?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(216))\/(-1*sqrt(288)))**2 + (sqrt(12) - (3 + sqrt(60)\/sqrt(5)))*2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5b05 + -b2?\nAnswer: 5a13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 j when two letters picked without replacement from {j: 1, s: 2, r: 1, a: 3}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/49 and -137\/1974.\nAnswer: 13818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 3*m - 4, -3937*m + 3932*m + 27*d + 125 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, z: 2, r: 1, w: 1}. What is prob of picking 2 c and 2 z?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 531948 is divided by 511?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 d when two letters picked without replacement from {d: 3, c: 1, t: 5, o: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 12, 2, -55 in descending order.\nAnswer: 12, 2, 0, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qggqqqqqggnn?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 146363280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-18 + 22 + -7 + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3*(27\/4)\/9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((24\/(-18))\/((-2)\/(-12)))\/(56\/(-140))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 5*m + m)*(-20*m + 28*m - 4 - 12*m).\nAnswer: 4*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*i - 42*i. Let l(d) be the third derivative of -d**3 + 1\/8*d**4 + 1\/20*d**5 + i + 0*d - 5*d**2. Factor l(g).\nAnswer: 3*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*a = d + 38, 3*d - 52 = 2*a. What is the highest common divisor of d and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 4*a - 27 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(6*(-2 + sqrt(1300)) + sqrt(1300)))**2 + ((sqrt(1300) - (3 + sqrt(1300)*-1)**2) + sqrt(1300) - -3*sqrt(1300)*1))*-2.\nAnswer: -3189582 + 83780*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 51 = -5*p + 2*q, 4*q - 12 = 0. Let v = p - -31. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 9 + (-19 - -11) + -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 50*u + 140 = 572 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1378980569?\nAnswer: 1378980569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 0*l + 8*l. Which is the third biggest value? (a) -5 (b) 5 (c) 23 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 13374912?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10 + -5 + -3 + (0 - 2). Suppose -7*d + 49 - 14 = t. Let x(i) = i + 10. Let q be x(0). Solve q = -d*o - 2*g, g = -g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 559351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 10*b. Let s(g) = 84*g. What is c(s(j))?\nAnswer: 840*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 214*a. Let b(p) = -22*p**2 + 2*p + 13. Give b(c(d)).\nAnswer: -1007512*d**2 + 428*d + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00056776 rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*z - 154 = r, -38*r + 3*z = -35*r + 30 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t + 1 - 1)*(-9*t + 21*t**2 - 15*t**3 - 53*t**2 + 9*t).\nAnswer: 90*t**4 + 192*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 0. Let f be (2\/z)\/(1\/4). Let o be 3 - (0 - f) - -1. Solve 4 + o = -5*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 118103 (b) 1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4137848293?\nAnswer: 4137848293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l - 4*l - 3*l - l - 6 - 6*l**2. Let k(d) = 7*d**2 + 8*d + 7. Let n(c) = 5*k(c) + 6*p(c). Factor n(u).\nAnswer: -(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = f - 3, 4*k = -4*f + 32. Let j(r) = -r**2 + 11*r - 13. Let u be j(9). Sort k, -1, u in ascending order.\nAnswer: -1, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - v = 91, v + 52 = -3*t + 3*v. Let s = -21 - t. Let x = 8 - s. Calculate the remainder when 43 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**6\/60 - 11*m**5\/40 + 3*m**4\/8 + 11*m**3\/12 - 5*m**2\/2 - 14*m - 217. Factor z(r).\nAnswer: (r - 10)*(r - 1)**2*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 300 and 3450?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94 = 22*s + 192 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 281 = -301, 3*w - 2*s - 22 + 99 = -0*s for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 0 + 0*j**7 + 0*j + 0*j**6 + 0*j**5 + 11\/168*j**8 + 0*j**3 + 5\/12*j**4 + 24*j**2. Find the second derivative of q(y) wrt y.\nAnswer: 440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 357\/12240*-20*(-45)\/(-14).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6223 is divided by 3040?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 720.1115 + -720. What is p rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*c**2*z**2 - 5*c*z**2 - 4*c*z - 2*c - 10805*z**2 wrt c.\nAnswer: -22*c*z**2 - 5*z**2 - 4*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 3:08 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -16\/9. Put -49, 2, i in descending order.\nAnswer: 2, i, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15539 is divided by 1938?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1293 a factor of 583143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 404 - 404 - 16*o. Let p(n) = -6*n**2. What is v(p(q))?\nAnswer: 96*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*t - 574 = -5*r, -2*t + 6 = 0. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1752087*q**2*x - 9251*q**2 + 2*q + 14*x - 462 wrt x?\nAnswer: 1752087*q**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**3 - 2*k**3 - 2*k**3 - 2 + 8*k**2 + (3126 + 111*k - 3126)*(k - k + 2*k**2).\nAnswer: 220*k**3 + 8*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24.471 - -24.6. Let r = 0.029 - i. Let l = 0.049 + 0.751. What is the closest to -1 in -0.3, r, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z*z\/z**19))**(-45) assuming z is positive.\nAnswer: z**(-855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**2. Let f(g) = -9150*g**2 - 10*g - 47. Determine f(r(c)).\nAnswer: -36600*c**4 + 20*c**2 - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/45)\/(2\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4488 and 136862.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 4*l - 171, 5*z + 1759*l - 1758*l = 251. What is the remainder when 5092 is divided by z?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + m - 9588 = -9583, 5*d + 3*m = 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -97*o**2 - 24*o - 4 + 2 + 4 + 26*o + 130*o**2 in the form s + d*o + y*o**2 and give y.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2025*1627.\nAnswer: 3294675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 3.3.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2, 2.4, -1\/2, -0.89 in descending order.\nAnswer: 2.4, 2, -0.4, -1\/2, -0.89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 23*r - 121. What is q(15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqzzzzqzzzzszzzzz. Give prob of sequence zz.\nAnswer: 91\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 87 - 23 = 0. What is the remainder when w is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2 + 2)*(2*y - 2 + 2) + 0 + 0 - y)*(-2*y + 3 - 3)*(-3*y + 3*y - 5*y**2).\nAnswer: 50*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 43?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 72, 177, 282, 387, 492?\n\"Answer: 105*z - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -272*x**2 - 180*x**2 - 557 + 560 + 71*x**2 as k*x + q + l*x**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = a + f + 23, a + 11 = -5*f. Let p = a + 56. Solve p = 4*b + b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47)\/2*2713\/5426?\nAnswer: -47\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccccccciciic. What is prob of picking 3 c?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -2201220210?\nAnswer: -2201220122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 10:42 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and 7251026436583.\nAnswer: 7251026436583.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 798564203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 22*b**2 + 7*b - 99. Let x be k(22). What is the third smallest value in x, 2, -0.4, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -695, -1186, -1279, -776, 521, 2810, 6289, 11156?\nAnswer: 17609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -26\/3612139?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 9:03 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3774733269.\nAnswer: 3, 1258244423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + (-15)\/(-2) - 3)*-18. Let b = c - -36. Suppose b*w - 12*w = -408. What is the highest common factor of w and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1106853*c**2 + 5534271*c - 30 = 0. What is c?\nAnswer: 2\/368951, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -17\/14, 112275?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(12)*3))\/(-2*sqrt(2)*-3*5).\nAnswer: sqrt(11)\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35697211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p - 1. Suppose -4*t + 2 = -5*l + 1, t + 3*l - 13 = 0. Let h(r) = 4 - 4 + 0 - 3*r - 1. Determine t*s(u) - 5*h(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 32\/(-18) + (-4)\/18. Let r be ((-6)\/8)\/(f\/160). Calculate the greatest common factor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2. Let r(n) = -4*n**2 + 5*n - 3. Let t(a) = 3*h(a) + r(a). Let l be t(3). What is the common denominator of -16\/9 and ((-36)\/32)\/(l\/(-52))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1206 + -1180. Solve -x*h + 13*h = -39 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (92*n - 14*n - 4*n)*(2 - 3 + 2 + (-4 + 3 + 2)*(-3 - 2 + 3) - 1 + 4 - 1 + 3 + 0 + 1) to the form r + q*n and give q.\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1004759, -1004762, -1004767, -1004774, -1004783, -1004794?\n\"Answer: -m**2 - 1004758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 24a6a + 6b20?\nAnswer: 2b98a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - 3. Let d be (-16)\/(-12) - (-12)\/q. Suppose d = x - 4*x + 42. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18345?\nAnswer: 3, 5, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-6))\/(-1 - 0). Let f be 2 - 0 - 497\/m. Suppose f - 129 = 5*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-j + 0*j + 3*j)*(-3 + 3 - 5) - j - 2*j + j - 3*j + 0*j + 2*j + 2 - 1 + 1 + j)*(j**3 + 4*j**4 - j**3).\nAnswer: -48*j**5 + 8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1))**14*s**2*s**(-3) assuming s is positive.\nAnswer: s**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-9.2.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46367, -46302, -46195, -46046?\nAnswer: -45855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 divided by -19.\nAnswer: -69\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 0.592.\nAnswer: -3.408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + -2)\/(2 + -3). Let i be (2 - 10\/4)\/(2\/(-24)). Suppose i*q - d = 61. Does 5 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ki when two letters picked without replacement from ikpogeoe.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 431600?\nAnswer: -3\/431600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j + 3. Let p(z) = -z**2 + 9*z + 3. Let o be p(9). Suppose 0*v - o*v + 6 = 0. Let s be q(v). Solve -4*c - 2*l = -20, -l + s + 16 = 5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*-1.2128\nAnswer: -0.024256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368101?\nAnswer: 17, 59, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 33 = -2*q. Suppose -2*h + q + 45 = 0. What is the highest common divisor of 13 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38918*n**3*t**2*u + n**3*u*v**3 - 3*n**2*t**2*u*v + 51*n**2*t*u*v - 17*n**2*t*v**3 - 5*n*t*v**2 - t**2*u*v**3 wrt n.\nAnswer: -233508*t**2*u + 6*u*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03348471 to 5 decimal places.\nAnswer: -0.03348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 253927553 and 1609?\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35006 - -35010. Let l = 11 + -5. Sort l, c, 3 in increasing order.\nAnswer: 3, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13730 and -635.\nAnswer: -8718550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 114503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/3 (b) -0.1 (c) -0.19 (d) 0.3 (e) -14\/13 (f) 0.549\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 78290 divided by -15658\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3499.085ug in milligrams?\nAnswer: 3.499085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -7577078498.\nAnswer: -7577078498.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 460 and 157060?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 48. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -6. Let k = l + 7. Which is smaller: 0.3 or k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 4.1 (c) 2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*(x*x**(2\/5)\/x)\/x))\/(x\/(x*x**(3\/5))*x)*x**(-19)\/x**(-4\/9))**(-17) assuming x is positive.\nAnswer: x**(14042\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*d + 148. Let z be d\/(-44) + 4\/(-22). Suppose -3*w - 3 = -0. Put z, w, 2\/9 in descending order.\nAnswer: z, 2\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -7 + (3 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 117497\/4375 + 1429\/625. Determine q, given that y*q**2 - 2\/7*q**3 - 5202\/7*q + 0 = 0.\nAnswer: 0, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1761551742 to the nearest integer?\nAnswer: 41971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 + 5507211927?\nAnswer: 5507212384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*j**4 + 26*j**2 - 49 - 12*j**2 - 4*j**2 - 74 wrt j?\nAnswer: 16*j**3 + 20*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-13)\/3 + (-14)\/21. Is h equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/117806 and 71\/4334.\nAnswer: 1295866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1*-2*1\/(-11)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34*v**2 - 2*v**3 + 36*v**2 - 154 - 303 - 12*v**3 wrt v.\nAnswer: -42*v**2 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -800 + 772 + (-1 - -24).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -46, -66, -86, -106, -126?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*m**2 - 26*m**2 - 22*m**2 - 9*m**2.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93060.\nAnswer: 2, 3, 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 447384530 - -5?\nAnswer: 447384535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1001000110010 (base 2) to base 7\nAnswer: 16403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 1:05 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -2, -5 in descending order.\nAnswer: 4, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 11*d**2 - 10*d + 12. Is 8 a factor of y(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a**2 - 5*a - 2. Let r be m(-9). Let z = 218 + r. What is the remainder when 21 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(525)\/sqrt(3)).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - f + 30. Let t(j) = -j**3 - 7*j**2 - 8*j - 7. What are the prime factors of t(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**3 - 2*r**3 + r**3 + (-6*r**2 + 2*r**2 + 2*r**2)*(-2*r + 3*r + r) + (-r**3 - 1 + 1)*(-1 - 5 + 4) - 6*r**3 + 3*r**3 + 2*r**3.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*u - 90 = -2*f, -170 = -3*f + u. Calculate the highest common factor of f and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2111)\/((-7)\/9 + 4\/(-18)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -130 - -187. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - g**2 + g + 1. Let n(i) = -3*i**3 + 7*i**2 - 9. Let o(w) = n(w) + 2*y(w). What are the prime factors of o(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 690 is divided by 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -1, 0.1, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 163 (b) -4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 146247529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/24 and 119\/358740.\nAnswer: 717480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 6*f**2 - 3*f - 2. Let y be i(5). Suppose c - y = -3*c. Suppose 8 = -2*s - 2*u, -2*u = 5*s + 3 + c. Solve -2*z + s = -5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57 and 514083.\nAnswer: 514083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a millennium in centuries?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2018725\/154 + -13109. What is the common denominator of i and -69\/35?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**2 - 3*l - 6. Let s be y(6). Let o be (32\/(-17))\/(s\/302). Let w = 41\/51 - o. What is the common denominator of w and -46\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3116715\/19 or 164037?\nAnswer: 3116715\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 106 - (27 - -5) - 44\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/14 + (-2106)\/(-21)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 5*l + 6, -2*g + 6*l + 6 = 3*l. Let k(z) be the second derivative of 1\/6*z**4 + 0*z**g + 0 + 5*z + 0*z**2. Factor k(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a = 18*a + 4*d - 41, -12 = -3*d. Sort a, -41, 4.\nAnswer: -41, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 8.2. Let r = 0.77 + g. Round r to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17.084 - 0.404. Let u = 0.6 - -15.4. Let g = v - u. Round g to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 1415?\nAnswer: 8490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 827068912 divided by 966202?\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6089 - 6089.2. Which is the closest to 0? (a) 3 (b) l (c) 176 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48\/4031 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-63)\/(-162)*-3\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a day in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2*-5)\/(1*(-76)\/19)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (24\/(-9))\/(-2)*3. Suppose -5*x - 5 = 0, -7*s = -p*s + 3*x - 6. What are the prime factors of s - 1 - (-1 - 7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67344.\nAnswer: 2, 3, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -4234091?\nAnswer: -4234091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*o**2 + 3*o**2 - 75*o**2 + 52*o**2 to d + s*o + m*o**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -x**9\/504 + 13*x**5\/60 + 3*x**2. Find the third derivative of b(l) wrt l.\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -8. Suppose c + y - 2 = 0, 4*c - h = -y - 0*y. Find the second derivative of -c*b - 3 - b**2 + 6*b + 3 wrt b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -19.938. Let n = 5.062 - h. Suppose -35*r + 39*r = -4. Sort r, 2, n.\nAnswer: r, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1112002 - -12?\nAnswer: 1112021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -28 - 2*r**2 + 49 - 21. Let p(g) = -6*g + 38. Let n be p(6). Let w(y) = 2*y - 178*y**2 + 214*y**2 - n*y. Determine w(t(o)).\nAnswer: 144*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 8:42 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 5\/2. Let o = 17.97 + -18.07. Which is the biggest value? (a) -19 (b) n (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -444, -1852, -4206, -7500, -11728, -16884, -22962, -29956?\nAnswer: -37860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*s**2 + 68*s**2 - 2*s**2.\nAnswer: 131*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x - 25 = 4*j, -242*j - 242*j + 4*x = -479*j + 24 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 356 + 1102. Round p to the nearest 10.\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385395 is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2010385*d**3 + 51*d - 14118.\nAnswer: -12062310*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/14 - (-3834)\/189. Let n(o) = 15*o + 39 + 23 - m. List the prime factors of n(6).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 912\/(-15 - 23) + 50\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 28894*w + 4. Let t be c(1). Let h be (0 + 12)\/6 + t. Round h to the nearest one thousand.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34736, -68130, -100190, -130922, -160332, -188426?\nAnswer: -215210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c + 2. Let x be 40\/18 + (-4)\/18. What are the prime factors of s(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 284*u - 406. Does 7 divide n(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 437 divide 2460456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from mfmmkmmkkkk?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.62 + 11. Let g = -37.62 - k. Let o = g + 40. Which is the second smallest value? (a) 11 (b) o (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/14)\/((-40)\/(-19320)*69).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29.6 + 6.4. Let y = b - 35.99999926. Round y to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -628550 to the nearest 10000.\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 406 - 72. Round r to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k + 2*k = -30. Suppose -5*u + 30 = 5*x - 0*u, -6 = -k*u. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4124, 4188, 4276, 4388, 4524, 4684, 4868?\nAnswer: 5076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6*v - 4. Let k = -19 - -23. Let q(g) = 13*g - 9. What is k*q(c) - 9*x(c)?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*c - 22*c + 44*c + (-55*c + 151*c + 255*c)*(5 - 3 - 1) - 4*c + c - 2 + 5*c to the form q + b*c and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1175047856 - 708.\nAnswer: -1175048564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -6*w**2. Let c be (-5)\/(15\/(-162)) + 3. Let h = c + -49. Let q(f) = -h - 11 + 19 - 6*f**2. Give a(q(v)).\nAnswer: -216*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11322936 is divided by 96777?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.5 - -10. Sort -0.5, -1.4, v in ascending order.\nAnswer: -1.4, -0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/9 (b) 84 (c) 241\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7 times 7.8076\nAnswer: -54.6532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*((-987)\/188)\/(6*1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 170481*c*v**2 - 122490*c wrt v.\nAnswer: 340962*c*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 8*h**2 - 7*h + 2. Let i be a(7). Suppose -2*l + i = -0, 2*l = 2*v - 168. Let d = 134 - v. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -229884, -459592, -689278, -918930, -1148536, -1378084, -1607562, -1836958?\nAnswer: -2066260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 6:45 AM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 188, 383, 582, 785, 992, 1203?\nAnswer: 1418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p. Suppose 3*x + 5*c + 165 = -2*x, x + 13 = 4*c. Let s = x + 27. Give n(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*h - 659 - 337 + 24*h.\nAnswer: -3*h - 996","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51360 by -2113.\nAnswer: -51360\/2113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + -3 + (-2)\/(-2). What is the units digit of (-32 - 10)\/(l\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4272669 + 524?\nAnswer: 4273193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/4)\/z*z*(z*z**(-3))\/z*z)\/(z*z*z\/(z*z\/(z\/z**4)*z))**(-44) assuming z is positive.\nAnswer: z**(-539\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -3536298 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.78 + -0.03. Let j = w + -0.8. Let o = j + 0.15. Which is the smallest value? (a) 1\/4 (b) -1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/80150 and 169\/30.\nAnswer: 240450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -7 + 5 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1675 = 3*c + 2*c. Let n = -227 + c. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*v = -43*v - 51. List the prime factors of v.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 - 1 - (-44 + (-1 - -38))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -24b4d51 + 2?\nAnswer: -24b4d4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 509\/9 + -57. Let c(z) = -z**2 - 11*z + 14. Let j be c(-12). Let l be 0 + (-27)\/(-15) - j. Put u, l, 0.3 in decreasing order.\nAnswer: 0.3, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 25 (c) -31 (d) 2\/3 (e) 1\/2 (f) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1344 = -5*z - 2*z - 1393 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 251\/4 + 1 - 15\/(-60). Let l = w - 58. What is the smallest common multiple of l and 19?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81293c (base 16) in base 5?\nAnswer: -4131332300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001202000 (base 3) in base 16?\nAnswer: -13881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -38395, -38683, -38971, -39259, -39547, -39835?\n\"Answer: -288*j - 38107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.96 + 0.04. Let y = 0.2123 - 0.2123. What is the nearest to -8 in j, -0.6, y?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*c**3 + 4*c**3 - 9*c**3 + (-5 + c**3 + 5)*(-1 + 0 + 3) + c - c + 2*c**3 - 6*c**3 + 4*c**3 + 6*c**3.\nAnswer: 10*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-30)\/5)\/((-12)\/40). Let w = 92 - 42. What is the highest common factor of w and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 131410\/11 or 11947?\nAnswer: 131410\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -43028 less than -43028?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1663*d**2 - 169*d - 272879 with respect to d.\nAnswer: 3326*d - 169","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -11 (b) -2 (c) 0.3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 183*n - 10*n**4 - 4*n**2 + 9*n**4 + 2*n**3 - 74*n - 95*n + 7 as z*n**2 + t*n + j*n**4 + a*n**3 + c and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3302)\/104 + 32)\/((-20)\/2640).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 73 - 67. Suppose -s - 2 = i, -9 - u = 5*s + 4*i. Let j(b) = 6*b - 2. What is j(s)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -884, -1713, -2540, -3365, -4188?\nAnswer: -5009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 11 = -2*f, 5*f = -b + 9274253. Suppose b = 14*r + 1788458. Round r to the nearest 10000.\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 1 - 13 = -3*b, b - 2*d = 10. Let i = -5 + b. Suppose -4*n - 18 = -6. Is i greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -5, 2, 1 in decreasing order.\nAnswer: 2, 1, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7ca9 + -6?\nAnswer: 7ca3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 - 1462123?\nAnswer: -1462132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 14*l**2 - 10*l + 27. Let u be t(-13). Let c be 40\/(-12)*u\/10. What is the second derivative of 15*s - 7*s - c*s - 10*s - 6*s**3 wrt s?\nAnswer: -36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 157 and 2372?\nAnswer: 372404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56 + 93. Let l = 24 - j. Let z = l + 22. Calculate the greatest common divisor of 6 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1775.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*c**2 - 34*c - 23*c + 212*c to o*c + m*c**2 + u and give o.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + 2*sqrt(19))**2.\nAnswer: -4*sqrt(19) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-140)\/(-6)*9\/6. Suppose 2*j - y = -v + 17, -j + v + 26 = 0. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 2*q - s - 1, -4*q + 3*s - 1 = 0. Suppose 0 = 4*y - y + 4*r - 21, 3 = -y + q*r. Solve y*p - 4 = -7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 258400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.193, -3.1, 0.5?\nAnswer: 0.193","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 7. Let v = 30 - 38. Determine i(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = v + 14, 0 = 3*m - 3*v + 4*v. Calculate the smallest common multiple of 80 and m.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*u - 19*u = 308. Calculate the remainder when 115 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.8311581 rounded to 1 dp?\nAnswer: 10.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - -2) + 0 + (1 - (-66)\/24). Which is the closest to -1? (a) -21 (b) -1\/6 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -90, -167, -244, -321, -398?\n\"Answer: -77*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -189, -388, -551, -660, -697, -644, -483, -196?\n\"Answer: 3*m**3 - 220*m + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s*s**(-3\/5)*s)\/s)\/s)\/s*s*s\/s**(2\/5))\/(s**1*s*s*s**(4\/5)))\/((s**0)**(-2\/3))**(5\/4) assuming s is positive.\nAnswer: s**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 10}. What is prob of sequence eee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 4. Let d = j - -8. Solve 5*l = -2*r - 28, l + 20 = -d*l for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 221 = -t, 6*t - 442 = 4*t + 3*h. Calculate the smallest common multiple of 3 and t.\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 0 - (1 - 3). Suppose -b + 0 = q. Let s(h) = -h**3 - 3*h**2 - h - 1. Let u be s(q). Solve 16 = 2*k + u*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -3, 3, -1, -4 in ascending order.\nAnswer: -11, -4, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(12)*1*2 - -6*(((sqrt(108) - (0 + sqrt(108)))*-2)**2 + sqrt(108))) + 2.\nAnswer: 2 + 44*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 15. Let m(j) = 14*j**2 - 12*j - 10*j**2 + 9 - p*j**2. What is the tens digit of m(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**3 + r - r + (r + 0*r + r)*(2 - 2 + 2*r**2) - 500 - 85*r**3 + 500 in the form d*r**2 + h*r + i + j*r**3 and give j.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 2*z - 3*z - 50, c - 22 = 5*z. Let d = 104 - c. Calculate the greatest common factor of 69 and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*t - 1 + 0*t**3 + 7 + 6*t**3 - 5 + t as k + v*t**3 + j*t + h*t**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 97*n**3 - 5*n**2 + 6*n + 31. Let j(o) = 196*o**3 - 9*o**2 + 11*o + 57. What is 6*j(q) - 11*t(q)?\nAnswer: 109*q**3 + q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -7354*d + 42. Let o(t) = -198381505*t + 1132978. Calculate 80927*j(n) - 3*o(n).\nAnswer: 7357*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/103631 and 42\/1535623.\nAnswer: 16891853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -96688.6 plus 0?\nAnswer: -96688.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 0, 960, -5, -1, -0.004 in decreasing order.\nAnswer: 960, 3\/5, 0, -0.004, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14283*z**2 + 24657*z.\nAnswer: -28566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1826 and 10109?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6504?\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - (132\/4)\/(-1) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -0.2 (c) 9 (d) 3 (e) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (1 + 2 + -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 31*q**3 - 2*q**2 + 4*q + 2. Let k be z(-3). Let j = k - -456. What is j rounded to the nearest ten?\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1019056986 divided by -7713\nAnswer: 132122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -401467, -401435, -401399, -401359, -401315?\n\"Answer: 2*l**2 + 26*l - 401495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2. Let k(j) = j**2 - 2*j + 15891. Calculate k(b(a)).\nAnswer: 4*a**4 - 4*a**2 + 15891","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 3*b + 33, -i + 34 = -4*b - b. Solve 4*s = 5*c + 2*s + i, -3*s - 21 = 4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 l when two letters picked without replacement from {p: 1, e: 3, r: 1, j: 3, l: 6, n: 3}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 107 + 5*f**4 + 32 + f + 27 + 7*f**4 - 168 - 10*f**3 + f**2 to the form t*f**3 + y*f + p*f**2 + u + a*f**4 and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 16370356 - 16370356 + 2077*j as n + y*j and give y.\nAnswer: 2077","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -y**3\/3 - 759. Let u(i) = 11*i + 32. What is u(k(w))?\nAnswer: -11*w**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 7*y**3 + 105*y**2 + 7*y + 83. Calculate d(-15).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -596, -597, -598, -599?\n\"Answer: -k - 595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 148662 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-28)\/42 - 22\/(-6). Solve -3*g + 5*s + 7 = 0, -4*g + 3*g = p*s - 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/7 - (-125080)\/742. Solve g*r + 3 = 169*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 1. Let w(j) = 3*j**2 + 2. What is -4*o(t) + w(t)?\nAnswer: 7*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*k + 3688145 - 3683175 = 0 for k.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7660557080 and 1?\nAnswer: 7660557081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -15*p**3 - p**2 + 2*p. Give r(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n**3 - 1430*n**2 + 13 + 3*n + 716*n**2 + 707*n**2)*(5 + 1 + 2)*(-n + 0*n + 0*n) to r*n**3 + y*n**4 + v*n**2 + z*n + i and give z.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 389.968 millimeters to centimeters.\nAnswer: 38.9968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8796000 rounded to the nearest 100000?\nAnswer: 8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -35*f - 2. What are the prime factors of r(-3)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 184639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 18*z + 318. Let a be j(-29). Let x(n) = -2*n - 3. Give x(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, w: 1, o: 1, c: 3, a: 3, y: 2}. Give prob of sequence ac.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -9*r + 12. Let m be c(-5). Suppose 0 = a + 55 - m. Solve -5*y + 4 = -3*q, -2*y - a*q + 1 = -7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -264?\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(1\/2)\/q*q**(-4)\/q)\/(q**0)**(-15)*((q\/(q*q**(-1)*q))\/q*q)**5\/((q**(-6\/5)*q)\/(q*q**(-3)\/q)) assuming q is positive.\nAnswer: q**(-73\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**2. Let l(j) = -143*j**2 - 3*j. What is l(i(z))?\nAnswer: -1287*z**4 - 9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153\/27*(-2600)\/5525.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (-30)\/(-8) + (-1)\/(-20). Let f = -121 + 121.51. Let t = f + -0.41. Put -3, x, t in increasing order.\nAnswer: -3, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 13 = 3*p - 29, p = 3*v + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand z - 1 - 6*z**2 + 6*z**2 + 2*z**2 + 3*z**2 - 4*z**2 + 0*z**2 + (z**2 - 1 + 1)*(-3 + 0 + 1) + 2*z**2 + 0*z**2 + 4*z**2.\nAnswer: 5*z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 109*c**2 - 314*c - 62. Is 9 a factor of s(106)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + sqrt(200))**2*4 - (sqrt(200) - (sqrt(200) + (sqrt(200) - ((sqrt(200) + 2)**2 + sqrt(200))) + 2))*1.\nAnswer: 120*sqrt(2) + 614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1071640 is divided by 356805?\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (1 - 1)) + 18 + -55 + 38.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3 + (sqrt(405) + -2 + 0 - sqrt(405) - sqrt(405))))**2.\nAnswer: -288*sqrt(5) + 6496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 15. Are b and 5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -86*w + 171. Let m be s(2). Suppose -3*g - 3*h - 12 = 0, 10*g - 5*h = 5*g. Put 27, g, m in descending order.\nAnswer: 27, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11740702 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 - 6*s**3 + 6*s**3 - 6*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, t: 8, m: 5}. What is prob of picking 1 m and 1 t?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) 5\/7116 (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (3 + 15 + -4)) + 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2757, 5515, 8273, 11031, 13789, 16547?\nAnswer: 19305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**3\/3 + i + 4. Let m(d) = -9*d**2 - d**2 + 2*d**2. Give u(m(q)).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19089 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 4. Let g = 2\/3939 - 283618\/19695. Let m = -74\/5 - g. Which is the closest to m? (a) -5 (b) 0.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 3.6. Let f(z) = z**2 + 7*z - 3. Let v be f(-7). Which is the second smallest value? (a) v (b) 1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -169\/726 > 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 4*w + 3*m + 3, -5*m = 4*w - 31. Solve 4*y - 5*j - 45 = 0, -w*y + j = -3*j - 40 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2625\/8 + 3235\/8. Is 77 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4281?\nAnswer: 3, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {v: 2, j: 5, n: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216326 is divided by 1757.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 7.3. Let o = 2.3 - j. Put -5, 0.2, o in decreasing order.\nAnswer: o, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330*t - 282 - 3766 = 2552 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3599025977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 20*x**2 + 44*x - 39. Determine n(-22).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -4602.663.\nAnswer: -4602.663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 543*p**2 + 4*p - 4. Let k(c) = -c**2 + 3*c - 1. Let s be k(1). Suppose -4*d + 15 = -s. Let w be i(d). What is w rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffafkfaffakak. Give prob of picking 3 k.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, s: 6, b: 1, g: 1, w: 4}. Give prob of sequence ssw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14011170 or 14011178?\nAnswer: 14011178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and -68217455?\nAnswer: 68217454.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21.13 in 2\/7, 6, 5, -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 19, 2, -147, 0.0535?\nAnswer: 0.0535","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 16*w + 14. What are the prime factors of i(-10)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 676 + -355. Suppose -3*i + 945 - p = 0. Suppose 4*b - y + 2*y = i, 2*b - 4*y = 122. What are the prime factors of b?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 4*g**2 + 3*g + 5. Let q be t(-4). Let x = 4995 - 4997. Which is the closest to -2\/7? (a) 2\/9 (b) q (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34560 = 12*u + 20*u - 12*u. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = v + 8, -12*v + 8*v + 7 = -3*s. Solve 10 = 2*c - 4*l, -s*l - 10 - 10 = -4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 1)*(3 + 0 - 8)*(0 + 0 + t**3).\nAnswer: -15*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -239 + 227. Let q be (-3 + 1 - -1)*60. Let d = w - q. Does 48 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -v**4\/2 - 15*v. Let f(r) = 4*r + 5*r + 7*r - 8*r + 0*r. What is f(h(j))?\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8\/93 - -278\/2511. Is s > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 20. Suppose -c*q + 67 = -209. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 602\/1865?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 10:19 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 797 divide 1519653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -8, -22, -52, -104, -184?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-6\/19)*x**(2\/57)\/x)\/(x**(1\/14))**32 assuming x is positive.\nAnswer: x**(-1024\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 0*r - 5\/1008*r**8 - 1\/210*r**7 + 11\/180*r**6 + 0*r**3 + 1\/15*r**5 + 9*r**2 + 0 - 1\/9*r**4. Solve z(l) = 0 for l.\nAnswer: -2, -1, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 174436\/7 + -24846. Suppose 0 = -2*d + 3*d - 70. Let x = k - d. Find the common denominator of x and -12\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-270)\/(-25) - 11) + (-76)\/(-5). Suppose 4*k + 6 = z, 2*k + 5*z = 7*k + j. Which is the nearest to k? (a) -2\/5 (b) -4 (c) 1\/2 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 710 + 136. List the prime factors of x.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54669 or -328013\/6?\nAnswer: -54669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1829 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - 3*(1*sqrt(68) - sqrt(68)) - sqrt(68)*-2*-6)\/(((sqrt(576) - (sqrt(576) + sqrt(576)*-1)) + sqrt(576))*-3*-4).\nAnswer: -11*sqrt(17)\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 476*i - 368*i = 324. Which is the closest to -0.4? (a) -0.07 (b) i (c) 1\/4 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 7*f**2 - 4*f + 10. Let r be t(-6). Which is the third biggest value? (a) -17 (b) r (c) 0 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-2 + 28\/8). Solve -i*v - 10 = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x + 15*x = 29646. Suppose 5*s + 2*q = 6717 + x, 4*q = -4*s + 17220. Suppose 5*g = 3*g + s. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/55?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3018 + -4266. Let g = m + 2441. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 229837?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 383*b**2 + 3. Let w(l) = -l**2. Determine n(w(a)).\nAnswer: 383*a**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/7))**(-23)\/(p**(-7)\/(p*p**(-3\/4)\/p*p*p*p*p)))\/(((p\/(p*p**5*p))\/p*p\/(p\/p**(6\/7))*p)\/(p**(-1))**41) assuming p is positive.\nAnswer: p**(-901\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -1232781?\nAnswer: -616390.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*w + 22*w - w)*(0*w + 1 + 0*w + w).\nAnswer: 46*w**2 + 46*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1044 (base 5) in base 10?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6*c**2 - 1. Suppose -3*v = -2*u - 9, -13 + 1 = -4*v + 2*u. Suppose -2 + v = -f. Determine i(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 6*a - 4*a)*(12 - 4 + 4)*(0 + 6 - 4).\nAnswer: -24*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - u - 6. Let a be p(3). Suppose -y + a = -4*s - 1, -s + 2*y = 9. Does 12 divide 5\/s*(-128)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 110 - 1691?\nAnswer: -1581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhxxh. Give prob of sequence xx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 33*k**2 + 36*k + 133. Give b(-32).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g - 2. Let w = -13 + 27. Calculate the least common multiple of h(7) and w.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8350 divided by 12?\nAnswer: -4175\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -546, 5, -5, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 6:57 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*r**2 + r**3 + 50*r**2 - 288*r**2 to p*r**3 + w + k*r**2 + s*r and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -19 + 4*i**2 + 19 - 5*i**2 + 10*i. Give u(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 30 (b) 4 (c) 2\/7 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = j - 21. Suppose 5*b = -3*a + 26, 2*b - 2*a = -3 + j. Let o be (-78)\/(-120) - 1\/b. Is o at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*1*((-2*sqrt(130) - sqrt(130)) + sqrt(130))*3)\/(((sqrt(60)*1)\/sqrt(3))\/(sqrt(2) + (sqrt(162)*-1 - sqrt(162)))))**2.\nAnswer: 3381300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.226 or 1981?\nAnswer: 1981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 444\/6*(-2005)\/401*(2\/2)\/(-5)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/3, -17.8, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -3676.\nAnswer: 735.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -4\/5*f**5 + 0*f**4 + 0*f**2 - 43*f - 37 + 5\/3*f**3. What is the first derivative of c(w) wrt w?\nAnswer: -16*w**3 + 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -61256.5142 to the nearest integer.\nAnswer: -61257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (149\/(-298))\/((-9)\/2*1*(-10)\/70).\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24219604 * 0.4.\nAnswer: -9687841.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26382 and 4668.\nAnswer: 20525196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1503839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from axwfooofayyaofa.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 1284 - 110 = -3*b, -5*h - 5*b = -1400. What are the prime factors of h?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -2. Let r be -3 + (u - 0) + -2. Let s be 5\/r*16\/(-1). Solve 0 = -3*c - 2*c - s for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 4*n = -16. Let l(w) = -w**2 + 14*w - 12. Let b be l(8). Calculate the greatest common divisor of n and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**23*f)**(1\/13)\/(f\/f**(-19\/4)*f**(-1\/2)) assuming f is positive.\nAnswer: f**(-173\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/20*1*(-8682)\/4. Let j = -2595 + h. Calculate the common denominator of -29\/146 and j.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j + 11*j + 9*j**2 + 27 - 8*j**2 - 12. List the prime factors of l(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, -60, -163, -286, -417, -544, -655?\nAnswer: -738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -593 - -597. Solve -2*l = -3*p - 4, p + 3*l = 5*l + b for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -8514901171697\nAnswer: -8514901171696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 79 - (6 - 14 - -16) - (10 + -7 + -5)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/6 - 40\/15. Let n = -11 - l. Let v = n - -7. Let r(d) = 4*d**2 + d + 1. Determine r(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 421*r**3 + 3*r**2 - 31*r - 34. Let b(l) = 140*l**3 + l**2 - 11*l - 12. Calculate -17*b(z) + 6*k(z).\nAnswer: 146*z**3 + z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g\/g**(2\/3))\/g*g)**(-2\/89)\/(g**(2\/7)\/g)**11 assuming g is positive.\nAnswer: g**(14629\/1869)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.48 - -0.8. Let f = 3.328 - j. Round f to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61 by 1.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*5\/75*(165\/(-40))\/(-11).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (29\/((-5887)\/174))\/((-16)\/35)\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4385876390 rounded to the nearest 1000000?\nAnswer: -4386000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12*(12\/(-8) - -1). What is the remainder when (8\/6)\/(j\/(-81)) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2560653 or -2560457?\nAnswer: -2560457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 8616019?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhmhvuhyvhhyih. What is prob of picking 1 m and 1 v?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**2\/2 - 2778*d + 542655\/2 = 0. What is d?\nAnswer: -1945, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 1\/2*x**2 - 1 + 5*x - 1\/4*x**4 - 4\/3*x**3. Let u be a(-4). What is the smallest value in 0.3, 4, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 378245?\nAnswer: 5, 7, 101, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -401*b = -237*b + 1804 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -43.41 and -6.\nAnswer: 260.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 less than -4932?\nAnswer: -4950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -8 - -4)\/1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 185327 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 + 36*x**2 - 4*x - 36.\nAnswer: 4*(x - 1)*(x + 1)*(x + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*d - 2140 = -89*d. Round d to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 23 + 2. Let i be (-2)\/((-8)\/(4\/1)). Suppose -2*v - i = -u. Calculate the lowest common multiple of v and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 - 24 = -2*i. Suppose -5*q + 7 = 2. Is -2 + -1 - i - q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -3. Let g = q - 17. Which is smaller: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -4*k + x + 19, 3*k - 15 = x. Suppose k*b - 17 = 7. What is the second derivative of -4*r**3 + 7*r + b*r**3 - 2*r**3 + 9*r**3 wrt r?\nAnswer: 54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11646580 divided by 3487.\nAnswer: 3340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*f + 21. Let g(o) = 20*o - 64. Let t be g(f). Let j(w) = -w**3 - 3*w**2 + 6*w + 6. Give j(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 e when three letters picked without replacement from {k: 2, g: 3, e: 9, t: 2}.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 74.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.25601 + -1.25601. What is the smallest value in 27, l, -0.069?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c - 1. Let q be h(-3). Let z be 0\/(q + 0) - 64. Let j = 106 + z. Calculate the highest common factor of j and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/12 - -1\/3. Let a(l) be the first derivative of 2\/3*l**3 - x*l**4 + 2 - 2*l + 1\/2*l**2. Suppose a(f) = 0. What is f?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -604 in 28, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8610 and 19803?\nAnswer: 198030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 3:51 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence un when two letters picked without replacement from dacnddacdddnddcudddd.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*c - 27 = 46*c - 4*x, 5*x = -3*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 344 + 2039. Does 25 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1065990949.\nAnswer: 1065990949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1392 = 4*z - 2*i, -z - 6*i + 682 = z. Calculate the remainder when z is divided by 115.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 575, 571, 565, 557, 547, 535?\nAnswer: 521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/3*((-210)\/(-12))\/(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*f**2 + 1877694*f - 123524133?\nAnswer: -26*f + 1877694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1364 - -609. Let a = -1316 + n. Does 55 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -1. Let h(l) = 2*l**2 - l - 74*l**3 - 71*l**3 + 144*l**3. Let t(b) = 3*b**3 - 7*b**2 + 5*b - 8. Let u(q) = -4*h(q) - t(q). Determine u(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1889\/2 + -943. Suppose -6*m - w + 24 = -3*m, 2*m = 3*w + 5. What is the biggest value in m, -2, f, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 4*x + 1. Let f be l(4). Let b = -79 + f. Let w = -20 - b. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2352 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9*(-2 + (6 - 3)). What is the second derivative of -9*m**5 + m**5 - m**5 + p*m - 16*m**5 wrt m?\nAnswer: -500*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5109 less than or equal to -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c + 6. Let v be y(-3). Let r(m) = -m**3 + m**2 + 3*m - 2. Let q be r(2). Differentiate 2*p**v - 2*p**3 - 3*p**3 + q - 2 wrt p.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f - 29. Let z(d) = -d - 14. Let n(c) = 3*l(c) - 7*z(c). Determine n(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, k: 2}. What is prob of picking 2 k?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -367.9774788 rounded to the nearest ten?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -37*n**2\/2 + 208*n - 232. Let s be c(5). Calculate the greatest common divisor of s and 851.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*c*u**2*v + 2*c*u*v + 4*c*v**2 - 5*c - 2*u**2*v**2 wrt u.\nAnswer: -38*c*u*v + 2*c*v - 4*u*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f + 407. Let v be w(0). What is the second derivative of v*i - 416*i + 0*i**2 - 27*i**5 + 0*i**2 wrt i?\nAnswer: -540*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -384, -35, 1\/2, -0.5, 4?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -7. Suppose y*d - 7 = 2*n, 2*n + 5 = d + 4. Solve -d - 1 = -4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(2 - 5 - 1)*(2 - 3 + 0)*(-p + 4*p - p + (3 + 0 - 2)*(-p + 6*p - 4*p)) - 61 + 312739*p - 312727*p + 14.\nAnswer: 36*p - 47","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 5*k**4\/24 - k**2\/2 + 10*k - 1. Let d(m) be the second derivative of o(m). Let h(q) = 41*q**2. Calculate h(d(v)).\nAnswer: 1025*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-287)\/41)\/((26\/117)\/((-4)\/(-9)))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 900281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 394\/5, -2\/1737?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 655600 and 320.\nAnswer: 2622400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7289 - 80232\/11. Find the common denominator of 124\/6*3\/5 and k.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 1:57 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/358584 and 89\/1608.\nAnswer: 358584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 22*c**2 + 376*c - 149. What are the prime factors of o(44)?\nAnswer: 61, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + -4*(0 + 5\/4). Let d = -35 + 33. Let c be (-10)\/(-35)*(-1)\/d. Which is smaller: c or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 106*m**2 - 92*m + 24. Let o be v(4). What is the highest common divisor of 40 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.74662022 to 4 decimal places.\nAnswer: 4.7466","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1110 + 62?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 23 = 3*w. Let j be w\/20*(5 - -1). Does 15 divide (j\/(-2))\/(27\/(-360))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7231431*g*z**3 + 51*g*z**2 + 157*g*z + 2*g + 3*z**3 + 11*z**2 - 6 wrt z?\nAnswer: -43388586*g + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.04 from 12.381025521.\nAnswer: 12.341025521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137, -274, -411, -548?\nAnswer: -685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.31 + 1.69. Which is the second smallest value? (a) -3\/8 (b) 1\/5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(5654\/330 - (-4)\/120*-4). Which is smaller: a or -184\/11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 16 - 4*p**2)*(-4*p - 18*p - 7*p)*(2*p**2 + p - p).\nAnswer: 232*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-15)\/r*r*r**(-17) assuming r is positive.\nAnswer: r**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 63 + 2 + -3 + 2. Suppose -2*o + a = -a - w, -3*o - 5*a = -120. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/((-48)\/63))\/((36\/(-60))\/((-60)\/(-250)))?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*i = 98*i - 36 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4225 - 4252 - (0 - 13).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + d)*(-1 + 1 - 1) - 4*d + 2*d + d + 3*d - 2 + 2.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 868 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.814 - 0.038. What is c rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ttttttttttttttttstt.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -317, 4, 5.\nAnswer: -317, 4, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 328380839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -304403?\nAnswer: 304411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 28.066515 and -0.3.\nAnswer: -8.4199545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -314.1062 + 314. Round h to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, y: 6, q: 2, p: 1, d: 4}. Give prob of picking 1 y, 1 p, and 2 d.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 28663b?\nAnswer: 28663c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, e: 1, y: 5, o: 2, k: 5, f: 1}. Give prob of sequence kofy.\nAnswer: 5\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + -402.\nAnswer: -420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1905*v + 6380 = -8860 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 - 25*k + 4. Let p be s(13). Let t = p + 661. Suppose -33\/4*m**4 - 25\/2*m**3 - 19\/4*m**t + 0 - 1\/2*m = 0. What is m?\nAnswer: -1, -1\/3, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -22*v**3 - 3*v**2 - 3*v + 3. Let t(g) = -87*g**3 - 13*g**2 - 13*g + 13. Let k(a) = -9*s(a) + 2*t(a). Suppose -20*d - 8 + 28 = 0. Calculate k(d).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1435 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/7 (b) -0.06 (c) -0.036 (d) 12 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262*i**2 - 541*i**2 + 270*i**2.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -5*r + 37. Let a be x(7). Let p be (7 - -3)\/(4 - a). What is the highest common divisor of p and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.502 + -336636815.\nAnswer: -336636814.498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -668 divided by -5.\nAnswer: 668\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11211 + 10002?\nAnswer: 21220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21982.3607 rounded to the nearest one hundred?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = f + l, 64*f - 15 = 63*f - 14*l for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-480))\/((6\/2)\/18).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**5 + 3415*t**4 - 549315*t**3 - 11704095*t**2.\nAnswer: -5*t**2*(t - 351)**2*(t + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 58*h + 318. Determine x(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*s**2 - 10*s**2 - 2*s**2)*(-3 + 3 - 2*s)*(3*s - s + 0*s) - 2*s**2 + 2*s**2 + 2*s**4.\nAnswer: 14*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -70, -1, 5 in descending order.\nAnswer: 5, 3, -1, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j + 7. Let z(y) = 5*y + 7. What is 4*l(b) - 3*z(b)?\nAnswer: b + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a - 11. Let r(t) = -1. Determine -d(g) + 3*r(g).\nAnswer: 2*g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 14*f**3 - 7*f + 5. Let c(d) = -21*d**3 + 11*d - 8. What is -5*c(w) - 8*p(w)?\nAnswer: -7*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirteen quarters of a micrometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1292*f**4 + 1880*f**3 - 5369956?\nAnswer: 5168*f**3 + 5640*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 3*p + 5 + 6 - 6*p**2 + 1. Let o(f) = f**2 - 1. Let a(v) = 12*o(v) + z(v). Find the second derivative of a(w) wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhfrrxfja. Give prob of picking 1 f and 1 r.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 2\/3*q**3 + 5\/12*q**4 + 2\/15*q**5 + 0*q - 4 + 2*q**2 + 1\/60*q**6. Find b such that k(b) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -98*g - 35. Let k(q) = 2*q**3 + 20*q**2 + 12*q - 19. Let u be k(-9). Let z(t) = t + 1. Let r(j) = u*z(j) + l(j). Let i(b) = -3*b. What is i(r(w))?\nAnswer: 189*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2317*s + 2 - 2194*s - 2 in the form c + x*s and give x.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 13. Suppose 4*w = -c - 5, 24 = 5*c + m*w + 4. Suppose -4*a + 21 = -c. Calculate the least common multiple of 2 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 0.2, -2\/13, -4, 0.1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 10 - (-185 - (-39 + -41)).\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 800 and 311425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/3 or -2.4?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-6) - 55\/15. Let f = -6 - a. What are the prime factors of 2*(f - 22\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2577991606 + 1?\nAnswer: 2577991607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 126*i**3*j**4 - 2*i**3 - 2*i**2*j**2 + 2*j**2 wrt j?\nAnswer: 3024*i**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*f - 48*f - 11*o - 138 = 0, f = 4*f + 3*o + 93 for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3506 is divided by 77.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 141*p + 1196. Let w be z(8). Let b(g) be the third derivative of -g**4\/24 + 5*g**3\/6 + 2*g**2. Calculate b(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + -2 - 1\/(2\/(-7568)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2670 and 5418765?\nAnswer: 1335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 7*p**2. Let c(x) be the third derivative of -2*x**2 + 0 + 1\/6*x**3 + 0*x - 1\/24*x**4. Let r be c(2). Calculate s(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2309, 4620, 6931?\n\"Answer: 2311*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/7 (b) -5\/127 (c) 3 (d) -6 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -58 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmomvnvmmnnmojo. Give prob of sequence mo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**3 + 67*k**2 - 32*k + 68. Let s be a(-34). Suppose -17*p + 4*p + 5044 = s. Calculate the remainder when p is divided by 56.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -182 (base 16) to base 9\nAnswer: -468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6976716 by -46.\nAnswer: -3488358\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*s = 2*t + 10, s = 4*t - 9. Solve -4*i - 5*n = 11 - t, 5*i = -3*n + 5 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7214698.\nAnswer: 2, 17, 443, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, a: 1, k: 1, b: 1, h: 1}. Give prob of picking 1 a, 1 i, and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 4:40 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -43639 < 18\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**5 - 11*b**4\/4 - 767*b**2\/2 + 1954. Find the second derivative of d(k) wrt k.\nAnswer: 60*k**2 - 66*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 10*r**2 + 7*r - 6. Determine o(-11).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 4*s - 37, -6*i - 2*s - 31 = -7*i. Suppose -43 = -2*w - 5*o + 2*o, 0 = -3*w + 4*o + 39. What is the remainder when i is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1311323 (base 4) in base 11?\nAnswer: -5741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 185821 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: How many minutes are there between 12:58 AM and 12:46 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - 19. Is (-9709)\/(-35) + (-2)\/u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.9, 1\/30, -2, -3 in ascending order.\nAnswer: -3, -2, -0.9, 1\/30, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 6*a. Let c be (-4)\/(-1) - (-5 + (6 - 0)). Suppose -2*d = -d. Suppose 0*s - 5*s + 40 = d. Let b(p) = -2*p. Calculate c*x(n) + s*b(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 10*l + 11. Let d be t(-7). Let f be ((-4)\/6)\/(d\/(-15)). Which is the closest to -2? (a) -4 (b) -0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*h + 10. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -696*b + 4680 = -8212 - 1028 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6*88.23231\nAnswer: 529.39386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 1426 - 1436 = 0. Suppose -5*c + n = c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1620 - 1621. Sort 1\/5, y, -3, 2 in decreasing order.\nAnswer: 2, 1\/5, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -984 - -985. Let r be (8\/24)\/((-1)\/(-12)). Which is the nearest to -0.9? (a) r (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11, -47, -99, -161, -227, -291?\n\"Answer: r**3 - 14*r**2 - r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -25*g**2 + 7*g - 4. Let t(q) = -3*q**2 - 1. Determine j(w) - 5*t(w).\nAnswer: -10*w**2 + 7*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.57415 to 2 decimal places.\nAnswer: 9.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from iiiiiiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, m: 3, p: 1, c: 3, a: 2}. Give prob of sequence cmfc.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -132, -369, -782, -1425, -2352, -3617, -5274?\nAnswer: -7377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87041874 to the nearest integer?\nAnswer: 9330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of p**4\/6 - 13*p**3\/3 - 43*p**2\/2 + 4*p + 5. What is the first derivative of h(r) wrt r?\nAnswer: 4*r - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (2 + -2)) + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 119 + -57. Let f(j) = 44 + y*j + 49*j + 13*j. Let d be f(-11). Round d to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27481580.9915 - 27488777. Let w = -7194 - c. Let f = 2 - w. What is f rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7*w**3 - 9*w**2 + 4*w - 7. Let m(k) = k**3 - k**2 + k. Let h(o) = -6*m(o) + p(o). Is h(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/4 of a hour?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5095 + 5094.9. Let k = -0.62 + -15.58. Let o = k + 15. Is o != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -5. Which is the closest to -0.1? (a) 0.3 (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 6 = -2. Let g(m) = 5*m - 3*m - m**2 - 7 + 8 - x*m**3. What is g(2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -62?\nAnswer: -5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -6*j. Suppose 3*y + 6 - 15 = j. Solve y - 2 = -o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 2*j - 3*j)*(2 - j - 2) - 3*j**2 - 2*j**2 - 4*j**2 + 108*j**2 + 65 - 65 + (-j - 2*j + 2*j)*(0 + 0 + 2*j).\nAnswer: 98*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.6637 - 6.3363. What is the smallest value in -92, f, 2, 7?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 2 in ascending order.\nAnswer: -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -1\/515675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 35*n + 28. Determine r(-4).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2820 is divided by 113.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -30547 + 9931. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 5*d - 133, -3*d = 333*y - 329*y - 93. Calculate the remainder when 673 is divided by y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (45\/(-4))\/(1\/(-4)). Let d be (8\/5)\/(((-637)\/130)\/(-49)). Suppose d*m - 11*m = u. Solve m = -2*h + 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 71.94893cm?\nAnswer: 719.4893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(27*(-13)\/(-351))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-111)\/(-15) + 6\/10. What is the highest common divisor of 56 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 w, and 1 t when four letters picked without replacement from {r: 3, w: 1, n: 5, t: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 8701*a + 1270324. Determine m(-146).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12285 and 1603251?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -10*s - 4. Calculate h(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6*r**3 + r**2 + 1. Let q(c) = -244*c**3 + 5*c**2 + 456. Let z(h) = 4*g(h) - q(h). Differentiate z(y) with respect to y.\nAnswer: 660*y**2 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 5:11 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 11533.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**6\/120 - 3*k**5\/20 + k**4\/8 - 7*k**3\/6 - 5463*k**2. Calculate d(9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, u: 1, a: 1}. Give prob of picking 1 a and 1 j.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 13. Let o be -3 + (-1 - -4 - 2). Let u be (o + -7)*h\/12. Solve -u*q + 2*q = -5*f - 30, -15 = 2*f - q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1410604 is divided by 61?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2101010000012 - 12?\nAnswer: -2101010000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**5\/20 - q**4\/12 + q**2\/2 + q. Let i(h) = 6*h**3 + 0*h**3 + 4*h**2 - 5 - 3*h**2 + 3*h**2. What is -2*i(u) - 10*t(u)?\nAnswer: -2*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4688 = 1190*p - 1483*p. What is f in 1\/3*f**4 + p*f**2 - 64\/3*f + 0 - 4*f**3 = 0?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27621*y + 27585*y - 55199*y.\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 3*f + 4 = l, -3*l = -f + 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**5\/60 + 23*r**4\/24 + r**3\/2 - 20*r**2. What is the remainder when m(14) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v - 3*v + 0*v - 5*v + 2*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7950\/900 - ((-14)\/12 + 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-2 - -7) - (61 - (-21 - -48))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 2. Let l be z(0). Let w be ((-6)\/(-4))\/(l\/(-4)). Suppose 0 = -w*t + 3*y + 3, y = -4*t + 2*y + 7. Solve 3*f + 0 = 4*o + 2, t = -2*f + o for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxhxxxxsxroshx. Give prob of sequence ssxh.\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i*r**3 + 297511*i*r + 1105361*r**4 wrt r.\nAnswer: 6*i*r + 13264332*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/50 in 20\/7, -1\/6, -0.0472, 10, 2?\nAnswer: -0.0472","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -d**5\/60 - 76*d**2. Let p(y) = -2*y**2 - 57*y. Determine p(k(a)).\nAnswer: -2*a**4 + 57*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 20. Let j be (-1)\/2 + 21\/2. Let x be j\/(-24) + (-2)\/(-8). Is x less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 79, 177, 315, 493, 711?\nAnswer: 969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 12*s + 3709. Is x(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 214004 (base 5) to base 4\nAnswer: 1303103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - 1443b?\nAnswer: -14442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 41 = -3*g, d = -2 - 0. Let z = g + -7. Suppose -10 = -2*q + z. Solve -4*p + 4*o + 8 = 0, 2*o + 3 + q = -5*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + r + 95 = -3*q, q - 5 = 0. Suppose -3*t = -12, z = 3*z - 2*t - r. What is the highest common divisor of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (4 - 0 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-198)*(25 - 34)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 761889 is divided by 2548.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 - 25*(-20)\/(-100).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4411 (base 7) in base 5?\nAnswer: 22301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 162.4 and 451706.\nAnswer: 451868.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7924 and 7924.\nAnswer: 7924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.04 and -594.6017?\nAnswer: 590.5617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(-2073 + -10 + -5). Is g < -4176?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a year in months?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -55858 less than -55953?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12461 is divided by 495?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 8*s + 676. Is z(0) a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggeeggxegmfggggx. What is prob of picking 2 e, 1 x, and 1 g?\nAnswer: 11\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 170056\/10392327 + -54\/3181. Is n less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 193 = -2*c, 0*c - 192 = -2*c - 4*k. Calculate the remainder when c is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 q when two letters picked without replacement from {c: 5, t: 1, q: 1, p: 1, y: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5184236 (base 9) to base 4.\nAnswer: 22210232031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -42620.\nAnswer: 85240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*p - 19*p - 7*p. Let z(c) be the second derivative of 1\/12*c**4 + 0*c**3 + p - 2*c - c**2. Calculate z(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w + 3760 - 466 + 2868.\nAnswer: -10*w + 6162","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 152 - -1?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1731627621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 3*g - 4*g**3 + 0 + g**3 + g**3 to the form f*g + r*g**2 + h*g**3 + l and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 5*v - 7. Let g(i) = i**2 + 6*i + 5. Let r be g(-6). Calculate s(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1746148, -3491751, -5237354?\nAnswer: -6982957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -27*w - 2. Let u = 42 + -40. Suppose 3*s - 4*s = -u. Let p(v) = 13*v + 1. Let o(a) = s*z(a) + 5*p(a). Give o(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/25)\/(1*(-2)\/5).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 94*u**3 - 454*u - 3*u**4 - 8567*u - 289*u**3 - 5766 - 3447*u**2.\nAnswer: -3*(u + 1)*(u + 2)*(u + 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -25*i**3 + i**2 + 2*i - 2. Calculate o(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (-2 - (-11 + 8 + -8))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(1100) - (sqrt(11) - (sqrt(11) - (1 + sqrt(11)))*-1).\nAnswer: -11*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -v - 0*v - 15, 3*i = 2*v + 10 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuuuujjjj. What is prob of picking 1 u and 2 j?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 32*z + 415. Calculate v(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2236760?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + -4.63.\nAnswer: -5.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.197 and -3.2528?\nAnswer: 3.4498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5338, -10674, -15910, -21046, -26082, -31018?\nAnswer: -35854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 40*k + 37. Let b be p(-6). Let f = 206 + b. Solve -f - 8 = 3*q - u, 2*u = 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 545537279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 106722 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 198909025 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 10, 1, -4 in descending order.\nAnswer: 10, 5, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 134.536 and 246.6.\nAnswer: 33176.5776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17787\/231)\/((-1)\/(13\/(13\/(-2)))*-2).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9536.6228 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 4. Let y be 6\/9 - 2\/v. Let o = y + 2. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-654)\/108 - -6). Let m = 35\/22 + -144\/11. Find the common denominator of m and (-3)\/(o\/34) + (-129)\/86.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.8 plus 0.9791?\nAnswer: 48.7791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -23, -155, -363, -653, -1031, -1503, -2075, -2753?\n\"Answer: -t**3 - 32*t**2 - 29*t + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 116177240*f**2*p**2 - 2*f**2*p + f**2 + 36*f*p + 554*f - 2*p wrt p.\nAnswer: 232354480*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(390 - 7*u + 488 - 886).\nAnswer: -7*u - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a microgram in nanograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 - 3*v**2 + 5*v**2)*(14*v - 6*v - 9 - 10*v).\nAnswer: 2*v**3 + 9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 12*o + 4. Let q = 8010 + -8007. Let u(z) = -23*z - 7. Determine q*u(s) + 5*f(s).\nAnswer: -9*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((32\/14)\/(-4))\/(3\/(-7))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 114560.88 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5 + (3*(1 + sqrt(684)) - sqrt(19)*-1*-5*5))**2.\nAnswer: -112*sqrt(19) + 992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*s + 13. Let n(i) = -3*i**2 + 5*i + 6*i**2 + 3 - i**3 + 3 + i**2. Let q be n(s). What is the highest common divisor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 - 29. Calculate the remainder when 47 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.403 + 1.33. Let d = h - 0.127. Is 2\/379 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*j - 8889 + 7764 for j.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 338\/312*(-5)\/(-25). Let l(u) be the third derivative of -7\/24*u**4 + 0*u + 0*u**3 + u**2 - d*u**5 + 0. Find the second derivative of l(i) wrt i.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -27328009 and 5.\nAnswer: -136640045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71525.\nAnswer: 5, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343*c + 394*c - 109*c - 30144 = 0 for c.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 582167 at most as big as 582153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 2614?\nAnswer: -2610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t + 1. Suppose -2*r + 2*g + 26 = 0, -3*g = 5*r - 24 - 41. Let s(n) be the second derivative of -4*n - 2\/3*n**3 - n**2 + 0. Give r*k(u) + 6*s(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g + 6. Let y be a(0). Let f(m) = -7*m**2 + 6*m + 6. Let k(t) = -t**2 + t + 1. What is y*k(i) - f(i)?\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s + 3*s**2 - 3 - 2*s**2 - 1. Let q be n(4). Does 14 divide (3 - q) + (-1 - -12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 82.39 + -82. Let x = y - 0.32. What is the third smallest value in x, -3, -2\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-18)\/8 + 2)*6)\/(13\/(-6448)*24)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47699337, -47699340, -47699343?\nAnswer: -47699346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1291 + -1407.05. Let s = 116 + n. Is s >= -0.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5696 a factor of 5274521162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7553 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 40\/30 - 828351\/(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2)*(2 - 8 - 2)*(-2 - 8 + 2)*(-3*f + 0*f + 2*f).\nAnswer: -128*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3556 + 3?\nAnswer: -3553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/15 + (-21)\/60. What is the closest to g in 1, 0.3, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1693? (a) 2 (b) -2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 1. Let g(o) be the second derivative of -o**5\/10 - o**4\/12 + 7*o**3\/3 - 5*o**2\/2 - 199*o. Let l(x) = 2*g(x) - 6*y(x). Factor l(z).\nAnswer: -4*(z - 1)**2*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f - f - 4*b + 24, -5*b - 51794 = -4*f - 51734 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qyql when four letters picked without replacement from llyqozoy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*1 - (7 + -11). Let m = -65.321 + -0.779. Let k = m + 66. What is the closest to k in -4, x, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -147*t + 16966 - 6529 for t.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -91 - -34. Let z = -0.017 - 59.983. Let s = z - q. Which is the third biggest value? (a) -5 (b) s (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30551058.12 to the nearest 1000.\nAnswer: -30551000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1101100 (base 2) to base 6\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275 is divided by 87.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q**3 - 4*q**3 + 2*q**3)*(12 + 30 + 10) + (4*q**3 - 2*q**3 - 5*q**3)*(-3 + 2 - 1) as m*q + r + f*q**2 + k*q**3 and give k.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 18, 3, -508, -1.\nAnswer: -508, -5, -1, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4*(3 + (-129)\/12).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) - sqrt(567)*1)*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 1)*(-6*z + 34 - 34)*(59 - 35 - 47).\nAnswer: 138*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 305655 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 88 = 308. Suppose x + 1 = 0, -k + 26 = -4*o - 4*x. Suppose -i = -0*i - 4. What is the remainder when o is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4*g - 8, 5*w + 0*w + 5*g = 25. Suppose -4*b + w*b - 4 = 0. Factor 228*n**4 - 8*n**3 - 232*n**4 - 2*n + b*n.\nAnswer: -4*n**3*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 6:23 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -288 (base 10) to base 3\nAnswer: -101200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11336 divided by 8?\nAnswer: 1417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -56 - 26234?\nAnswer: -2628a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 5*j**2 - 6*j + 2. Let v be d(6). Suppose -r - 41 = -v*r. Suppose 5*a - r = -2*p, -2*p = -8*a + 5*a + 31. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 45 = f - 2*v, 2*f = 5*v - 3. Let x(j) = -5*j**2. Let m(k) = -2*k**2 - 5*k**2 + 6*k**2. Give f*m(l) - 2*x(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddkkddddd. What is prob of sequence dk?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -1100111001010000001000000?\nAnswer: 1100111001010000001000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 119*g + 4033 - 10459 for g.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -21 + -21 + 1 + (216 - 170) - 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -g**5\/60 - 3*g**4\/8 - g**3 - 2*g**2. Let y be b(-8). What is the third derivative of -z**4 + 0*z**2 - 3*z**2 - z**y wrt z?\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4 + 1 - 1 + 2 + 4*h. Let p(m) = m - 1. Determine -l(t) + 3*p(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - 7*b + 3*m + 3, -b = 4*m + 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 1:46 PM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -302 (base 5) to base 7.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*g - 33*g - 60*g.\nAnswer: -285*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**3 + 0*k**3 + 0*k**3 + (13*k + 26*k - 14*k)*(2*k**2 - k**2 + k**2).\nAnswer: 49*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.115 take away 0.0091?\nAnswer: -65.1241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32767.39 - 32817. What is j rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10555 - -12053250?\nAnswer: 12042251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -203. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81376233 and 36479001?\nAnswer: 1057891029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 24 = -4*j + 4*p, 29 = 5*j - 3*p. Find the second derivative of 2*k - k + 0*k - j*k**5 wrt k.\nAnswer: -80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17872 + -11074. Is u a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*a + 110*a - 18*a - 37*a.\nAnswer: 111*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 1 + m)*(-4 + 4 + 1) + (1 + 0 + 4)*(m + m - 4*m))*(18*m + 129*m - 20*m) + (m + 0 + 0)*(m - 4*m + 4*m) in the form l + b*m + d*m**2 and give d.\nAnswer: -1142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4\/57 - -5\/19. Let g = -28.72 + -0.28. Let o = g - -28.9. Put o, -0.2, m in descending order.\nAnswer: m, o, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -1, 3 in ascending order.\nAnswer: -1, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i**2 + 144*i + 1577. Determine q(-33).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 + 10*z - 34. Let p be w(4). Let o = p - 5. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i - 37. Let z be b(-20). Suppose 0 = 4*w + z*c - 493, -w + 264 = w - 2*c. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1808, -1849, -1902, -1955, -1996, -2013?\nAnswer: -1994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, j: 2, y: 1, x: 3, a: 4}. Give prob of picking 1 y, 1 u, and 1 j.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -0.1 (c) -1\/7325 (d) 10\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4198 by 14.\nAnswer: 2099\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -464.1 - -464. Which is the nearest to -5? (a) x (b) -0.09 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 12*x**3 + 4*x**2 + 5*x - 4. Let n(c) = -216*c - 1 - c**2 + c**3 + 2*c**2 + 217*c + 2*c**3. Let r(q) = -9*n(q) + 2*y(q). Calculate r(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-470)\/6*(-123)\/41. What is the highest common divisor of a and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - (50 - 22) - 67) + (3 - (-1 - -3))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/14168965 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/3)\/v)**(1\/12)*(v\/v**5)\/v**(-5) assuming v is positive.\nAnswer: v**(31\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 464 = 258*g - 254*g. Suppose 2*c + g - 334 = 0. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-12\/11)\/u)\/(u*(u*u**(-1\/59))\/u) assuming u is positive.\nAnswer: u**(-1995\/649)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y - 11. Let c be 6\/(-10) - 280\/(-50). Let r(j) = j + 5. Let b(q) = c*r(q) + 2*f(q). Give b(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50645320 divided by -80135.\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (400\/(-90)*15)\/((-56)\/21).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*i - 9*i - 5, -20 = 4*q. Suppose 7*k - i*k = 0. Suppose 4*c - 132 + 44 = k. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-5))**(6\/11))**0\/((i*i**(-4\/3))\/i**16)**(15\/4) assuming i is positive.\nAnswer: i**(245\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + 1 = -15. Let m(v) = -88*v + 37. Is m(q) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 3:33 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 497 = 3*q - 5*q, -3*u - 15 = 0. Let o = q + -1179\/5. Which is the fourth smallest value? (a) o (b) -10 (c) -3\/4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1062, 5913, 19178, 45075, 87822, 151637?\nAnswer: 240738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 4*d**2 + 4*d + 4. Let l(f) = 6*f**3 + 27*f**2 - 27*f - 27. Give -4*l(y) - 27*m(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4, 2, 3, -12 in decreasing order.\nAnswer: 4, 3, 2, 0.3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*x = -22*x - 288 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1939810*m**3*y + 16355256*y wrt m.\nAnswer: -5819430*m**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3416, -3430, -3452, -3482?\nAnswer: -3520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8376884?\nAnswer: 2, 2094221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 23\/4. Let q = 22 + -108\/5. Let x be 4\/6 - 84\/18. Which is the third smallest value? (a) q (b) t (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1007 and 0.0105.\nAnswer: 1007.0105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(180) - (sqrt(180)*-2 - sqrt(180)))*-2)\/sqrt(4))\/(-3*sqrt(9)*-1*-3).\nAnswer: 8*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (10 + -8 + -6 - -4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13080, 37630, 62180, 86730, 111280?\n\"Answer: 24550*t - 11470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 + -68. Suppose 4*t - 2*t = y*w + 173, -t - 4*w + 80 = 0. Is t a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3268*h + 661. Is j(19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -h + 13, 294*k - 293*k - 3*h + 11 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-110)\/(-10) + 63145\/(-5709).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 12:00 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 165545.7ug to grams.\nAnswer: 0.1655457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 - -1122101?\nAnswer: 1121210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138270.\nAnswer: 2, 3, 5, 11, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**3 + 43*u**2 + 23*u + 49. Let l be c(-21). Let m(v) = v**2 - v - 7. What is the remainder when 97 is divided by m(l)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -309 + 94. Let j(t) = 6*t + 3. Let o be j(-3). Calculate the remainder when n is divided by (o\/(-2))\/(1\/2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 7*o = 0, t + 2*o = -30. What is the units digit of (-3)\/(-2) - 2385\/t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23541 and 228.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 39 = -2*x + 13, x = 2. Let a = i + 29. Calculate the remainder when 62 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 117.9 (c) -1 (d) -3 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m - 1. Suppose 0 = -5*j + 1 + 4. What is n(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -0.46.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/4 - 671*b**2\/4 + 3635*b\/2 - 1650.\nAnswer: (b - 660)*(b - 10)*(b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 14e47 (base 15) to base 7\nAnswer: 400222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -702710732+-5\nAnswer: -702710737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from ooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 13.1?\nAnswer: 3.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10375, 11178, 11981, 12784, 13587?\nAnswer: 14390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -4*x. Let p = -1 - 7. Let j(z) = -z**3 - 9*z**2 - 7*z + 9. Calculate the remainder when x is divided by j(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6179 to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -307 + 323 - (4 - -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i**3*n - 167832*i**3 + 12014*i**2*n - n wrt n?\nAnswer: 2*i**3 + 12014*i**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -160*m**2*t - 443*m*t wrt m.\nAnswer: -320*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -2*n**6\/15 - n**4\/6 - 3*n - 3. Let r(b) be the first derivative of j(b). What is the third derivative of r(a) wrt a?\nAnswer: -96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - s - s)*(16 - 6 + 4)*((0*s + 2*s + s)*(-1 - 2 + 4) - 3*s + s + 0*s + 3*s - s + 0*s).\nAnswer: 84*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.516 - -0.163. What is n rounded to two dps?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(704) - (sqrt(396) - sqrt(396)*-3)) + -2 + 5.\nAnswer: 3 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 60, 99, 130, 159, 192, 235, 294, 375?\n\"Answer: k**3 - 10*k**2 + 62*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 23.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**6\/(b\/b**16) assuming b is positive.\nAnswer: b**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-3) + 3\/27*177. Let n = 84 - h. Suppose -3*f = -n - 40. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 4*n + 5*x, -178451*x + 178454*x - 12 = -2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*c**3 - 3 - 1729*c**2 - c - c**4 + 1738*c**2 + 4*c + 0*c**3 to the form j*c**4 + s*c**2 + i*c**3 + f + p*c and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65425 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5199011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -9345 minus 1?\nAnswer: -9346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 8*g**2 + g - 5. Let y be m(8). Solve -j = y - 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*z - 134, -3*k + 154 = 2*z - k. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75.2055 or 230?\nAnswer: -75.2055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 462208447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (13 + -12)*(-2 + -3 + 80). Calculate the highest common divisor of 475 and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.15*75\nAnswer: -11.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 446, 1991, 4844, 9233, 15386, 23531?\nAnswer: 33896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26756?\nAnswer: 2, 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000101010100101100 (base 2) to base 14.\nAnswer: -170792","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*b - 6625 = -216*b for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -2*g + 8, -1 = -3*d - 3*g + 4*g for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 6*f**2 + 8*f**2 - f**2 to the form x + p*f + y*f**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1264\/2844 + (1\/18)\/((-5)\/(-50))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -2 + -8 - (-22 + -23 + -4 + 9)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 6*v**3 - 620*v**2 + 6541*v + 415. Determine s(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 6*k - 13)*(-3*k**3 - 2 + 2) - 2*k**2 + 2*k**2 + 3*k**4.\nAnswer: -15*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (351\/2457)\/(88\/42)*(-24)\/(-1)*1?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 87*a**2 + 46*a**2 + 5 + 66*a**2.\nAnswer: 25*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 800 - -2257. What is the highest common factor of h and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*p + 3*h + 111 = -46*p, 5*p - 5*h = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 609911 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**2 + 5*y**2 - 3*y**2 + (-2 + y + 2)*(y - 5*y + 2*y) - 4*y + 0*y + 6*y - 6*y**2.\nAnswer: -5*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -106 - -156. Let d = 70 - w. Suppose 0 = 8*c - 4*c - d. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 188.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/6 (b) -15\/758 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103, 11, 2, 0 in decreasing order.\nAnswer: 11, 2, 0, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(84\/(-63)*4\/((-64)\/6))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -97, -0.2582.\nAnswer: -97, -3\/4, -0.2582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -154 - 157 + 463 - 534*n - 152 - 1943*n**2 wrt n?\nAnswer: -3886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of g**7\/14 - 11*g**6\/10 + 51*g**5\/20 + 11*g**4\/4 - 9*g**3 + 79*g + 4. Find r, given that x(r) = 0.\nAnswer: -1, 0, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 402*a + 1664. Calculate the least common multiple of h(0) and 2496.\nAnswer: 4992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 - -56. Let p = a - 18. Suppose 97129 = -5*c + 3*x + 97323, -3*c = 3*x - 30. What is the remainder when c is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eaheezzaeeeezz. What is prob of picking 2 z, 1 e, and 1 a?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 7*z**2 - 6*z - 3. Let b be w(-7). Let t = b + -26. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -312\/5, 4\/9, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74 + -25. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 5*j**4\/6 + 7*j. Let q(h) = 22*h**2. Calculate f(q(o)).\nAnswer: 4840*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 102, 175, 242, 285, 286?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/17, 4, 2\/5, -17, -2151?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-8) + (-15)\/(-40)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -275*0.51.\nAnswer: -140.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1434)\/1195)\/(-3*2\/(-140))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 + 5*f**3 - 139*f**2 + 139*f**2.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -32. Let g be h + 245\/(-85) + 2. Suppose q - 2 = o, 4 = o + 2*q - 0. What is the third biggest value in -5, g, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 719*v**2 + 5*v + 703*v**2 - 1423*v**2.\nAnswer: -v**2 + 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 7 = -2*f, -3*f + f - 9 = z. Let a be (-1 - -4) + 0 + z. What is the third smallest value in a, 2\/19, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -64 + (-85 - -125) + (1 - -142).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 divided by -35.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 450, 1559, 3726, 7305?\nAnswer: 12650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*i*n**5*t - 222*i*n**4*t - 3*i*n + 16*i*t + 4*n + 2*t wrt n.\nAnswer: -80*i*n**3*t - 2664*i*n**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v. Let c(g) = 3*g**2 + 26634. What is x(c(o))?\nAnswer: 9*o**2 + 79902","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/5 + 34*i**2\/5 + 8*i - 72\/5.\nAnswer: -2*(i - 18)*(i - 1)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (32\/48)\/(6\/81). Which is the second biggest value? (a) -6\/7 (b) -1\/10 (c) n (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4400492 != -22002459\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 87*k + 82*k - 134*k - 280 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2*y**3 + 0*y**3 + y + 1)*(466 - 910 + 466) in the form v*y**3 + i + c*y**2 + t*y and give t.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 8*w**2 + 8*w - 12. Let r be v(-9). Let j = r - -29. List the prime factors of 6896\/208 + (-4)\/j.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 7*u**2 + 5*u - 2. Let z(n) = 15*n**2 + 10*n - 4. Let k(r) = 13*p(r) - 6*z(r). Let x(c) = c**2 + 4*c - 1. Determine -4*k(b) + 5*x(b).\nAnswer: b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 13*a**3\/6 + 39*a**2\/2 - 11*a. Does 12 divide y(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.9 and -233.3.\nAnswer: 909.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 159873 + 5?\nAnswer: 159878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, s: 1, z: 1}. What is prob of sequence sz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -29*u**8\/336 + 7*u**5\/20 + 30*u**2. Find the third derivative of y(w) wrt w.\nAnswer: -1740*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1757 and 3819467.\nAnswer: 26736269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/290490 and 4\/59361?\nAnswer: 13653030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1355?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/(((p\/p**(-1\/4))\/p)\/p)*(p*p*p**(-2\/13))\/p*p**8\/p**25 assuming p is positive.\nAnswer: p**(-697\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 5*q + 4. Let v be p(-5). Suppose v*n + 16 = -2*s, 4*n + 16 = -0*n. Suppose s*c = 4*c - 148. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 0*i**4 + 31\/40*i**6 + 0*i - 169\/60*i**5 + 0 + 0*i**3 - 5*i**2. Find the third derivative of x(r) wrt r.\nAnswer: 558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*(n*n*n**(-5))\/n*n*n)\/n)\/n*n**(-2\/3)\/n*((n**(2\/5)\/n)\/n)**(-19\/5))\/(n**6\/n**(-1))**(1\/43) assuming n is positive.\nAnswer: n**(7258\/3225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 210*q + 39. Suppose 3*o + 4*r - 31 = 0, o - 12 + 3 = -r. What is the hundreds digit of x(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 51, 72, 85, 84, 63?\n\"Answer: -r**3 + 2*r**2 + 22*r + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(-1))**(2\/21)*(i*(i**4*i)\/i)\/(i**(2\/3)\/i))**33)**(-14\/5) assuming i is positive.\nAnswer: i**(-2552\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1230900 rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2103 - -2097. Let x = 5.3 - 5. Which is the biggest value? (a) 2\/13 (b) x (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 5\/6*x**2 + 58 - 1\/3*x**3 + 1\/15*x**5 - 2\/3*x - 1\/12*x**4. Factor a(u).\nAnswer: (u - 1)**3*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 202223054 (base 7) to base 16\nAnswer: b41ee0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51332695 to the power of 1\/2, to the nearest integer?\nAnswer: 7165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75974?\nAnswer: 2, 37987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4054659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-4537.\nAnswer: -9074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*(1 - (-14)\/(-70)). Put 5, 6, f, 27, -2 in decreasing order.\nAnswer: 27, 6, 5, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 6*u - 7. Let g = 3 - 10. Let a be p(g). Suppose j + 2*r - 2 - 17 = a, j = -3*r + 23. What is the remainder when j is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**3 - 7*p + 2. Let m(o) = -9*o**2 - 171*o - 8. Let d be 9 + (-28 + 0)*1. Let i be m(d). Let n(v) = 3*v**3 - 10*v + 3. What is i*a(h) + 5*n(h)?\nAnswer: -h**3 + 6*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2184, -2189, -2196, -2205, -2216?\n\"Answer: -z**2 - 2*z - 2181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h\/(h*h**0))*h*h*h\/(h*h**2))\/(h**(-1\/2)\/h**(2\/13)))**(-7) assuming h is positive.\nAnswer: h**(-483\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7667 + -11054. Let y(r) = -80*r**3 + 2*r**2 - r - 4. Let b be y(-3). Let o = c + b. What is o rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.224242 * 3\nAnswer: -9.672726","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: 2\/(-2)*(-14)\/(84\/90)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/70560 and 37\/180?\nAnswer: 70560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 3*v + 1 = 0, 7 = -3*v + 10*v for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2057) + sqrt(2057) + 3 - (sqrt(2057) + (sqrt(2057)*2)**2)*4) + -5*(((sqrt(2057) + sqrt(2057) + 1)**2 + -1 - sqrt(2057)) + sqrt(2057))*3.\nAnswer: -156329 - 682*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10204 is divided by 162.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**5 + 12*f**4 + 4*f**3 - 12*f**2 - 8*f.\nAnswer: 4*f*(f - 1)*(f + 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 6*z - 2*z + 120 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40.213 + 40.4. Let j = 1.888 + f. Let y = 0.075 - j. Are 13 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -1928*s - 50121. What is g(-26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/324 - (44\/(-18))\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 291 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*i**3\/7 + 93*i**2\/7 + 30*i\/7.\nAnswer: 3*i*(i + 10)*(3*i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (11 + 3) - 16 - 13.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express h**2 - 5*h**4 + 0*h**4 - h**3 - 2*h + 3*h**4 as z*h**4 + d + s*h**2 + c*h**3 + q*h and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3)*d**3)\/(d**(-2\/3))**5)**16 assuming d is positive.\nAnswer: d**(160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w - 6. Let u be i(4). Let k(d) = -8*d**2 - 496*d - 1415. Let z be k(-3). Which is the nearest to z? (a) -1\/5 (b) -0.04 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 133846.9 and 5.\nAnswer: 669234.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2902 + -54?\nAnswer: -2956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/(-3) + (15 - 180\/18 - 12). Suppose -10 = -2*b - 0*b. Solve 4*z - x*a = -z - b, 5*a = -5*z - 45 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 8*y + 52. Let c = -5 + y. What is the second derivative of -c*t**4 + t - 6*t + t**4 wrt t?\nAnswer: -84*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -441 (base 5) to base 16\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*n - 29 - 19 = 0, -2*n = -p + 21. Is 3 a factor of ((-2)\/(-8))\/((-6)\/(-8))*p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*t + 15 - 36 + 189 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 3. Let i(v) = v**3 - 3*v**2 - 16*v - 2. Let q(l) = -l - 1. Let r(w) = -i(w) + 5*q(w). Let x be r(5). Put 0, x, p in descending order.\nAnswer: p, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, l: 1, t: 1, z: 3, q: 1}. What is prob of picking 1 r and 1 t?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ku when two letters picked without replacement from zuutumtkwzuuuukw.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1555248?\nAnswer: 2, 3, 32401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/6, 5, -1\/93 in increasing order.\nAnswer: -7\/6, -1\/93, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382948 is divided by 633.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gtd when three letters picked without replacement from egeduyt?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34866582 divided by -2.\nAnswer: 17433291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 4281*c**2 + 76758*c - 2. Calculate l(18).\nAnswer: 430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 0. Suppose u + 3*v + 20 = 3*u, -6 = 3*v. Suppose 0 = -b - 4*f + 14, -2*b - 2*f = -f - u. What is the remainder when q is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 481*j**4 - 33*j?\nAnswer: 5772*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.47 - 0.469832. Round p to five dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d - 138 = -5*s - 23*d, 5*d + 20 = 0. Solve -c - 28 = -s for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2134.33 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3*z + 76, -4*r = -4*z + 2*z - 84. Let l = z + 41. Let a be (4 + -2)*4\/8. What is the highest common divisor of a and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(192))\/sqrt(8))\/(sqrt(32)\/sqrt(4)*5).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h + 4. Let v(x) be the third derivative of x**4\/6 + 5*x**3\/6 - x**2. Let r(n) = -5*p(n) + 4*v(n). Let g(l) = -2*l + l + 3*l. Calculate r(g(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/9 + 189034*l**2\/3 + 2835460*l\/9.\nAnswer: 2*l*(l + 5)*(l + 283546)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*a + 18*a - 6*a**2)*(-94*a + 32*a - 17*a) to the form q*a**3 + l*a + f + j*a**2 and give q.\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + i - 6. Suppose 0 + 3 = -i*y - 3*c, 2*y = 4*c + 18. Let o be ((-6)\/5)\/(y\/(-15)). Solve 3 = 3*r - o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1332020031 (base 4) in base 16?\nAnswer: 7e20d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -67, -89, -119, -157?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3 = 0, y = 2*y + 2*d + 8. Let w = -2 - y. What is the units digit of ((-2)\/7 - w) + (-1245)\/(-21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) -0.2 (c) 10152\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -p**5\/30 + 23*p**3\/3 - 115*p**2. Let b(j) = 14*j**2 - 10*j**2 - 6*j**2. Determine u(b(m)).\nAnswer: -8*m**4 + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 7:44 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(6)*2) - (6*(sqrt(2) + 0))**2 - (sqrt(250) + 3*(-1*sqrt(250) - sqrt(250)) + sqrt(250))\/sqrt(5).\nAnswer: -72 + 41*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -5164?\nAnswer: 1\/2582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3 = 4*f - 14, 2 = -f - 5*g. Suppose z - 18 = -4*b, 1 = 4*z + f*b - 6. Calculate the common denominator of (-3)\/z - 650\/(-240) and 19\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12468 divided by -1\nAnswer: 12468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 148.48\nAnswer: 890.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2\/2 - 1207795*x - 1458768762025\/2 = 0. What is x?\nAnswer: -1207795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 21 = h + v, 2*v + 12 = 3*h. Suppose -h*l + 640 = -l. Suppose -l*x + 123*x + 1350 = 0. Is 16 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 14 + 7 - 2 - 8 + 8 + 67*k.\nAnswer: 67*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**3 + 63*s**2 - 42*s - 431. Give n(-32).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -870*a - 47 + 47 + (-4 + 1 + 1)*(5*a + 0*a - 4*a) + 3*a - a + a as h + m*a and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*r*t**3 + 97*r*t - 2*t**3 + t**2 wrt t.\nAnswer: -78*r*t - 12*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 543165.\nAnswer: -4, -1, 543165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 9*l - 8. Let a be g(7). Let w be (6\/a + 9)*3\/5. Solve 0 = -2*o - 2*j + w, 4*o - 3*j + 24 = 2*j for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c + 3*z + 4 = -4*c + 2*z + 1, 0 = -2*c - 7*z + 127 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**5\/5 + 128*x**4 - 7062*x**3\/5 - 100664*x**2\/5 - 299936*x\/5 - 206976\/5 = 0.\nAnswer: -4, -1, 21, 308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 5*x + 13. Let s be h(-10). Is 1 + 2 - (s + -5) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481 a factor of 2852330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 23*i**2 + i - 1. Let h be k(-1). Let z = 0 + h. Let u = z - 9. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3337 - -4267. What is the greatest common factor of o and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 3:22 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7984 rounded to the nearest 100?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + -2. Let c be 1225\/10*(1 - 20\/12). Let l = c + 83. What is the closest to l in 1\/3, h, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.34 and -23470337.\nAnswer: -23470336.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*r + 5748 + 7092 = 3321 for r.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/68144 and 93\/136288.\nAnswer: 136288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 920\/69*2670\/712?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -314 and 164621.\nAnswer: 164307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/2 of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 1036?\nAnswer: 9324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 5, 84?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47 by 2677.\nAnswer: -47\/2677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 285 and 345?\nAnswer: 6555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + n + 2. Let d be m(0). Suppose 1 - 51 = -5*i. Solve -d*u - i = -2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in -1\/8, -2\/9, -0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 6497 = -2*p + 2300, 0 = 2*p + 2. Let r = f - 831. Suppose 0*g - 3*g = -30. Solve z + r = g for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 - 45. Let h be m\/(-7)*238\/17. Suppose 0 = -2*w + h + 8. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185253703.\nAnswer: 41, 271, 16673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**3 - 50*o**2 + 80*o = 0 for o.\nAnswer: 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -19\/4 (b) -0.2 (c) 96083 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -z**5\/270 + 539*z**4\/108 - 538*z**3\/27 - 428*z**2 - 9. Factor k(x).\nAnswer: -2*(x - 538)*(x - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16 - 0?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 2*z + 21 = 0, -22*m - 3*z = -25*m - 18 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + -5 - (sqrt(17) + 2 + sqrt(17))*-6)**2.\nAnswer: 266*sqrt(17) + 6186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 i when two letters picked without replacement from {i: 2, w: 1, r: 2, q: 1, a: 1, g: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 4*o. Let z(q) = 2*q**2 + 5*q. Suppose 5*f + 9 = 6*s - 5*s, -5*s = -4*f - 3. Suppose -7 = 4*a + 5. Determine a*r(t) + f*z(t).\nAnswer: -t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n + 1. Let m(f) = -2*f - 16. Let v(r) = -3*l(r) - m(r). Let x be v(-1). Solve -x*j - 5 = -10*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 10041007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 4 (b) 0 (c) -2415 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 173 = -5*l, 3*a - 12 = -3*l + 99. Solve -4*p - r = -6*r + 45, l = -4*p + 3*r for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 8. Suppose -18*j - 881 + 953 = 0. Solve j = p*v - 6*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23019?\nAnswer: 3, 7673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5\/4)\/(w*w**(-2\/5)*w))**(9\/5) assuming w is positive.\nAnswer: w**(-513\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-4)\/(12\/(-15)))\/(252\/(-252))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 16 - (0 - -3)) + 680 + -666?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5166 by -738.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007144585 rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -f**3*j*w - 1978*f**3 - 155*f*w**2 + 140*j*w**2 - 4448*j wrt j.\nAnswer: -f**3*w + 140*w**2 - 4448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4583*u - 179297 = 210258 for u.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -13*n. Let z(c) = 33*c. Determine z(u(d)).\nAnswer: -429*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**2\/11 + 842*h\/11 + 844\/11 = 0.\nAnswer: -1, 422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 4 = r, -3*r - 612 + 624 = -4*p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2956 + 3012. What is the remainder when 238 is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/2252 and 137\/146380?\nAnswer: 146380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0*36\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-700000)\/(-2))\/(3\/78). Round z to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2*d = 2, -h + 3*h + 1 = 3*d. Let l = -19 - -21. Suppose 2*a + 26 = x - 2*a, 0 = 2*x - l*a - 22. Calculate the greatest common factor of h and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**2\/s)\/s)\/s**(-2\/33))\/(s**(-24))**(-35) assuming s is positive.\nAnswer: s**(-27718\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60723\/38 + -1598. Suppose -3*h - 4 + 1 = 0. Is h < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-124)\/3 - (-18)\/(-27). Let g be 2 + -2 + (-1 - z). Let y = 55 - g. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7441 + 7494. Put -8, 3, c, -3 in decreasing order.\nAnswer: c, 3, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 6. Suppose 0 = -7*f + o*f. Which is bigger: f or -3\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 129*k**3 + 2*k**2 - 21 wrt k?\nAnswer: 774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1186592?\nAnswer: 2, 11, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 850757137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 961460.\nAnswer: 2, 5, 48073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 540 divided by 1099310?\nAnswer: 54\/109931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 6*x**2 + 9*x + 3. List the prime factors of b(4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -18*j - 5. Let c(u) be the first derivative of -u**2\/2 - u + 1. Let p(y) = 6*c(y) - i(y). Is p(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1856.375 nanometers?\nAnswer: 0.000000001856375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 640 is divided by 590?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19725162*l**5 + 3878*l + 4336 wrt l.\nAnswer: 394503240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 12 = -0*b + 3*v, 2*v = 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 164*l - 2*l**3 - 10 + 168*l + 4*l**2 + 160*l - 493*l - 3*l**2 - 2*l**4 in the form j*l + r*l**2 + q*l**4 + i*l**3 + c and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1082453?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 359*f**5 + f**4 - 2995*f**3 + 1079939*f**2?\nAnswer: 21540*f**2 + 24*f - 17970","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 - 13*m**2 + 2*m - 344. What is d(10)?\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7*v. Let q(b) be the third derivative of 0*b**4 - 1\/6*b**5 - 4 + 0*b + 0*b**3 + 3*b**2. Determine q(k(f)).\nAnswer: -490*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -h - 9. Let x = 56 + h. Suppose x*l - 4 = -0. Solve -l*b = -4*b + 5*z - 23, -4*z = 2*b - 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -9\/5 (c) -3200\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/(-42)*-15 + 385\/2. Suppose k + 2*q - f = -4*k, -3*k = q - 116. What is the remainder when k is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2. Let c(h) = h**2 - 3*h - 2. Let k(a) = -a**2 + 3*a + 4. Let v be k(3). Let l be c(v). Let x(o) = -2*o**2 - o**l + 4*o**2. Give w(x(r)).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of t**3*u + 246988*t**3 + 9048851*t**2*u**3 - 5*t**2 wrt u?\nAnswer: t**3 + 27146553*t**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 - 40. Let d = 2220.62 - 2202. Let t = d - o. What is t rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 556837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 32*-7.9\nAnswer: -252.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u = 6. Let l be ((-2)\/u)\/(2\/(-24)). Suppose 17 = j - l. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 51812.\nAnswer: 207248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -11. Let o = d - -7. Which is greater: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18.84*0.4263\nAnswer: 8.031492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 5.6. Let q = 11.79 + -12. Let p = -0.71 - q. What is the nearest to 0.1 in -1, a, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 9*y**2 - 9*y - 4. Suppose -4*d - 15 = -9*d - p, -2*p = 0. Let r be 3 + -1 - (0 - -2). Let w be (-6 + 4)*-4 + r\/d. Calculate k(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 276.769 - 277. What is n rounded to 2 decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 8*v - 16. Let d(c) = c**2 - 9*c + 17. Let p(a) = -6*d(a) - 5*u(a). Let m be p(12). Solve n + 5 = m*b, 0*n - 10 = -5*b + 3*n for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3762 and 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.43 + 6.6. Round k to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/24 - (-209)\/84. Let h = 18\/7 - d. What is the second biggest value in 0.1, h, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38376 and 13320?\nAnswer: 7099560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 5*l + 34 = 39, 4*l = 4*w - 8 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6, 7, -2 in ascending order.\nAnswer: -6, -5, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10911291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 10\/51 (b) -173 (c) -1 (d) 0.5 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4278829105.\nAnswer: 5, 855765821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 15) to base 5.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**2\/k**1)**(-2\/9))**25 assuming k is positive.\nAnswer: k**(-50\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 2*u - 4. Suppose -2*h + 10 = -5*n - 16, -3*h + 17 = -2*n. Give b(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/2 (b) -0.13 (c) -32 (d) 4\/21 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of 20*a**2 + 0*a**3 + 0*a**5 + 0*a**4 + 0*a**7 + 1\/2520*a**8 + 0*a + 0 - 1\/900*a**6. Suppose q(k) = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7864232 and 843013?\nAnswer: 2917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1121342, 4485386, 10092134, 17941592, 28033766, 40368662, 54946286?\nAnswer: 71766644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -530, -521, -508, -491, -470, -445, -416?\n\"Answer: 2*a**2 + 3*a - 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of 59*d**8\/112 + 869*d**5\/30 + 1883*d**2. Find the third derivative of q(h) wrt h.\nAnswer: 10620*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 1 = 3*g - g, -4*o + 14 = 2*g. What are the prime factors of g\/(-1) + (1 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1713\/130 - 170\/13. Let k(o) be the second derivative of -3\/5*o**2 - g*o**3 + 10*o + 1\/20*o**4 + 0. Solve k(b) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4497065 or 4497138?\nAnswer: 4497138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -4*r**2\/7 + 343404272*r - 51592841137184368 = 0.\nAnswer: 300478738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1752\/(-296) - (-12 + (-6 - -12))\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -15*z - 14. Let c be v(1). Let x be 2\/(-9) - 461\/(-9). Let p = x + c. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -40, -52, -58, -52, -28, 20?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5*-5*sqrt(24) - sqrt(24)))\/((-1*sqrt(24))\/sqrt(3) + sqrt(8) + (sqrt(8)*2 + sqrt(8))*2).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102232 (base 7) to base 16.\nAnswer: 44ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 685 - 645. Suppose 4*c**f + 5*c + 10228*c**3 - 10236*c**3 - c = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 2 - (-23 + 2). Suppose 20*j - b*j + 156 = 0. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12346, -12294, -12242, -12190, -12138, -12086?\nAnswer: -12034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**2*k**2 - 100*c**2*o**3*v + 6*c**2*o*v - 2*c*k**2*o**2*v - 2*c*k*o*v + 4*c*k + 5*k**2*o**3*v - 3*o**3*v wrt c.\nAnswer: -6*k**2 - 200*o**3*v + 12*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3126912527?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*v - 15 = 5, 5*o = -2*v - 32. Suppose 2*c + 12 = -2*c, 4*a = -2*c + 6. Let p(h) = -a - h - h + h. Calculate p(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.540735 rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 981446 = -5*f, 80*f + 4*s = 78*f + 392594. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 7*w + 4. Let i(l) = l - 1. Let d = 2 - -4. What is d*i(f) + a(f)?\nAnswer: -f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((1526\/1962)\/((-14)\/12))\/(((-32)\/(-1044))\/4)\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(2016)*-2*-2)\/(sqrt(24)\/sqrt(48)*-2) + 0)**2.\nAnswer: 96768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11444 - -13314. What is the least common multiple of 2057 and k?\nAnswer: 20570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**4\/10 + 13*l**3\/15 + 6*l**2 + 4*l + 215. Factor q(v).\nAnswer: -2*(v - 6)*(3*v + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -5, -6, -0.1, -295\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 453951491 to the nearest 1000000.\nAnswer: 454000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/623268 and 109\/39402.\nAnswer: 6855948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.01 (b) 192\/73 (c) 0.2 (d) -1046\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -473*j + 30192 = 74*j + 269*j for j.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16*(-3)\/(-180)*5\/(-6)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(((l*l**(-2\/13))\/l)\/l)*l)\/l**(1\/20)*(l\/(l\/l**(8\/3)))**14 assuming l is positive.\nAnswer: l**(31541\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - p**2 + 17. Let c be u(0). Let t = c - 19. Which is smaller: 2\/11 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + (0 - 8) - 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*l**3 + 29*l**3 + 28*l**3 - 121*l**3 + 31*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6711000 rounded to the nearest 100000?\nAnswer: 6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((((v\/v**(-1\/8))\/v)\/v)\/v))\/v)\/(v\/v**(-6\/11))*((v**(-42)\/v)\/v)**24 assuming v is positive.\nAnswer: v**(-92899\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1)**(-7\/3)\/(w\/(((w*w\/w**0)\/w)\/w))**39 assuming w is positive.\nAnswer: w**(-124\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1034 + -7?\nAnswer: -1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41.31 - 43.3. Let m = -0.39 + 0.4. Let u = m - v. Put 5, 5\/4, u in descending order.\nAnswer: 5, u, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66 + -14 + (-9 - -12 - -7) + 5?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-12)*(-15)\/(-2). Let g(q) = q + 7. Let o be g(i). Suppose -2*l + 1 + 1 = 0. Is o greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, c: 1}. Give prob of picking 3 s and 1 c.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**4 - 5*i**2 - 3*i**4 + 0*i**4)*(-4*i - 10*i - 4*i).\nAnswer: -18*i**5 + 90*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 808*g + 19782 - 20392 - 118*g + g**2 wrt g?\nAnswer: 2*g + 690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 2*a - 1727, 1459 = 4*r + a + 80. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*j + 35*j = -152. Does 60 divide j\/(-190) + (-601)\/(-5) + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 8\/191265249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-15) + 4\/(-12). Let o = 5 - 0. What is the nearest to -1 in o, 0, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -4*h - 3*c, 491*h - 529*h + 296 = -2*c for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/15 - ((-640)\/1120)\/(210\/31262).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 2)*(-147741 + 238852 - 122794 - 2*j) in the form i*j + a and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 28*l**2 - 34*l + 24. Let c be w(30). Calculate the highest common factor of 24 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 140678.9 - 140678.7870194. Let a = 1138.113 - 1138. Let c = a - x. What is c rounded to six dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.9975 and -9614.\nAnswer: -9613.0025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4548 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**2 + 1729894*z + 1729893 = 0.\nAnswer: -1729893, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/sqrt(6) + -5 + sqrt(15)\/(sqrt(5)*-2) - ((sqrt(66) - 1*sqrt(66))\/sqrt(2))\/((sqrt(132)*2)\/sqrt(12)).\nAnswer: -5 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -575785 - -4?\nAnswer: -575781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -4 (b) -9 (c) 21\/11 (d) -0.5 (e) 1\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2330 and 890.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 1067*v. Let i(g) = 3*g + 6. Let l(c) = -34*c - 66. Let t(j) = -22*i(j) - 2*l(j). Give t(u(z)).\nAnswer: 2134*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + r - 16 = 0, 2*f + 14*r = 15*r + 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1097.21503 rounded to the nearest 10?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 7:18 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(768)*4 + -1 + (-1*sqrt(48) + sqrt(48))*-6.\nAnswer: -1 + 192*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 320 and 66?\nAnswer: 21120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60435\/36261)\/(1\/42*5).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4 - 24*p**3 - 6*p**2 + 68*p + 48.\nAnswer: 2*(p - 12)*(p - 2)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 8 + -37 + 8 - -8.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 4*q**2 + 2*q + 2. Let s be y(4). Let r = s + -1. Let g = r - 7. Solve -4*w + 5*t = -13, -3*w - 3*t + 1 = g*t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*w + 3 = 0. Let q(b) be the first derivative of b**3\/3 - 3*b**2\/2 + 3*b - 183. What is q(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/21637 and -39\/168881.\nAnswer: 13003837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -722*j + 790*j = 3740 for j.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 13*h**2 + 66*h + 7. Let r be t(-5). Put -1, -8, -7, r in decreasing order.\nAnswer: r, -1, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 16751*c + 33632*c - 16800*c.\nAnswer: 81*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -1738*g + 1741*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -7*c**2 - c + 7. Let b(o) = o**2 - 1. Let l(d) = 5*b(d) + s(d). Let m be l(-2). Let a(y) = -2*y - 4. Calculate a(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82 - 35 + 10*g**2 - g**3 + 97 - 5*g**2 + 22 to j*g + n*g**2 + x + i*g**3 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4094276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 a factor of 3982598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.13 - -5.13. Let q = -0.372 + 126.372. Let h = q + -124. Sort d, -3, h.\nAnswer: -3, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -8 - 10\/3*c**3 + 1\/4*c**4 - 6*c - 11\/2*c**2. Is y(12) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 4:58 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/((-65)\/(-42)))\/((-143)\/1859)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13.22 - 0.22. Let z = m - 13.1. Which is the biggest value? (a) -1\/5 (b) -0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 4*p**2 + 3*p - 3. Let y(x) = 3*x**3 - 8*x**2 - 7*x + 7. Suppose -i - 23 = 3*f, 5*f - 8*i = -3*i - 5. Give f*y(l) - 14*o(l).\nAnswer: -4*l**3 - 8*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -38*b + 31*b. Let q(f) = f**3 - 10*f**2 + 56*f + 4. What is the units digit of q(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxnnnnxxxnxnnnnnnnn. What is prob of picking 2 x?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 833836793 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-4))**(-21\/4)\/(x**(-21)\/x*x\/(x\/x**6)) assuming x is positive.\nAnswer: x**(127\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-1 + (0 - (1 + 2))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 23*r - 91. What is b(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12710 or 12704?\nAnswer: 12704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00275692 rounded to 5 decimal places?\nAnswer: -0.00276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, j: 1, a: 10}. Give prob of picking 1 p and 1 a.\nAnswer: 15\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(64\/(-40))\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 157.7812 litres in millilitres?\nAnswer: 157781.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - 3 + 3)*(4*i + 32 - 7*i**3 + 3546*i**2 - 3546*i**2).\nAnswer: -14*i**5 + 8*i**3 + 64*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2477.2264 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1044, 1042, 1040, 1038?\nAnswer: 1036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 3*g - 17*i = -22*i + 160, -285 = -5*g - 4*g - 8*i for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -17*l**4\/6 + 16*l**3\/3 - 3*l**2\/2 - 71. Let o(s) be the second derivative of a(s). Differentiate o(g) wrt g.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -5*i - 8. Let x(v) = v**3 + 9*v**2 - 11*v - 11. Let u be x(i). Let w be (-26)\/(-5) - u\/(-5). Solve s - 21 + 6 = w*m, 0 = -2*s - 4*m + 2 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 603 - 692. Round l to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -t**3 - 5*t - 1\/4*t**4 - 5 + 9\/2*t**2. Solve m(r) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {f: 3, t: 4, b: 3, x: 4, z: 2}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x. Let t(n) = -3*n + 4*n + 3*n. Calculate b(t(g)).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2480 + -2477. What is the nearest to 0 in 5\/3, -22, p, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49142 - 33951. What is the highest common factor of 11 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -985871\/9 + 109350. Let b = 191 + q. Let v = -2638 + 2643. What is the third smallest value in v, b, -1\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**2. Let z(x) = 51*x - 13302. Give z(y(l)).\nAnswer: 153*l**2 - 13302","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -10\/2081?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3352825 and 678776.\nAnswer: 2737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/367 + -2926\/1835. Let h = -143428\/7 + 20483. Calculate the common denominator of h and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*r - 35*r = 3*g + 21, 20*g + 110 = -5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 55 = 20*d - 30*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 284284.3 nanometers to centimeters.\nAnswer: 0.02842843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1044 and 90.\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/7 - 85041730*b\/7 + 1808023960348225\/7.\nAnswer: (b - 42520865)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 103 - 57. Let k = d + -45.6. Sort k, -0.4, -2\/3 in ascending order.\nAnswer: -2\/3, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-23)\/g**26)**13 assuming g is positive.\nAnswer: g**(-637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8091*u - 12475 + 12475 - 3754*u - 4340*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/1000 and -25\/2022.\nAnswer: 1011000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71368699.\nAnswer: 1381, 51679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -x + 4*x - 342, 0 = -2*r - 6. Calculate the greatest common divisor of 168 and x.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 5*y - 1. Suppose 3*n + 2*p + 8 = 0, -4*n = -0*n + 2*p + 8. Suppose 0*c + 2*c - 10 = n. Give i(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 10 - 5. Let p(h) be the third derivative of h**5\/15 + h**3\/2 - 3*h**2 - 124. Let b(l) = 5*l**2 + 4. Give v*b(c) + 4*p(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -107 (c) 0.3 (d) 9\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 0*t**6 + 0*t**4 - 1\/105*t**7 + t**2 + 0 + 0*t - 1\/3*t**3 + 0*t**5. Differentiate d(s) with respect to s.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**3\/4 - 275*i**2\/4 + i\/4 + 275\/4 = 0 for i.\nAnswer: -275, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**5\/30 + r**4\/6 - r**3\/3 + r**2\/3 - r\/6 - 8. Factor d(y).\nAnswer: -(y - 1)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19152972*w**2 - 24165799*w wrt w?\nAnswer: -38305944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 1. Let a(u) = u + 3. Let x = 64 - 114. Let h = x + 120. Let s be (-2)\/(-6) - h\/(-6). Determine s*c(p) - 4*a(p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1332705865 divided by 295?\nAnswer: 4517647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/((-4)\/(0 - 2)). Suppose 0*r - 2*r + 4 = 0. Let i = r - o. Solve 0 = i*p - 37 + 12 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of 2\/3*t**3 - 1\/10*t**5 + 0*t**4 + 0 - 1\/2*t**2 - 10*t. Is z(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5250\/(-10))\/7)\/(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 284344, 1137726, 2560020, 4551220, 7111320?\nAnswer: 10240314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llx when three letters picked without replacement from {l: 5, c: 3, x: 5}?\nAnswer: 25\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 13*p**2 + 4*p + 8. Let i(x) = x**3 + 4*x**2 + x - 1. Let w be i(-2). Suppose 0*n - 5*n - 3 = -4*b, 0 = -b - w*n + 32. Is f(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q**2 + 6*q - 6. Let r(t) = t**2 - t + 1. What is -f(z) - 6*r(z)?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 1\/24*y**4 + 3\/2*y**2 + 0*y**3 + 0 + y. Let a(d) be the first derivative of b(d). Let l(z) = -4*z**2. What is a(l(o))?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -34*l + 819. Let o be t(24). Sort o, 5, 15, 18 in descending order.\nAnswer: 18, 15, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 4*n - 177, -29 = -4*n - 9. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 24.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, g: 5, s: 3}. Give prob of picking 1 g and 2 h.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 3*s**2 - 3. Let z(v) = -v - 1. Let b(o) = i(o) - z(o). Let f be b(-2). Suppose f = -h - 2*h + 9. Solve 5*a - 7 - h = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 368, 586, 740, 830?\nAnswer: 856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10843950, -10844016, -10844126, -10844280, -10844478?\nAnswer: -10844720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55)\/((-6930)\/(-144)) + (-138)\/(-84) + 0 + 19?\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/(((-10)\/(-12))\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1156272 rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q + 7*q - 20*q + (2*q + q - q)*(0 + 1 + 0))*(-2 + 2 + 3*q**2).\nAnswer: -15*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 30*h - 2 + 3*h**3 - 28*h + 2 to the form r + y*h + b*h**3 + x*h**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9263?\nAnswer: 59, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(432))**2 + 2).\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -f - 28 + 11, 3*s - 37 = -4*f. Suppose -18 = -s*y + 6*y. What is the greatest common divisor of 9 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 23\/(207\/(-81)) - -626. Calculate the highest common divisor of s and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -10a?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**2 + 709711 - 3318*l**3 - 709711 in the form r*l**3 + c*l**2 + u*l + w and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16 or -1265?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 3:57 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.84724793 rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v - 4. Let l be q(-3). Solve 3*h - 3 = -3*g, 0 = -l*h + 4*g + 4 - 14 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - 18 - (1 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*f + 41 = 17*f + 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - u = -37, -2*u = -4*x + 58 - 22. Let d = 2210 - 1563. Calculate the remainder when d is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 13. What is the smallest common multiple of (5 - 25)*n\/5 and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m**3 - 10*m**2 + 6*m - 9. Let j(y) = -y**3 - y**2 + y - 1. Let x = 38 + -44. Let w(s) = x*j(s) + z(s). Determine w(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21393084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 - 2. Let v(a) = -10*a**2 - 10. Suppose 0 = 2*k + x + 34, -3*k = -6*k - x - 50. Calculate k*q(z) + 3*v(z).\nAnswer: 2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*p**3 - 2*p - 7*p**3 + 4*p + 23*p wrt p.\nAnswer: 42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338947429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -255.89 - -256. Put 0.4, -4, c in increasing order.\nAnswer: -4, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1871 - 1267*b**2 - 937 - 934 to the form g*b**2 + d + f*b and give g.\nAnswer: -1267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/6*(-72)\/27 - -16. Suppose 4*z = 2*b + 3884, s*b - 7*b + 2906 = 3*z. Does 27 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*t + 2490 = 89798. What are the prime factors of t?\nAnswer: 2, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l - 3*l + 4*l + (2*l + 1 - 1)*(-3 + 3 - 1) - l + 0 + 0 - 11*l - 8*l + 24*l to the form q + s*l and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 - 1116 = -17*f. Calculate the highest common divisor of f and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/268363 or 5?\nAnswer: 6\/268363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -2*a + 19, -1147*a + 1168*a - 29 = 3*w + 28 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -71798691.59999756 + 71798697. Let p = -9.7 - -4.3. Let r = p + m. What is r rounded to 7 decimal places?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = c - 318. What is the remainder when c is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -9*a**4\/8 + a**3\/6 + 11*a**2 - 23*a. What is c(-3)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 8. Suppose 2 = q - p*q. Solve -4*m = 16, -3*v - q*m - 16 = -m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47090, 47085, 47076, 47063, 47046?\nAnswer: 47025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 348746414*w**6 + 145062946*w**2 wrt w?\nAnswer: 41849569680*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -44*j**2 - 392*j + 14. Calculate f(-7).\nAnswer: 602","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-6)\/p)*p**(-2))**42 assuming p is positive.\nAnswer: p**252","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xoo when three letters picked without replacement from {o: 2, x: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**3 - 2*s**2 + 7*s - 4. Let d be y(2). Let u = d - -20. Calculate the remainder when 301 is divided by u.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 115445?\nAnswer: -115455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 65685543 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*o = -17*o - 402 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - -0.3. Suppose -6 = 2*q - 2, 2*q = -2*z. Let x(i) = i**2 - i - 1. Let l be x(0). What is the nearest to l in z, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210 + 19*r**3 + 227 - 437.\nAnswer: 19*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 22 = 3*t, -879*n = 2*t - 878*n for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 12:21 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6203875 millimeters in centimeters?\nAnswer: 0.06203875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*454*15\/(-1530) + (-2)\/17?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*1*(-2589)\/(-28479).\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 340 or 107.955?\nAnswer: 107.955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/7, 0.19, 1785, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1034.49 - -1030. Let z = -0.51 + a. What is the biggest value in z, -0.2, -6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of l**2\/2 - 10*l. Let w(s) = -s**3 - 7*s**2 - 9*s - 19. Let o be w(-6). Let f(z) = 4*z**2 + 24. Calculate o*f(t) + 24*d(t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 817?\nAnswer: 5719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, s: 5, k: 3}. Give prob of picking 1 q and 1 k.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 400 divided by -5\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - s + 1. Let l be 534\/(-8) - (-14)\/(-56). Let x = l - -68. Let b(m) = -3*m**2 + 5*m - 8. Give x*b(r) + 5*a(r).\nAnswer: 2*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2.5652*6\nAnswer: -15.3912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4451*t**3 + 189214842 - 189214842.\nAnswer: -4451*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 2:58 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4*(28\/7)\/(-72)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99688?\nAnswer: 2, 17, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*x + 6 - 17*x + 1 - 1.\nAnswer: -113*x + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-6) - (-657)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/6 - 6\/4. Let j = 7 - n. Suppose j*w = 9*w - 88. Does 22 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a8 (base 13) in base 12?\nAnswer: -b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2. Let p be a(-1). Let k be (4\/p - -1)*-1. Suppose -j = 2*j - 6. Is j bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4090*x**4 - 10965*x. Let p(w) = 4088*w**4 - 10966*w. Let a(n) = 7*d(n) - 6*p(n). Find the second derivative of a(u) wrt u.\nAnswer: 49224*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -179103.93 rounded to the nearest 1000?\nAnswer: -179000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvwuvawlwaaewewvwa. Give prob of sequence eav.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*f**2 + 1705*f - 1750.\nAnswer: 5*(f - 1)*(9*f + 350)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 303.2, 2, 0.004, 1\/7?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1944 (base 16) to base 10.\nAnswer: -6468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s + 5*s - 9*s + 6*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106*(-4)\/(-8) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/2 of a centimeter?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 8*m**6\/3 - 64*m**5\/5 + 13*m**4 + 52*m**3\/3 - 32*m**2 + 16*m + 1. Find a, given that u(a) = 0.\nAnswer: -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -7 - 14. Let p be -16 - (-6)\/(q - -4). Let t(v) = -7*v**3 - 19*v**2 - 17*v + 26. Let x be t(p). What is x rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -0.3, -85, -546, 2, -4 in increasing order.\nAnswer: -546, -85, -4, -0.3, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.2 + 3.8. Let r = -1325 + 247777\/187. Let g = r + -571\/935. Sort x, g, -2 in decreasing order.\nAnswer: x, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/17, 18, -5 in descending order.\nAnswer: 18, 3, -2\/17, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2093514?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -1408*g. Let p(i) = 3*i. Determine p(u(t)).\nAnswer: -4224*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - u - 3*u + 1174 = 1145, 60 = -5*j + 3*u for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2104*i - 2108*i = w + 156, 0 = -4*w + i + 22 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9.6 (b) -5 (c) 3\/49 (d) -11 (e) -1\/45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2149 and 4080740398.\nAnswer: 2149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12)\/(-3)*13617\/9.\nAnswer: 2, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 12 = 0, -2*a + 531 - 75 = 3*l. What is the second derivative of -4*c**3 - 217 + 217 + a*c + 26*c**4 wrt c?\nAnswer: 312*c**2 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/959252 and -11\/1370360.\nAnswer: 9592520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 43) + 52 - 0\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - 3\/21)\/((-3)\/28). Suppose l*i + 182 = 41*i. Which is greater: i or -31?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-1*4*(-328)\/(-32) + 3).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -11. Let h = 10.8745 - 11.0745. Which is the closest to -1\/3? (a) z (b) 4 (c) h (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67.6029 - 70.04. Round s to two dps.\nAnswer: -2.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58107 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-72)\/20*(24 + 2\/2). Let x be ((-5)\/((-25)\/8))\/((-12)\/n). Let b = 0 - 0. Solve -4*l + l - x = b for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 32*t**2 - 29*t - 49. Let m be g(31). Is 37 a factor of (m\/117 + (-16)\/(-18))*389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - d + 5*d = 12, 18 = 5*f + 4*d. Let u(v) = -58*v**2 - 51*v**f + 2*v + 3 + 108*v**2. Let l(h) = -1. Calculate -4*l(b) - u(b).\nAnswer: b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v - 53 + 24 + 9*v**2 - 8 + 9*v - 3*v**2. Let l be h(3). Suppose -4*f + 2*f = 4*g - 146, 0 = 5*g + f - 175. Is l smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 172*z**2 - 4.\nAnswer: -172*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 130429807 to the power of 1\/3, to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 122, 246, 370, 494, 618, 742?\n\"Answer: 124*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 235*a + 19. Is f(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 393.5785 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 722.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 68764 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1504595 divided by -565.\nAnswer: 2663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 + 3807*v**2 - 7650*v - 30504.\nAnswer: 3*(v - 4)*(v + 2)*(v + 1271)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18\/83 + -292\/581. Let y = -11 + -7. Let r = y - -25. Is r smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, q: 4, b: 4, l: 3}. What is prob of sequence llbb?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -32*j - 2411. What is the remainder when 77 is divided by h(-77)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -4. Let p be ((-460)\/(-161))\/((-4)\/14). What is the tens digit of -2 - (p + a)*5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3544*o + 34593 = -36437 - 10482 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.426? (a) -5 (b) 0 (c) 77 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51) - (2*sqrt(306))\/sqrt(6))\/sqrt(3) - (1 + sqrt(833) + 5)**2.\nAnswer: -869 - 85*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 60*l)*(-3*l - 3*l + 3*l).\nAnswer: 180*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -2141*y**5\/30 - y**4\/24 - 4351*y**3\/6 - 30*y**2 + y - 2. Differentiate z(p) wrt p.\nAnswer: -8564*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11\/12 + 5\/3. What is the third smallest value in n, -4.9, 3\/8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -1\/84, 1\/3, -2, -0.76 in increasing order.\nAnswer: -2, -0.76, -1\/84, 2\/9, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**5 + 100*g**4 + 634*g**3 + 1400*g**2 + 1032*g = 0. Calculate g.\nAnswer: -43, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h**3 + 30*h**2 - h - 7. Determine b(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*l + 336 = -27*l. Let v be (-116 + l)*(3\/2 - 2). Solve -2*b = -2*j, -4*b + v*j + 30 = 4*j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -4. Let v(y) = -933*y + 13. Let t be v(0). Solve -j = 4*p - 3 + 18, t = 5*j - l*p for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/19488 and -51\/2?\nAnswer: 19488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(297)*1 - sqrt(297) - sqrt(297)) + sqrt(297) + 3*(1*sqrt(297) + sqrt(297)))\/((sqrt(150)*1 + sqrt(6))\/(sqrt(4)\/(1*sqrt(2)) + sqrt(2))).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2641884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 1339?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r + 27 = 46. Suppose 2*f - 5*k = 13, 2*f - 7 + r = -2*k. Solve -2*q - 5 = l, 5*l + 21 = -f*q + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2952086 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, j: 1, n: 1, p: 1, z: 4}. What is prob of sequence jnhp?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29064052 is divided by 610.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 = -v + 2*q + 2*q, 0 = 5*v + 3*q - 811. Does 23 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 z when two letters picked without replacement from zlspz.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 11:01 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-35)*-1*1\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**2 + 0 + 1\/6*d**4 - 1\/20*d**5 + 3*d + 1\/6*d**3. Factor a(w).\nAnswer: -(w - 2)*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124 - 123 - 119 - 25353*v**2 + 366.\nAnswer: -25353*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 22025900 to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 11:38 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/3)\/p)**(-12)*p**(4\/5)*p**13 assuming p is positive.\nAnswer: p**(89\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 442.9 + -408. Let t = r - 35. Does t = 17\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -129918, -129898, -129878?\n\"Answer: 20*x - 129938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 561449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**2 - 4*x**2 + 5*x**2 + 3*x**2 + 1212 - 7*x**2.\nAnswer: 2*x**2 + 1212","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63522 divided by -6.\nAnswer: -10587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10813, -43325, -97513, -173377, -270917, -390133?\n\"Answer: -10838*d**2 + 2*d + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.017 * -0.31\nAnswer: 0.00527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**20\/z*z**(17\/4)*z*(z*z**14*z)\/z**(1\/12) assuming z is positive.\nAnswer: z**(241\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 46163\/84 equal to 551?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 19 = t - 4*x, -2*t + 2*x + 18 = 0. Let v be 2\/(-8) + 82\/8. Let r = t - v. Put 5, r, 1 in descending order.\nAnswer: 5, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 488559814 divided by 1\nAnswer: 488559814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zllz. Give prob of sequence zl.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3*((-1 + sqrt(117) + -3 + sqrt(117) + sqrt(117)*-1 + 5)*6 + (-3*sqrt(117) + 0 - (2*sqrt(117)*-6 + sqrt(117)))))**2.\nAnswer: 5040*sqrt(13) + 206788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2307416360?\nAnswer: 2, 5, 3719, 15511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2870, 2894, 2930, 2978, 3038, 3110?\n\"Answer: 6*u**2 + 6*u + 2858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-15) - (-102)\/(-30) - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 10*h**2 - 15*h - 4. Let r be n(8). Solve r*s + 12 = -8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 771088.\nAnswer: 2, 48193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-116) + (-480)\/(-232). Let x = 1969\/2289 + -1\/327. Solve -6\/7*d**g - 2\/7 + 2\/7*d**3 + x*d = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1385541210.\nAnswer: 2, 3, 5, 97, 193, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -15*j - 1716. Let m = j + 137. Solve -m*l = 5*o - 25, o = 4*l - 0 + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*h*h**(1\/14))*h*h**3*h**(-10)*h**(-2\/25) assuming h is positive.\nAnswer: h**(-2503\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8818833 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -l**5\/120 - 719*l**4\/24 - 516961*l**3\/12 + 2400*l**2. Factor w(q).\nAnswer: -(q + 719)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/272*(-16 + 156\/9)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(38) - 1*sqrt(38)) - sqrt(38) - sqrt(38))\/(2*sqrt(72)).\nAnswer: -sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 113 by 2.\nAnswer: 113\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.32 + 0.69. Let o = h + 0.03. Let f(d) = d**3 - 8*d**2 + 6*d + 8. Let t be f(7). Which is the nearest to 1? (a) t (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o = 1032 - 928 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vva when three letters picked without replacement from {v: 2, a: 1, j: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 5:16 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -156.612 * 46\nAnswer: -7204.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.4, 0.15, -4, 6 in decreasing order.\nAnswer: 6, 0.2, 0.15, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 210997489 to the power of 1\/2, to the nearest integer?\nAnswer: 14526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(3) + 5)*4 + (sqrt(224)*3)\/sqrt(8).\nAnswer: 20 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/12848 and 111\/2464.\nAnswer: 179872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*-10*(2\/19 + (-180)\/(-456)). Put -1, m, 4, -15, -3 in descending order.\nAnswer: 4, -1, -3, m, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16944356 to the nearest 100000.\nAnswer: -16900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -56 (base 7) to base 8\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -w - 14. Is w <= -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-72)*(-190)\/(-855)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35957455, 35957454, 35957453, 35957452, 35957451?\nAnswer: 35957450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1431606581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*j**2 + 3 - 2 - 2 - 87*j**2.\nAnswer: -132*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 204972, 409950, 614928, 819906, 1024884, 1229862?\nAnswer: 1434840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6895481399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - 3. Let m(c) = 5*c**2 - 3*c**3 + 0*c + 0*c - c**2 - 2*c. Let g(h) = -4*h**3 + 5*h**2 - 2*h. Calculate t*m(q) + 4*g(q).\nAnswer: -q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*l + 318 = -39*l - 390 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 14 + (6 - (-2 - -2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 124 + 24 + 12 - z - 32 to b + a*z and give b.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51128*s = 51147*s + 380 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**5 - 34*p**4 + 34*p**4 - 3*p**2 - p**3 + (-p**4 + 0*p**4 - p**4)*(2*p + p - p).\nAnswer: -p**5 - p**3 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o - 16. Determine d(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -147ba59 + -7?\nAnswer: -147ba63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 560165 to the nearest integer?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 z when three letters picked without replacement from {j: 2, z: 6}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -673 + 662 - 542*(-150)\/6024 - (-15)\/(-6).\nAnswer: -1\/251","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-3)*(14 - 5). Put n, 4, 0 in descending order.\nAnswer: 4, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.04 + -0.56. Let d = f + 1.6. What is the third smallest value in 0.1, d, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21 + -1*1 + 0. Let z(g) = -g**2 - 204*g - 2119. Let j be z(-11). What is the greatest common factor of j and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*q**2 + 1035*q**2 + 90*q + 1058*q**2 + 88*q**2.\nAnswer: 2303*q**2 + 90*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4\/5 (b) 13 (c) -0.3 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1937, 3697, 5457, 7217, 8977, 10737?\nAnswer: 12497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 154632 a multiple of 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -34, -93, -206, -391, -666, -1049, -1558?\nAnswer: -2211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 4*q**3\/3 - 193*q. Let s(z) = -32*z. Calculate s(p(m)).\nAnswer: -256*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 126169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -8 - 4*g + 10 - 8 - 2. Let q be 2 + (-7 - -1 - 0). Let a be r(q). Solve 4*u = -a, -3*y + y = u - 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 692*g - 4471 - 2169 = 277*g for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 0.2. Let t be 0 - -2 - -1 - -68. Let p = t - 567\/8. Which is the closest to z? (a) p (b) 1\/10 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 59 in 4\/3, -0.05, 0, -2, -0.4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z - 98 = 44*z - 501 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v + 3*v - 3*v)*(1 + 2*v - 1) + (-v - 30*v - 16*v + (0*v - 3*v + v)*(-2 + 4 - 4))*(-2*v + 0 + 1 + 0*v) to w*v**2 + x + h*v and give h.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31\/2 of a decade?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-54)\/(-5))\/((-44)\/(-770)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38*f**2*n**3*x + 2*f**2*n**2*x**3 + 1328*n**3*x**3 + n**3*x wrt f?\nAnswer: -76*f*n**3*x + 4*f*n**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 4*y + 15, -v = -3*y - 3*v - 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*w**3 + 3081 - 3081 + 2*w - 3*w**4 to the form g*w**3 + k + m*w**2 + r*w + x*w**4 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2\/97 (b) -0.4 (c) 3\/2 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -772120678*s**3 + 1005619009*s**2?\nAnswer: -4632724068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/2)*(d\/(d\/(((d*d**(1\/7)*d)\/d)\/d)))\/d)**(-16)\/(((((d**(-1\/3)\/d)\/d)\/d)\/d)\/(d*d**(1\/2)))**(2\/9) assuming d is positive.\nAnswer: d**(7373\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Expand (8*l + 6*l - 4*l + (-2*l + 0 + 0)*(-1 + 1 + 1) + 0 - 2*l + 0)*(0*l**2 + 2*l**2 + 0*l**2).\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12a95 + -31?\nAnswer: 12a64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 10. Let j be (1 - 2) + (1 - 1). Let w be (0 + -3)*j\/t. Which is the biggest value? (a) w (b) -0.1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54036066.\nAnswer: 2, 3, 7, 103, 12491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.342423l?\nAnswer: 7342.423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 15735 = -4791. Suppose 0*c - y = -8*c. Is c a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q + 23. Let m be c(-10). Solve -m*u - 2*u + 15 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -380 + 944. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 217, 770, 1695, 2992?\n\"Answer: 186*k**2 - 5*k + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -55664*w + 56754*w + w**2 - 2*w**2 as g*w + n + z*w**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*t - 2*k, t = 5*k - 2*k + 4. Let n(z) = -113*z - 24. Is n(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2818446359 > -2818446359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m - 1. Let b be x(6). Let n be ((-50)\/(-4))\/(17\/34). Suppose 2*y - b*w = n, 4*y + 2*w + 0*w = 86. What is the remainder when 77 is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44b80 (base 13) to base 15.\nAnswer: 27080","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + 0*x**2 + 0*x**2)*(0 - 4 + 6) + 0*x**2 + 6*x**2 - 5*x**2 + x**2 - x**2 - x**2 + (1 - x - 1)*(x + 47*x + 15*x).\nAnswer: -61*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -730007 (base 8) to base 11.\nAnswer: -155631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17377 - -17433. Solve -242*v + i = -228*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, j: 1, x: 1, s: 1, y: 1}. What is prob of picking 1 h and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15080 and 345?\nAnswer: 1040520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1820 + 3261 - 1143 + 7762 + 26921 + 4622)*(-3*x**2 + 6*x**2 - x**2).\nAnswer: 86486*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27861068 and 1976.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6085, 12156, 18217, 24268, 30309, 36340, 42361?\nAnswer: 48372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.9 and -2658?\nAnswer: 2659.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -324706?\nAnswer: -324706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 15*q**2 - 55. Let r(h) = -h**2 + 4. Let j(v) = 4*b(v) + 55*r(v). Let t(u) = 74*u - 11*u - 21*u - 13*u - 18*u. Give j(t(z)).\nAnswer: 605*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000256 rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 27*k**2 + 273*k - 6815. Determine a(28).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v**3 - 2*v**3 - 5*v**3)*(2 - 3 + 2).\nAnswer: -13*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1454.34 rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*w**3 - 21*w**2 + 5*w**4 + 24*w**2 + 2909*w - 2912*w to the form q*w + c*w**4 + a*w**2 + l + s*w**3 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -171\/235 + 6\/47. What is the biggest value in -0.163, g, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4762 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: Which is bigger: -9.74762 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -15. What is the remainder when 49 is divided by 3 + 0 + u + 12?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 35 = 41, -f = -g + 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11260 or 11251?\nAnswer: 11260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2828 + 3018 = 19*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 3*o + 0 + (-3 + 1 + 1)*(o + 3*o - 2*o) + (3 - 4 - 1)*(257*o - 520*o + 286*o).\nAnswer: -45*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 962*n - 6688. Let s be j(-7). Let h be (-1 + 7\/3)*-3. Is s >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13140 + -3?\nAnswer: -13143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 10905234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 129*f - 11*f - 17 + 17 as s + g*f and give g.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0\/u)**(-38\/5) assuming u is positive.\nAnswer: u**(38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four fifteenths of a minute?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y - 13333 - 2439 - 3274 - 10962 + 2434 to a + x*y and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*g**2 + 28*g**2 + 34*g**2 + 49*g**2 - 31*g**2.\nAnswer: 111*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*a + 2 = 8, 0 = 4*a + 8. Suppose -6*h + 4 + 50 = s. Suppose 4*n - 3*n - 9 = 0. Calculate the lowest common multiple of n and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*g + 126 + 126 - 64 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q - 2*q + 2*q)*(-6*q + 0*q + q) + 484*q**2 + 26*q**2 + 354*q**2 + 407*q**2 - 172*q**2 in the form f*q**2 + i*q + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 12 = 2*h. Suppose 5*d + h*g - 79 = 0, -3*d = -2*g - 1 - 35. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*k - 42. Let y = k - 21. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1409 take away 0.0898?\nAnswer: 1408.9102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 + 14920*o + 19423600.\nAnswer: -5*(o - 3964)*(o + 980)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/1)\/(-3)*(5 + -8). Sort 0, v, -2, 2 in increasing order.\nAnswer: -2, v, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnsk when four letters picked without replacement from {n: 1, s: 2, k: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 1:16 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 - 39. Suppose p - 2*h = 2027, -x*h = -5*p + h + 10163. Suppose -2*v - p = -3*f, -3*f + 0*v = -3*v - 2037. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6)\/l*l)**(2\/5)\/(l**(-5\/2)*l**6) assuming l is positive.\nAnswer: l**(-59\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 18684204 divided by 283094\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 37526 (b) -2\/5 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.94 - -4. Let o = -0.14 - m. Let u = 851 + -851.6. Sort u, 2, o in ascending order.\nAnswer: u, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -95 by 429.\nAnswer: -95\/429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(-4\/5)*m**(2\/11)*m*(m**0*m)**(2\/15) assuming m is positive.\nAnswer: m**(514\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*n = 51. Let k = 9 - n. Does 3 divide (k + 0)*(-2)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19*r**2 + 475*r - 248*r - 217*r)*(-8*r**2 + 0*r**2 + 2 + 7*r**2) to the form s*r + j*r**4 + p*r**3 + l + z*r**2 and give z.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 1:21 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y + 0*y - y)*(6*y - y - 3*y) - y**2 + 3*y**2 - y**2 + (-12134 + 12134 + 214*y)*(-2*y + 4*y + 0*y) to x*y**2 + i*y + c and give x.\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide (8046\/(-3))\/(-3 - 14\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*z**3 - 10*z**3 - 6*z**3 + 6 - 8*z**3 - 15*z**3 + 3*z**3.\nAnswer: -64*z**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014726 rounded to 4 decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.113733 rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48792)\/(-10165)*30\/16?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 146 - 113. Let k = v + -32. What is the nearest to k in 0.7, -0.1, 1\/3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + h + 35. Let n be p(-5). Suppose n*s = -2*m + 18, -13 = 5*m - 0*s - 2*s. Does 5 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 70605 = -5*a, 24648 + 17698 = 3*a + d. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*c**2 + 12*c**2 + 151*c**3 - 35*c**3 + 8*c**2.\nAnswer: 116*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391*k - 388*k = 3*v + 36, 51*v = 4*k + 187 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t + 13. Determine p(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3348.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 182 and 42.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17360\/24304*(10\/(-15) - 0).\nAnswer: -10\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2002212012111 (base 3) to base 8.\nAnswer: -4211673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1957, 1995, 2033, 2071?\n\"Answer: 38*y + 1919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 357\/105 + (0 - 3)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 6 - 26 = 0, -2*s - 5 = -5*b. Solve -21*y - b = -18*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/(-2)*(-120)\/(-70). Let x(y) be the second derivative of -y - 3\/20*y**5 + 1\/6*y**4 + 0 + 0*y**3 + 0*y**2 - 1\/6*y**s. Let x(h) = 0. What is h?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19913 at least as big as 19913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11*13552.\nAnswer: -1490.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1552568, 1552570, 1552572?\nAnswer: 1552574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 + 10. Let j be (-21)\/p*4\/6. Let v = j - -2. Solve 2*g = -v*c - 2*c - 4, -5*c + 4 = -2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19a9 - 1c?\nAnswer: -19c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, 3, -2.798?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6170 divided by -5?\nAnswer: -1234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-14)*(-5)\/(-15). Let i be (1\/(-2))\/(10\/4). Suppose 2*o = -3*t - 9 + 5, -3*t + 3*o - 9 = 0. Which is the second smallest value? (a) t (b) i (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.0529754 to 2 dps.\nAnswer: -2.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 510 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 8:10 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + (-3*sqrt(320) - sqrt(320)) - 4*(sqrt(5) - -1*sqrt(5)))**2.\nAnswer: 5120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ac3a1 (base 16) in base 12?\nAnswer: -707081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 3*f**4\/8 - 5*f**3\/2 + 3*f**2. Is j(11) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 706 divide 4368132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99600 and 27480?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, r: 9}. Give prob of sequence rm.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*c + 32*c + 22*c + 16*c - 5 - 100*c.\nAnswer: -2*c - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -397 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9 + 7)*153\/(-6). Let l be (2\/6)\/((-17)\/w) + 15. Let v be (2 - 32\/l)\/(10\/(-70)). Solve s - v = 0, 2*t + 5 = s + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*n, -4*s - 5*n - 7 = 18. Suppose 0 = -s*x - 4*x + 20. What is the remainder when 18 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*z, s + 0*s - 7 = 3*z. Which is the nearest to -16? (a) -3\/5 (b) s (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -468238\/55 + 42568\/5. Let -p*u**2 + 4\/11 + 2\/11*u = 0. What is u?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, -2, 0 in decreasing order.\nAnswer: 0, -2, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*s = 117*s - 96 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3196, 3200, 3230, 3298, 3416, 3596?\nAnswer: 3850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 1008 = -189. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*a = 20, 3*a = -g - g + 13. Let x = 0.4 + 1.6. Sort g, x, -2\/5.\nAnswer: -2\/5, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12889 + 12892. Solve -q*m + 4*p - 17 = 0, 5*m - 106*p = -109*p - 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -500.3 - -472. Let a = -5.3 - p. Let i = a + -22.99905. Round i to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5774)\/80836)\/(1\/(-1400))?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1025643, -1025641, -1025639, -1025637, -1025635, -1025633?\nAnswer: -1025631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30*(9 + (-408548)\/12). What is y rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72575 and 5402483.\nAnswer: 2903","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1377) + -1*sqrt(1377) + sqrt(1377)) - (sqrt(1377) + 0 - sqrt(1377))*3)**2.\nAnswer: 12393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 136433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x + x + 2*x**3 + (-9 - 1 + 0)*(-5 + 2*x + 5)*(-x**2 + 4*x**2 - x**2) + (2 - 2 - x)*(-2 - 2*x**2 + 2) + x**3 - x**3 - x**3 - 3*x**3 + 7*x**3 - x**3.\nAnswer: -34*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 57468584 divided by -2\nAnswer: -28734292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*((-75)\/(-9) + (-6 - 4))*1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11352 and 82962996?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -47422590 take away 90?\nAnswer: -47422680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19*w**4 - 7*w**4 - 21 + 2*w**2 + 7*w**2 - 11*w**2 wrt w?\nAnswer: 48*w**3 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37929?\nAnswer: 3, 47, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/4 + 5\/2)*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**2 + 9*h - 15. What are the prime factors of i(13)?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -5 (b) 29 (c) 0.2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3816402 + -10077508. Let q = c - -8546409154\/1365. Let n = q - 2\/273. Is -1 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 - 2372828*g + 4745652.\nAnswer: (g - 2372826)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 9) to base 6\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 12:54 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 338298 - 170174. Let x = q + -381124. What is x rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1576402237.\nAnswer: 251, 6280487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 12\/29, 7\/2, -2155 in ascending order.\nAnswer: -2155, 12\/29, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 1:57 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4372*p - 1449*p - 1442*p - 1467*p + 1 - 4*p**2 to j + k*p + i*p**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3662, 13, -4, 5 in ascending order.\nAnswer: -5, -4, 5, 13, 3662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 6, 3*u - 3*i + 29 = 7*u. Let x be 2 + 5 + 5\/u. Calculate the greatest common factor of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 13*v - 7. Let r be m(1). Suppose -r*q + 2*q = 0. Solve -t + 5 + 0 = q for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4303 + -3307. What is the lowest common multiple of n and 30?\nAnswer: 4980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-6 - (-3115)\/(-7)). Round q to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 9*m - 5*m**2 - 2*m**2 - 9*m. Let u(t) = -t**2 - 20*t. Let f(z) = -2*z**2 - 28*z. Let w(q) = 10*f(q) - 14*u(q). What is w(g(c))?\nAnswer: -294*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 37*o + 2. Let y be p(2). Suppose 3*a - y = -a. What are the prime factors of a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 7*l - 6. Suppose -10 = -x + 3*x. Let t be n(x). Let q be ((-34)\/(8432\/(-279)))\/((-3)\/(-32)). Solve 4*b = -t + q for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o - 78. Give c(-20).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98, -392, -880, -1562, -2438?\nAnswer: -3508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*-2*-2)\/(sqrt(50)\/(sqrt(10)*2)).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -4*x**2\/3 - 349448*x\/9 - 232960\/9 = 0.\nAnswer: -29120, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.17046ug in milligrams?\nAnswer: 0.06117046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 1040 = 565. Let z = -103 + r. Solve 2*p = -2*g + p + 1, 0 = g - z*p + 22 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -59051 (b) 5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/10*(-902)\/(-396)*-30?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/179 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (9796\/528984)\/((-2)\/4644)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 653660 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 401\/7 + -57. Suppose -727*x + 735*x - 2640 = 0. Suppose 9*p - x = -57*p. What is the nearest to -9 in p, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**3 + 383*l**2 + 189*l + 604. Calculate f(192).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1109 + 1998. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**4\/12 + u**3\/2 - 394*u. Give r(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from iiiiioioii.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32526 and 234.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3785 = 3*g + 587. Suppose -2*w - 2*w + g = -3*b, -5*b - 794 = -3*w. Suppose 4*r + h = 4*h + w, h = r - 67. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwcllhlchlhwllhllnl. What is prob of sequence cn?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10167, -10214, -10261, -10308, -10355, -10402?\nAnswer: -10449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5082, -5085, -5080, -5061, -5022, -4957, -4860?\nAnswer: -4725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -85547 and -17071?\nAnswer: 1460372837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 74*c - 5. Let n(i) be the first derivative of 25*i**2\/2 - 2*i + 10. Let h(g) = 8*n(g) - 3*p(g). Is h(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -0 - 6. Let o be (-4 + 0)*j\/2. Suppose -3*q + 5*z + 3 = 0, q - 2*z + o*z - 18 = 0. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 0*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31634281799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 10*h + 24*h + 6 - 12.\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 38 (b) 2\/5 (c) 739 (d) 1\/2 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r - 1. Let x(w) = w - 2. Let s(k) = -3*k + 5. Suppose -45 = 17*v - 8*v. Let y(j) = v*x(j) - 2*s(j). What is 2*d(i) - 2*y(i)?\nAnswer: -6*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4107.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1992 + 65663\/33. Calculate the common denominator of w and -4\/15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53 - -96. Suppose 2*z + 2*g + 7 = 21, 4*z - i = -g. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1221*a - 609*a - 604*a - 3552328. Is a 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 {t: 2, x: 11}. Give prob of picking 2 x.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a hour in seconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + 6 + -44 + 33?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*s + 19320 - 14168 = -28*s - 40*s for s.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 4*y**2 + 6*y + 5. Let h be n(-5). Let x(f) = -2*f**2 + 24*f - 18. Let g be x(11). Suppose g*u - 288 = -h*u. Does 20 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/8*-4 + -3)\/2. Suppose 2*w + 3*c + 14 = 0, -2*c - 9 = w - 0*c. Let x be -1*((-22)\/(-18) + w). What is the closest to d in x, -2\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20352463 take away 15?\nAnswer: -20352478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -10*y**3 - 3*y + 2 + 5*y**2 - 4*y**2 - 33*y**3. Let m be a(2). What is the tens digit of (m\/8)\/(0 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 + 2*y**5 - 3*y**5 + 4*y**2 - 3*y**5 - 3*y**2 + 3*y**2 + 268*y**3 + 7*y**5 - 268*y**3 + (-6*y**4 + 4*y**4 + 3*y**4)*(2 - 2 - 2*y).\nAnswer: y**5 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14*n**2*z - 60*n**2 - 6*z**2 wrt z?\nAnswer: -14*n**2 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4697 is divided by 261.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-2020)\/(-12))\/5)\/((-420)\/9). Let i = 1\/35 - q. Factor -l**3 + 0 + 1\/2*l - 1\/4*l**2 + i*l**4.\nAnswer: l*(l - 1)**2*(3*l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 3*u**2 + 1\/70*u**7 + 1\/12*u**6 + 1\/12*u**4 + 3\/20*u**5 + 0 + 0*u**3 + 0*u. Find v, given that o(v) = 0.\nAnswer: -2, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 22537, 45202, 67867, 90532, 113197, 135862?\n\"Answer: 22665*p - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-6) + (-716)\/(-24). Suppose 0 = -107*g + 188*g. Solve 5*j + y - 10 = g for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/18*(-12)\/(-32))\/(7\/49)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.69 and -1.4196571347.\nAnswer: 0.2703428653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -291 - -297 - (14 + -1 + -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 13*t + 14. Give b(-13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*s + 9, -3*j = -s - 116. Let k = -38278 - -38351. Calculate the remainder when k is divided by j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2)*(-16)\/8. Let p(s) = s + 1. Let m(x) = x. Let q(o) = 6*o + 2. Let i(j) = 3*m(j) - q(j). Calculate r*i(u) - 4*p(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j + 2. Let z be a(-3). Let s(f) = -6 + z - 7 + f. Let v = 42 + -36. What is s(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37.26 + 0.74. Let v = p - 38.3. Let h = -4.7 + v. Is -2\/5 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -3 - (-20 - (-28 + 14 + 1)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22382686?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and -90008.\nAnswer: 1170104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3078 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (12\/(-12))\/(646\/647 + -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 times -2.7?\nAnswer: 56.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -163\/2033 - -1394351\/9860050. Let q = 4\/97 - i. Let w = q - -11\/50. Put w, -0.5, 2 in increasing order.\nAnswer: -0.5, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -420*n + 204*n + 744*n as s*n + m and give s.\nAnswer: 528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71724 is divided by 79.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14738932729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -95, -2, 0, 2, 18 in increasing order.\nAnswer: -95, -2, 0, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-808)\/24*((-20)\/80)\/((36\/6)\/72).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 2*n + 12, -4*k + 0*n + n = -4. Let z = -166\/31 + -2033\/124. Calculate the common denominator of z and (-1)\/k + 83\/(-14).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 a, and 1 l when four letters picked without replacement from nlanlalldlkkalalaln.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 4*y**2 - 80*y - 5. Let u be a(-6). What is the highest common factor of 989 and u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4\/7 + 3274*b**3\/7 - 3567552*b**2\/7 + 183975946*b + 6528756785\/7.\nAnswer: -(b - 1093)**3*(b + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 5*m - 15. Let o = m - 5. Let l(h) = h**3 + 2*h**2 - 2*h - 3. Let r be l(o). Is r at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*u + 0*u + 2*u)*(-5*u + 3*u + 0*u) + 3 - 3 - 2*u**2)*(-3*u**2 - 1 + 1) + (-7*u**2 + 7*u**2 - 3*u**4)*(10 - 13 - 23).\nAnswer: 96*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0580806365 to four decimal places.\nAnswer: 0.0581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 799 divide 1116833004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 697 = 2*z, i + z + 4*z = 134. Let f = i - 108. What is the remainder when 60 is divided by f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 + 23*h - 26. Let c be q(-13). Let r be (-4)\/(-2) - (-63)\/9. Suppose -428 = r*u - c*u. Is 18 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 3*w = 1107 - 1103, 27 = 5*x + 4*w + 29 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**4\/(x*x*(x*x**(-13))\/x*x) assuming x is positive.\nAnswer: x**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/167 in 1\/5, 1\/12, -0.5?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -2*q + 32, 4*u = -q + 1094 - 1072 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13137 + -2904. Suppose 4*i - s - 5707 = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.24 and -17059.\nAnswer: -4094.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibuikuuibibikbiiwiu. What is prob of sequence buwu?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.701 + 25005.7\nAnswer: 25007.401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -323320331 + 2?\nAnswer: -323320323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 17*y**2 + 25*y - 132. Give z(16).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 38\/14 + 2\/7. Solve -f - u = 1 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 25 = -2*i, -3*i = i + 3*m + 15. Suppose -6*d + 66 + 192 = i. List the prime factors of d.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -10*v + 1. Let i be o(4). Let a = i - -55. Let z = a - 5. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 6. Let z = 0 - u. Suppose -z*b + 3*n - 412 - 338 = 0, b = 2*n - 250. Round b to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 4:09 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -10. Suppose 2*j - 25 = -l*j. Let h = -2047 + 2043. Sort h, -12, j, 1.\nAnswer: -12, h, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((80\/72)\/((-28)\/(-36)))\/(142\/(-2485)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-50)\/6*9\/3. Let m = q - -42. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/10 of a century?\nAnswer: 1320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2359 = -3*c + k, 3*c - 4*k - 1779 = 0. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2416 != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 7\/8, -0.45, 0.1, 2\/13, -2\/17, -2\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j - 5. What is the smallest common multiple of p(-4) and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -1 + 7. Let t = -62.4 + 280.4. Let m = t + -221. Put -0.3, -0.2, g, m in increasing order.\nAnswer: m, g, -0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 9:21 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 536285.\nAnswer: 5, 283, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 15*q - 4. Calculate p(11).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75 + 79. Let y be 4 - p\/(-4)*-4. Solve w = 3*r - y*r - 6, -5*w = -2*r - 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 5*k - 2. Let m be f(-5). Calculate the remainder when 14 is divided by (22\/(-6) - m)*-3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one twentieth of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9, -23, -69, -165, -329, -579, -933, -1409?\n\"Answer: -3*y**3 + 2*y**2 + y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 + 17317.\nAnswer: 17307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6256701818?\nAnswer: 2, 229, 733, 18637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76076?\nAnswer: 2, 7, 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 3*t = -592. Let x(q) = -3*q**2 - 37*q**3 - 5 + t*q**3 + q - 38*q**3. Determine x(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73.7 - -70. Let i = a - -0.7. Put 3\/5, i, 6 in decreasing order.\nAnswer: 6, 3\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + -2 - -1) + 0 - 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10475 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16306445209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -19*w - 480. Let p(a) = 3*a - 2. Determine o(v) + 6*p(v).\nAnswer: -v - 492","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/25)\/((-280)\/200)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 6*v - 1. Let j(p) = -900*p**3 + 276*p**2 - 24*p - 4. Let h(i) = -j(i) + 4*m(i). What is the third derivative of h(g) wrt g?\nAnswer: 5424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 138*l**3*x**2 - 45765*l**3*x - 2*l**3 - 10*l**2*x**2 - 9*l**2*x + l**2 - 5*l - 2*x**2 + 1 wrt l.\nAnswer: 828*x**2 - 274590*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56 + -54. Solve -r*q - 4 = -2*d, 5*q - 9 = -24 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvh when three letters picked without replacement from {v: 9, h: 9}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62 and 124?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8874 is divided by 1466.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-342)\/228*(-16)\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/191)\/(k**(-1)*k\/(k**(-1\/7)*k)))\/(k**(-41)*k**(-1\/2)\/k**1) assuming k is positive.\nAnswer: k**(115909\/2674)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 5*r + 45, -4*j - 5*r = -3*j - 17. Let w = 8 - j. Which is smaller: w or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 137 = 4*b, 0 = 2*b - 2*n - 53 - 15. Is b less than 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -5 + 5 + 4 + 61 + -196?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of g**5\/20 - g**4\/12 + 2*g**3\/3 - 3*g**2\/2 - g. Let w be z(2). Suppose -2*f - w + 37 = 0. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1300) - (-2 + sqrt(1300))) - (sqrt(208)*2 + 1).\nAnswer: -8*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 559 - -322. List the prime factors of k.\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -205 - 11. Suppose -n*r + 49 = -71. Solve -3*m - 10 = x, -3*m = -m - r*x + 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 0*q - 10, 4*q = -4*g + 32. Suppose g*d = -16595 + 2183. Let s be d\/(-20) + (-1)\/5. Round s to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.15 * 0.0703\nAnswer: 0.080845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence chc when three letters picked without replacement from {h: 4, p: 13, c: 3}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -7*m + 112. Solve 4*z - m = 4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -1\/2*b**2 + 0*b**3 + 0*b**5 + 1\/480*b**6 + 5*b - 1\/96*b**4 + 0. Let x(o) be the first derivative of s(o). Factor x(f).\nAnswer: f*(f - 1)*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**6\/180 - z**3\/2 + 11*z**2. Let j(v) be the first derivative of g(v). Let a(c) = c**2. Give j(a(u)).\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -896 = 52*t - 272 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164987 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 - 140 = -4*j. Let i = -9 + j. Let p(z) = -z**3 - 6*z**2 + 8*z - 1. What is the remainder when p(-8) is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, 8345, 0, -3.\nAnswer: -5, -3, 0, 6, 8345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16507947 to the power of 1\/3, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/6 - (-1765)\/(-10). Let l = -60 - h. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.385 - -4.385. Which is the closest to 2\/19? (a) 1 (b) 3\/5 (c) n (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -9*(-11)\/(891\/36). Let q(c) = 3 + u*c**3 - 6*c**2 - c**2 - 5*c + 7*c**2 - 1. Let h(t) = 2*t**3 - 2*t + 1. Let l = 18 - 27. What is l*h(i) + 4*q(i)?\nAnswer: -2*i**3 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68055?\nAnswer: 3, 5, 13, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1196 and 1012?\nAnswer: 13156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - p + 3 + 4, 2 = -f + 2*p for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/20 + 36\/15. Let s(z) = -1 + 7*z**2 - 4*z**2 + 4*z - 2*z**y. Suppose -3*q = 21, -1218*j = -1223*j + 5*q + 10. Calculate s(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18659 - 26700. Let u = k + 14426. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9309, 9278, 9235, 9174, 9089, 8974, 8823, 8630?\n\"Answer: -w**3 - 24*w + 9334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/36 and -53\/156.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(0 + (-10)\/(-12)). Suppose 3 = -y*t + 15. What is the third derivative of -26*h**3 - 12*h**2 + 3*h**t - 11*h**2 wrt h?\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-90)\/(-40))\/(2\/32). Suppose 10*y - 13*y + m = 0. Calculate the remainder when 33 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3946 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9.35684841 and -0.1047.\nAnswer: -9.46154841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 113 + 100154051?\nAnswer: 100154204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -17. Let w be ((-6)\/(-2))\/(-3) + d\/(-1). Solve -w*m + 3 + 1 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 214? (a) 1.78 (b) 0 (c) -0.3 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen eighths of a day?\nAnswer: 2340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a5 (base 15) in base 3?\nAnswer: 12202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.22, -0.15 in descending order.\nAnswer: -0.15, -0.22, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -76*t**2. Suppose -15 + 3 = -6*j. Let i(c) = 24*c**j + 2*c - 2*c - 26*c**2. What is i(v(x))?\nAnswer: -11552*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 17*h**2 - 12*h - 61. Let x be s(16). Suppose -3*v - 5*y + 173 = 0, 3*v + 6*y - x*y - 177 = 0. List the prime factors of v.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 7*a**2 - 5*a - 11. Suppose 0 = 5*n - 4*k - 48, 2*n - 3*k = n + 14. Calculate i(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2671.95 + 2672.05. Let b = -145\/69 + 10\/23. Sort m, b, -0.4 in decreasing order.\nAnswer: m, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 + 59. Suppose -4*t - m = -k, 4*k + t - 6 = 2. Suppose -k*u = -2*a + 28, 40 = -3*u + 4*a - 2*a. Put -4, u, 5 in decreasing order.\nAnswer: 5, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 6*o**2 + 4*o - 23. Calculate z(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 291959179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 8*v**2 - 12*v - 17. What is the least common multiple of 6 and o(-9)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/441 and -86\/63?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -191 - 4*d - 3*d + 233 + 3*d. Let r be g(8). Solve -4*c = r + 6 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -689276*f**4 - 54*f**2 - 10*f + 40 wrt f.\nAnswer: -16542624*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 4*v + 72. Suppose -v = -j - j. Suppose 2*s - 2*x + 6 = j, 3*s - 2*x = 17. Calculate the highest common factor of 5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 10) to base 8\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 8. Let r = p - 4. What is the units digit of (-10)\/r*(-6)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 324 - 315 = 0. Let v(b) = -b. Let y(p) = 3*p - 1 + p - 6. Let l(h) = w*v(h) - y(h). Differentiate l(o) wrt o.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 903 and 2838.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18d - -1731?\nAnswer: 18be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1363112611 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/14598551 and 16\/1381.\nAnswer: 14598551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-36)*(-24)\/30?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 3*j**5\/35 - 3*j**4\/2 - 3*j**3\/7 + 66*j**2\/7 - 12*j - 2184. Let y(z) = 0. What is z?\nAnswer: -2, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*a**3 - 11621*a + 89*a**3 + 11617*a - 121*a**3.\nAnswer: -167*a**3 - 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10022330 + -1010122?\nAnswer: 3012202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12868 rounded to 3 dps?\nAnswer: -0.129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2964\/(-297) - 1708\/84546?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 535807.2843 + -64.2843. Let g = -535743.0839951 + a. Let h = g - -0.084. Round h to seven dps.\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37343921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 183*w - 4*w - 4*w - 178*w - w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6962 (base 13) in base 11?\nAnswer: 1011a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26577*o**2 - 2040200 - 53157*o**2 + 4040*o + 26578*o**2.\nAnswer: -2*(o - 1010)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.3 + 0.7. Let m = z - 15.8. Which is the second biggest value? (a) -3 (b) m (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(21\/((-21)\/2)). What is the nearest to -0.2 in -4, 0.2, -0.4, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 88 - 151?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 5) to base 2.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/324)\/((69\/18)\/(-23))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/7 - 60464*x\/7 + 913973824\/7.\nAnswer: (x - 30232)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2*f. Suppose 8 + f = l - h, 3*h = 5*l - 30. Suppose -4*g + 10 = -l*g. Solve 0*k - g = y + 3*k, k = 2*y - 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*s - 4*f, 2*s + f + 7 = -2*f. Suppose -s*b - 8 = 2*t + 2*t, 13 = t - 2*b. Let d(g) = -5*g + t*g + 5*g + 7*g. Let r(z) = -2*z. Give r(d(q)).\nAnswer: -20*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 666458 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -754, -854, -1012, -1222, -1478, -1774?\nAnswer: -2104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374529.\nAnswer: 3, 131, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5617 + -5056. Calculate the highest common factor of 17 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 790?\nAnswer: 78c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -25\/2 (b) -3\/13 (c) -14\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 210 - 55. Let i = a + -98. Suppose -5*p + i = -8. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32697665 by -63245.\nAnswer: -517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 5*x**2 - 6*x + 4. Let m be i(-6). Let v = 37 - 45. Let w be 6\/(-4)*v\/102. Sort -1\/5, m, w in ascending order.\nAnswer: -1\/5, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 159908039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**2\/3 - 16*x - 90 = 0. Calculate x.\nAnswer: -15, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -3. Let n be 2*-1 + (-12)\/x. Let z = 5 - 9. Put z, 0.4, n in descending order.\nAnswer: n, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f - 6. Let c be m(9). Suppose 0 = c*v - 142 + 7. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ivvvvvvvvvvvvvvivviv. What is prob of sequence vvvi?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*g + 261 = 446. Let x = 379\/235 + -3\/235. What is the biggest value in g, -3\/8, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 2576?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 112636115 (base 7) to base 8\nAnswer: 32346456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 - (-74 - -32) - 3\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 8805237\nAnswer: -4\/8805237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 657943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96906 is divided by 479?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.137? (a) -60 (b) -0.596 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -41, -93, -151, -215?\n\"Answer: -3*b**2 - 43*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 1, -0.4, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1635105, 6540396, 14715881, 26161560, 40877433, 58863500?\nAnswer: 80119761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6681 is divided by 172?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6\/29 - 27\/290. Which is bigger: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1\/5 - 0) + (-112)\/(-98) and (-2)\/(-9) + 529\/(-180).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 3*d = -12. Let p be (-7 - d)\/((-3)\/5). Let u = 4 - p. Which is smaller: u or -1\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.022 + -3.978. Suppose 83*i - 87*i = 0. What is the nearest to i in -0.5, -1\/3, p?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x**3 - 3*x**2 + 3*x + 1. Let n(h) = 8*h**3 - 5*h**2 + 5*h + 2. Calculate -3*n(y) + 5*r(y).\nAnswer: -4*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2491\/1219 - 1\/23. Suppose -x + 10 = x. Suppose -5*u + 32 = 2*d, -2*d + 5*d - 23 = x*u. Solve -b = -3*l - d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01811, -3, 0.1.\nAnswer: -3, -0.01811, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.446 - 191.446. Let m = 179 + g. Which is smaller: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = v + 2*d - 18, 0 = -d - 1. Suppose -160 = -0*s + v*s. Let f = -18 - s. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -24?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134385 is divided by 43.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 73658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 42.8 * 0.3\nAnswer: 12.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 698 and 176?\nAnswer: 61424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 279d?\nAnswer: -2799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3*p = -113, -90 = -p - 83. Solve -f*t = -114 - 24 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*c = 1298, -119*c = 2*b - 116*c - 2587. Is 108 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 51199*w**4 + 3*w**3 - 2*w**2 + 4*w - 3716028?\nAnswer: 204796*w**3 + 9*w**2 - 4*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -11 + 7 + 10 - (3 - 1). Solve 179*s - 3*y = 177*s + 6, -2 = t*s + y for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 2*v + 2*v + 12 = 0, -3*c + 12 = -4*v for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dudd when four letters picked without replacement from uuududduuuu?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -163 - -159. What is the least common multiple of 11 and 174\/(y*(-1 + (-2)\/(-4)))?\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2217302747 and -2.\nAnswer: -2217302749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 407 - 243. What is the remainder when m is divided by 53?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-87243)\/13422)\/((4\/10)\/((-4)\/(-5)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.105 - -0.055. Let s = 0.15 - g. What is the closest to s in 0.3, 6, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-147)\/(-6))\/((-2576)\/1104)*-22*1\/3\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 389952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 419904 and 4248?\nAnswer: 24774336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.14 - 0.24. Which is the third smallest value? (a) -0.03 (b) f (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5530537 is divided by 1843502.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200326.7 years to millennia.\nAnswer: 200.3267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -295*l**2. Let w(i) = i - 12. Let a(t) = 3*t - 32. Let z(x) = 3*a(x) - 8*w(x). What is p(z(b))?\nAnswer: -295*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -39012 (base 12) in base 10?\nAnswer: -77774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 7509.\nAnswer: 7508.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2 = 3*i, 0 = -i - 17*r + 14*r - 14. Suppose 9 = -4*p + 45. Let y = 1571\/11 + -143. Which is the nearest to 2\/7? (a) i (b) p (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 16*g = -76. Suppose k - 340 = -g*j + 4*k, -2*j = -k - 170. Calculate the greatest common divisor of j and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16364765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*c + 136 = 0, 259 = -2*x + 2*c - 37. Let a = x - -148. What is the highest common factor of a and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 547 is divided by ((-1025)\/(-2460))\/(5\/4) + 5\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llyylylllll. What is prob of picking 2 y and 2 l?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -1\/75 (c) 55798\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -0.3. Let h = 0.002 + 4.998. What is the smallest value in -0.1, h, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15138, 29340, 43566, 57822, 72114?\nAnswer: 86448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 - 6145*d**2 + 41 + 37677*d**2.\nAnswer: 31532*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29\/35 + -8\/35. Which is the fourth smallest value? (a) -5 (b) -0.04 (c) n (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 38. Solve -3*q + 2*f + 3*f = p, 3*q - 4*f = -15 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 1464779.96.\nAnswer: 146477.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i + 12. Let v be h(0). Let n be 18\/4*6\/9. Suppose -n*k = -k - v. What is the smallest common multiple of 8 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**3 + 6*v**2 + 9. Let q(z) = -3*z**3 + 12*z**2 + 17. Let h(i) = -3*q(i) + 5*y(i). Let o(w) = -5*w + 14. Let f be o(4). Calculate h(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 9*l**2 - 2*l - 12. Let w be f(-9). Let p(x) = -x**3 - 2*x**2 + 5*x - 1. Let z(m) = -m**3 - 2*m**2 + 6*m - 1. Give w*p(y) - 5*z(y).\nAnswer: -y**3 - 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2364909, -2364821, -2364657, -2364405, -2364053, -2363589?\nAnswer: -2363001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 588 and 30274356.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/5902490 and 1\/33?\nAnswer: 17707470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6*n**5 + 12*n**2 - 10*n - 10. Let s(k) = -2*k**5 - 4*k**2 + 3*k + 3. Let v(q) = 20*s(q) + 6*w(q). What is the third derivative of v(m) wrt m?\nAnswer: -240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**3 + 20 - 7 - 13.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1763178388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 4*q = 2*h + 24, 0 = -4*q + 16. Let s(t) = -t**2 - 6*t - 4. Let g be s(h). Suppose -y - g*y + 145 = 0. Does 16 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + 96565?\nAnswer: 9655b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 195174607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y + 22. Let j(g) = -3*g - 21. Determine -6*j(f) - 5*l(f).\nAnswer: -2*f + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 54, 59, 66, 75?\n\"Answer: f**2 + 2*f + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -122*z**4 + z - 22?\nAnswer: -1464*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eheeeheh. Give prob of picking 2 h.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2 + 2*m**2 + 2. Let h(y) = -6*y. Let a(x) = -12*x. Let p(o) = -3*a(o) + 7*h(o). What is p(f(v))?\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7913, -1, 5, 1 in decreasing order.\nAnswer: 5, 1, -1, -7913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1626489833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 350021095 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -17. Let x(d) = -5*d**2 - d - 1. Determine x(y).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -1. Let n(j) = -j**2 + 5. Suppose 4*y = -237 + 61. Let z = -30 - y. Let f = -13 + z. Calculate f*n(h) + 4*d(h).\nAnswer: -h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2*c + 2)*(c**2 - c**2 - 2*c**2) + 16*c**3 - 5625 + 5625 as g*c + p + w*c**2 + f*c**3 and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**3 + 4*z**2 - 3*z + 5. Let m be (-12)\/8*16*-1. Let t = -29 + m. Let i(a) = a**3 + 2*a**2 - a + 2. Let h(y) = t*i(y) + 2*u(y). Solve h(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1101101 (base 2) to base 9\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/(-2))\/((-2)\/(-12)). Let t = 5 + -43. Let u = 7 - t. What is the greatest common divisor of u and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4 + 12*a**3 + 6*a**2 - 12*a - 9.\nAnswer: 3*(a - 1)*(a + 1)**2*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*m**2 + 14881301*m + 38897410 wrt m?\nAnswer: -30*m + 14881301","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -3*m - 5, 4*m = 6*b - 10*b + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20b4 - -101220?\nAnswer: 103314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 1.0753129?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -217\/3 + 71. Let u = 60885 - 60873. What is the closest to 1 in f, -2, u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13908\/610*5\/2.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 104860\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1433230741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1*12\/(-4))\/(27\/90)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.13307 * 0.42\nAnswer: -0.0558894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i**(-2\/19))\/i*i*i)\/i**(2\/3))\/(i**(-2))**(-1\/12))\/((i*i**5)**(19\/3))**(-2\/7) assuming i is positive.\nAnswer: i**(9511\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 0.04, 89?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, z: 2, n: 3, e: 1, h: 1, a: 1}. Give prob of picking 2 g and 1 a.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -53*h + 450*h + 249*h - 104*h + 62330 for h.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 8 = -3*n - 11*c, -87 = 3*n + 6*c - 105 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11366862 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 494 (b) -4 (c) 1\/6 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 1. Let d be (8\/2)\/(t + 0). Suppose -f = d*f - 10. Solve -3*j + 6 = 5*s, -f*j = 3*s - 0*s - 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 413328 and 3336.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 4, -7018 in ascending order.\nAnswer: -7018, 4, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -194de45 + -4?\nAnswer: -194de49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 2*y = 688. Let q be 3*y\/6 + (-8)\/2. Suppose 0 = 3*b - 2*c + c - 123, -4*b = 2*c - 154. Do q and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 48911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4 = -3*f. Let a = f + 9. Suppose a*t = 9 + 6. Which is bigger: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -10 - (-67 - -57)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -u + 2, 2 = -u + m + 4. Suppose -8 = l - 3*l - 2*c, 0 = -u*c + 4. Let n(d) = d - 9. Let s(q) = -q + 5. Let j(t) = 6*n(t) + 11*s(t). Calculate j(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.275488588 rounded to 5 dps?\nAnswer: -0.27549","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/((-2)\/((-2)\/(-2))))\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3210617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 31*j**2 - 52*j - 13. Let a(o) = 8*o**2 - 13*o - 3. Let b = 189 + -167. Let z(g) = b*a(g) - 6*k(g). Factor z(y).\nAnswer: -2*(y - 3)*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i = -0*i + 15*i + 175 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k. Let o(g) = 4*g - 13. Let q(d) = 20*d - 64. Let c(l) = -11*o(l) + 2*q(l). Calculate r(c(p)).\nAnswer: -4*p + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-8))\/(5\/60) - -1. Suppose 5*k + 6 = -h*q, 3*k - 5 = 4*q - 15. Sort 0, q, -2, -5 in ascending order.\nAnswer: -5, -2, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 35*g**2 - 35*g + 32. Let h be b(-36). Sort -3, -8, -5, h in ascending order.\nAnswer: -8, -5, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**6)\/x*x**(2\/9)\/x*(x\/(x**(-4\/5)*x))\/x**(-1\/4))**(6\/19) assuming x is positive.\nAnswer: x**(-1031\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 22. Let q = 9 + t. Which is the closest to q? (a) 5 (b) -3\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114330012 (base 5) to base 7\nAnswer: 4416440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-183)\/(-30) - (30 - 24))\/(2\/(-5)). Let m = -0.3 + 0.1. Put -5, y, -10, m in increasing order.\nAnswer: -10, -5, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 8*t + 118. Calculate the remainder when 147 is divided by u(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -8 - 4*k + 5*k + 9*k. Let u(y) = -7*y + 5. Let s(n) = 5*p(n) + 8*u(n). Let l(g) = 2*g**2 - 10*g**2 + 14*g**2 - 2*g**2 - 3*g**2. Determine l(s(f)).\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, k: 1, d: 1, f: 4, q: 5}. What is prob of sequence dkfw?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -11. Let n = g + -5. Let w = -4.99935 + n. Round w to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20570 and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -88b7730 + -22?\nAnswer: -88b7752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i**3 - 94*i**2 + 56*i - 255. What is p(-32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -146.376 rounded to one dp?\nAnswer: -146.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**5\/60 + 2*b**2 + b + 25. Let s(g) be the second derivative of q(g). Let c(h) = 4*h. Determine c(s(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -7. Suppose 0 = -m + 5*m - 4. Put b, m, 2\/23 in decreasing order.\nAnswer: m, 2\/23, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-2 - (-2 + -11 + 8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -20346, -20350, -20354, -20358?\n\"Answer: -4*d - 20342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 2*m + 6 = -3*m, 0 = -5*k - 5*m - 15 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 27\/4 + 2\/8. Let l(y) = -7 + n + y. Let j(m) be the first derivative of -m**3 - 1. Calculate j(l(g)).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9256 divided by -4.\nAnswer: -2314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*f - 9 - 9. Let z be f + 1 + -4 + (15 - 8). Which is the biggest value? (a) 4\/7 (b) -0.06 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 20.543.\nAnswer: -20.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of t**5\/4 - t**3\/6 + 5*t**2\/2 + 2*t. Suppose 3 = 4*h - 3*h. Let l(r) = 3*r - 2 - 12 - r - 14*r**h. Give 3*l(b) + 8*o(b).\nAnswer: -2*b**3 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 121021100 (base 3) to base 2\nAnswer: 10111001010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -22*k + 14. What is the remainder when 391 is divided by a(-3)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -97*s**4 - 700110*s**3 - 9*s**2 + 1059551?\nAnswer: -2328*s - 4200660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 14*g**2 - 14*g + 14. Let w = -96 + 81. Let a be t(w). Put 9, 4, a in increasing order.\nAnswer: a, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*8*(2 + -1). Let u be ((-2)\/(-8))\/(5\/20). List the prime factors of 2\/u + 0 + v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, 0, 1, -2, -31, -13 in descending order.\nAnswer: 84, 1, 0, -2, -13, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6703 + 6691. Which is the biggest value? (a) r (b) -1\/7 (c) -0.1 (d) -1\/4 (e) 5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 g, and 1 f when three letters picked without replacement from {i: 1, r: 6, v: 6, f: 2, g: 2, t: 1}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298631.\nAnswer: 298631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -113 + 162. Find the second derivative of -6*o**2 - 17*o**2 + g*o + 6*o**2 wrt o.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 - 2)*(3*f - 2*f - 3*f + 1).\nAnswer: 10*f - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 10:08 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -7*h + 3. Let v(w) = 1. Determine -4*v(x) + y(x).\nAnswer: -7*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2 - 1128*o - 159048 = 0. Calculate o.\nAnswer: -282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 7*v + 6. Let z be i(6). Suppose 3*t = -z*t. Suppose -4*p + p + 36 = t. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/(-165))\/(2 + 204\/(-105)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 13 + (92 - 99).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*t - 5056 = -666, -2915 = -2*k - t. Calculate the greatest common factor of 100 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -c + 1 - 20, -u - c - 1 = 0. Solve -4*j = -u*j + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -54320*g**4 + 3*g**3 - 180*g**2 + 272874274?\nAnswer: -217280*g**3 + 9*g**2 - 360*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence js when two letters picked without replacement from jvjjvsjgvg.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((12\/111)\/2)\/3. Let t = 146\/111 + p. Let r be 1\/2*(-4)\/(-7). Sort r, -1, t in decreasing order.\nAnswer: t, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - 4*g**3 - 64*g**2 + g - 4*g.\nAnswer: -4*g**3 - 64*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2642 - 1.5?\nAnswer: 2640.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -12*u**2 - 134*u + 85. Let t(j) = -13*j**2 - 133*j + 68. Determine -4*r(v) + 5*t(v).\nAnswer: -17*v**2 - 129*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 3, -17 in descending order.\nAnswer: 29, 3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2820 and 84?\nAnswer: 19740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 7*b**5\/60 + 2*b**2. Let d(o) = -271 + 74*o**2 - 54*o**2 + 271. Suppose -3*z - 5 = -4*z. Determine z*d(p) - 14*l(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -98*k - 275. Let t(l) = -48*l - 137. Let s(g) = 5*t(g) - 2*u(g). What is the hundreds digit of s(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -39 (b) 2 (c) 8\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.0220444555 rounded to 6 dps?\nAnswer: 0.022044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 v when three letters picked without replacement from stesivp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5958233*i**2 + 26514121 wrt i.\nAnswer: 11916466*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239228 is divided by 14070.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 + -30 + 9)*(-2)\/(-17)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 145*q + 2792 - 2792 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 33*q**5 - 192*q**4 + 261*q**3 - 78*q**2 - 24*q = 0.\nAnswer: -2\/11, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -494*p - 46*p = -10260 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 4695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -14) + -8 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 11:27 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 5:58 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 8*q**2 - 7*q - 4*q**2 + 2*q**2 - 9 - q**3. What are the prime factors of v(-5)?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -691 - 2793 = -4*k. Calculate the highest common factor of 13 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/(-10))\/3 - (-266)\/35. Calculate the greatest common divisor of o and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 13625971.\nAnswer: 68129855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-5\/3))\/u**(6\/7))\/(u**(-2\/9))**(1\/3) assuming u is positive.\nAnswer: u**(-274\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 39 = -2*h - 4*b, 3*h - 3*b - 3 = 0. Suppose 5*v - 91 = h*u, 16*v - 14*v = 2*u + 34. Solve 9*o - v = -o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3805101?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a hour in seconds?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20673622 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (-27)\/21 + (-40)\/(-140))*(-5)\/(-6).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**3 - a**2 + 63*a - 5034. What is b(13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17077 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 13*a + 2. Let v be f(-13). Suppose v = -0*c + c. Let z(k) = 73*k**3 + k**2 + k. Let u be z(c). What is u rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*p = p + 24, 2 = r + 3*p. Calculate the least common multiple of r and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -u - 2*o + 12, u + 4*o = 0. Let t = -286 + 287. Suppose 0 = 2*q + 3*r - 135, 0 = -q - 2*r + 70 - t. What is the remainder when q is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1917637591?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1128*h**5 + 2*h + 746?\nAnswer: -22560*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63222 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 4:48 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 4 + 2)*(2*v - 6*v + 2*v) + 3*v + 0*v - 5*v + 64 - 110*v + 223*v - 111*v)*(-2 + 2 + 2*v) in the form b + c*v**2 + t*v and give t.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*f - 371*f - 2360 = -7504 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2170826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1606, 3217, 4828, 6439?\nAnswer: 8050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120668 = 61*r - 33316. Which is bigger: -1431 or r?\nAnswer: -1431","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 + 71. Suppose 5*z - 20 = 0, -5*m + 40 = u*z + z. Put m, -4, 1 in decreasing order.\nAnswer: m, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 26 = v. Let k(r) = r**2 - 23*r - 21. Let b be k(23). Let j be -10*(-5)\/10 + b. Are v and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, z: 1, k: 4, s: 3, m: 2}. Give prob of sequence kkq.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10 - 5?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 771552 and 78678.\nAnswer: 2538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(5040)*1*-2)\/(sqrt(720) + 2*1*sqrt(720) + sqrt(720) + sqrt(720)) + 2))**2.\nAnswer: -288*sqrt(7)\/5 + 4608\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1093017*b + 2312855*b + 813353*b + 703600*b.\nAnswer: 4922825*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -442815?\nAnswer: -442821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**6\/240 + v**5\/24 - v**4\/12 - v. Let l(d) be the third derivative of o(d). Let z(c) = -c - 2. What is -2*l(r) - 5*z(r)?\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(10\/(-480)*-24) + 69\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (1 + (-2 - 2) + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/54*9\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**3 - 3 + i**5 + 4 + 0 + (2*i**3 + i**3 - i**3)*(5*i**2 - 4*i**2 + i**2) + 2 - 2*i**5 - 2.\nAnswer: 3*i**5 + i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -255367147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27466 minus 102301?\nAnswer: -74835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 26, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7939\/16 less than or equal to 497?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o - 2 + 2. Let i(v) = -5 - 2 + v + 7. Calculate i(w(p)).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 10:26 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48 * 16.\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04 greater than 0.06782?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-100)\/48 + 2)\/(5\/(-725)) and -71\/117.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3307 divided by 1.\nAnswer: 3307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 23 + 81\/(-9) - 1*8. Let j(w) = -2*w + 17 - 2*w - 9*w. Let g(f) = 7*f - 9. Calculate p*j(h) + 11*g(h).\nAnswer: -h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, k: 1, m: 4}. What is prob of picking 3 m?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3260777 to the nearest integer?\nAnswer: 1806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/4, -1, 6\/695, 5, -3?\nAnswer: 6\/695","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -766223 or -766224?\nAnswer: -766223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9199110 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/9552003 and 34\/15?\nAnswer: 47760015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1 + 9 = 3*n, 0 = n + 2*r - 10. Let z be -6*2\/(n - -2). Let g = -0.3 - -0.3. Which is the second biggest value? (a) -2\/13 (b) g (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - -1 - 0 - 3. Suppose -135*o + 215*o - 122*o - 336 = 0. What is the remainder when (-69)\/(o\/h - 3) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-154204)\/(-28) - 6*3\/63 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 125 - 211. Let i = j + 88. Suppose 0 = -3*b + 3*a + 15, 5*b + i*a - 55 = -9. What is the greatest common factor of 24 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7164 is divided by 81?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from {c: 7, l: 9}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/7 (b) 3\/710 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1960 and 33\/182.\nAnswer: 25480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 90*s**2 - 192*s - 537. Is q(72) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8604 = 2227*l - 2215*l. Let p = 14 + -9. Suppose 545 = p*t - 3*m - 360, -m = -4*t + l. List the prime factors of t.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 10360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, a: 2, v: 3, h: 1, c: 5}. What is prob of picking 2 a and 1 q?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 228 and 939417.\nAnswer: 3757668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yys when three letters picked without replacement from vyeyvvyvyysyvyey?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -5, -30, -71, -128, -201, -290?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6765*a - 1199*a - 3559*a.\nAnswer: -11523*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 122850 by -26.\nAnswer: -4725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -28216*j + 9925 wrt j?\nAnswer: -28216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 181 + 34. Suppose 461 = 4*t - l. Suppose -r = r - t. Does 21 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18958, 18957, 18956, 18955?\nAnswer: 18954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32533 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-835)\/(-55) + -6*(-5)\/(-165). Let t(x) = x**3 + 7*x**2 + 6*x - 2. Let y be t(-5). Suppose 90 = y*j - h*j. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 2*p**2 + 3*p - 9. Calculate j(-4).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 1834*b + 1105116. Determine q(-478).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29675834 to the nearest integer?\nAnswer: 5448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -193901.772 rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 94709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 187 in 0.2, 1\/3, 0.29, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9340, 24007, 38674, 53341, 68008?\n\"Answer: 14667*f - 5327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 411085 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0.3. Let l = -323 + 320. Let d = -2.9 - -3. What is the second biggest value in d, l, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5059 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (154\/132 + 3870\/(-3132))\/((-2)\/2)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -100 + 5*z**2 + z**5 + 19*z**4 + 124*z - 92*z**2 + 43*z**3 - 2*z**4 + 156*z - 154*z**2 = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, 0.4, 5, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4 + 370*l**3 - 1522*l**2 - 1890*l.\nAnswer: 2*l*(l - 5)*(l + 1)*(l + 189)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -7*r + 2. Let c(m) = 13*m - 3. Let n(a) = -3*c(a) - 5*w(a). Give n(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 1:49 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**5\/8 - 9229*n**4\/8 - 21921079*n**3\/8 - 2876271975*n**2\/8 - 1405291275*n - 2788698375\/2 = 0 for n.\nAnswer: -4545, -135, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 395 and 553.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 - 10695*s - 3990060.\nAnswer: 5*(s - 2463)*(s + 324)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0, 2\/7, 4 in ascending order.\nAnswer: 0, 2\/7, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1943141238799.75 + -0.2?\nAnswer: -1943141238799.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 0, -4, 4.\nAnswer: -41, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -10.66.\nAnswer: 10.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 580\/(-420) + (-40)\/(-56)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 14, r: 4}. Give prob of picking 3 g and 1 r.\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -1. Let p = 6 - q. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/2)*f\/f**(-3\/5))**(19\/4)*((f*f*f**(1\/10))\/f**(-6))**29 assuming f is positive.\nAnswer: f**(1959\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 48 and -615925?\nAnswer: 615973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -15844b (base 13) to base 10\nAnswer: -532413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4337471?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 281\/169 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by 47.\nAnswer: -22\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and -561332355815?\nAnswer: 561332355813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11076 - 685. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -7. Suppose 4*s = w*s + 196. Let m = s + -47. Round m to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.94 minus -9606.15294?\nAnswer: 9582.21294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tat. Give prob of picking 2 t.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, w: 1, m: 3, z: 1, i: 2}. What is prob of sequence mi?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(((-891)\/6)\/(-9)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d - 12*d + 17*d + 12)*(2*d**3 + d**3 - 4*d**3)*(-1 + 15 + 14).\nAnswer: 56*d**4 - 336*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13023080, 26046176, 39069282, 52092404, 65115548, 78138720, 91161926, 104185172?\nAnswer: 117208464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7345.477cm in meters?\nAnswer: 73.45477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33273 - 166364\/5. Let -g*h**2 - 2\/5 + 3\/5*h = 0. Calculate h.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*j**3 + 2 - 4*j**2 + 2*j**4 - 2*j + 6*j**2 - 64*j**3 in the form s*j**3 + z*j + u + n*j**4 + t*j**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 9*i + 14)*(4*i**2 - 7*i**4 - 4*i**2) + 3*i**5 - 2*i**5 - 2*i**5.\nAnswer: 62*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7165.3 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 301, 290, 247, 154, -7, -254, -605?\n\"Answer: -3*x**3 + 2*x**2 + 4*x + 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 60 = 4*f, -2*u + 5*u - 95 = -f. Suppose -4*t + 8 = -u. Is t\/(3 + 2) + 405 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-194)\/(-8))\/((-1)\/(-16)). Suppose -390*m + 200 = -u*m. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1224 = 402*c - 426*c. Put -2, c, 19 in descending order.\nAnswer: 19, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 399 and 5?\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-6 - (-3 - 3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161068?\nAnswer: 2, 67, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8533 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 40.317964\nAnswer: -12.0953892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -662*o**2 - 660*o**3 + 662*o**2 - 4 + 651*o**3 - 1 + 0 + 4.\nAnswer: -9*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/4 (b) 2 (c) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24003 and 889635.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -352?\nAnswer: 34e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21.041 - 21. Let p = 0.041 - a. Sort 3\/4, p, -5, -0.5 in descending order.\nAnswer: 3\/4, p, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 8:03 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/(43134\/(-301)) + ((-27)\/6)\/(-9)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1264.546 litres?\nAnswer: 1264546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -28*k. Let t be y(-1). Let j = -18 + t. Solve 2*q - j = -3*u + 9, 3*q - u = 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 40 = -10*a, -5*a - 4 = -5*u - 24. Solve 6*i = -2*x + 7*i - 12, u = -5*x + i - 30 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 416 and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.097 + -60.097. Let s = g - -57.3. What is s rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 2*n + 180. Calculate c(-17).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1093, -2018, -3061, -4222, -5501?\n\"Answer: -59*w**2 - 748*w - 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 43*n**2 + 44*n + 115. Let w(c) = 93*c**2 + 92*c + 232. Let i(t) = 13*u(t) - 6*w(t). Determine i(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + l = 11 - 52, -2*v - l = -31. Suppose v*b - 21*b = 0. Suppose -4*s - 3579 = -4*h + 2161, b = -3*s + 12. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41470885 divided by -202297?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 116.55 + 43\nAnswer: 159.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -17, 4, -5, -41, 81, 2 in decreasing order.\nAnswer: 81, 4, 2, 1, -5, -17, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -3, 0.06838, -0.4, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/(u\/(u*u\/(u\/((u\/(u**1*u))\/u)))))\/(u\/(u*u**32\/u))*(u**(-14))**(-2\/9) assuming u is positive.\nAnswer: u**(316\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8174 + 30644. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12111 - -12110.5. Let k = 12 + -18. What is the closest to 0.1 in i, 0.1, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 5*n**2 - 72*n - 11. What is z(16)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/6400 and -161\/240.\nAnswer: 19200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-128)\/216*-45*(-234)\/(-208)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -790?\nAnswer: 2\/395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - -3.8. Let r = 0 - 5. Which is the closest to -2? (a) d (b) r (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + (sqrt(192) - (1*sqrt(192)*-4 - sqrt(192))))**2 + -2.\nAnswer: 9406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 756*q**2 + 861*q**2 + 336*q**2 - 2655*q**2. Let v(g) = 2*g. What is v(t(r))?\nAnswer: -1404*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7604 (b) 3\/2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b - 3. Let a = -23 + 26. Let r(l) = -3 + 1 - l + a - 3. What is 4*r(x) - 3*u(x)?\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 17429457*x**2 + 4756 - 17429456*x**2 + 15296 as g*x + d + p*x**2 and give d.\nAnswer: 20052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 3\/7, 0.2, 0.5, 1\/7 in descending order.\nAnswer: 25, 0.5, 3\/7, 0.2, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.5 + -1.5. Let o be (25\/20*2\/(-5))\/(-3). What is the third biggest value in -9\/5, q, o?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 7557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.079, 65, -2, -3\/2, 5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 14) to base 9.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/5 - l**3 - 4*l**2\/5.\nAnswer: -l**2*(l + 1)*(l + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 880 and 100.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/12*1*-4 + -3. Is 1\/485 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 622, 647, 566, 385, 110, -253, -698?\n\"Answer: u**3 - 59*u**2 + 195*u + 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (247\/38)\/((-2)\/(-28))*(-12)\/(-60)*-5.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 371 - 281. What is the highest common divisor of j and 216?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.89802 tonnes to micrograms.\nAnswer: 3898020000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3178\/9 - 6341\/18. Calculate the common denominator of z and 23\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 93 - 73 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.28594 to three decimal places.\nAnswer: 0.286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*y - y**2 - 2 + 2.\nAnswer: -y**2 - 22*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 364059009802075 - 364059295822551.999929. Let j = q - -286020345. Let v = j + 132. What is v rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of 31*a**3\/6 + a - 130. Let l(v) = -35*v**2. What is n(l(p))?\nAnswer: -1085*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17745 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126606 is divided by 42196.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/7*m**4 - 696\/7*m**2 + 392*m - 2720\/7 - 2\/7*m**3 = 0. What is m?\nAnswer: -20, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11\/(-5))\/(106\/(-1590)). Solve 0 = -35*g + u*g - 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3477672437.\nAnswer: 3477672437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(2\/(-8) - (-308)\/(-16)). Suppose s + 15276 = c*s. List the prime factors of s.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -56, -61, -46, -5, 68, 179, 334?\nAnswer: 539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4029578.\nAnswer: 2, 7, 17, 16931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 7*(-52)\/(-120). Let a(p) be the third derivative of 0*p - 1\/12*p**4 + p**2 + 0 + 0*p**3 - h*p**5. Let a(i) = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {j: 2, z: 6}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.02826 times -0.4\nAnswer: -0.011304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.638 + 1.81. Let h = w - 0.092. What is the nearest to 1 in 2\/9, h, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -6, 205, -4 in decreasing order.\nAnswer: 205, -4, -6, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(168) - 1*(sqrt(168) - 1*sqrt(168))) + sqrt(168))\/(sqrt(12) - ((sqrt(192) - sqrt(12))*-2 - sqrt(12))))\/((-1*sqrt(6300))\/(sqrt(81)*-6)).\nAnswer: 9*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -341\nAnswer: -682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 124.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 149957391 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 187847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.067*-4.\nAnswer: -0.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 74*h**3\/7 + 49918*h**2 + 408973790*h\/7 - 8331271962\/7.\nAnswer: 2*(h + 2371)**2*(37*h - 741)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s. Let m(x) = -156*x**2. Calculate m(p(u)).\nAnswer: -2496*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13215 is divided by 127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 6. Let m(y) = -5. Let z(v) = 3*m(v) + 4*r(v). Differentiate z(q) wrt q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1304 (b) -0.01 (c) 3\/4 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-15))\/(18\/(-24))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*u**3 + 6*u**3 + 11*u**3)*(1 - 4 + 5 + (-3 + 1 + 1)*(2 - 2 - 2) - 4 + 0 + 3).\nAnswer: 114*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, 23\/59, 1, 2\/3, 0.104?\nAnswer: 0.104","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 320 and 192?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 254748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**6\/120 - k**5\/20 - 5*k**3\/3 + 6. Let r(c) be the third derivative of n(c). Find the second derivative of r(o) wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 30 + -10 - (38 - (1 + 5 + -2))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 21. Are 14 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2151*p - 4578*p - 2533*p + 2316*p - 3569*p as f + s*p and give s.\nAnswer: -10515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k + 1. Let z(a) = 3*a. Let h(m) = 2*b(m) + 3*z(m). Let s(v) = -11 - 151*v + 38 + 190*v. Give -27*h(t) + 2*s(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2 - 4*g**2 - 12*g + 2*g - 6*g**2 - g**3 + 3. Does 6 divide c(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2 - 144*j - 605. Let c be w(76). Let f be (8\/(-6) + 2)*6. Suppose 5*v + f + 16 = 0. Put 1, v, c, -1 in increasing order.\nAnswer: v, -1, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 - -82. Suppose k = 5*p - 3. Suppose p*i = 20 + 4. Solve 2*t + 3 = -i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**4 + 16 - 5 - 4*v**2 - 1 + 0 + 2*v in the form j*v**4 + s + t*v + u*v**2 + r*v**3 and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2633 - 34213\/13. Let -14\/13*m**2 + r*m + 2\/13*m**3 + 32\/13 = 0. Calculate m.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63920*-63.\nAnswer: 4026960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 4*d - 2 - 16, -y - 3 = 3*d. Let n(w) = -2*w - 8. Let p(z) = 3*z + 10. Let a be 25\/(-10) - 15\/10. Let u(h) = a*n(h) - 3*p(h). What is u(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, i: 1, t: 2, z: 1, q: 2, m: 1}. What is prob of picking 1 u and 1 m?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**3 + 1103 - 640 - 3*d**3 + 2*d**3 - 463.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 163994 from 5160.\nAnswer: -158834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 5. Let x(n) be the second derivative of n**4\/6 - 5*n**3\/6 + n**2 + n. Let s be x(f). Solve s*u = 3 - 13 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a471 (base 16) in base 4?\nAnswer: -22101301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1898817841 less than 84?\nAnswer: 1898817925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-130)\/65*(-4)\/((-12)\/21)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/57, 1, 679.87?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 228\/418*(-660)\/24\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(130) - ((-1*sqrt(130) - sqrt(130)) + sqrt(130)))*2*3)\/((sqrt(1000) - (sqrt(1000) - 2*sqrt(1000)) - sqrt(1000))*4*-4) + 0.\nAnswer: 9*sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.09 + -0.18. Let j = 4 + -19. Let s = 10 + j. Put 1\/8, f, s in descending order.\nAnswer: 1\/8, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3161129?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**3 + 9*w**2 + 15*w - 25 = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by -7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.8 + -2.79999894. What is n rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(2) + 2*sqrt(2))**2 - sqrt(2)) + 0 + -5*sqrt(4)\/sqrt(2)*5 - ((sqrt(2) - (-2 + 0 + sqrt(2)))*1 - ((-1*sqrt(4)\/sqrt(2))**2 + 4)).\nAnswer: -50 - 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*o - 18. Let k(q) = -3 - 2 - 12*q - 3 + 3. Is k(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -134 + 133.7. Let d(t) = -t**3 + 3*t**2 - t - 1. Let o be d(3). Let r = -56 + 59. Which is the closest to i? (a) 2\/11 (b) r (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 474 a factor of 124284898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oog when three letters picked without replacement from xgoxxpoxpro?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-24) - 14\/(-21). Suppose -1\/4*b**2 + 0 - a*b = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -874, -1822, -2770, -3718?\nAnswer: -4666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddc when three letters picked without replacement from {d: 10, t: 9, c: 1}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 46, 1, -82, -215?\nAnswer: -410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2\/4 - 17*n\/4 + 19\/2 = 0. What is n?\nAnswer: -19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8744168*t*z**3 + 31614685*t*z wrt z.\nAnswer: 52465008*t*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + -1 + 5 + (sqrt(192) - 2*sqrt(192)*1) + -1)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.168, 28.4654, -1\/4?\nAnswer: -0.168","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2643*h - 2733*h + 5356*h.\nAnswer: -20*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + n + 3 = 0, -3*h + 2*n = h - 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8)\/60*-5*36?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - -2. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o - 6 = -18*o. Let k(y) = 50*y - 9. List the prime factors of k(o).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 211*z + 9154. Let q be a(-150). Solve 0 = q*t + 3*m + 29, m + 337 = t + 339 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**5 + 76*m**4 - 22260*m**3 + 63700*m**2 + 34300000*m - 648270000 = 0 for m.\nAnswer: -70, -54, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11, 1\/4, -12\/17, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5058*q**2 - 10115*q**2 + 5058*q**2 + 183 as r + t*q + i*q**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, -118, -172, -230, -292, -358?\nAnswer: -428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55*c**3*p**2*t**3 - 40692*c**3*p**2*t - 114*c**2*p**2*t**3 + 2*c**2*t**3 + 3*c*p*t + 71*p**2*t**3 wrt c?\nAnswer: -330*p**2*t**3 - 244152*p**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 101267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, s: 1, r: 7}. What is prob of picking 2 x and 2 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u. Let c(r) = -269*r**2. What is d(c(h))?\nAnswer: -538*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lul when three letters picked without replacement from uajlujjjtulj?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (35 - 61*c + 59*c - 14)*(0 + 0 - 2)*(0 - 6 + 9) to the form v*c + d and give d.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 632 - 639. Sort m, -2, 11, 1 in decreasing order.\nAnswer: 11, 1, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (-3 - -7 - -26). Let m = q - -44. Calculate the remainder when m is divided by 1 + 1*(-5)\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 5:46 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2)*(-3*i**4 + 2*i**4 + 2*i**4) + 1 - 1 - i**4 + (-6*i**3 + i**3 + 2*i**3)*(6*i + i - 2*i) + 6*i**3 - 4*i**4 - 6*i**3.\nAnswer: -22*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of ((-225)\/(-10))\/((-3)\/(-120) - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**5\/30 - c**4\/12 + c**3\/3 + 2*c**2. Let q be i(-3). Suppose -22*y - 204 = -q*y. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2627 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 4.5?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -188 - -328. Let m be 4\/(-10) + (-284)\/o. Let g = m + 173\/77. What is the smallest value in g, -1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.06 + 0.16. Let l = o + 0.79. Let d = 4.89 - l. Put 3, 0.3, d in descending order.\nAnswer: d, 3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16055 (base 8) in base 12?\nAnswer: 4211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -118\/3 + 40. Suppose 2\/3 + 0*y - z*y**2 = 0. What is y?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 29 = 2*p, -2*u + 39 = p + 1. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*b + 26, -o - 3 = -5*b + 24. Suppose -18*u + 68 - 14 = 0. Differentiate -6*h - u + b*h - 3*h wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -17*y - 62. Determine h(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2411365213 - -2?\nAnswer: 2411365215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179142?\nAnswer: 2, 3, 73, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*y + y + 0*y)*(3 - 1 - 1)*(26 - 6 + 28).\nAnswer: -336*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 3. What is the least common multiple of 11 and 1\/1 - (-4 - f)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/4 - (-222)\/24. Let p = 15 + -15. Suppose 3*z + 5*i = 49, p*z - 4*z + 2*i = -22. Which is smaller: z or t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -0.4, 5, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/23, -2\/11, -4, 0, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1\/3, -111 in descending order.\nAnswer: -0.2, -1\/3, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*c**2*t**2 + 82*c**2*t - 2382*c**2 - 3*c*t**2 + 109403*c - 3*t**2 + t wrt c.\nAnswer: 46*t**2 + 164*t - 4764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-150)\/(-15))\/(-5)*(-2 + 23\/2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*3\/(3 - 24\/9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -15*s**2 - 9*s + 13. Suppose -t = 4*t - 10. Let f(y) = -2 + 5*y - 3 - 2 + 10*y**t - 2*y**2. Determine -11*f(r) - 6*k(r).\nAnswer: 2*r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4 = 16. Let v(u) = 4*u + 15. Let g be v(-3). Which is the second biggest value? (a) -0.3 (b) g (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33.8 - -6.8. Let l = -9 - q. Let s = l - 17.7. What is the third biggest value in 3\/4, s, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 5:26 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -h + 33. Let l be 15\/4*4 - h. Let c = l - 9. What is the lowest common multiple of 20 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/4968*-6*(-3606)\/(-4). Let s = l - -3\/184. Find the common denominator of s and 1\/(-3) - 562\/96.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1848 is divided by 558.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 78233726 minus 0.9762653?\nAnswer: 78233725.0237347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/11))**41*((n*n\/n**9)\/n)**(-4\/11) assuming n is positive.\nAnswer: n**(-9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-1\/3))**(8\/3))**4 assuming u is positive.\nAnswer: u**(128\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.6, 3, -1\/6, -0.06, -2\/13, 5681, 2\/7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a0 - 19?\nAnswer: -b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 415 (base 10) to base 12.\nAnswer: 2a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4207714312 from 1.1.\nAnswer: 4207714313.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tqzzzttt. What is prob of picking 2 t and 1 z?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**4 - 3*f**4 - f**4 + 0*f + 0*f + 2*f**4 + (-3*f**3 + 8*f**3 - f**3)*(-f + 4*f - f).\nAnswer: 9*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d + 5367 = 3*d + 5271 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12002 - 31332?\nAnswer: -14330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 193 - 69. What are the prime factors of c?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/4*56\/252.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*w = 68. What is the remainder when 49 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 4)*(-5 - 2 + 3)*(-2 + 1 + 2)*(-1 - 4*s + 1 + (2 + 0 - 1)*(-s + s + s)) in the form w + m*s and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.2 less than -997?\nAnswer: -1088.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2\/3, -1047\/7 in decreasing order.\nAnswer: -2\/3, -1, -1047\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 125500000 = -t. What is t rounded to the nearest 1000000?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1106 - -1114. Let p(s) be the third derivative of 4\/15*s**5 - 2\/3*s**3 + 1\/15*s**6 - 1\/3*s**4 + 0*s - 2\/35*s**7 + 0 + l*s**2. What is h in p(h) = 0?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -6*t. Let i be ((-2)\/(-3) - 1)*-21. Let s be i*-4*(-4)\/56. Let c(f) = -3*f**s + 2*f**2 - f**2. Determine c(u(p)).\nAnswer: -72*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -134*v**2 + v + 154*v**2 - v in the form y*v + u*v**2 + q and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**8\/672 - 4*g**7\/105 + 11*g**6\/48 - 19*g**5\/60 - 25*g**2 - 11*g. Suppose x(r) = 0. What is r?\nAnswer: -19, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*n = -98*n - 10052. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2005 - 1912 + 5854 - 1937 + 5*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/25476 and -1\/21230.\nAnswer: 127380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -596, -1159, -1664, -2081, -2380, -2531, -2504, -2269?\nAnswer: -1796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (5 - 1) - (-11 + 8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -2*h**6\/15 + h**3 + 6*h**2 - 8. Let t(d) be the second derivative of c(d). What is the first derivative of t(q) wrt q?\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 775015, 775016, 775015, 775012, 775007?\n\"Answer: -f**2 + 4*f + 775012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -22224*x - 200122. Calculate y(-9).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 280828400 divided by -56165680\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -459*m + 87996. What is o(196)?\nAnswer: -1968","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/7*s**2 - 90\/7 - 3\/7*s**3 + 87\/7*s.\nAnswer: -3*(s - 6)*(s - 1)*(s + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 20 + -12 - (-5 - (5 + 116)).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -185, -188, -191, -194?\n\"Answer: -3*i - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g + 4. Suppose 45 = -l + 1. Let w = l + 56. Let q be i(w). What is the highest common factor of q and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 13*z**3 + 21*z**3 + 3*z - 2*z**2 - 3*z + z. List the prime factors of j(1).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 1. Let v(g) = -75*g**3 + 50. Calculate -v(z) + 50*y(z).\nAnswer: 25*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 9*x + 9. Let s be f(-8). Solve 3*v + 5 = -s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*m - 15575*r = -15572*r - 292, -4*m - 58 = -2*r + 2*r - 3*r for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s. Let y be p(7). Solve -5*r - y - 13 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448 = 577*f - 633*f for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-28)\/(-126) - 291\/(-27). Suppose -o = -2, g*h - o = 7*h + 14778. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - (16 - (1 - 1)). Which is smaller: -17 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44544156 by -3.\nAnswer: -14848052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -61550 less than or equal to -61418?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1255512 (base 6) to base 10\nAnswer: -69956","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/6 and 47\/50144.\nAnswer: 150432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a minute in milliseconds?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ayg when three letters picked without replacement from {t: 3, a: 2, g: 1, o: 2, y: 1, m: 3}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -4\/5, 1\/2, -1.84, -0.3, -2\/13?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (1 + 1 - -2) + (13 - 5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (1 - 0) - 21\/(-7). Is 7 a factor of (-3510)\/(-52)*(l - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**3\/6 + 5*h**2\/2 + 4*h. Let z be w(0). Suppose z*q + 10 = 0, -p + 3*q + 80 = -141. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 + (85 - 73)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/(24\/64*-4)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1944 - -11611. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -h - h + 33, -4*x = -h + 24. Let k(g) = 12*g**2 - 2*g + 1. Let o be k(1). Suppose -10*a + 1 = -o*a. Is a at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 157, 320, 751, 1582, 2945, 4972, 7795, 11546?\n\"Answer: 22*s**3 + 2*s**2 + 3*s + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-12)\/(-132) - (-331)\/(-132) and 85\/52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -76? (a) -33\/8 (b) -128\/13 (c) -1\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/19980 and 37\/30.\nAnswer: 19980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001553621 to seven decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 4 (b) 0 (c) 0.3 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3131 - -213021?\nAnswer: 222212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -20 (b) 0.5 (c) -0.08506 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 230 and 19895?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-210))\/((-242)\/193116)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 2*z + 1. Let f be x(4). Let k = f + 12. Let j(i) = i**3 + 6*i**2 - 9*i - 9. Let q be j(-7). Solve d + 3*n = -3 - 1, -q*n - 40 = -k*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07235*1\nAnswer: 0.07235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/5, -342, -4, -1\/2, -3 in decreasing order.\nAnswer: 4, -1\/5, -1\/2, -3, -4, -342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2\/5 + 612219*k\/5 - 612216\/5.\nAnswer: -3*(k - 204072)*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -9*f**3 - 8*f**2 - 6*f - 4. Let u(i) = -17*i**3 - 15*i**2 - 11*i - 7. Give 6*u(k) - 11*v(k).\nAnswer: -3*k**3 - 2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 825726 a multiple of 339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 25 = -5. Let c(z) be the second derivative of -z**5\/20 - 5*z**4\/12 - z**2\/2 - 2*z. Is 21 a factor of c(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72.8 + 2625273951.\nAnswer: 2625273878.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 o when two letters picked without replacement from {e: 1, o: 1, t: 2, m: 2, f: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1471 + 650.3.\nAnswer: 649.1529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*q**5 - 93*q**3 + 1563*q**2 wrt q.\nAnswer: 360*q**2 - 558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*k - 33*k + 52*k = -47*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*b = 194 + 82. Let s(l) be the first derivative of -5\/4*l**b + 4\/3*l**3 + 9 - 3\/5*l**5 + 0*l + 2*l**2. Factor s(x).\nAnswer: -x*(x - 1)*(x + 2)*(3*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 0.4, 2, -5, -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = -13*v - 5000. Let x = -125 - v. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1\/4 (b) 0.1 (c) -19 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2859141 and 375903?\nAnswer: 94351653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from fpfpvhvfhepevept.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*a + 44*a - 35*a)*(20*a + 2*a - 9*a).\nAnswer: 481*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 37a2 (base 15) in base 8?\nAnswer: 27114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 7*g**2 + g - 3. Let r be f(7). Suppose 3 = -w + 3*z + 1, 0 = r*w - 2*z - 32. Calculate the remainder when 38 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1066 + -1125. Is -22 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-102)\/6)\/((-115)\/(-115))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3696, 3631, 3566?\n\"Answer: -65*h + 3761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 47493.93l?\nAnswer: 47493930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18330 and 618.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 9*w = 101, -5*w - 462 + 591 = 21*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 50*w. Let k(j) = 297 - 579 + 282 + 6*j. Let d be 36\/15*35\/14. What is d*q(s) - 51*k(s)?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 41*a**2 + 0*a**4 + 2*a**4 - a + 14*a**3 + 0*a - 13*a**3 in the form x*a + u*a**2 + m + o*a**3 + k*a**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -2633\nAnswer: -15\/2633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-31 + 64 - 32 + 14*c**2)*(3*c - c + 0*c) + (0*c**2 + 0*c**2 - c**2)*(-3*c - 3*c + 4*c) to the form w*c**3 + i*c + o*c**2 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 94 + -84. Suppose -1 - 49 = -d*t. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-1 + -1 + 1). Let b(j) be the first derivative of j**4\/4 + 9*j - 7. What are the prime factors of b(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-18)\/168)\/((-255)\/(-595)))\/(2 + (-10)\/(-12))?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 4*t + 6, 23 + 7 = 5*j + 2*t. What are the prime factors of 56*(j - 256\/56)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1182 is divided by 284?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lfbbbbbblbbfbfb. What is prob of picking 4 b?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1547264177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13676)\/(-2630)*(-10)\/4. Let t(u) = -7*u**3 - 15*u + 13. Let n(w) = -4*w**3 - 7*w + 6. Determine f*n(r) + 6*t(r).\nAnswer: 10*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.1 - -7. Let u = 0.44 + -0.04. Let l = u - -0.1. What is the closest to -0.1 in -1, l, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 88, -2\/5, -1457, -1?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 128*d**4 + 2848*d**3 + 13154*d**2 - 29904*d + 14112 = 0. Calculate d.\nAnswer: -12, 7\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2088*s**2 + 805970*s + 766. What is d(-386)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1398925?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 45 = b, -3*b + 18 = -5*f - 17. What are the prime factors of f\/(-5) - (-15 - 0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -32*l. Let o(n) = 2*n**2 - 332*n + 2. What is a(o(s))?\nAnswer: -64*s**2 + 10624*s - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1300 - 1299.9. What is the smallest value in 0.5, 0.07, o, 3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -0*q + 5*a - 3, -2*q + 12 = -4*a. Let b(r) = 7 - 4*r + 6*r + 0*r. Calculate the remainder when b(q) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -265*h**3 + 19*h**2 + 65*h - 10. Let y(w) = -159*w**3 + 12*w**2 + 40*w - 6. Give 8*l(o) - 13*y(o).\nAnswer: -53*o**3 - 4*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 22*j**2 + j - 1. Let d(m) = -1. Give 3*d(a) + l(a).\nAnswer: 22*a**2 + a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9? (a) -4 (b) 4\/9 (c) 0.1438 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 5:27 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18a + -d73?\nAnswer: -bd8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, c: 2, v: 2, n: 1, u: 1, a: 1}. What is prob of sequence lnc?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 6*u - 36. Suppose -4*r + 6*r = r. Let a be 12\/6 - (r - 142). Calculate the greatest common factor of u and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 333, 331, 319, 291, 241, 163, 51, -101?\n\"Answer: -h**3 + h**2 + 2*h + 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42)\/sqrt(6)*-4 + ((2*sqrt(14))\/sqrt(2) - sqrt(7)))*-2 + -6*(-3 + (sqrt(1008) + 1 - sqrt(1008))) + -1)**2.\nAnswer: 132*sqrt(7) + 373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 223304 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*2\/33*9\/(-14).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -137.\nAnswer: -137, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*r = -123*r - 104. Solve -19*x = -r*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25474+-0.3\nAnswer: 25473.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3318, -3163, -2892, -2499, -1978?\nAnswer: -1323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*i = -4*p + 320, -262 = -4*i - 2*p. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78\/65 - (136568\/32465 - 3)\nAnswer: -1\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-698)\/(-350) + 18\/63. Let d = v + -4309\/300. Calculate the common denominator of d and -71\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*o - 357 - 60*o - 51*o + 155*o.\nAnswer: -3*o - 357","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (1*-2 + 2). Let t = -1 + f. Differentiate -2*o**4 + t + 5*o**4 - o**4 wrt o.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 0. Suppose 7*v - 4 = o + 3*v, -5*o - 4 = -m*v. Suppose -4*y + o*y = 0. Solve t + 4*t - 5 = y, 3 = u + 4*t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 852 is divided by 74.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 - 26\/5 - (-6)\/(-70). Suppose -7 - 9 = -4*i. Which is the closest to f? (a) 1 (b) -1\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f\/f**19*f)\/f)\/f)\/(f**8\/f))\/(f**2)**23 assuming f is positive.\nAnswer: f**(-71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2\/19, -1\/4, 2\/21, 3 in decreasing order.\nAnswer: 3, 0.2, 2\/21, -2\/19, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000321707936 rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 - 75 = -2*h - 2*d, -5*h + 4*d + 31 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 305185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -5*h**3 + 4*h**3 - 6*h**2 - h - 6*h**2 - 8 + h**2. Let l be b(-11). Solve -q - 4 + l = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4 + 2578*f**3 - 20528*f**2 + 40992*f.\nAnswer: -2*f*(f - 1281)*(f - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 20, 2*d - 7 = 3*a - 381. Let v = -127 + a. Does 9 divide 1 - v - -32*6\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2865 or 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89 + -151 + 94 - (-20 + 2).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*c - 5*c = 98, 4*t - 4*c = 128. List the prime factors of t.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -10*z**2 - 1. Let g(f) = 21*f**2 + 36*f + 37. Let i(u) = -g(u) - 2*r(u). Give i(-35).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -11*f. Let q(t) be the second derivative of -t + 0 + 0*t**2 - 1\/6*t**3. What is q(d(m))?\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 17*r - 39. Determine n(-19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 111, -448, -1007?\n\"Answer: -559*g + 670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + -11. Let i be (1 - -1)*(-9)\/6. Let b be 15 - (9\/(-3))\/i. What is the greatest common factor of b and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12 + 3 + -3 + 0. Let s be (-6 + 3)*8\/l. Let t be 2\/5 + (-4)\/10. Which is smaller: t or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = c - 0*c. What is the least common multiple of 18 and -10*(-4 - 0)\/c?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12414 - 12382. Calculate the least common multiple of (64\/20)\/(1\/20) and v.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*d**3*q**2*v**3 + 9*d**3*q + d**3*v**3 + 2*d**2*q*v + 8*d**2*v**3 + 302*d*q**2*v**3 + q*v wrt q?\nAnswer: 24*d**3*v**3 + 604*d*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 5 + -3)*0. Let j be 120\/2*(c - (-1)\/1). What is the greatest common factor of 24 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2630*f - 2629*f - 7 = 0. Let r(g) = -g + 4. Let o be r(0). Suppose -5*j - 4 = q, o*q - 5*j = 11 - 2. What is the least common multiple of f and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 3*c - 2024, -3820 + 1271 = -5*h - c. Let m = -2782 + h. Let i = -1014 - m. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-136)\/102 + 1*2. Which is the nearest to x? (a) 5\/3 (b) 1\/26 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w**2 + 152364*w + 76184 = 0.\nAnswer: -1\/2, 19046","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.6 + -0.4. Let r be (-51)\/(-510)*(-6 - (-56)\/7). Sort m, r, 2 in ascending order.\nAnswer: m, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m - 2*m - 8046788*m**3 + 8045573*m**3.\nAnswer: -1215*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 17. Suppose -5*g + 140 + 10 = 0. Suppose 5*d = -3*o - 10, -d + r = -4*o + g. Solve -2*s = -o*s + 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 16*c = 7385. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-7285.\nAnswer: -14570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*f + 165*f = 304 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*s + 1575 = -11*s. Solve -i = 3*f, -43*i + s*i = -2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 3*x + 5. Let r be d(-5). Let t be -150*6\/(24\/(-10)). Suppose 11*n = 16*n - t. What is the highest common factor of n and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 571 is divided by 5\/(-15)*(-15)\/10*26.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11923 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o - o**3 + 8*o**3 - 9*o**3 - 9*o - 10*o.\nAnswer: -2*o**3 - 23*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*t**4 + 55 - 133 + 83 + (-14*t + t**4 + t + 4*t)*(-6 + 2 + 2).\nAnswer: 14*t**4 + 18*t + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3*((-1)\/(-3) - 3\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 8:17 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -6. Let f = 6496 + -6493.001. Let o = k - f. What is o rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5 + 4*a**4 - 62*a**3 + 156*a**2 - 99*a.\nAnswer: a*(a - 3)**2*(a - 1)*(a + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-1)*f))**(-5\/19))**(-35)*(f*f**(-5))\/f**(1\/2)*f\/f**2*f*f**(-1\/2)*f*f assuming f is positive.\nAnswer: f**(118\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2686 and 1428.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 16*u - 11. Let m be t(15). Suppose 1 = -3*j + 4. What is the closest to 1 in j, m, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 1011211021?\nAnswer: 1011211021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 2, 14, 4, 7, 4716.\nAnswer: -5, 2, 4, 5, 7, 14, 4716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22417 - -1?\nAnswer: 22418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -904581.9 to the nearest one hundred.\nAnswer: -904600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*j = 38*j. Suppose -m = -3*i - 6, j*m + i + 4 = m. Put m, -1, 6 in ascending order.\nAnswer: -1, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -402 or -1210?\nAnswer: -1210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - (8 + -8 + 17 + -11).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 389 - 132. Suppose 3*a + 236 = -y + 638, -2*a + k = -3*y. What are the prime factors of a?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46334 - (1800\/250 + (-1)\/5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -6*r**3 - 1. Let o be w(-1). Find the third derivative of 3*t**o - 8*t**5 - 5*t**2 + 3*t**2 wrt t.\nAnswer: -300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 11*d - 7. Let j be l(1). Suppose 23*u - 55 = 34*u. Sort -3, j, u, -2 in ascending order.\nAnswer: u, -3, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -223 in -0.5, 3, -1, -0.09558?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.6 - 6.6. Let r = 0.4 - -0.6. What is the third smallest value in r, a, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4739?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*d = -82*d - f + 64, -5*d + 40 = 5*f. Solve 25 = d*u - 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0675331*-0.15\nAnswer: 0.010129965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 26301, 26364, 26439, 26532, 26649, 26796, 26979, 27204?\n\"Answer: n**3 + 56*n + 26244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 454713204.\nAnswer: 2, 3, 11, 73, 47189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 182163317 to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48190 divided by 42.\nAnswer: 24095\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 1 - 57\/34*2\/(-3). Is l at most -810\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87572*v**3 - 17996*v**2 wrt v.\nAnswer: 525432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13167, -13161, -13157, -13155, -13155, -13157?\n\"Answer: -u**2 + 9*u - 13175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28703 is divided by 368?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 11612040.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(-150) + 2\/(-30))*-2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*((-2)\/(-2) + 6\/18). Find the third derivative of -9*b**2 + 7*b**5 + 4*b**j - 4*b**4 - 2*b**2 wrt b.\nAnswer: 420*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3230000 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 2. Suppose u = -3*z + z + 110. What is the remainder when z is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -163*b**3 + 18*b**2 + 56*b + 9. Calculate h(-2).\nAnswer: 1273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 56\/44*3 - (-10)\/55. Find the third derivative of k + 448*k**3 + 5*k**2 - s*k**5 - 447*k**3 - 6*k**5 wrt k.\nAnswer: -600*k**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o - 2*o + 4*o)*(-1 + o + 1)*(3*o + 2*o - 3*o) to the form p*o**2 + h*o + n + v*o**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 48 = -4*z, z - 46 = -4*v - 4. Suppose -10 = -2*w - v. Solve w = -h + 4 + 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z = -36*z. Solve 4 = y - z for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4652942 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -34346 + 0.392?\nAnswer: -34345.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00097724242 rounded to 7 dps?\nAnswer: -0.0009772","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12602956?\nAnswer: 2, 43, 47, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**4 - 3*f**2 + 3*f. Let n(d) = 5*d**4 + 2*d**2 - 4*d. Let i(v) = 4*l(v) + 3*n(v). Find the third derivative of i(z) wrt z.\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 9 - 1 = 0. Let c(l) = 2*l**2 - 12*l + 5. Let f be c(7). Let y = 39 - f. What is the highest common factor of q and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8613839 is divided by 182?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 724427 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2011 (base 3) to base 6\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w = -25 - 17. Let o(z) = -7 + 5 + w*z + 1 + 3. Give o(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19234165 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/(-15))\/((-1)\/21). Let a be g\/21 + 8\/3. Put 1, -5, a in increasing order.\nAnswer: -5, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 15\/24*8 - (1 - 80)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from risiiitititiytrr. What is prob of sequence riyr?\nAnswer: 1\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(-52)*(-64)\/88\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/9)\/(740\/111).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 2686632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 67635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -3 + 0 - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 144106025 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6470, 6542, 6662, 6830, 7046, 7310, 7622?\nAnswer: 7982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 42.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, m: 2}. What is prob of picking 2 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h**3 + 2*h**2 - 12 + 14 + 3*h**3 - 7*h**4 + h**3 - 9*h + 13*h in the form a + r*h**2 + w*h**3 + k*h**4 + t*h and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*z + 3123 + 1808 = 0, 5*z - 997 = -c. Let j = c - 278. What are the prime factors of j?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1295067.\nAnswer: 3, 41, 10529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - y + 3 + 0*y)*(-2*y**2 + 72*y**3 + 47*y**3 - 77*y**3) as g + a*y**3 + o*y + i*y**2 + f*y**4 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**2 - 4780*c - 14376 = 0.\nAnswer: -3, 1198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (19\/(-5) + 10))\/1 - (-670)\/(-25)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -20120 (base 3) to base 12\nAnswer: -129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 + 16*h - 29)*(436 - 436 - 5*h**4).\nAnswer: -80*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-339)\/54)\/((-1)\/28). Let n = -176 + b. Let x be 2\/(-6)*(-3)\/4. Sort n, x, 1.\nAnswer: n, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 8733749?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/420)\/((-3)\/42). Let a(z) be the first derivative of 14\/45*z**3 + 2\/25*z**5 + 13 + 0*z + 2\/15*z**2 + u*z**4. Factor a(o).\nAnswer: 2*o*(o + 1)**2*(3*o + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 385993.\nAnswer: 89, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 97.31 + -97.19103. What is j rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 569438899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -11*r - 15. Let h be a(-2). Suppose 0*n - h*n = 119. Sort 4, 1, n in ascending order.\nAnswer: n, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5 = -15. Suppose 5*g - 14 = -a, -5*a = -19 - 1. Let r be (-14)\/18 + g\/(-9). Are r and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - 50 = 16*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -312 + 323 + (-2 - 39) + 1 + -1.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66880691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 599 a factor of 325856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 856 = 6*w. Let c = w - 39. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1598*l - 664*l + 32*l + 129340 = 0 for l.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -10. Let j = -3 + 2.6. What is the nearest to 0 in 2\/3, j, l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2161 + 2132. Is -33 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 6*x)*(0 + x + 0 + (-2 + x + 2)*(-2 + 6 - 1)) - x**2 - 1 + 1.\nAnswer: -25*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 897781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -j**4\/3 - j**3\/6 + 3*j**2. What is the first derivative of n(d) wrt d?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21782 - -391937\/18. Let d = 7049 + -148069\/21. What is the common denominator of f and d?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363016793?\nAnswer: 17, 19, 43, 59, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 5. Calculate the highest common divisor of y and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = g + 4, -4*s - 2*g - 4 = -2. Let j be 20*((-3)\/6 + s). Let z be (j\/130)\/((-1)\/(-2)). Sort -0.7, z, 3 in ascending order.\nAnswer: -0.7, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 69 in 0.484, -5, -0.145, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.68 - 0.68. What is the closest to j in -2, 3\/8, -1\/6?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + p**2 + p + 8. Let j be h(0). Let q be 34\/j + 2\/(-8). Find the second derivative of -3*k + 0 + 2*k**4 + k**q + 0 wrt k.\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x. Let a(w) be the first derivative of 9 - 5*w**2 - 6 - 21. Calculate u(a(o)).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1764 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: 0.8178 * -12\nAnswer: -9.8136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3659074160 to the power of 1\/2, to the nearest integer?\nAnswer: 60490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(76))\/(sqrt(32)\/(2*sqrt(8))) + (sqrt(304) + -4 + 6*((sqrt(19) - (0 + sqrt(19) - sqrt(19))) + sqrt(19)))**2.\nAnswer: -120*sqrt(19) + 4880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -8 - (-15 - -10)) + -6 + 32.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 3*k**2 - 7*k - 14. Let w be h(5). Let d be (-9)\/(-3)*(32\/12)\/w. Calculate the highest common divisor of 10 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -h**5\/80 + 3*h**2 - 6. Let b(q) be the second derivative of k(q). Determine r so that b(r) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28161039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 divided by 6?\nAnswer: -55\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 8*x - 7. Let i be b(6). Let r = -11\/7 - -59\/42. What is the closest to -0.3 in i, 3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -377974 divided by 1?\nAnswer: -377974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -39*d - 2. Let s(i) = -44*i - 1. Let f(m) = 6*j(m) - 5*s(m). Let o(r) = 7*r + 3. Give 6*f(v) + 14*o(v).\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9)\/21)\/((-32)\/112))\/(9\/(-4))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -5665.7736?\nAnswer: 1699.73208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -4*w + 18, -m - 9 = w - 16 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*q + 38 = -268 - 639 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.16 or 58991?\nAnswer: 58991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6679*l = 118135 + 342716 for l.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*d + 1 - 1 - 9*d**3 + 2*d**3 wrt d.\nAnswer: -42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8 - -1.1. Let g = 2.1 - 2. Which is the nearest to 1? (a) i (b) -0.2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -125*s**3 + 3*s**2 + 11*s + 18. Does 42 divide f(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**1)\/c*c)**28*(c\/c**(-1\/5))\/(c\/c**(-2))*c\/((c\/c**(-2\/17))\/c*c)*c\/c**(-6)*c*c**4\/(c\/c**8) assuming c is positive.\nAnswer: c**(1452\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 + -34. Which is smaller: r or -40\/9?\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2. Let a(q) be the first derivative of 4\/3*q**3 + 0*q - 6 + 0*q**2. Calculate v(a(f)).\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -152*t. Let k(d) = 27588*d + 11. What is k(w(z))?\nAnswer: -4193376*z + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + sqrt(51)\/(sqrt(432)*2))**2*3.\nAnswer: 3*sqrt(17)\/2 + 20753\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4239?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(117)*-2)**2*-2.\nAnswer: -3744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 489.\nAnswer: 7335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1637700*c**2 - 1395715*c**2 + 1 - 1.\nAnswer: -3033415*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/6*((7 - 2) + 6).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.6 - -3.4. Let g = 55\/2 - 28. Let t = -2.8 - 0.2. What is the nearest to i in 1, g, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -249 or 2885680?\nAnswer: 2885680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, 17, -490, 2\/11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 28, -0.2 in descending order.\nAnswer: 28, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, l: 3, d: 1, f: 2, k: 3, t: 2}. Give prob of sequence lr.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q + 271 = -57*q - 79 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*i, 2*k - 5*i = -10 - 34. Let p = k - -22. Let y(m) = -3 - m**2 + 9*m + 2*m - 7*m - p*m. Give y(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6035 - 4dc?\nAnswer: 5b59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (196 - 190 - (11 + 1 - 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4*0.287589565\nAnswer: 1.15035826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15768390 divided by 66.\nAnswer: 238915","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2052, -4274, -6670, -9234, -11960?\n\"Answer: k**3 - 93*k**2 - 1950*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 5, -32025, 0.02, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 35366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/9822 and 65\/258.\nAnswer: 422346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 92, 186, 280?\n\"Answer: 94*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**5 + 9064*s**4 - 24978802*s**3\/3 + 7258893664*s**2\/3 - 2411314015*s = 0?\nAnswer: 0, 1, 2123\/3, 1605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2 - 5*k + 12. Suppose 5*z - 4*y = -37, z + 4*y - 10 = -y. Calculate r(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, j: 1, a: 2}. Give prob of sequence nj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 255.80752 rounded to 2 dps?\nAnswer: 255.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 4. Let x be l + -6 + 2 + 18. Suppose 4 = 2*c - x. Calculate the remainder when 18 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 592 + -604. Sort o, -0.2, 1\/4, 0.1 in ascending order.\nAnswer: o, -0.2, 0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/((-5)\/(-10)*-3). Let n(m) = 5*m**3 - 29*m**2 - 11*m - 4. Let w(x) = x**3 - 7*x**2 - 3*x - 1. Let a(d) = -2*n(d) + 9*w(d). Give a(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -186054806, -186054801, -186054794, -186054785, -186054774, -186054761, -186054746?\nAnswer: -186054729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.09918l to millilitres.\nAnswer: 21099.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000916401531 to 7 dps.\nAnswer: -0.0000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1231 is divided by 239.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 58136716 + 42\nAnswer: 58136758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(-3)*1\/1. What is the common denominator of (k + (-63)\/(-20))*2 and -91\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -79 + 1 - (3675 + -3756).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 12 = 0, -5*d + r - 1 = -17. Suppose d*o = 99512 - 1764. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127 - 40 = -3*k - 3*v, -22*k - 4*v - 620 = 0 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -127 - -91. Let v be 25 + b + 2*1. Sort -7, 1, v.\nAnswer: v, -7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, 1174, -1\/4, 0.5.\nAnswer: -1\/4, -2\/21, 0.5, 1174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 500450 + -31?\nAnswer: 500415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 1.99342055?\nAnswer: 1.99342055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**5 + 11395*s**4 - 57155*s**3 - 125455*s**2 + 376770*s - 205560 = 0. Calculate s.\nAnswer: -2284, -3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 15*g + 115903 = -6569. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*b = -7*b + 22, -b = 3*k - 24. Let t(m) = -m + 9. Let r be t(k). What are the prime factors of 26\/r*(-2)\/(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 3. Let m(p) = p + 4. Let h(n) = -n. Let u be h(0). Let a be m(u). Let z be y(a). Is -3\/2 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -7 + -63 + 86?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*s - 22*s = 29*s + 12003508. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1892637 + 1882159 = -338*u for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 55*d. Let h(q) = -q**2. Calculate h(s(c)).\nAnswer: -c**4 - 110*c**3 - 3025*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 318, 317, 324, 345, 386, 453, 552, 689?\n\"Answer: q**3 - 2*q**2 - 2*q + 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6890.41 meters in millimeters?\nAnswer: 6890410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 15119 = 4*h - 4*j, -3*h - j = -11363. Suppose s + 2914 = -h. What is s rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -7*p**3 - 2*p - 1 - 3*p**2 - 1 + 3. Let x be q(-2). Suppose -41 = -5*z + x. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -97*p**2\/11 + 292*p\/11 - 3\/11.\nAnswer: -(p - 3)*(97*p - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 486 + 24 = -5*s. Is -4*(s\/4 + 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19172 + 44435. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5, -0.01, -20.\nAnswer: -20, -7, -5, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/2, 11, -4\/9, -4\/165, 1\/8, 6, -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.228 + 0.228206. Round c to 5 dps.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 259531*c**2. Let g(b) = -29*b. Give l(g(n)).\nAnswer: 218265571*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, z: 3, c: 6, u: 8}. Give prob of picking 1 u and 2 z.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 - (9 - 3612\/364).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - (1*sqrt(78)*6 - sqrt(78))) + 2*(sqrt(78) - sqrt(78)*-1))\/(-1*sqrt(12)\/(sqrt(18)\/sqrt(9))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5484 by -6.\nAnswer: -914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 774, 1542, 2296, 3030, 3738, 4414?\nAnswer: 5052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 380 + -348. Let p = 464 + i. What are the prime factors of p?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -137.67 - -139. Let o = -130.084 + 131.41473. Let x = s - o. Round x to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 809213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33692959?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10562254.8 rounded to the nearest one thousand?\nAnswer: 10562000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/(-6)*8\/10. Suppose 2*f = 33 + 11. Suppose -f = -r*w - 10. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1373016 or 1373013?\nAnswer: 1373016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 100247 times -0.014\nAnswer: -1403.458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9336 is divided by 3074.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-46398)\/231 + 1*1\/(-7). Let d = n + 207. Let w(o) = -o**3 - 4*o**2 + 5*o - 2. Let h be w(-5). Sort d, -5, h in increasing order.\nAnswer: -5, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26345.\nAnswer: 5, 11, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48*i*o**4 + 9*i*o**3 - 8*i*o**2 - 45*i + o**3 wrt o?\nAnswer: 1152*i*o + 54*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 41 in 2\/11, -1\/31, -0.22, -0.5, 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -570 + 621.7. Let a = 53 - z. Let y = a - 1.3000001. Round y to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 - 51 - (-12 + 3 + -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 510.8728 + -511. Let m = n + -0.4631. What is m rounded to two dps?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(945\/(-20))*21.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 + 3*k - 2. Suppose -2*m - 2 = -3*m. Let d be q(m). Let f = 0.7 - 0.5. What is the third smallest value in f, d, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001101001 - 0?\nAnswer: -1001101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.5214 and -10.\nAnswer: -15.214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -96 + 246. Suppose -22*n + 32*n = k. Suppose 3*m + 2 = 5*h - 2, m - 6 = -2*h. Solve -5*c + 40 = -5*f, c - n - m = 4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94, 90, 86, 82, 78, 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -3*s - 25. Suppose -4*a = 3*d - 39, -2*d - s = -5*a + 3*d. What are the prime factors of (-275)\/(-15) + a\/9?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 17*w - 14*w + 3 - 5*w - 5. Let z(x) = x - 1. What is 2*o(i) - 4*z(i)?\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -5202?\nAnswer: -5202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2779773?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 2:43 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.8 + -115. Let l = y + -16.8. Let r = -125.9999839 - l. What is r rounded to six decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 387 - -0.10883384.\nAnswer: 387.10883384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 98727917 to the power of 1\/2, to the nearest integer?\nAnswer: 9936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -7\/167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 751 or -1324?\nAnswer: 751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**2 - 64*g - 140. Determine d(-18).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.7516 rounded to zero decimal places?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 12 - 8 = -3*n, -b - 18 = 5*n. What is the remainder when 24 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/101, -43202, 3, 0 in descending order.\nAnswer: 3, 2\/101, 0, -43202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c + 1. Let i be z(-10). Let y = 24 - i. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94 + -116 - (1 - -3 - 18)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 78\/19 + -1 + (-34)\/(-38). Let q(j) = 37*j - 140. Let i be q(u). Solve 3*n - 5 = i*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-201*i - 115*i - 12*i**2 + 385*i)*(2 - 2 - 7) to s*i**2 + t + q*i and give s.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (2 + -2 - (-2 - 0))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -474 (base 9) to base 14\nAnswer: -1dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 7*i - 7. Let j be l(6). Suppose 11*y + j = 16*y. What is the greatest common factor of y and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**4 + 9*s**3 - 36*s**2 - 44*s. Let m(q) = -3*q**3 + 12*q**2 + 15*q. Let c(o) = -3*f(o) - 8*m(o). Determine r, given that c(r) = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/65)\/(18\/(-10)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {o: 4, a: 6, l: 2, f: 3, u: 1}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-5)*(-2 + 1). Let u = -19589 - -19562. Sort 2\/7, u, l in descending order.\nAnswer: 2\/7, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5591813013.\nAnswer: 3, 4357, 142601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 6*p - 4*p + 177, 4*w - 3*p - 236 = 0. Suppose -2*u - 3*u = 110. Let l = u + w. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 11*s**6\/30 - 7*s**4\/6 + 9*s. Find the third derivative of n(h) wrt h.\nAnswer: 264*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 10*i + 8. Let t be m(-11). Let z = 8 - 6. Let j(q) = -2 + z*q + 5 + 2*q. Calculate j(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1046*l*v + v - 149 wrt l.\nAnswer: 1046*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32727487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-74 + 6 - -9)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 142534 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 - 24 - 61*k**2 - 21 - 233*k**2.\nAnswer: -294*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3\/5 - 63*b**2 - 2691*b\/5 - 2373\/5.\nAnswer: 3*(b - 113)*(b + 1)*(b + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (140*b + 45*b - 52*b + (-3 - 3 + 4)*(2*b - 3*b + 0*b))*(b**2 + 3*b - 3*b) in the form g*b**3 + l*b**2 + i*b + y and give g.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 27*p + 22. Let x be s(-1). Which is the third biggest value? (a) x (b) -4 (c) 1\/2 (d) -160 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (3\/(-3) - 106). Suppose -4*f + 191 + h = 0. Suppose -19 = i - f. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1086 and 1128905688?\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d**2 - 5*d. Let o(h) = -h**2. Let w(t) = 2*o(t) - v(t). Let z be -3*1 - (-2 + 2). What is w(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370 is divided by 101.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 9:25 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -18, 0.2?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 0, 5*a + 4*m = 5*m. Let b be a\/((-3)\/3 - 1). Suppose 0 = 3*n - b*n - 216. What is the highest common factor of 8 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 42*k**2 + 164*k - 12. Determine s(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n + 24. Let l = 15 + -4. What is the remainder when d(-2) is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1172 - 1170. Let c(g) be the third derivative of 1\/24*g**6 + 0*g**4 + 0 + 3*g**v + 1\/60*g**5 + 0*g + 0*g**3. Find the third derivative of c(d) wrt d.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 - (-107 + 183) - (-7 + 81).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1839 - 473. What is the tens digit of l\/5 + (-5 - (-203)\/35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a century?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 189805 = -24*c + 6*c. What are the prime factors of c?\nAnswer: 5, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -7 + 10 + (1 - 3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 64*a*h*v - 33*a*h - 2*a*v - 2*a - 2*h*v + 1 wrt v?\nAnswer: 64*a*h - 2*a - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 128, -43, -2\/5, 15\/8, 2\/5?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -424.9 to the nearest 10.\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 894 and 42.\nAnswer: 6258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 16 + 19 + 30*z**3 - 2*z**2 - 42 + 12*z - 17*z**3 in the form i*z**2 + u*z**3 + j + h*z and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -4, -6, -42, -7, 4 in ascending order.\nAnswer: -42, -10, -7, -6, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1346, 1356, 1388, 1454, 1566, 1736, 1976?\nAnswer: 2298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -8838 (base 9) to base 4\nAnswer: -1211303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s\/s**(-4\/13)*s*s*s*s)\/s*s*s*s**44)\/((s\/(s*s\/s**(38\/5)))\/(s\/s**6*s)) assuming s is positive.\nAnswer: s**(2646\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y - 402*y**2 + 1173*y**2 - 366*y**2 - 404*y**2 + y.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 52?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - -0.5. Let w = q - 0.75. Let y = -0.05 - w. What is the second biggest value in y, -0.3, 2\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1866554?\nAnswer: 2, 53, 17609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -54, -234, -592, -1188, -2082?\nAnswer: -3334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2233216451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4207, -2735, -9677, -16619, -23561, -30503?\nAnswer: -37445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 1:38 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32018368 and 384?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3040\/(-28))\/((-8)\/(-308)). Find the common denominator of (-37962)\/q - 1\/((-11)\/(-2)) and 69\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 498200 divided by 1880?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6213598, 12427197, 18640796, 24854395, 31067994?\n\"Answer: 6213599*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2*(-3)\/(-2)*88\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b - 27*b = -61*b + 2145. Calculate the remainder when 1374 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*a + 21536 = 0, 4*b + 3*a + 21544 = -a. What is the tens digit of 3 + b\/(-27) - (-4)\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7864940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v - 1. Let q be z(-3). Let y = -2 - q. Suppose 0 = u - 3*s + s - 3, 5*s - 25 = -4*u. Solve u*p - 3 = -3*k - 4, -y*k - 3 = p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 11*a**2 + 3*a + 3. Let n(f) = -2*f**3 - 21*f**2 + 5*f + 5. What is -5*d(t) + 3*n(t)?\nAnswer: -t**3 - 8*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 368 a factor of 1948687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23565*t**2 + 3*t + 1 - 326*t**3 + 23565*t**2 to n + z*t + a*t**3 + p*t**2 and give a.\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*i**3*s*t + 2*i**3 - 3*i**2*t - i*s*t - 10*i*s with respect to t.\nAnswer: 17*i**3*s - 3*i**2 - i*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -15.5 times -44028\nAnswer: 682434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.7215232 millennia?\nAnswer: 7.215232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -16*s**2. Let y(h) = 2*h - 6. Let z(j) = 3*j - 8. Let l(n) = 4*y(n) - 3*z(n). Give o(l(g)).\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/30657 and -86\/69675.\nAnswer: 766425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -139645*m**5 + 2*m**3 + 1054*m**2 + m - 3?\nAnswer: -8378700*m**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1.73, -5 in descending order.\nAnswer: 3, 1.73, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 195 and 465?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.022 (b) 5.3 (c) 5 (d) -10 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**5\/30 + 7*c**4\/12 + 17*c**3\/6 - 7*c**2. Is q(-8) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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: Suppose 128 = -48*u + 64*u. Solve -x = 5*m - u*m + 3, 0 = 2*x + 5*m + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/34*(-2)\/(-12)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + y + 11*y = 72. Calculate the greatest common divisor of y and 2511.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**2 + x - 1. Let o = 20 + -21. Let r(h) = 7*h**2 - h + 4. Let l(s) = s**2 + 1. Let y(g) = o*r(g) + 3*l(g). What is 7*u(a) - 5*y(a)?\nAnswer: -a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 108580805 to the power of 1\/4, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11 (b) -43 (c) 47 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -291137\/1644387 + 183\/1189. Find the common denominator of -29\/6 and l.\nAnswer: 2766","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -9*i**3 + 5*i**2. Let q(a) = 2218 - 27*a**3 - 2218 + 14*a**2 - a**3. What is 5*q(u) - 14*t(u)?\nAnswer: -14*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 50 = -12*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-12) + 3\/9. Let b be l - (12\/(-60) - (-22)\/10). Sort -10, b, 4 in decreasing order.\nAnswer: 4, b, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4240749402?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 - -42. Suppose -w = d - 3*d. Let q = 99 - d. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - -4 - (-77 - -147 - -81).\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 213*h - 10791. What is o(-83)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 3 = -2*f, -2*f + 1 = 5*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/8)\/(-1 - 78\/48). Is -0.13 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-10 + 6*q + 10)*(-1 + 0 + 2) - 5*q + 0*q - 8*q)*(3*q - 1 + 1) to h*q**2 + n + z*q and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06433 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39656240 divided by -9914060.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 112441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 + -2 - 7) + -3. Let h be ((-15)\/v)\/((-3)\/6). Is (6 + h)\/((-4)\/(-132)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 - 7)*(0*g**3 - 6*g**3 - g**3) to c + x*g**2 + j*g**3 + f*g and give j.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 81.2378?\nAnswer: -162.4756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-39) + 4 + 17694\/78. Let g = -116 + s. List the prime factors of g.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -226 - -325. Find the common denominator of (-48)\/264 - (-700)\/a and 8\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/81? (a) -4 (b) 9 (c) -1\/9 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 6*j**2 - 5*j - 4. Let o(m) = -1 + m**3 - 2*m**3 - 4 - 6*m - 7*m**2. Let u(p) = -p**2 + 6*p - 4. Let h be u(6). What is h*o(k) + 5*d(k)?\nAnswer: -k**3 - 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 11:50 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -820287.9665 to the nearest 1000.\nAnswer: -820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 48736699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 189670360 to the nearest integer?\nAnswer: 13772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 36.6559l?\nAnswer: 36655.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -317.\nAnswer: -1\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (930\/(-185) + 23\/851)\/(-37 + 2)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*-4 + sqrt(180))**2 + (sqrt(320) + 0)**2.\nAnswer: 1940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -5*g + 16, -5*j + 6*g - g + 20 = 0. Suppose -j*f + 6 + 2 = 0. Solve -18 = 4*n + f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3107, -13519, -30875, -55175?\nAnswer: -86419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -973 and -489.\nAnswer: 475797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 5*q**2 - 8*q + 4. Let h be v(6). Let p be h\/(-36) - 68\/(-18). Solve l + 24 = 5*d, 4*l = p*d - 3*d - 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 31. Suppose 2*a + 24 = v*a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -270, -1713, -4120, -7485, -11802, -17065?\nAnswer: -23268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1430 and 910.\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 + 11. Let x = 45 + h. Suppose s + s = -x. Put 1\/2, 0.3, s in decreasing order.\nAnswer: 1\/2, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -30, -29, -28, -27?\n\"Answer: f - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406880 = 4807*n - 137688 for n.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 4:04 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 18 = 6*b. Solve b*s + 24 = -3*q, -5*s - 25 = 5*q - 3*s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - (16 - (23 - (9 - 0)))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 128 + -122. Let q be (g\/(-15))\/(6\/(-10))*-3. Does 9 divide ((-12)\/18)\/(q\/750 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71 - -76. Suppose 3*z = -15, -2*z - 65 = -2*w + z. Solve -3*t + 0*t = 4*j - 18, d*t - w = -5*j for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drsddddddsdddr. What is prob of sequence rdrs?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 0, 4*w + 4*x - 12 = 7*x. Suppose 0 = -a - 2*c - 6, 5*a + 4*c + w = -3. Let o(u) = 4*u**3 - u**2 + 3*u - 4. Is o(a) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/22980 and 37\/1350075.\nAnswer: 5400300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 26\/10 - 24\/(-60). Suppose 0 = 2*n + n - b*u - 90, -n + 60 = 5*u. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7328981 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -21*m**3 - 5*m**2 - 3*m + 4. Let c be q(-2). Suppose -4*i = -162 + c. Let p = -10 + 14. Solve l + 3*a = 12, p*l - 5*a + 21 = i for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2529 + 0.05242. Let n = 0.3 + -0.1. Let s = g + n. What is s rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/70 or 4.0011?\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0192 - -2.0218. Let u = -2.042853 + d. Round u to 4 dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -90*b - 18. List the prime factors of y(-3).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 43*n**2 + 155*n - 2996. Let b be d(41). Let p(s) = s**2 - 4*s - 8. Let f be p(8). Put 5, b, f, 3 in decreasing order.\nAnswer: f, 5, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/(-105)*40\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1910 is divided by 1747.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*n + 100*n - 12 = -v, -63 = 4*n - v for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56.3 - -59. Let i = 2.9 - q. What is the third biggest value in -1\/2, i, -1\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 2.68 (c) 202089\/5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0751 or 505?\nAnswer: -0.0751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of p**3 - 18*p**2 + 108*p + 13. Let a(t) = 0. What is t?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 61, 3, 0.3, -1\/3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -219 + 113. Let x = o - -231. What is the highest common divisor of 25 and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -9*s - 18. Does 2 divide z(-40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/4 (b) 1 (c) 3 (d) -3\/5 (e) 0.004\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 14 = -3*y. Solve -3*s = y*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -121 + 208. List the prime factors of q.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1862 + -1861. Which is the third smallest value? (a) -426 (b) u (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73089022.\nAnswer: 2, 36544511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 10*v - 104 = 5*z, -4*z - 8*v = -12*v - 32 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.11, 0.7, 22.95, 3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*c**4 + 48*c*w - 1211*w - 1 wrt c?\nAnswer: 52*c**3 + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 s when three letters picked without replacement from ssvvsvsvssvv.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/45))**47*c**2\/(c\/(c\/c**(-46))) assuming c is positive.\nAnswer: c**(2066\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 56*y + 408. Calculate q(-47).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, q: 1, p: 6, e: 3, j: 3}. Give prob of picking 1 p and 1 e.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 1:47 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 803903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14033*b**3 + 44868*b**2 wrt b.\nAnswer: 84198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4135c02 (base 13) to base 16\nAnswer: 12dc6cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42194 is divided by 87.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6677356 millennia to months.\nAnswer: 8012.8272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 29*f**2 - 23*f + 528. Is a(-29) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-4))\/(549\/488)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -18*o - 197. Let d be z(-11). Let k(j) = j - 3. Let q be k(5). Let r be q\/(-9)*(-2 - 1). Is r greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38061?\nAnswer: 3, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 38*a - 4. Let h be p(1). Let t = h + -30. Suppose -2*x = -0*x - t. Solve 0 = 4*r - 4*n + 28, 2 - 1 = x*r + 3*n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**6\/10 + 11*q**3\/6 + 3*q**2. What is the first derivative of t(v) wrt v?\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*t - 20. Let q = 12 - 7. Solve t*o = -l + 6, -q*o - 4 = -4*o - 5*l for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110000011101001011 (base 2) in base 16?\nAnswer: 3074b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 102, 6, 80, 4 in descending order.\nAnswer: 102, 80, 40, 6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a9 + -121c?\nAnswer: -12c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, k: 7, f: 6, z: 1}. What is prob of sequence czc?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 496663, 993354, 1490045?\nAnswer: 1986736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*k = 880 - 5375 for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2202)\/12 + (-2)\/(-4). Is n\/(-6) - (-6)\/4 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -8, 76.\nAnswer: -8, -5, 1, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + a + a**2)*(140 - 47 - 67).\nAnswer: 26*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5103)\/162)\/(60\/(-10))*(-48)\/28.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 f when three letters picked without replacement from ddkisgigsddffg?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34567314.000263 + 34567145. Let a = -169 - r. What is a rounded to five decimal places?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*p + 25*p - c - 11, p - 7 = 2*c. What is the greatest common divisor of 10 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63 + 255\/4. Let h = 41.1 + -41.2. Sort h, w, 8, 0.3 in increasing order.\nAnswer: h, 0.3, w, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8219266 divided by 373603.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -64*x**2. Let o(l) be the first derivative of -l**3\/3 - 45. What is g(o(p))?\nAnswer: -64*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b - 2940 - 3644. What are the prime factors of b?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 2*z - 4. Let o(j) = 4*j**2 + j + 10. Let s be o(0). Suppose -7*q = -s - 11. Solve f + q = -z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 4*n - 15 = 0, -5*n = -6*n - 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 804*q - 277*q + 666*q.\nAnswer: 1193*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b*d*f*o - 2*b*d*o + 57*b*f - d*f*o + 91*d*o + 2*f*o - 1 wrt b.\nAnswer: -d*f*o - 2*d*o + 57*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-325)\/18330*-47)\/((-80)\/(-6)).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.035? (a) 5 (b) 0 (c) -66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 0, 487 in increasing order.\nAnswer: 0, 1, 5, 487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 146*d**4*k + 27*d**4 - 177*d**3 + 12451585*d**2*k wrt d?\nAnswer: 3504*d*k + 648*d - 1062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4626953617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9231858, -9231894, -9231928, -9231960, -9231990, -9232018?\nAnswer: -9232044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 i when four letters picked without replacement from {i: 2, h: 6, y: 3, g: 2, v: 2}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5166 and 2252007.\nAnswer: 31528098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -20*r + 27*r - 19*r**3 - 2*r**2 - 8*r. Suppose 0 = -0*i - 3*i - 3. What is the units digit of n(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p + 1 = 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*q**3 - 960\/11*q + 1600\/11 + 84\/11*q**2.\nAnswer: -2*(q - 20)**2*(q - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -228, 2\/9, -1 in ascending order.\nAnswer: -228, -1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -300, -1144, -1832, -1776, -388, 2920?\nAnswer: 8736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*s + 28 = 0. Let y = 39 + s. Calculate the remainder when 43 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + 9*h + 1172 = 5*h, 0 = 4*q + 5*h + 577. What is the biggest value in q, 9, -1, -2\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 3)*(-4939*v + 12995*v - 4823*v - 4487*v).\nAnswer: 2508*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.16 - 0.16. Sort t, -4, 6 in decreasing order.\nAnswer: 6, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86748 and 16860?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, o: 5, g: 5}. What is prob of picking 2 p?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u - 2. Let t(n) = -9*n + 5. Give -8*p(j) - 3*t(j).\nAnswer: 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -81*t**6 - 7938*t**5\/5 + 1359*t**4 - 3656*t**3\/9 + 136*t**2\/3 - 349. Let g(v) = 0. What is v?\nAnswer: -17, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 8*n + 5. Let z be l(-8). Suppose -x = 3*o + 3, 2*x - 1 - 4 = z*o. Solve x*f**2 + 0 - 1\/3*f + 1\/3*f**3 = 0 for f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(24*19*4\/17936).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*(u*u**(-8))\/u)**(3\/5)*u**6\/u**(-24))**(4\/25) assuming u is positive.\nAnswer: u**(528\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + d - d**4)*(-d - 4 + 4) + 2*d**5 + d**5 - d**5 - 3*d**5 + 4*d**5 + d**5 + (0 + 0 + d**2)*(d**2 - d**2 - d**3) + 26530*d**3 - 26530*d**3 - 4134*d**5.\nAnswer: -4130*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39360 a multiple of 225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2.2, 2\/5 in decreasing order.\nAnswer: 3, 2.2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-66 - 33 + 2)*(-5*s + 0*s + 2*s + (-2*s + 4*s - 3*s)*(5 - 1 - 2)) to j*s + d and give j.\nAnswer: 485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 35, 0, 5 in ascending order.\nAnswer: -1, 0, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 361, 0.5, -1, 0.4, 2\/7?\nAnswer: 361","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 + -76 - (-9)\/(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 0.149, -0.5, 25 in descending order.\nAnswer: 25, 3\/8, 0.149, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -15, 3, 273, -3 in ascending order.\nAnswer: -15, -3, 3, 5, 273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -343\/5*y**2 - 3*y - 7\/10*y**4 + 6 - 1\/50*y**5 - 49\/5*y**3. Let i(z) = 0. What is z?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-15) - 2\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -25, -3, -11 in increasing order.\nAnswer: -25, -15, -11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 508 - 62. Suppose -30*m = -25*m - 25. Suppose 0 = -0*u + m*u - h. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - r - 4 + (0 + r + 0)*(-1 - 3 + 0)*(1 + 1 + 0) as v*r + q and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 171761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1313146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 + (-29)\/(-5) - 1)*10. Is 5 a factor of (3\/6)\/1*g - -49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(d**2 - 3*d**2 + 4*d**2)*(0 + 3 - 1 + (-1 + 1 + 4)*(3 - 5 + 1)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 + 40. Let p = g - 1. Suppose f - 14 - 25 = p. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 2*r - r)*(143 + 188 - 118 + r).\nAnswer: 2*r**2 + 426*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 + 6 - 5 - 2 - 6 + 4 - 6 + 4 + (4 + 1 - 4)*(5 - 4 + 1))*(0*t**2 + 0*t**2 + 2*t**2) as u + a*t**2 + k*t and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2))**(-39)*y**(-4)\/y**9*(((y*y*y*(y**(2\/7)*y)\/y*y*y)\/y)\/y)**(-21)*((y*(y**(-2\/7)*y)\/y)\/y)**(-7) assuming y is positive.\nAnswer: y**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - s + 3. Let h be j(0). Let x = -422 + 424. Solve -4*t - 3 = -w, 2*w - x*t - h = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wnwwzwwzveevvw. Give prob of picking 1 v, 1 n, and 2 w.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2*(-3)\/(-6))\/((-5)\/(-355))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m - 7. Let z be -9*(15\/(-20))\/((-27)\/(-24)). Give b(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 17612407, 17612406, 17612405, 17612404, 17612403, 17612402?\n\"Answer: -n + 17612408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.0571763 to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 57 = -2*w - 3*x, 20 = 4*x. Let a = w + -9. Suppose -a*i + 16 = -2*o, -2*o + 5*i - 28 = -6*o. Calculate the lowest common multiple of 11 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189406.\nAnswer: 2, 7, 83, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*q**2 - 188*q**2 - 82*q**2 + 5*q**2 - 286*q**2.\nAnswer: -638*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2292\/955)\/(20\/25))\/24?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -1024360?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d**(5\/6)*d)\/d*d*d**(-3\/2))\/(d\/d**(-2\/7)*d*d\/d**5))**(-31) assuming d is positive.\nAnswer: d**(-1984\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 163*(-5)\/(-35) - 2\/7. What is the first derivative of 2 - 17 - y*p - 11 + 2*p wrt p?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 15) to base 8.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 2\/17, -1.72, 3 in decreasing order.\nAnswer: 3, 2\/17, -0.02, -1.72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = v - 5. Let b = 7 - v. Let u(w) = -w + 8. Give u(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3832\/11 - -348. Suppose 0 = 9*z - 13*z. Which is greater: t or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*j = -239*j + 6*j + 598 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 4 + 0*z - 1\/3*z**3 + 0*z**2. Let p(v) = -2032*v + 2032*v - 7*v**2. Calculate o(p(w)).\nAnswer: -49*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1755\/(-546)*7\/(-30)*2\/20?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 6:39 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 13. Let v = 7 + d. Suppose -102 = -s - v. Calculate the greatest common divisor of 36 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1214040 to the nearest integer?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 42 + -48 + -1 + (0 - 1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -7\/6, 4\/9, 1, 9, 135?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rqcswws. Give prob of sequence qwc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 5*r - 16. What is the smallest common multiple of 8 and g(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69 + 172. What are the prime factors of k?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6545)\/(-252) - 26)*3\/((-2)\/2).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k + 4767 + 7004 = 2271. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 7605818.\nAnswer: 7605820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 9*v**2 - 38*v + 300. Let d be h(11). Solve 32*i - i = d for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -133*u**2*x**3 + 1269*u**2*x**2 - 39*u**2 + 3*u*x**3 + 23*x**3 wrt x?\nAnswer: -798*u**2 + 18*u + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + s - 30. Let q = 25\/21 + -23\/84. Find the common denominator of 3\/(-6) + (-56)\/s and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*x**2 + 3*x**2 + 14 + x**2 + 2*x**2 to the form w*x**2 + z*x + a and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -1 + 0 + 5*p + 2 - 3. Let s(n) = -28 + 169 - 38 - 27 - 35 - 5*n - 39. Give -6*c(r) - 7*s(r).\nAnswer: 5*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.07 + -0.39. Let k = 0.18 + n. Let x = 1.5 + -1.7. Which is the third smallest value? (a) x (b) 6\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from zppzzppppppppp.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 319608 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11343, -11412, -11481, -11550, -11619, -11688?\n\"Answer: -69*w - 11274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314801 is divided by 78698.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/(-8))\/((-4)\/6). Let w(u) = -26 + y*u + 26 + 3*u. Let b(f) = f**2 - f**2 + 4*f**2. Give w(b(d)).\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81718, 326823, 735332, 1307245, 2042562, 2941283, 4003408?\nAnswer: 5228937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1656 a factor of 647196436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - 3*c**2 - 2*c**2)*((1 + 3 - 2)*(7 - 7 - 9*c) - 3*c + 2*c + 2*c).\nAnswer: 34*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -165*36\/180 - (-48)\/12.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.54 - 10.94. Which is the closest to 0? (a) -10 (b) -2\/5 (c) 0.5 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 28*w**2 - 2*w - 54. Let p be n(-28). Solve -o - g = -5, -p*g + 5 + 5 = 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*q + 6471 + 7277 = 0, 3*g - 20617 = -2*q. Does 79 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 17*z - 2. Suppose 0 = 8*s - 1 - 7. Let w be y(s). Solve -3*f - w = 2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l**3 - 10 - 3 - l**3 + 31 - 8.\nAnswer: 9*l**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5*d**4 + 617*d**3 + 563*d**2 - 9. Let c(y) = -2*y**4 - 3. Let w(s) = -3*c(s) + n(s). What is the third derivative of w(j) wrt j?\nAnswer: 24*j + 3702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -340*r. Let z(p) = -p**2 + 34*p. What is l(z(j))?\nAnswer: 340*j**2 - 11560*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7069347181 to the nearest integer?\nAnswer: 84079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-2))\/(-2 - -4). Let o = p - -3. Suppose -i = o*i - 100. Calculate the remainder when i is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 924 + -914. Calculate the remainder when n is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 2314 - 1856. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-114)\/41040*-30*1\/(-1)*-16.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6036817634 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 10:21 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4648, 9365, 14150, 19003, 23924, 28913?\n\"Answer: 34*f**2 + 4615*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -d + 31, 5*f + 1726*d - 74 = 1727*d for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/3)\/z*z\/(z*z**(2\/5))*(z**(-1\/2)*z*z)**(-21) assuming z is positive.\nAnswer: z**(-967\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(0 - 4 - 1)*(-3*w**2 + 3*w**2 + 4*w**2).\nAnswer: -40*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1563072*q**2 - 2710848*q wrt q.\nAnswer: -3126144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 4 (c) -100 (d) -0.24 (e) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*q - 3*q - 32, -q + 5 = 3*s. Solve 2*a - 4*y + s*y + 4 = 0, 0 = y for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -135*p**3 - p**2 - 4*p - 3. Let b be r(-1). Let s = 131 - b. Sort 2\/21, 0.03, s in decreasing order.\nAnswer: 2\/21, 0.03, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17711195 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 2*z**4 + 2*z)*(z - 7*z - 2*z).\nAnswer: -16*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*s**3 - 17*s**3 - 9*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -90 divided by 6\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 0 + 1)\/((-4)\/(-8)). Solve -4*k = -5*n - 1 + 9, 2*k + 2*n + x = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.055725 to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8287 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15304267?\nAnswer: 11, 17, 223, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 9:58 AM?\nAnswer: 268","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Sort -169, 0, 6, 4, 5 in increasing order.\nAnswer: -169, 0, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2 - 3*b + 3 - b. Suppose -3*t - 1 = 4*g - 11, -t + 5 = 3*g. Calculate c(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*c**3*h**2*v - 2*c**3*h*v - c**2*h - 216*h**2*v + 79*h*v - v wrt h.\nAnswer: -10*c**3*v - 432*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -2100210112221?\nAnswer: 2100210112222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**2 + 33996*o - 54213120 = 0.\nAnswer: 1920, 9412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3*(1 + sqrt(343)) + (4*sqrt(343)*1 - -6*(1 + sqrt(343))) + 0 + 3 + sqrt(343) + 1 + 5 + -2)**2.\nAnswer: 3136*sqrt(7) + 67484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*o*t**2 - o*t - 9920*o - 8*t**2 + 4431*t - 8 wrt t?\nAnswer: -4*o*t - o - 16*t + 4431","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -12*c + 13*c. Let r(s) = s**2 - 49. What is the lowest common multiple of r(13) and c?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18285, -36583, -54893, -73221, -91573, -109955?\nAnswer: -128373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (147\/27 - 3)*(-135)\/(-90). What is the fourth biggest value in k, 2\/5, 4\/15, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20119 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(8) + sqrt(8))*-1)\/(sqrt(400)*-2).\nAnswer: 3*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.081 - 0.019. Let j = -0.03 - -0.23. What is the closest to j in 1, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**3\/3 + 7*q**2\/2 - 3*q - 2. Is 3 a factor of s(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 + 86*t - 836. Calculate m(9).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 divided by 1.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1521 - 2?\nAnswer: 1517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2 + 0 + 1 - 2*f. Let s(w) = w. Let d(v) = -v. Let t be d(-3). Let m(c) = t*s(c) + g(c). What is the derivative of m(y) wrt y?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -484, -323, -148, 47, 268, 521?\nAnswer: 812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2298498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**4 - 2*r + 2*r - 3*r**4 - r**4 + 0*r**4 + (5 + 0 - 3)*(0*r + 0*r - r**4) - 2*r**4 + 4*r**4 - 3*r**4.\nAnswer: -11*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 11 + 9. Let s = f + -2. Let n be 6\/9*s - 0. Let y(z) = 3*z**2 - z - 1. Let q(o) = 13*o**2 - 4*o - 5. What is n*q(g) - 9*y(g)?\nAnswer: -g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -763, -1528, -2293, -3058, -3823?\n\"Answer: -765*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 850010009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 707 is divided by 256?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -78691, -78676, -78661, -78646, -78631, -78616?\n\"Answer: 15*c - 78706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 11 = s - g, -2*s - 8 = -4*g. Suppose -3*k + 0*r + 8 = -2*r, -8 = -5*k + s*r. Solve 0*w - w - 2 = k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 l when two letters picked without replacement from fufuffbluhuff.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 3*x + 4. Let h(d) = d + 9. Let s be h(-11). Calculate the remainder when 2 is divided by r(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6997090 to the nearest one hundred thousand.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 50321950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154371660 divided by -3.\nAnswer: -51457220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 41070581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 10:22 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2, -1 in increasing order.\nAnswer: -2, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2645, -2622, -2599, -2576, -2553, -2530?\n\"Answer: 23*y - 2668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*(4*sqrt(567)*-1 + -2 + (sqrt(567) - (sqrt(567) + 1))))**2 + 1.\nAnswer: 216*sqrt(7) + 9077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 6*s**2 - 14*s + 6. Let a(f) = -5*f**3 - 31*f**2 + 71*f - 33. Let p(i) = -2*a(i) - 11*j(i). Solve p(c) = 0.\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 23*f**2 + f. Let x be a(-1). Suppose x = 3*s - 8. Suppose g = -2 + s. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15*10)\/5*(-5)\/(-10). Let q(j) = -j**2 + 8*j + 2. Let u be q(7). Suppose -6*d + u + w = 0. Solve 16 = 4*x, z = -d*z + 3*x + 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/107 bigger than 0.03948?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000807 rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, a: 9, e: 1, t: 6}. Give prob of sequence dtd.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 44, -4.\nAnswer: -4, -1, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -7. What is the smallest common multiple of 22 and a + (-2)\/(4\/(-10))?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0997 and -0.04914?\nAnswer: 0.004899258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 984?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 4*y = -2*x + 2*y - 12, -5*y + 72 = -5*x + 127 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**5\/20 - d**4\/2 + 9*d. What is the third derivative of c(t) wrt t?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(130) + sqrt(130)*-2 + sqrt(130) + sqrt(130)))\/(sqrt(490) - (sqrt(490) + (sqrt(490)*-1 + sqrt(490) - sqrt(490)))).\nAnswer: -4*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 185, 1, 4, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38307918 and 8030?\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*y - 23*y - 48. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-9))\/((2424456\/324)\/223)?\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.00389 and 6.2?\nAnswer: 0.024118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27 + 27 - 11*y**4 + (-y**3 + 0*y**3 + 2*y**3)*(36*y + 155 - 155).\nAnswer: 25*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9234862291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -40, 16, 92?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/147645 and 101\/44490360?\nAnswer: 133471080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1666*m = -4427*m + 27191 + 36312 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a century?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 2\/713153347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 877a - -5?\nAnswer: 8781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/9690 and -93\/48070.\nAnswer: 2451570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 13229\nAnswer: 1\/13229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(49)*-2)\/(4*sqrt(63) + sqrt(7)) + sqrt(168)\/(sqrt(6)*-2*-6).\nAnswer: 73*sqrt(7)\/78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -25, -117, -367, -853, -1653, -2845, -4507?\n\"Answer: -13*o**3 - o**2 + 2*o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/m**(-1\/16)))**35 assuming m is positive.\nAnswer: m**(525\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 252788060?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292 a factor of 279698249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + 1956\/(-960))\/(453\/(-4)). Is y < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 300 a factor of 7441273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 163 = -4*o + 101, 5*o = -3*i + 328. Let u = o + -47. What is the remainder when 276\/8 + 2\/4 is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/28)\/(16 - 620\/35).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 7*x + 10. Let g be r(-1). Let l(d) = -d**3 + 4*d**2 - 3*d + 2. Let z be 2\/(-1)*(-3)\/2. Let w be l(z). Solve w = -p - g for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -6 - 9*i + 7 + 10*i. Let w(a) = 5*a**4 - 105*a**3 + 95*a**2 + 100*a - 105. Let f(m) = 5*n(m) + w(m). What is c in f(c) = 0?\nAnswer: -1, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6 = 4*z. Let t(y) = -2*y + 5. Let p(a) = -a + 3. Let h(i) = z*t(i) + 5*p(i). Let u(j) = -5 + 5 - 2*j**2. Give u(h(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at least 2825131\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 97826502 to the power of 1\/2, to the nearest integer?\nAnswer: 9891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-24)\/108 + 16708\/18 is divided by (-6 + 324\/30 + -1)*5.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2721492 a multiple of 339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53 + -17. Calculate the remainder when 68 is divided by z.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a**3 - 20*a + 1594. Calculate the remainder when n(0) is divided by 522.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2308219 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: In base 4, what is 3 + 1203030?\nAnswer: 1203033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1827 + 1825. What is the closest to -4\/13 in -4, 1\/4, 8, a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.314812 rounded to four dps?\nAnswer: 0.3148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -91*96\/336 - -34?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 288*m**2*p**3 + 47*m**2*p - 77*m*p**3 - 16*m + 7*p**2 wrt m?\nAnswer: 576*p**3 + 94*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)*1*4*4)**2 + (-4*(sqrt(102) - (sqrt(102) - (sqrt(102) - (sqrt(102) - sqrt(102)*-2)))))\/(4*sqrt(150)).\nAnswer: 2*sqrt(17)\/5 + 69632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -1289477 = -1289474?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + 6. Suppose -2 = -5*p + k. Suppose 3*j + 4*r - 8 = 0, -p*j + 0*r - 3*r = -9. Solve j*v + 3*g = 2*g - 14, 0 = 3*v - 5*g - 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l**2 + 31*l - 28. Determine w(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/18424 and -31\/18424?\nAnswer: 18424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 11*h**3\/6 - 5123*h**2\/2 + 1397*h\/3 = 0.\nAnswer: 0, 2\/11, 1397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + d + d)*(-d**3 + d**3 - 2*d**3)*(-21 - 22 + 25) + 9*d**3 + 10*d**4 - 9*d**3.\nAnswer: -26*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2 + 2*u + 2. Let t(a) be the first derivative of 9*a**5\/40 - 13*a**3\/3 + 86. Let i(x) be the third derivative of t(x). Calculate l(i(y)).\nAnswer: 54*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73 - 64. Suppose 0 = 17*f - 16*f - a. Let w(v) = -v**3 + 3*v**2 + 3*v + 4. Let y be w(4). Solve 2*q + q + f = y for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3664565 is divided by 109.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, h: 7, c: 2, j: 7}. Give prob of picking 4 h.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.14 (b) -3\/61 (c) 0.1003\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 27154 (b) 2\/3 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbq when three letters picked without replacement from bbqqcqqcqcbqqqqqqqq.\nAnswer: 26\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) -3 (c) 2\/45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -75 - -53. Is -22 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1534.225 * 0.2.\nAnswer: -306.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 46, -21, -15 in decreasing order.\nAnswer: 46, 5, 4, -15, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-874)\/(-57))\/((-2)\/(-6)). Calculate the highest common divisor of f and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11032222 (base 4) to base 16\nAnswer: 53aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*m, -3*o - 5*m = -89 - 59. Let z = o - 514\/9. Let s = -23\/45 - z. Is -1 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y, 2*y = 4*f - 1 - 11. Suppose z - f*z + z = 0. Solve -2*a + z + 14 = 5*u, a = -3*u + 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 5*z + 93, -d + 3*z = -64 + 37. Calculate the highest common factor of 16 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3099250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 1770.11.\nAnswer: 5310.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/4 + 14247921*v\/2 + 42743790.\nAnswer: -3*(v - 9498620)*(v + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 406.9999337 + -407. Round k to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1264587601.502 and 302.\nAnswer: 1264587903.502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22990*n - 240*n**2 - 22990*n + (3 - 1 + 0)*(-1 + 1 + 2*n**2).\nAnswer: -236*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 6, -0.531, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61 or 1469?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -294 - -293.99999777. What is s rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -1.9. Let w = n - -0.1. Let f = -0.05 - -5.05. Which is the nearest to w? (a) -0.2 (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56740 - 56740 + 125*n**3 - 13*n**3)*(2 + 4 + 22).\nAnswer: 3136*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1200\/(-64)*16\/(-6)*99\/(-935)*-17.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*1*(2 + sqrt(64)\/sqrt(8)) + 4.\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -1\/14, 5, -0.3, 0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391 is divided by 37.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o**3 - 2*o**2 - 5. Suppose 367*c = -4*b + 362*c + 64, -4*b = 3*c - 48. Let u(l) = -3*l**3 - 3*l**2 - 6. Determine b*y(n) - 5*u(n).\nAnswer: -3*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 4*g + 11 = 0, -2*m - 2583*g - 4 = -2581*g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 133.29268 to one dp.\nAnswer: 133.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**2 - 2 - m**2 + m**2. Let g(f) be the first derivative of f**2\/2 - 2. Give q(g(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(1300) + 1)**2 + -1 + 3*(-3*sqrt(1300))**2)*2*-3.\nAnswer: -218400 - 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 603.5301s to milliseconds.\nAnswer: 603530.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -10952*z - 4189*z + 604*z - 1418*z in the form n*z + g and give n.\nAnswer: -15955","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -11*t - 7. Let m(f) = -128 + 281*f - 282*f + 127. Determine -42*m(s) + 6*o(s).\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -14*t - 168. Let f be k(-13). Let d(w) = w**2 - 11*w - 20. Calculate d(f).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61836.47mg in micrograms?\nAnswer: 61836470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((0 + sqrt(3))**2 + sqrt(3) + -2 - (sqrt(3) + sqrt(33)\/(sqrt(22)\/sqrt(2)))**2)*-1.\nAnswer: -sqrt(3) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134753, 539651, 1214483, 2159249, 3373949, 4858583?\nAnswer: 6613151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*x + 24 + 221 = 0 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5 + (1 + sqrt(108))**2.\nAnswer: 12*sqrt(3) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12a41 + -10a3?\nAnswer: -13b24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.4 + -1.2. Which is the closest to 2? (a) -1\/2 (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1220\/183*(-36)\/(-88)?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 13 = -2*h - 0, 3*n + 2*h = 11. Let z(a) = -a - 2 - a + a**2 - n. Let y be z(8). What is the highest common divisor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 799394819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100110 + -1101110101010?\nAnswer: -1110001010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.077061 to four dps.\nAnswer: 0.0771","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-493)\/(-116) + 3\/(-12). Suppose 0*u = 3*u + 126. Let f = 62 + u. Solve 0 = -5*j + z + 1, w*j + 4*z = -0*j + f for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/((-264)\/90) + (-12)\/(-48).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-4))\/((-1)\/6). Let h = 199640.4 + -199640. Let y = 0.06 - 8.06. Which is the fourth smallest value? (a) h (b) y (c) l (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 8526891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.01208, 1\/3, -0.704?\nAnswer: 0.01208","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3384702*h - 1692351*h - 1692354*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 2629.3321 to the nearest ten.\nAnswer: 2630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*w - 3008 = -98*w for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-6)*(3 - (-714)\/(-280)). What is the second smallest value in v, -15, 3, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 4*b**2 - b - 5. Give c(6).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m - 3. Let p be k(-4). Let w = -10 + 0. Let l be 4\/w - (-257)\/p. Calculate the greatest common divisor of 17 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -18. Suppose t*r - 2465 = j - 4*r, 0 = -3*j - 3*r - 7395. Is j\/(-20) - 2\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5466.509 weeks?\nAnswer: 918373.512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 17 = 2*v - 0*v, 0 = 5*v + 5. What is the first derivative of 3*g**3 - 2*g**2 + 2*g**2 - w + 5*g**3 wrt g?\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3325 = 6*n + 2009. Let r = -169 - n. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1313 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**6\/960 + 13*x**5\/160 - x**4\/192 - 13*x**3\/16 + 135*x**2 - 7*x. Determine d so that p(d) = 0.\nAnswer: -39, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 + -25. Let l = 17 - a. Is 2 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkgkkqkm. Give prob of sequence mmq.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 378.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 0*a**5 + a**2 + 16 + 0*a**6 + 39\/7*a**7 + 0*a**4 + 0*a + 25*a**3. Find the third derivative of c(n) wrt n.\nAnswer: 4680*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -60, -74, -114, -192, -320, -510?\nAnswer: -774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 866, 1739, 2618, 3503, 4394, 5291, 6194?\nAnswer: 7103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -a0064?\nAnswer: -a0062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/647 or 61\/6?\nAnswer: -1\/647","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159862*t + 175*t**2 + 159862*t.\nAnswer: 175*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2, -6, -12, -20?\n\"Answer: -q**2 - q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 53*u + 1962. Let y(m) = 15*m + 654. Determine 2*d(k) - 7*y(k).\nAnswer: k - 654","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*w + 125. Let c = 794 + -809. Let h be 273 + 76\/(-570) + (-32)\/c. What is the highest common factor of h and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*z = -184 - 287 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1584 divide 203536737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1544.23969 - 0.06031. Let k = -1420 - b. Let n = k + -114. What is n rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 7*w + 2. Let l(x) = -22*x - 7. Let m(z) = 3*l(z) + 8*r(z). Differentiate m(t) wrt t.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 4:17 AM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*y - 4 = 0. Let w be (20\/(-12))\/(2\/12*2). Sort y, w, -2.\nAnswer: w, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 8*n - 15. Let s be y(-10). What is the derivative of -2*z**2 - s*z + 7*z + 259 - 67 + 7*z wrt z?\nAnswer: -4*z + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -8, -d + 108 = 2*m - 314. Find the third derivative of d*j**2 + 3456*j - 3456*j + 28*j**3 - 4*j**4 - 168*j**2 wrt j.\nAnswer: -96*j + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404837314.\nAnswer: 2, 7, 71, 83, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 842548485 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/55 and (-48)\/(-912) - 4564\/77330.\nAnswer: 2035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, 1\/8, -0.2, -2, 1\/9 in increasing order.\nAnswer: -2, -0.2, -0.09, 1\/9, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 - ((14 - -2) + (18 - 5))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (2 - (1 - 1)) - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77 - 67. Let y(o) = -h*o + 4*o**2 + 23*o - 18*o + 4 - o**3. Give y(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 527525?\nAnswer: -527532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2 = -0. Suppose -4*c + 2*c - k = -2, 4*k = 5*c - 5. Let b = -16 + 19. Sort b, u, c in decreasing order.\nAnswer: b, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 9:44 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/63)\/((-1)\/(420\/20))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 100200025 = -2*g, -67234863 = 3*g - 5*a - 217534888. What is g rounded to the nearest one million?\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -128 (b) 3\/7 (c) -3 (d) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4208 + 6169. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 2, q: 1, f: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -81*s**3 - 42*s**2 + 4*s + 4. Let z(c) = -2*c**2 + c + 1. Let y(j) = -k(j) + 4*z(j). What is the third derivative of y(w) wrt w?\nAnswer: 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 + (4 - (1 + 14)\/(-3)). Solve 2*x + x = -v*g + 6, 2*x - 11 = -5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416057?\nAnswer: 563, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuxuxdfxud. What is prob of sequence dux?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11357 - 4?\nAnswer: -11362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1233989.385 rounded to the nearest 10000?\nAnswer: 1230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -31. Suppose -z - 4*z + 15 = 0, 0 = -4*y - z + i. What is the greatest common factor of 4 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 115 by -151.\nAnswer: -115\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 0. Let v(i) = i + 3 + w + 1. Suppose -j = 4 + 2. Give v(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2. Let m(j) be the first derivative of j**4\/12 + 23*j**2\/2 - 45*j - 75. Let y(n) be the first derivative of m(n). Give v(y(s)).\nAnswer: -2*s**4 - 92*s**2 - 1058","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 20 = -6*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/2 + (-400)\/(-32). List the prime factors of 0\/2 - (c + -170).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5078950?\nAnswer: 2, 5, 157, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -17*f + 6. Let j(o) = o**2. Let q = 40 + -41. Let u(v) = q*w(v) - 3*j(v). Let p(h) = h**2 - 6*h + 2. Give 11*p(i) + 4*u(i).\nAnswer: -i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 17745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16129, -16122, -16105, -16072, -16017, -15934, -15817, -15660?\nAnswer: -15457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**2*l**2*u - 80247*f**2*l**2 + 20*f*l**2*u - f*u - 31*l**2 wrt f.\nAnswer: -2*l**2*u - 160494*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*d = 2110 + 266 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 12 = -243. Let f = 38 + n. Let z = -4 + 3. Which is the closest to z? (a) -0.4 (b) f (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + v**2 + 2. Let i be 1\/2*(5 - 5). Let q be o(i). Let a(t) = 4*t + 1 + 6*t - 2. Let u(f) = -2*f. Give q*a(j) + 11*u(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 14*g - 2223 = 0. Calculate the lowest common multiple of 15 and g.\nAnswer: 11115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*82367.1\nAnswer: -82367.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-177)\/(-45) + -4)*-3.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 31. Suppose -k = -2*p + 229, 0 = -2*k + 7 - 13. Calculate the remainder when p is divided by v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from jijjeijieijiijjiji?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(700)*2)**2 + (2*sqrt(84))\/sqrt(12)).\nAnswer: -16800 - 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190)\/(-2*sqrt(5)))\/(2*sqrt(2)*-2))**2.\nAnswer: 19\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -53.\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -14, -52, -128, -254, -442, -704?\nAnswer: -1052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -14.4*500\nAnswer: -7200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -475*u**3 - 71*u**3 - 3391*u + 952*u + 10*u**3 wrt u?\nAnswer: -3216*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144 (base 6) to base 13.\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -112964, -225220, -337476, -449732, -561988, -674244?\n\"Answer: -112256*f - 708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**4\/3 - 1182*s**3 + 501096*s**2 - 5967014*s\/3 + 1489091 = 0. Calculate s.\nAnswer: -3929, 1, 3, 379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 255528 and 27300?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.32 and -0.1.\nAnswer: 0.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = 45*z - 22*z. Suppose 0 = z*h - 1348 - 3932. Does 55 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w**2 - 4*w**2 + 0*w**2)*(-4*w**3 + 6*w**3 - 4*w**3) + 3*w**5 - 3*w**5 + w**5.\nAnswer: -3*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 29012151 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 7 + 11. Suppose m = i*y - 9, 7*y - 4*y = 9. Suppose -2*p + j + 5 + 0 = 0, 0 = m*p - j - 7. Solve -n + p = -1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 4*j - 13 - 9, 4*j - i - 10 = 0. Suppose 11*y + 2405 + 59 = 0. Let q = y + 231. Solve j*a = 2*s - q*s + 6, 5*s = 2*a - 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/1)\/(3*(-8)\/12)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 785138.\nAnswer: 2, 392569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 5*r = 2*b - 31, 0 = 3*b + 2*r - 19. Solve 5*l + 1 = 2*n, -b = l - 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 23. Suppose -3*a + 2*r = -43, 3*r + r = -8. Suppose -a = 3*v - 4*v. What is the remainder when v is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 39994013.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 1 = -5*r, -6*r - 3*f = -5*r - 11. Let g(u) = 6*u**2 + 3*u**3 - u + 10 - 19*u**2 + 8*u**r. What are the prime factors of g(3)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.99821+-1.35\nAnswer: -4.34821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -137, -1, -4, -3, 20 in descending order.\nAnswer: 20, 3, -1, -3, -4, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 - 0.74. What is the second biggest value in 5, -1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - m + 102 = 0. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqyyyqy. What is prob of picking 3 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 7:30 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2883, -5770, -8657, -11544, -14431?\n\"Answer: -2887*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*m - 1467 = 200*m + 4875 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 4:21 AM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -282*w + 1746. Does 18 divide c(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 674*j + 906*j - 2367 = -82947 for j.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/400 and -121\/400?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*h + h**2 + 9*h**2 - 330 + 325 - 10*h**2 + 11*h**3 as y + p*h**3 + v*h**2 + t*h and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3979*u - 3940*u + 2 + 1)*(-3 + 2 + 3).\nAnswer: 78*u + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 11, c: 5}. Give prob of sequence cqc.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 226*j - 51075. What is u(226)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 13) to base 9\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 7*u - 16 = 5 - 8, u - 165 = 12*a + 32 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1037*h*i**3*n**2 + 126*h*i**3*n + 2*h*i**2*n + h*i**2 - 48790*h*i*n**2 + 2 wrt i?\nAnswer: -6222*h*n**2 + 756*h*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4545 is divided by 2237.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8488.6307 * -1.\nAnswer: -8488.6307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3643244856?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - -3*(-5)\/(-3). Suppose 3 = -3*r + 15. Suppose -6*d + 2*d + r = 0. Sort 4, g, d in ascending order.\nAnswer: d, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 29080, -90 in ascending order.\nAnswer: -90, 2, 29080","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1077681285?\nAnswer: 3, 5, 1367, 17519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q + 45. Let l be i(14). Let w be (4\/(-3))\/(l + (-195)\/63). Suppose -2*b - w*b + 912 = 0. Does 19 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2032 and 14.\nAnswer: 14224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - d = -20*d. Solve 5*j + 5*s - 4 - 1 = d, 0 = -3*j - 2*s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjk when three letters picked without replacement from {j: 3, k: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-297 - -294) + 1\/(12\/64) + 4 + -6\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22172147 is divided by 886?\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p - 58 = 118 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 891*x - 1208. List the prime factors of j(8).\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -405 + 394. Find the common denominator of p\/(44\/102) + (-1 - -3) and -83\/420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/1787800 and 54\/605.\nAnswer: 216323800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 34 - 50 = w, 3*w + 59*f + 107 = -77 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19408200?\nAnswer: 2, 3, 5, 7, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -92, -829, -2060, -3791, -6028?\n\"Answer: -p**3 - 241*p**2 - 7*p + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 449975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 12:37 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*r + 0*r = 3, -2*h - 6 = -4*r. Suppose -o - 4*q = -10, -o + 4 = -h*q + 8. Let x be (16 - 15)*102\/o. Which is smaller: 52 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1270120, 1270117, 1270114, 1270111, 1270108, 1270105?\nAnswer: 1270102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = b, -5*b - i + 5*i - 34 + 58 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001745 rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -1434.1217, -5, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -a**5 + 5*a**4\/2 - 5*a**3\/3 - 216. Factor r(l).\nAnswer: -5*l**2*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131 divided by -94\nAnswer: -131\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 800849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = -6*u + 17*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 89 + 16a7e1?\nAnswer: 16a86a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34\/503 + 605\/1509. Determine b, given that -1\/3*b**3 + 3*b**2 + k*b - 3 = 0.\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/4 (b) 2\/3 (c) -5 (d) 16 (e) 1600 (f) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 x, and 1 h when three letters picked without replacement from {x: 2, m: 1, h: 1, w: 4, g: 4, q: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -111875.713 * 0.1\nAnswer: -11187.5713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1012\/207 + (-7)\/(-63). Let f = -5 + 11\/2. Which is the closest to 1? (a) 4 (b) f (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 51.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3468788386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (385\/583)\/((-3325)\/(-285)).\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34512727103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.53282 rounded to 2 decimal places?\nAnswer: -2.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/7? (a) -2 (b) -6 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3025) + sqrt(3025)*2)*1)\/(sqrt(10)\/(sqrt(90)\/sqrt(5))).\nAnswer: 99*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*-1*(-21)\/14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.8 - -0.8. Let y = -3.1 - -0.1. Let s = y - -2.6. Put s, 4, t in descending order.\nAnswer: 4, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 + 2*g**2 - 2*g**2 - 3*g**2.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from ahhhhahhhha.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 135730199?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*o + 5*n - 0*n, -5*o = n - 34 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.3966576 millennia?\nAnswer: 39.66576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13198 - 6589 + 13*m**3 - 6587 to b*m**3 + a*m + g*m**2 + k and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 230567058?\nAnswer: 1152835290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 21 = 4*h. Let o(k) = -k**2 + 6*k - 6. Let w be o(h). Suppose f = -5*j + 117, 0*j + w*f - 111 = -5*j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0414 + -0.4586. Let h = -43 - -41. What is the closest to h in -5, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -481192, -962385, -1443578, -1924771?\n\"Answer: -481193*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.079 + -1.039. What is the third biggest value in i, 3, -2, 9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -52 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.1431039 meters?\nAnswer: 143.1039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 28 - 23 + 5*c - 7*c + 5*c - 2*c. What is p(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2052, -3, 5 in decreasing order.\nAnswer: 5, -3, -2052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-440) + (-140)\/275.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 2*y - 2. Let v be a(0). Let q(o) = -3*o. Is q(v) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7420.\nAnswer: 2, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 445835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1190509149*p**6 - 1426297146*p**2?\nAnswer: -142861097880*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 141*l - 4636. Give u(-87).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.46 - -0.16. Let n = -0.1 + 0.2. Let u = -18 + 18. Which is the closest to n? (a) u (b) 3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -2. Let h = -14 - w. Suppose h*v - 495 = 93. What is the highest common divisor of v and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 421 * 230994\nAnswer: 97248474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148485.\nAnswer: 3, 5, 19, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*p - 20 = 0, 3*y = 4*p - 15 - 1. Suppose -24 + 9 = 5*i. Let g be ((-1)\/i)\/(36\/45). Which is greater: y or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -390 from 118.\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5811+-0.06902224933\nAnswer: -5811.06902224933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3768, 1, 162 in ascending order.\nAnswer: 1, 162, 3768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*j + 2*j + 54. Suppose -28 = j*i + v, -12*i + 5*v = -8*i + 84. What is the second biggest value in -1, -0.1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 2*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 9:08 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*4\/12*(-2 + 2). Factor 2\/3*f + 2*f**3 + 2*f**2 + b + 2\/3*f**4.\nAnswer: 2*f*(f + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 12*q - 9. List the prime factors of m(8).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74510\/7 - 10620. Is 25 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 1. Let p(h) be the second derivative of -h**5\/120 - h**4\/12 + 5*h. Let s(g) be the third derivative of p(g). What is s(y) + u(y)?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t**5 - 8139*t**4 - 307407*t**3 - 2936805*t**2 - 1823658*t = 0.\nAnswer: -19, -17, -2\/3, 0, 941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 6*f + x + 6, 4*f - 16 = 5*x for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -501*b**5\/10 + 2*b**2 + 1435*b. Let t(y) = -2*y. Give t(o(n)).\nAnswer: 6012*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-477)\/159*(-2)\/(-30)*-11?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 8*j - 12. Let s(h) = -h**2 + 8*h + 27. Let n be s(10). Let m be a(n). Suppose 0 = -c - c + m. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41703*u + 247386 wrt u.\nAnswer: -41703","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*n - 1155 + 8877 = 41*n + 20*n for n.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1323 = 55*d - 6*d - 196 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + i + 1. Suppose -18*q - q = -76. Suppose u = 5*u - 4*n + q, -5*u = -4*n + 6. Determine p(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4168176?\nAnswer: 2, 3, 86837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -1441*h**3 - 291*h**3 + 2*h + 0 + 1 + 4*h**2 - 2*h**2. Let q be 16\/(-14) - 5\/(-35). Is j(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 5 - 5)*(-256 - 141*y + 256)*(-6*y - y**2 + 6*y) as a + g*y**2 + z*y**3 + d*y and give z.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1062\/118*((1*-1)\/(-2))\/((-576)\/(-2816))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is (63\/189)\/(1\/2307) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.05, 0, 1\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7))**(-1\/2)\/((n*(n**(-2\/9)\/n)\/n)\/((n*n**(-5)\/n)\/n)) assuming n is positive.\nAnswer: n**(-310\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2\/3 - 269600*w\/3 + 539248.\nAnswer: -4*(w - 6)*(w + 67406)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/2 - 8097*t + 21853803\/2.\nAnswer: 3*(t - 2699)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - 1647?\nAnswer: -1655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = -4*w + b - 81 + 80, -4*b - 24 = 5*w + 77 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/((-14)\/(-35)) - -71. Suppose -4644 = 57*y - i*y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 884.9892 meters in millimeters?\nAnswer: 884989.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.194 or -306062?\nAnswer: -306062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-185)\/65 - 84\/546.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -296301 + -1206?\nAnswer: -297507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 11 = -c - 0*y, y + 9 = c. Solve 0 = -c*q - 7 + 17 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153735 is divided by 8359?\nAnswer: 3273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 155 and 40?\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(48) + 5 + -2)**2.\nAnswer: 48*sqrt(3) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -501870, -501838, -501776, -501678, -501538, -501350?\nAnswer: -501108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 294 and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 104\/12)\/(512\/6144)?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5551 a factor of 155567683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1195896 and 504.\nAnswer: 25113816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 37819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/12 + 47*p\/6 - 31\/4.\nAnswer: -(p - 93)*(p - 1)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwqqw. What is prob of sequence wq?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -260\/87?\nAnswer: -260\/87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 117 + -117. Solve -5*m + 5*i = y, 4 = 3*m - i + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 10:51 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -254 or -258?\nAnswer: -258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1211*-0.055.\nAnswer: 66.605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 12*u + 36. Let m be v(4). What is the third derivative of 800*f**3 - m*f**2 - 670*f**3 + 190*f**2 wrt f?\nAnswer: 780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -9*p**2 + 2 + 0*p**3 - p**3 + 13*p**2. Determine k(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 757?\nAnswer: -763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b - 39 = -4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 32929.6nm?\nAnswer: 0.0329296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -18*v**5\/5 - v**4\/4 - 586*v**3\/3 - 348. Find the third derivative of t(u) wrt u.\nAnswer: -432*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -10, 2*x + 4*z = 6*x - 1184. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*x - 58, 16268*x + 76 = 16272*x. Let l(q) = -25*q + 4. Calculate the remainder when l(-3) is divided by z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 769*b + 4 = 765*b, 2*l + b = -4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**2 + 13*p - 7*p + 714 - 5*p - 3*p in the form y + m*p**2 + c*p and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.42 - -1.46. Let r = 1.29 - m. What is r rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12 - 6)\/3 - 21057102\/5900. Let m = p + 3567. Let d = -17997\/5900 - m. What is the common denominator of -119\/6 and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -81*((-4)\/(-16))\/(33\/88*2).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51348, -51081, -50624, -49971, -49116, -48053, -46776?\nAnswer: -45279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3 + 9 = 0. Suppose 5*t = -w*b - 1270, 0 = 4*t + t - 3*b + 1270. Let q = -42 - t. List the prime factors of q.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1035 and 897?\nAnswer: 13455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3207047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 67844250 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(336)\/(sqrt(8) + (sqrt(8) - ((sqrt(72) - sqrt(72)*-2 - sqrt(72)) + sqrt(72)))))\/(1*-1*sqrt(96)) + 3).\nAnswer: 3*sqrt(7)\/28 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 606338?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**3 + 8*r**3 + 5*r**3 + (-2*r + r + 2*r)*(2 + 2*r**2 - 2 + 2*r) in the form s*r + w*r**2 + u + l*r**3 and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11428 * 0.1.\nAnswer: 1142.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 826 and 816206.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h = 5*i + 9, 4*h = -2*i + 36. Suppose -2*g + w = -h, -2*w - w = -3*g + 24. Let d = 18 + -12. Solve -g*x - 12 = -d*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s - 4. Let t be m(3). Let u be 156\/(-15) + t\/5. Is 11 a factor of (14\/(-5))\/(2\/u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, q: 3}. What is prob of sequence qqr?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-216)\/24*286\/99\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34964532?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 31020\/495*3*2\/92 - 4. Which is the nearest to 1\/2? (a) -0.3 (b) 1\/8 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 10*w**2 - 11*w + 14. What is the smallest common multiple of ((-6)\/(-3))\/((-3)\/(-6)) and n(-11)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*a - 846 = -0*a, 0 = 2*o - 3*a - 841. What is the third derivative of -o*q**2 + 75*q**3 - 21*q**3 + 419*q**2 - 8*q wrt q?\nAnswer: 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + a**2 + 2. Let p be v(-2). Let s = p - 1. Let j = s + 15. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-5)\/10*7\/7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.5 - 5. Let x = -3 - m. Let n = x - -2. Sort 1\/5, n, -1\/10 in increasing order.\nAnswer: -1\/10, 1\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1330914 a multiple of 226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1302*j + 208*j - 99424 = 1211*j - 393*j for j.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129225, -258451, -387677, -516903, -646129?\nAnswer: -775355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 125690 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*i - 1)*(-70 - 673 - 1365).\nAnswer: 6324*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 32. Let g be 1\/(-2) + y\/4. Solve -g*s + 2*s = 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = -7*o + 43420. Let l = o + -1953. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 229 = 3*f, 3*x + 0*f - 162 = f. Let l = -38 + x. Calculate the greatest common factor of 17 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 3180?\nAnswer: 3175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17162 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33804 is divided by 8443?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -477 + 519. Calculate the highest common factor of 30 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence foll when four letters picked without replacement from {r: 1, f: 1, o: 1, l: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8.3622385 and -0.2.\nAnswer: -8.5622385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -137*p**2. Let t(u) be the third derivative of u**4\/12 + 2*u**3 + 2*u**2 - 424. What is n(t(q))?\nAnswer: -548*q**2 - 6576*q - 19728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 11, 3, -7, -19?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1946)\/(-12)*66\/2772 and 32\/3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278.178427 rounded to zero decimal places?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * 9442292\nAnswer: 472114.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {u: 2, a: 1, q: 1, h: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2719 (base 12) to base 14.\nAnswer: 18c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.275 times -20.1\nAnswer: 5.5275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 56780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 17 + 11 = 0. Sort 1, -3, l in ascending order.\nAnswer: -3, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 78068810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29 (base 10) to base 16.\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 163 - 140. Let k be (5 - 6)*j - (3 + -4). Which is the third smallest value? (a) 2 (b) -3 (c) 0.1 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720)*-2 - sqrt(720))*3)**2 + 4 + -4 + -5 + -2*sqrt(720)*6 + -4.\nAnswer: -144*sqrt(5) + 58311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 1:25 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7*(1 - (-4)\/(-2)). Let i be (-194)\/d - (-18)\/63. Calculate the highest common divisor of 70 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 375 - 375.762. Let r = m + -0.238. Suppose -g = 2*l + 25, -l = -3*l - 2*g - 20. Is l equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1))**(-32)*(o\/(o**(-2)*o*o))\/(o**(1\/2)\/o))**(4\/17) assuming o is positive.\nAnswer: o**(6\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*l**5 + 14410*l**4 + 949968*l**3 - 12686616*l**2 + 43675200*l - 45360000 = 0 for l.\nAnswer: -150, 12\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + (-18)\/(-30))*25\/(-10). Which is the closest to 2? (a) 3 (b) n (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from {g: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gppggg.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - x = -24. Let t = 13 - x. What is the smallest common multiple of t and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 303 - -1213?\nAnswer: 2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6e16 (base 15) to base 10\nAnswer: 23421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h**2 - 15*h + 11. Let f(t) = -3*t**2 - 8*t + 6. Let u = 8 + -19. Let x(w) = u*f(w) + 6*r(w). Give x(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.01, 114, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76 + 91. Calculate the greatest common factor of 15 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 y when three letters picked without replacement from {b: 3, y: 2, m: 3, p: 1, u: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6104, -6121, -6138, -6155, -6172, -6189?\n\"Answer: -17*y - 6087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 193706, 193722, 193748, 193784, 193830, 193886?\n\"Answer: 5*u**2 + u + 193700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 187 and 110?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 2 + 2\/2. Suppose 4*f + 1 - 5 = v. Let m = f - -3. What is the highest common divisor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 6:08 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 + 1582*g**2 + 6341*g + 4758.\nAnswer: -(g - 1586)*(g + 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -1267 - -1287. Solve -4*s + m = -0*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 6329*o**8\/336 + o**4\/2 + 8*o**3 - o**2 + 9*o - 122. What is the second derivative of t(i) wrt i?\nAnswer: 126580*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468341 is divided by 764?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72 - -54. Which is smaller: o or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.184 and -737.\nAnswer: -135.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10567482109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125 divided by 1.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-3))\/((-348)\/(-2088)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 9:35 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*u = -5*x + 132*u - 28, -4*x - 5*u - 6 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6672 is divided by 267?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eh when two letters picked without replacement from eihieieiheifi?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**2\/5 + 10077*i - 45783252\/5 = 0 for i.\nAnswer: 964, 15831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**4 + 6*x**3 - 13*x**2 + 2*x - 2. Let n(r) = r**4 - 2*r**3 - r**2 - r + 1. Let w(g) = -6*n(g) - 3*q(g). Factor w(y).\nAnswer: -3*y**2*(y - 3)*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 5*k - 2. Let p be w(-2). Let r(h) = -1309*h**2 + 4*h - 3*h - 79*h**3 + 78*h**3 - 1319*h**2 - 4 + 2633*h**2. What is r(p)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.123504 rounded to 2 dps?\nAnswer: 4.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 9:04 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 431005553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2. Let h(b) = -b - 1. Let v(w) = w**2 + 7*w + 7. Let o(c) = -35*h(c) - 5*v(c). Calculate o(a(y)).\nAnswer: -5*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**5\/60 - 9*s**2\/2 + 7*s. Let h(f) be the first derivative of i(f). Let z(k) = 26*k. Give h(z(j)).\nAnswer: -676*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 - 1)*(-1 + d + 1)*((-3 + 2*d + 3)*(2*d + 3*d - 4*d) - 8 + 8 + 3*d**2).\nAnswer: -30*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*m + 125 = -204*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -91, -104, -141, -214, -335, -516, -769, -1106?\n\"Answer: -2*j**3 + j - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -3\/5*g**5 - 21\/5*g**2 + 0*g + 12\/5 + 3\/5*g**3 + 9\/5*g**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 154, 350, 628, 994, 1454, 2014?\nAnswer: 2680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**2 - 3*m - 4. Let i be g(-1). Suppose 6*w = i*w. Which is smaller: w or -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -22477.\nAnswer: -44954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2686, 2762, 2886, 3058, 3278, 3546?\nAnswer: 3862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1120509 + -0.852.\nAnswer: -1120509.852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 53024 divided by -2415?\nAnswer: -53024\/2415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 128995771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 7*v**2 + 9*v + 11. Give f(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * 5.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2145*i**2 + 2447*i**2 - 5791*i**2.\nAnswer: -1199*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.07 - -0.07. Let y = w - -8.8. Let v = 387\/500 + -3\/125. What is the nearest to y in -2\/3, v, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32.6*5\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 5:05 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8437507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2055 by -411.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -187189 divided by 738?\nAnswer: -187189\/738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59545030?\nAnswer: 2, 5, 83, 71741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**5\/15 + 2*n**3\/3 + 4*n**2. Factor w(f).\nAnswer: -4*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2105, 5, -1, 0 in decreasing order.\nAnswer: 5, 0, -1, -2105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010000000110010001 (base 2) in base 4?\nAnswer: -1100012101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*d - 114 = -8*m, 2 = d. Suppose -5*l + 2*y = 6*y - m, -5*l = 3*y - 23. Let k(r) = -2*r - r - 5 + 4*r. What is k(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102892112 by -154958.\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**3 - 16*m**3 + 129*m - 2*m**3 - 110*m + 189*m to the form d*m**2 + i*m + c*m**3 + f and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (3 - 0) + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 8*z + 3*z - 13*z - 4.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 8*a**3 + a**2 - 14*a + 24. Let w = -2 - -7. Suppose w*r = 2*r + 51. What is the remainder when q(2) is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, -0.5, -1322059 in decreasing order.\nAnswer: 6, -0.5, -3, -1322059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1391.656mm in kilometers?\nAnswer: 0.001391656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.7 < 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3021507.\nAnswer: 3, 113, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -408 and -81.\nAnswer: 33048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -4. Let t = 1078 - 1076. Suppose t*r + 2*m - 90 = o, -25 = 2*m + 3*m. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -822 - -826. Let s(y) = 19*y**3 + 21. Let x(u) = -17*u**3 - 29 + 7 - u**3. Let a(o) = i*x(o) + 3*s(o). What is the derivative of a(q) wrt q?\nAnswer: -45*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 14, x: 4}. Give prob of picking 3 s and 1 x.\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*l = -32*l + 64 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 3c2863?\nAnswer: 3c2862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 187 - 356 + 41*q + 126 + 307*q + (q - q - q)*(-3 + 1 + 1).\nAnswer: 349*q - 43","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/7, -2\/3, -0.3, -5.7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*g**2 - 6*g**2 + 321*g**2 - 37*g**2.\nAnswer: 168*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5378451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000084936 to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jv when two letters picked without replacement from {w: 9, v: 3, j: 4}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*w**2 - 16*w + 30*w**2 - 21*w - 23*w + 58*w.\nAnswer: 55*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-720)\/270)\/((-8)\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0*z = -5. Suppose 5*v + z - 35 = 0. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 4, -3996, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r**4 - 3*r**4 - 186 + 556*r - 725*r**2 + 173*r**2 + 180*r**3 - 6*r**4 = 0.\nAnswer: -93, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -8 - (-6 + -436 + -5 + 6) is divided by 104.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -947 - -947. Let g(t) be the third derivative of 1\/60*t**6 + 0*t + 4\/3*t**3 + z - 1\/3*t**4 - 1\/30*t**5 - 10*t**2. Find a such that g(a) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/21 (b) 1 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 0.5 (c) 2 (d) 7\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 6. Let k = -11 - t. Let d = 4 + -2. Which is the third biggest value? (a) k (b) -4\/7 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24675404100 to the nearest one million.\nAnswer: 24675000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.19 - 0.11. Let h = -693 - -808.2. Let r = h - 115. What is the smallest value in j, r, -0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b, 3*b = 6*v - v - 30. Suppose -v*z + 5*z = 0. Suppose -2*w - 5*r = z, -3*r + 1 = -2*w + 33. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3648)\/112 + 3\/(-7). Let c be (-12)\/6 + (-72)\/l. Factor c + 0*a**2 - 4\/11*a**3 + 4\/11*a - 2\/11*a**4.\nAnswer: -2*(a - 1)*(a + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000698 rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (18935\/(-10)*-1*-4)\/(-1).\nAnswer: 2, 7, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*f - 20. Let u be 2\/(-4) + (-91)\/(-2). Let j = u - -25. Calculate the highest common factor of j and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0*(-6)\/(-54))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108)\/sqrt(4) + (sqrt(36)*-1)\/sqrt(12) - (sqrt(33)\/((2*sqrt(88))\/sqrt(8))*-4)**2.\nAnswer: -12 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 19 (b) 0.02 (c) 3\/65 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 114475?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9039.\nAnswer: 3, 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -11*k + 5. Let y be n(0). Solve v + 3 = 2*a, -y*a = -v - 2 - 10 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -12137, -60 in increasing order.\nAnswer: -12137, -60, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 6057*a**4\/2 + a**3\/3 + 15*a**2\/2 - 15*a + 26. Is b(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**5\/5 + 34*g**4\/5 + 71*g**3\/5 + 36*g**2\/5 = 0.\nAnswer: -1, 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 3*z - 681, 4*z - 658 + 110 = -4*a. Let k be (-1 + -1)\/((-1)\/44). Let v = a - k. Is v 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 408841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/9*2*6. Let z(u) = u + 7. Let f be z(x). Factor f*h**2 + h**3 + h**2 - 3*h**3 - 2*h.\nAnswer: -2*h*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 3*g + 3. Let r be b(2). What is the closest to -1 in -5, r, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = o + 4*u - 23, 5*o = -u + 20. Suppose -2*b - b = -c - 13, -o*b = -2*c - 11. Let h be ((-10)\/(-15))\/(c\/6). Let x(n) = 2*n**3 + 2. Determine x(h).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2202137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -449590*h**5 + 3*h - 89244?\nAnswer: -8991800*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 + 6 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55608 and 21592?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 9*j - 12. Let y be d(-10). Let l(r) = r**2 - 2*r + 1. Let v be l(y). Suppose -v*c = -4*c. Which is smaller: -3\/4 or c?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -440, -3520, -8654, -15842, -25084, -36380?\nAnswer: -49730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 450551\/36630 - 1\/18315. Calculate the common denominator of m and -56\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -23. Solve -3*m + 3*i - 5 = 2*i, 0 = m - 3*i - b for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28560 to the power of 1\/2, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(2\/13)\/n)\/n**4)**(37\/5))**26 assuming n is positive.\nAnswer: n**(-740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 7*x + 12. Let g be m(9). Let j = g - 45. Let d = j - 28. Solve z = d*z + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -761*t - 766*t + t**3 + 1527*t - 5*t**2 in the form x + a*t**2 + y*t**3 + i*t and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 15) to base 10\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1876*i - 2851 wrt i?\nAnswer: -1876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -21 - 11. What is the smallest common multiple of 96 and l?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19668 + -17889. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 803 - 808. Which is the nearest to -2\/9? (a) -1\/4 (b) -5\/4 (c) q (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*k - 9. Let z be (-52)\/(-12) - (-2)\/(-6). What is the units digit of z*-1*(-22)\/k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + (sqrt(156)*1 - sqrt(156)) + sqrt(156) + sqrt(156))*6)\/((sqrt(12) - sqrt(48))*-5).\nAnswer: 18*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0308, 3, 5, 4 in decreasing order.\nAnswer: 5, 4, 3, 0.0308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -96da8 (base 16) to base 11.\nAnswer: -392264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/9 + 1144*m**2\/3 - 1146*m.\nAnswer: 2*m*(m - 3)*(m + 1719)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 15 = -3*k, 2*r + 2*r + 2*k = -12. Let v = r - -9. Suppose 0 = v*g - 8*g + 4. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -5, -452059, -2 in decreasing order.\nAnswer: 26, -2, -5, -452059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3467677, -3467690, -3467711, -3467740, -3467777?\n\"Answer: -4*c**2 - c - 3467672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 763 is divided by 78.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f - 4. Let w be k(-4). Let z = 13 + -8. What is the closest to 1\/3 in 2\/13, z, w?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uhhhruhhhrrh. Give prob of picking 1 u, 1 h, and 2 r.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i - 7*i - 100 = 0. What is the least common multiple of i\/(-35) - 46\/(-14) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8423 times -13\nAnswer: -109499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 784362522.\nAnswer: 2, 3, 19, 61, 149, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q + 42. Let s be r(-17). Suppose h + 4*x = 4, -3*h + 4*h + 5*x = 5. Suppose -4*w + h*w + s = 0. List the prime factors of w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2 (b) 0.2 (c) 0 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 154553.9706 to the nearest 1000.\nAnswer: 155000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*(4 + 15 + -18). Suppose 6*d = 3*u + 4*d - 7, -4*u = -d - 11. Solve -5*g + 4 = -u*k - 36, g = -w*k - 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 12*g**2 - 2*g - 16. Let b be c(-12). Let m be 9\/12 + (42\/b - -2). Suppose -m*x + 89 + 1351 = 0. Is 45 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -312, -308, -304, -300, -296?\n\"Answer: 4*r - 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + 3*o - 57 + 75, -3*o = -4*l - 17 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21443*f = -21451*f + 120 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**7\/126 - 5*k**6\/72 - k**5\/6 + 5*k**4\/18 + 20*k**3\/9 - 16*k**2. Suppose i(h) = 0. What is h?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ovovv. What is prob of sequence vovo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.81 and 11477?\nAnswer: 11476.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 4, 17, 38, 67?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10112\/8235 - -57459941\/8136180. Let k = -1\/988 + c. What is the biggest value in 1, k, -2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 130, -23, -4, 2, -32 in decreasing order.\nAnswer: 130, 2, -4, -23, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 d when two letters picked without replacement from {h: 4, d: 2, e: 3, o: 5, i: 1, w: 5}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -142217889215?\nAnswer: -142217889212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002675 rounded to 6 decimal places?\nAnswer: -0.000268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (31 - 6) - (-1 + -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-5) - (-39)\/15. Suppose -4*j - 144 = -5*t + t, -r*j = t - 20. Suppose 0 = 3*z - 55 - t. What are the prime factors of z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*0.5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - 6. Let b(k) = -8*k**2 + 4*k - 16. Let m(r) = 13*r**2 - 10*r + 32. Let d(u) = -5*b(u) - 3*m(u). Calculate d(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.4, -0.1, 2\/7, -4.68313, 2 in decreasing order.\nAnswer: 4, 2, 0.4, 2\/7, -0.1, -4.68313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a factor of 547125430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.910847 weeks in days?\nAnswer: 27.375929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2912 + -2913. Sort 363, -3, -2, 2, n in decreasing order.\nAnswer: 363, 2, n, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -3\/2, 1, 2\/23, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1107 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -8528859?\nAnswer: 8528854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 113856817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tept. What is prob of sequence tpt?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.1*-1118\nAnswer: -1229.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.083333 grams in milligrams?\nAnswer: 83.333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3645 and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 - 157*p + 39.\nAnswer: (p - 39)*(4*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 708702?\nAnswer: 2, 3, 29, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(4 + 1*(1 + sqrt(1700)) + sqrt(1700) + sqrt(1700)) + 0)**2.\nAnswer: 10800*sqrt(17) + 551700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06172 and -0.1?\nAnswer: 0.006172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 27586.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1634891 is divided by 272274.\nAnswer: 1247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 18*j**2 - 10*j + 178. Let i(o) = -17*o**2 + 12*o - 178. Let u(c) = -6*h(c) - 5*i(c). Differentiate u(d) wrt d.\nAnswer: -46*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/21 + (-399)\/441. Let f be (-40*(w - 1))\/(1\/(-102625)). What is f rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 16.7?\nAnswer: -16.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 897.\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -720, -790, -850, -894, -916?\n\"Answer: z**3 - z**2 - 74*z - 646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) - (sqrt(190) - (sqrt(190) + -2*sqrt(190)*-2)))\/(sqrt(10) + sqrt(1250)\/sqrt(5)).\nAnswer: 5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/2*(-9)\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2102163.9 + 3171.\nAnswer: -2098992.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2059 and 213?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (493*g**3 + 698 - 698)*(2*g + 63 - 63 - g + 6*g - 3*g - 2*g - 2 + 2 + g - 3*g + 0*g + (0 + 1 - 2)*(g - 2 + 2) - 3*g + 0*g + g).\nAnswer: -1479*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -13\/10*b + 1\/5 + 8\/5*b**4 + 9\/10*b**2 + 4*b**3 = 0. Calculate b.\nAnswer: -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + q - 27 = 0, -1502*x + 1505*x - q = 15 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-165)\/20)\/(189\/270 + (-184)\/320)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -55558*j**2 + 57470?\nAnswer: -111116*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19*j**2 - 18707*j + 1852757.\nAnswer: 38*j - 18707","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 507653080?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1120022211220 (base 3) to base 7.\nAnswer: -10036653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -i**2\/2 - 265. Let r(y) = -7154*y - 539. Let j(s) = -53*s - 4. Let v(l) = 539*j(l) - 4*r(l). Determine u(v(g)).\nAnswer: -49*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 420124611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52447917 is divided by 840.\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(2\/89))**(33\/5)*u**(-46)*u*u*u**(-1\/52) assuming u is positive.\nAnswer: u**(-862449\/23140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.12 - -93.38. Let o = m + -94.6995. Let y = o + 0.2. What is y rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2545 + -2549. What is the third biggest value in l, 0.2, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 6*l - 5. Let j(g) = -93*g - 71*g + 3 + 161*g. Determine -4*d(a) - 9*j(a).\nAnswer: 3*a - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*f**4*t - 6*f**4 + 2*f**2*t + 2*f**2 + 51*f*t wrt f?\nAnswer: 696*f*t - 144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380774.\nAnswer: 2, 190387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -682440 divided by 85305\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (327*2\/4)\/(590\/(437780\/1113))?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7600194 is divided by 50.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13)\/((-104)\/3072) - 11 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-1)*n*n)**(2\/103))**(-2\/27) assuming n is positive.\nAnswer: n**(-8\/2781)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 12*i**2 + 25*i - 29. Calculate a(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -1006*a + 90498. Calculate r(90).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 6, -3, -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 2. Let u be g(-18). Suppose -r + 18 = u. Solve -l - 2*m - 5 = -3*m, 0 = -2*m + r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (19 - (-7 + 13 + -8)) - -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1035 - -1035. What is the second biggest value in -4\/5, d, -0.5, 5.8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 - 43) + -28 - (2 - 32).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(((-30)\/4)\/5). Let o = 12 + 100. Is o\/5 - t\/(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2*(-22)\/(-374).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 366*b + 14. Let w(k) = -5*k - 2. Give -d(y) - 6*w(y).\nAnswer: y**2 + 396*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 117461268 by 171727.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.83 and 28879.\nAnswer: 23969.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*-1*4\/10. Let t be 6\/2 - 2\/l. Let b(g) = g**3 - 4*g**2 - g. Let f be b(5). Solve 9*z - t*z = f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -286 or -1333391?\nAnswer: -286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z**2 - 5*z**2 + z**3 + 5*z - 3 + 2*z - z**2 = 0. Calculate z.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1001 and 4?\nAnswer: 4004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 977170163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 2*d**2 + 2. Let r(s) = 4*s**3 + 13*s**2 + 8*s - 6. Let p(b) = 2*i(b) + r(b). Find the second derivative of p(v) wrt v.\nAnswer: 36*v + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -894 - -898. Let t = 10.8 + -14. Let p = t - -3. Which is the nearest to 1? (a) 6 (b) p (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 352350730 bigger than 352350730?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -27 - (15 - 41) - (-34 + -2 + 3)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 38490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384) - -3*sqrt(384)*2)\/((sqrt(200) - -3*sqrt(200) - sqrt(200))*-1).\nAnswer: -28*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 - 2*d**2 + d**2)*((1 + 1 + 0)*(0*d + 4*d - 2*d) - 3*d - d + 5*d - 6*d - 4*d - d) + 11*d**2 - 11*d**2 + 4*d**3.\nAnswer: 22*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9142 - -9153. What is the remainder when 3107 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0041001 rounded to four decimal places?\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -9544*h - 3361. What are the prime factors of a(-3)?\nAnswer: 37, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -655642 and 31.\nAnswer: -20324902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 172922083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -485642 divided by -242821?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 + (-322)\/69?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.6401 and 4.\nAnswer: 18.5604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 + z**3 + 5*z**5)*(0 - 1 - 1) + 18*z**5 + 60*z + 5*z - 78*z.\nAnswer: 8*z**5 - 13*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51495*h**3 - 6367*h**3 + 24700*h**3.\nAnswer: 69828*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - -c7?\nAnswer: ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-10 - (-85)\/95)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -15*a**4 + 1017*a**3 + 1266*a**2 - 1656*a = 0.\nAnswer: -2, 0, 4\/5, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b - 2*b - 3*b)*(34 - 136 + 10)*(2*b**2 + 1 - 1) to the form z*b + k + g*b**3 + y*b**2 and give g.\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 122 or 17426\/143?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**5\/5 + 2*d**4 - 6*d**3\/5 - 26*d**2\/5 + 16*d\/5 + 24\/5 = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331*b = -326*b - 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(2\/(-9)) + -1. Let r be m\/(-20) + 63\/120. Which is the closest to -0.2? (a) -1 (b) -0.4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1084927 is divided by 5897.\nAnswer: 5776","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -dec (base 16) in base 3?\nAnswer: -11220000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h + 2. Is 13 a factor of f(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 14. Let j be z(-10). Suppose 8 + 4 = -j*b. Let v = b - -3. Sort v, -4, -5.\nAnswer: -5, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5363009 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-21)\/(-14)*(-100)\/3225. Which is the third smallest value? (a) -2 (b) i (c) -3 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -71 - 614866.7.\nAnswer: -614937.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, x: 2, l: 2, c: 5, v: 2, t: 1}. What is prob of picking 1 l and 1 c?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 17. Suppose 0 = -5*q + 2*q + y*f - 12, -5*f + 14 = -2*q. Let n be 0 + q + 2 + 0. Is 3 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30304213 (base 5) to base 4\nAnswer: 323221110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, w: 14}. Give prob of sequence bwwb.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.39617403 rounded to three dps?\nAnswer: 0.396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1948, -1, -3, -5 in ascending order.\nAnswer: -1948, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r + 4*y - 31, -3*r = -r - y - 6 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 45, -55*s - 5*o = -50*s + 65. Sort 4, -5, 47, -6, s.\nAnswer: -6, -5, s, 4, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(28)\/sqrt(4))**2 + sqrt(7) + sqrt(21)\/sqrt(3)*-5.\nAnswer: -14*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h + 7. Let q(o) = -6*o + 7. Determine 3*q(d) - 4*s(d).\nAnswer: 2*d - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -545.95 + 8.95. Let m = w + 536.5. Let o = -0.16 + -11.84. Which is the fourth biggest value? (a) 5 (b) 3 (c) m (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 43. Let c be j(7). Let i = c + -59. Let n(a) = a**3 + 23*a**2 - 4*a - 6. Let w be n(i). Round w to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.601? (a) 4 (b) 5 (c) -3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -2. Is y*2\/8*20\/15 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*4\/20 - (-69223)\/35960\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70833615 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1040\/494 - 2\/19)\/(-90). Sort -1\/5, t, 15, 0.2 in descending order.\nAnswer: 15, 0.2, t, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*p + 1. Is p >= 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, i: 3, r: 3}. Give prob of picking 3 t and 1 r.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 11*q**2 + 8*q - 6. Suppose l = -2*l + 78. What is the remainder when f(-8) is divided by l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1872)*-1)\/(sqrt(576)*-2 + (sqrt(24)\/(sqrt(6)*-2) - sqrt(4))).\nAnswer: 16*sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a - 12954519*h - 158 = -12954524*h, 0 = -4*a - h - 49 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44338 + 1.131.\nAnswer: -44336.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 + n + 1. Let v(k) = 24*k**3 + 8*k**2 - k - 281. Let i(q) = d(q) + v(q). Differentiate i(p) with respect to p.\nAnswer: 72*p**2 + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(2 + sqrt(76)) - sqrt(76)) + -4)**2.\nAnswer: 96*sqrt(19) + 748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 63 = 3*q. Calculate the remainder when 60 is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2721*x = 1314*x + 1315*x + 1380 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/10)\/((-5)\/(-25)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 3 = -1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of 0 + 2\/3*y**3 + 0*y - 1\/60*y**5 + 1\/6*y**4 - 5*y**2. Suppose 7 + 5 = 2*d. What is n(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 0.2 (c) 3\/13 (d) 19 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17367258 and 4.\nAnswer: -69469032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x - 14. Let v(d) = -908*d - 6. Give v(b(s)).\nAnswer: 2724*s + 12706","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 2:26 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 3*p - 4, 2 = -4*a + 5*p. Let v = a - 1. Suppose 1 = d - v. Is 1 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316471211.\nAnswer: 7, 71, 636763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*sqrt(5600) + (1*sqrt(616))\/sqrt(11))\/(sqrt(32) + sqrt(3872) + sqrt(3872) + (-3*sqrt(3872) + sqrt(3872) - sqrt(3872) - sqrt(3872))).\nAnswer: -11*sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/5)\/((-1)\/(-8)))\/(1018\/2545)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5621674400 a multiple of 652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -184, -4, -7 in descending order.\nAnswer: -4, -7, -10, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2568 + 2568 + 22*l**3 + (-8*l**2 - 17 + 17)*(6*l + 7*l - 4*l) as q*l + f*l**2 + r + a*l**3 and give a.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k - 5*b = -10*k - 8, 4*k + 2*b = 20. Let i(c) = -7 - k - 8 + 2*c + 15. What is i(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -47*f**3 + 30*f**2 + 32*f + 11. Let o(h) = 28*h**3 - 15*h**2 - 16*h - 6. Let w(l) = -5*o(l) - 3*u(l). Determine w(16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3248427 is divided by 486.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 4:35 PM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -1, -45, 18, -7 in descending order.\nAnswer: 18, 1, 0, -1, -7, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 85909.54 millennia?\nAnswer: 859095.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -0.2 (c) 3 (d) 4701 (e) -12 (f) 4 (g) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -86450, -173035, -259620, -346205, -432790?\n\"Answer: -86585*q + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i = 21*i - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 7 + -21 - 6) + 5 + -5?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -h - 26, -5*l = -2*h - 26 - 39. Let f be ((-4)\/(-10))\/((-24)\/h). Is -1 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2.7, -1\/4, -974, 0, -2\/23?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1337?\nAnswer: 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12 + 0)\/(93\/(-3038)). Let p = y - -396. Factor -1\/8*s**5 + 0*s**p + 0*s + 1\/2*s**3 + 0*s**2 + 0.\nAnswer: -s**3*(s - 2)*(s + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3367 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2578327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, a: 3, f: 5, k: 4}. Give prob of picking 2 f and 1 k.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v - 6. Let x(q) = 2*q + 2. Let b(m) be the third derivative of m**4\/24 - m**3\/6 + 5*m**2. Let s(w) = 3*b(w) - x(w). Give 6*o(z) - 7*s(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102492589, 204985184, 307477779, 409970374, 512462969, 614955564?\nAnswer: 717448159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3350)\/(-536)*4\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/546 - (-137)\/3562.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -0.081281.\nAnswer: -0.162562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3933438093 to 3 decimal places.\nAnswer: 0.393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 a when two letters picked without replacement from {o: 1, n: 1, y: 1, b: 1, a: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516499.\nAnswer: 516499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000049044 to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2339 is divided by 386?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*u + 38060 = -100*u. List the prime factors of u.\nAnswer: 2, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1868062 and 1336.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -7*d - 138. Let m be k(-20). Let z(c) = 71*c**2 + 5*c + 4. What is the hundreds digit of z(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018692962 a multiple of 4903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2575599.3*-3\nAnswer: 7726797.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6300) + 1 + -3)*-5)**2.\nAnswer: -3000*sqrt(7) + 157600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 3 + 1. Let l be ((-4)\/(-3))\/(s\/(-15)). Let c = -4 + l. Solve c + 6 = 3*n - 3*o, 0 = 4*n + 4*o - 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*p + 320 = 0, -p - 2 = -6. Suppose -n = 3*n - m. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3103, -6214, -9313, -12394, -15451, -18478?\n\"Answer: y**3 - 3118*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3597, -3537, -3385, -3099, -2637, -1957, -1017?\n\"Answer: 7*x**3 + 4*x**2 - x - 3607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4a + 7a089?\nAnswer: 7a03a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-1)\/(-10)*2). Let a(l) = l**2 - 4*l. Let s be a(o). Suppose -317 = -s*z + 288. What is the greatest common factor of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*z + 12*z + 950*z**2 + 20*z - 80*z + 14*z.\nAnswer: 950*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 154 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48649\/11835 - -2\/3945. Find the common denominator of 53\/80 and z.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 962\/267?\nAnswer: 962\/267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5d1 (base 16) to base 6\nAnswer: 10521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 4*d**2 - 4. Suppose -36 = -3*o - 0. Let i = o - 16. Calculate k(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1670, 1697, 1754, 1853, 2006, 2225, 2522, 2909?\nAnswer: 3398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 1 - 924*g + 467*g + 463*g. Give j(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*y = 16 - 1, 5*v + 4*y - 12 = 0. Let h = 0.03 + -3.03. Let w be (-61)\/(-21) + 45\/(-15). Which is the closest to 2\/7? (a) h (b) v (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -521007, -521064, -521159, -521292, -521463, -521672, -521919?\n\"Answer: -19*y**2 - 520988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o. Let d(y) = 3*y**2 + 3*y + 5870. Determine z(d(w)).\nAnswer: 3*w**2 + 3*w + 5870","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 1278?\nAnswer: 6390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = 498*j - 1032*j + 495*j. Suppose -4*r + 2 = -2. Solve 1 = j*o + 4*m + 6, o = -2*m - r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35459689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b**3 - 16*b**3 - 6*b**3 - 12*b**3.\nAnswer: -25*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a micrometer in nanometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7ce - -5?\nAnswer: -7c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/540*(28 + -10)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55565.\nAnswer: 5, 11113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -36. Let x be (1\/2)\/(y\/10). Which is the nearest to 0.1? (a) x (b) 0.2 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-250))\/((-2)\/(-10))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 1. Let k = -161\/3 - -4681\/87. Is k less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + -29. Suppose 2*k + 75 = -y*s - 123, -s = k + 99. Let x = 212 + k. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -223 + 223. Which is the third smallest value? (a) 0.9 (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 6*v - 8. Let m be b(-8). Let o(j) = -4*j**2 - 7*j + m + j**2 + 2*j**2 + 2*j**2. Let w = -8 + 14. Give o(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 5) + (-36 - -43)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -528*s + 524*s - 20 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.053 - -4.253. Let d = n + -4. Which is the closest to -1? (a) d (b) 1\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 39) + (-1 - 10 - (-107 - -88))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from kuuusspskppfjk.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1258*c + 603*c - 2537*c + 821*c - 4086*c.\nAnswer: -6457*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*m**2 + 6*m**4 - 9*m**2)*(53 - 29 - 33).\nAnswer: -54*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 264 + 312. Suppose 3*k = 2*k - u + b, -2*u = 0. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1ad - 5?\nAnswer: 1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 - 3*f. Let t be v(2). Let z be 0\/(2\/4*t). Solve z*g - 2 = -2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m - 4. Let v be n(8). Let k be 3*1 - 1577\/(-83). Solve v*u - k = -2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98342 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1161754 a multiple of 701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence apk when three letters picked without replacement from zepawekp.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wpwwpwpwpppppppwpwp. Give prob of sequence pw.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 3*k + 15 = 0, 280072*a - 280071*a - 127 = 43*k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a day in minutes?\nAnswer: 1980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + n - 8 = -88, 0 = 3*t - 3*n + 84. Let l = 41 + t. Suppose -2*v - 3*v + 25 = 4*o, -2*v = 2*o - l. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -525 - -1136. Suppose 5*f = 4*g - t, 4*f = -4*g + 7*g - 457. Does 2 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4}. What is prob of picking 4 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (393 - 456 - 183)*(-492 + 3 + 93)*(-3*v - v + 2*v) to c*v + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 10 - 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 7) + -3 + -6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 12:37 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/132)\/(29\/((-1914)\/(-36))).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 - 92829*i\/5 - 13659614\/5.\nAnswer: (i + 146)*(5*i - 93559)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331)*2)**2 + -4.\nAnswer: 5320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/16)\/((-23)\/2576*-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 14401 - 9132. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-6)*3*2. Suppose v*y = -4*z - 4, 4*z - 6*z - 8 = y. Let g be z\/(-24) - 76\/(-16). Solve -m + 2 = u, 3*m = g*m - 4*u - 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10023 divided by 3?\nAnswer: 3341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32635 divided by -7.\nAnswer: -32635\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 3*q**2 + 2*q - 2. Let a be o(3). Solve -3*b = -c - 1 - 0, -3*b + a*c - 5 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 0*u - 12. Suppose 2*t - x - 511 = 0, 5*t - u*x - 1282 = -5*x. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 183039 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-78 + 191 + 192)*(5*s + 10*s - 3*s) in the form g*s + r and give g.\nAnswer: 3660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*o - 5 = -182*o, 0 = 2*j + o - 157. What is the second biggest value in 0.9, 3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 2*j + 2, 3*v + 3*j = 7 + 17. What is the highest common divisor of v and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2 + u + 2*u**2 - 9 to the form q*u**2 + d*u + z and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o. Let x(d) = d. Let j(k) = p(k) - 3*x(k). Let s be j(-7). What is the highest common divisor of s and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 774 and 202.\nAnswer: 78174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 37, 54, 75, 100?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**8*(r*r**(-1\/10))\/r*(r**(-2\/21)*r*r)\/(r**12*r) assuming r is positive.\nAnswer: r**(-671\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4 = -2*w, 5 - 1 = -3*w + 4*k. Suppose 5*a = 3*b + 20, -5*b - 13 + 1 = -3*a. Sort b, w, 3 in decreasing order.\nAnswer: w, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*h - 92*h + 540 = 0. Let t(j) = h - 14074*j**2 - 3 + 14073*j**2 + j. Determine t(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 1 - ((3 - (1 + 8)) + (-1 - -17)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.105417 + -81.\nAnswer: -80.894583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 92951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/7, 0, 38\/3?\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 44.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 149243129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 4)*(-2*h + 3*h - 2*h)*(-2*h - 2*h**2 + 2*h + (-h**2 + 2*h**2 - 4*h**2)*(2 + 1 - 1) - 2*h**2 - 3 + 3).\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 64223 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*d - 5*g, -3*g = -0*d - 2*d - 7. Suppose -d*h + 1394 = -102. List the prime factors of h.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 53719038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.267, 5, -2.7, -3\/4, 0.2 in ascending order.\nAnswer: -2.7, -3\/4, 0.2, 0.267, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -0.9.\nAnswer: 5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 719\/6 + -120. Which is the nearest to 2? (a) 3 (b) s (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12769 and -130.5964?\nAnswer: 12638.4036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81 and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -127*f + 107*f + 15580. What is the remainder when f is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41303968 > -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*y = 0. Solve 2*o - k + 6*k - 1 = y, -3*o = -2*k + 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 40 = -5*k, -5*k + 8 = -3*k + 4*f for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2183200 is divided by 39?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 526 by 19115.\nAnswer: 526\/19115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 1101021?\nAnswer: -1101002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1638560 by 304.\nAnswer: -5390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -3. Let w = -0.1026 - -0.0026. Which is the second biggest value? (a) w (b) q (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -5*k**6\/3 - 3*k**2 + 7. Find the second derivative of n(p) wrt p.\nAnswer: -200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*a = 46961, 4*b - 9*b + a + 117416 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-196)\/8 - -1)*8. Let n = -87 - m. Calculate the remainder when n is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 divided by 95.\nAnswer: -43\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 1. Let y be (2\/3)\/((-2)\/z). Suppose 0*x - y*x = -90. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2443*l - 15044*l**3 + l**4 + 15032*l**3 + 5*l**4 wrt l.\nAnswer: 72*l**2 - 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -10*w**3\/39 - 3*w**2 + 16*w\/13 - 86. Suppose m(r) = 0. What is r?\nAnswer: -8, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.109 rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 77, -10, 0 in descending order.\nAnswer: 77, 2, 0, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -535785\/82 or -6534?\nAnswer: -6534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 1 - 1) + (35293 - 35350).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(891) - (-4 + sqrt(891) + 1)**2) + 1 + (sqrt(891) - (sqrt(891) + 0))) + 5 + (1*(-3*(sqrt(891) - -1*sqrt(891)) + -2)*3)**2.\nAnswer: 2133*sqrt(11) + 286028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**3 - 10432*i**2 - 14020954*i - 1080676196 = 0 for i.\nAnswer: -2567, -82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 675827 is divided by 1671.\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/77 and -155\/66?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*b - b + 12, 0 = 2*j + 2*b - 12. Solve j = f + 2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence go when two letters picked without replacement from {o: 7, e: 3, g: 3, p: 5, a: 2}.\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13961165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1332561 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 2*u - u)*(2 - 4 - u - 3*u).\nAnswer: 4*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 46 = 3*d + 3*w, -w + 42 = 2*d. Calculate the highest common factor of 160 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16279*d*h - 4056*h wrt d?\nAnswer: -16279*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 586401 and 295.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 362 - -85. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 567379 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 426.51282 - -4063?\nAnswer: 4489.51282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19763 greater than or equal to -6546?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 776 (base 9) to base 4.\nAnswer: 21330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a day in seconds?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700768 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*y**4 - 4*y**2 + 15 - 12 - 3*y**4 to the form r*y**2 + w*y**4 + n + d*y + p*y**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1747\/1560 + -303\/104. Let o = -1\/2799 - 31715\/19593. Find the common denominator of f and o.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 5, -4, 2, -21831 in decreasing order.\nAnswer: 5, 2, -4, -13, -21831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2185619 is divided by 95006?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420292 is divided by 23346?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times 2225784?\nAnswer: -22257.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361802 is divided by 51685?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -75188620 and 0.\nAnswer: -75188620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*n = 67, 5*j = 3*n + n - 171. Let w = -24 - j. What is the least common multiple of w and 87?\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 9) + 8 + (-3 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-62 - -64)*(-1)\/(-1)*4. Solve -x - 13 = 3*o, -3*o - k = 5*x - 7*o for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 12. Suppose 5*g = -i - 3 - 10, -3*i = -g - b. Is 2 + -2 + i + 9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2522 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -s**4\/24 - s**3\/3 - s**2 + 211*s. Suppose -4*l = 2*f + f - 1, 5*f - 4*l + 41 = 0. Give p(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*r - 20072 - 9727. What is the highest common divisor of 77 and r?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11\/3 or 14093?\nAnswer: 14093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 599 - 4418*d**3 - 1495 + 896.\nAnswer: -4418*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5146867 is divided by 835?\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k - 8. Let p be d(4). Let f = -4 - p. Let j be (-2 - 7\/(-3)) + f. Which is the nearest to 1? (a) -0.5 (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*x = -10, 0 = -5*z + 2*x - 141. Let n = z + 25. Let s(u) be the second derivative of u**3\/6 + 9*u**2\/2 + u. What is s(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j**2 + 2*j - 3. Suppose 0 = -5*h - 3*r - 2, 0 = h - 0*h - 3*r - 14. What is the units digit of g(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1951, -1952, -1953, -1954, -1955?\n\"Answer: -u - 1950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2878314 and 2072036.\nAnswer: 1094","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + ((-5)\/3 - -1). Suppose d + 1 = -4*b + 4, -3*b + d + 11 = 0. What is the second biggest value in b, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 575801 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, r: 4, z: 3}. What is prob of sequence zz?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1573*m - 3134*m + 1561*m - 5052*m**4 + (-2*m - m - m)*(-3*m**3 + 0*m**3 + 4*m**3).\nAnswer: -5056*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 1. Is -2 + (1 - b) - -13 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2160 and 162.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8439\/5? (a) -3\/7 (b) 2\/7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - z**2. Let p(d) be the first derivative of 3*d**4\/4 - 5*d**3 - 3*d**2 - 1. Let x(f) = -6*i(f) + p(f). Let x(u) = 0. What is u?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-85) - (-82)\/(-119). Which is greater: -9 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.021472 at most -742\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4891927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 349097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 10:54 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3855750 by -5.\nAnswer: 771150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 = -13*d + 94 + 227 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w**2 - 7*w + 4. Suppose -30*z = -26*z - 8. Suppose -z*j - 3*n + 30 = 0, -3*j + 67 = -n - 0*n. Calculate the remainder when q(4) is divided by j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l + 54*l + 276 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (6 + 12 + -6)\/((-2)\/2 + 0)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1138*o**2 - 27*o + 1121*o**2 + 1135*o**2 - 93 - 3392*o**2 as y*o + f + x*o**2 and give y.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -23145?\nAnswer: 1\/23145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10026 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k - 102 = k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -8870517 + 8870517 + 3*t. Let s(r) = 345*r**2. Give s(z(m)).\nAnswer: 3105*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 3*h + 9, 4*h + 1 = 2*p + 11. Suppose -3*n + 300 = -0*n. Suppose -i + n = p*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 22 = 8*m - 6*m, -3*p = -m - 11 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 37 = -19. Let v be -2 - (-5 - (c + 4 - 9)). Factor v*y**4 + 2\/7*y**3 - 1\/7*y - 1\/7*y**5 + 0 + 0*y**2.\nAnswer: -y*(y - 1)**2*(y + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -98 + 98.039. Let j = 0.027 + v. What is j rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -73 - -73.75. Let y = 0.95 - t. Let d = -7 - -5. What is the third smallest value in -0.3, y, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 348, 409, 184, -327, -1124, -2207, -3576?\n\"Answer: -143*b**2 + 490*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 n when three letters picked without replacement from ocjjooijjojnioooojj?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10)\/(-65) + 3 + (-1920)\/(-26).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -54, 1, -467 in decreasing order.\nAnswer: 1, -2, -54, -467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 602.165545 rounded to 0 dps?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3320*b - 119*b**2 + b**3 + 3320*b)*(b + 0*b - 3*b)*(44 - 11 + 14).\nAnswer: -94*b**4 + 11186*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 l when three letters picked without replacement from ffffflffflllfl?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t - 5. Let l(o) be the first derivative of -2*o**2 - 4*o + 145. Give -5*b(r) + 6*l(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 2:28 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r - 6. Suppose u - 4*z = 17 + 8, -40 = -5*u + 3*z. Suppose -2*b + 2*s = 3 + 3, s - u = 2*b. Let p be (-2)\/7 + b\/(-7). Calculate l(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -938a7cb?\nAnswer: 938a802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeebeeeeeeeeeee. What is prob of picking 2 e?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9297.705 decades?\nAnswer: 929.7705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/3))\/h*h\/h**(3\/5)*(h**1)**(-10)*(h**(-1)\/h*h*h)**(-30)\/(h**0*h*h**(1\/11)) assuming h is positive.\nAnswer: h**(-1874\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-101)\/2*(-10 - 32\/(-4)). Suppose 4*a - q + 53 = 0. What is the highest common divisor of a and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 695164?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(700\/119 - 6). Sort 1\/2, u, 57 in ascending order.\nAnswer: 1\/2, u, 57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n + 1768 - 1856 = 0 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 306.5849l to millilitres.\nAnswer: 306584.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 u when two letters picked without replacement from {u: 1, h: 2, r: 1, e: 5, x: 3}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 42 + -2?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -40.\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -95 - -99. Sort 1, 2, 5, c in decreasing order.\nAnswer: 5, c, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100806, -403245, -907296, -1612947, -2520186, -3629001?\nAnswer: -4939380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**3 + 753*r**2 - 2619*r + 15583. Determine f(-380).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 5 + 1. Let p(h) = -h**2 + 10*h - 14. Let k be p(10). Let j(o) = -8*o + 8. Let m(w) = -w + 1. What is k*m(s) + x*j(s)?\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211 + 37 = -96*o + 1074 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*i + 9. Suppose -r + 7 = -i. Suppose 0 - r = -m. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 not equal to 261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -537 - -134?\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i - 1. Let o be r(-1). Let t = o - 4. Let f = t - -3. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 12*g**2 - 15*g + 18. Let h(t) = t**2 - t + 1. Calculate -15*h(a) + i(a).\nAnswer: -3*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-8)*1*(-45)\/((-7200)\/(-64)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5604.64 rounded to the nearest one hundred?\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4103257993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by 6.\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1023320 (base 4) to base 7\nAnswer: 20105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 4)*(-3*m - m + 3*m)*(-m + 2 - 3 + 3*m) in the form g*m**2 + w*m + s and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-1)*(-5)\/((-90)\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/167100095 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 3, k: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 18 = -3*m, 4*m = -y - 2*y - 21 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1650407218 is divided by 2772.\nAnswer: 2770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/729 (b) 3 (c) 0.193 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + -4 + 8 + -1. Factor -5*x**4 + 174*x**3 - 5*x**4 - 15*x**5 - 169*x**w.\nAnswer: -5*x**3*(x + 1)*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -5, -538 in descending order.\nAnswer: -5, -8, -538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 27994640?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 6:33 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 360 - 362 - (0 + 4 + 0 - -2) - -66.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.3222 - 4.1164. What is n rounded to one decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -4*k + 12, 5*w = -4*k + w + 4. Suppose h = 3*h + 120. Let y = -34 - h. Solve q - 2*q + y = k*a, a - 7 = -2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -405434 (base 9) to base 3\nAnswer: -110012111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 16*m - 208. Is 13 a factor of i(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 10*b - 21. Let q be f(12). Suppose 5*l + 5 = 3*x + 1, 4*x = q*l + 9. Let j = 0.02 - 5.02. What is the smallest value in l, -4\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 - 3*q. Let k be h(3). Let s = 28 + -14. Suppose 2*r - k = r - 3*a, 2*r + 4*a = s. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y**2 + 315*y + 391. What is z(80)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {o: 2, e: 7}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 2:05 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 2122221?\nAnswer: -2200001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 1. Let z(x) = 11*x**2 - x + 3. Let v(j) = 6*i(j) - z(j). Let m(t) be the first derivative of v(t). Is m(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-405)\/216*20\/15\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/8 + 807*u**3\/8 - 2415*u**2\/8 + 2413*u\/8 - 201\/2.\nAnswer: -(u - 804)*(u - 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*i + 11 = 0, 3 = -4*i - 1. Sort h, 2, -37, -4.\nAnswer: -37, -4, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(65)*2 - sqrt(65))\/(sqrt(45) + sqrt(90)\/sqrt(2)).\nAnswer: 5*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 6:00 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**2 - 747476*b + 747476*b.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*f - 2980*f - 4138*f - 2246*f.\nAnswer: -9468*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -10 - (-19 - -5) - 8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -117, -8, -13\/10, -0.5, 4.\nAnswer: -117, -8, -13\/10, -0.5, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 169507 + 657893. Round b to the nearest ten thousand.\nAnswer: 830000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -555*r = -1458*r - 933*r + 57363 + 21585 for r.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + h + 11. Let o be y(-8). Suppose 8*s - o - 53 = 0. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10556, -21224, -31878, -42512, -53120, -63696?\nAnswer: -74234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 - 18. Suppose -90 = -a + o. Suppose -a = -q - 2*q. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.017 in 3, 2\/11, 8, -22?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-7 - 6 - -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/3)\/((-2)\/12). Solve 0 = -k*q + 5 - 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*m - 301 = 0, 0 = 3*k - 23*m + 27*m - 219. Let u = -21 + 43\/2. What is the smallest value in -0.5, k, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 8, v: 4, s: 5}. Give prob of sequence vs.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46387462.\nAnswer: 2, 11, 2108521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*o**2\/7 - 699*o\/7 + 684\/7.\nAnswer: 3*(o - 1)*(5*o - 228)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/56*-1*((-112180)\/1917)\/(-79).\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 304\/249 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1385276952.\nAnswer: 2, 3, 57719873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1275 and 181985.\nAnswer: 2729775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 101734 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a day?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 435415 - 435415.209967. Let j = w + 0.21. What is j rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 36 + 18 = 0. Let j be 1*4*(0 + c). Let g = j - -28. Solve -3*d - g = 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14902, -14906, -14912, -14920?\n\"Answer: -h**2 - h - 14900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -113622805, -113622813, -113622823, -113622835, -113622849?\n\"Answer: -s**2 - 5*s - 113622799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.05 - -0.15. Let x(u) = u**2 + 20*u + 14. Let r be 0 + 3\/(-5) - (-184)\/(-10). Let g be x(r). What is the closest to y in 1\/6, g, 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/8 - (5490\/(-144) + (-18)\/16 + 3).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-145)\/13 + (-2)\/(-13). Let s be 5\/15 + g\/(-3). Solve -s*w + 0 = 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -31*h + 427. Give n(14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 988 divided by 4\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -17 in descending order.\nAnswer: 2, 1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -40 (b) -1 (c) 2.1672 (d) 9 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19040071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7404009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53032 + 105. What are the prime factors of f?\nAnswer: 7, 7591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*a**3 + 16700*a**2 - 1037065*a - 101953090 = 0. What is a?\nAnswer: -458\/9, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 + -2 + -2 - -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -179, -145, 195 in decreasing order.\nAnswer: 195, -3, -4, -145, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*z**5 + 1966895*z**4 - 120896000218*z**3 - 15113997656*z**2 + 120896000226*z + 15112030761 = 0. What is z?\nAnswer: -1, -1\/8, 1, 122931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-284)\/14 + 16\/56. Let s = m - -30. Solve -5*u = -s*u - 3*o - 28, 2*u + 3*o = -13 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -87*(-28)\/(-1218)*(-2)\/(-72).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((-24 - -2) + -76 + 172).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rsqz when four letters picked without replacement from qssqqrqqsqrsqzsqqqzq.\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 5:07 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 3*z - 6, 4*c - 8 = z + 5. Let s(f) = 4*f**3 - 3*f**3 + f + 3 - 6*f - f**2. What are the prime factors of s(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(((g\/g**(11\/5))\/g)\/g))\/g)**(-3\/14)\/(g**7)**6)**(-16\/11) assuming g is positive.\nAnswer: g**(23904\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = u. Let d = 6.6 - 6. Let k = d + -0.1. Which is the nearest to u? (a) k (b) -4 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 88 - 16. Let l = w + -29. Is l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -5) + (-3 - 0 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -40c54 (base 13) to base 8\nAnswer: -343165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 1 + -22 + 30.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/258016 and -91\/64504?\nAnswer: 258016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/2 + (-4 - -526).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5467 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 42 = -3*p. Let z be (4\/(-6))\/(p\/1725). Suppose -3*b = 2*d - z, 2*d + 2*b - 114 = -0*b. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -5. Let u(b) = -4*b + 34. Let s be u(-5). Suppose z*g = -4*h + g + s, 0 = h + 3*g - 21. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqs. What is prob of sequence sq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -460*v - 55*v + 249945 = 1388*v + 2482*v for v.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145229*l + 145148*l - 729 = 0 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/112)\/(301\/(-9030)).\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*k + 26. Calculate the lowest common multiple of k and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/5))**(-16)*(k**9)**(-2\/77) assuming k is positive.\nAnswer: k**(-1322\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(14\/(-66)))\/21. Let p = i - -16\/147. Factor 1\/3*u**2 + u**3 - u + p*u**4 - 2\/3.\nAnswer: (u - 1)*(u + 1)**2*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s + 3. Let t = 155 + -154. Let i(f) = 1 - f + 0*f + 0*f. Give t*n(c) - 4*i(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 938909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r**2 - 23*r - 9. Let c be i(-7). Let u be 3\/(-1)*4\/(-6). Calculate the greatest common factor of u and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 281746 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 3) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in -2\/3, 12, -8\/5, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -13, -13, -3, 23, 71?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -721.8 take away -0.5?\nAnswer: -721.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.29 + -0.21. Let f = 2 - 6. Let t = f - n. Which is the second biggest value? (a) t (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 775791406?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-52)\/2 - 111\/(-185)*-20?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 566, 591, 640, 719, 834?\n\"Answer: w**3 + 6*w**2 + 559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 2*y**3\/27 + 109*y**2\/9 + 370. Solve q(h) = 0 for h.\nAnswer: -109, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -268\/27 in 0.3, -87, -12, -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**3\/13 - 1960*r**2\/13 - 3934*r\/13 + 5892\/13 = 0 for r.\nAnswer: -3, 1, 982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3942?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((0 + sqrt(612))*-1 - sqrt(612)*2*-2)**2 + -2 + -2).\nAnswer: -22016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q. Let k(g) be the third derivative of 0 + 2*g**2 + 0*g + 0*g**3 + 0*g**4 - 1\/12*g**5. Give j(k(w)).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -3*l**2\/2 + 2. Let h(t) = 0*t - 2*t + 8*t - 3*t. What is j(h(v))?\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w = -50, -3*x - 47*w + 25*w - 38*w + 341 = 26 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -105979164 bigger than -105979165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 9235259 divided by 1903\nAnswer: 4853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20118.1917 - 20119. What is o rounded to two dps?\nAnswer: -0.81","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a micrometer in nanometers?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*x**3 + 633*x**4 - 2 + 61*x + 3*x**3 - 1335*x**4 wrt x.\nAnswer: -8424*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99044?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 105*-4*(-9)\/90. Suppose -3*h = 2*l + 2, 30 = 4*h + 5*l + v. What is the second smallest value in h, 3\/5, 18?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -33*p**2\/2 + 325. Let l(u) = 17*u. What is 4*a(w) + 7*l(w)?\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59878?\nAnswer: 2, 7, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 8:35 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 3, -11, -2, 648 in ascending order.\nAnswer: -11, -5, -2, 0, 3, 648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 5:13 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 3:24 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.966 rounded to 0 dps?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 11*s**2 + 5*s + 167. Is 4 a factor of l(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 8:27 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 88\/9 - 20\/(-90). Calculate the greatest common factor of b and 410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 0 + 10, 2*j - 11 = -h. Let z be 2 + 4 + -2 + h. Solve 4*x - z = 3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1290761486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2100 and 14?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*z - 13 = 154*z - 85*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -17, -1\/6, 2, -5, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15385355*a**2 + 9026*a + 325.\nAnswer: -30770710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 386 + -389. What is the second smallest value in n, -37, -1\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-20)*3920\/(-7448).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8504 * -110589\nAnswer: -94044.8856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 63, 122, 199, 300, 431, 598, 807, 1064?\n\"Answer: z**3 + 3*z**2 + 43*z + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*z + 6 = 36*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + y + 44. Let m = 353\/8 + y. Which is the third smallest value? (a) -2 (b) 1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 1893324?\nAnswer: -1893326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003427 to 4 decimal places.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -16*p. Let d(k) = 72*k + 1. Let t(a) = d(a) + 5*u(a). Suppose 3*y - 3*x - 28 = 2*x, -3*y = 5*x + 22. Give t(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*l + 27 - 18, 3 = -x + l. Let k(c) = -c**3 + 3*c - 18. Let t(j) = -j + 1. Calculate x*t(w) + k(w).\nAnswer: -w**3 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 23010?\nAnswer: 23000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7150)\/(-20475) + 28\/(-49)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 989 divide 8794132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.02536 - 4.02536. What is the second biggest value in -2\/5, 12, x, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -8*o + 12*o + 23, -2*o = 4. Solve -9*m + 60 = v*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.46849 + -0.455. Round q to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3924, -7852, -11780, -15708, -19636, -23564?\n\"Answer: -3928*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -3) + -2 + 13 + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**8\/1008 + 11*k**7\/630 - 19*k**6\/180 + 17*k**5\/90 + 13*k**4\/24 - 5*k**3\/2 - k**2 - 39. Find h, given that i(h) = 0.\nAnswer: -1, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, t: 1, c: 1, a: 1, x: 1, j: 2}. What is prob of sequence xj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -493*b - 2. Let w(a) = -3*a + 2. Calculate t(w(d)).\nAnswer: 1479*d - 988","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*l**3 - 1384\/13*l**2 + 239432\/13*l + 0.\nAnswer: 2*l*(l - 346)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -8 - 71\/6*t**3 + 0*t**2 - 2*t + 17\/3*t**4. What is the second derivative of o(w) wrt w?\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 327787504?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 93*m - 94*m + 9. What is the smallest common multiple of m and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 512*a = -507*a - 15, -2 = -2*i - 3*a for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -3*n + 1\/210*n**5 - 1\/420*n**6 + 0*n**3 + 0 + 0*n**4 + 1\/2*n**2. Let d(b) be the first derivative of v(b). Factor d(l).\nAnswer: -2*l**2*(l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-3))\/(11\/((-4686)\/4828)).\nAnswer: -14\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*t**3 - 50*t**3 + 29*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 544 = -3*b + b - 550, -8*b + 2*z = 24 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002843733093 to five decimal places.\nAnswer: -0.00284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*h - 365 = -200 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or 55337?\nAnswer: 55337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2 - 4*i + 3. What is l(-4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k - 1. Let s be z(-2). Let g be (-2)\/9 + 988\/s. Let i = -76 - g. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124329056.\nAnswer: 2, 41, 193, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 40 = -5*i, 3*t - t + 10 = 0. Let r = 7 - 5. Let y be 11\/(-20) - r\/8. What is the second smallest value in 4, i, y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6223\/24 - -15040975\/58008. Is 1 greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12328\/5 + 2466. Which is the closest to 2\/9? (a) -114 (b) v (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175041720 divided by -89307.\nAnswer: 1960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -859, 146, 5, -4 in increasing order.\nAnswer: -859, -4, 5, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2. Let w(f) = -f**2 + f - 1. Let s(l) = 5*l**2 - 3*l + 3. Let u(t) = s(t) + 3*w(t). Determine n(u(k)).\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -163, 2, -4, -5.\nAnswer: -163, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 1360*h - 802452 + 802452 as d*h + w and give d.\nAnswer: 1360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 187, 377, 571, 769, 971, 1177, 1387?\n\"Answer: 2*k**2 + 184*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8753532 - 3359?\nAnswer: 8750173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4884 + -0.0884. What is the nearest to 9 in -1\/3, p, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 446692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s - 23671 = 41417. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -3*o**4 + 1842*o**3 - 320367*o**2 + 11549340*o - 117938700 = 0?\nAnswer: 22, 285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**7\/420 + d**4\/6 + d. Let v(q) be the third derivative of l(q). Let o(k) = 2*k. What is v(o(f))?\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + -19. What is the remainder when 63 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1247 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11450 + 16269. Calculate the highest common factor of 79 and a.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + sqrt(637)*2*-3 + sqrt(637))**2.\nAnswer: 10192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -855604 - -501004. Round w to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3112105 is divided by 1037365.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 - 19388*a - 38792.\nAnswer: 4*(a - 4849)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a - 8. Determine r(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 861*n**2 + 1. Let j(c) = c. What is j(o(b))?\nAnswer: 861*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 130.7 * 4\nAnswer: 522.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -4*i**2 + 7 - 2*i**3 + 11 - 30*i + 18*i**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2\/7 - 104*v\/7 - 2784.\nAnswer: 4*(v - 84)*(v + 58)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 39\/(-12)) + 36\/(-48)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/11 + 3\/(18\/(-24)). Let y = -0.127 - 17.773. Let j = 18 + y. Which is greater: j or z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82877 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 45*r - 43*r. Suppose r*i + q - 3*q = 266, 0 = -2*i + q + 262. List the prime factors of i.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 154489292 and 4?\nAnswer: 154489292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/5 in 0.3, -279, -2\/3, -2\/5, -1\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 431 a factor of 8459744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 4:32 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -77*n + 90*n + 67*n - 7200. Suppose -s - s + 60 = 0. Let k = -15 + s. Calculate the greatest common factor of n and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*t + 334*t + 417 = -2013 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/40*30\/12.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/(-114*(-180)\/25650)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -668*u = -4556 + 6115 + 5789 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2. Let j(f) = f**2 + f - 1. Let p(z) = z**2 - 5*z + 6. Let d be p(4). Suppose 3*k = 3*s - 9, d*k - 2 + 14 = -s. Let q be j(s). Determine n(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1364, 1368, 1374, 1382, 1392, 1404?\nAnswer: 1418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + 15*h**2 - 483*h - 495.\nAnswer: 3*(h - 11)*(h + 1)*(h + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 2609\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8*8\/96*396\/(-30)*1305\/(-116)\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = 76 + 14. Let m = 2 - 0. Solve 0 = -3*y + h + f, -3*y = 2*y - m*h - 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 26.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1125*a + 3*p = -1127*a + 7, 3*p - 15 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6*o**2 - 17*o - 17. Calculate z(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 147073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68 - -73. Suppose -w*n + 2*m + 197 = -0*m, 5*n + 3*m - 192 = 0. What is the remainder when ((-6)\/(-4))\/((-2)\/(-204)) is divided by n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4*(sqrt(3) - sqrt(24)\/(sqrt(8)*1)) - ((sqrt(21)\/sqrt(7) - sqrt(3))**2 + -1 + 4*(sqrt(9)\/sqrt(3))**2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, b: 2, n: 2}. What is prob of sequence bnb?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13884 and 1513?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ni when two letters picked without replacement from {q: 1, c: 2, n: 2, i: 7}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -48*m**3 + 28*m**2 - 5. Let u(k) = 145*k**3 - 85*k**2 + 14. Let p(h) = -6*u(h) - 17*y(h). What is the third derivative of p(b) wrt b?\nAnswer: -324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 373 = 13*q - 927. Put 1, q, -2, 2 in descending order.\nAnswer: q, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 82 - 85. Put -2, -7, 0, m in decreasing order.\nAnswer: 0, -2, m, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67.421 + 0.079. Let v = y - 64.5. Which is the smallest value? (a) -16 (b) v (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4632 - -538. Calculate the highest common factor of n and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 5*v = 15, -157*v = -3*a - 159*v + 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 244878 by -6.\nAnswer: -40813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -311\/29 or -11?\nAnswer: -311\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 6*y**2 + 2*y - 6. Let k be w(2). Calculate the highest common divisor of 55 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 - (95 - 53) - (4 - (5 - -4))\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (20433\/278)\/(-147)*4*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*(sqrt(40)\/(sqrt(15)\/sqrt(3)))\/(sqrt(4) + -2*sqrt(16)).\nAnswer: -3 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2896 times -57\nAnswer: 16.5072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 379\/1841050 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -12. Sort 3, -5, x.\nAnswer: -5, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 246 + -245.8. Put -2, 1\/10, h, -7 in increasing order.\nAnswer: -7, -2, 1\/10, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (117\/13572)\/((-6)\/576*8)\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -5. Let l = 652.1 + -650.9. Which is the nearest to 1\/4? (a) t (b) 2\/11 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, -2\/3, 4, 357, -51, -0.5, 9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11 - (12\/4 + -4). Suppose 4*n - 6*n + w = 0. Suppose n*t = t - 5, 107 = z - t. List the prime factors of z.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a kilometer in centimeters?\nAnswer: 48000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65 - 74. Calculate the lowest common multiple of (-16)\/f + 6\/27 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 35 from -157.7.\nAnswer: -192.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 bigger than 123\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 2*i + 11\/5*i**2 - 1\/5*i**3 = 0 for i.\nAnswer: 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t + 9560 = 4*t. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 14*w - 20 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2835 - 4256 = 401*o + 239*o - 22541 for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 119 and 86887.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -346277589*z - 137992439 wrt z?\nAnswer: -346277589","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2742128249.4 rounded to the nearest 100000?\nAnswer: 2742100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x**2 - 2*x + 2. Let i be (1\/(-2))\/((-2)\/(-12)). Is q(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + (sqrt(70) - sqrt(70)*1)*-1 - (sqrt(70) - -3*sqrt(70)*1))*5)\/((1*(-2*sqrt(120) + sqrt(120)))\/((sqrt(24)\/sqrt(2) + sqrt(12))*-3)).\nAnswer: -90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 6*b - 15. Let q(s) = -s + 2. Let k be 16\/3*27\/36. What is k*w(m) + 30*q(m)?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of v**4*x + 400*v**3*x - 133*v**2 + 2*x wrt v.\nAnswer: 24*v*x + 2400*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1316? (a) -0.3 (b) 0.5 (c) -13 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*c = -68*c + 65013. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 1\/9*q**3 + 18 + 4\/3*q - 5\/6*q**2. Factor s(l).\nAnswer: (l - 4)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13332*a**2 - 5142*a - 2 wrt a?\nAnswer: 26664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/6, -1, -2\/11, 1\/5, -1086?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2443 - 2758*k**2 + 2443 + 2769*k**2.\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -5*s**3\/6 + s**2\/2 - 8*s. Let p be b(1). Let j(h) = h**2 + 6*h + 3. Give j(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1903*z - 520*z - 390*z + 2839 = 56286 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*k**2 + 2*k**2 + 0*k - 8*k**2 - 12*k = 0. What is k?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, 4, 5, 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2874*p + 2886*p - 11533*p + 3*p**2 + 2880*p + 3*p**2 + 2893*p.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/13475 and 86\/24255.\nAnswer: 121275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1612952885 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -900850932 divided by -300283644?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/(-4))\/3 - 0. Let t be (-2 + -12 - (-715)\/40) + (-3 - 1). Which is the biggest value? (a) -1 (b) -0.4 (c) t (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66 divided by 66\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17bca02 - 5?\nAnswer: 17bc9ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 198 = -q + 93, 4*l + 809 = 3*q. Suppose 15*d = 26*d + q. Let w be 4 - 5\/(d\/15). Solve 2*t - 1 = -w for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -249.4279229 to the nearest integer.\nAnswer: -249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13, 0, -26, -4, -21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + c + 10 = 0, -3*s + 33947 - 33901 = -5*c for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 44030 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 972.3 - 1078. Let v = y - -100. What is v rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2416*p + 108 = 2452*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 140 + -36. What is the remainder when d is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 + -20. Put h, -0.2, 5 in decreasing order.\nAnswer: h, 5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of d**7\/21 - d**6\/15 - 3*d**5\/10 + d**4\/6 + 2*d**3\/3 - 21*d - 4. Let k(a) be the first derivative of l(a). Factor k(m).\nAnswer: 2*m*(m - 2)*(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4607527550 to the nearest 1000000.\nAnswer: -4608000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70.8 + 537.8. Let x = 485 - r. Which is bigger: x or 0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 237\/4 - 59. Determine j so that 1\/4*j**2 - s*j**3 - 3\/4*j**5 + 0 + 0*j - 5\/4*j**4 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2*852\/7952*7\/(-3).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*t - 9 = 0, 3*u = 6*u - 5*t. Let p(o) = o**3 + 7*o**2 + 4*o - 13. Let c be p(-6). What is the lowest common multiple of u and c*8\/12*-9?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -92*u - 2 + 177*u - 86*u + 4. Let k be c(6). Sort 1, 5, 3, k in increasing order.\nAnswer: k, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*((-8)\/(-20))\/((-8)\/10). Let h(f) = -237*f**3 + f**2 + 2*f + 1. What are the prime factors of h(d)?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03 and -10283.\nAnswer: -308.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 420\/31?\nAnswer: 420\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 62\/3. Let q = l + 2\/3. What is the nearest to q in 4, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -1. Suppose 0 = -4*u - 5*z - 3, 0*u + 4*u + w*z - 6 = 0. Suppose o + 3*x - 2*x + 3 = 0, o + 9 = -u*x. Solve o = -5*h + 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/4)\/(10\/380). Is h smaller than 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -51. Let z = 49 + p. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -156 + (117 - (4 - -26)).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxa when three letters picked without replacement from mmxammmxmxmaxmxmxm?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -81 - -114. Calculate the remainder when d is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y - 2. Let u be 140\/(-98) - 8\/14. Let v be k(u). Factor 1\/2*l**2 + 0 + v*l.\nAnswer: l**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**3)*z\/((z\/(z*z*z**(-6\/11)))\/z))\/(z*z\/(z*z**(-2\/13))*z*z)**(-1\/31) assuming z is positive.\nAnswer: z**(24631\/4433)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4066 + 4087. Let a(u) = -u**3 + 21*u**2 + u - 19. Determine a(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 10*l + 4. What is c(-6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4284076 = 457*d - 5910030 - 3846305. List the prime factors of d.\nAnswer: 3, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 4. Let d(u) = u - 1. Let x(w) = -5*d(w) - p(w). Suppose -3*g = -0*g - 30. Suppose -3*b + v + 6 = 0, -5*b - 7*v + 3*v + g = 0. Determine x(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k + 4 - 2*k + k + 2 + 2*k. What is h(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*-11.\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 275156709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 341\/93*5808\/242?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -31?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, -7461.24, 19 in descending order.\nAnswer: 19, -0.08, -7461.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2113018 + -4?\nAnswer: 2113014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 5, -5, -3\/5 in decreasing order.\nAnswer: 5, 1\/2, -3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -11. Let z = -6 + v. Let u = -0.2 + 0. Do z and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*x = -30*x + 5*t - 37, 5*t - 35 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -154 - -166. Let r(d) = -d**3 + 17*d**2 - 41*d + 27. Does 15 divide r(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/(-36))\/(9\/(-2)))\/((-25881)\/51762)\nAnswer: 1\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 11 - 3)*(-2 + 5 - 1)*(-z + 0*z - 5*z) in the form x*z + f and give x.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09901 to three dps.\nAnswer: -0.099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 55 = -3*v, -40*s - v = -43*s + 215. Solve 0 = 67*g - s*g + 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 + 21*x - 12. Determine u(-14).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) 0.6 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i - 1. Let g(l) = 4*l + 1 - 4*l + 2*l + 0*l. Let v be 5\/(-2)*6\/(-5). Suppose -1 + 12 = -3*s - m, 3*m = -3*s - v. What is s*g(f) - 6*z(f)?\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-14))\/(1\/2)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69350 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + 4. Suppose 0 = 4*b + 4 - c. Let r = -0.095 - -0.095. Put b, r, -7 in descending order.\nAnswer: b, r, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21828 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 4)*(-3*c**2 + 5*c**2 - 6*c**2) + c**2 + 0*c + 0*c.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/((-32)\/(-32))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1027800 to the nearest 10000.\nAnswer: 1030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -17*a**2 - 3*a - 56. Let o(w) = -59*w**2 - 4*w - 167. Let k(s) = 2*o(s) - 7*y(s). Determine k(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - j**2 - j + 1. Let h(c) = 4*c**3 - 4*c + 6. Calculate 6*d(f) - h(f).\nAnswer: 2*f**3 - 6*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 11*t**2 - 6*t - 12. What is the remainder when a(-11) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 665426340 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14348*f**3*q - 308*f**2*q - 22*f**2 - 2*q + 2 wrt f.\nAnswer: -86088*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1239 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 23946970 to the power of 1\/2, to the nearest integer?\nAnswer: 4894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*y**6 - 21*y**5 + 3*y**4 + 6*y**2 + 3688*y wrt y?\nAnswer: -2160*y**3 - 1260*y**2 + 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + p**2 + p + 1. Let b(i) = 7*i**3 + 2*i**2 + 3*i + 4. Let w = 2 + 0. Let c(a) = w*o(a) - b(a). Does 12 divide c(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1832145296?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.763 days to microseconds.\nAnswer: 8446723200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27405557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 17*c**2 + 259*c + 649. Let n be x(-26). Put -16, 3, -5, 6, n in decreasing order.\nAnswer: 6, 3, n, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p**5 + 7*p**4 + 2*p**3 - 28*p**2 - 24*p = 0. What is p?\nAnswer: -6, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4443 - 808 = 0. Let c = z - 420. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n - 4*n**3 - 4*n**2 + 3*n**3 + 8*n + 2. Let j be o(-5). Suppose l = -j*l - 16500000. What is l rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9136441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -l**4\/4 - 8*l**3\/3 - l - 10. Let x = -10 + 18. Suppose 0 = -0*d + d + x. Give w(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*v - 6 = 0, 5*h - 37 = 3*v + 20. Let r(g) = 5*g - 33. What is the remainder when r(19) is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 8*k - 1. What is the units digit of t(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6259*u**2 - 2079*u**2 - 2099*u**2 + u**3 - 2081*u**2 + u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 186892313 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0605*0.38.\nAnswer: -0.02299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 + 0*h + 0*h + (-124 + 5*h + 124 - 2*h**3)*(-6 - 3 + 7).\nAnswer: 3*h**3 - 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/270 and (71\/(-12))\/(20\/(-15))?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4895982*-0.4\nAnswer: -1958392.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/247985 and 67\/396776.\nAnswer: 1983880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/8*(-752)\/940*(-2)\/(-20)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (156\/(-91))\/(2\/1*1)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1\/5))**(-5\/3)\/((m*m*m\/m**(-2\/11))\/(m**(-6\/5)*m)) assuming m is positive.\nAnswer: m**(-778\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-204)\/45*14595\/(-1946)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*a**4 - 14*a**4 - 111*a**4 + (-2*a + 3*a + a)*(0 - 2 - 2)*(a**3 + 3*a**3 - 5*a**3).\nAnswer: -151*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2811197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 830\/(-110) - (-27 + 28)*(-2 - 5). Suppose 3*x + 0*x = -15. What is the nearest to -1\/4 in x, t, 14?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 - 131143829 + p + 131143829 - p.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vw when two letters picked without replacement from {v: 2, s: 1, w: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -13, -4, 0 in descending order.\nAnswer: 40, 0, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2607?\nAnswer: 3, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1261 - -2527\/2. What is the nearest to 0.1 in -1\/4, 0.5, o, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-5) + 57\/105. Let m be 1\/6*(1 + 0). Sort m, 1, j in descending order.\nAnswer: 1, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1440, 1462, 1470, 1458, 1420, 1350, 1242, 1090?\n\"Answer: -f**3 - f**2 + 32*f + 1410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -234431443 (base 5) to base 9\nAnswer: -2044864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4161, 37497, 127939, 304041, 594357, 1027441, 1631847?\n\"Answer: 4759*m**3 - m**2 + 26*m - 623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 4 - 14 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 2*c - 1. Let r be u(4). Let w(a) = 3*a - 8. Let i be w(r). Suppose i = b - 3. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 69*s**2 - 1. Let i be j(1). Suppose -3*d = i - 2. Is 12 a factor of 2*2\/2 - d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(6\/68))\/1. Let i be (-8 - -9) + -5 + 178\/2. Calculate the greatest common factor of i and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t**2 + 14*t - 84. Calculate h(4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.4 less than -255115.76?\nAnswer: -255122.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103, -192, -281?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 1849?\nAnswer: 7396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + 8. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -h - 133, 2*u + 2*h - 10 = 48. What is the highest common divisor of 7101 and u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.05, 2\/3, -2.9, -134, 2\/7.\nAnswer: -134, -2.9, -0.05, 2\/7, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19149, 19003, 18857?\nAnswer: 18711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/5 - 122*v**2\/5 + 2*v\/5 + 122\/5.\nAnswer: -2*(v - 1)*(v + 1)*(v + 61)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3368.593 + 3352.6. Let t = -28 + 12. Let n = s - t. What is n rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 87 - 93 = 0. Suppose 3*y + 23 = m*p, 5*y = -p + 6 + 25. What is the remainder when 58 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 9:48 AM?\nAnswer: 686","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -89\/2? (a) -2\/7 (b) -1\/6 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 32678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 263285110 to the power of 1\/2, to the nearest integer?\nAnswer: 16226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**6\/6 + i**4 - 24*i. Find the third derivative of u(m) wrt m.\nAnswer: -120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 249*i*v**5 - 10*i*v**2 + 52*i*v - 517539*v**3 - 86015 wrt v.\nAnswer: 14940*i*v**2 - 3105234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, d: 11}. What is prob of picking 3 d?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 131875 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: Suppose -2*d + 2*v + 40 = 0, -2*v - 55 = -5*d - 6*v. Suppose 3*p - 6 = 3. Differentiate 7*x - 3 + p*x + d + 4*x with respect to x.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.53178*1.2921\nAnswer: 0.687112938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11937*g**2 - 742*g - 735*g + 2219*g - 742*g to the form t*g**2 + f + u*g and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -17. Let m(r) be the first derivative of -2\/3*r**3 + 1\/2*r**2 + 5 + r. Calculate m(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**0)**(1\/4)\/((r\/(r\/(r*r**9)))\/(r\/r**1)) assuming r is positive.\nAnswer: r**(-39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -295?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 195*d - d**2 + 63*d - 49*d + 0 + 0 as a*d + z*d**2 + y and give a.\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 73159000 to the nearest 100000.\nAnswer: 73200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -34, -68, -102, -136, -170, -204?\n\"Answer: -34*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -8*n + 68. What is the greatest common divisor of n and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-20)\/(-8) + -2)*0. Solve v - 12 + 12 = k for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(187) - sqrt(187)*-1 - sqrt(187)))\/(sqrt(11)*2*-3)*1.\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**2 + 10455*s**4 - 66*s + 19*s + 22*s - 1 + 26*s - 10461*s**4 to w*s**3 + r*s + a + p*s**4 + i*s**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 208028131 and 4978?\nAnswer: 2489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13308*d**2 - 5501*d - 105627363 wrt d?\nAnswer: -26616*d - 5501","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u - 206 = -314 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 5, u: 3, o: 4}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 + -26. Suppose f - 5*c + 13 = -2*f, -k*f + 4*c = 4. Solve -3*t = -f*t + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/2 - ((-67210)\/752)\/(-13).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 107 + -19. Suppose 5*g - 37 = f, -4*g + f + 44 = 5*f. Calculate the greatest common divisor of t and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a + 5. Let c be 12 + ((-1)\/(-1))\/((-1)\/2). Suppose 3*q - 5*p + 0 + c = 0, q - p = -2. Let m be n(q). Solve -2*j - m = 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - 0.4. Let k = -0.1 + z. Let g(j) = j**2 + 2. Let v be g(0). Which is the smallest value? (a) k (b) v (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**7\/14 - s**4\/4 - 4*s. Find the third derivative of t(z) wrt z.\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19\/((-133)\/42)*1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -4\/5*w**3 + 18\/5*w**2 - 2\/5*w**4 - 16\/5 + 4\/5*w = 0.\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112))**2*3*4.\nAnswer: 1344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-2\/13)*i**6)\/(i**1)**(-13)*((i**(1\/2)*i)\/i)**(-2\/59)*(i*i**(2\/3)*i)**(-19\/2) assuming i is positive.\nAnswer: i**(-12665\/2301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 202978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3578921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/11, -3, 0.2345, 2\/3, 1513?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 8*j + 3. Let h be g(4). Suppose 0 = 2*o - 3*t - 231, -o + 30*t + 109 = h*t. Calculate the greatest common factor of 513 and o.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 425432402 (base 6) to base 7\nAnswer: 121102313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 943.\nAnswer: 5\/943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**3\/6 + 487*x**2\/2 - 6*x. Is f(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 0)*(v**2 + 2 - 2) - 1 + 47*v + 6*v**2 - 47*v to the form u + q*v + a*v**2 and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 6:08 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1049782861?\nAnswer: 17, 29, 881, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21 and 465\/(-285)*(-1 + 0).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z - 12*z - 29*z - 11*z + 55*z - 7*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 278 divide 35057746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 9*j**2 + j + 6. Suppose x + 20 = -x - 2*h, x + 4*h = -19. Let i be p(x). Let d = i + -12. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -179, -357, -533, -707, -879, -1049?\n\"Answer: c**2 - 181*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -27, -28, -29, -30, -31?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaxvxxx. Give prob of picking 2 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 781 and 17.3.\nAnswer: 13511.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**3\/6 - 79*t**2\/6 + 251*t\/3 - 340\/3 = 0.\nAnswer: -85, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -399 + 403. Solve 0 = 3*w + 12, -w = -4*m - q*w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 576872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7991.\nAnswer: 61, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 873651 divided by 4\nAnswer: 873651\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 9, c: 10}. What is prob of picking 1 a and 2 c?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 687, 1375, 2063, 2751, 3439?\n\"Answer: 688*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (9\/((-36)\/32))\/(-2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 390?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -344*y**3 + 9*y**2 + 154.\nAnswer: -2064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/28 of a week in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*y - 1904599 = 84*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**0)**41\/((d*d**(-5))\/d**(4\/3)) assuming d is positive.\nAnswer: d**(139\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 15*k**2 + 15*k + 20. Let v be l(16). Suppose -4 = -2*a + v. Does 9 divide -3 + (a - -4)\/4 + 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9212906184 to the power of 1\/2, to the nearest integer?\nAnswer: 95984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**4 + 224*o**3 - 1056*o**2 - 7040*o - 8000 = 0.\nAnswer: -2, 10, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 10) + -11 + -2 + 13\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 3*c - 2 = 0, 4*x - c - 9 = -6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 171 and 4788?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-9) - 8\/(-24). What is the nearest to -2\/3 in 2\/21, 1, g?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 6*o**4 - 5*o**3 - 2*o**2 - o - 1. Let g(y) = -4*y**4 + 4*y**3 + 2*y**2. Let b(d) = 5*g(d) + 4*p(d). What is the second derivative of b(j) wrt j?\nAnswer: 48*j**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0\/(j\/j**(-4\/3)))\/(j**(1\/8)*j**(-4\/3)*j))\/((j**1)**(2\/7))**4 assuming j is positive.\nAnswer: j**(-183\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 j, 1 x, and 1 y when four letters picked without replacement from xmcccjjykmmkkykykkc?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -210141224241 - 1?\nAnswer: -210141224242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -390, -447, -506, -567, -630, -695, -762?\nAnswer: -831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x - 1. Let o(c) = 2*c + 5. Let u be 2\/12*-3*(1 + 1). Let n(r) = u*p(r) - o(r). Give n(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 25 = 21 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 10:45 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-184*o**5 - 234*o**5 - 121*o**5)*((-1 + 4 - 2)*(4 + 0 - 2) + 1 + 6 - 3 + (-3 + 4 + 1)*(2 - 2 + 2)).\nAnswer: -5390*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - i + 20. Let l(x) = -13*x + 4 - i + 2. List the prime factors of l(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103 divided by -11964.\nAnswer: -103\/11964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -9311\nAnswer: -3\/9311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -4915.3008 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 709531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1\/2, 3\/64, -0.22, -5 in descending order.\nAnswer: 1, 1\/2, 3\/64, -0.22, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 1342733358?\nAnswer: -1342733357.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3 + q**2 - 2*q**3 - 2*q**3 + 4*q**3 + 2*q**3 + 5*q. Let s(u) = -6*u**3 - 2*u**2 - 16*u - 10. Let g(o) = 6*s(o) + 20*z(o). Factor g(p).\nAnswer: 4*p*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -85 + 80. Let n be ((-370)\/444)\/((-10)\/(-8)). What is the nearest to 0 in k, n, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -118 - -123. What is the third derivative of a**5 + 11*a**5 + 3*a**6 + 20*a**q - a**2 + 27*a**5 - 9 wrt a?\nAnswer: 360*a**3 + 3540*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a week in hours?\nAnswer: 1428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 0*g**2 - 4\/5*g**3 + 2\/5*g**4 - 2\/5 + 4\/5*g = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36921\/400 equal to 92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -87, -171, -287, -435, -615?\nAnswer: -827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f + 25*f**2 + 4 + 28*f**2 + 25*f**2 - 77*f**2.\nAnswer: (f - 4)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 - -34. Let a be f\/3 - (-4)\/6. Let c = 10 - a. Put 0, -3, c in decreasing order.\nAnswer: c, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p**2 + 56*p. Let j(w) = -13*w. Determine j(h(m)).\nAnswer: 52*m**2 - 728*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o**2 + 0*o**2 - 3*o**2 + (0 + 2*o + 0)*(o - o - 2*o) + 206*o**2 + 4*o**2 + 58*o**2 in the form j*o + g*o**2 + u and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -701.1 and 4.\nAnswer: -2804.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 e when three letters picked without replacement from bbwbqee.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.02 - 3. Which is smaller: 0.3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**2 - 3*d + 1. Calculate q(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98 + 73 + 45452*f - 171 + 41242*f.\nAnswer: 86694*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -a**6\/14 + 3*a**5\/35 + 3*a**4\/14 - 2*a**3\/7 - 3*a**2\/14 + 3*a\/7 + 18. Factor y(n).\nAnswer: -3*(n - 1)**3*(n + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 111610*y**5 - 484640*y**2 wrt y.\nAnswer: 6696600*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*c = -8*c - 71, 5*q - 4*c = 250. Suppose -77027 = -q*g + 29*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -301 in 16, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 1 = -16. Let t = 5 - p. Suppose 0 = b, -t*b + 63 = 3*y - 6*b. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2. Let r(v) be the first derivative of v**4\/12 + v**2\/2 - 3. Let x(p) be the second derivative of r(p). Determine n(x(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1611973, -2, -4, 5, -5.\nAnswer: -5, -4, -2, 5, 1611973","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*15\/(-66) - (0 + 2).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 45*w + 197. Let c be h(49). Put -61, 7, c in ascending order.\nAnswer: -61, c, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.90719 micrograms in nanograms?\nAnswer: 15907.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(84)\/sqrt(4) + sqrt(21)))\/(sqrt(300)*3).\nAnswer: sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 3*i**4\/2 + 2025*i**3\/2 - 360045*i**2\/2 - 366105*i\/2 + 362061 = 0.\nAnswer: -821, -2, 1, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-76 - 39 + 28)*(-2*u - u + u - 2) to the form f + k*u and give k.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 437904288 to the nearest integer?\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -555249*g**2 + 2*g. Let h(d) = 2*d. Give h(l(v)).\nAnswer: -1110498*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/63)\/((-46)\/6440*-70)?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 132 - 90. What is the remainder when p is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 36*q - 37. Let d be a(1). Let z(x) = 2*x**2 - 10*x - 10. Calculate z(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 72351754351\/54 - 1339917349. Let k = 70044 + d. Calculate the common denominator of -64\/9 and k.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3403 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**2)**(-7)\/(p**0)**21)\/(p**9*p*(p\/p**13)\/p)**(-9) assuming p is positive.\nAnswer: p**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 4*z + 2. Let j be o(4). Let n be 63\/12 - 3\/12. Let f = n + -2. Is j smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -3a7001?\nAnswer: 3a7003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 22. Suppose -4*y - 512 = -5*x - 2*y, -120 = -x - 4*y. Suppose x = 14*i - 12*i. What is the highest common factor of d and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6*u**3 - 5*u**2 - 2*u - 1. Let t be h(-1). What is the first derivative of 3*w - 3*w - 4 + 73*w**t - 13 wrt w?\nAnswer: 146*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 969\/5 bigger than 195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -3, -2, -0.0299, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -9*c**3 - 2*c**2 - 8. Let a be q(-4). Suppose -a - 906 = -2*y. Calculate the remainder when ((-1)\/1)\/((-7)\/y) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42528103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6 + 2 = 0. Let i be 1\/c + (-5)\/20. Solve -3*w + 3*g = i, 0 = -2*w + g + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3e (base 16) in base 9?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 1. Let i = -140.29 + 140.32. Which is the third smallest value? (a) i (b) -11 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51497409*t**4 + 21155576*t wrt t.\nAnswer: -617968908*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*a - 9*a = 28*a - 3650784. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14933, -14928, -14923, -14918?\n\"Answer: 5*m - 14938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1\/4, -34, -2, -0.4, -291?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1036 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (0 - (-5 + 2)) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2862*n = 2923*n - 267180. Is 4380 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2042 - -10?\nAnswer: 2052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppupppu. What is prob of picking 2 p and 1 u?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 294264 - 170563. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a factor of 197818530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 + 2*b - 1. Let d be y(-2). What is the tens digit of (-1 + d)\/(13\/104)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4*i - 172 = 0, -4*b + 6*b - 102 = -2*i. Let f = -83 + b. Calculate the common denominator of f and (-4830)\/108 + (-2)\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3456323237669317 - 3456323237669317 + 5*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 1 - 2 + 8 + f**2 - 5*f. Let b = -66 + 72. Let n be t(b). What is the greatest common factor of 13 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 8297824.\nAnswer: 7\/8297824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**6\/10 + m**5\/20 + 55*m**4\/6 + 167*m**2. Find the second derivative of b(g) wrt g.\nAnswer: -72*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1810991 is divided by 347.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -12511 (base 10) to base 9\nAnswer: -18141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p*p**(-2)*p*p)))**(-3)\/(p\/p**(-2\/19)*p**(2\/15))*(p**(2\/13)\/p*p*p*p*p\/p**0*p)**(4\/19) assuming p is positive.\nAnswer: p**(-656\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/3, -2\/9, 4, 5, 570?\nAnswer: 570","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*q + 5 = -3*g + 36*q, -5*g + 4*q = -41 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12963, 1106, -10751, -22608?\nAnswer: -34465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*y + 3 = -3, 2*y = -5*k + 18. Solve k*j - x - 14 = -j, 2*j - 16 = 3*x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/10 + (-156718)\/(-90). Suppose 6*a + 7987 = -2477. Let j = a + b. Is j at most -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a millisecond in microseconds?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -112.50293778 rounded to two dps?\nAnswer: -112.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-772)\/(-16) - (-2)\/(-8). Suppose 6*t = 3*t + d. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -310, 1501 in ascending order.\nAnswer: -310, 13, 1501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47 - 24. Let f = 103\/9 - 88\/9. What is the second smallest value in v, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2 (b) -0.9 (c) 0.082 (d) 0.3 (e) 40\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a millennium in centuries?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21494\/44 + 1\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.0079 (b) -9\/5 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 14300221 (base 5) to base 11\nAnswer: a281a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 5*o + 35 = 0, -5*j - o + 17 = 3*o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and -48 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -11*u + 45. Let t be k(4). Let d(g) be the first derivative of 4\/5*g - t + 28\/15*g**3 - 9\/5*g**2 + 4\/25*g**5 - 9\/10*g**4. Solve d(c) = 0.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/1)\/((-30)\/(-15)). Suppose -28*h**3 - 32*h**2 - z + 4*h - 12*h**4 - 14*h - 2 - 8*h - 2*h**5 = 0. What is h?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + -2. What is the nearest to 0 in 3, -1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26 or 13?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(475)*-1 + -1*sqrt(475)*-6 + sqrt(475) - (4 + (sqrt(475) + (sqrt(475) - sqrt(475)*-1) + 2 + sqrt(475))*6)) + 5)**2.\nAnswer: 1650*sqrt(19) + 106996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 + 5*l + 4. Let k be r(-3). Let o = 43 + k. Solve -5*y - 2*d + 5 - 20 = 0, 5*y = 5*d - o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -r + 7, 4*r - 2*u + 3 - 27 = 0. Let y(h) be the first derivative of 18 + 11*h + 4*h**r - 6*h**5 + 5*h - h. Differentiate y(i) wrt i.\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 3*c**2 + c + 5. Determine p(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140616 is divided by 324?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 220 (base 3) to base 5\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9 and -9392?\nAnswer: 9383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -1587*u**4\/8 + 32*u**2 + 8*u - 1. Let b(d) = -2*d**2. What is b(q(l))?\nAnswer: -45334242*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 27408194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 24 = 4*a, a - 17629 + 17635 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 9. Let m(z) = z**3 - z**2 + z. Let h(a) = a**4 - 4*a**3 + 4*a**2 + 2*a. Let c(f) = w*m(f) + h(f). What is the second derivative of c(k) wrt k?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(-2 + 8))\/(1 + 0). Suppose -3*y + 4*a + 77 + 3627 = q, 0 = 5*y - 5*a - 6170. List the prime factors of 2\/(y\/1785 - (-2)\/(-3)).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/10*-1*(-195)\/(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-14) + 236\/7. Let x = r + -19. Let s = x - 6. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.86946 decades to years.\nAnswer: 788.6946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 654224203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -243 in -1\/2, 1\/3, 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (13\/24)\/(23\/2 + -7) and 47\/12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 967 - 493. Let k = 515 - q. Is k greater than or equal to 161\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/3*1*((-384)\/(-336))\/((-13)\/1)?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u. Let o(w) be the second derivative of -749*w**4\/12 - 6950*w. Determine c(o(z)).\nAnswer: 2996*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -211, -836, -1881, -3346?\n\"Answer: -210*h**2 + 5*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 448149187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 36 = 8*q. Let l be 9 + 2 - (-15 - q)\/(-6). Let p(m) = m**3 - 7*m**2 - 9*m + 10. Calculate p(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*i**3*m**2*v - i**3*v**2 - 2*i**3 - 33521*i**2*m**2*v**2 - 73*i**2*v**2 + 3*m + 59*v wrt m?\nAnswer: -24*i**3*v - 67042*i**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322*w**3 + 1497 + 7200*w + 52*w**3 + 1871*w**4 - 2042*w**2 - 1143*w**2 - 5237 - 1876*w**4 = 0. What is w?\nAnswer: -34, -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 - 10*b**2 - 15*b.\nAnswer: 5*b*(b - 3)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -129? (a) -1155 (b) 0.5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0690123 rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 67*n + 2*n**3 + 67*n + 4*n**2 to the form h + k*n + m*n**3 + c*n**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggj when three letters picked without replacement from aagaaaagajaajja?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 470020?\nAnswer: 2, 5, 71, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 3*f + 5. Let t be z(0). Suppose -6 = -t*i + 9, 5*h + 5*i - 310 = 0. What are the prime factors of h?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-29)\/(-145))\/((-2)\/(-140)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -7*s**3 + s**2 - 2*s - 9. Let j(f) = 6*f**3 - f**2 + f + 8. Let o(p) = -6*j(p) - 5*v(p). Let g = 68 + 320. Let y = 391 - g. Give o(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wg when two letters picked without replacement from {m: 5, w: 2, c: 1, g: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, -2, -4, -3.\nAnswer: -4, -3, -2, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -9033000 to the nearest one hundred thousand.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 30673*l**2 + 89*l - 93. Is y(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61565*x**2 + 56946*x wrt x?\nAnswer: 123130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61742029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.9 (b) -9 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -86 + 196. Let y be b\/25 + 2\/(-5). Find u such that -4*u**4 - 2*u + u**5 + y*u + 4*u**2 - 3*u**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1344028 divided by 4?\nAnswer: -336007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 7*p**2 - 7*p + 16. Let c be r(-9). Let w = 84 + c. Let j be (-1 - -3) + -1 + w. Solve j*o + 3*o - 25 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 59.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z - 33 = -4*l + 21 - 14, 0 = 3*z - 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12875180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 575*k + 35 = 572*k, 0 = l + 3*k - 5 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*x - 188*x + 8*x)*(4*x - 5*x - x)*(-3*x + 2 - 2).\nAnswer: -1026*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -89\/3 - -30. Suppose 64*x + 5 + 18 = -105. What is the nearest to t in -16, -4\/3, x?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -307 + 308. What is the tens digit of (-1 - o)\/(5 - 3) - -1055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*-3 - sqrt(72) - sqrt(72) - sqrt(16)\/sqrt(2)*-5)\/(((sqrt(24) - (sqrt(24)*-2 - sqrt(24) - sqrt(24)))*6)\/(2*sqrt(600))).\nAnswer: -20*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 - 28664*m - 85956.\nAnswer: -4*(m + 3)*(m + 7163)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19871755 divided by 3974351.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 8*u - 18. Let r(w) = -3*w**3 - 6*w**2 - w + 9. Let z(i) = -2*i**2 + i + 1. Let q(n) = -r(n) + 4*z(n). What is the tens digit of q(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -7. Let i(r) = -4 + 6 + 1 + 1 - r**3 - 3*r**b. What is i(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 943?\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 325 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (1 + (1 - -5))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/69 - 538\/483. Calculate the common denominator of o and 51\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -357 - 4*m - 12*m + 14*m.\nAnswer: -2*m - 357","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*h = -155*h - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22001520 by -20.\nAnswer: -1100076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21092*t - 10549*t - 10546*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 567*u**4*y + 5*u**3*y**2 - 45149*y**2 wrt u?\nAnswer: 2268*u**3*y + 15*u**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88571.9772 milliseconds to weeks.\nAnswer: 0.000146448375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16714, -16665, -16604, -16543, -16494, -16469, -16480?\nAnswer: -16539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -273.369581 to the nearest integer.\nAnswer: -273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 7 = 3*d + 5*m, m = -5*d + 7. Solve c - d*c - 5 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 7 = -9. Let n(y) = p*y - 7382*y**2 - 8 - 5882*y**2 - 12*y. Let c be n(7). What is c rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*c - c**4 + 130 + 0*c**4 - 2*c**2 - 226 + 122 in the form x*c**2 + p*c**3 + h + i*c + w*c**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -541676940 divided by -4201.\nAnswer: 128940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n + 192 = 59 + 73 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-75) - (-48)\/(-315). Let o = 0.09 + -270.09. Let s = o - -272. Which is the third biggest value? (a) g (b) s (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000995528 rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 2*z + 4*p, 2*z = 4*z - 4*p - 10. Suppose -z*r + 28 = -17*r. Let v = -3 - r. Solve j + v*d = 9, 2*d - 6 = -0*d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/1*(11 + -9). Let d be (6\/8)\/(3\/k). Solve d*s - 1 = -3*q + 6, -4*s - 2*q = -10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*q + 27*q**4 - 115*q**4 + 44*q**4 + 62*q + 43*q**4 - 3 - q**4 + 3 + (2*q**2 + 0*q**2 - 4*q**2)*(0 + 0 + q**2).\nAnswer: -4*q**4 + 96*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -r - 276. Let y(z) = z - 1. Give s(h) - 2*y(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 137242 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 199942 or 199952?\nAnswer: 199952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 9, v: 7}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 6:33 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 4*p**2 - 2*p - 5. Let b be n(-4). Suppose -20 = b*h + 2*h, -2*h = 3*t + 3074. Let a = -98 + t. What is a rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8 - (2\/(-8) + (-2244)\/176). Solve z*c = y + 19, -4*c + 55 = 4*y + 11 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -711*a + 752*a - 93029. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3741*b**4 - 1217 wrt b?\nAnswer: 14964*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 2. Let t = 6840950.9999985 + -6840948. Let u = t - m. What is u rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83629?\nAnswer: 7, 13, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.19 (b) -5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -11\/2, 1\/3, 5, -0.2, -3\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 184061 to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 1049742?\nAnswer: 1049742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3476 * -0.2\nAnswer: -695.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(2) - (sqrt(32) + -1) - sqrt(50)*-2) + -5*(sqrt(14)*-1)\/sqrt(7))*5.\nAnswer: -60*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2376022*0.05.\nAnswer: -0.01188011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**3 + 82*z**2 + 171*z - 15. Calculate t(-39).\nAnswer: -600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 243 and 1366047.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + 12. Solve 0 = 3*k - 6 + w for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 9) to base 6.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -3. Let x be ((-3)\/(-2))\/(1*j\/(-4)). What is the second derivative of 73*c**2 - c**x + 17*c**3 - 36*c - 73*c**2 wrt c?\nAnswer: 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-36)\/(-2) - 2 - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152597.3 millennia in months?\nAnswer: 1831167600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/7650 and 103\/50.\nAnswer: 7650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(20\/(-4) - -13).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -35*s + 10. Let r(z) = -70*z + 19. Let m(d) = 4*r(d) - 7*x(d). Calculate the remainder when m(-2) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -4*c - 11 - 20 + 9, -12*h = 4*c - 9*h + 11 + 7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 2 - 17. Let v = -36029.8 - -36029. What is the smallest value in m, v, 4\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 12*f. Let r(a) = -a - 1580. What is v(r(x))?\nAnswer: -12*x - 18960","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 13*f - 46. Let s(i) = -3*i + 11. Let o(u) = 9*s(u) + 2*y(u). Let k(t) = -t**3 - 13*t**2 - 21*t + 5. Let l be k(-11). Determine o(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 7*s**2 - 33*s + 4. Let z be n(5). Suppose 6*h + h = z. Solve x - 6 = -3*g + h*x, -2*g + 4 = -2*x for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**3 + 3*r**3 - 2*r**3 + 5*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*21\/(-9)*-3. Suppose -h - v*u + 3*u = -16, h - 5*u = 43. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 768 + 749 + 321*z**3 - 7*z - 1517 + 7*z.\nAnswer: 321*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/1724653?\nAnswer: -4\/1724653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 5. Suppose -t = k*f - 4*t + 15, 2*f = -4*t + 20. Suppose f = 2*q - 4*q + 76. What is the greatest common divisor of q and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 556, 2\/9, 3\/2, 0.1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 8, v: 1, c: 4, f: 3, h: 1}. Give prob of sequence vc.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 101*j + 11. Let k be x(-6). Let i be 2\/10 - k\/25. Solve -3*o - 26 + 9 = 2*z, 0 = 3*z + 4*o + i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)*4 + 2 + 4 + ((5*(sqrt(120)\/sqrt(2) + sqrt(60)))\/(1*sqrt(768)))**2.\nAnswer: 221\/16 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 4*j - 2. Suppose 2*b + h - 2 = 0, h - 4 = -5*b + 4. Let d(y) = 2*y**b + y + 0*y - 6*y - 3. Let x = -2 - 0. Determine x*d(z) + 3*l(z).\nAnswer: -z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14715341 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**3 + 29*t**2 + 32*t - 263. What is l(15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h**3 + 4*h**2 + h**3 - 1 - 6*h**3. Let v be o(4). Let p = 92.1 - 92. Which is the closest to v? (a) p (b) -3 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s*s**(1\/20)*s\/(s**3*s) assuming s is positive.\nAnswer: s**(1\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*j + 1 + 29 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tookpdkpktkotpppoo. Give prob of sequence oooo.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(133)*3*-1)\/(((sqrt(77) - (sqrt(77)*-2 + sqrt(77)))*3 + sqrt(77))\/sqrt(11)).\nAnswer: -15*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -14*t**3 + 11*t**2 + 20*t. Let b(y) = 5*y**3 - 4*y**2 - 7*y. Let s be (-1)\/((-8)\/(-20) + 27\/(-55)). What is s*b(o) + 4*q(o)?\nAnswer: -o**3 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 8:20 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 370 in 30, 4\/61, -3\/8, -0.5?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(396) + sqrt(396) + sqrt(396) - ((-1*sqrt(396) + sqrt(396) + 0)**2 + sqrt(396))) + (1*sqrt(396) + -3 - -2*sqrt(396)*-1)**2.\nAnswer: 6*sqrt(11) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, 0.1, 33356 in increasing order.\nAnswer: 0.1, 2\/19, 33356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15284969899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 834 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 - 8*o**4 + o**4)*(4 - 5 + 2) to p*o + d*o**2 + a*o**3 + i + y*o**4 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(sqrt(9)*1) + 0.\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -423.7 rounded to the nearest 10?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12885833.\nAnswer: 83, 155251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -13, 301, 1, -53 in increasing order.\nAnswer: -53, -25, -13, 1, 301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12308 and 5576248?\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + v = 4*j + 3665, -3*v - 5*j = -10944. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 0.8506\nAnswer: 4.253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 - 4) + -2 + 8. Suppose m - 2 = -m. Let p = 7 - m. Which is smaller: p or j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -83 - -85. Suppose k = 2*l - 6. Suppose 0 = -l*q + 496 + 152. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -742*r + 11695 + 503 + 1462 = 624*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -346 + 351. What is the third derivative of p*b**3 - 64*b**2 + 4*b**5 - 68397 + 68397 wrt b?\nAnswer: 240*b**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6360)\/(-960) - (-6)\/16.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37369037 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 - 644599*r + 644599*r + 7986*r**4 + 2*r**3 + 34280*r**4)*(r - 1 + 1).\nAnswer: 42266*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14.432 + -14.332. What is the third smallest value in 3, d, -1\/8, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*w = -360. Let j be ((-4)\/(-6))\/(3\/w). Suppose 0 = -p + 4 + 6. What is the greatest common factor of j and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 34. Suppose 0 = -2*i - b + 4, -b + 20 = 3*i + 4*b. What is the remainder when y(19) is divided by 1\/(-1) - (-10 + i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1590*q + 31 = 1637*q + 783 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 5*q + 0*q)*(-2*q - 3*q + 0*q) + 4*q - 4*q + q**2 + 4 - 4 - q**2 + 2*q**2 + q**2 - 4*q**2 + (-2*q - q + 4*q)*(-q + 1 - 1).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/19)*(x\/((x\/(x\/(x*((x*x\/(x**(7\/2)*x))\/x)\/x)))\/x))\/x*(x**(3\/5)*x*x)\/(x**(-3\/5)*x))**10 assuming x is positive.\nAnswer: x**(1263\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f + 18. Let q be u(15). Let v be 41896 - (0 - q - 1). What is v rounded to the nearest 1000?\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2 = -2. Suppose j*v = -0*v. Let i be 0\/(-4) + 12\/10. Which is bigger: v or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 41411 to the nearest one thousand.\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11\/5, -6\/19, -0.2, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from bbnvvlbbnvvl?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1104 and 4416.\nAnswer: 4416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.2 - 0.2. Let y = p + -0.93. Are y and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 277*y - 2*y**2 - 277*y. Let k(h) = -h - h + 3*h. What is k(c(d))?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y - y + 11*y + 13*y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 326.9225 centimeters?\nAnswer: 0.003269225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2235\/11 + 203. What is the fourth biggest value in -4, q, 2, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t**3 - t**3 + 3*t**3 + (-119 + 119 + 80*t**2)*(-5*t - t - 2*t))*(0*t + 2*t - t) to g + b*t**2 + f*t + r*t**4 + d*t**3 and give r.\nAnswer: -642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(1 + 3\/2). Let g(z) = 2*z**3 + 2*z**2 - 3*z + 12. Let n be g(w). Suppose 0 = -l + 3*v - 775, -2*l - 1263 = -4*v + n. Round l to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -27*h**3 + h**2 - 1. Let k be m(-1). Let j = k - 27. Let q(i) = i**3 + i**2 - i + 9. Determine q(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k = 9*k + 10. Suppose -k*p = -p + 23200. Round p to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38736 is divided by 3519.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 977 + -578. What are the prime factors of n?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 8*n + 25. Determine v(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02461364937 rounded to 3 decimal places?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-25) - (-4)\/(-5). Let z be -1*(h - (-1 + 1)). Is (-668)\/(-10) + z\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 67 + 1 + 0 = 0 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tgpjjey. Give prob of picking 2 j, 1 p, and 1 t.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1600366 - -1598493.0075. Let m = n + 1855. Let j = m - -18. What is j rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01332 rounded to 4 dps?\nAnswer: 0.0133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 103686906331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p - 5. Let c = -18 + 20. Let x(k) = -2*k + 2. Let i(d) = -3*d + 2. Let l(a) = 3*i(a) - 4*x(a). Give c*v(j) - 5*l(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2. Let n = 2 - 0. Let y(q) = 2*q - 3*q - n*q. Give u(y(b)).\nAnswer: 27*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7922 = -3565*j + 3332*j for j.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-117 - 45 + 7 - 115)*(w**5 + w**2 - w**2).\nAnswer: -270*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2119436 divided by 3509\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 16*q**2 - 225*q + 6. Calculate z(-25).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1391, -5566, -12521, -22250, -34747, -50006, -68021, -88786?\n\"Answer: j**3 - 1396*j**2 + 6*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -8*k + 46, -18*q - 11*q + 16 = -24*q + k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 5) + (9 - 8) + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t**2 + 2*t**2 - t**2 + 14*t**2.\nAnswer: 25*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 2 - -6 - (-4)\/(-8)*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61574.33 litres?\nAnswer: 61574330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1336205026?\nAnswer: 2, 13, 251, 204751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/5 + 292*w\/5 - 624.\nAnswer: 2*(w - 10)*(w + 156)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 619 + -618.999997416. Round z to 7 dps.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-5)*o)\/o)\/o**(2\/3)*((o\/(o\/o**(-16)))\/o)\/o*o\/(o\/(o*o**(-2\/31))*o*o)*o assuming o is positive.\nAnswer: o**(-2207\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -41 - 11*q + 41 in the form o*q + n and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 12 = -0*z. Suppose 4*m = 4*j + 24, m + j = 4*m - 12. What is the remainder when (-5)\/(-10) + 42\/z is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k**5\/5 - 99*k**4\/5 + 34*k**3 - 14*k**2 - 19*k\/5 + 9\/5 = 0. Calculate k.\nAnswer: -1\/3, 1\/3, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-9\/5)*r*r*r*r*r**(-16)*r)\/((r**(-13)\/r)\/(r\/(r*r**(-3\/17))*r*r)))**4)**(-10\/7) assuming r is positive.\nAnswer: r**(-2976\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 8919.49.\nAnswer: -8920.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -9*w - 5. Let b(t) = 14*t + 8. Suppose 5*v + 20 = 5*z, v + 4*z = -3*v - 24. Calculate v*b(q) - 8*g(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 h when four letters picked without replacement from {h: 9, u: 1, f: 1, p: 7}?\nAnswer: 49\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-3\/16)\/o*o*o**(1\/2)*o*(o**(-4)\/o)**(-49))**(-11\/6))**11 assuming o is positive.\nAnswer: o**(-159599\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 644, 756, 866, 974?\n\"Answer: -b**2 + 115*b + 530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - r + 832 = 0, 0*r = f - 4*r - 208. Let j = f - 206. Let -2*x**4 + 0 + 2\/7*x + 2*x**j - 24\/7*x**5 + 22\/7*x**3 = 0. What is x?\nAnswer: -1, -1\/3, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 81\/29? (a) -2\/11 (b) -2 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 3. Let k(t) = -159*t - 3. Calculate -2*i(m) - k(m).\nAnswer: 161*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7*u**2. Let z(r) be the second derivative of 8*r + 0 + 0*r**3 + 1\/6*r**4 + 0*r**2. Determine b(z(a)).\nAnswer: -28*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 - -3.6. Let u = -4.86 + 4.5. Let g = u + 2.36. What is the closest to -0.2 in w, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7429098 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 435 or 436?\nAnswer: 435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 4:43 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*k**2 - 21390*k - 1156 = 0.\nAnswer: -289, -2\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 12*a - 10. Let r(n) = n**2 - 9*n + 7. Let h be r(6). Let l be p(h). Suppose -l = 5*y - 16, y = 5*u - 7352. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-42)\/35)\/(18\/20).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2440551*g + 9762205. Calculate b(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 4*m = 32, -a - 21*m + 24*m = 0 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 114 = -2*i - 239, 0 = -d + 4*i + 121. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/7, 2, -5, 2\/35?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -4, -27 in descending order.\nAnswer: 1\/3, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.08, -10.8 in ascending order.\nAnswer: -10.8, -0.3, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*t - 9 = -39*t + 3*y, 0 = 2*t + y + 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -106 + 119. What is the remainder when 62 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 3 (c) 1\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*p - 1 = 1, -5*l - 3*p = -21. Suppose l = x - 1. Let a(f) = 3*f - 78. Let j be a(28). Solve 0 = -y - j + x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2499988 = 4*h, 2*h = 4*h + m - 1249996. Round h to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -333 * -0.02.\nAnswer: 6.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l + 3. Let p be (15 - 15)\/(0 + -2) - 2. Let i(b) be the first derivative of -7*b**2\/2 + 6*b + 21. Calculate p*i(w) + 5*f(w).\nAnswer: -w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 95 = 165. Suppose -41*s + 42*s = k. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*p + 840 = -156*p for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -117\nAnswer: 23.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*g - 5*i, 3*g + 3*i = -0*i - 3. What are the prime factors of ((-1)\/g)\/((-3)\/(-210))?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 0 - 5 + 40*y**2 in the form w*y**2 + d*y + h and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - -15. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14604, -14996, -15386, -15774, -16160, -16544, -16926?\n\"Answer: m**2 - 395*m - 14210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*v - 386 - 647 + 221 for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 12 = 4*a. Suppose -3*i + a*t + 48 = 0, -t + 128 - 25 = 5*i. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 136951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7189.341g in milligrams?\nAnswer: 7189341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3, -45, -161, -387, -759, -1313, -2085?\n\"Answer: -6*k**3 - k**2 + 3*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 194570, 194505, 194440?\n\"Answer: -65*t + 194635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 11 + 4 = 0, -5*j + 2*d = -39. Let i be (-1 - 23)*j\/(-6). Let w = i + -26. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (77\/7)\/11*3\/(-195)*-2\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14065 to the power of 1\/2, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 96. Suppose o*w - 79*w = -4*x + 178, -w + 2 = 0. Calculate the greatest common factor of x and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**2 - 2*y - y**2 + y - 10*y.\nAnswer: -y**2 - 11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/134904 and -63\/64.\nAnswer: 1079232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 48419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 14 = -24 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -189, -273, -345, -405, -453, -489?\nAnswer: -513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**4 - 59746*c**3 + 420*c**2 - 237.\nAnswer: 48*c - 358476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 606 - 417 = 64*f - 643 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 0*j**2 - 1\/3*j**3 + 2 + 0*j. Let k(i) = -54*i**2 - 49*i**2 + 105*i**2. Determine q(k(w)).\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3683232 is divided by 12789.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + -5*((sqrt(475) + 0)**2 - (sqrt(19)*-2 + 2)) + (1 + sqrt(19)*2)*-4*-1 + -5).\nAnswer: 4*sqrt(19) + 4736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 b when two letters picked without replacement from {j: 9, g: 5, b: 1, k: 1}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -137*a**3*j**2*o**3 - 11*a**3*o + 45*a**2*j**2*o**3 - 6*a*j*o**2 + 6*j**2 - 2*o**2 wrt o.\nAnswer: -822*a**3*j**2 + 270*a**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230047 is divided by 45991.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 13*m**3 - 5*m**2 - 287*m - 852. Determine g(-3).\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2746, -2, 4 in descending order.\nAnswer: 4, -2, -2746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -655533*b**2 - 477794*b wrt b?\nAnswer: -1311066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -1\/6*w**3 - 1\/2*w**2 - 3\/20*w**5 + w + 0*w**4 + 0. What is the units digit of g(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6311 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xs when two letters picked without replacement from xxxsxxs.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.05624775 - 302405.\nAnswer: -302415.05624775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**5 - n**5 + 3*n**5 + (-n**2 + 2*n**2 + n**2)*(2*n**3 + n**3 - 5*n**3) - 130*n**2 + 2*n**5 + 259*n**2 - 132*n**2 - 66*n**5.\nAnswer: -66*n**5 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + i = -1785, -5*j + 4*j + 336 = 4*i. Suppose 5*m - 1356 = -j. Calculate the greatest common factor of m and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378712903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 3*m = -0*r - 2*m - 28, 90316*m = -3*r + 90312*m + 87 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 7*q - 3*q + 11*q + (-28 - 37 - 35)*(-q + q - 2*q) as g*q + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 110.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -v - 5, -5*u + 0*v + 26 = 2*v. Solve -9 = -u*h + h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, q: 1, z: 2, s: 6, g: 3}. Give prob of picking 1 g, 1 s, and 1 v.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 16*y. Let l(f) = -f**2 - 8*f. Let k(n) = -h(n) - 2*l(n). Let j(w) = 7*w**2 + 261. What is j(k(a))?\nAnswer: 7*a**4 + 261","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-328 - 79 + 12 - 114)*(-4*h + 4*h - 3*h)*(-3 + 3 + 1).\nAnswer: 1527*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from {y: 3, f: 5, k: 1, u: 5, j: 4}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17\/77613163 or 1?\nAnswer: -17\/77613163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14629*r - 7428*r = 7335*r + 7772 for r.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 7. Let s be j\/(-3*(-3)\/54). Solve -5*c - s = 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 100990972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4758 is divided by 1033.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4*t**2 - 3*t - 14. Let c be v(-4). Let f(a) = -62 + c - 12*a. Let s(k) = -3*k**2. Calculate f(s(u)).\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 3*a**2 + a + 251. Determine i(0).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15511500 (base 7) to base 12.\nAnswer: 603450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r**2 + 2*r + 9. Let x be g(-7). Round x to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -50341573*f*j - 192020502*f + j**2 wrt j?\nAnswer: -50341573*f + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.8397 to 1 decimal place.\nAnswer: -22.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3 = -11. Let a = c - -3. Suppose -4*j + 4 = 2*t, 3*t = 5*j + 4*t - 8. Put 1, j, a in increasing order.\nAnswer: a, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 698*a**4*g - 3*a**4 + 258*a**3 + 14*a*g + 33*a + 394 wrt a.\nAnswer: 8376*a**2*g - 36*a**2 + 1548*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 12*c + 16. Let p(f) = 5*f**2 - 60*f + 81. Let t(s) = -11*h(s) + 2*p(s). Let m be t(10). What is the highest common divisor of 78 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 222042 + 42?\nAnswer: 222124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2030 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 - 6*m**2 + 4*m**2)*(m**2 - m**2 - 5*m**2 + m**2 + 4 - 4 + 2*m**2 - 5*m**2 + 2*m**2 + (2 + m - 2)*(m + 2*m - m) - 3*m**2 + m**2 - m**2).\nAnswer: 30*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*i = 0. Suppose -9*a + 2*a = -98. Suppose -3*c + i*s - 2*s = -a, 17 = -c - 5*s. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -71 and -7.1244.\nAnswer: 505.8324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - j. Let r(k) = -7*k**3 + 6*k**2 - 3*k. Let z(i) = r(i) - 3*s(i). What is the third derivative of z(c) wrt c?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 205 + -116. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -866.82 * 2\nAnswer: -1733.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-6)*s**(1\/13)*s*(s\/(s**(-2)*s))**(19\/5) assuming s is positive.\nAnswer: s**(174\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 59 = -64, -4*q - 4*t + 2*t - 2 = -48 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 9 + 88)*(6*w + 4*w**3 - 6*w + (-3*w + 0*w + 2*w)*(-2*w**2 + w - w) + w**3 + w**2 - w**2).\nAnswer: 455*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 10563510.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3 + 2*sqrt(567) + sqrt(567) + 3) - ((sqrt(77) + -1*sqrt(77))*-6)\/(sqrt(44)\/sqrt(16)))**2.\nAnswer: 45927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 6*c**2 + 2*c - 7. Let d be h(6). Suppose d*w + 244 = w. Let q = w + 301\/5. Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - z + 2. Let y = 11 - 11. Is z not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -665 (base 11) to base 10\nAnswer: -797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/15, -14, 2, -3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12086 = -5*n - m, n - 3*n - 4*m + 4820 = 0. Let y = n + 148. Suppose -v - 5034 = y. What is v rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -29, -47, -77, -125, -197?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.24236 - -0.3578. Let z = q - 0.6. Round z to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -212233 - 13300021?\nAnswer: -20112320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 308, -5, 3, -38, -1, 2, 0 in increasing order.\nAnswer: -38, -5, -1, 0, 2, 3, 308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9473, -37856, -85095, -151136, -235925, -339408, -461531, -602240?\nAnswer: -761481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 678495751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6769785?\nAnswer: 3, 5, 11, 89, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/154*7*22?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*r + 414 = -160. Which is the fourth smallest value? (a) r (b) 0.1 (c) 4 (d) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of o**3\/3 + o**2 - 2*o + 3. Let k = -13 + 9. What is the units digit of j(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -188 - -218. Calculate the remainder when k is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*c + 6*c**3 + 24 - 39*c**2 + 45*c**2 - 25 to s*c + x*c**3 + n*c**2 + w and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1050402.\nAnswer: 2, 3, 175067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 229, 488, 861, 1354?\nAnswer: 1973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -253\/6 + 943\/24. Let s(l) = -2*l**3 + 14*l**2 - 6*l + 10. Let p be s(10). What is the common denominator of b and 6\/16*p\/15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 476528936?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1452 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 926327713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-159)*(-732)\/(-976)?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*c + 33*c = a + 33, -5*a - 19*c = 164 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1784797 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15\/124 + -4\/31. Let l(s) = -s**3 - s + 22. Let d be l(0). Suppose 2*x - d = 4*c, -2*x + 17 = -0*x - 3*c. What is the third biggest value in v, -0.5, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + 1)\/((-5)\/2 - -4). Put -1, i, -11 in ascending order.\nAnswer: -11, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -146*w. Let v(g) = -148*g. Determine -3*v(h) + 2*y(h).\nAnswer: 152*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/75 (b) 1 (c) -2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2 + 11*g)*(-28*g**2 + 84 - 84).\nAnswer: -308*g**3 - 28*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -12. Let f(r) = -r**3 + 3*r + 3. Determine f(d).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 312 and 21954?\nAnswer: 1141608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 9*x**2 - x - 17. Let p be (-14)\/(1 + -2 - (-4 + 1)). Let c be i(p). What is the highest common factor of c and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359394 is divided by 43.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/485 and -77\/1140?\nAnswer: 110580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*r = 58*r + 14. Let c(i) = -5*i + 3 + 5*i + r*i + 1. Give c(-11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 105993 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1071, -1136, -1201, -1266?\nAnswer: -1331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(-2))**(-3\/7))**44)**(-7))**8 assuming q is positive.\nAnswer: q**(-2112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 9, 4 in decreasing order.\nAnswer: 9, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -145*a**3 - 21*a**2 + 3*a - 12. Let n(j) = j**3 + j**2 - j + 3. Let z(y) = -b(y) - 4*n(y). What is the third derivative of z(w) wrt w?\nAnswer: 846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5698 + ab?\nAnswer: 5765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (78 - 40*s**2 + 42*s**2 - 120)*(2*s + 26 - 26) to j*s + p*s**3 + r*s**2 + m and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dnd when three letters picked without replacement from {d: 2, n: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 2*u - 16, -7 - 13 = -5*u. Let c = 22 - 18. Differentiate 2*x**4 + y*x**4 - x**c + 2 wrt x.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m**2 - 6. Let a(t) = t**2 + 1. Let k be 14\/3*(-72)\/(-28). Suppose -6*r = -8*r - k. Let l be 36\/44 + r\/(-33). Give l*g(v) + 4*a(v).\nAnswer: -v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -5, 4\/5, 14\/9, 2\/23?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - (2 + -4)) + (5 - 15) + -19 + 22.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18202819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**2. Let m(o) be the first derivative of 10*o**3\/3 - 20. Give j(m(a)).\nAnswer: 300*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1498 + 1519. Solve -11*d + h = 32 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 69.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3*v = 77, 0 = -v - 2*v - 12. Suppose 23*w - 53*w = -22*w + 128. Which is smaller: q or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 1)*(11970*r - 6 + 28 - 11978*r) to the form o + f*r and give o.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -n + 5*n**4 + 2*n**3 - 6*n**4 + 7*n**2 + n**4 + 7*n**4 as o*n**3 + a*n**4 + p + b*n**2 + u*n and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -19762 times 0.04?\nAnswer: -790.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) -21\/5 (b) -0.2 (c) 4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -9. Let u(v) = -2*v + 6. Let f(c) = c**2 - 4*c - 4. Let a be f(0). What is the lowest common multiple of u(a) and b?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/14 + 28\/56 + 14 + 2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -147.65 + 147.25. What is the third smallest value in 669, 2\/15, -0.2, l?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*1 - (-20)\/5. Let k be 10\/q*(-126)\/(-35). Are k and 12 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 10*t**3 - 7*t + 7. Give r(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**1)\/t*t)**2*((t*t**0)\/t)**(-1\/44))\/((t\/(t*(t\/(t**(-1\/8)*t))\/t))\/(t*t**(-3)*t*t))**(-1\/17) assuming t is positive.\nAnswer: t**(551\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 129830011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 - -43. What is the remainder when 39 is divided by c\/3*7\/(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 30 - (4990 - 4981)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32807 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38399.\nAnswer: 19, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*q + 59550 = -62372 + 11786. Which is greater: q or -2823?\nAnswer: -2823","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1395?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 9 = 0, -2*r + 4*r - 22 = -4*j. Put -5, r, -6 in increasing order.\nAnswer: -6, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*q - 850 = 20*q - 265 for q.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1385*h - 2742*h + 1368*h + 99 = 0 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73104217, 146208434, 219312649, 292416862, 365521073, 438625282, 511729489?\nAnswer: 584833694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12522.\nAnswer: 2, 3, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(-3 + 70\/21). Is y greater than -5\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 869314 and 194?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.62945 micrometers to millimeters.\nAnswer: 0.00562945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/((-16)\/3))\/((-6)\/(-16)). What is the units digit of n + (-252)\/66 + 6726\/33?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d + 0*d - d)*(13*d + 318*d - 18*d) in the form k*d + h + o*d**2 and give o.\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 2*o - 33, 4*a + 0 = -6*o - 54 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, z: 4, r: 1, e: 2, u: 1}. What is prob of sequence ze?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18379487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 242.91 + -237. Round l to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + (1\/1)\/(-1). Suppose -16 = 2*d + k*z, -2*d + 2*z + 7 + 5 = 0. Let l(y) = 2*y**2 - y**2 - 2*y**d. Let h(o) = -o**2. Determine h(l(j)).\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 1. Let s(k) = k + 1. Let v be s(0). Let x(p) = -3*p**2 - 2*p + 4. Calculate v*x(q) + 2*u(q).\nAnswer: -q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28818*w - 14387*w - 14358*w.\nAnswer: 73*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 11:44 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q*q*(q*(q\/(q**3\/q*q*q*q))\/q*q*q)\/q))\/q*q*q\/q**2 assuming q is positive.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**7\/105 + s**6\/20 + s**5\/15 + 6*s**2. Solve l(z) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2570.7? (a) -3 (b) -3\/5 (c) 0.5 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -13249 * -10444\nAnswer: 138372556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 5. Let x = b - 4.4. Let n = 569.3 - 571.3. What is the nearest to n in x, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13001202 - -104000?\nAnswer: 13110202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72 + 191. What is the units digit of m + 1 + -4 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/140 and 2\/(-9 - 1)*3811\/(-1133).\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*s**3 - 8*s**2 - 6*s**3 - 9 + 8*s**2 wrt s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + m + m)*(-5*m**4 + 3*m**4 - 11*m**4 + 0*m**4 + 2*m**4 - 4*m**4 + (4 - 2 + 0)*(3*m**4 - 2*m**4 - 3*m**4)).\nAnswer: -57*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/3 - 56*h\/3 + 784\/3.\nAnswer: (h - 28)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, o: 3}. What is prob of sequence roo?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 15. Let o(a) = -a**3 - 6*a**2 + a + 8. Let q be o(-6). Suppose 4*k = q*t + y, -4*t + k = 2*k - 9. Is 3 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 9, w: 2, n: 7}. Give prob of picking 2 x.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1630\/17*k - 2\/17*k**2 + 96 = 0.\nAnswer: -816, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 - (31 - 25) - 29\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m + 1. Let v(k) = 3*k. Let u(x) = 6*g(x) + 5*v(x). Determine u(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62095735*q**3 - 2*q**2 - 4911999*q - 1 wrt q.\nAnswer: -372574410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -3553\/5427 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 312074717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (((sqrt(192) + 0 + sqrt(192) + sqrt(192))*-1 - sqrt(192)) + (sqrt(192) - -1*sqrt(192))*-6)**2)*2*4.\nAnswer: 393176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 8. Let s(h) be the second derivative of h**3\/6 + 4*h**2 - 943*h. Determine 4*k(j) - 3*s(j).\nAnswer: -3*j + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11167211 (base 8) to base 13\nAnswer: -669888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/20 - 14\/24.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 71, 72, 71, 68, 63, 56?\n\"Answer: -w**2 + 4*w + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 48*i + 1663. Is o(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7900339.\nAnswer: 23, 53, 6481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 2*m**2 + 2*m + 1. Let p be v(-5). Suppose 6*n = 3*n + p. Let z = 31 - 19. Calculate the remainder when n is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/152 and -107\/96?\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2259 + 4009. Suppose s = 2*x - 2998. Suppose 200 - x = -2*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g. Let s be (62\/(-527) - (-38)\/34)\/(-1). Let z(m) = 1. Give s*v(r) - 2*z(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - y + 4, -1 = -m - 3*y + 11. Suppose 2*z = -m*z. Which is the fourth smallest value? (a) z (b) 0.1 (c) 1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 0.5, -11, 4084\/9.\nAnswer: -11, 0.5, 1, 2, 4084\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/2 - 16*-8. Let r(w) = -1 - 5*w + 4 - 1. Let d be r(-2). Calculate the greatest common divisor of j and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 58947.51 days in milliseconds?\nAnswer: 5093064864000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-24)\/9)\/4)\/3. Suppose 296 = 2*r + 2*l + 276, 4*r - 5 = l. Which is the closest to 1? (a) 14 (b) r (c) z (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-4)*476\/(-21) + 2. Let l be (-2)\/((-8)\/3 - -2) - w. Suppose -4*z = -587 + l. Is z a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**4\/3 + 1492*m**3\/3 - 52364*m**2\/3 + 483740*m\/3.\nAnswer: -4*m*(m - 335)*(m - 19)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71 - 69. Suppose 2*g + 3*g - 25 = 0. Suppose g*o - c*o - 4*h = 52, -5 = -h. Is 17 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27300)\/(-171360) - (2\/48 + 0)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111000111 - 100?\nAnswer: -111001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2*h + 5*l, -4*h + 10 = -3*l + 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 3*f**3\/5 - 861*f**2\/5 + 13497*f - 165735 = 0.\nAnswer: 15, 127, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 44505 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 3358*p + 6 + 0.\nAnswer: -3358*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -7*s + 10*s. Suppose w = -s*w + 844. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(35)\/((sqrt(50) - (sqrt(200)\/sqrt(4) + sqrt(50)))\/sqrt(10)).\nAnswer: -sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/948 and 145\/25374?\nAnswer: 4009092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 111 = 2*q, -3*q - 99 = -5*q - k. Suppose q = -69*x + 72*x. What is the remainder when (-194)\/(-4) + 1\/(-2) is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -4. Suppose o - 5*d = -4*o + 259995, -259998 = -5*o + k*d. What is o rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -7*y + 17. What is the second derivative of 4*k + 2*k**3 + 13*k**5 - y*k - 2*k**3 wrt k?\nAnswer: 260*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 8. Let j = 38 + -30. Suppose -20 = -5*s + 2*c - j, -2*c + 8 = 5*s. Solve -m + s = g for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10850 divided by 350.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = m + 82, 3*k + m + 3*m = -56. Let g be 29\/5 + k\/20. Solve -g*v - 1 = 14 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 287 + 243. Suppose -22 + v = 4*u. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7732363 divided by -2.\nAnswer: -7732363\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4*(sqrt(45))**2 + -2 + 5)*-6.\nAnswer: 1092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/2*(126\/24 + -7). Suppose 0 = -4*k - p*k + 5280. Is 25 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 2)*(-3*u**3 + 3*u**3 - 3*u**3).\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9, l: 3}. What is prob of picking 3 l?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or -152?\nAnswer: -152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1724? (a) -5 (b) -2\/25 (c) 0 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7855, 62601, 211143, 500377, 977199?\n\"Answer: 7816*i**3 + 2*i**2 + 28*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 679865 is divided by 2548.\nAnswer: 2097","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 340*y**3 + 10*y**2 - 3. Let n(j) = -171*j**3 - 4*j**2 + 1. Calculate -5*n(u) - 2*x(u).\nAnswer: 175*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 28*f**2 + 30*f - 57. What is u(29)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = -10*c + 4554. Let w = 252 - c. What is the third biggest value in -0.13, w, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8644680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.9 - 0.94?\nAnswer: 3.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -121\/4, -1233, 4?\nAnswer: -121\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 87 = 26*o. Suppose -15*h + 48 = -3*h. Solve o*v = h - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3845\/4 + 962. Factor -3\/4*w**2 - 3\/2*w - p.\nAnswer: -3*(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 110.37 - 251.49. Round i to the nearest integer.\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**(-3)\/((u*u**(-1)\/u)\/u)**(-26) assuming u is positive.\nAnswer: u**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7867725.3ns in hours?\nAnswer: 0.00000218547925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2533*o = 2551*o - 108 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, 2\/7, 6269, 3, -0.13, 16?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(7) + -3*sqrt(35)\/sqrt(5) + (sqrt(175) + -2)**2 - 6*((1 + sqrt(847))**2 + 3 + sqrt(847))).\nAnswer: -4929 - 220*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k**2 + k + 2. Let s be p(2). Suppose 10*o + 934 - 1134 = 30*o. Calculate the common denominator of 23\/8 and (-1338)\/(-270) - (s\/o - -2).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a00b10 + -5?\nAnswer: a00b07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*u**3 + 15*u**3 - 5*u**3 + 2*u**4 + 0*u - 2*u - 2 - u**2 to k*u + r*u**2 + w + n*u**3 + d*u**4 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - c**2 + 3 + 6 + c**2. Let s(z) = -5*z - 6. Let q be s(-3). What is the units digit of r(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 48.964965 to 0 dps.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -232947*r - 53. Let k be b(1). Round k to the nearest 10000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 22 - 8 = 0. What is the remainder when 104 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6714098000 to the nearest 1000000.\nAnswer: -6714000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2227446, -2227448, -2227452, -2227458, -2227466, -2227476, -2227488?\n\"Answer: -i**2 + i - 2227446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3320*o - 1105*o - 1106*o + 2*o**3 - 1104*o - 2*o**2 to d + m*o + h*o**3 + f*o**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 h when three letters picked without replacement from {h: 10, t: 6, o: 1}?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 1. Let j be d(3). Let l be (j\/(-4)*-2)\/1. Are -2\/37 and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 587017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/30*5\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 - -5.04. Let l = 4.44 - 0.04. Let c = -3.4 + l. Put i, -1, c in decreasing order.\nAnswer: i, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*u + 89*u - 87*u = 64*u - 9842 for u.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 2*l - 4*l = 18, 3*k - l = -20*l - 15 - 108 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 816 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 144 or 290?\nAnswer: 290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (12 + 1 - 6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 6*m - 4. Let x(s) = -s**3 - 6*s**2 + 6*s + 2. Let q be x(-7). Let d = 12 - q. Let y be r(d). Solve 4 = -y*i - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*w**5 + 4*w**2 - 4*w**2 + (78 + 26*w - 78)*(3*w**4 - 2 + 2) - 2*w**5 - w**5 + 5*w**5.\nAnswer: 111*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1371535 by 5.\nAnswer: -274307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117992, -118246, -118670, -119264?\nAnswer: -120028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 3*l + 8. Let t be p(12). Let b = 173 - t. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 244\nAnswer: 48.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (30\/(-4))\/1*186\/279. Does 19 divide (-44)\/(-33)*u\/((-10)\/267)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 2)*(-68 - 14*s + 68 + 2 + 2*s - 2 + 0 + s + 0 + (4 - 1 - 5)*(4*s - 5*s + 0*s) - 1 + 1 + s + 0*s + 2*s + 0*s).\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -26*k. Let d(g) = -7*g - 4. Let r(i) = -9*i - 5. Let p(z) = -5*d(z) + 4*r(z). Give p(a(j)).\nAnswer: 26*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221 = 4*s + 121. Suppose 0*x + s = 5*x. Suppose 0*b = x*b + 2*v - 138, -b + 10 = -4*v. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1370462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l - 4. Let g be y(-3). Let w = g - 8. Let z be -2 - w\/4 - 0. Is 1 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5437*b + 5439. Calculate l(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53\/2 + 27. Let f = 0.75 + -45.75. Which is the second smallest value? (a) k (b) 2\/9 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 223*i**2. Let n(s) = -1415*s**2. Calculate g(n(a)).\nAnswer: 446496175*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -41?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -0.3. Let g = t - -0.1. Let p = 0.2 + g. What is the smallest value in 2\/3, p, 1\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 7621\/148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5156 plus -0.04?\nAnswer: 5155.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**4 + 4*g**3 - 8*g**2.\nAnswer: 4*g**2*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s**3 - 5*s**2 - 4*s + 6. Let o(l) = -l**3 - l - 1. Let y(g) = -3*o(g) - z(g). Calculate y(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a day in hours?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 662, -119, 1.\nAnswer: -119, -4, -1, 1, 662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123637, -123965, -124293, -124621?\nAnswer: -124949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1*y)**(-21)*y**(2\/7)\/y**(-2\/9))**(1\/20) assuming y is positive.\nAnswer: y**(-1307\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - 1, -1192*v - 4*r - 6 = -1190*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3412 + -1934. Let f = 3811 - x. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/9)*j**(-5)*(j\/j**(-2))\/((j\/j**(-7))\/j) assuming j is positive.\nAnswer: j**(-83\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*f = -279*f - 982 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3306 and 3128090916.\nAnswer: 3306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 5*h - 5. What is w(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c - 2*c + 3*c)*(-191 + 158 - 218)*(9 + 5 + 7)*(2 + 2 - 2) to the form t*c + z and give t.\nAnswer: 10542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1274, -3 in decreasing order.\nAnswer: 2, -3, -1274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4.5, -24029, 0.2, 0.3 in decreasing order.\nAnswer: 0.3, 0.2, -3, -4.5, -24029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1666 to two dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/69355417 and 151\/5322?\nAnswer: 416132502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 12:13 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 103 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 8, -5, -4, 2, -69 in increasing order.\nAnswer: -69, -5, -4, 2, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*h - 25 = 52*h. What is the least common multiple of h and (2\/2)\/(7\/28)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 (base 9) in base 7?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-253)\/(6 + -7) - -4. Let w = 377 - y. What is the greatest common divisor of w and 300?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u**2 - 41*u + 10. Let w be i(-9). Solve 0 = -6*c - 79 + w for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 28 = -2. Let b be 84*(z\/9 - 1). Let g = -13 + b. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9645506*v + 306 = 9645659*v. Solve -v + 5\/3*l + 1\/3*l**2 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2924 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/72 and 7\/1242?\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -8*o**6\/285 - o**5\/5 - 17*o**4\/38 - 4*o**3\/57 + 20*o**2\/19 - 5610*o. What is l in k(l) = 0?\nAnswer: -2, -5\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 + (-5 - (-3 - 0)). Let l = 0.87 - 0.98. Let x be (-1)\/(8 - (-1)\/(-1)). What is the biggest value in g, l, x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 - 48136602*j + 4*j**2 + 48136602*j.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*m - 223049, 9 = 4*k - k. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 789826771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100001001111 - 0?\nAnswer: -1100001001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -268, -102, 6, 1, -1, 3 in increasing order.\nAnswer: -268, -102, -1, 1, 3, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-12)*2)\/((-4)\/8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 16*r**2 - 764*r - 127. Give k(35).\nAnswer: -3592","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 324, 325, 326, 327?\n\"Answer: g + 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -32 + 168?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -16. Which is the closest to -0.1? (a) z (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**4 - 3*v**4 - 2*v**4)*((0*v + 0*v + v)*(2 + 1 - 4) - 534*v - 10 - 526*v + 1066*v + (3 + 0 - 4)*(-1 + 1 - 2*v)).\nAnswer: -14*v**5 + 20*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5 - 2*t - 6 + 3 + t. Let m(p) = p + 15. Let l be m(-7). Suppose -l*s = -6*s. Calculate f(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3015*j - 587*j + 2938*j to r*j + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1916 divided by 3\nAnswer: -1916\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 113640683 a multiple of 564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and 0.248?\nAnswer: -0.01488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 3\/5, 0.2728961, 4?\nAnswer: 0.2728961","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(500) - (sqrt(500) + 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35914248941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 13 - 19*t**2.\nAnswer: -19*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 294913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 0*w + 4*w + 14889 = 0, -11908 = -4*q + 4*w. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, k: 3, i: 1, t: 4, e: 2, n: 2}. Give prob of sequence nli.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.8 - -3. Let k = 41.5 - 36.5. What is the second smallest value in k, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 196*q - 3999. Calculate j(-18).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tuuuutuuut. Give prob of picking 3 u.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 3*o + 22, 0 = q - 4*o + 5616 - 5630 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 17577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (4 - 0 - (-246 + 261))) + (-4 - -40).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/4*12\/15. Sort -8, g, 3 in increasing order.\nAnswer: -8, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 16. Suppose -34 = -2*o + r, -68 = -o - s*o - 2*r. What is the remainder when 48 is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 5:30 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 360 - 360.2. Which is the closest to 0.2? (a) -5 (b) -0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 4*m - 2. Suppose -t + 3*p + 7 = 0, 5*t + 5 = 2*p - 12. Let z be (-4 - t)*5*-1. What is h(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -6*c + 18. Let f be a(3). Suppose -3*o = 4*z + 3 - 19, 2*o + 8 = f. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4 = -8. Let b = 590 - 586. Let p(a) = 10*a - 32. Let r be p(b). Calculate the highest common factor of g and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13968 + -11707. Suppose 0 = 2*w - 4*w - 2276. Let h = y + w. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 6*v**2 - 8*v + 2. Let l be o(3). Suppose -l*y = 2*y - 21. Suppose 3*u = 2*w - 1589, 4*w - y*w = -2*u + 777. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**5 - 2*x**5 + 0*x**5 - 3*x**5 - 6*x**5 + 2*x**5 + (-1 + x**2 + 1)*(-3*x**3 + 3*x**3 - 2*x**3).\nAnswer: -10*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -6*n + 72. Let x be m(12). Suppose x = -h + 38*h - 24568. List the prime factors of h.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - 1. Let h = 0.763 + 3.237. Let y = 0.01 + 1.99. What is the third biggest value in y, z, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4813230796?\nAnswer: 2, 11, 571, 191579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/36 and -28\/137925?\nAnswer: 551700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -2\/3 (c) -6\/5 (d) -1 (e) 3 (f) -0.718\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*n - 0*n. Let p be 3950\/10*n\/5. Suppose -2*s + f + 117 = -0*s, -2*f + p = 3*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21193336 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 1:45 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 490934?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 10643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26106485 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7990, -15983, -23974, -31963?\nAnswer: -39950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 433 in -1\/7, -2\/3, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 29*a + 1. Let l be p(1). Let z = -11 + 15. Let m = z + l. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.9 (b) 26 (c) 0.5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2236 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 - -132?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/3 - -2)*1. Suppose i + 4*i - 25 = y. Suppose 4*z = i*r - 26 - 24, -4*r - 5*z + 81 = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 447*h**3 - 7*h**2 + 35*h - 7. Let o(g) = 447*g**3 - 6*g**2 + 30*g - 6. Calculate 7*o(u) - 6*t(u).\nAnswer: 447*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*f**3*k*l - 2*f**3*k - 39526*f**3 + 9*f**2*k*l + 241*f*l**2 wrt l.\nAnswer: 10*f**3*k + 9*f**2*k + 482*f*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 14*o + 8. Let n be j(18). Let w be 8 + n\/(-12) - (-130)\/6. Solve 63 = -4*v + 5*k + w, -k - 6 = 2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7.3 (b) 1\/6 (c) -3 (d) -2\/19 (e) 25 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2536*z + 2533*z - 2*j - 37, -5*z + 2*j + 13 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 965, -269, -3, -2 in decreasing order.\nAnswer: 965, -2, -3, -269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*h + 9 = -11, h = 5*l + 76. Let u be 0 + 7\/((-168)\/l). Which is the third biggest value? (a) -1 (b) 0.3 (c) -2 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**7\/5040 + j**5\/60 + 2*j**2. Let z(m) be the third derivative of u(m). What is the units digit of z(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 972189 and 21064095?\nAnswer: 63192285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(3 + 1\/(66\/(-189))). Let a = l - -48. Let y(h) = 2*h. Let n(g) = -2*g. Calculate a*y(m) + 3*n(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26852626 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2697*g**3 + 2705*g**3 - 8103*g**3 + 2704*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**4*h**7*h**(-1\/7)*h**(-2\/29) assuming h is positive.\nAnswer: h**(2190\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-542)\/(-10)*5\/(-18). Let m = z + 197\/36. Calculate the common denominator of m and -25\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 175\/56 - (-1)\/(-8). Suppose 4*t - j = t. Let x = t + 0. Which is greater: -4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52740521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of j**6\/4 - 9*j**5\/10 - 3*j**4\/8 + 11*j**3\/2 - 9*j**2 + 6*j - 6. Factor s(y).\nAnswer: 3*(y - 2)*(y - 1)**3*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2562307 + 0?\nAnswer: 2562307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 - 962028*g**2 - 962032*g.\nAnswer: 4*g*(g - 240508)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 1371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/3))**(2\/23)*((h\/(h**(-1)*h))\/h)\/h**(1\/6) assuming h is positive.\nAnswer: h**(-5\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 9, t: 5, g: 2}. Give prob of picking 3 w and 1 g.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5*b**2 - 4*b - 7. Let m(l) = 8*l**2 + 6*l + 10. What is 5*m(i) + 7*q(i)?\nAnswer: 5*i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, r: 11, b: 4, s: 3}. Give prob of picking 2 b, 1 h, and 1 s.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 3*q + r + 16, 0 = -3*q + 5*r + 19 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-1 - 1) - (-453 - -451)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12677554 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/(-60)*10*30\/(-25)*2\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxu when three letters picked without replacement from yxvxvxxgu?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 65450.55 meters?\nAnswer: 6545055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3449 or 3448?\nAnswer: 3448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (21 + (-3)\/3)*(-1)\/(-1). Let i = 21 - l. What is the second derivative of -i - 9*w + 102*w**3 - 106*w**3 + 1 wrt w?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1373962?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14462 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 111000000010110001010011?\nAnswer: -111000000010110001010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*c + 12*c = 11 + 2212. Calculate the smallest common multiple of c and 465.\nAnswer: 6045","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2) + 10\/4. Let v be (-6)\/4*(-4 - 0). Suppose -v = -0*w - 3*w. Solve u*k = n - 5, w*n = -k - k + 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2126, 6822, 14648, 25604, 39690, 56906, 77252?\n\"Answer: 1565*v**2 + v + 560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 4:54 AM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -632, 4, 16, 5, 0.\nAnswer: -632, 0, 4, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 4:04 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 - 2*l. Let w be h(1). Suppose 0 = 3*j + 3*o - 2991, -j + 4*j - 5*o - 2999 = w. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -100\/3 - 98\/3*g + 2\/3*g**2.\nAnswer: 2*(g - 50)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(19) + (1*sqrt(19))**2)*4 - (4 + sqrt(475))**2).\nAnswer: 144*sqrt(19) + 1660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven quarters of a hour?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 649200 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-2) + 267577\/44403. Let d = r - 14\/123. Is -1 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 12. Suppose 2*z + 5 = z - 2*a, 2 = 5*z + a. 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 -3.425 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*d - 279 = 76*d. List the prime factors of d.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1650314 (base 7) in base 4?\nAnswer: 320103332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 divided by 1?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1638701754 to the power of 1\/2, to the nearest integer?\nAnswer: 40481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -9 (b) 0.4 (c) -4\/9 (d) 115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*x = -460, 0 = -32*k + 37*k + 3*x - 586. Find the common denominator of ((-11865)\/k)\/(-15) - 6 and 55\/2.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 225 (b) -0.2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/(-1)*(-133 - 389193\/(-2967))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -688 divided by 172\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -726.32557935+0.02\nAnswer: -726.30557935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -3340 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7018 + -6178. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 + 21 - (4 + 2)) + -8\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 5\/16, -3, 0.57?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 930 divide 9105984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-45))\/(2\/(-6) + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18623 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5*r**2 + 12*r - 207. Let x(g) = 11*g**2 + 26*g - 413. Let c(a) = 9*f(a) - 4*x(a). Let b be c(14). Solve 0*y + j - 15 = 5*y, -5*j = 4*y + b for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -283 + 1435. Let v be (m\/(-10) + -4)*5. Does 10 divide (-8)\/12 + v\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4555, 5565, 6575?\nAnswer: 7585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 2303*z**5\/20 - 1317*z**2\/2 + 1644*z. What is the derivative of k(s) wrt s?\nAnswer: 6909*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, 3\/2, -0.4, -6, 3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 595799 = s, -5*u + 248499 = -2*s - 347304. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**4 + 0*l**4 + 4*l**4 + (-97*l**2 + 339 - 339)*(-2*l + 2*l**2 + 2*l).\nAnswer: -193*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**4*z - 20*k**4 - k**3*z**2 + 64*k**2*z**2 + k**2 wrt k.\nAnswer: 48*k*z - 480*k - 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 99561.902 to the nearest 10.\nAnswer: 99560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(50) - sqrt(600)\/(sqrt(36)\/sqrt(3) + sqrt(12)))\/(sqrt(40)\/(sqrt(4)*-1))*-4 + 3)**2.\nAnswer: 36*sqrt(5) + 87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -32. Let p(x) = -x**2 - 12*x - 6. Let w be p(r). Suppose 4*g + 21 = 2*y + 1, 0 = y + 2*g - w. Solve -3*u - y = u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)*k)\/k**6*k**(3\/4)*k*k**4\/k*k**(-2\/21)*k*k\/((k*(k**(-6)\/k*k)\/k)\/k)*k*k**(-4)*k\/(k**4\/k) assuming k is positive.\nAnswer: k**(223\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b (base 13) in base 2?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-385)\/(-140) - 2\/(-8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220 divided by -11.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 0.1, -53, -202?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.19094 rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 910370 is divided by 563?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 y when two letters picked without replacement from ykddyqy.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*h**3 - 5*h**3 - 4*h**3)*(27*h - h - h) - 2*h**4 + 3*h**4 - 2*h**4 as n*h**4 + b*h + d + z*h**3 + y*h**2 and give n.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(18*40\/432)*20\/(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 33*a**2 - 3*a - 2. Suppose 5 = -6*d - 1. Let z be r(d). Let q = -207 - -445. What is the highest common factor of z and q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**5 - 4*r**4 + 4*r**2 - 2*r = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 177 - 137. Suppose 0*k - 4*k = -560. What is the greatest common factor of k and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24691 - -2538. List the prime factors of y.\nAnswer: 73, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 653 - 55a9?\nAnswer: -4b56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -111012?\nAnswer: -111012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 3*y - 162, h = y + y + 50. Let x = 87 - h. Suppose -1 = 2*k - x. What is the remainder when 82 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -131 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 656 + -658. Let w = -6 + 6.8. Let l = 4.8 - w. What is the closest to -0.2 in n, l, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156 and 14248?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3675 divided by 35?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*s = -165*s - 16. Suppose 0 = 4*b - 106 + 18. Calculate the remainder when b is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304*u**2 + 151*u**2 + 158*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 = -5*c - 62. What is the remainder when c is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2 - 5*h + h**2 - 1 + 6. Let i(z) = 4*z**2 + 6*z - 4 - 3*z**2 - 2. Give 6*a(v) + 5*i(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x + 3. Suppose 5*l + 15 = 0, 0 = -2*h + h - l - 6. List the prime factors of k(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7304, 3, 3\/4 in ascending order.\nAnswer: -7304, -2, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46723819?\nAnswer: 46723819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -142?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 17*r**2 - 237*r. Let i(q) = 19*q**2 - 236*q. Let x(p) = 6*i(p) - 5*n(p). What is the second derivative of x(k) wrt k?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -5 (b) 10.3 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -24 - 1331388198\nAnswer: -1331388222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 15.3. What is the closest to -2\/3 in -3\/8, p, 4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77441 + 7*w + 77304 - 154745.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 250a9 - 2?\nAnswer: 250a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/3*(-5)\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, -158.29, -0.079 in decreasing order.\nAnswer: -0.079, -0.09, -158.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1447, -78\/11, 5\/12 in decreasing order.\nAnswer: 1447, 5\/12, -78\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1338646 is divided by 1110.\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p - 6. Let u be b(4). Let x = u + -4. Suppose -x*o - o + 2*k = -67, 28 = o + 5*k. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 258, -68\/69 in descending order.\nAnswer: 258, 2, -68\/69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 306851\/(-25879) + 1 + (-16)\/14.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -773, -775, -777?\n\"Answer: -2*a - 771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*b + 158*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 150.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12257 >= 12256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -20*j**3 - 16*j**2 - 22*j - 2. Let q(g) = -g**3 - g. Let h(v) = 12*q(v) - r(v). Suppose h(z) = 0. Calculate z.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -82*u + 31*u - 131 + 50*u in the form r*u + w and give w.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210110110022 (base 3) to base 8.\nAnswer: 1471027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**6\/60 + 2*y**5\/15 - y**4\/3 + 43*y**2. Factor h(s).\nAnswer: -2*s*(s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 - 2*p**3 + 88*p**2 - 88*p**2.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1ab18a (base 12) to base 9\nAnswer: 804167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -18. Suppose 0 = -5*j + 2*w + 3*w - l, 4*j + 5*w = -22. Suppose 4*x + 6*s - 8*s = -18, -s + 1 = 0. Is j bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*u + 6. Let i(f) = f**2 + 6*f - 1. What is the least common multiple of i(u) and 10?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1321166429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34569 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 61 and 1647?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = u - 8. Let v be ((3*2)\/1)\/2. Suppose -c + 0*c = v, 60 = 3*f - 2*c. Calculate the least common multiple of f and u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 49836960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k - 3*k + 371*k**2 + 169*k**2 - 423*k**2.\nAnswer: 117*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3141*l - 3136*l = 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 8:42 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 67 - 23 = 4*l - 27, 26 = 9*x - l for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433 - 799 = 558*m - 116 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/((1334\/92)\/(-29))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 1\/9 (c) 4 (d) 50 (e) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -21. Let j = -8.03 - u. Let v = j + 0.0299994. Round v to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/(w*w**(-4\/7)\/w)*(w**12\/w)\/w assuming w is positive.\nAnswer: w**(88\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ybybyb. What is prob of picking 3 b and 1 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wah. What is prob of picking 1 h and 1 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3311 + -1460. Let b be (136\/(-12))\/(2\/c). Is b\/(-51) - (-2)\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (86*t - 86*t + 4*t**3)*(-5 + 4 - 4 + 4) to k + f*t**3 + v*t + c*t**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110 and 960?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 + 4*p**2 - 6*p**2 to the form l*p**2 + t*p + o and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*f**4 - 4714*f**3 + 247800 wrt f.\nAnswer: 48*f**3 - 14142*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001675 to 7 decimal places.\nAnswer: 0.0000168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 278, 549, 816, 1079, 1338?\nAnswer: 1593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 9:42 AM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 10 - ((-10 - (13 - 9)) + -3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 159. Let k = 736\/5 + u. Which is the closest to -1\/3? (a) k (b) -2\/11 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4112030 divided by 2?\nAnswer: 2056015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1836 is divided by 394.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 8*l - 4. Is u(7) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24480118?\nAnswer: 2, 13, 29, 32467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 359*t**2 - 165*t + 327*t - 162*t as v*t**2 + p + j*t and give v.\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2639458370 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/6 - (-4)\/((-12)\/(-11)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.62 + -0.91.\nAnswer: -1.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 0*m - 2. Let v be (-22)\/(-4) + m\/4. Suppose 8 = -i + v*i. Solve 4 = -2*u - 4*f, 7*f + 2 = -4*u + i*f for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2 - 17 = 0. Suppose -5*h + w = -4*h. Sort -4, 0, h.\nAnswer: -4, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/51)\/(2\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3872 + -1731. What are the prime factors of i?\nAnswer: 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-32)\/(-20))\/(2\/60). Suppose d - 249 + u = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33 + -1230?\nAnswer: -1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1309644 to the nearest integer?\nAnswer: 1144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1320 + 1032 = 8*f + 3*o, 17*f = -4*o - 365 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 20*s + 16 - 3 + s**2 + 4*s + 15. Let g be q(-21). Sort 5, 3, g.\nAnswer: g, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1065600 (base 8) to base 4\nAnswer: -1012232000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -6*z**2 + 21*z + 29. Let b(c) = -8*c - 7. Let q be b(-3). Let i(t) = -2*t**2 + 7*t + 10. Let l(f) = q*i(f) - 6*x(f). Factor l(p).\nAnswer: (p - 4)*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 8) + -11 - -3 - -7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000437971936 rounded to 6 dps?\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4 = -4. What is the units digit of -1 + i - 290\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55098444 - -18904.\nAnswer: -55079540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1538940 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100032001 (base 4) to base 13.\nAnswer: -b6732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 5*o + 8 = 0, -4*o - 18 = 4*t - 10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.48 - 0.98. Let u = 61\/68 - 28\/17. Let v = -1 - -5. Which is the smallest value? (a) v (b) u (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6903 is divided by 338.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1\/2 (b) 2\/9 (c) 0 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28*z**2 + 69442*z - 216000 with respect to z.\nAnswer: -56*z + 69442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - -1 - -2 - (4 - 1). Solve 0 = -n + x*n + 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109593986 is divided by 1395?\nAnswer: 1391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((-15 - -5) + 10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.32 in 3\/31, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 less than 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7005852 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -14*b - 11*b - 49*b + 10*b + 3. Suppose 0 = -5*x - 17 - 3, -5*g + 69 = 4*x. Calculate the remainder when f(-1) is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*s. Let a = 3 + s. What is the second derivative of 0*g**3 - 2*g - g**3 - g - a*g**3 wrt g?\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 441 divided by -3\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**4\/24 - 5*r**3\/6 + r**2\/2 - 9*r. Let s(o) be the first derivative of i(o). Find the first derivative of s(k) wrt k.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3\/13 + 4\/39. Let h(d) = -d**2 - 12*d - 21. Let t be h(-9). Let a be (-4)\/t*(-2)\/(-4). Sort a, q, -2 in decreasing order.\nAnswer: q, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15\/(-6))\/(80\/(-48)))\/(18\/(-8)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 4*t + 0 + 6 + 2 + 4 = 0, -97*t = -4*c - 34*t + 165 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 167 = -175 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.95252 decades in centuries?\nAnswer: 6.995252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*f**2 - 2*f - 3*f - 712 - 9*f**3 + 715 - 5*f**2 in the form b*f**3 + l*f**2 + k*f + j and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4\/7, 4\/5, 1\/2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1266*l**2 + 1172*l**2 + 183 - 2342*l**2)*(-l**2 + 3*l - 3*l).\nAnswer: -96*l**4 - 183*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -4, -3, -25, 279, 2 in decreasing order.\nAnswer: 279, 10, 2, -3, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.7246646177 and 6.\nAnswer: 7.7246646177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s + 18*s - 2*g = 14, -s - 5*g = -19. Solve 63*n - 60*n = -s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 92*s - 91*s + 3*f, -26 = -2*s - f. Solve 2*w - 2 = 4*h, 4*h - w + s = 16 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l\/l**(-5)))\/(l*l\/(((l**(2\/23)\/l*l*l)\/l)\/l*l*l)))\/((l*l*l*l\/l**(-2\/13))\/((l\/((l\/l**(-3\/5))\/l))\/l*l)))**(9\/8))**(1\/23) assuming l is positive.\nAnswer: l**(-32517\/68770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-4))\/(51\/34)*-6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51 - 92*y + 51 to t + m*y and give m.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -5. Let s = 3.8 + o. Which is bigger: s or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40 - 36 - 2205*x**2 + 2711*x**2 + 2*x to i*x + f*x**2 + w and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x + 760. Let m(d) = -d + 25. What is -f(w) + 8*m(w)?\nAnswer: -4*w - 560","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 6*y**3 + 10*y**2 - 227*y + 1089. Give j(5).\nAnswer: 954","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*m**3 + 52*m**5 - 2 - 109*m**2 + 2 - 44*m**5 - 2*m**5 wrt m?\nAnswer: 360*m**2 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 14 + 6. Suppose -z*j - 3 = -3*j. Suppose -j*u = -2*u - 2. What is the smallest common multiple of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/28 and 5\/10974138?\nAnswer: 21948276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + -1*4*(-2 + sqrt(448) + sqrt(448)))**2.\nAnswer: -4608*sqrt(7) + 115012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of t**5\/210 - 375*t**4\/14 + 421875*t**3\/7 - 3100*t**2. Factor p(n).\nAnswer: 2*(n - 1125)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131 + -119 - (0 - -4)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000452918 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = x + x. Suppose -g + 0*u = u, -5*g = -4*u + x. Let k be g + 1 - (-14)\/18. Is 0 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39748592*d**3 - 134*d**2 + 131322*d.\nAnswer: -238491552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 10*a - 26. What is f(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 10*q - 1556. What is the common denominator of 5\/5 + q\/(-720) and -83\/6?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -14. Let g(n) = -n - 28. Determine 2*g(z) - 5*u(z).\nAnswer: -2*z + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -12*r + 2. Let o(x) = 14*x - 2. Let k(q) = 6*d(q) + 5*o(q). Let i be k(0). Which is the closest to -16? (a) -4 (b) i (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flflll. What is prob of sequence lf?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 11*t + 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9441828 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000955095607 to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 207123\/13, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-94)\/(-564))\/((-2)\/4). Is -32.5 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -11*v**2. Let p(t) = 15*t**2 - 5*t**2 - 12*t**2. What is a(p(x))?\nAnswer: -44*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - 12 - -7) + -4?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.998064801 to five decimal places.\nAnswer: -0.99806","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8986248 to the power of 1\/2, to the nearest integer?\nAnswer: 2998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -407? (a) -0.1 (b) -8 (c) 0 (d) -2.5 (e) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.8403 - 35.8109.\nAnswer: -37.6512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/16*2\/(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - -1. What is the remainder when 25 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 124 and 80721086.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*u = 5*c - 5, -u - 4 = 0. Suppose 3*v - 3*z = 15, 0*z - 2*z - 3 = c*v. What are the prime factors of 18*(4 - 2 - v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (102 + -115 - (-13 + 1))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-five halves of a decade?\nAnswer: 2700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -5*c + 892, 0 = 2*c + 3*t - 441 + 75. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164 = 65*g - 944 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*h + 9*h - 5*c + 168 - 92, 0 = 4*h + 7*c + 84 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 958740 divided by -2?\nAnswer: -479370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -126, 19, -4\/13, 0.4 in decreasing order.\nAnswer: 19, 0.4, -1\/5, -4\/13, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*z = 8. Let g = -308.9 + 310.1. Which is the fourth biggest value? (a) -5 (b) g (c) z (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**5\/7 + 12099*y**4\/7 + 353499*y**3\/7 - 426051*y**2\/7 - 1864188*y\/7 - 1096740\/7 = 0.\nAnswer: -30, -1, 3, 4062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -1424*r - 24234. Calculate y(-17).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 154593552.6 rounded to the nearest 100000?\nAnswer: 154600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 16, 2, 9, 3, -7, 1025 in decreasing order.\nAnswer: 1025, 16, 9, 3, 2, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 6:13 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 + 16 + 15 + 17)*(-4*z - 5*z - 14*z) in the form k + q*z and give q.\nAnswer: -736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z*z\/(z**(-10)*z)*z*z)*z)\/(z\/(z*z**16))*z*z\/((z\/(z\/((z*z**(2\/3)\/z)\/z)))\/z)*z**(2\/9) assuming z is positive.\nAnswer: z**(68\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 5 = 6*w. Suppose 0 = 4*o + 4*g - 40, 2*o + 25*g - 29*g - 32 = w. Solve -12*k = -8*k + o for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -25*h**2 + 5*h - 39*h**2 - 5*h. Let v(d) = d. Determine v(g(i)).\nAnswer: -64*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -96f?\nAnswer: -970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*y - 6*y + 3*m = 35*y - 17, 0 = 2*y + 157*m + 1409 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*m + 2*k - 169, -3*m - k = 154. Let f be 634\/8 + 2\/(-8). Let a = m + f. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36181 is divided by 11626?\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 5*o**2 - 5. Let g be y(-4). Let t be 290\/90 - (-4)\/(-18). What is the second derivative of -18*l + 15*l + 0*l**t + g*l**3 wrt l?\nAnswer: 66*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46499817 and 78?\nAnswer: 92999634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12 + (-2)\/(-3)*-3. Is 10 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 2*y**2 + 173*y - 1992. Calculate h(10).\nAnswer: 538","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10391*q**2 + 20766*q**2 - 10383*q**2.\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zvvlvullvvuyzvzzgvvz. Give prob of sequence lul.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, -27, -9, 13\/4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143961 + 0.68.\nAnswer: 143961.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74251 - -215683. Suppose 12*y = 43776 + q. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 22*k**2 + 26*k + 6. Let a be p(23). What is the highest common divisor of a and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*i + 2721 + 29463. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -6*d + 1. Suppose u = -r + 5, 5*u + r - 17 = -2*r. Let f be c(u). Suppose 0 = 2*g + 4*m - 8, 0 = -2*g + 4*m - 16. Sort 5, g, f.\nAnswer: f, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 10 - 3 + n + 7 - 3. Let u be f(-6). Suppose 3*w = -4*h + 76, u*h + 47 + 13 = 4*w. Calculate the greatest common divisor of w and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11748.7 - -11749. Which is the fourth smallest value? (a) 1 (b) n (c) -2 (d) -5 (e) -1\/26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1650013 - -0.165. Round v to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 4 (c) 0.1 (d) 9\/49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.059 + 0.059. Let j = 2.5 + -1.6. Let s = -1 + j. Which is the nearest to s? (a) l (b) -3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41db8 (base 14) to base 16.\nAnswer: -26d8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 2*f - 46. Let p(r) = 2*r**3 - 5*r + 92. Let o(c) = -7*j(c) - 3*p(c). Let s be o(0). Suppose -3*a = -s - 161. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6000\/625*2\/(-6))\/(14\/((-210)\/9)).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.06 (b) 11\/5 (c) 0 (d) -36395\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9512*i + 9350*i + 1782 = 0 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 347*p + 32331. Give f(-201).\nAnswer: 2985","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 7, t: 2}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -27*(-1 - 1\/(-3)). Suppose 0 = -x*m + 13*m. Let p be (m\/(-4) + -3)\/(4\/(-4)). Solve -3*u + 8*u + 45 = -5*j, p*j = u - 11 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/1608 and 87\/560.\nAnswer: 112560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 649428 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 4 = -4*g - 3, -11*g - 10 = 4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 18. Let f = l + 1.5. What is the second smallest value in 2, f, -1, 1\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 4:47 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 237 + -243 - 7*-1. Solve 3*g - 4*r + 5 = p, 4*r = 5*g + 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 35*f - 792. Calculate l(24).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 545*a = -566*a - 503*a + 187224 for a.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s + 8 + s - 5*s - 2 to the form h + a*s and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2081.821 rounded to the nearest 100?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 divided by 42427?\nAnswer: -59\/42427","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.000330927 rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 0*r**4 - r**4 + 7 + 8 + r to h*r**3 + f*r**2 + v*r + l + a*r**4 and give l.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -18092331.69 to the nearest 10000.\nAnswer: -18090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, f: 1, a: 2, i: 1}. What is prob of picking 1 f and 1 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -2\/9*g**3 + 8*g - 1\/63*g**7 + 1\/18*g**4 + 0 - 1\/45*g**6 + 0*g**2 + 1\/10*g**5. Solve p(z) = 0 for z.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 0 + sqrt(13) - (sqrt(104) - sqrt(26))\/sqrt(2)) + (2*(sqrt(91) + (sqrt(91) - (sqrt(91) + sqrt(91)*2))))\/sqrt(7))*5.\nAnswer: -10*sqrt(13) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z - 4. What is y(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 65567, 66468, 67369, 68270, 69171?\n\"Answer: 901*s + 64666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**5 - 4932*p**4 - 1039528*p**3 + 3153168*p**2 - 2108704*p = 0 for p.\nAnswer: -962, -274, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26598)\/838240 - 3\/(-48).\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 44*h - 269. Determine n(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/((-9)\/(-3) + -7). Suppose 4*z = -1 + 13. Which is the nearest to x? (a) 0.3 (b) -4\/3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*m + 42*m - 4*m**2 + m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/9 + 8*f**2\/3 + 64*f\/9.\nAnswer: 2*f*(f + 4)*(f + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -343\/15 + 23. Let b(w) = w**3 - 7*w**2 - 6*w - 13. Let f be b(8). Suppose -2*i = f*i. Is t less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*t = -z - 9, -4*z - t = -9. Suppose -j = 5*c + z*j - 448, -2*j = -5*c + 466. List the prime factors of c.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 6\/223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000200021 (base 3) to base 5.\nAnswer: 10013400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -314*s + 1210*s - 899*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/10015 or 18964?\nAnswer: 2\/10015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000110010000110111 + 1011001010?\nAnswer: 1000110011100000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7047*q - 8380*q - 50654 = 0 for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 943.\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 3:12 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, y: 6, r: 4}. What is prob of sequence yjjr?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1\/5)*v**(-1\/7)*v)\/(v\/v**5*v*v*v**(-3))*v**(-5)*v\/v**3*v*((v*v**(-2\/11))\/v)\/((v*v**(-1\/7))\/v) assuming v is positive.\nAnswer: v**(34\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 25*s. Let j be u(-2). Let o = 71 + j. Suppose 3*z = -h - z + 39, -5*z - o = -h. What is the remainder when h is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10935395*z**3 - 5467944*z**3 - 5467449*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17650883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -828, -832, -836, -840, -844, -848?\nAnswer: -852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11045441473 - 2?\nAnswer: -11045441475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*i - 3*i**3 - 178 + i**3 + 85 + 91 to the form w*i**3 + d*i**2 + h*i + n and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -33*b**2 + 116*b - 35. Determine s(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 3)*(4*d - 4*d + 2*d + (-5 + 2 + 0)*(-4*d + 2*d + d)) + (4 + 3 - 5 + (1 - 6 + 0)*(-3 + 0 + 4))*(3*d - 9*d - 4*d).\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 6*r + 62 + 0*r + 0*r - 21. Let s be a(-6). Solve s*b + 12 - 37 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -18. Let c = n + 23. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -5*s - 3*o, -134 + 102 = 4*o for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0*x + 2*i - 60 = 0, -3*i = -x + 50. Suppose x = l + 7. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22602365321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -737 + 750.58. Let l = 4 + -17. Let k = c + l. What is k rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fsddsdfdssdfssf. What is prob of picking 1 s and 1 f?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 9 + (10 + -14 - 11).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 9*b**2 - 8*b - 10. Suppose 48*m + 16*m - 640 = 0. Calculate u(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -73, -169, -339, -607, -997, -1533?\nAnswer: -2239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 + (112 - (118 - 60))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1012852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ixhixiihsh. Give prob of picking 1 s and 2 x.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 84.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -6*k + 3*k + 72, f + 72 = 3*k. What is the remainder when 28 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -7\/4*c**3 - 34*c - 59\/4*c**2 - 12 = 0.\nAnswer: -4, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 + 27710900*l + 191973494702500.\nAnswer: (l + 13855450)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 + -40. Solve x = 4*k + 3 + 17 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*c - 21, -3*t - 5*c = -7*t + 42. Factor 0*k**t + 3\/7*k - 3\/7*k**5 + 0 - 6\/7*k**4 + 6\/7*k**2.\nAnswer: -3*k*(k - 1)*(k + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 53500096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -1279?\nAnswer: 1278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -1 + 11*f**2 + 9*f**2 - 22*f**2 + f**2. Let q(t) = 4*t**2 + 1. Determine 3*b(u) + 3*q(u).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o + 15 = 20*o. Let r be (20 + 1)\/3*1. Suppose -3*b - 20 = -r*b. Solve -b = o*c + 4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.5999779 + 10.6. What is l rounded to six decimal places?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-6 - 165\/(-27)). Let o be w + 50 + (-3)\/((-3)\/40). Calculate the greatest common factor of 15 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21 - (-1054)\/51) + (-677)\/(-6). Which is the second smallest value? (a) -1 (b) p (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -31563, -31703, -31943, -32289, -32747?\nAnswer: -33323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2077471911?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -3, 4, -5 in ascending order.\nAnswer: -5, -3, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2830 is divided by 1379.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.46 - -0.54. What is the nearest to -1 in i, 0.6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2344\/15067 - 2\/1159. Put 20, 4\/9, i, -0.3 in descending order.\nAnswer: 20, 4\/9, i, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -3. Suppose -4*n + 77 - 289 = a. Let w = n - -114. Is w a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*c**4 + c**4 + 0*c**4 + (-5 + 23 - 48)*(25*c**4 - 5*c**2 + 5*c**2).\nAnswer: -755*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 205 divided by 41.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -401200 (base 6) in base 16?\nAnswer: -7aa0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.63481 to 2 decimal places.\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 33 + -2 + -2. Let v = r - 4. Suppose 0 = -2*w - 2*w + 20. Solve 2*g - 4*f = -g + v, -15 = w*f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b + 46. Suppose -38*z = -29*z - 81. Let k be g(z). What is the highest common factor of k and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**2 + 25*b**2 - 32*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s + 27. Let h be j(9). Suppose 8*o - h = 5*o. Find the third derivative of 2*u**3 + 13*u**3 - 4*u**o + 22*u**2 - 7*u**3 wrt u.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.16*1.2986\nAnswer: -0.207776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -7*p**6\/24 + p**5\/2 + 35*p**4\/24 - 5*p**3 + p**2\/2 - 4*p - 25. Let a(o) be the second derivative of d(o). Factor a(w).\nAnswer: -5*(w - 1)*(w + 1)*(7*w - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -2*n**7\/7 + 23*n**5 + 7*n**4\/4 + 8*n**3 - 13*n**2 + n - 4126. What is the third derivative of p(j) wrt j?\nAnswer: -240*j**3 + 2760*j + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q + 4*p - 46 = 0, 2 = -5*p + 15 + 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2935 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/129980 and 59\/12998.\nAnswer: 129980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 10) to base 3\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 3*v**2 + 1. Let t be k(3). Suppose 9 = -3*j, -h + 0*j + 86 = 4*j. Let r = h - t. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -8, -2*m + c + c - 16 = 0. Which is smaller: m or 79?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 4 - ((-4 - (-8 - -3)) + 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.17 + 0.37. Let s = -16 + 10. Let r be s*1*(-1)\/(-4). Which is the smallest value? (a) l (b) r (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 239 + -2627\/11. What is the nearest to c in -2\/5, -1\/5, -5, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 10:18 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 2) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -5, -2\/3, 574.49?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 9*b**2 + 4*b - 12. Let w(o) = -19*o**2 - 9*o + 25. Let p(k) = 13*c(k) + 6*w(k). Find the second derivative of p(f) wrt f.\nAnswer: 78*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -2215?\nAnswer: -2215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 0.3 (c) -4\/17 (d) 27\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 93*l**4 - 3*l**2 + 86*l**4 - 16 - 2*l**3 - 282*l**4 + 94*l**4 as m*l**3 + a*l**2 + k*l**4 + j*l + s and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5*s + 66. Calculate k(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -103.67 - 2.33. Let k = d - -111. Which is the closest to k? (a) 1 (b) 4\/3 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -14*x + 16*x - 2*b, 40 = x - 5*b. Solve 0 = -6*q - 15 - x for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 748 and 38216.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*a - 1 + (7 + 0 - 2)*(26*a + 1 - 2 - 29*a).\nAnswer: -17*a - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 508 and 1504.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(-3*v - 2*v + 3*v)*(-5 + 4 - 1).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2359 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**2\/2 + 3. Let b(r) = -10*r**2. Let q(o) = -3*o**2. Let l(j) = -5*b(j) + 16*q(j). Give n(l(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*m**3 + 820*m**2 - 640*m - 76800 = 0. Calculate m.\nAnswer: -16, 60\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 150911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1404959?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 73, 155, 249, 355, 473, 603, 745?\n\"Answer: 6*r**2 + 64*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12430306 + 12430306 + 12307*y.\nAnswer: 12307*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 14, s: 4}. Give prob of picking 4 s.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1169 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -1 - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(7)*2)**2 - (-1 + sqrt(252)) - (-1 + sqrt(700)*2)*1.\nAnswer: -26*sqrt(7) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, -2\/13, 2\/11 in increasing order.\nAnswer: -2\/13, 2\/11, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b**3 - 3*b**3 - b**3)*(1 - 2 + 0 + (5 - 3 + 0)*(1 - 2 - 2))*(-6*b - b + b) to p*b**2 + c*b**4 + k*b**3 + i*b + n and give c.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 5*z - 20, -4*z + 24 = j. Let m(b) = 81*b - j*b - 39*b. Let r(h) = -6*h + 6*h - 13*h. Determine r(m(g)).\nAnswer: -26*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 15) in base 11?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - x = -0*w + 3, -4 = -w + 5*x for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -939*p + 4341. Determine a(10).\nAnswer: -5049","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q**2 + 11*q + 2485. Let x(t) = 3*t**2. Give r(x(z)).\nAnswer: 36*z**4 + 33*z**2 + 2485","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 560374.\nAnswer: 2, 280187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-10 - -11 - 15 - (2 - -5))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, -1.7, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 180 = 3*t. Suppose 11*g - 6*g + 3*s - 4 = 0, 0 = 5*s + 10. What is the lowest common multiple of t*((-8)\/3 + 2) and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -y**6\/360 + y**5\/120 + 17*y**4\/24 - y**3\/6 + y. Let d(f) be the second derivative of b(f). Is 6 a factor of d(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 637531.\nAnswer: 637531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, q: 8}. What is prob of sequence qqq?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/63593 at least as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + 3 + sqrt(147) + 3)**2*3.\nAnswer: -1032 - 420*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 31*o**2 - 37*o + 297. What is the tens digit of k(-31)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17685 - 12558. Calculate the remainder when j is divided by 90.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4177288 times 0.4?\nAnswer: 0.56709152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i**3 - i**2 + 7. Suppose -318 + 326 = 4*z. Suppose -13 + 0 = -2*l - j, 3*l - 21 = -z*j. Let n(f) = -2*f**3 - f**2 + 3. What is l*n(w) - 3*a(w)?\nAnswer: -w**3 - 2*w**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y*y*y**(7\/2)*y)\/y)\/y)\/y*(y*y*y**(1\/14))\/y)\/(y**(-2\/3)*y*y*y**14\/y) assuming y is positive.\nAnswer: y**(-184\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.2 - 1.4. Let o = z - -3. Which is the third smallest value? (a) 2 (b) -1\/4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 1111.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**3 + 12 + 4003*u**2 + 0*u**3 + 8 - 2 - u.\nAnswer: -u**3 + 4003*u**2 - u + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 7:08 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7338023 and 4396.\nAnswer: 1099","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2038 - -2061. What is the greatest common factor of 437 and f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, -57, -186, -367, -618, -957, -1402, -1971?\nAnswer: -2682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 2*z**2 + 9 - 3*z**2 - 2*z**2 + 4*z**2 + (-2*z + 5*z - 2*z)*(-z + 0*z - z) to the form w*z**2 + h + b*z and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*3\/(-54))\/((-11)\/(-132))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 571309025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69108 is divided by 34541.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -4. Let z(n) = 6*n**3 - n**2 - n + 1. Let m be z(2). Let c = m + -25. Calculate the greatest common factor of c and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -77250, -22 in descending order.\nAnswer: -2, -22, -77250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 269667*v**4 + 95550*v?\nAnswer: 3236004*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.013? (a) 1\/7 (b) 78 (c) -1\/2 (d) -3 (e) -0.4 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3 - 2*y - 5 - 5*y. Let c(h) = 6*h + 2. Let v(w) = 3*w**2 + 3*w. Let l be v(-2). What is l*c(p) + 5*u(p)?\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-108)\/(-45))\/(4\/(-10)) + 5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 60*h**2 + 13*h**3 + 0 + 0*h + 1\/2*h**4.\nAnswer: h**2*(h + 6)*(h + 20)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 545555?\nAnswer: 545551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) 0.5 (b) 0.11 (c) -2\/3 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.48705309616 and -0.075?\nAnswer: 0.56205309616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/252*7\/3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-1\/7)\/r))\/r*r*r**(-26)\/r*r*r*r*(r*(r\/(r*r*r**(-2\/3)\/r*r))\/r*r)**(2\/35) assuming r is positive.\nAnswer: r**(-2291\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**39*(z\/(z**(-26)\/z)*z)\/z)\/(z**(-2\/53)\/z*z**(1\/4)*z) assuming z is positive.\nAnswer: z**(14159\/212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/315 + (-2274)\/(-63). Suppose 15120000 = m*t - 18*t. What is t rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**4 + z**4 - z**4 + (302*z + 699*z**3 - 302*z)*(-1 + 2*z + 1) - z**4 + 2*z**4 - 2*z**4 + (-5 + 1 + 2)*(5*z**4 + 0*z + 0*z).\nAnswer: 1389*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in -0.5, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 208893300 rounded to the nearest one million?\nAnswer: 209000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 328?\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -4 + 5 - y - 1. Give t(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4530158 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**4 + 4*w**3 + 9. Let f(i) = -2*i**4 - 3*i**3 - 8. Let d(p) = -4*f(p) - 3*j(p). Find the first derivative of d(o) wrt o.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**4\/2 + 1068*r**3 + 281187*r**2 + 32314416*r + 2718806655\/2 = 0.\nAnswer: -199, -115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/24)\/(1\/(-6))*63\/441.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 102501590 rounded to the nearest one million?\nAnswer: 103000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -1\/2*g**3 + 119*g + 1\/12*g**4 + 0 + 88*g**2. What is the first derivative of o(l) wrt l?\nAnswer: 2*l - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by -87290?\nAnswer: -8\/43645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(48298\/93)\/41*6?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 6*n - 9. Let c be 6\/(-4 + 6 + 1). Let j be b(c). Suppose -r + 2*r = -j*d - 36, -2*d - 94 = 3*r. Is r not equal to -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + -5)\/(39\/2)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in 2\/5, 31, 5\/8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15 + 10)*7\/35. Factor 4\/3*t**4 + 4\/9*t**3 + 2\/9*t**r - 40\/9*t**2 - 6*t - 20\/9.\nAnswer: 2*(t - 2)*(t + 1)**3*(t + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u - 6*u = -68. What is the remainder when (u\/1 + -35)*(-14)\/7 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 2. Let u = b - 0.6. Let g = 2.96 + 0.04. What is the third smallest value in 0, u, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.719 + 0.1.\nAnswer: -0.619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*g - 5*g + 5*g)*(4 + 0 + 0) + 0*g + g + 0*g)*(148 - 25 + 108) to b*g + u and give b.\nAnswer: -1617","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9908 (base 12) to base 3.\nAnswer: 212010022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*m + 23071 = 0, 14*d - 10*d = -5*m + 46127. Is 19 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 2.245, 10, -3, -2 in decreasing order.\nAnswer: 10, 2.245, 2\/9, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07308069 rounded to five dps?\nAnswer: -0.07308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134992 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 755510333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2 + 21*v + 39. Calculate z(14).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 6 + 6 + -6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -43 and -0.2.\nAnswer: 8.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 43608421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 29 = -5. Suppose -w - u + 18 = 0, 2*u = -0*u - v. Let m(s) = s**3 + 4*s**2 + 4*s + 3. Let f be m(-2). Solve w = 3*x + 3*n, 2*n = f*n - 5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1631 is divided by 86.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 428592017 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17.08 - 17. Which is the nearest to 0? (a) -4 (b) d (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 87\/27 - (-2)\/(-9). Suppose 3*y + 85 = 3*p + 4, -c*p + 4*y = -79. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.7 - 1.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of v**2\/2 - 9*v + 84. Let r(c) = -2*c + 54. Let w be r(21). Determine a(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n*v**3 - 6*n*v**2 - n - 3*v**4 - 895*v**2 + 2377965*v wrt v?\nAnswer: 12*n*v - 12*n - 36*v**2 - 1790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 1452 + 2772 = 0. Let q = m - 310. Is q a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27190547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*b - p, -b + 21 = -3*p - 1. Suppose -1 = -3*d + 11. Calculate the remainder when b is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (80\/(-70) - (-82596)\/(-28))\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -3\/298?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of w**5\/60 - 7*w**4\/24 - 622*w**2. Let b be 36\/(-8)*4\/(-6). What is c(b)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 47923 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -448493, -448504, -448527, -448568, -448633, -448728, -448859?\nAnswer: -449032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 61037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 11*x**2 - 11*x - 12. Let a be q(12). Suppose 2*k - 41 - 25 = a. Calculate the highest common factor of k and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l + 2*l - 2*l - 23*l - 23*l + l + 3*l - 2*l - 3*l + (2 - 1 - 2)*(2*l - 1 + 1) + l - l - l - 3*l - l + 6*l - 1 + 2*l + 1.\nAnswer: -45*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 4*i + 3*a + 15, 5*i = 4*a + 48. Suppose 0 = -3*q + 5*o + 21, -6*q + 9*q - 2*o - 30 = 0. Solve -5*k = -k - i, -4*k + q = 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58942 by 6.\nAnswer: 29471\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -766 take away -16902?\nAnswer: 16136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 6*r - 2*r**2 - r**2 + 3 - 7*r. Let i(j) = -3*j**2 - j + 2. Give -3*i(b) + 2*n(b).\nAnswer: b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (634*z - 634*z + 38*z**2)*(-50*z**3 - 39*z**3 + 24*z + 17*z + 111*z**3).\nAnswer: 836*z**5 + 1558*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 7*d**2 + 3\/16*d**4 + 0 - d**3 + 0*d + 1\/40*d**5. Determine q, given that t(q) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000378279845 rounded to 7 dps?\nAnswer: -0.0000378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11417, -22754, -34087, -45416?\n\"Answer: 2*h**2 - 11343*h - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1090404208?\nAnswer: 2, 17, 37, 108347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2610 or 520?\nAnswer: 2610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 8 + 6)*(-j + 2*j + 2*j)*(3 - 3 + 1)*(4 - 6 - 33) as p*j + m and give p.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*w - 2*f + 4, w + 6 = 3*f. Suppose -t + 2*s = t + 579990, w = t - 4*s + 289980. Round t to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24551 plus -97621585?\nAnswer: -97597034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20306 is divided by 71.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 418 = 34. Let u = -35 - n. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 5*m = 11, 81 = k - 4*m + 100 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.49 + 0.11. Let f = -6 + k. Let p = 10 + -6. Which is the closest to -1? (a) p (b) -2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 473 and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence onxm when four letters picked without replacement from famoooffafonxof.\nAnswer: 1\/6552","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 15 - -1*(-21 + -4)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 5736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.33 + -0.77. Let t = 3 + l. Let g be (-2)\/((-2)\/(-5)) - (-84)\/24. Which is the closest to g? (a) 1 (b) 0 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 10*h + 2. Let a be k(9). Let i = a - 16. Put 0.3, i, -2 in decreasing order.\nAnswer: 0.3, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1975225.8 to the nearest 10000.\nAnswer: 1980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7068 is divided by 272.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 34.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 41\/3 - (-1)\/3. Let g = y + 2. Calculate the greatest common divisor of 16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -431969, 2, 3, 0 in descending order.\nAnswer: 3, 2, 0, -431969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325 = -5*l + 90. Let u be 4\/8 + l\/2. Calculate the greatest common factor of 63 and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -911 - -916. Solve l*h + 2*q = -13, -5*q + 17 = -4*h + 33 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38184, 76376, 114568?\nAnswer: 152760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 9*w**2 + 1\/1500*w**6 + 0 - 2\/375*w**5 + 0*w**3 + 1\/100*w**4 + 0*w. Factor p(y).\nAnswer: 2*y*(y - 3)*(y - 1)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m. Let b be x(-4). Let l be b\/4 - (2 - 1). Suppose l = 5*v - 29620 + 2620. What is v rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -14 - (-70 - -69).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -981 - -987. Sort x, -2, 2 in decreasing order.\nAnswer: x, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 7 - (-3 + -3 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 5 - ((38 - 27) + -51 + -1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 4*z - z + 11 = 0, -z + 23 = -5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 6*h**2 + 66*h + 3. Suppose -176 = 19*f + 33. Let a be i(f). Solve 2*b + 1 - a = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -730727.\nAnswer: -730727, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2193 - -2611. Calculate the highest common factor of f and 152.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*u = -4*t + 32, 0 = 5*t - 2*u - 58. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x + 17*x + 12*x)*(2 + 2 - 6) + (4 - 3 + 1)*(183 - 183 - 19*x)*(2 - 4 + 7) + x - 2 + 1 - 2*x to b*x + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -870, -843, -840, -879, -978, -1155?\n\"Answer: -3*t**3 + 6*t**2 + 30*t - 903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 2. Suppose o - 2 = h, 9*o = 4*o + 2*h - 2. What is g(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.59 and 0.008.\nAnswer: -0.582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 1481?\nAnswer: -1481.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 25 (b) -5 (c) 4 (d) 2\/15 (e) 140\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3404947 is divided by 571.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 325.94117 rounded to the nearest ten?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -9 + (26 + -25 - -13).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 64.3764196 to 3 dps.\nAnswer: 64.376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-7\/2)*i)**(-22)\/(i\/(i\/(i*i\/i**(-2\/83)))*i\/i**4) assuming i is positive.\nAnswer: i**(2820\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 75\/14 or 4?\nAnswer: 75\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**3 - 354320*c**2 - 64*c - 316760068?\nAnswer: 6*c**2 - 708640*c - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(6*1*sqrt(76)*6 + 3))**2.\nAnswer: 10800*sqrt(19) + 2462625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*s**5 - 630*s**3 - 243*s - 1547539*s**4 + 1547539*s**4 - 3 wrt s.\nAnswer: 60*s**3 - 3780*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -89 + 113. Find the third derivative of 23*h**5 + 9*h**2 - 11*h**5 + n*h**2 wrt h.\nAnswer: 720*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w - 6. Let a(k) = -2*k + 6. Let r be a(0). List the prime factors of l(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l + 6. Calculate q(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 129 - 131. Let r be 9\/(-2)*(-4)\/6. What is the fourth smallest value in r, b, 0.4, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208664766?\nAnswer: 2, 3, 17, 107, 6373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -9, -1055254.\nAnswer: -1055254, -9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 18*b**2 - 13*b + 7. Calculate r(5).\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 6*d**3 - 226*d**2 + 748*d = 0.\nAnswer: 0, 11\/3, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**3 - 2*k**3 - 3*k**3 + 6*k**3 - 5*k**3 + 7*k**3 + (k - 6*k + 4*k)*(6*k**2 + 0*k**2 - 4*k**2) to y*k**3 + w*k + s*k**2 + g and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -586252\/3 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -1, 6, 4, -0.877 in decreasing order.\nAnswer: 6, 4, -0.877, -1, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 22. Let b be k(0). Suppose 2 - b = -5*l. Suppose -a - 5*i = 3*a - 67, l*a - 5*i - 77 = 0. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - z**2 + 129*z - 46. What is m(-12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzz. Give prob of picking 1 q and 1 z.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -512.76850162 + 1099.7685145. Let v = 587 - q. Round v to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 768 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 551 + -542. Suppose -3*i + 5*f - k*f + 2533 = 0, 4*f = 16. List the prime factors of i.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-15) + 0)*140. Let j be ((-6)\/(-4))\/(6\/w). Let b = -7 - j. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hoq when three letters picked without replacement from chohoqhhoh.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -3) + (-16 - 0). Let n be (27\/u)\/(4\/(-20)). Let m = 19 + -10. Calculate the highest common factor of m and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 + 2*d - 2*d)*(4 - 3 + 1) + (5*d - d - d + (-1 + 1 - 2*d)*(0 + 2 + 0))*(-2*d - 3*d + 4*d).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n - 3. Let a(c) = 1021*c + 1022*c + 2 - 2042*c. Let r(z) = -z - 4. Let w be r(-8). Determine w*a(l) + 3*u(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2529458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -548436.04108241?\nAnswer: -548441.04108241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -376*p + 370*p. Let k(t) = t**3 + 5*t**2 - 7*t - 3. Let a be k(-6). Let u = a + p. What is the remainder when u is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 7:54 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 0.19240389072656.\nAnswer: 1.19240389072656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 0 + 6. Let n = 21 + l. Suppose 0 = 61*y - 66*y - 10, y - 178 = -5*u. What is the greatest common factor of n and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2 - 4 - 2 - 6*v + 1. Give c(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2021011 - 2122002?\nAnswer: -100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4024 a factor of 84728658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 22165.4 from -74.\nAnswer: -22239.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394371065.\nAnswer: 5, 11, 651853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 17.9. Let v = -0.2 + m. Which is the smallest value? (a) 2 (b) v (c) 5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**2 + 3*h**2 - h**2 + 3*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1965085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*l**3*v - 15*l**3 - 3427*v + 3 with respect to l.\nAnswer: -9*l**2*v - 45*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/5)\/(65\/(29575\/(-70))).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020036 (base 7) in base 3?\nAnswer: -20020000020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5751, -5668, -5437, -4980, -4219, -3076, -1473, 668?\nAnswer: 3425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14569*r + 308 = 14613*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(176))**2 + sqrt(66)\/(sqrt(6) - sqrt(96)) + -1.\nAnswer: -sqrt(11)\/3 + 703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 4*p - 3*m, 2*p - 4*m = -16 + 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence keuk when four letters picked without replacement from uukukkuukueuu.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6}. What is prob of picking 4 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*j + 24480 - 2332 = 184*j + 92*j for j.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 3844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, b: 1, r: 1, z: 2}. Give prob of sequence zobr.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*f + 9. Find the second derivative of f*p**2 - 7*p**2 - 9*p**3 - 5*p wrt p.\nAnswer: -54*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -6*c + 35. Suppose p = -c*p + 75. Calculate the lowest common multiple of 9 and p.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 8:07 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2. Let n(i) = 520*i + 1. Determine n(o(g)).\nAnswer: -520*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y\/y**(-3))*y)\/y)**(8\/3)\/(y\/(y*y*y**11*y*y)*y*y**(-2)) assuming y is positive.\nAnswer: y**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-54)\/(-45))\/(1 + 2\/40). Which is greater: v or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*q - 0*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*((c\/(c*c**(-7)*c))\/c)\/c))\/(c*c\/(((c**(-9)\/c)\/c)\/c)))\/(c*c**(1\/4)*c**(3\/8)*c) assuming c is positive.\nAnswer: c**(-165\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, g: 2, s: 1, x: 2, t: 2, o: 4}. What is prob of picking 1 t, 1 g, and 1 x?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n + 2. Let i(r) = 9*r + 4. Let q(p) = 178*p**2 - p - 177*p**2 - 3*p. Let t be q(3). Calculate t*i(f) + 5*o(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, a: 1, l: 1, j: 2, d: 4, u: 1}. What is prob of picking 1 a, 1 l, and 2 j?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-6 - (-12 + 3))) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -104\/5 + 713\/35. Which is the biggest value? (a) n (b) -4\/3 (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/(-36)*-51167 - (-3 + 145\/45)?\nAnswer: 3, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 688828.5 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -22064+-0.101\nAnswer: -22064.101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3 + -2 + -3)\/((-12 + 11)\/1957) is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*o)*(2 - 6 - 9)*(-3 + 5 + 9).\nAnswer: -286*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1062187, 1062194, 1062191, 1062172, 1062131, 1062062, 1061959, 1061816?\n\"Answer: -j**3 + j**2 + 11*j + 1062176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8896, 8943, 8992, 9043, 9096, 9151, 9208?\n\"Answer: l**2 + 44*l + 8851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 291 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1233, -667, 277, 1599?\n\"Answer: 189*a**2 - a - 1421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -0.1. Let t = -15 - -20. Let g = 6\/7 + -104\/105. Which is the biggest value? (a) g (b) h (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57536*g**3 + 205147*g**3 + 723702*g**3.\nAnswer: 871313*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -21*x + 17*x + 4*n, 0 = -2*x + n + 8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 8:33 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 2)*4\/(-4). What is the common denominator of o + 33\/10 + 0 and 14\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90249727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15305 + 15304. What is the nearest to f in 0.4, 2, 27?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-12))\/(((-12)\/4)\/9).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3788 divide 1964630738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33220 - 33340?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4*h + v - 51, 2*h - 5*v - 42 = 0. Let i(w) = 8*w**2 - 32*w - 10. What is the hundreds digit of i(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 53*j**2 - 163*j + 421. Is o(87) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -595*s - 6163 + 6163 - 2*s + 2*s - 3*s + (-2*s - 5*s + 5*s)*(-2 + 3 - 2) + 0*s + 0*s + 2*s.\nAnswer: -594*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10086 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13196?\nAnswer: 2, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**5\/5 + 56*u**4\/5 - 64*u**3 + 68*u**2 + 318*u\/5 - 396\/5 = 0. Calculate u.\nAnswer: -33, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 921 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: Simplify (3*(-1 + ((sqrt(475) + 3)*6 - -1*(sqrt(475) + 2))))**2.\nAnswer: 11970*sqrt(19) + 212724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 17130 = 10*y. Find the second derivative of -3426 + 68*m - 23*m**2 + y - 26*m wrt m.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 82*t + 1301. What is x(-16)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 - -52. Suppose 480 = -o*g + 9*g. Let f = 401 - g. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 4*n**2 - 2*n + 3. Let i be u(-3). Suppose i*g = -5*g - 315. List the prime factors of 2\/(-9) - 1463\/g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**3 + 33*m + 1 + 2*m**2 - 1 + 6*m**3 - 5*m**3 to the form t*m + g*m**2 + r + f*m**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/2 + 2\/4. Let g(m) = m**3 - 3*m**2 + 2*m + 2. Let q be g(2). Suppose 0 = -0*w - k*w - q. Which is greater: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*y - 9. Let z(w) be the second derivative of w**5\/10 + w**4\/3 + 7*w**3\/3 - 3*w**2\/2 - 33*w. Is z(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**2 - 5*c + 5. Let b(y) = 5*y**2 - 8*y + 8. Let t be ((-2)\/3)\/((-2)\/(-9)). Let k(l) = l**2 - l - 4. Let w be k(t). What is w*d(j) - 5*b(j)?\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*o**2 + 58839006*o - 23535600 = 0. Calculate o.\nAnswer: 2\/5, 3922600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i + 15 = 55 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8 - -7)\/((-3)\/9). Let o be q*(-3)\/(9\/(-600)). Round o to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 11*n - 11. Let x be c(3). Suppose 21*w = x*w - 14. What is the remainder when (-482)\/(-18) - (-4)\/18 is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 9\/(-21)*353. Let s = d + 151. Which is the second smallest value? (a) s (b) -0.5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -2, 93, -3\/2, -6\/7, 1.7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 4*w = 5*j - 30, 3*w = j - 6 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 2*t - 2. Let x be (t - 4)\/(1 - 2). Solve 0 = -5*y - 4 - x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -89.2788 to one dp.\nAnswer: -89.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -83 - -236. What is the smallest common multiple of g and 279?\nAnswer: 4743","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**11*c**2*c*(c**(-9)*c)**(-1\/39) assuming c is positive.\nAnswer: c**(554\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2)*(-2*g + 2*g - 4*g)*(-3 + 2 + 0)*(-431*g + 1929*g - 911*g) to m*g + q + s*g**2 and give s.\nAnswer: -4696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-15))**(-2\/87))**(-32) assuming o is positive.\nAnswer: o**(-320\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4161\/589 - 9) + 2.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 402 and -16071.\nAnswer: -15669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 113 = -4*r, -3*l = 2*r - 4 - 39. Suppose r = o - 6. Suppose 5*a - 3 = 2*g + 9, 4*a + 4*g = o. Solve 4*j = a*s + 8, 0 = -4*s + 3*j + 2 - 11 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 208*m**4 - 356*m**4 + 680*m**4 - 2*m**3 + (0*m**2 - m**3 + 0*m**2)*(-2*m + m - m).\nAnswer: 534*m**4 - 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 750 - 148. Is z a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 0, -0.22, -3\/7 in increasing order.\nAnswer: -0.7, -3\/7, -0.22, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 81*s**2 + 13*s + 13. Let l(u) = -20*u**2 - 3*u - 3. Let a(q) = -2*d(q) - 9*l(q). Is a(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1071771*a - a**2 + 1071771*a.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 14.2. Sort z, 1\/3, 5, -0.3.\nAnswer: -0.3, z, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 4. Differentiate -6*b**2 + o*b + 10 - 5 - 2*b wrt b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/9 + 18*7\/21.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.283 and -208?\nAnswer: 207.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.09 (b) -10850 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3185 is divided by 994?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-26))\/((-1)\/2*(-144)\/(-108))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17034425 and 4?\nAnswer: 68137700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -t**6\/24 + 19*t**5\/6 - 497*t**3\/2 - 1350*t**2. What is the first derivative of x(u) wrt u?\nAnswer: -15*u**2 + 380*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/7, -1544\/11, 4, 3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1529 - -2291. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -25*i**3 - 34592*i**2 + 11068*i - 5546. What is u(-1384)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 683353 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2 + sqrt(200)))**2.\nAnswer: -1440*sqrt(2) + 7344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -377087496 and 27519.\nAnswer: -377059977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-27) + 58\/(-18). Suppose 14*n - 3 = 11*n. Let p be n\/(1\/t) + 3. Which is smaller: p or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 10*x - 12. Let f(c) = -50*c + 64. Let k(m) = 3*f(m) + 16*p(m). Let z(u) be the second derivative of -u**4\/12 - u. Calculate z(k(v)).\nAnswer: -100*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - -10020?\nAnswer: 10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34606 + -25965. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 8 = 2*b, 4*b = 3*x + 34. Let m(z) = z**2 - z - 4. Let f be m(0). Is (4\/x)\/(f\/78) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0138 - -0.0143. Let s = q + -0.0281323. What is s rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 17. Suppose -4*y - 3*m = -0*y - b, -5 = -m. Suppose 8*u - 2*u - 252 = y. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109960*o + 109960*o - 3*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 55, 67, 81, 97, 115, 135?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2 + 2*q - 3. Let g(m) = 4*m**2 + m - 2. Let v(s) = 2*g(s) - 3*t(s). Let o be v(-4). What is the derivative of 1 + 2 - o - y**2 wrt y?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 6*i**2 + i - 4. Let z be q(6). Let s be (-1 + z)*(5 - 3). Suppose -3 = -s*f + f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -408372654*p**3 + 724709234*p**2 wrt p.\nAnswer: -2450235924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, -1.2, 0, -2\/13, -3, -3\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30078 is divided by 2734.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.973 in 0.1, -0.3, -2, -3, 1, 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 19. Suppose 4*q - 3*l + 279 = -251, 5*l + 412 = -3*q. Let d = q + 121. Which is smaller: d or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -9*q**2 + 2323*q - 9144. Calculate s(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 383114010?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from ttjijtttiiitjttj?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*r - 40*r**2 - 92*r**3 + 32*r**5 - 5*r**4 + 152*r**3 + 125*r**4 = 0. Calculate r.\nAnswer: -3, -1, -1\/4, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 14, -5, 0, -2, 2.\nAnswer: -49, -5, -2, 0, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 1, 1944 in descending order.\nAnswer: 1944, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243223.\nAnswer: 29, 8387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1210203821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 35*h + 16. Let y(u) = -29*u - 13. Let v(t) = 4*l(t) + 5*y(t). Let r(o) = -7*o - 6. Let j be r(-4). Let c be j\/(-4) - 3\/(-2). Calculate v(c).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**3*q**4 + o**3 + o**2*q + 2*q**5 + 42*q**2 - 3*q wrt q.\nAnswer: -12*o**3*q**2 + 40*q**3 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 1.8, 7\/4, 0, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.327 - -10.1. Let l = v + 0.2270259. Round l to 6 decimal places.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 257 = 9. Let b = 9 - 4. Suppose 2*m + 5*h - 25 = m, b*m - u = -4*h. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 848 and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, x: 1, w: 1, f: 1, a: 1}. What is prob of sequence ax?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6242 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -991*v - 71 + 118*v + 71.\nAnswer: -873*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*o + o, 23 = -2*v + 3*o. Let u(z) = -2*z - 17. Let p be u(v). Sort -0.5, 2\/7, p in descending order.\nAnswer: 2\/7, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31956 is divided by 15780?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7}. What is prob of sequence hhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 5*x**2 - 9*x - 9. Let m be h(-6). Suppose q - 319 = 2*t, -5*q = -8 - 7. Let n = t + 257. Calculate the greatest common divisor of n and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4905\/(-120) + 1455\/(-7760)*2\/3?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 - -20. Let v(y) = y + 19. Let u be v(o). Let d be (155\/35 - u) + 50\/14. Solve 2*g - 2*p = -4, -3*g - 10 = -d*g - 3*p for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3. Let y(x) = -27*x**4 + 3*x**3 + 18. Let l(t) = -3*q(t) + y(t). Differentiate l(j) with respect to j.\nAnswer: -108*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 1238*j - 6142 = -1236*j, -3*j = 2*i - 6137. Does 32 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 6*v**2 + 4*v - 2. Let x be w(-4). Let g = -7868\/5 - -1588. Which is bigger: x or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 12*l - 1. Suppose 3*w = w + 8. Let u be j(w). Let n = -26 + u. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 3826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4}. Give prob of sequence rrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (33 + -30)*40454\/6?\nAnswer: 113, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 - c**2 + 2*c**2)*(-6*c + 8*c + 5 - 66*c).\nAnswer: -64*c**3 + 5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10957.898195 plus -0.2?\nAnswer: 10957.698195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-8))\/((-10)\/5)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2292717 - 2292791.999904. Let n = 75 + s. Round n to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/1)\/((-3)\/6444). What are the prime factors of (z\/64)\/(3\/(-12))?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 4:06 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 6*n**2 + 8*n - 6. Let j be r(7). Let i be j*(96\/4 - -2). Let u = i + -13. Calculate the highest common factor of 26 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*f - 3*f + 729867 + 179554. Does 15 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8272 by -22.\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eklcullugkkkukl. What is prob of picking 1 e and 3 k?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -131 (base 14) to base 13\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.3, -0.1, -3, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -399*c**2 + 1 - 1 + 398*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3058 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/1514 and -127\/12.\nAnswer: 9084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 222d19 (base 14) in base 13?\nAnswer: 318313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101130 (base 5) to base 13.\nAnswer: 1661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 499505?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 12:04 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04887387 to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49831 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 744 and 19688.\nAnswer: 1830984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3431306408 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -92, -4, 4, -5 in descending order.\nAnswer: 4, -4, -5, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 992 is divided by 495?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12101 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 + 34. Let t = f - 1.73. Let r = t - -0.73. Sort 1\/5, r, 0 in increasing order.\nAnswer: 0, 1\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2. Let l(y) = 12*y**2 - 4*y - 29. Let s be l(-5). Let j(v) = -132*v + s*v - 123*v. Calculate j(c(q)).\nAnswer: -72*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**25*n*n*(n\/((n*n\/(n\/n**6))\/n))\/n*n*(n**(-23))**30 assuming n is positive.\nAnswer: n**(-668)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72cac (base 14) to base 13.\nAnswer: 99064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2976887 and 12464.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 4*f - 95, 0 = 4*y - 3*y + 5*f. Find the second derivative of -a - 2409*a**2 + 2405*a**2 + 0*a + y - 2*a**3 wrt a.\nAnswer: -12*a - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 3 - -4) + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 9*v - 228013 + 228136 - 13*v. Determine y(27).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 3*m + 1. Let x be p(-2). Let i(a) = -a + 3. Let b be i(0). Solve -4*y = 4*g, 0 = b*y - g + x + 17 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1020, -1109, -1240, -1407, -1604, -1825, -2064?\nAnswer: -2315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4983 - 4979. Sort -9, y, -1, -34 in descending order.\nAnswer: y, -1, -9, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -8 (c) 2 (d) -1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 + k**2 - 3*k**2)*(-2 + 4 - 3) - 3 + 3 + 2*k**2 + 2*k**2 + 3 - 3 + 1133 + 3*k**2 + 7*k**2 - 1130.\nAnswer: 13*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -7*d**2\/2 + 3*d + 4. Is g(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 + 38. Sort -2, l, 3, -9 in decreasing order.\nAnswer: 3, l, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -5, 3, -6\/11, -475?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 2211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449584 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by -57.\nAnswer: 32\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/301, 5, -0.4, -4, 0.8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, f: 6, p: 1, l: 1, u: 2}. What is prob of sequence uup?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 less than 0.19?\nAnswer: 11.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53 (base 12) to base 13.\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30211, 33025, 37709, 44257, 52663, 62921, 75025, 88969?\nAnswer: 104747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 10:18 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 348.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(3\/2)*q*q**(3\/2)*(q*q**0)\/((q\/(q**(-1)*q*q))\/q) assuming q is positive.\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 418*w + 423*w + 15 = 0, -2*a + 5*w - 20 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 36.827149690995?\nAnswer: -35.827149690995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005668385 rounded to six decimal places?\nAnswer: -0.000567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/15)\/((26410\/3325)\/139)?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 34\/(-255) - (-227)\/15. Let d be 2\/7 + (-40)\/(-7). Calculate the highest common divisor of s and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbsjnvpn. Give prob of sequence pn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2881 is divided by 364.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3785324 is divided by 630887?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 0 - 3)\/(-1). Suppose 0*i = -2*u + a*i + 90, i - 45 = -u. Suppose -3*o + u = 2*o. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7523 - 7521. Solve -7*y = 3*a - 9*y - 1, -a = -q*y - 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*l = -18, -4*l = 2*h - h - 15. Factor 5*u**3 + 4*u**4 + 4*u**5 - 7*u**2 + 3*u**2 - 9*u**h + 0*u**4.\nAnswer: 4*u**2*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 3*i**8\/1120 + i**6\/72 + i**4\/4 - 3*i. Let g(w) be the third derivative of c(w). Find the second derivative of g(t) wrt t.\nAnswer: 108*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2613*b = -1277*b - 1265*b - 190735 for b.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/3 + 76*r**2\/3 + 880*r\/3 - 7744.\nAnswer: (r - 12)*(r + 44)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -8*i**2. Let s(y) = -2279*y**2 - y. What is s(f(l))?\nAnswer: -145856*l**4 + 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + 1. Let j(a) = 3*a + 3. Calculate the remainder when j(x) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2532 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = l + 24, -5*l + 30 = 5*a - 0. Let i(w) = 6 + 2 - 3 - l - 47999*w. Let j be i(-4). What is j rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11186425 < -11186415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8164859ml to litres.\nAnswer: 0.0008164859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1412\/3 + 475. What is the nearest to 2\/5 in -2, 2, 0.1, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 0. Let g(f) = -f**2 + 4*f + 7. Let c be g(5). Suppose 3*h + a = 18, -8*h + a = -7*h - 6. Solve b = -c*w - w - h for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(0 + 3\/6). Let x = -295 + 290. Let u = -1295 - -1294. What is the nearest to 0.1 in m, x, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46605062?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01235952 to 5 decimal places.\nAnswer: -0.01236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 485 = -494. What is the nearest to -0.1 in -2, 1.221, g?\nAnswer: 1.221","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 - -35. Suppose 0 = -2*i + n - 0. Sort -3, 5, i in decreasing order.\nAnswer: 5, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 4. Let t be k(-3). Let x(u) = 3*u**2 - 5*u + 3. Let f be x(3). Suppose -2*j - 3*j + 17 = z, f = 5*j. Is t != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, f: 1, h: 2, q: 1}. Give prob of sequence hf.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -568 - -1264. Is 24 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 f when four letters picked without replacement from {f: 3, w: 13}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-5) - (-57)\/5. Suppose -4*i + 5*l = -5*i - 12, -4*l = r. Let c be 1\/i + 534\/18. What is the greatest common divisor of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 n, and 2 p when four letters picked without replacement from {p: 4, s: 3, n: 2, m: 3, f: 4, h: 2}?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (-4 - -7 - 2). Suppose f*w - 259 = 686. What is the second derivative of -2*d**2 - w*d + 298*d + 3*d**2 - 2*d**2 wrt d?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 6\/19?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 634.999441 - 635. What is k rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1088 + -592. Suppose 110 = 6*f - r. What is the remainder when f is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**4\/12 + l**3\/3 - 10*l**2 + 22*l + 1. Let a be t(-6). Let d = 3 - -1. Solve q = -a*b + 3*q - 16, q + d = -b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40480309 - -40480292.9999704. Let b = y - -16. Round b to 6 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*a**5 - 13*a**4 + 4*a**2 - 62567*a?\nAnswer: -700*a**3 - 156*a**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ht when two letters picked without replacement from khhkhkkkhthtkhhhtttk?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c - 3*c + 78 = -7*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -46260.04 and 0.5.\nAnswer: -46259.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3314 is divided by 1599?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -113*s**6\/15 + s**3\/6 - 207*s**2\/2 + 267*s + 2. Find the second derivative of c(j) wrt j.\nAnswer: -2712*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 27*k**2 + k. Let w(p) = 7*p. Let i(n) = 3*n. Let o(r) = 23 - 4*r - 13 - 13 + 3*r. Let a be o(2). Let q(b) = a*i(b) + 2*w(b). Determine t(q(x)).\nAnswer: 27*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39 - -566. What are the prime factors of c?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179039847.\nAnswer: 3, 7, 8525707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 2*x = 19892, x - 20 = -4*x. What is the highest common factor of k and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2840 divide 13348000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, l: 4, b: 2, i: 3, o: 1, u: 3}. Give prob of picking 1 i and 1 l.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 127816651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.5 + 4. Let m = w - -1. What is the nearest to 1 in 3, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1660687357270 - 1529383450680252947\/920934. Let p = -9\/58472 - k. Find the common denominator of -89\/14 and p.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 2*c - 1555, -2*l + 4*l + c = 621. Let u = -289 + l. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 39182, 79993, 120790, 161567, 202318, 243037, 283718?\n\"Answer: -t**3 - t**2 + 40821*t - 1637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - (5 + -4)*6284. Let m = -4300 - i. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -720*k + 350*k + 1970 = -510*k + 12330 for k.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 22475*m + 1860. Let l(t) = 899*t + 75. Let p(k) = -124*l(k) + 5*o(k). Let r(w) = 9*w**2. Determine r(p(n)).\nAnswer: 7273809*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 549*c**2 + 2*c. Let t(o) = 3*o**2. Give v(t(d)).\nAnswer: 4941*d**4 + 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 73498207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*r = 733, 2*v = -v + 4*r + 442. Let q = 29 + -96. Let p = v + q. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3169475?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 797449, 2, 3, -50 in descending order.\nAnswer: 797449, 3, 2, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -30. Suppose -2*p + 65 = f. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19530\/169 less than or equal to 117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -885 + 4988. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25.14 + 327.26. Let j = 606.5 - b. Let c = j + -244. What is c rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*c + 4*c - 2*c + (-1 + 1 + 1)*(-c - 2 + 2))*(-5*c**3 + 2*c**3 + 2*c**3) to the form z + j*c**4 + v*c**3 + k*c**2 + t*c and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1220395.\nAnswer: 5, 11, 22189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 9*t**2 - 32*t - 9. Let s(n) = n**3 + 10*n**2 - 32*n - 9. Let v(q) = -3*s(q) + 4*z(q). What is the least common multiple of v(-9) and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -21. Let o(q) = -2*q - 4. What are the prime factors of o(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.3602442 kilometers?\nAnswer: 360244.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.2 - 5. Which is the biggest value? (a) -0.4 (b) x (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15 + -2 + -3)\/2. Let p(s) = 15*s**2 + 5*s - 1. Let c(b) = -b**2 - b. Let a(l) = t*c(l) + p(l). Differentiate a(h) with respect to h.\nAnswer: 20*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -19. Let t = 17.4 + -20. Let u = t + n. What is the biggest value in u, -2\/11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*i - 53*i = 99. Let b(y) = -9*y + i*y - 7*y + 27*y. Let v(r) = -r. Calculate b(v(w)).\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31169 * 0.3.\nAnswer: 9350.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -6*h - 10 + 0*h + 5. Let k(a) = a + 1. What is -5*k(q) - w(q)?\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i - 2. Suppose q + q = 4. Let y be x(q). Let d be (0 + y)\/((-6)\/(-21)). Solve 0 = 2*f + 1 - d for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/11, -55, 1\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.07814g in kilograms?\nAnswer: 0.09407814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 8*y - 74. Suppose -10 + y = 2*g. Suppose -g*z + 99 + 5 = 0. What is the remainder when z is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yytyiyyydtit. Give prob of sequence dyyy.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102336 = 8254*q - 630592 for q.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3255)\/(-147) - 22)\/((-1)\/(-497)). Solve -x + 4*z = 14, 69*x = k*x - 3*z + 18 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*c + 2. Let x be (c\/4)\/(8\/(-16)). What is the common denominator of 113\/10 and x\/(-2) + (-137)\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + ((sqrt(363) + -1)*-6 + sqrt(363) - -3*sqrt(363)*-2) + -3))**2.\nAnswer: -4356*sqrt(3) + 395343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1))**(-11\/2)*(d\/(d\/(d\/((d**(-4)*d*d*d)\/d)*d*d)))\/(d*d\/(d*d**2)))**(4\/11) assuming d is positive.\nAnswer: d**(24\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c = 2*c + 210. Let k be (-140)\/(1*-2)*(c + 16). Does 9 divide (-18*(-7)\/70)\/(2\/k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 908 divided by -4.\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2786, 10859, 24146, 42509, 65810?\nAnswer: 93911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9942*c**3 + 4973*c**3 + 4977*c**3.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(1 - 0 - 1). Suppose -7*h + 8*h - 10 = q. Suppose -3*o = -31 + h. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 8827*a**3 + 11*a**2 - 14*a - 16. Suppose -39 = -9*f + 33. Let h be o(f). What is h rounded to the nearest 100000?\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 2*m**2 - 3*m. Let r be x(3). Suppose 3*q - 1 = -3*j + 2, -5*q = r. Let l(h) = -5*h + h - 6*h + 1. Calculate l(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3605133 and 396?\nAnswer: 475877556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -6)*8*18\/48. Suppose -12*l + n = -9*l, 50 = 3*g + 4*l. Let q = -97 - -137. What is the greatest common divisor of q and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**5\/7 + 830*p**4\/7 + 5722*p**3\/7 - 32044*p**2\/7 + 43597*p\/7 - 18106\/7 = 0.\nAnswer: -823, -11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38660503.\nAnswer: 7, 31, 163, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146645 divided by -139.\nAnswer: -1055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -116, -191, -296?\nAnswer: -431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 5:30 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 632 + -582. What is the greatest common divisor of r and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 180594667\/354 - 510154. Calculate the common denominator of q and 19\/531.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 2*c - 3. Let d be z(2). Suppose d*n - 2*n = 0. Let x = 29 - 27. Solve n = -l - x*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of p**4\/4 - p**3 + p + 1. Let h be (6\/5 - -2) + 1\/(-5). Calculate q(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 16 + 16 = 0. What is the third derivative of 3*x**2 + 9 - c*x**2 - 13 + 3*x**2 - 9*x**5 + 6*x**4 wrt x?\nAnswer: -540*x**2 + 144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17)*-2 - sqrt(17)) + 4 + (sqrt(17) - -2*sqrt(17))*5 + sqrt(17))**2 + -6*(-1*sqrt(425))**2.\nAnswer: 339 + 104*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*d = -9, -5*d - 3 = 2*x - 0. Solve 3*z = -0*z - x for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14150 (base 7) to base 6.\nAnswer: -25505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 15608.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h + 5. Let i(o) = -o**2 - 10*o + 6. Let l be i(-11). Determine g(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-169 - -113) - -159?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -7) + -1 - (-47 - (49 + -96)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -388 - -392. Suppose d*g = -5*n + 135 + 5, -2*n - 4*g = -44. Are 30 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 11:23 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/21203 and 93\/9310.\nAnswer: 28199990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (4 + (4 - -4)) - -11.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 5*u + 4*u + (3*u - u - 3*u)*(-1 + 1 - 2) + (2 + 0 + 0)*(12*u + 0*u + 3*u) + 2*u - 1 + 1)*(-1 + 4 + 3 + (5 + 1 - 4)*(1 + 0 + 0)).\nAnswer: 288*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 5*g = 155, -381*g + 759*g + 315 = -5*f + 375*g for f.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 9. What is the remainder when (-3)\/((-18)\/28)*3 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37604 (base 9) to base 11.\nAnswer: 17a99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -21476.4 to the nearest 100.\nAnswer: -21500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8487408117238 + -0.2.\nAnswer: 8487408117237.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -125*c - 317. Let i(d) = -2*d + 3. Let o(t) = -b(t) + 4*i(t). Find the first derivative of o(j) wrt j.\nAnswer: 117","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2 - 2 + 11*j. Suppose 2*k = -5*y + 53 - 47, 2*y = 5*k + 14. Give n(k).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/25*(-4 + -6). Let n be 3\/(120\/q)*-5. Let b(g) = g**2 + 1. Let z(l) = -4*l**2 - 3. Suppose 8 = -2*a - 2, -11 = c + a. What is c*b(v) + n*z(v)?\nAnswer: -2*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 625945?\nAnswer: 5, 23, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 2*t**2 - 4*t - 2. Let q be z(-2). Suppose 5 = -5*x + y, -2*x + q*x - 3*y = -15. Suppose x = 3*r - 9 - 0. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -173218, -173216, -173212, -173206, -173198?\nAnswer: -173188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q + 2*q + 3*q)*(1 + 4 - 4)*(-1 + 2 - 3)*(4 + 1 - 4)*(-617 - 763 + 843) to y + z*q and give z.\nAnswer: 2148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k - 4*k + 0*k)*((2*k**2 + 2*k**2 - 3*k**2)*(3 - 2 + 1) + (2*k**2 - 2*k + 2*k)*(1480 - 153 + 42)) to h*k + f*k**2 + n*k**3 + v and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 455757404?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 p when two letters picked without replacement from qpqtgpqqffqqfffg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 - -85. List the prime factors of n.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 + -7718130?\nAnswer: -7717489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2765\/11 - -65425\/264. Calculate the common denominator of -12\/7 and t.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 16) to base 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 68569382 or 68569385?\nAnswer: 68569382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5591738 + -184470280\/33. Let s = j + -1729. Calculate the common denominator of -6\/7 and s.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/4 and 51\/97.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/3, 5, -3\/8, 5005, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/(-8) - 4\/16. Let c(n) = 6*n - 6*n - h*n**2. Let v(z) = 24*z - 96*z + 43*z + 27*z. Calculate v(c(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-1008))\/((-44)\/(-8) + -5).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7682 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*p - 93*p + 3353 - 169 = 44*p for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3088617 not equal to 3088545?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 2 = -0*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjv when three letters picked without replacement from {v: 1, a: 1, j: 2, o: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(4\/(-5)))\/((-16)\/32).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/(-5 - -3))\/1. Solve j = 5*u - 14 - 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42.74981498 - 9.2501861. Let y = d - -52. What is y rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1240 (base 16) to base 14.\nAnswer: 19ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -6420?\nAnswer: 6420.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7062655.\nAnswer: 5, 109, 12959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/3 - 73282*v\/3 + 317668.\nAnswer: -2*(v - 13)*(v + 36654)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74*n + 17327 - 17327)*(2*n + 3 - 4 + 0).\nAnswer: -148*n**2 + 74*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*v + 11979120*v**2 - 2235*v**5 - 11979120*v**2 - 39 wrt v.\nAnswer: -44700*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n**3 - 308853*n**2 - 349 + 3*n**3 + 308853*n**2 to b + x*n**2 + v*n + d*n**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 15, 1\/9020 in decreasing order.\nAnswer: 15, 1\/9020, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -8*y + 10*y - 11, 4*i = -2*y + 36. Let k(z) = 8*z**2 + 3*z + 1. Let j be k(-6). Suppose j = y*t - 113. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 - 2*c**3 + c**2)*(3*c - c + 0*c + (0*c + c + 0*c)*(-2 + 1 + 2)).\nAnswer: -6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, -135, -189, -241?\nAnswer: -291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -1 (c) -4\/5 (d) -3232 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -393030 by -196515.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2571 is divided by 172?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5 = 2*q - 1, 3*q = 0. What is the nearest to 1 in a, 2\/5, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/1*1\/2. Suppose -r*u = u - 24. Suppose 16*h + 2*h - 432 = 0. What is the greatest common divisor of u and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 631 = 2*i, a - 306*i = -302*i + 201. Is a a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1\/1101, 293, 10 in descending order.\nAnswer: 293, 10, -1\/1101, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1778621, 1778627, 1778635, 1778645?\n\"Answer: m**2 + 3*m + 1778617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 38*n**7\/21 - n**6\/15 + 9*n**3\/2 - 5*n - 2. Find the second derivative of h(f) wrt f.\nAnswer: 1520*f**3 - 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11, -0.5, -1\/13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 11:11 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**6*((c*c*c*((c*c\/(c\/(c**3*c)))\/c)\/c*c*c)\/c)\/c*c*c**8*c*(c\/c**(-11))\/c assuming c is positive.\nAnswer: c**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -15. Suppose 4*v = 9 + 7. Calculate the least common multiple of s and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(567) + -1 + 4 + -4*sqrt(567) + 3 + 2*(-4*-1*sqrt(567) + 2*(sqrt(567) + 0)))**2.\nAnswer: 810*sqrt(7) + 45952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1186836*g**2 - 1181559 wrt g?\nAnswer: -2373672*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-6)\/21)\/(((-45)\/175)\/9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119)*1 - sqrt(119))*4)\/sqrt(7) - (sqrt(17) + sqrt(68)\/(sqrt(4) - sqrt(64)))*-6.\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 7:58 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 4403 and 136520\/31 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*m**3 - 5 + 3621*m - 7243*m + 3623*m)*(-m - 2*m + 2*m) + 2*m - 4*m**4 - 2*m.\nAnswer: -25*m**4 - m**2 + 5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 831011, 1661978, 2492901, 3323780?\n\"Answer: -22*m**2 + 831033*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2))**(-7))**(-41) assuming f is positive.\nAnswer: f**(-574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 l, and 1 r when three letters picked without replacement from lllxrrrxllllllrrrrx.\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 3*u - 2326, -3*i - 4*u + 0*u = -1389. Suppose 4*r - i = -0*o - 5*o, -5*r + 588 = 2*o. Is r a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 2 + 4\/(-1). Let r = -0.021 - -14.021. Let k = -12 + r. Which is the closest to 2? (a) u (b) k (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 166, 4, 2, 5, -450.\nAnswer: -450, -3, 2, 3, 4, 5, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 14) in base 16?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -60? (a) 410 (b) -0.01 (c) -3 (d) 43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/(((-120)\/198)\/(-5)).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 213\/12 - 2\/(-8) - 4. Suppose -2*g + h = 3*m, g + m - 3*m = 0. Let -91*w**2 - 83*w**2 - g + 4*w + 173*w**2 = 0. Calculate w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -91a896 (base 14) to base 10.\nAnswer: -4907972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -402 = -2*x + 1090. Let i = 86 + -73. Find the third derivative of 8*k**3 + i*k**3 + 14*k**2 - 746*k + x*k wrt k.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -289082 + 289085. Suppose 5*p = -0*a - a + 163, 0 = 3*p + 3*a - 105. What is the greatest common divisor of d and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 16*q + q**5 + 20*q**5 - 110*q**4 + 29*q**5 + 12*q**2 + 38*q**3 + 34*q**2 = 0. Calculate q.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 7*y + 3. Let q be m(7). Solve -q*b = 2*j, -28 = 5*b - 5*j - 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1087 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 - 51134565?\nAnswer: -51134557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 6*i - 6. Let h be u(7). Let x(z) = z - 7. Let t(m) = 1. Let j(f) = 6*t(f) + x(f). What is j(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/180)\/(2\/12).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*z - 3*z - 56 = 0, 5*t = 3*z + 70. Let w = -177 + 195. What is the lowest common multiple of t*2*(-2)\/(-4) and w?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -1 + -12 + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/45 - 47\/9. Suppose -6*i = 7 + 11. Let v(n) = n + 1. Let j be v(i). Sort j, 1, z, 3 in increasing order.\nAnswer: z, j, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4393*c**5 - 18445*c.\nAnswer: 87860*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -30069.6 take away -0.5?\nAnswer: -30069.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3)*(-6)\/45*105\/(-14)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 274846.6 millimeters to kilometers.\nAnswer: 0.2748466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23172, -46334, -69486, -92622, -115736?\nAnswer: -138822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (5 + 7 - 4 - 16)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 1464?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/26 and 69\/77054198?\nAnswer: 77054198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxp when three letters picked without replacement from {p: 2, x: 1, f: 2, a: 1, t: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4247977824 and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -787919468 divided by 2?\nAnswer: -393959734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 4*w + 18. Let s be x(0). Solve 0 = -4*j - 2*f + s, -f + 0 = -3*j + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 0.28690398.\nAnswer: -0.14345199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*a + 24*a + 20*a - 8*a + 22*a.\nAnswer: -60*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 64, 5, -2, 2 in descending order.\nAnswer: 64, 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 - 3*m - 1. Let r(s) = 3*s**2 + s + 1. Let f(t) = d(t) + 2*r(t). Let i(u) = 7*u**2 - u + 1. Calculate -5*f(z) + 6*i(z).\nAnswer: 2*z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4500 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -0.249, -5, 5\/4, -14, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 2717168.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 13. Suppose 4*g - 3*g + 2*b = 6, -3*g + 18 = -a*b. What is the third derivative of i**5 - 2*i**2 - g*i**5 + i**2 wrt i?\nAnswer: -300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-10)*190*((-75)\/6)\/25.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z**2 + z - 5. Let k(w) = -w + 6 - 3*w**2 - 1 + 1. Let f(i) = 5*k(i) + 6*o(i). Is f(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2194 - 2197. Suppose -6*i + i + 5 = 0. Sort i, w, 2 in decreasing order.\nAnswer: 2, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 849*u**2 + 5*u + 3. Is d(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277945 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001183266723 rounded to 6 dps?\nAnswer: 0.001183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/11 - 18*w**2\/11 + 1296*w\/11 - 864.\nAnswer: -2*(w - 12)**2*(w + 33)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 - 85 = 3*t. Suppose 16*w - t*w - 18 = 0. What is the remainder when 15 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -12. Let m(n) = v*n + n**2 - 2*n + 0*n - 5*n. What are the prime factors of m(-3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/2 in -0.03, -2\/5, 1, -5, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + l)*((-9 - 5 + 4)*(-4 - 1 + 3) - 2 + 1 + 3) + (-l + 5*l - 3*l)*(-1 + 4 - 5) + l - 4*l + 2*l + 6*l - 2*l - 2*l.\nAnswer: 21*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.094 + 4.094. Let w = -4.97 - 0.03. Which is the second smallest value? (a) -1\/4 (b) u (c) w (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 q when two letters picked without replacement from qeeeqqeeqeeeq?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3248\/145 - 21)*(0 + 0 + 1).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3353 is divided by 974?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 17\/(-2 - 15)*2\/(-2). Put 4, -3, l, 0 in decreasing order.\nAnswer: 4, l, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3875720388 to the power of 1\/2, to the nearest integer?\nAnswer: 62255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 60296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/57 - 1433\/114. Find the common denominator of 49\/8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 6:46 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (70\/(-15) - -4)*-2631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v - 157 - 3*v + 0*v - 1378 - 1615.\nAnswer: 2*v - 3150","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -15396638 rounded to the nearest one hundred thousand?\nAnswer: -15400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -5, -1, -4, -53, 5.\nAnswer: -53, -14, -5, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 299, 838, 1675, 2834, 4339?\nAnswer: 6214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/707 and -1\/92.\nAnswer: 65044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 244120 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 392528152 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -76771*(2\/(-5))\/(94\/235) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4 + 14 = 5*v, 50 = 5*f + 5*v. Suppose -4*l + 4 = -f*l, 0 = 2*n - 2*l - 16. Solve 5*d = n + 21 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6117 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.4 - 83798138771.\nAnswer: -83798138767.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 913 is divided by 57?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 7:45 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19115, 75998, 170803, 303530, 474179, 682750, 929243?\nAnswer: 1213658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -463 + 938. What is the remainder when o is divided by 68?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*x**4 - 33316831*x**2 - 6*x - 16721028.\nAnswer: -24*x**2 - 66633662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 82435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7964186 take away -0.1?\nAnswer: -7964185.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 25346283 divided by 7\nAnswer: 25346283\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {w: 1, q: 7, u: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 36 = -i - 3*i, -5*f + 10 = 0. Suppose -4*n - 2*g + i*g = -49, 4*g + 20 = 0. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -1\/30 (c) 2.12 (d) 0.9 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1463, -1464, -1465, -1466?\nAnswer: -1467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/90)\/((-5)\/90))\/((-4)\/(-310))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 1\/20*c**5 - 1\/60*c**6 - 20*c + 0*c**2 - 1\/6*c**3 + 1\/24*c**4 + 0. Factor n(d).\nAnswer: -d*(d - 2)*(d - 1)*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 251*h**7\/42 + 529*h**3\/6 + 75*h - 2. Find the second derivative of m(f) wrt f.\nAnswer: 5020*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) 20 (c) 0.4 (d) -49.4 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.012, -5, 2\/3?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 5*i**2 + 31*i - 7. Determine c(8).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4844\/5 - -58843\/60. Calculate the common denominator of z and -29\/5.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*4*(sqrt(28)\/sqrt(64) + sqrt(504)\/sqrt(8)))**2.\nAnswer: 18928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 214798?\nAnswer: 214794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*d**2 + 21*d**2 + 122615*d - 122563*d.\nAnswer: d**2 + 52*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/187016 and 61\/654556.\nAnswer: 1309112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 94, 1003, 5, 3 in descending order.\nAnswer: 1003, 94, 5, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 27 = -4. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 932 - 873. Sort -2, g, -4.\nAnswer: -4, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 211 - 177. Calculate the remainder when p is divided by 24.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 6 = -2*f, p + 6 + 1 = 2*f. Solve 4*j + 0*j + 12 = f*m, -5*j - 18 = -2*m for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343142 is divided by 32?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 10:39 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/66827635 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 329103309 and -4.\nAnswer: 329103305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**3 - 3*u**2 - 4. Let j(g) be the second derivative of g**4\/12 + g**2\/2 + 2*g - 23. Give 4*j(f) + x(f).\nAnswer: 4*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - n + 4. Let r be (-8)\/((-64)\/60)*8\/20. Determine m(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 - 17*t - 4. What is l(8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**5\/3 - 45*m**4 - 251*m**3\/3 + 677*m**2 + 1596*m = 0.\nAnswer: -133, -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 376006, 751994, 1127986, 1503982, 1879982?\n\"Answer: 2*p**2 + 375982*p + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7518 and 6594.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 times -9297?\nAnswer: -1031967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11c (base 13) in base 6?\nAnswer: -522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96)\/5*((-90)\/(-279))\/((-316)\/(-2449)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 x, and 1 l when three letters picked without replacement from {x: 9, i: 2, f: 3, v: 1, l: 2, g: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 1386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 0*l**3 - 12 + 3\/28*l**4 + 0*l + 0*l**2. Factor f(m).\nAnswer: 3*m**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 6:00 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 21 + 15. Suppose -213 - 93 = -h*x. What is the remainder when x is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010 - 11?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*c**5 - 6*c**3 + 11*c**2 + 36?\nAnswer: 1440*c**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -8*z**3 - 45*z**2 - 6*z + 3. What is the tens digit of j(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -7 + (-5615)\/(-10) + (-6)\/4.\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1260, 34 in descending order.\nAnswer: 1260, 34, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116933623?\nAnswer: 116933623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -26 + c**3 + 24 + 0*c**3. Let k(a) be the second derivative of 3*a**5\/20 - 7*a**2\/2 - 14*a. Determine 7*g(j) - 2*k(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16.92 + 1.26. Let s = b + -0.18. Let h = 23 - s. Put 0, -2, h in descending order.\nAnswer: h, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5.7, -2\/1558373, -4 in descending order.\nAnswer: 5.7, -2\/1558373, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 0*v - 8. Solve v*u - u = 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 10 + 3 - 2*u + 3*u. Let z be o(-10). What is the third derivative of -2*w**4 + w**2 - 4*w**z + 4*w**3 wrt w?\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3365008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 34431151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -b - 3*j, -2*b + 2*j = 4*j - 2. Suppose b*t - 3 = o, 3*t + t + 4 = 4*o. Suppose t*r = -3*r + 175. List the prime factors of r.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -6\/17, -5, -2.75 in ascending order.\nAnswer: -5, -2.75, -6\/17, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - d**2 - 2*d + 6. Let z be w(5). Let g = -42 + z. What is the greatest common divisor of g and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-68 + 0 - 27)*(-2*x + 2*x - 16*x**3) - x**3 + x - x to the form a + u*x + s*x**2 + l*x**3 and give l.\nAnswer: 1519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -41*u + 1700. What is k(42)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -7\/3 (b) 14 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - 2 - (7189\/(-6162) - (-1090)\/(-12)).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95238.\nAnswer: 2, 3, 11, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-38)\/12 - -3) + (-21835)\/(-330). Solve 20*t - 26 = -x for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 3, -3, 5 in descending order.\nAnswer: 5, 3, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3415.3 times 0.5?\nAnswer: 1707.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 33*f**2 - 70*f**2 + 34*f**2. Let b(p) = 5*p + 3 - 3. What is b(j(g))?\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -35 + (-13 + 11 - -15). Let b(u) = 5*u + 123. What is b(f)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-122414)\/(-3155) - (-284)\/20?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m**3 + 14*m**3 + m**2 + 7*m**3 + 0*m - m. What is the units digit of c(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 370*n - 373. Determine t(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1378*c**2 + 59*c**3 - 1 + 1 - 1377*c**2.\nAnswer: 59*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 349 - 174 = 4*b, 414 = 4*f - b. Suppose -256 = -2*s - 4*k, -4*s + 3*k + 604 - f = 0. List the prime factors of s.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-136)\/(-51))\/((-18)\/81*(-3)\/4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141973 is divided by 47323.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**3 + 131*q**2 - 435*q + 131. Give x(62).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i - 6. Let k(u) = -2*u + 6. Let o(d) = -4*k(d) - 3*y(d). Let g be o(-12). Let r = 15 - 11. Solve -r*w - g + 2 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + -14. Let x = n - -11. Let p = x + 32. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -133*b - 3*b**2 + 62*b + 71*b. Let w(f) be the second derivative of 2*f**3 - 4*f. Determine w(q(y)).\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 18. Is o(6) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*o**2 + 698094 - 698094.\nAnswer: -126*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2 + sqrt(325) + 2 + (-1*(0 + sqrt(325)) - ((sqrt(325) - (sqrt(325) - (2 + sqrt(325)*-1 - sqrt(325)))) + sqrt(325))) + 0)**2.\nAnswer: -70*sqrt(13) + 374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 8892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*r + 4*k - 12 = 0, r - 1 = 3*k. Let g(z) = -z**3 - 7*z**2 - 5*z + 4*z**2 - 7*z**2 + 5 + 3. Let w be g(r). What is w rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -674 - -1263. Let s = x - 290. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 40 = -59. Calculate the remainder when ((-18)\/(-33))\/3 + 753\/h is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 625*q**4 - 637*q**4 + 22 - 1035*q**4 - 10*q wrt q.\nAnswer: -12564*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -654*x - 12 - 942*x + 83*x.\nAnswer: -1513*x - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-5)*(-4 - -19). Let i be (7\/(-35))\/(2\/10). Is z\/(-4)*(i - 445) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93316665 to the nearest integer?\nAnswer: 9660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 b when two letters picked without replacement from {k: 1, b: 4, x: 1, a: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/27 - (-76)\/18. Suppose 5*l - 12 = -t + 4, 3*t = i*l - 9. Sort -4, -1, t in descending order.\nAnswer: t, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 562 * 5\nAnswer: 2810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 33 + 35 = 0. Let q = k - 12. Suppose -q*b = -3*b - 6. Solve 0 = -b*l + 14 - 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 9:02 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 1\/3*q**3 + 0*q**2 + 1\/12*q**4 - 1\/20*q**5 + 0 + 16*q. What is i in w(i) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**4 - j**2. Let k(g) = 6*g**4 - 2*g**2. Let n(m) = -k(m) - q(m). What is the third derivative of n(d) wrt d?\nAnswer: -168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*h + 7 + 13. Solve h*u = -0*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + v**2 - v - 1. Let i be x(0). Let j(c) = 20*c**2 - 17*c - 10. Let t(f) = 13*f**2 - 12*f - 7. Let m(y) = -5*j(y) + 7*t(y). Calculate m(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**5 - 2*g**5 + 0*g**5 + (-g**3 + g**3 - g**4)*(3 + 5*g - 3) + 4*g**5 + 0*g**5 - 3*g**5.\nAnswer: -3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -132*z**4 + 14452*z**3 - 35156*z**2 + 6284*z + 14552 = 0.\nAnswer: -17\/33, 1, 2, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 3*v + v)*(3078304*v + 3 - 3078304*v + 230*v**4 + 2*v**2).\nAnswer: 460*v**5 + 4*v**3 + 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.1 - -34643441?\nAnswer: 34643462.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {v: 3, k: 5, u: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001241 to 7 dps.\nAnswer: 0.0000124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 11\/73, -2, 4 in descending order.\nAnswer: 4, 11\/73, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 t when three letters picked without replacement from ptrturzhz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 2*g + 3. Let u be x(5). Let a = u + -18. Suppose a = -0*f - 2*f - 2*w + 76, -2*w - 6 = 0. List the prime factors of f.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -283539*c + 283555*c - 512 for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96210.\nAnswer: 2, 3, 5, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**9\/l**(-3\/8))\/(l**0)**18)**39 assuming l is positive.\nAnswer: l**(2925\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -263 - -294. Let w = 31.1 - z. Which is the third smallest value? (a) -1 (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 2 + 1\/2*q**3 + q + 0*q**2. Let f(a) be the first derivative of c(a). Let v(o) = -2*o**2. Give f(v(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16364\/5 or 3274?\nAnswer: 3274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136.1427 hours to milliseconds.\nAnswer: 490113720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.586809 kilometers in centimeters?\nAnswer: 458680.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3575 times -57.47?\nAnswer: 20.545525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**5\/y)*y**(-1\/2))\/((y**(-1\/2)\/y)\/y)**(-3\/25)*((y**5\/y*y)\/y*y**1)\/(y*y*y\/(y*y**(-1\/2)\/y))**(-4) assuming y is positive.\nAnswer: y**(76\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 77, 11, -0.12, 0.4, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42453 (base 6) to base 13.\nAnswer: 2838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-6))\/(((-72360)\/486)\/(-67))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 182*f - 2*f**4 - 63*f - 2*f**3 - 60*f - 55*f - 2*f**3 - 6 - 2*f**2 as g + y*f + t*f**2 + r*f**3 + m*f**4 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/396 and -23\/878799.\nAnswer: 116001468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -2\/15 (c) 0.2 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -88*b**4 + 15486*b**3 + 41*b + 163116799 wrt b?\nAnswer: -352*b**3 + 46458*b**2 + 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**5\/x)\/(x**5\/x))\/(x**0*x)**(-16))**10 assuming x is positive.\nAnswer: x**160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 7:15 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59 + 68. Suppose 0 = 40*k - 37*k - i. Does k = -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = r - 2*z - 29, 0 = 2*z + 2. Let q be 9\/1 + 0\/r + -4. Solve -5*o = -2*w + 20, -q*o - 3*w + w = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w**2 - 4*w - 4. Let x be b(-4). Let k(j) = j**3 + 15*j**2 - 15*j - 8. Let t be k(-16). Let h be (-3)\/(t\/x)*-2. Solve -4*d + h + 3 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d - 4. Let p be z(-6). Let w(h) = -4 + h + p*h + 0*h. Calculate the smallest common multiple of w(3) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.11? (a) 5 (b) -0.1 (c) -5 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1540945 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.4, 0, -2347 in descending order.\nAnswer: 2, 0, -0.4, -2347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2544 + 9*t**2 + 2544.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38955\/(-20776)*(-744)\/10*(-6)\/(-27)*2.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*j - 244 = 39*j + 1436 for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 21. Factor -3*l**3 - 7*l**3 - 1 + l**f + 2*l + 8*l**3.\nAnswer: (l - 1)**3*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.4 (b) -3\/8 (c) -5 (d) 0.3 (e) -97\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebb when three letters picked without replacement from {w: 1, b: 2, v: 2, j: 2, e: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**3\/5 + 25152*n**2\/5 - 10062*n + 25156\/5 = 0?\nAnswer: -12578, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h + 2*h + h - 5. Let f be 44\/3*(-12)\/(-8). Let z be f\/5 - 4\/10. Calculate k(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - i + 15, 5*k - 43*i + 47*i + 24 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (15\/(-30))\/((-2)\/20). Suppose n + 4*x - 547 = 6*n, p*x = -2*n - 199. Let b = 166 + n. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30300 (base 16) in base 9?\nAnswer: 330666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 1 - (7 - (-18 + 12)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) -0.2 (c) 1236 (d) -0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -88e39 (base 16) in base 5?\nAnswer: -120420242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2099724 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22243234 + 2?\nAnswer: -22243232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 4623.08359.\nAnswer: 4622.58359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (6*((sqrt(325)*-1)**2 + sqrt(325)) - sqrt(325)) + -5 + (sqrt(325) + sqrt(325)*1)*-5 + -5)*6 + 5.\nAnswer: -150*sqrt(13) + 11663","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*f + 13*f + 2. Let c be (((-18)\/(-4))\/3)\/((-1)\/f). Is 10\/5 + 146*3 + c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5 - 1 - 9*c + c**2 + 0*c**2 + 2*c. Let f = 15 + -7. Calculate the remainder when s(9) is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 2\/7 (b) 0.06 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122126978 is divided by 6784832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*s - 9*s + 24*s + 2806 - 5*s.\nAnswer: -4*s + 2806","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(6\/(-2))*-12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*y + 38 = 0, -k - 2*y + 34 = 3*k. What is the remainder when 50 - (-12)\/k*35\/14 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r = 7*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2724 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 48?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 250 and 30.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22.035 + -22. Let m = b - -0.045. Let s = m + -0.18. Is 7\/5 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 2, h: 8}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*w - 26*w - 25 + 52*w - 4*w**2 + 61*w**3 - 6*w**3 wrt w?\nAnswer: 330*w - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+-4.78579588\nAnswer: -4.48579588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*((r*r**(6\/17))\/r)\/r*r**(-3)*r**(2\/23)*r*r**6)**(2\/33) assuming r is positive.\nAnswer: r**(3472\/12903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2119 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.23 + 1.1. Let t = s - -0.078. What is t rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + 11*i = 6*s - 499, 4*i + 162 = -4*s - s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + -b8a04c?\nAnswer: -b8a057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 34*o**2 + 112*o - 1096. Give a(-11).\nAnswer: 455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f. Let n be t(-2). Suppose 0*g + 1 = g. Suppose -9*r - 32 = 4*m - 13*r, 5*r - 32 = -3*m. Sort m, n, g in increasing order.\nAnswer: n, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5145573319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2704 is divided by 477.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59114186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3307*x - 5*g - 15 = -3312*x, 3*g = x - 13 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -19724643.\nAnswer: -3944928.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -205619330*b**2*f**2 - 126*b*f**2 + 3*b*f + 1252 wrt b?\nAnswer: -411238660*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3506373.5349 - -3506931.53489222. Let a = d - 558. What is a rounded to seven dps?\nAnswer: -0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l - 5. Let o(q) = 2*q - 4. Let r be -14 - 14*(-9)\/18. Give r*o(s) + 6*c(s).\nAnswer: -8*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -23.7, 5, -23, 8\/13?\nAnswer: -23.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 4*b + 3. Let s be y(-4). Let k = 2019 + -2018. Sort k, s, -2\/5 in increasing order.\nAnswer: -2\/5, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 138141345938*u**2\/5 - 4205008*u\/5 + 32\/5 = 0.\nAnswer: 4\/262813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a85 (base 11) to base 9.\nAnswer: -1707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of n**6\/600 - n**5\/100 - n**4\/120 + n**3\/10 - 37*n**2\/2 - 2*n. Let b(r) be the first derivative of i(r). Factor b(u).\nAnswer: (u - 3)*(u - 1)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-58)\/28 + (-30 - -25) and 1 - (-106)\/(-4) - -1?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, h: 2, s: 1, f: 2}. Give prob of sequence os.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1196 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -2\/19 (c) -2 (d) -0.8 (e) 0.5 (f) -0.81 (g) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 540 divide 55464319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 342230382*-0.5.\nAnswer: -171115191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100011 - 1111?\nAnswer: -100110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -337, 0.3 in increasing order.\nAnswer: -337, -0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(81) - (sqrt(81) - (sqrt(81) + (sqrt(81) - -2*sqrt(81) - sqrt(81) - sqrt(81)) + sqrt(81))))\/sqrt(9)*-1*-1)\/((sqrt(33)*2*-5)\/sqrt(11)*-3))**2.\nAnswer: 3\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11098088 or 11098083?\nAnswer: 11098088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 21 + 5. What is the smallest common multiple of 14 and p?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10197407*f**4 + 365656*f**2 - 3*f + 1 wrt f.\nAnswer: -244737768*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -2 - 2) + (3 - 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -5*i + 40, -i - 3*o - 51 + 72 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ejjj when four letters picked without replacement from jejjjjjjjjjjjjjjjjj.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31029979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 99 - 97. Let q(h) = 11*h + 3 - 7 - 2*h. Calculate the remainder when 40 is divided by q(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.3, 0.16, 0.5, 2991\/43 in descending order.\nAnswer: 2991\/43, 5, 0.5, 0.16, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -4*a - 16, -89*a + 10 = -87*a - 4*n for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14 + (-2 - -4) + -3. Let p = s - 14. Suppose 5*v = 5*z - 2 + 7, 0 = 3*z. Sort -4, v, p in decreasing order.\nAnswer: v, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 126\/104 - (-9)\/(-12). Is 1 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 - m**2 + 3*m**2)*(1 + 2*m**2 - 1 + (2*m - 2*m + m)*(-5*m + m + 3*m) - 3*m**2 + 0*m + 0*m).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7\/6, -5, -3, -0.09, 5 in descending order.\nAnswer: 5, 4, -0.09, -7\/6, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 5. Suppose 3*x - f*x = 7. What are the prime factors of (-72)\/(-7) + 2\/x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (588\/15)\/(-14)*168\/(-294)*(-620)\/8?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 224136612 to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - (-19 + (2 - -1)). Solve -2*f + 7 = -2*w + 3*f, -w - 3*f = -b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1159 - 752. Suppose 17*c - p = 6*c. What is the remainder when 145 is divided by c?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.52 + -1.49. What is the nearest to 1 in g, 2\/3, -0.2, 0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**5 + d**4 + d**2 - 2. Let k(r) = -8*r**5 - 85*r**4 - 264*r**3 + 1123*r**2 - 400*r - 6. Let p(u) = 3*j(u) - k(u). Suppose p(x) = 0. Calculate x.\nAnswer: -10, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 44525, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11 (b) 10 (c) 3\/5 (d) -5 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -2. Let k(l) = 27*l**2 - 3*l + 3. Let b be k(u). Suppose -2*m + 4*h = -22, 7 + 12 = m + 2*h. Calculate the highest common factor of b and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 234938354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22)\/((130\/(-7235))\/13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m + 27. Calculate the lowest common multiple of 9 and k(10).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3336 - 6630\nAnswer: -6630.3336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -5 + 1\/48*x**3 + 0*x - 1\/96*x**4 + 1\/480*x**5 - 13*x**2. Factor s(g).\nAnswer: (g - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 7*s = 20. Let q = 100.6 + -102.6. What is the closest to 0 in 0.5, s, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a**3 - a**4 + 2*a**3)*((-2 - 3 + 2)*(0 + 2 + 0) - 2 + 1 - 2) to v*a**4 + z*a + b*a**3 + q*a**2 + t and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16289 - 16285. Factor 4\/5*j**m + 0*j + 0*j**3 - 32\/5*j**2 + 64\/5.\nAnswer: 4*(j - 2)**2*(j + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62927 is divided by 567.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -63, 3, -632128 in decreasing order.\nAnswer: 3, -63, -632128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**5 - 2*f**5 + 6*f**5 + 3*f**5 + 2*f**5 - 4*f**5 + (3*f**3 - 4*f**3 + 2*f**3)*(4*f**2 + f**2 - 2*f**2).\nAnswer: 6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 9*z + 11. Determine w(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/13 (b) 4 (c) 3 (d) 0.8 (e) 0.09\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixteenth of a century?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/2 + 10077*j\/2 - 183330.\nAnswer: 3*(j - 36)*(j + 3395)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2354958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2781160 divided by 1\nAnswer: -2781160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-5 - (1 - 5) - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 152 + -152.089. What is a rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -524371 + 524371 - 62*w**3 - w**2 to d*w + z*w**2 + q*w**3 + y and give q.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -10*c + 176. Determine f(18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31345, -62546, -93609, -124540, -155345, -186030, -216601?\nAnswer: -247064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - r = -11, 34*r - 29*r - 25 = 4*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -138221765*b**2 + 272704041*b wrt b?\nAnswer: -276443530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -25*l**2 + 0*l**4 - 2*l**3 + 0*l + 0 + 1\/6*l**5. What is the first derivative of h(t) wrt t?\nAnswer: 20*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98735006 to the power of 1\/3, to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 2\/3, -2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17550*q - 6436*q - 4915*q + 5754*q + 31453*q.\nAnswer: 43406*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1253.1 * -7824.\nAnswer: -9804254.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 9*v**2 + 6*v + 5. Let i(f) = f**3 + 1. Let z(j) = 2*i(j) + n(j). Let m be z(-8). Calculate the highest common divisor of m and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.32 - -0.32. Put 0.3, -0.05, w in ascending order.\nAnswer: -0.05, w, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 - 7*m**3 + 0*m**3 + 8*m**3 - 1870.\nAnswer: m**3 + m**2 - 1870","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1053 and 234.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4)*y)\/(y*y**36) assuming y is positive.\nAnswer: y**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 26*d**2 - 14*d + 2. Is u(3) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.7, -1, -2\/3.\nAnswer: -3.7, -1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -14. Which is the nearest to s? (a) -2\/3 (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - m**2 + 3*m - 2. Let f(p) = 799*p**3 + 17*p**2 - 51*p + 34. Give -f(o) - 17*y(o).\nAnswer: -782*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 129 + -128. Let q(g) = 2*g**3 + 4*g**2 - 4*g + 2. Let v be q(o). Suppose -4*r + 100 = v*c, 0*c - 3*c + 2*r = -60. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -20. Suppose 3*m + 3*g = 9, 5*m - g + p = -3. Let h be 3 + -1 - m\/(-1). Calculate the highest common factor of h and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 13510079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11052619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v + 9. Let t(y) = -2*y + 9. Calculate 6*m(n) - 5*t(n).\nAnswer: -2*n + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y - 3*y - 3*c - 198, 5*y + 3*c = 261. Let s be (104\/(-12))\/((-4)\/30). Suppose 9*n - s = 4*n. What is the remainder when y is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -340125 + -415?\nAnswer: -340543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**2. Suppose 0*a - 7 = a. Let f = 9 + a. Let h(u) = -4*u**2 + 4*u**2 - u**f. Determine h(l(p)).\nAnswer: -9*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, -9, 4, 5, 2, -95.\nAnswer: -95, -49, -9, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one thirds of a century in months?\nAnswer: 28400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-7) - 2820\/(-21). Let f = -4\/87 - -6905\/696. Find the common denominator of z*((-30)\/32 + 1) and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 0) + 16 + (43 - 21) + 13.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044 a factor of 80021556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 676672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 10. Let p = 18.1 - s. Let w = p - -2. What is the closest to 0 in 3\/2, w, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (6 - (-75)\/6)*28?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 6891?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 387 and 30.\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-108))\/((-5)\/60)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -42 or -3.883204?\nAnswer: -3.883204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-14) + (-94)\/14. Let m = -12 - w. Let o = -0.05 + 0.15. Which is the closest to -0.1? (a) -1\/8 (b) m (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.9 - 3.9. What is the nearest to -0.3 in 1\/10, u, 1\/8?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -5, -3, -7\/9?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 27. Suppose -4*g**2 + g + 0 + t - 9*g - 7 = 0. What is g?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuhwhuh. What is prob of picking 1 w and 1 h?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/23 in 0, 3, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -125*x - 178. Calculate a(12).\nAnswer: -1678","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u. Let n(m) be the first derivative of -3*m**2 - 13. Calculate n(x(o)).\nAnswer: -30*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.41 > -56979?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 5 - 25 - (-33 + 102 - 5)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*o + 31 - 31. Let m be (-1)\/(-1)*(-6)\/(-2). Suppose 2*w = -r + 106, m*r + o*w - 288 = 4*w. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((19*i - 14*i + 15*i)*(2*i - 2*i - 2*i) + 2*i**2 - 4*i**2 - 3*i**2)*(i**2 - 4*i + 4*i).\nAnswer: -45*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 440182?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 2*n - 3. Let s be z(-4). Suppose -s*m + 7 + 8 = 0. What is the units digit of (-45)\/(-30)*44\/m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*t = 3363 - 63 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111908 to the power of 1\/2, to the nearest integer?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 53.4531486?\nAnswer: -53.1531486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 439*h - 27308. Calculate i(63).\nAnswer: 349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177852\/9 - (-9)\/(-297)*11.\nAnswer: 3, 7, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84679300 rounded to the nearest one million?\nAnswer: -85000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1840343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2026 bigger than 2026?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24835 is divided by 35?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3920*h**3*s + 8*h**3 - 27567*h - 2*s**2 with respect to s.\nAnswer: -3920*h**3 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002294 rounded to six dps?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2 = -1. Suppose 3*z = x*f + 12, 0*z = -z - 3*f - 12. Let u be -4*(z - 4\/4). Solve -3*d - u = a - 0, -3*d = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3858935577?\nAnswer: 3, 7, 97, 971, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuwwmww. Give prob of sequence umw.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -3, -10, 3, 4, 3034 in increasing order.\nAnswer: -10, -3, 3, 4, 14, 3034","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5371*a**3 + 205*a**2 - 205*a - 205. Let d(z) = -79*z**3 - 3*z**2 + 3*z + 3. What is -205*d(g) - 3*u(g)?\nAnswer: 82*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*b - 5*x + 3, 0 = x. Let r be -1 + 0 - (b + -5). Suppose r*y = -18 + 78. Solve 0*m = 3*k - 5*m - y, -5*k + 2*m = -27 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8074632 centuries to decades.\nAnswer: 8.074632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1109, -1107, -1109, -1115, -1125, -1139, -1157?\nAnswer: -1179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*v**3*w**3 - 20089*v**3*w + 746*v*w**5 + 2*w wrt w?\nAnswer: 54*v**3*w + 14920*v*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -17. Suppose 0 = 3*j - 14 + n. Solve -3*w = -9, -4*m - 2*w - j = -1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-94)\/282*7*-3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 2:22 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30761161, -30761158, -30761155, -30761152, -30761149?\nAnswer: -30761146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 3*q - 9, 0 = -2*q + 4*c + 6. Suppose q*f = 4*f - 3. Solve 5*m - 10 = 5*b, -4*b + 5*m - f = 10 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 406?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 + 11. Let n = -47.0008 - a. What is n rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/61076 and -101\/14?\nAnswer: 427532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3085 + 3097. Let o(v) be the third derivative of 1\/5*v**5 + 0*v**3 + 1\/12*v**4 + 0*v + 0 - w*v**2. Find the second derivative of o(c) wrt c.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56911 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -422 - -427. Put 176, 2, h in decreasing order.\nAnswer: 176, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, h: 1}. What is prob of picking 2 p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**3 + 48*v**2 + 87*v + 28. Let q(j) = -j**3 - 16*j**2 - 29*j - 9. Let f(h) = -8*q(h) - 3*s(h). Let z be f(-14). Solve -4*u = -14 + z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 3*g - 65 = 8*o, -3*o = 5*g + 40 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46549 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ph when two letters picked without replacement from hshhnhhhlphlhhhhll?\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 273380 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 21 = o + 3*u, -3*o + 2*u + 18 = 0. Suppose 0 = -o*r + 7 + 13. Solve -4*z - 5*q - 2 = 0, 2 - 12 = -r*q for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.7 - 2.8. Let n = 0.7 - 0.3. Let y be ((-4)\/(-20))\/(8\/(-30)). Which is the second biggest value? (a) n (b) q (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1232103 (base 5) to base 6\nAnswer: -303124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3483 (base 10) in base 3?\nAnswer: -11210000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 5\/7, 1\/13, 4, 29?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/40 of a second?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 13*k - 13. Let l(s) = 3. Give 4*l(c) + r(c).\nAnswer: 13*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, v: 1, y: 3, e: 12, g: 1}. Give prob of sequence vgy.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 2651371\nAnswer: -5\/2651371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.2, -0.2, 1, -16?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -282, -349, -416, -483, -550?\nAnswer: -617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12\/13 (b) 0.42 (c) -128\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 702\/5 - 140. Suppose -3*v - 2*v + 3*v = 0. Which is the closest to h? (a) v (b) 0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-4\/15))**(2\/15)\/(s**(-1\/8)*s**(2\/3)) assuming s is positive.\nAnswer: s**(-799\/1800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11024 and 12932.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 201 + 36 = 0. Suppose -w = -4*f - 7*f. What is the greatest common factor of 15 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00012 to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -214710000 rounded to the nearest 1000000?\nAnswer: -215000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*t - 183*t = -1355 - 109 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 2*z - 1. Let n = 4 - 0. Suppose 3*i + 3 = n*i. Calculate the lowest common multiple of a(i) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-4)*27\/((-2430)\/12). Let f = 0 - -1. Which is the nearest to f? (a) 5 (b) h (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q - 9*q = 64. Let u = 103 - q. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*d + 3*d + 0*d)*(-19 + 73 + 6) + 0*d + 4*d - 5*d + 2)*(41*d - 175 + 175).\nAnswer: -2501*d**2 + 82*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/9? (a) -3\/7 (b) 1\/8 (c) 4\/5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108496872 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 + 27*c**2 + 14*c**2 - 42*c**2 as o*c**2 + u*c + k and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2578.946 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4 - 675*g**3 - 3429*g**2 - 4821*g - 2070.\nAnswer: 3*(g - 230)*(g + 1)**2*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4\/3 - 8*j**3 - 44*j**2\/3 + 56*j - 98\/3.\nAnswer: -2*(j - 1)**2*(j + 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2302552 - -15231?\nAnswer: 2322223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2098?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 201\/12 + (-9 - 74\/(-8)) and 5\/59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/7 and 81\/352?\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -4 (b) -5 (c) 16\/7 (d) -3\/2 (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1160 is divided by 164?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2)*2\/(-1). Let n(x) = -3*x + 2 - q + 0*x + x**2 + 2. Give n(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*u + 11*u. Suppose u*s - 3*s + 489 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.11 + 0.69. Is 2 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s - 24. Let q(i) = 21 - 40 + 31. Let u(m) = -9*q(m) - 4*x(m). Let j be u(4). Solve -6*v - j = -4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3448337 and 309?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 + -0.5916. Round q to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(4\/3))*a**(-3\/5)*a)\/(a**0)**(2\/3) assuming a is positive.\nAnswer: a**(-14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r\/r**(-3\/10))*(r*r**23)\/r assuming r is positive.\nAnswer: r**(227\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.075, -0.5, -15 in descending order.\nAnswer: -0.075, -0.5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*(z\/z**(2\/15))\/z*z))\/z**16*((z*z**(-16))\/z)\/(z**(2\/37)\/z))**(-5\/4) assuming z is positive.\nAnswer: z**(4429\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1984 and 77248?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/2893 + -66439\/144650. Calculate the common denominator of b and 81\/10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-698*m - 678*m + 1619*m)*(-2*m + 0*m + 0*m + (-4*m - 3*m + 5*m)*(-3 + 3 + 1)) to the form z + u*m + r*m**2 and give r.\nAnswer: -972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2382 (base 13) in base 16?\nAnswer: -138f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -51? (a) -1\/3 (b) -1 (c) -10 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.7 - -4.9. Let s = i - 4.8. Let d = -3 + -2. What is the biggest value in s, -2, d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6*5873\/42 - 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v - u - 4, -v = 2*u - 1811 + 1809 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5*(-1 + 9\/(-3)). Suppose 0 = 2*j + z - d, -4*j - 36 = -5*z - 90. Calculate the remainder when 31 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**2 + 0*n**2 + n**3 - 378 - 7*n**4 + 376 to o*n + p*n**4 + m*n**3 + y + k*n**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2754778.05 to the nearest 10000.\nAnswer: -2750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 6*c**2 - 2*c + 4. Let z be (12\/(-10))\/((-15)\/50). List the prime factors of n(z).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1172 + 1171.9. Which is the closest to -2\/3? (a) -2\/7 (b) -0.9 (c) x (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.85 + 0.15. Let z = x + -1. Let o = -278.08 + 280.08. Which is the third smallest value? (a) o (b) -1\/2 (c) 1\/7 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.11 - -16.01. Let k = j + -14. Sort 5, k, 0.\nAnswer: k, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -33858*o + 98158 wrt o?\nAnswer: -33858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/7003 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**3 - 17*a**2 - 49*a + 361. Give z(7).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 39463? (a) 1 (b) 0 (c) 5 (d) 12\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 12:15 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 27, -4 in decreasing order.\nAnswer: 27, 23, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 2*x - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**2\/9 + 16*s\/9 - 10\/3 = 0. What is s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -231, -233, -235?\n\"Answer: -2*x - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 247 times 0.1\nAnswer: 24.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86033 - 139856 - 32895 = -5692*b + 128272 for b.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 0.1, -1\/42, 3\/4, -0.3, 26?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19657, 20822, 22765, 25486, 28985?\nAnswer: 33262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 6*i - 15. What is n(8)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35 - 32 - (5 + -2)) + (-3 - -58)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-2) - (-69 + 61). Suppose -5*g + l*r = -112, 70 = 3*g + 10*r - 11*r. Solve 2*v - g = -4*m, 2*v + 0 - 19 = -3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -4*b + 16. What is w(-4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 471.22 + -468. Let h = 3.28 - w. Sort -4\/15, -3, h in descending order.\nAnswer: h, -4\/15, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 445964.2 kilograms?\nAnswer: 445964200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 472.94 + -514.94. What is the closest to g in 5, -1\/7, -0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -24*c**4 - 142*c**3 - 202*c**2 + 30*c + 18 = 0. What is c?\nAnswer: -3, -1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = -2*u - 210. Let f = 169 + u. Solve b + 2 = -f for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/5)*m**(-7))\/((m**(-12)*m)\/(m*m**(-1\/12)*m)) assuming m is positive.\nAnswer: m**(319\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-one fifths of a century?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -25*s**3\/6 + 3*s**2\/2 - 34*s. Let c be z(-8). Suppose -6*k - 217 = -7*k + 3*i, -4*i + c = k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 16 - 20 = 0. Let g(o) = o**2 - 9*o - 10. What are the prime factors of g(h)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 860053101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -73, -59, -39, -13?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 + 7423*t - 7423*t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**5\/2 + 53*g**4 - 2701*g**3\/2 - 2862*g**2 - 1458*g = 0. Calculate g.\nAnswer: -1, 0, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 7*p - 35. Suppose -351*x + 7568 = -307*x. Calculate the remainder when x is divided by n(10).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*o - 6*o + 14*o)*((5 - 5 - o)*(2*o + 3*o - o) + 2*o**2 + 6*o - 4*o + 3*o).\nAnswer: -60*o**3 + 150*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 16*f**2 - 15*f + 3. Suppose -6*b = -2*b - 60. Let k be u(b). Let o be 17\/3 + (-8)\/12. Solve -3*w + 2*r - 4*r = -o, -2*r = w - k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 8*u**2 - 11*u - 8. Let m be n(-9). Let w(d) = d**3 + 12 + 0*d**3 + d + 8*d - m*d**2. Let s be w(9). Solve 0 = -5*h + h + s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*o**5 + 2*o**5 + 8*o**2 + 6*o**4 - 6*o**4 wrt o.\nAnswer: -180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 98 + 23. Let p = f + -5. Let d = -1\/10 - -1\/2. Is d less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.8323 (b) 0.2 (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c - 7. Let u be o(-6). Suppose -2*a + 4 = 2*s, 4*a - 6*s + 7*s = u. What is the third smallest value in 13, 4, a?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 1 = -3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -1\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300913.135 rounded to the nearest one hundred?\nAnswer: 1300900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -207 - 68. What is the remainder when y is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 1971*k - 1969*k + 3 - 4. Let x(s) = 6*s - 5. Let h(c) = -5*c + 4. Let t(w) = -4*h(w) - 3*x(w). Suppose -4*l - 12 = -36. Determine l*t(g) - 7*d(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 43.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -447*s + 7828. List the prime factors of l(17).\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.399991 kilometers in millimeters?\nAnswer: 5399991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1694 + -1692. Solve 6 = -4*v - o, 4*v + d*o + 4 = -0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, v: 8, k: 3, w: 4}. What is prob of sequence ka?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14847 = -50*z - 15097 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 3*j + 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 12 = 2*c + 2*c, 0 = 4*c + 2*l + 12. Which is smaller: 1\/16 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 0 + 0)*(-7*h + 3*h**2 + 7*h) - 10*h**3 + 10*h**3 + 13*h**3 + (-h**2 + 1 - 1)*(4 + 2*h - 4).\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -37212?\nAnswer: -74424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 7 = 9. Suppose -2*r = 3*r - 25. Suppose 2*z - 98 = -r*a - h*z, 2*z + 116 = 5*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -261187 and 0.1?\nAnswer: -26118.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 10. Let c be o(11). Suppose -6709 = c*g - 31867. What are the prime factors of g?\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 0 - 1\/120*r**6 + 5*r**2 + 17\/24*r**4 + 7\/30*r**5 + 3\/2*r**3 + 0*r. Is 39 a factor of q(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -59755\nAnswer: -7\/59755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 24709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -19241?\nAnswer: 19245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 571 - 569. Suppose 83 - 77 = w*g. Let k(j) = -3*j + 1. Determine k(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(27)\/(sqrt(18)\/sqrt(2) + sqrt(9))*-2.\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -106785, -213570, -320355?\n\"Answer: -106785*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 171*t + 104. Let h(l) = -2*l - 88. What is k(h(f))?\nAnswer: -342*f - 14944","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 7 = 2*y, -3*y + 8 = 2*y + 2*r. Let o be (y - (-25)\/(-10))*(1 - 9). Find the second derivative of -39*p**5 - o*p - 328*p**4 + 328*p**4 wrt p.\nAnswer: -780*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 603 and -766 + 770 - (-399 + (-2)\/(-2)).\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 15*v + 172. Let j be w(8). Suppose -2*o = -23 - 51. Let n = j + o. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/7 + (3 - -1) + 0.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z + 110 = -3*z. Suppose 2*a = 6, -3*s - 4*a - z = -28. Solve 0 = 5*x + s*j + 19, 0 = 3*x + 2*j + 3 + 6 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2581 - 1345. Let s = y + -1235.3. Let d be 1\/1*(-6)\/4. What is the third biggest value in s, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fz when two letters picked without replacement from {z: 1, w: 3, f: 5}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36586083.\nAnswer: 3, 12195361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/105)\/(6\/150*5).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*o**3*t + 15*o**3 - 9*o**2 - 378*o*t + 4 with respect to t.\nAnswer: 12*o**3 - 378*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 123970696 a multiple of 898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/14)\/(24\/392)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-62)\/(-279) - (-11)\/(-9). Let t be ((-6)\/5)\/(w\/((-325)\/(-5))). Calculate the highest common factor of t and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -75*p + 7. Calculate o(-13).\nAnswer: 982","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 3:55 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -2 (c) 141 (d) 3 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3318, -4930, -6542, -8154?\nAnswer: -9766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**3\/7 - 82*h**2\/7 + 2944*h\/7 = 0.\nAnswer: -64, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-1 - (2 - -3) - -7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 31. Let h = 9 + z. Solve -m + 2*r - 3 = h, 4*m - 4*r = -0*m - 16 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1278)\/(-1988))\/((12\/(-7))\/2)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -2b?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 9. Is (16\/(-24))\/(z\/(-795)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n + 3*n**2 - 3*n + 3*n**2 - 8*n**2 + 0*n**2 + (n + 0*n - 2*n)*(18 - 28 - 53)*(0*n - n - n).\nAnswer: -128*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 178378 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 10*v**2 + 5*v + 4. Let a be d(-2). List the prime factors of (-6 - -4)\/((-4)\/a).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8*(-40)\/128*1*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(5\/(-2625)*-3) + 2 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -5 (b) -2\/3 (c) -61 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1859041 (base 11) to base 5\nAnswer: 1301121243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = -9 + 16. Suppose 4*s - 2492000 = -s. Let u be (s\/42)\/((-2)\/(-150)*n). What is u rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-14 - -27 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29.6 - 30. Let n = 0.15 + -0.35. What is the second biggest value in c, n, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 at least -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 804083048 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -73*t**3 - 229666 + 227147 + 1776*t**3 wrt t.\nAnswer: 5109*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-10 - -3) - -6 - 7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.5, -8\/9, -24, -0.17, 0.4 in increasing order.\nAnswer: -24, -5, -8\/9, -0.17, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/24)\/((-231)\/(-28) + -8). Let u = -1 + 1. Which is the nearest to 6? (a) u (b) -0.2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fljsg. What is prob of sequence gjs?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 17. Suppose -x*r + 5549982 = -6*r. Suppose -5*a + r = 3*i, -204110 = -a - 5*i + 165880. Round a to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -27*c - 7. Let o(w) = 26*w + 6. Calculate 4*h(i) + 5*o(i).\nAnswer: 22*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182116797 is divided by 81557.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -117846\/11 or -10712?\nAnswer: -117846\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 d when four letters picked without replacement from {d: 3, c: 2, l: 3, g: 8}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25790\/(-9)*657\/(-146) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 556.7 + -557. Let d = 0.04 + -5.04. Let v be (-5)\/5 + 1 + 2. Which is the nearest to 0? (a) v (b) d (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**3 + 2*s**2 - 2*s - 1. Let d be 14\/(-42) + (-52)\/(-3). Let k = -19 + d. Calculate i(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 163, 2 in ascending order.\nAnswer: -3, 1, 2, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 7*f**7\/2 + 77*f**6\/10 + 24*f**5\/5 + f**4 - 5*f. Let j(y) = 0. What is y?\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 106, 76, 26, -44, -134?\n\"Answer: -10*p**2 + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 - 1611*l**2 - 215454*l - 213840.\nAnswer: 3*(l - 648)*(l + 1)*(l + 110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 45424.61408.\nAnswer: 45424.11408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -10 + 3*q**3 + 0*q**3 + 6*q**2 - 10*q - 2*q**3. Suppose -5*h + 0*o - o = -161, o = -h + 33. Calculate the remainder when h is divided by p(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 19, 42\/5, 20, 147?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.045 + -61.045. Let r = b - -14. Let d = 49 + r. Put 3, -3, d in decreasing order.\nAnswer: 3, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17357 + 29962 = 5*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/8*((-24)\/10)\/(-3)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 8*x - 11. Let b be h(9). Let q be (11 - (-49503)\/(-4495))\/(6\/20*2). Put 2, q, -3, b in descending order.\nAnswer: 2, q, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/4 - 53*t + 1968.\nAnswer: (t - 164)*(t - 48)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5c158 (base 14) to base 10\nAnswer: 225282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, 5, -0.04, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -57 (b) -1\/3 (c) 2\/7 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 1352531120?\nAnswer: -1352531115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.40275 + 0.4. What is k rounded to 4 decimal places?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133628, -133639, -133650?\nAnswer: -133661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -5138?\nAnswer: 5138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + 0.8. Let q = 1.5 + -2. Put -2\/9, l, q in descending order.\nAnswer: l, -2\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 291 - 307. Find the common denominator of 107\/70 and (-65)\/504 + y\/(-144).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 196739551 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 467286?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1180369*b + 2360576*b - 1180213*b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3505 (base 9) to base 2\nAnswer: -101000100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-160)\/280)\/(4\/(-106498)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 263 + -262. Is t at most as big as -210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-23 - -23 - 6) + -24?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**3 + 0*o**3 + 0*o**3)*(2 - 2*o - 2) + 4 + 7*o**4 - 4.\nAnswer: 9*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 285648 divided by 528.\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5*sqrt(1872)*2)**2.\nAnswer: -240*sqrt(13) + 187201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 82, 183, 324, 505?\nAnswer: 726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 0*m**3 + 0*m**4 + 0*m - 13*m**2 - 1 + 34\/5*m**5. What is the second derivative of z(f) wrt f?\nAnswer: 408*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 222 - 228 - (-1 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147834050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2854348?\nAnswer: 2, 7, 14563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 1 = 7*q. Let m(a) = -a - 3. Let f(u) = -u - 1. Determine q*f(r) + m(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10 - 11) + 4*1. Suppose -g - 2*k + 13 = 0, o*k - 10 = 5. Solve -2*c + 4*m - 4 = -c, 3*m = g for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 3*j + 12 = 0, 0*c - c + j + 6 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**5\/15 - 2*m**4\/3 - 4*m**3\/5.\nAnswer: -2*m**3*(m + 2)*(m + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6.562791978 and 12?\nAnswer: 5.437208022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**2 + k**2 + 2*k**2)*(k + 0 + 0) - 5*k**3 + 108*k - 108*k + 9 to c*k**2 + p + q*k**3 + x*k and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -190, -123, -30, 101, 282?\nAnswer: 525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 200669 to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97929*v - 3*v**2 + 97929*v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -57415, -58099, -58783, -59467, -60151?\n\"Answer: -684*i - 56731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0638 to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 9*y - 48709. Calculate t(-216).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -1614, 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 0*k**2 - 4*k**2 + 3*k**2. Let u(y) = 2*y + 3. Let r(m) = -2*m - 2. Let h(d) = -3*r(d) - 2*u(d). Give h(t(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 5:34 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1524065 - 0?\nAnswer: -1524065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 4 = -2*p. Suppose -19 = -p*l - 7. Solve -o + 6 = -0*j + 3*j, 0 = 5*j + l*o - 14 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86 + (18 - -2) + 10 + -37.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (134*y + 140*y - 264*y - 2*y**2)*(0 - 2*y**2 + 0) + 5*y**4 + 0*y**4 + 5*y**4 - 4*y**4 + 3*y**4 + 0*y**4.\nAnswer: 13*y**4 - 20*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4)*((-97)\/31 - -3)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 7*r**3 + 2*r - 1. Let y be u(1). Let k(p) = y*p**3 - 7 + 1 + 4*p**2 + 8. Let m(x) = x**3 + x**2. What is -k(f) + 6*m(f)?\nAnswer: -2*f**3 + 2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 427 - 437. Let g = 1.05 + -0.05. What is the nearest to g in -1\/4, -1\/10, v?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 6*d - 5. Let y be i(-5). Let u be y\/25 + 24\/10. Suppose 40 = u*l + 3*l. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) - sqrt(612)*2) + 4 + -2)**2*-1.\nAnswer: -616 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - 10. Let b be (6\/(-8))\/(5\/a). Sort 5, b, 2 in increasing order.\nAnswer: b, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 + -18. Let f be (1 + 1)*15\/v. Calculate the least common multiple of 38\/f + 4\/10 and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*a - 18, 2*a - 14 = -a + 2*n. Factor -2*l**2 - 6*l - a + 6 + 4*l**2.\nAnswer: 2*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10704679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100322 (base 4) to base 16.\nAnswer: -43a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/13 and 89\/4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92951770.\nAnswer: 2, 5, 37, 251221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**5 - 2080*z**4 - 365875*z**3 - 1440490*z**2 - 1791700*z - 715000 = 0 for z.\nAnswer: -130, -2, -1, 550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t**4\/6 + t**3\/6 + t**2\/2 + 2*t. Let f be 2\/(-4)*(-4)\/(-2). Let p be ((-1)\/f)\/(3 + -4). What is r(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2\/15, -0.03 in descending order.\nAnswer: -0.03, -2\/15, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 73.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 0.9, 4, 113, 3 in decreasing order.\nAnswer: 113, 4, 3, 1, 0.9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 6 = -37*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1800070201.\nAnswer: 1800070201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 256\/(-320)*5\/(-18)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36855566?\nAnswer: 2, 11, 1049, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 13. Let v be l(-13). Suppose v = -3*i + q + 5, -4*q - 9 = i + q. Solve 5 - i = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008854 rounded to four decimal places?\nAnswer: 0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 1\/(-2)*-14. Let k(a) = a - 2. What are the prime factors of k(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -8384114 in increasing order.\nAnswer: -8384114, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + 11 + 13. Suppose s*b - 6*b = 20. Let q = b + 56. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 8, z: 5}. What is prob of sequence zkk?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2566394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*o*v**4 + 293233*o*v**2 - 71*v**4 + 3*v**3 wrt v?\nAnswer: -696*o*v - 1704*v + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmsy when four letters picked without replacement from vmvmuassyymyyymmymaa?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -7*y**2 - 27*y + 3. Let u(x) = 3*x**2 + 13*x - 1. Let o(j) = -5*u(j) - 2*v(j). Let g = 9 + -20. Let z be o(g). Sort z, 3, 2 in increasing order.\nAnswer: z, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 33*r. Let o(n) be the first derivative of -5*n**3\/3 - 2178. Determine o(w(q)).\nAnswer: -5445*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((858\/55)\/13).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 924990300 a multiple of 6570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -3 (b) 3 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000687785 rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 3*a**3 - 69*a**2\/2 - 57*a - 39\/2 = 0.\nAnswer: -1, -1\/2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 9 = 2*a - 2*p, 0 = 5*a - 4*p - 42. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12\/13, 0.152, -0.2, 1\/3 in decreasing order.\nAnswer: 1\/3, 0.152, -0.2, -12\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/10 + 23\/30. Let t be ((-4)\/(4\/(-5)))\/(-1). Let s = t + 5. Which is the closest to 1? (a) l (b) -0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 15) to base 6.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 52154494?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/229137 and 20\/753.\nAnswer: 57513387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*m - 182. Let k = 133 - m. Calculate the common denominator of 13\/14 and (-201)\/k - 4\/(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 464 and 5336?\nAnswer: 10672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -w + 60. What are the prime factors of (44\/w)\/(2\/(-10))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 339.113008 to 1 decimal place.\nAnswer: 339.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t + 1. Let f(n) = 4*n + 7. Determine -5*c(d) + f(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-18)\/2 + (-1884410)\/69450.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w - 38*j + 37*j - 17, 4*w = -3*j - 31 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*s + 184 - 23. Let h(l) = 2*l**3 + 19*l**2 + 12*l + 21. Is h(s) a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8360 and 406505.\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.194749 plus 2.54?\nAnswer: 2.345251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**2 - 401469*g - 1204416 = 0. What is g?\nAnswer: -3, 401472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -1. Suppose 5*l + c*t = 81, -41 = -3*l - 2*t + 4*t. Calculate the remainder when 29 is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 66237948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/162 and 67\/31410?\nAnswer: 282690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -2*k**3\/3 - 7*k**2\/2 - 7*k - 15959. Let w(s) = s**2 + 2*s + 2. Let b be 1*(-5)\/(-1) - -2. What is b*w(p) + 2*v(p)?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 71 - (-874 - -714)\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 0*y - 8 = 2*y, -12 = 3*k + 3*y for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 7:52 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54 - -38) + 7 + 35 + -2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3960 and 2695?\nAnswer: 194040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -208 + 207.644. Let w = 0.044 - j. Which is the second biggest value? (a) -0.3 (b) 0 (c) w (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 457, 924, 1387, 1846, 2301?\nAnswer: 2752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54 + 57. Solve i*h + h = 8, k - 1 = h for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82124 to the power of 1\/2, to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 15, q: 4}. Give prob of sequence qx.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*n + 0*n + 4*n)*(-3 + 4 + 0) - 2 + n + 2 + (-2 + 2 + 1)*(4*n - 5*n + 0*n))*(-3 + 3 - 1).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8\/37 + -98\/111. What is the nearest to 0 in 0.3, 0.028, k?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 8 = 3*r, -3*s - 3 = -5*r - 11 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 4*b = 12, 309 = 6*j - j + 4*b + 321 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 + 61. What is the lowest common multiple of 16 and (-678)\/81*-6 + z\/(-81)?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a - 4. Let q be b(3). Suppose 3*x - q*h - 13 = 7, -2*x = 2*h - 10. Calculate the remainder when x is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*64\/1200*-5*4\/16.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 14. What is the third biggest value in o, -0.2, -0.04?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 - 0)\/(8\/16). Suppose 6*b - b = t. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8 + (-723)\/(-9) + 2\/(-15). Factor 76\/5*p - 4\/5 - w*p**2.\nAnswer: -(19*p - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 8\/5, -11, 4, -2\/147, 2, 1\/4 in increasing order.\nAnswer: -11, -2\/147, 1\/4, 1, 8\/5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/327081 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -37, -35, -31, -25?\n\"Answer: r**2 - r - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -4 (b) 1\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39960 by -7992.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 532985, 533080, 533171, 533258, 533341, 533420?\nAnswer: 533495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27166023*s**6 - 734*s**2 - 3*s + 1808 wrt s?\nAnswer: 3259922760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 12 = 5*n - 0*b, 2*n - 4*b = 0. Let y be (-18)\/(-7) + (100\/(-28) - n). Let h(j) = j**2 - 3*j + 2. What is h(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -21)\/((-2 - 262)\/12).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**5\/5 - 36*n**4 + 1282*n**3\/5 + 150368*n**2\/5 - 611256*n\/5 + 122720 = 0.\nAnswer: -25, 2, 52, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 41458052101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -44 + 1107?\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9408\/(-1260))\/((-35)\/150).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19\/312528 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20.258 - 19.558. Let u = 3.8 + 0.2. Sort o, -2, u, -1 in decreasing order.\nAnswer: u, o, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -10*g + 9*g - 13, 2*p + 3*g + 19 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1407 - -1417. Solve v*l - 15*l + 20 = 0, -4*x - 4*l + 24 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*g = 32*g - 4*m + 8, g - 10 = 5*m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8349?\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 77619 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5\/4 - 3\/4. Let c be (3\/(-45))\/(3\/(-18)). What is the closest to 1 in c, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k - 8. Let w(g) = -4 + 3 - 2 + 2*g. Let v(y) = -8*w(y) + 3*x(y). Let j(i) = 10*i. What is j(v(r))?\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 5, 0, -7, -16, -27, -40?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**4\/8 + 6*r**2. Let i(n) = -6*n + n + 2*n - 6*n. Give i(b(u)).\nAnswer: 27*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71585 is divided by 471.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.21 in -0.36, -0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -15*b**3 + 8*b**2 + 23*b - 9. Is h(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 67791*j + 246. Let t be o(-6). Round t to the nearest 10000.\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9386111 (base 11) to base 7.\nAnswer: -260456604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 4. What is the common denominator of ((-14)\/(-72))\/(x\/4) and -61\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*d - 30 = 6, 4*k - 2*d = 12. Let v = 23 - 60. Let u = 56 + v. Solve -4*h - 5 = 7, -2*c + k*h = -u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 4*i - 14, 2*c + i = 6*i - 29. What is the common denominator of c + -3 + (-134)\/(-4) and -97\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(6\/5)*r**(-7\/4)*r)**(5\/6) assuming r is positive.\nAnswer: r**(-19\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-1))\/z)\/(z*z\/((z\/z**9)\/z)))\/((z*z*z**5)\/z**(-9)) assuming z is positive.\nAnswer: z**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 0*n**3 - 4*n**3 + 2*n**3 + (-4*n**3 + n**3 + 2*n**3)*(4 - 4 - 2) - 3*n**3 + 0*n**3 + 5*n**3.\nAnswer: 2*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 331528 and 1160.\nAnswer: 1657640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*h = -379*h + 3597426. What are the prime factors of h?\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 16 + 28. Let o = 15 + z. Solve o*s + 5 = -3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 7:55 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 + 156 = 12*n. Let i(r) = -r**2 + 11*r - 36. What is i(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -352, -353, -354, -355, -356?\nAnswer: -357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**5\/5 - 56*x**4\/5 + 529*x**3\/5 + 7114*x**2\/5 + 16768*x\/5 + 2048 = 0.\nAnswer: -5, -2, -1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19704 = v + 4*w + 5910, w = -2*v + 27581. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 145*n**2 + 10516*n*o - 8207814*o wrt n.\nAnswer: 290*n + 10516*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2007750268?\nAnswer: 2, 501937567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 384255146?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69309 + 138657 - 69349 + 361*o**3.\nAnswer: 361*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/21 and -31\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 6*g = -12. Suppose 5*m - 5 = t + 2, m + 3*t = -5. What is the greatest common divisor of m and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (-1 + -1 + (-13 - 108)). Suppose -v = -3*d - 3*d. Calculate the remainder when 81 is divided by d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 14445042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*g = 25*g - 125. Let i be 6\/15*g\/80. Which is the second smallest value? (a) i (b) -0.06 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*u = 21789 - 20349 for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-23\/5)*h*h\/(h\/(h\/((h*h*h**(7\/8)\/h)\/h)))*h*h*h**(10\/3)*(h*h\/(h**(-4)*h))\/h)**36 assuming h is positive.\nAnswer: h**(5781\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 4 (c) 2 (d) 5 (e) -0.5 (f) -827.7449\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*k + 7 = 21, -4*l + 4 = 3*k. Let d be l\/3 + 83967\/(-99). Let z = d + 850. Calculate the common denominator of -53\/3 and z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/5 + 208926*c**2 - 96093264*c\/5 + 2210047736\/5.\nAnswer: -2*(c - 522223)*(c - 46)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 10, v: 2, n: 1, t: 3}. Give prob of picking 1 v and 2 a.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 4*m - 25. Let t be (-10)\/12 + 2\/(-12) + 9. Calculate the least common multiple of f(t) and 15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 8 + 2 - 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*x**4 + 153507*x**3 - 10761682*x**2?\nAnswer: 312*x + 921042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30789 is divided by 15372.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2594, -10464, -23774, -42680, -67338, -97904, -134534?\n\"Answer: -26*z**3 - 2564*z**2 + 4*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*f + 4*b = 108*f + 24, 2*b + 16 = -2*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -3\/223, -5, -1?\nAnswer: -3\/223","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -266a51 (base 12) to base 2.\nAnswer: -10011010110001011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20412 to the power of 1\/2, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqsrqqe. What is prob of picking 2 q?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 585*h - 262*h + 293*h.\nAnswer: 616*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2568 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17.7 + -17.5. Sort 1\/35, 5, n.\nAnswer: 1\/35, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 293, 626, 1093, 1694, 2429?\nAnswer: 3298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 + 85. Let d = 42 - j. What is the closest to -1\/3 in d, -1\/2, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1125.9*1.2\nAnswer: -1351.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2543*m + 0 + 465*m - 1.\nAnswer: 3008*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 2*d)*(2 + 2 - 6) - 5283*d + 59 + 85*d - 4624*d - 59 as c + n*d and give n.\nAnswer: -9826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 3. Let w be u(7). Let s(f) = -f**3 - 4*f**2 - f - 4. Let g be s(w). Find the second derivative of g*o**2 + 4*o**2 - o**2 - 2*o wrt o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 619*m**3 - 8605*m**2 + 15705269*m wrt m?\nAnswer: 3714*m - 17210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 2*c + 27*t - 96 = 31*t, 0 = -4*c + 21*t + 521 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-72)\/9)*12\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -18, 14, 80, 192, 362, 602?\n\"Answer: 2*b**3 + 5*b**2 + 3*b - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 1 + 3 = -4*s, 3 = -d + 4*s. Solve 0 = -0*h - d*h + 3*m + 22, 4*m = -3*h - 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 5:50 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 128509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4134*r - 2 + 2 + 4624*r in the form i + h*r and give h.\nAnswer: 490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3914 is divided by 1957?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -3*k**3 - 24 - 3*k**2 + 3\/4*k**4 - 12*k. What are the prime factors of t(6)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 153676953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114.8014 millilitres to litres.\nAnswer: 0.1148014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of v**7\/70 + v**5\/15 + v**2 + 2. Let d(x) be the second derivative of s(x). What is the third derivative of d(l) wrt l?\nAnswer: 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 27\/(-9)*(4\/54 - 155121\/81)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.1078 from -1761.\nAnswer: -1762.1078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - 0.7. Put -2, r, 4 in decreasing order.\nAnswer: 4, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -9 + 948\/108 + 544\/18. Let h = 9 - -6. What is the highest common divisor of h and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406 is divided by 227.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*f + 14*f + 333 = 0. Let z be 5\/(-48)*(33 - f). Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (161\/(-1610))\/(((-6)\/((-6)\/3))\/(-4))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-146)\/204 - (8528\/(-96) - -88)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 - 1)*(l + 2*l - 5*l) + 0*l - l + 3*l + 4*l - l - 4*l + (-l + 2*l - 3*l)*(-3 + 4 - 3) + 3*l + 4*l - 5*l)*(-3 + 4 + 1).\nAnswer: 22*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 k, and 1 e when four letters picked without replacement from {e: 4, m: 2, x: 3, k: 1, v: 2, q: 2}.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-7 + -1 - -15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -161.2864 + 0.1764. Let q = l + 160. Let o = q - -0.11. Put 5, -1\/2, o in decreasing order.\nAnswer: 5, -1\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380 = 2*y + 3*y. Suppose -5*a + 69 = -y. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80998 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 82*q - 77*q - 115. Which is smaller: q or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -3\/5 (c) 0.09625\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 2) in base 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 820 = -4*y, -l + 395 = -3*y + 5*y. Suppose 5*w - 125 = -0*w. What is the highest common divisor of w and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.85946 and -0.10963.\nAnswer: 1.74983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2. Let t(l) be the first derivative of -18 + l**3 + 2*l**3 + 46 + 28. Calculate c(t(r)).\nAnswer: -81*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t - 68. Let u be a(-35). Put -202, u, 4 in increasing order.\nAnswer: -202, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/sqrt(28) + -1 + 1 + ((sqrt(13) + 0 + sqrt(13))*-2 + sqrt(13) - (-1*sqrt(117) - sqrt(13)))*6.\nAnswer: 13*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 9:35 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.224687 to three dps.\nAnswer: 1.225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -b3886 (base 16) in base 11?\nAnswer: -462545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 206 + 86. Let y = -64 + p. Calculate the highest common factor of 27 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**9*t))\/t)**(-15)\/((t*t*t**7)\/t**(1\/18)))**(-30) assuming t is positive.\nAnswer: t**(-12695\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4360, -7544, -10702, -13822, -16892, -19900, -22834?\nAnswer: -25682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6873 + 6895. Let x(w) = w + 1. Let u(f) = -4*f**2 - 11*f - 11. Calculate q*x(y) + 2*u(y).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**2 + 11*j - 44. Let x be c(5). Find the common denominator of -7\/36 and ((-87)\/x)\/(2 - 36\/16).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 60*a + 7. Does 56 divide p(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 6*k + 22. Calculate s(9).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.2, -2.33, -7, 7\/4 in ascending order.\nAnswer: -7, -3, -2.33, -0.2, 7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + f = -2*t + 72, -4*t - 3*f = -144. Suppose -t = -2*p + 4*p. Let c be (-115)\/(-2) - 9\/p. Round c to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -532660 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, d: 10}. What is prob of sequence dwd?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 27.5772321 and 30.\nAnswer: 57.5772321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4942)\/(-2) - (-77 - -78). Let p = n + -1311. What are the prime factors of p?\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 465, 2.33, 0?\nAnswer: 2.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -467?\nAnswer: -3\/467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((((o**(-9)\/o*o)\/o*o)\/o)\/o*o))\/(o*o**2) assuming o is positive.\nAnswer: o**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 802 and 14.\nAnswer: 5614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of y**4\/3 + y**3 + y**2\/2 - 7*y. Let v(f) be the first derivative of a(f). What is the derivative of v(x) wrt x?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -6*x + 15. Let t be z(-16). What is the greatest common factor of 3 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*7*1\/147?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-1 - 0)*52. Let v = w - 50. Let x be 6 - (v\/(-4))\/((-1)\/2). Solve x*i - 2*i = -12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 c when two letters picked without replacement from {q: 1, c: 1, i: 3, r: 6, o: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2304) - sqrt(2304))\/(sqrt(392)*1))**2 - sqrt(192)\/((sqrt(486) - sqrt(486)*3) + sqrt(486) + sqrt(6)).\nAnswer: sqrt(2)\/2 + 288\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x + 12*x + 16 = -a, -39*a = -35*a + 12*x - 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23210011 (base 4) in base 9?\nAnswer: 71867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -13*i - 29. Let z(r) = 6*r + 14. Let q(c) = 4*s(c) + 9*z(c). Give q(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4 = -56. What is the greatest common factor of 50 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 187022490 and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 811 - 3?\nAnswer: 80b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1))\/(7*(-4)\/(-7)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of 13*j**3\/6 + 6*j. Let t(u) = 2*u. Give t(m(v)).\nAnswer: 26*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1104.996 millilitres in litres?\nAnswer: 1.104996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 9\/166?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -6*g. Let y(q) = 4*q + 16. Let i(v) = -5*v - 13. Let a(z) = -z - 2. Let j(f) = -4*a(f) + i(f). Let w(d) = -16*j(d) - 5*y(d). What is h(w(m))?\nAnswer: 24*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -15*y**2 - 20*y + 3. Let j be m(3). Let r = 195 + j. Let i(k) = k**2 - k + 4. Let g(x) = -x - 1. Let a(w) = 5*g(w) + i(w). Calculate a(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/20655 and 94\/765?\nAnswer: 20655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + x + 1. Let y(z) = -3*z**2 + 4*z + 1. Let t(o) = -6*s(o) + 3*y(o). Factor t(u).\nAnswer: -3*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47\/40881 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*g = -2504 + 1824 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 - 184580*v**2 - 2398905*v - 7749630.\nAnswer: -5*(v + 6)*(v + 7)*(v + 36903)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a9 - 4b8?\nAnswer: -10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 0 + 3 + 189*o - 1 - 123*o. Is 35 a factor of m(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5576 is divided by 2749.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 4*s**2 - 2*s**2)*(-s - 3*s + 2*s) - s**3 - 6*s**3 - 2*s**3.\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 20 = -m, 4*o + 436*m - 432*m - 16 = 0. Let k = -47\/2 - -24. Sort k, o, 0.1 in increasing order.\nAnswer: 0.1, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -3*j - 330. What are the prime factors of j?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9\/10 of a microsecond?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(136))\/sqrt(4) + (sqrt(34) - sqrt(272)\/(sqrt(24)\/sqrt(3))))\/(-2*sqrt(6)\/sqrt(3)*2).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110101 (base 3) to base 2.\nAnswer: -110010110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -6. Suppose -2*z + 8 = 0, -x*m = 5*z + 222 + 58. Let a = -53 - m. Calculate the highest common divisor of a and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10200111201 (base 4) to base 6\nAnswer: -41151413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 71, 79, 89, 101?\n\"Answer: c**2 + 5*c + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t**5\/6 + 5*t**4\/24 - t**3\/3 + t**2 - 6. Let i(q) be the second derivative of g(q). List the prime factors of i(-3).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-771260098)\/(-35))\/(-7) + (-4)\/(-10). What is j rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -71?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8068*x**2 - 47*x**3 + 1914*x**3 - 6489*x**2 wrt x?\nAnswer: 11202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111670 divided by -4295?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 2. Let s = p - 2. Let x = 126 - 1011\/8. Which is the third smallest value? (a) x (b) s (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - 0.1. Let l = -28 + -4. Let i = -33 - l. Which is smaller: a or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 41 = -9*p + 4*p, -16 = -2*p - x. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29111417, 29111446, 29111475?\nAnswer: 29111504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = l - 0. Suppose -2*a + 17 - 3 = 0. Suppose -2*k = 0, x + l*k - a = 2. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/9, -4, -4\/5, 0.1, -28\/75?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(3\/6*4). Let a be (-2)\/(-11) + (832\/11)\/m. Is 703\/a - 3\/(-2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - 33) + (-13 - -10 - (-1 - 1) - 49).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 237 and 1264?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 8*m - 4. Suppose 5*q = -32 - 8. Let s be z(q). Let f = 0 - s. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5 + 1 + -3 + sqrt(1152)*-1)**2*-1.\nAnswer: -1163 + 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 293*f + 825. Let c(p) = -p - 6. Let i(r) = a(r) + c(r). Differentiate i(w) wrt w.\nAnswer: 292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -250 divided by -3\nAnswer: 250\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*n - 9*n + 0 - 3 + 4.\nAnswer: 13*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 216.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 6*i + 25 = 0. Let k(w) be the second derivative of 1\/6*w**3 - 1\/3*w**4 + 1\/42*w**7 + 0 + w**2 - 2*w - 1\/10*w**i + 1\/15*w**6. Solve k(p) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3762\/(-836)*-2*2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190178727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -6*u - 16. Let z(m) = -7*m - 5. Let a(s) = -s. Let r(b) = 5*a(b) - z(b). Let y(d) = -5*j(d) - 16*r(d). Let g(x) = -65*x**2. Give g(y(f)).\nAnswer: -260*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 580.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 3*w - 3*w)*(2 - 3 + 2)*((13 + 6*w - 13)*(5*w - w - 3*w) - 11*w**2 - 15*w**2 - 4*w**2) - 12*w**2 + 12*w**2 - w**3.\nAnswer: 47*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12210726145 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-12) + (-121821)\/(-18). Let s(p) = -3*p**2 + 8*p + 9. Let o be s(5). What is the units digit of z\/117 - 4\/o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/7 of a week in days?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4494 + 4523. Let p(k) be the second derivative of 1\/4*k**4 + 0*k**2 + 0 - 3\/10*k**5 + y*k + 1\/2*k**3. Factor p(d).\nAnswer: -3*d*(d - 1)*(2*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 less than 35327.902?\nAnswer: 35351.902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 130 - 120. Solve 3*u - 8*u + v = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -70*y. Let g(h) = -48*h. Let q(w) = -7*g(w) + 5*i(w). Let s(c) = 2*c**2 - 11*c. Give q(s(j)).\nAnswer: -28*j**2 + 154*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 12463, 0, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(1377) + -3 + sqrt(1377) + 3 - sqrt(1377)) + sqrt(1377))*4)**2.\nAnswer: 88129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12198849?\nAnswer: 3, 13, 167, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-2)*(-137176)\/(-55398).\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3252 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 443*l - 436*l - 91054 = 3*f, -5*f = 5*l - 65010. What is the hundreds digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnynbynmynmnnbnymynb. What is prob of picking 3 n?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -3*q + 2*q - 4*g, 5*q + 5*g - 285 = 0. Is 2 + 3\/(9\/q) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15382791 divided by 24771?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/145 + 6\/29. Let d(i) be the first derivative of -1 + 0*i**4 - 1\/4*i**2 - j*i**5 + 1\/12*i**6 + 0*i + 1\/3*i**3. Factor d(o).\nAnswer: o*(o - 1)**3*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 39040, 39056, 39094, 39160, 39260?\n\"Answer: l**3 + 5*l**2 - 6*l + 39040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -71c (base 14) to base 11.\nAnswer: -1061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -271*a**4 + 19*a**2*l**2 + 7709*l**2 wrt a?\nAnswer: -1084*a**3 + 38*a*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1020031332101 - -1?\nAnswer: 1020031332102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29330160 divided by -6.\nAnswer: -4888360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1269\/2 - -640. Let w(m) = -67*m**2 + 2*m + 5. Let a be w(-6). Let s = 58039\/24 + a. Calculate the common denominator of s and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 1. Let v = 73 + x. Let q = 50 + -32. What is the remainder when v is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 7*c**3 - c. Let m(k) = -k**3 - k - 1. Let z be (-4)\/(-3)*(-3)\/2. Let o = z + 2. Let n be m(o). What is a(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 3*a - 5106, 5*a + 4070 = -2*k - 2*k. List the prime factors of 24\/6 - k\/5.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = l + 46 - 70, 5*l + 3*o - 88 = 0. Calculate the greatest common factor of l and 2500.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*i - 2*i + 16, 0 = i + h - 4. Suppose -4*q = -3 + 35. Let x = 1 - q. Sort x, i, -3 in descending order.\nAnswer: x, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129083554 minus -11?\nAnswer: 129083565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - v + 4)*(4*v + v - 9*v) + 179*v**2 + 671*v - 671*v to f*v**2 + q + l*v and give f.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*j**3 + 2*j**3 + 7*j**3 + 64*j**2.\nAnswer: -2*j**3 + 64*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -426*g**4*t**3 + 2*g**4 - 348*t**3 with respect to g.\nAnswer: -1704*g**3*t**3 + 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 0*d**2 + d**2 - 2*d**4 + 0*d**4 + d**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54 * -192083.\nAnswer: -10372482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 8:43 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0 = -1. Let v = p + 9. Differentiate -v*u + 2*u**2 + 8*u - 2 wrt u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5 + 4*u - 5 - 6. Let w be p(4). Let l = w - 0. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46377509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 0*z + 3*g = -6, 0 = 2*z - 2*g. Suppose 2*h + z - 11 = 0. Solve -3*w - h = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.4? (a) -4 (b) -13\/6 (c) -6 (d) 17\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7))**20\/((k**(-3\/2)\/k)\/k)**(6\/5) assuming k is positive.\nAnswer: k**(-679\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3\/10 (b) 1 (c) -0.1 (d) -33\/4 (e) -45 (f) 0.5 (g) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)\/(2*sqrt(4)))\/(sqrt(144)\/sqrt(8)))**2.\nAnswer: 17\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 84 + -87. Let q = -2.2 + 0.2. Let u = l + q. Which is the nearest to -0.1? (a) 1\/3 (b) u (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -5*r - 15, o + 7 = 2*r + 14 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1)\/(a\/((a**(3\/2)\/a)\/a)*a)*((a\/(a**(-4)*a))\/a)**(5\/4) assuming a is positive.\nAnswer: a**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*u*w**2 - 520832*u + 28*w**2 + 2*w + 39126 wrt u?\nAnswer: -10*w**2 - 520832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 16*q**2 + 4*q. Suppose 0 = -4*r - 8 + 52. Let k = -15 + r. Let g be s(k). What is g rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 116003\nAnswer: -4\/116003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 11 = 5*v - 5*d, -v - d - 3 = 0. Which is smaller: v or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49 and 931?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**3 + 10*o**2 + 3*o - 2. Determine j(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from dnnnddnndddodndddn.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461228 is divided by 791?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2450*x - 6655 - 5961 - 7547 = 28837 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/8 - 1387\/(-152). Suppose -24 = -u*y + 3. Factor 2*r + r**y + 2*r**4 + 2*r**2 + 2*r**3 + 4*r**2 + 3*r**3.\nAnswer: 2*r*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1244708 divided by 5.\nAnswer: -1244708\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*y + 240*y - 636 = -79*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = m - 75. Let n = 11 - -11. Suppose n = 2*p - 18. What is the remainder when m is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 4650353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 17\/5 - 3\/1. Let t(q) be the first derivative of 2*q**3\/3 + 13*q**2\/2 + 5*q - 10. Let d be t(-6). Put x, 2\/11, d, 3\/2 in ascending order.\nAnswer: d, 2\/11, x, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 2*m + 1. What is t(-5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - a + 4. Let t be d(2). Suppose q = t*q - 1115. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/3968 and 109\/576.\nAnswer: 35712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -27*r - 4. Let y be u(-3). Differentiate 136*i**3 - y*i**3 - 83*i**3 - 15 wrt i.\nAnswer: -72*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v - 1. Let j(f) = 0 + 1 - 4 - 2 - 2*f. Give -4*g(n) + j(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1972?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*j**2 + 2*j**2 - 29*j**3 + 21*j**2 - 8*j**2 wrt j.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -30.703\nAnswer: 3.0703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 98*g**2 + g - 3. Let i be h(6). Suppose -11*n = -8*n - i. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.292 + -0.8\nAnswer: -0.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5562)\/103*(-14)\/(-42)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (323298\/(-63))\/(10\/(-35)) + 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3123912637 rounded to the nearest one million?\nAnswer: 3124000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 55841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 11*m + 6 = 0. Let c(v) = v**3 + 2*v**2 + 2*v + 1. Let x be c(m). What is the units digit of 9*(0 + (-2)\/x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76 (base 13) to base 6.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**3 + 3*p**2 + 3*p + 1. Let q be w(4). Suppose t + 4*x = q, t - 114 = 3*x + 40. Let j = 258 - t. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -35\/4 in 7, 3, 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64 + 143. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114360433829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 922*(126\/12)\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2*(sqrt(8)\/sqrt(4) + 3))**2.\nAnswer: 24*sqrt(2) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhqhhhhhqhhhii. What is prob of sequence qhh?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of 0 - a**2 + 7\/6*a**3 - 15*a. Let d be o(2). What is the greatest common factor of d and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 12*y - 15. Let v be -1 - (-11)\/(-2)*-2. Let a be t(v). Solve a*x = -4*d + 6 - 3, -27 = -5*x + 4*d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibip when four letters picked without replacement from prapbii.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -8, -5, 84 in increasing order.\nAnswer: -8, -5, -2, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5238, -5237, -5236, -5235, -5234?\nAnswer: -5233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 488962661321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -8 + (1155 - 1183 - (-2 - (8 - -1))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 481844296.3 rounded to the nearest one hundred thousand?\nAnswer: 481800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (-1 - (17 - -30)) + 0 + -14.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 2338.\nAnswer: 5\/2338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.64396869 to two decimal places.\nAnswer: 5.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 9.1. Let q = f - 9. What is the nearest to 2\/5 in -4, -1\/7, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 209518218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*x + 4*x + x)*(2 + 4 - 4)*(152 + 191 - 71)*(4*x - 7*x + 5*x) to the form l*x**2 + t + s*x and give l.\nAnswer: 1088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1629443*j**2*v**2 + 1578244*j**2*v wrt v.\nAnswer: -3258886*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/18 + 3602\/942 - 3. Let m = i + 3\/314. Solve 121\/6*d**2 + 22\/3*d + m = 0.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o - 1. Let k be l(1). Let v be (3\/((-6)\/(-140)))\/k. Let x = -6 + 20. What is the greatest common divisor of v and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/35)*m\/((m\/(m\/(m*m\/m**(3\/11))))\/m*m*m*m)*(m\/((m\/(m\/((m**(-4\/3)\/m)\/m*m)))\/m))**(3\/2) assuming m is positive.\nAnswer: m**(2861\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -886.\nAnswer: -886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19632149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2 - 26) + 26 - (6 - -1)) + -12.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*i**2 + 821*i**3 - 71*i - 339*i**3 + 1009*i**3 + 382*i**3 + 248*i wrt i?\nAnswer: 11238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -34*t**3 - 35*t**2 - 11*t - 95. Let q(s) = 16*s**3 + 17*s**2 + 5*s + 44. Determine 6*j(a) + 13*q(a).\nAnswer: 4*a**3 + 11*a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -16*i - 31. Let n(w) = -24*w - 47. Give 7*g(o) - 5*n(o).\nAnswer: 8*o + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.90969 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 2\/19, 282, 5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/(-20)*(-96)\/36. Let a(v) = -2*v**3 + 2*v - 2. Calculate a(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 149309.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*35\/(-14)*(-6)\/5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2244 by -4.\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from aararraqaadqrqadf?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (2 + 0 - -42 - -19).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3300 divided by -3526?\nAnswer: 1650\/1763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 6:47 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/26 + 510\/65. Let t = -14 + 38. Calculate the remainder when t is divided by 1\/2 + 100\/c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 137.\nAnswer: 4\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33592?\nAnswer: 2, 13, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*2\/1)\/(34\/34)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 plus 833?\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61322962?\nAnswer: 2, 41, 747841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*v = 5*c - 287, 3*c - 176 = -5*v. What are the prime factors of c?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12323523.\nAnswer: 3, 31, 132511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69 - 23. Suppose 4*g - c = -3*m, 5*m + 40 = 4*g + 10. Suppose 2*s - 7*t = -3*t - g, -2*t - 10 = -4*s. Solve -s*x + 16 = -2*j, x - 3*x = -2*j - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**2 + 37*l + 13. Give y(19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4900*p**4 - 9801*p**4 + 630*p**6 + 462*p - 2*p**2 + 4901*p**4 wrt p.\nAnswer: 75600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 339*y - 346*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 48579, 96858, 145135, 193410?\n\"Answer: -a**2 + 48282*a + 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bcscwcfcb. What is prob of picking 1 c and 1 w?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 3 + 3)*(-x**2 + 2*x**2 - 2*x**2) + 457*x**3 + 2 - 56*x**2 - 432*x**3 + 230*x**2.\nAnswer: 26*x**3 + 174*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -44020 or -44021?\nAnswer: -44020","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15860)\/(-115) + (-4)\/(-46). Let b = -138 + a. Is 25 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -p*q**3*v**2 + 2744*p*q**3 - q**3 - 219*q**2*v**2 wrt p?\nAnswer: -q**3*v**2 + 2744*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8, 20, 38, 62, 92, 128?\n\"Answer: 3*d**2 + 3*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.6245l in millilitres?\nAnswer: 96624.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46320161*n**3 + 95*n**2 + 2*n - 9618 wrt n?\nAnswer: -277920966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -w**6\/120 + w**5\/20 + w**4\/8 - w**3\/2 - 78*w**2. What is h(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 1\/(1\/7) + -13 + (1 - -53)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -572, -588, -620, -674, -756, -872, -1028, -1230?\nAnswer: -1484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 14*z - 65 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 135*z**2 - 7623*z - 3438462 wrt z.\nAnswer: 270*z - 7623","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -375 + 383.35. Let y = a - -0.65. Do y and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1682960448 divided by -4\nAnswer: -420740112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 + 3*h**2 + 0*h**2)*((-35*h + 53*h + 127*h)*(4*h - 4*h - 2*h) + 3 - 3 + 5*h**2).\nAnswer: 285*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**18\/o**(5\/3))**8 assuming o is positive.\nAnswer: o**(392\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + (3 - 2))\/1. Put 1, 0.1, t in descending order.\nAnswer: 1, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 92?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.764009 rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 217 and 1757.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ceeeeeccceccce. What is prob of sequence ee?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - j + 6. Let z be p(-3). Let u(x) = -1 + 434*x**2 - 429*x**2 + z*x + 3*x. Calculate the remainder when 47 is divided by u(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.051 - -3.849. Let a = -1.1 - y. Let m = 4 - 0. What is the nearest to 0 in a, 0.3, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(475)*-2 + (sqrt(209)\/sqrt(44) - sqrt(19)).\nAnswer: -21*sqrt(19)\/2 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/18 and 4\/(144\/465) + 3\/12.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -24*m. Let z(d) = -10*d**2. Give k(z(p)).\nAnswer: 240*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -37b44c (base 16) in base 6?\nAnswer: -210125032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5807781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 3:14 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -21 + (-7896)\/(-378) - (-32)\/45\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16455149873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2411412 - -2?\nAnswer: -2411410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 10*x - 13. What are the prime factors of p(6)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*v - 216 = 104*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 59. Let t = v - 48. What is the common denominator of -62*t\/10*6\/(-54) and 89\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.2 (b) -1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2789*o - 214875. Give x(-77).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -2*v**5\/15 - 2*v**4\/3 - v**2. What is the second derivative of j(s) wrt s?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**3\/3 + 2*j - 1912. Suppose 0 = -5*y - 3 - 22. Let r = 1 + y. Calculate m(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5129, 17151, 37179, 65207, 101229, 145239, 197231, 257199?\nAnswer: 325137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1253461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.2 + 4.2. Let y = -0.1 + -0.9. Let u = y + q. What is the smallest value in u, -3, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 - f. Let a be i(5). Suppose -5*s + 23 = -r - 0*r, -s = -4. Let y be -2*9\/6*r. What is the greatest common factor of y and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k + 9. Let u be b(-4). Suppose -35 = -x + 2*o - 7*o, -4*x + 3*o = -u. Let f be 1\/((-2)\/x)*-1. Solve 4*s - 4*g - 4 = 0, -f*s + 4 = -s + 2*g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/4 of a millennium?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -9*r**2. Let y be -4 - (-4 + 5)*-14. Let g(c) = c**3 - 10*c**2 + c - 11. Let m be g(y). Calculate d(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 551833 and 194.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhhihhhhhihhhh. What is prob of sequence hhi?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**3 + 4*c**2 - 2*c - 4. Let g be d(-3). Suppose f = -3*f + g. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 221 + -107. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-14))\/((-13059)\/(-30471)*(58\/(-4))\/(-1))\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 3*v + 86, 2*k - 3*v = -v + 44. Suppose -p = 2*c + 4*p + k, -3*c = -3*p - 3. What is the tens digit of 11\/((-4)\/8 + (-2)\/c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) -9 (b) -2\/7 (c) -12257 (d) -0.026 (e) 2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6169 is divided by 380?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 9 = 5*p. What is the second smallest value in 3, p, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + x - 1. Let b(q) = -6*q**2 - 4*q - 11. Calculate b(z) + 4*t(z).\nAnswer: -2*z**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 0*h + 3. Let y(j) = -j**3 + 4*j**2 - 5*j + 3. Let g be y(h). Is (-2)\/g + 26\/6 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 4:21 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 11*a - 73, -159*a = -78*a - 77*a - 12 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*j*k*t**3 + 4*j*k*t**2 - 27*j*k*t - j*t**3 - k*t**3 - k*t**2 wrt t?\nAnswer: -144*j*k - 6*j - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -384*o - 307*o**3 - 302*o**3 + 929*o**3 - 307*o**3.\nAnswer: 13*o**3 - 384*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**4\/3 + 440*j. Let k(d) be the second derivative of -d**3\/2 + d. Determine k(m(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 4 + 0 + 3 - i**3. Let g(p) = -24*p + 880. Let q(k) = 16*k - 585. Let d(h) = 5*g(h) + 8*q(h). Let z be d(35). Determine f(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 4. Let x = 73.5 + -73.63. Which is the biggest value? (a) j (b) -1 (c) -0.1 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1487272 by 185909.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 204909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/18*(-2040)\/(-4) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d*l**2*n*t + 882*d*l**2*n - d*l**2*t + 17*d*l**2 + d*l - 30*d*t + l**2*t - l*n*t with respect to n.\nAnswer: -d*l**2*t + 882*d*l**2 - l*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-3) + 14\/(-2). Let p be 7*-3*(3 + -2). Let a be w\/p + (-2)\/(-7). Is a equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m. Let r be n(1). Let d = 1 + 0. Let q be (d + -2)\/5*4. Are q and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125195931?\nAnswer: 3, 7, 313, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -223 times 4?\nAnswer: -892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -p**3\/2 + 35*p**2\/2 + 21*p. Let b be s(11). Solve -2*z - u = b, -z + 2*z = -3*u + 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 85?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 128? (a) 0.4 (b) -1\/3 (c) -26\/7 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 10) + 1 + 1. Let o be 4*5\/((-40)\/q). Let p be (6 + -2 - o)*1. What is the closest to -0.1 in -3, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9552185320 - -9.\nAnswer: -9552185311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*b**5 - 2*b**4 + 1006*b**3*s - 21*b + 14*s - 1 wrt b?\nAnswer: -80*b**3 - 24*b**2 + 6036*b*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 17, a: 3}. What is prob of picking 4 c?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3, -4, 130075?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*m = -u + 3, 2*u - 3*m = 4. Let g = 31.2 + -31.1. Which is the nearest to g? (a) u (b) 0.1 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (16\/(-12))\/(4\/(-24)). Calculate the greatest common factor of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 3. Let f = 223 - 224. Let t(j) = -3*j**2 - 12. Let h(o) = f*t(o) - 4*r(o). Let g(p) = -314*p**2. Determine h(g(a)).\nAnswer: -98596*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 188397 and 2205.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 2 - 4. Solve u*i - 3*t - 2 = 0, -5*t - 12 = 8 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 57.14434 weeks?\nAnswer: 9600.24912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1318280037 + 1318280037 - 2*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 56*2\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/6 - 17557*u\/3 - 245749\/6.\nAnswer: -(u + 7)*(u + 35107)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 93a - 6?\nAnswer: 934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + -25. Let j(l) be the second derivative of 0*l**m + 1\/6*l**4 - l + 0 + 0*l**2 - 1\/10*l**5. Find the third derivative of j(w) wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -198 - -200. Find f, given that -4*f - 3*f**3 + 0*f**3 + 4*f**3 - 3*f**3 - 6*f**r = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21011 rounded to the nearest 100?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*w + 100*w - 316*w in the form u + t*w and give t.\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*26.93.\nAnswer: -188.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 1\/3*m**3 + 6*m + 1 - 9\/2*m**2. Determine d(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 95671\/168 - 3986\/7. Is u <= -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101 + 10110000101100011?\nAnswer: 10110000101001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -7, 1\/4, -4.\nAnswer: -7, -6, -4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3 - -4) + 1)*(-3)\/(-2). Suppose 2*z - 2298 = -u*z + 3*w, 4*z = 2*w + 1840. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((((x*x\/x**(2\/13))\/x)\/x)\/x))**(1\/3)*((x\/(x\/(x\/(x*(x\/(x**7*x))\/x*x)))*x*x)\/x)**15 assuming x is positive.\nAnswer: x**(4708\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 - 0.78. What is d rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 3)\/4*0. Solve 3*p - 29 = -p + 3*t, p - t - 8 = u for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (50\/(-75))\/((2\/(-18))\/((-5633)\/(-786)))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(55\/(-2)))\/(33327\/(-17457)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 74100 and 152256.\nAnswer: 72321600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 315 - -1?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbab when four letters picked without replacement from mmbmnanaabbn?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from hssxifl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eud when three letters picked without replacement from uududue?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4001 + -0.5.\nAnswer: 4000.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + h = -10146 + 10174, 0 = k - 5*h + 78 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 17. Suppose i + o = 2*c, c - 1 + 2 = 3*i. Solve -5*g = 2 + c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 f, and 1 r when three letters picked without replacement from ktrftrtktkfktrt?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and 99.4?\nAnswer: -695.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33\/14200103 or 0?\nAnswer: -33\/14200103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 10*p. Suppose -5*t - 2*i + 3 + 9 = 0, 5*i - 3 = t. Let l(k) = 9*k**t + 9*k**2 - 20*k**2. Determine l(x(h)).\nAnswer: -200*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009559 to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1009922?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2063*w**2 + w + 2095*w**2 - 2825*w**2 to k*w + y*w**2 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) -0.2 (b) -14 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*i**2*z**2 + 7*i**2 + 91*i + 1004*z**2 wrt i.\nAnswer: 4*i*z**2 + 14*i + 91","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2*f + 20 = 0, -v - 86*f = -87*f - 8. Solve -u - u = v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 4*a + a)*(-193*a**3 + 193*a**3 + 8*a**4).\nAnswer: -8*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -79 (b) -3 (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120940*h**2 - 242472*h**2 + 121531*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 5*y + 17. What is r(-7)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9512 (base 13) to base 14\nAnswer: 773b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5896 or 11793\/2?\nAnswer: 5896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 12 - 6 = 4*a, 4*a + 5*z = 15. Suppose a = 5*d + 4*d. Solve d*v = v + 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -95 divided by -1749\nAnswer: 95\/1749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - h = -2*h + 24, h = -2. Is 0.1 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + 18. Let a = 48 - r. Let u = -103 + 108. Calculate the highest common divisor of u and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3.9 (b) -92 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264*g = 263*g + 7 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -685171, -1370236, -2055301, -2740366, -3425431, -4110496?\nAnswer: -4795561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/6 + 0)*-38. Suppose -11 = -2*l + u. What are the prime factors of l?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d + 14 + 8*d**3 - 29 + 0*d + 19 in the form a + l*d**2 + j*d**3 + q*d and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 223\/9, -6, 3\/8.\nAnswer: -6, -1\/6, 3\/8, 223\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (148 + -119 + 88\/(-3))\/(2\/288).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -174 - 178 + 2*n + 6*n**2 + 346 - 2*n**3 = 0. Calculate n.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 9 = 263*m - 266*m, -5*n = m + 25 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*p + 10, 4*n - 3*p + 8 = 19. What is the second derivative of -1 + 3*h**3 + n*h + 1 - 4*h wrt h?\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q - 4. Let m(x) = 17*x - 23. Let g(d) = 5*i(d) - m(d). Let c(l) = -l**2. Calculate c(g(w)).\nAnswer: -484*w**2 + 132*w - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*z = -21, 0*z = 4*a + 4*z - 20. Let q(c) = c**3 - 4*c**2 + 2. Let j be q(4). Is j bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3939*c - 8166. Calculate p(-2).\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 5*g**2 - 2*g + 2. Determine k(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 21 = -2*c. Let i(f) = -2*f - 13. Suppose 5*s - 24 - 11 = 5*b, 0 = -b - 5*s - 25. Let o be i(b). What is the highest common divisor of o and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 3)*(2*n**3 - 2*n**3 + 2*n**4) + 18 - 2*n**4 - 18 + 510 - 4*n**4 - 2*n**4 - 511 to the form s*n**4 + q*n**3 + r + y*n + j*n**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 36*c**2 + 47*c + 418. Calculate q(-35).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (816 - 849) + (2 - -56).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, c: 4, n: 1, s: 1, h: 2}. Give prob of sequence xcn.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -74297*f**4 + 52*f**2 + 4845220*f + 3.\nAnswer: -891564*f**2 + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 0*d + 4*d)*(-2613*d**3 + 62*d - 1321 - 27*d + 2602*d**3 - 35*d).\nAnswer: -22*d**4 - 2642*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d - 5. Let f be p(-4). Let a be -12*(6\/12 + f). Solve 5*v + 0*n = -2*n, -2*n + a = 2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, q: 14}. What is prob of picking 3 q and 1 p?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2961053287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 z when two letters picked without replacement from {z: 2, w: 2, f: 4, d: 2, u: 1, v: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 6. Let r be o(4). Suppose -1 = -r*a - 13. What is the second biggest value in a, -3, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 11*g - 2. Let w(a) = -21*a + 5. Let b(k) = -7*l(k) - 3*w(k). Let d = -8 + 7. What is the remainder when b(d) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -103, 2, 147, 21 in decreasing order.\nAnswer: 147, 21, 2, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253 is divided by 230.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in -0.13, -4\/23, 5, -2?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-6)*(-3)\/(84\/8).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b - 5*b + 3*b)*(582*b - b**2 - b**2 - 524*b).\nAnswer: -8*b**3 + 232*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -163*j + 3. Let b(g) = -35*g**2 - 2*g + 2. Calculate t(b(l)).\nAnswer: 5705*l**2 + 326*l - 323","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five quarters of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-73 + 178 - 91 - (1 - 1)) + 88\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 254.2234ml in litres?\nAnswer: 0.2542234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + z + 59*z**2.\nAnswer: 59*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 9:25 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46757 by -10.\nAnswer: -46757\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -253101 (base 9) in base 14?\nAnswer: -3db6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*x - 7542 - 11538 = 0. Let n = x - -656. Does 21 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 926*w. Let i(v) = -13621*v**2. Give c(i(f)).\nAnswer: -12613046*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -54 (b) 4 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 182.9 - 108. Round g to the nearest integer.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)\/(p\/p**(-3\/31)))**(4\/5) assuming p is positive.\nAnswer: p**(-632\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/3*(-51)\/2. Let q(d) = -d**3 - 12*d**2 + 38*d + 31. Let o be q(-15). What is the highest common divisor of p and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 383 - 23 = z. Calculate the greatest common divisor of 144 and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14031, 27111, 40179, 53229, 66255?\nAnswer: 79251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-66)*(17\/((-476)\/(-462)))\/(-3).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -3 - 3. What is k in -2*k**3 + 0*k**2 + 3*k**c - 2*k**4 + 3*k - k**2 - k = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.9 + -2.4. Let f = a + 10.3. What is the closest to -1\/3 in 1, -6, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -12.2 (c) -208 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2511, -5084, -7685, -10314, -12971, -15656?\nAnswer: -18369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -8*t + 7*t. Let w(s) = 4. Let i(p) = -p**2 - 1. Let z(q) = t*i(q) - 2*w(q). Let x(y) = -3*y**2 + 1. Calculate -9*x(r) - 4*z(r).\nAnswer: 3*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 101 + -119\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 553009 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*(p\/p**(-1\/6))\/p*p*p))\/(p*p**3\/p))\/(p*p**(-1)*p*p)**10*(p**(-2\/7)*p)**(-6\/5)\/((p\/p**(-5))\/(p**(-7)\/p)) assuming p is positive.\nAnswer: p**(-1681\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/(-208)*(8\/1)\/1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 718681.4t in kilograms?\nAnswer: 718681400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 4:02 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1934230 to the power of 1\/3, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 422\/6 - -5*(-1)\/15. Let i = n + -25. Suppose -4*d - 5*w = -i, 3*d + 3*w = -w + 34. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16089 to three dps.\nAnswer: 0.161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -326.63 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-453)\/((-63)\/(-28)*1\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.68335 less than 1576?\nAnswer: 1575.31665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 6931\/10 + (-14)\/140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 11 = -2*h + b, -3*h - 3*b = 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 - 1.96. Let t = z + 7. What is the smallest value in -1\/2, 1\/2, t?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -40\/3, -11834, -6 in decreasing order.\nAnswer: -6, -40\/3, -11834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l**(-2\/89)*l))\/(l*l*l\/l**(-2\/15)*l)*l**(-18)\/l*l**(2\/105) assuming l is positive.\nAnswer: l**(-68816\/3115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**6 + 2063*f**4*l - 5*f**2*l - f**2 - 2*f*l + 54*l wrt f.\nAnswer: -120*f**3 + 49512*f*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, -2, -27, -66, -119?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 2, -3, -10?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 445 = -3*h - 2*w, 6*w = -4*h + 4*w - 590. Let q = -85 - h. Calculate the remainder when 235 is divided by q.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 501 - 753. Let w be r\/(-30) + 2\/(-5). Suppose 0 = m - 24 + w. Calculate the smallest common multiple of m and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 36854755*r**3 - 21871040?\nAnswer: 110564265*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30595663?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 51\/2, 1, -13\/17?\nAnswer: 51\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a. Let s(h) = -h - 4. Let v = 14 + -7. Let m(b) = -2*b - 7. Let x(r) = v*s(r) - 4*m(r). What is k(x(q))?\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -7. Let p(h) = -h**3 - h**2 + 25. Let v be p(0). Let m = 24 - v. Sort m, -4, d in increasing order.\nAnswer: -4, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/96*3\/(-5)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.3306779 rounded to one decimal place?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 3\/575, -5\/6, -2\/7, 1 in decreasing order.\nAnswer: 1, 2\/13, 3\/575, -2\/7, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032 divided by -3?\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26678 is divided by 24.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 726*q - 721*q - 25. Suppose q*k = 1264 + 851. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 185254 and 1482032?\nAnswer: 1482032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14803 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-85)\/14 - (-42 - -38 - (5 - 3)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 5*h - 487, 0 = 2*t - 2*h - 0*h - 478. Calculate the common denominator of ((-3)\/(-8)*-2)\/(6\/t) and -67\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 214132031 (base 5) to base 13\nAnswer: 266007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*a + 9*a + 17*a - 5*a + 5*a - 3*a + (0 - 3 + 1)*(2*a + 1 - 1) in the form s + z*a and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from ddcddddddcccdddc?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4482495.32 from 0.95.\nAnswer: -4482494.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.0424.\nAnswer: 0.00848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -52*s**2 + 6*s + 20. Let p(r) = -15 - 19 - 10*r + 3 - 10 + 103*r**2. Let j(v) = 5*i(v) + 3*p(v). What is the first derivative of j(y) wrt y?\nAnswer: 98*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-8)\/6)\/((-120)\/3510) is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -511.43 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7576, -12583, -17590, -22597?\nAnswer: -27604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588 is divided by 54?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1194 or -2\/33?\nAnswer: -1194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*z = 5 - 19, 0 = 3*z + 9. Suppose 8 = 4*g + l*g. Let d = -788\/231 + 37\/11. Which is smaller: g or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176229.\nAnswer: 3, 61, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18637 - 18637.03. Sort u, 2, -70 in increasing order.\nAnswer: -70, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 625*y**2 - 205*y**2 + 1663*y - 214*y**2 - 216*y**2 - 1663*y.\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 13*v**3 - 148*v**2 + 77*v - 18. Give z(9).\nAnswer: -1836","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssansttvnn. What is prob of picking 1 s and 1 a?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k**6\/10 - k**4\/6 - 2*k + 2. Let s(d) be the first derivative of r(d). Find the third derivative of s(h) wrt h.\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 30*r**2 + 59*r + 7. Determine o(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 5*y - 22, -7*y + 8*y - 5*h + 1 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-9)*4\/(-4))\/(29\/18183*-22).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d - 8. Let p(r) = -5*r - 32. Let i(q) = 2*p(q) - 9*w(q). Let l(g) = -1. Let v(s) = -i(s) - 4*l(s). Let j = 2 + 3. Determine v(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14\/12505 (b) -1\/4 (c) 73\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3 = 3*f, 2*c + 0*c = -5*f + 5. Solve c*z - 4*z - 3*n = 15, -2*z = 2*n + 10 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279068.\nAnswer: 2, 69767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(10*a - 3 - 12*a + 0).\nAnswer: -4*a - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -24963\/5410?\nAnswer: -24963\/5410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s**2 + 23*s - 13. Let z(f) = 8*f**2 - 45*f + 24. Let t(y) = -5*r(y) - 2*z(y). What are the prime factors of t(-10)?\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**5\/600 - v**4\/80 - v**3\/15 + 17*v**2\/2 + 6*v. Let q(r) be the first derivative of c(r). Let q(m) = 0. What is m?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**4 - 33*y**3\/2 + 15*y**2\/2 + 8*y = 0.\nAnswer: -1\/2, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -7*q - 23. Let z be j(-4). Let m be ((-8)\/10 - 0)*-95. Suppose -m = -z*d - 11. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -121.1783?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*f - 1\/8*f**2 - 3\/8.\nAnswer: -(f + 1)*(f + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 + -341. Round q to the nearest ten.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 425278925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*g + 2800 = -10*g. Solve 0 = -55*f + g*f + 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2550149589 rounded to the nearest one hundred thousand?\nAnswer: -2550100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 18*h**2 - 163*h - 2929. Calculate the remainder when 2*12 + -2 + 4 is divided by w(-18).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 33 - 7 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (2 - 1))\/(1 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.9 - -11. What is the closest to z in 2\/5, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 10 = 10. Suppose -n + 1 = -3*d, 0*d = -2*d + k*n - 4. Suppose -4*p + 5*p - 12 = d. Solve 4*f - f = p for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-6))\/(3 + (-177)\/60). Let s(c) = j*c + 34 - 35 - 4*c. Give s(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2300 a factor of 3220832600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) - ((sqrt(84) - sqrt(84)*-1)*-2 + sqrt(84) - sqrt(84) - sqrt(84)))\/(-5*sqrt(84)\/sqrt(7)).\nAnswer: -6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 7:42 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**5 - z**5 + 4*z**5 + (0 + 0 - z**3)*(3*z**2 - z**2 - z**2) + 5*z - z**5 - 5*z + (1 - 1 - 2*z**2)*(-78*z - 45*z**3 + 78*z).\nAnswer: 86*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -3. Let a = q + -1. Let y(j) = -43*j - 1763. Let i be y(-41). Solve i = -3*f - a*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 8 - 4. Let i(n) be the first derivative of -n**3\/3 - 3*n**2 + 5*n - 13. Let q be i(o). Calculate the highest common divisor of q and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b**2 + 2*b. Let f(n) = 4*n**2 - 3*n + 1. Suppose g - 2*t = -3*g - 18, 4*g + 6 = -2*t. Let k be (g - -4)*(-2 + 0). Determine k*f(x) - 3*l(x).\nAnswer: x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*u**2 - 56*u**2 + 217*u**2)*(-16 - 8 + 50 - 18).\nAnswer: 1704*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/25 - (-24)\/10. Suppose 2*j - 8 = -x*t + 4*j, 1 = -2*t - 5*j. Is 11 a factor of 42 + 1 - (1 - t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13511328 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*z**2 - z**5 - 9*z**5 - 2*z**5 wrt z.\nAnswer: -720*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -61 + 64*j**3 + 98 + 22 + 49 as p + h*j + f*j**2 + b*j**3 and give p.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 155 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7311447593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36630 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b - 11*b**3 + 3*b + (b**2 - 4*b**2 + 2*b**2)*(-14 + 12 - 14)*(-b + 3*b + 2*b).\nAnswer: 53*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -30, 0.1, -0.3 in ascending order.\nAnswer: -30, -0.3, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at least 2617?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 125 - 89. Let t = -31 + x. Suppose -f + 60 = -t*p, 2*p - 5 = 3. Does 27 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 363*p + 5677. Give q(15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is bb + -68?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66 - 66.1204. What is x rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -461.999811 + 462. What is c rounded to five dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126554279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -0.4, 0.249, -0.2, -0.5 in decreasing order.\nAnswer: 0.249, -0.2, -2\/9, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 230 - 210. Suppose 0*n + g = -10*n. Which is greater: n or -24\/29?\nAnswer: -24\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, 3, -1318, 12 in increasing order.\nAnswer: -1318, -5, 3, 7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2611, 5223, 7835, 10447, 13059?\n\"Answer: 2612*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*b + 4 = 0, 0*b - b = 4*n - 1. Let m(l) = -l**3 + 10*l**2 - 9*l + 1. Let y be m(9). Put -1\/4, n, y in ascending order.\nAnswer: -1\/4, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*y + 1510 - 138*y + 75*y.\nAnswer: -y + 1510","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-34 + 35)\/((1 + 1)*-1). What is the nearest to 1 in 1\/12, 5, q?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 64820 + 64490. Solve -197*w = -219*w - q for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 3*w + 1, -3*y + 0*w = -w - 3. Let g be 2\/(-5) - 72\/(-230). Let j = g - 19\/46. What is the closest to 1\/4 in 3\/7, j, y?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19392)\/42)\/202*294\/(-8)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5*f = -897, -5*w + 257*f = 261*f - 2200. What is the remainder when w is divided by 37?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5035500 divided by -10071\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b*m**3 + 2*b*m**2 + 37*b*m + 1477*b + 21*m**3 - 4*m**2 + m - 1 wrt m?\nAnswer: -12*b*m + 4*b + 126*m - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 8, -t - 79*d + 84*d = -32357. List the prime factors of t.\nAnswer: 32377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/4)\/((-3)\/36)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -405168 and -0.09.\nAnswer: 36465.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/22278 and 18\/869.\nAnswer: 245058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*p**4 + 411*p**3 - 411*p**3)*(36*p + 7*p + 2*p) - 4 + 4 + p**5.\nAnswer: -944*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24675 = -3*u + 5*a + 9444, -5*a = 30. Does 76 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*m + 176 = -140*m. Calculate the least common multiple of m and 172.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -503 - -503.0000101. What is n rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**2 - b + 2. Give h(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*sqrt(12)\/(sqrt(4) - (sqrt(4)*-1 - sqrt(4))).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5 - 43*r**4 + 439*r**3 + 527*r**2 - 440*r - 484.\nAnswer: (r - 22)**2*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(224)*-5*-4)\/(-5*((sqrt(648)*-2 - sqrt(8)) + sqrt(8) + sqrt(1152)*2)).\nAnswer: 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 234168\nAnswer: 234164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.071 or 5235.46?\nAnswer: 0.071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 641 less than or equal to 657?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1865, 0, 4 in ascending order.\nAnswer: 0, 4, 1865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) - sqrt(22)*-1)*6)\/sqrt(11).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 29 = -3*u - 6, u - 4*a = 17. Let l = -90 + 102. What is the smallest common multiple of u + (-1 + -3 - -4) and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 1. Let k be (-37)\/(-74) + (13\/2 - -1). Let u be y(k). Suppose -60 = 5*z - u*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**5 + n**3 - n**3 + (2*n**2 - n**2 - 4*n**2)*(2*n - 2*n - n**3) - 13*n**5 - 3*n**5 + 9*n**5 + (-n**5 + 3*n**5 - 3*n**5)*(6 - 9 - 2).\nAnswer: 2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.047325 rounded to 4 decimal places?\nAnswer: -0.0473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -68 - 73 - 15*a - 21*a + 58*a + 4*a**3 - 24*a in the form b + q*a + j*a**3 + l*a**2 and give b.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 1506 = m + 1519, -3*y - m = -12 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -17554?\nAnswer: 17556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(3) + 5)*3)**2.\nAnswer: 54*sqrt(3) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -252022275 + -310\nAnswer: -252022585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 384, 1029, 1700, 2409, 3168, 3989?\nAnswer: 4884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/(-5040)*60)\/((-1)\/(93\/3))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -24*z**3 + 4*z**2 + 12*z - 70. What are the prime factors of r(-7)?\nAnswer: 2, 3, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/5)*a*a**(-2\/59))\/(a**(-11)*a**24))**31 assuming a is positive.\nAnswer: a**(-106392\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 7*j + 26 = 2*v, 0 = 3*j + 2*v - 22. Is -2*(-1721)\/j*14\/7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 10797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -101 + 112. Suppose 5*n - 4 = 4*v - 2, 3*n - 4 = v. Differentiate 13 - v*g + a*g - 34 + 16*g with respect to g.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*c + 7*c. What is the third biggest value in -0.4, -0.2, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 894568 divided by 447284\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q - 10. Let z be h(0). Let w be 1*699\/2*-2. Is w\/(-15) - 4\/z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 38 + -1 - (4 + 0 - 6). Suppose -2 + p = c. Suppose 0 = 42*z - 67*z + 1775. What is the remainder when z is divided by c?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(273\/78*-1)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 12 = 0, 12*u + 106*s + 163*s - 742 = 9*u + 322 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8089\/20 + -404. Let q = 220593\/20 + -11024. Calculate the common denominator of q and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -835*s - 25888. Determine i(-31).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1491267541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2376\/(-945)*(-7)\/(-6). Is u greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -724*f**3\/9 + 316420*f**2\/9 + 11215256*f\/9 - 165440\/3 = 0.\nAnswer: -33, 8\/181, 470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 221800 to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -498, -387, -276, -165?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11675 + 19743 = 46*h. Suppose 5*l = -4*w + h, -w - 838 = -6*w - l. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 117326303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 136*v + 5 = -133*v, 0 = -j - v + 11 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -0.041011046.\nAnswer: 0.0082022092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50707 + 82625. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c + 54. Let o = -23 - -32. Is k(o) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*r + 1 - 16 = 0, -5*x - 2*r - 3 = 0. Calculate the remainder when 3 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7548636 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + -1. Let l = t - -5.01. What is l rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 230537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 592 and 16?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 0.3, -2, -3, 827, 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a - -3aa?\nAnswer: 3b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20\/6 + -2)*15. Let y = -4 + 7. Suppose 2*w = -y*w + j. Solve -3 = -w*r + 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 113 - 88. Suppose -c*s - 614 = -12739. What is the lowest common multiple of s and 7?\nAnswer: 3395","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271282 is divided by 2171?\nAnswer: 2078","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 4*q + 2*q)*(1 - 1 + 2*q) + (q - 2*q + 4*q)*(-3*q + 3*q + q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 671985?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63081 is divided by 239.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (492\/48)\/(1*3\/48). Let m(b) = -167*b + b**2 + w*b - 11*b**3 + 12*b**3 - 5*b**2 + 2. Suppose 3*t + 0 = 12. Give m(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-19 + 8 - -10) + 3 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-1)\/4)*1. Suppose s*a - 37 = -3*q, 0*q + 12 = -a - 5*q. Solve -4*p - 7 = a for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(-6*s + 0*s - 4*s)*(4 - 2 + 10).\nAnswer: -120*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1003007030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8 + -1 + -8 + 5. Suppose 0 = o*m - 7*m + 6. Calculate the lowest common multiple of m and (-2)\/6 - 19\/(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 4*c + 4. Give o(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 26, 1, 4.\nAnswer: 1, 4, 11, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 8*l**2 + 4*l. Let v be d(-6). Let o be ((-3)\/16)\/(12\/v). Is o at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 34\/5 of a millisecond?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.5 (b) -12 (c) -1\/4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o + 15738 = -14*o. Let i = o - 728. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -570, -1164, -2756, -5844, -10926, -18500, -29064?\n\"Answer: -83*q**3 - q**2 - 10*q - 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 5:36 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, e: 2, x: 2, b: 4, a: 1, v: 1}. Give prob of picking 1 x, 1 g, and 1 e.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 203379619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -31129.5 and 323622952.\nAnswer: 323591822.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 - 2*f**2 + 2*f**2 + (4*f - 3*f - 2*f + 3)*(65 - 65 + 15*f).\nAnswer: -13*f**2 + 45*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -492 + 35*q - 12 - 36*q + 148 - 486.\nAnswer: -q - 842","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 414378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 4*q - 2*s, 38*s - 580 = 190*q - 185*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*a - h, -21 = 2*a + 2*a - 3*h. Let u be (32\/12 + a)*6. Which is bigger: u or -12\/11?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 64*x - 211634 - 259662. Is x a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -78255*s - 469452. What is d(-6)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34811, -34813, -34815, -34817?\nAnswer: -34819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6511*t + 3*u + 3 - 3 = -6514*t + 12, u = -2*t + 11 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18339 - 18339. Find u, given that 2\/3*u + 2\/3*u**2 + n = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -44?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -20*k + 304. Let x be u(14). Solve 218*q - x = 210*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 3*d - 12 = 0. Let b = -70 - -72. Suppose -b*a - 3*h = 3*a - 742, -5*a + d*h = -749. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -314009.597 less than -3?\nAnswer: 314006.597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 49\/28 + 9\/(-12). Find the third derivative of 0 + 1 - 4*w**2 - 8*w**3 - x wrt w.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**3 + 9*c**2 - 9*c - 5. Let v(h) = 3*h**3 - 10*h**2 + 10*h + 5. Let w(b) = 4*p(b) + 3*v(b). Determine w(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 28. Suppose 0 = 3*s - 2 - j. What is the third derivative of s*k**4 + 3*k**5 - 2*k**5 + k**2 - 3*k**4 wrt k?\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 23\/7*b - 10\/7 + 1\/7*b**4 - 15\/7*b**2 + 1\/7*b**3 = 0.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 6 + -10 + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o - 8*o**3 + 9*o - 13*o**3 - 11*o**3 - 7*o + 0*o**3.\nAnswer: -32*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 4*j - 10. Suppose 0 = -a, p = -3*p + 5*a + j. Suppose 0 = p*n + 23 - 38. Sort 4, -3, n in decreasing order.\nAnswer: n, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10292?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*u**4 + 1\/5*u**2 + 0 + 1\/5*u**3 - 1\/5*u.\nAnswer: -u*(u - 1)**2*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 66*b**2 + b - 75. What is z(66)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tjljjtcxxjjt. What is prob of sequence txxl?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*3\/3 + 11 + (-1 - 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-6) - (-10325)\/(-447). Let m be ((-66)\/8195)\/((-18)\/220). Let h = j + m. Find the common denominator of 71\/6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 5*c**2 + 2*c - 4. Let s be w(-4). Let v be ((-14)\/6 - -3)*27. Suppose -s*r = -r - v. Solve 3*o = -12, -5*a = -4*o + r*o - 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**4*p*p**(1\/7)*(p**(1\/2))**37*(p*p**0*p)**(-2\/87)*(p\/p**(-1\/3)*p)\/p**(-2\/21) assuming p is positive.\nAnswer: p**(31699\/1218)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 14*i - 13. Calculate v(-1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 8*t - 9. Let j be u(6). Let n(c) = -3 - c + j. Let q(h) be the first derivative of -2*h**3\/3 + 5. Give n(q(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -40, -55, -70, -85, -100?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -647460 divided by -6\nAnswer: 107910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 26 = 4*c, -5*w + 1955*c - 1953*c = 20 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -8. Let l be (0 - -1)\/(g\/10). Solve 0*h + 5*h = l for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*f - 46*f + 36 = 0. Solve -5*k = f*z + z - 15, -2*z + 11 = 3*k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246284 is divided by 733?\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65135?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*t*z**3 + 2*t*z**2 - 4*t*z + 25417*t - z**3 - 1061*z**2 - 42*z wrt z?\nAnswer: -192*t*z + 4*t - 6*z - 2122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 114588, 229165, 343734, 458295, 572848, 687393?\n\"Answer: -4*z**2 + 114589*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272 - 19*d**3 + 272.\nAnswer: -19*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2008433553 to the nearest integer?\nAnswer: 1262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -81033.6 to the nearest 100.\nAnswer: -81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4, 5, 32, 83, 164, 281, 440?\n\"Answer: i**3 + 3*i**2 - 7*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(13)*-1 + 0)*3.\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -607103, -1214187, -1821271, -2428355, -3035439, -3642523?\nAnswer: -4249607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -2 (c) 0.259 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -14*v**2. Let k(r) be the first derivative of -6*r**3 - 96*r**2 + 96*r**2 + 4*r**3 + 42. Give n(k(w)).\nAnswer: -504*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - d. Let c(z) = -3*z**2 - 8*z - 9. Let f(h) = -c(h) + 2*x(h). List the prime factors of f(7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 15. Is (6*(-472)\/12)\/y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -657*f*s*x**2 + 84*f*s*x + 2*s*x**2 + 3*s + 47*x**2 - x + 28 with respect to f.\nAnswer: -657*s*x**2 + 84*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1511, -3603, -5695, -7787, -9879?\n\"Answer: -2092*u + 581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*w + 9 = -2*h, 2*w + 16 = 4*h. Solve -5*l = -5*d - 10, -d - 10 = -h*l - 0*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27.6 + 23. Let t = -4.7 - i. Let p = 406 - 404. Which is the fourth smallest value? (a) p (b) -0.3 (c) 0.5 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -373 (base 10) to base 3\nAnswer: -111211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.03647286*-15\nAnswer: -0.5470929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11\/43 (b) 0 (c) 16 (d) -2 (e) 0.74 (f) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 37*p**7\/35 - 20*p**4\/3 - p**3\/6 - 333*p**2. Find the second derivative of x(g) wrt g.\nAnswer: 2664*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 400669, 801339, 1202009, 1602679?\n\"Answer: 400670*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 27, 39, 57, 81, 111, 147?\n\"Answer: 3*z**2 + 3*z + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.3 - -0.7. Let d be -1*(-1 - (-8)\/6). What is the third biggest value in 5\/4, b, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (69\/9)\/((-1170)\/(-27)) and 22\/117.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d + d - 3*d + 3 + 4*d**2 - d**3. Suppose -6 = -2*q + 5*c, 0 = 2*q - 0*c + c - 6. Let r be 3*20\/12 - q. Give s(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) + -2)*-1)**2 + 1*(1 + sqrt(176))**2.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + x + 2*x)*(-1047*x**4 - 790*x**3 + 790*x**3).\nAnswer: 1047*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 622 (base 7) to base 4.\nAnswer: 10312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-270)\/75*(-9)\/(-2) + (-30)\/(-25)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -424141143 (base 5) to base 14\nAnswer: -347384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 539 + -435. What is the third derivative of -42*t**2 - n*t**6 + 5 + 54*t**2 - 3 wrt t?\nAnswer: -12480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -391 - -407. What is the highest common factor of o and 272?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**28\/((i*i*i*(i\/((i\/(i*i*i**(-1\/31)\/i*i))\/i))\/i)\/i))\/((i*i**(-15\/2))\/(i\/i**(-1\/13))) assuming i is positive.\nAnswer: i**(25477\/806)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 822, 824, 826?\nAnswer: 828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/45 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1146 - 40?\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 155035 and 5819185?\nAnswer: 1535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k - 22. Calculate h(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/2)\/((-1)\/(-2)). Let j = -6 + w. Factor 1 - n**2 + 1\/2*n**j - 1\/2*n.\nAnswer: (n - 2)*(n - 1)*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w = 5*w. Let q be w*(-3 - (-15)\/6). Let n(o) = o**2 + o - 3. What is n(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 2*l - 2*l)*(2*l + 2*l - 6*l) + (l + 0*l + l)*(2*l + 0*l - l) - 4*l**2 + 2 - 2.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124 - 63 - 9*s**2 - 61.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17969713?\nAnswer: 17969713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401122 is divided by 551.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 275 divided by 20.\nAnswer: 55\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a5 (base 15) in base 16?\nAnswer: 5e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6244?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*k = -12. Suppose 84 = k*p - p - 4*v, 100 = 4*p + 5*v. Calculate the greatest common divisor of p and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(2\/9)*s)\/(s*s\/(s\/s**(-1))))\/(s**5\/s*s*s*s*s*s\/(s\/((s**(2\/25)\/s)\/s)*s)*s))**(-11\/8) assuming s is positive.\nAnswer: s**(2387\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19662550 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 198 (b) 0.3 (c) 1 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004764 rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/1793 - 1805\/21516. Which is the closest to -0.1? (a) 3\/5 (b) z (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00217894041 rounded to 6 decimal places?\nAnswer: -0.002179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275 is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -101*s**5 + 180*s**5 + 129*s**5 - 4*s**5 + 2*s**5 + s**5 + (2*s**2 - 3*s**2 + 0*s**2)*(2*s**3 + s**3 - s**3) + s**5 - s**5 - 2*s**5.\nAnswer: 203*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(972) + sqrt(972) + 0)**2.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3 + (sqrt(180) + 1)**2 - ((sqrt(5) - (-3 + 2 + sqrt(5)))**2 + sqrt(40)\/sqrt(8) + 3).\nAnswer: 11*sqrt(5) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -s**4\/4 - 3*s**3 - s**2\/2 - 4*s + 3. Let h be g(-9). Suppose -4*f - 11 + 3 = 0. Put f, -1, h in increasing order.\nAnswer: f, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 147, 291, 435?\nAnswer: 579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 652?\nAnswer: -654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 105*q**5 + 1134*q**2 - 5*q**3 + 2*q**3 + 12 - 13 - 2*q**4 - 259*q**2 wrt q.\nAnswer: 6300*q**2 - 48*q - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1772057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 7197768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 24 + 0 = 0. Suppose -5*q + 5*v = -115, 0*q + 2*v = -3*q + 74. What is the greatest common divisor of o and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -5*k - 23 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/3)*r*(r\/r**0)\/r*r*r)**(-9)*((r*r**(-2)\/r)**6)**(-1\/47) assuming r is positive.\nAnswer: r**(-1116\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*m + 3 + 4*m**2 - 7*m - 5*m**2 - 8*m - 8*m to h*m + p + k*m**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n - 6. Calculate s(4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -30. Let c = -17 - n. Let b = 3 - c. Sort 7, 0, b.\nAnswer: 0, b, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 10*w - 21. Let f be r(-9). Round f to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -20*n + 23*n + 39, 45 = 3*n + 10*g. Let i(w) = w**3 - 6*w**2 + 5*w + 9. Let p(x) = -x**3 + 3*x**2 - 3*x - 5. Give n*p(z) - 3*i(z).\nAnswer: 2*z**3 + 3*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -7*j**2. Let h(w) = 14*w + 15*w - 44*w + 12*w. Calculate h(p(m)).\nAnswer: 21*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.67 + -0.67. Which is the closest to -1? (a) -0.1 (b) v (c) -7\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (78\/18)\/(2\/6). Let u = g + -9. Let s(d) = -d + 8 + u - 11. What is s(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -14*(3 - (-81)\/(-21)). Suppose 8*o = f + 12. Suppose -2 = -v - 6, -17 = -o*r + 2*v. Solve -3*y - r*j - 12 = 0, 2*j + j + 11 = -2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101421889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*i + 3*l - 4906, 7370 = 3*i - l. Suppose -1616 - i = 4*x. Is x\/(-8) - (-4)\/(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 26*h. Let u(d) = -5*d**2 + 218*d. Determine u(g(x)).\nAnswer: -3380*x**2 + 5668*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4732.44243 and -130?\nAnswer: 4862.44243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2024 * 0.08324.\nAnswer: -168.47776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 9 + 8049 + (-1)\/(-3) + (-51)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmghmmmgzmmmgg. What is prob of picking 1 h and 2 g?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2641293.\nAnswer: 3, 31, 9467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -34f6a (base 16) to base 9\nAnswer: -360522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 9 + 8 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64354 (base 14) to base 8.\nAnswer: -730726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/720 and 131\/24?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/240 and -17 + -1 + 88095\/5040.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -4*j - 4 - 0, -5*j + 15 = -k. Suppose -a = -k*a + 48. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 821.69 - 822. Round s to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 6*n - 11. Let g(z) = z**3 + 6*z**2 + 8*z + 8. Let b be g(-4). Let v be j(b). Suppose v*c - 242 + 22 = 0. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8926 and 10.\nAnswer: 44630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292945763 is divided by 68?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and ((-36)\/12)\/(3\/(-1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 323329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -9*p**4\/4 + 8*p**3 - 9*p**2\/2 - 6*p + 63. Solve l(t) = 0 for t.\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + t. Let l(p) be the first derivative of 11*p**3\/3 + p**2 - p + 192. What is l(o) - 2*y(o)?\nAnswer: 13*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122, 222, 322, 422?\nAnswer: 522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 281160 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 173 - 172.2. Is h less than or equal to -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 312*n - 23737. Calculate u(181).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-12)*(-64)\/(-112))\/((-1)\/(-87))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2464)\/(-42))\/8)\/((-3)\/((-36)\/(-8)))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4\/51 - -3\/34. Let f(b) be the second derivative of -b**2 + 0 - y*b**3 + 2*b. What is f(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 6*f - 2*f + 12, 4*f - 18 = c. Let l be (-3 + c - -4)*(3 + -1). Let a = -43 - -48. Put l, a, -3 in descending order.\nAnswer: a, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 11*x + w + 9, -x - 3*w = 16. Does 14 divide (-14)\/21 - (1952\/(-3) - x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1293186655 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/5)\/((-120)\/125*-2 + -2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express g**2 - 689*g - 944*g - 1716*g + 484*g - 3222*g in the form q + c*g + f*g**2 and give c.\nAnswer: -6087","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -58 + x**2 + 170 - 52 - 60. Let m(j) = -495*j**2 + 2*j. Calculate m(l(i)).\nAnswer: -495*i**4 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express a + 55*a**3 + 77*a**3 + 189*a**3 in the form l + m*a + o*a**3 + w*a**2 and give o.\nAnswer: 321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434846.\nAnswer: 2, 41, 5303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 29*l + 40. Let j be s(28). Let z(q) = -12 + 9*q**2 + j - 1. What is z(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(((-2)\/129)\/2). Suppose -n + m = 6*m - 133, n - u = -3*m. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6558, 13117, 19676, 26235, 32794?\nAnswer: 39353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7\/4 + -37\/12. Let u = 0.3 + -0.8. Let x = -0.0271 + 4.0271. Put u, x, c in decreasing order.\nAnswer: x, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 126. Calculate the remainder when 323 is divided by u(-60).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 380*h - 24428. Calculate q(82).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 13. Suppose 2*q + 2 = -l + 4, 52 = -4*l + 4*q. Let g = l + a. Sort 0.02, -4, g.\nAnswer: -4, g, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -557*s**2 - 1571*s**2 - 3674*s**2 to d + l*s + k*s**2 and give k.\nAnswer: -5802","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -2*j + 5, 0 = -5*o - 5*j - 106 + 126 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9682076081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + (6 - 22 - (-23 + 2))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17428*k + 143552 = -15655*k - 39067 for k.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 292937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1232 + 1234. What is the nearest to 2 in 4, 31, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.02 (b) -2.34 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 103*m + 26 + 21 + 19 - 27 - 94*m.\nAnswer: 9*m + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5454 - 4795. Does 16 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 675*s - 3 = d + 674*s, -2*d - 2*s - 14 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -y**3\/3 + y**2\/2 - 1. Let z be i(0). Let h = -254 - -258. Solve -3*f + 25 = 2*a, h*a - 7*f + 3*f = z for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(171) + -2*sqrt(171) + sqrt(171)))\/sqrt(9) + (-2 + sqrt(1216))**2 + sqrt(1216) + 2.\nAnswer: -24*sqrt(19) + 1222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 17 = 4*o, -3*o - 4*z = -o + 24. Let a be (0*3\/6)\/o. Suppose 4*p - 33 = -5*y, -p + 4*y - 10 = 4*p. Solve -p*r = -a*r + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28567 and 539.\nAnswer: 28567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/19)*r**(-2\/9)*(r**(-1\/4)\/r)\/(r**(-3\/2)\/r))**47 assuming r is positive.\nAnswer: r**(34733\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -81 + 14 - (-26 - (-32 + 30))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3143 = 337*r + 2773 - 1198 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/2*(-2)\/((-2)\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4225 and 76765?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.5 + 3. Let z(k) = -k**2 + 3*k - 2. Let o be z(2). Let c be (2 + -4 + o)\/9. What is the second biggest value in c, -0.3, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.2, -2.4, 18, 1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.091667044 to three decimal places.\nAnswer: -3.092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2067379 divided by -400?\nAnswer: 2067379\/400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -24*i - 44*i - 2 - 54*i + 30*i. Let w be q(-1). Suppose -4*f + w = -42. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 4*x**2 - x + 2. Let o be t(4). Let l be 3\/12*(-4)\/o. Suppose 1\/2*v**5 - l*v**4 - 1\/2*v**3 + 1\/2*v**2 + 0 + 0*v = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 14*j - 48. Suppose 0 = -j*d - 4*h + 328, 0 = 2*d - 0*h - 2*h - 156. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 858 + -290. Find the second derivative of -13*f + x*f**5 - 313*f**5 - 295*f**5 wrt f.\nAnswer: -800*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-42 + 235 + 54 + 125)*(-11*s - 3 - 13*s + 21*s) as o*s + m and give o.\nAnswer: -1116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 3 - (3 - 9 - -3) - (-14 - -16).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-140)\/(-150) + (-6)\/10. Sort i, -1, -2\/31.\nAnswer: -1, -2\/31, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -465, -1848, -4155, -7386, -11541, -16620, -22623?\n\"Answer: -462*r**2 + 3*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3 + 3 + (sqrt(72) - (sqrt(72) + 6*(sqrt(72) + 0 + sqrt(72) + sqrt(72))))) + -2)**2 + 0.\nAnswer: 1296*sqrt(2) + 209956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 4*y**5\/7 - 276*y**4 + 10508*y**3 + 234252*y**2\/7 + 22680*y = 0.\nAnswer: -2, -1, 0, 45, 441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b80 - 1a?\nAnswer: b63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dkdmkmddkgkmddmmdg. What is prob of sequence km?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u - 15005 = 50015. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**2\/2 + 11*s + 1. Calculate v(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -1 - 14) + (-144 - (68 - 102)) + 13.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 = -10*k - 149. Suppose -y - 21 = 4*t, 2*y = 4*t + 8 - 2. Let d = t - -2. Put d, 5, k, 2 in increasing order.\nAnswer: d, 2, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*f**3 - 349*f**3 + 140*f**3 - 218*f**3.\nAnswer: -467*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 272577508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1683*k**2 + 829*k**2 - 274*k**5 - 11 + 3523*k + 10 + 835*k**2 wrt k.\nAnswer: -5480*k**3 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43458*a = 43455*a + 4*l - 42, 3*a - 10*l + 96 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4715.46 - 220303.\nAnswer: -225018.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**2 + s**2 + 2 - 2*s**2 - s**4 - 3*s**4 to l*s**2 + y*s**4 + q + d*s**3 + p*s and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 516 and 1290.\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 1585 (c) 334\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 2:24 PM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2901 - -29037\/10. Let q(z) = -20*z + 10. Let j be q(-7). Calculate the common denominator of y and (3\/(-207))\/(4\/j).\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1377008 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times 20?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71 - -81. Solve -3*l - y = -8*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -125*r**4 + 3 + 41*r**4 - 597*r + 600*r in the form v + s*r**3 + g*r**2 + c*r**4 + b*r and give c.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -24. Let x(q) = q**3 + q**2 + i + 2 + 0 - 2*q - 1. Determine x(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and 13738956?\nAnswer: 13738961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 0*x**3 + 231\/2*x**2 + 0*x**4 + 189\/20*x**5 + 48*x + 0. Differentiate m(z) with respect to z.\nAnswer: 567*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5833473 and 12639?\nAnswer: 1149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -9*a + 640. Suppose -a = -y + 124. Does 19 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 6)*-24*(-70)\/56. Let j = d + 136. Suppose 2*q - 315 = -3*q. What is the remainder when q is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*(sqrt(1584) + -3 + sqrt(1584)) - 5*(sqrt(1584) - (1 + sqrt(1584))) - (sqrt(1584)*2*6 + 0 + 0))**2.\nAnswer: -480*sqrt(11) + 158409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k**2 - 7*k + 3. Let m(i) = 2*i**2 + 4*i - 1. Let g(w) = 3*b(w) + 5*m(w). What is the tens digit of g(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -102000101202011?\nAnswer: -102000101202021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 407, 823, 1289, 1829, 2467, 3227, 4133, 5209?\n\"Answer: 4*c**3 + c**2 + 385*c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 + 3*x**3 - 2*x**3)*(x + 0 + 0) + (-2*x**2 + 5*x**2 - 4*x**2)*(70*x**2 + 29*x**2 - 38*x**2).\nAnswer: -62*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -59144*m. Let h(r) = -2*r - 43. Calculate h(d(y)).\nAnswer: 118288*y - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 174*v + 170*v - 28 = 0, -4*r + 5*v + 41 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-1 - (3 + -1)) - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + 1*((((sqrt(286)*-2)\/sqrt(11))\/(sqrt(14)\/sqrt(63)))**2 + 0)).\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-34))\/(1\/4). Let m be 48\/(-4) + (-375)\/(-30). Which is the biggest value? (a) 1\/5 (b) -10 (c) m (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/9)\/((-13)\/(-13))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5994 divided by -30315?\nAnswer: 1998\/10105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11994 times 0.123\nAnswer: -1475.262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.7 + -0.2. Let m = 53.9 + o. Let a = m + -46. What is the nearest to a in 0.4, -5, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -128.75 in -2\/3, -10, -2, -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/6 + (-64)\/6. Let r(v) = -129*v - 9. Let b(u) = -54*u - 4. Let i(d) = -12*b(d) + 5*r(d). Let l(x) = -8*x - 9. Determine m*i(f) - 4*l(f).\nAnswer: -f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**2\/4 + 2189917*s + 4795736466889 = 0.\nAnswer: -4379834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -168, -694, -1566, -2778, -4324, -6198, -8394, -10906?\nAnswer: -13728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -2 - (-425 - -422)) + -40?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 8:59 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38807423 to the power of 1\/2, to the nearest integer?\nAnswer: 6230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3652\/44)\/(1\/(-2) - -1) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2761 divided by 76336.\nAnswer: 2761\/76336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a + 0*a**2 + 0 + 0*a**3 + 1\/12*a**4. Let b(o) be the second derivative of -17*o**4\/12 + 41*o. Give b(w(i)).\nAnswer: -17*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13367077 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 3*k**2 + 4*k - 2. Let p = 1 + -5. Is a(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r**2 - 3*r - 2. Let y be j(-4). Let o = y - -20. What is the units digit of (o\/30)\/((-1)\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -17 (b) 2\/4521 (c) 273\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 6*n + n = -31, h = 2*n - 13. Let c be -8*(-2)\/(-1 + h). Let k = 60 + c. Calculate the remainder when k is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 5*i - 4. Let b be s(4). Suppose -w + 16 = -0*w - 4*a, w - 13 = 3*a. What is the highest common factor of b and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i + 0*i - 3*i**2 - 4*i + 7*i to the form m + o*i + f*i**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1935.40794 and -0.129.\nAnswer: 1935.27894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(8\/(-2)))\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/33 (b) -232 (c) 1 (d) 6\/19 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + (6*sqrt(304) + 5 - (sqrt(304) - (sqrt(304) + sqrt(304)*-2*6 + sqrt(304)))))**2.\nAnswer: -80*sqrt(19) + 7604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 l, and 1 q when three letters picked without replacement from lqjzz.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4782, -9636, -14502, -19386, -24294, -29232, -34206, -39222?\n\"Answer: -u**3 - 4847*u + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -252186 (base 10) to base 13\nAnswer: -8aa2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 q when two letters picked without replacement from {d: 4, a: 8, j: 2, q: 3}.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-61)\/6344*429.\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 66 = 3*v. Let k(m) = m - 3. Let p be k(v). What is the third derivative of 10*r**2 - 5*r**2 - 3*r**6 + p*r**2 - 5*r**6 wrt r?\nAnswer: -960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1da5d5 (base 14) in base 11?\nAnswer: -668865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (24*53)\/2 + -3. Let f be y\/6 - 3\/(-6). Suppose -38 = -q - 5*d, -f = -5*q - 4*d - 0*d. What is the remainder when q is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**6\/24 + 41*p**5\/5 + 81*p**4\/4 - p**3\/6 - 325*p**2\/8 - 81*p\/2 - 292. Let j(r) = 0. What is r?\nAnswer: -162, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -18571, -21535, -26473, -33385, -42271, -53131, -65965?\n\"Answer: -987*k**2 - 3*k - 17581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -89472703.77 to the nearest 1000000.\nAnswer: -89000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-255)\/16320*(-16)\/6?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 7.9\nAnswer: -7.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 1491?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1124 - 90 = -312*r + 346. Suppose 0 = -2*p - 0*p - 8. What is the second smallest value in r, 30, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(832) + sqrt(832)*-1 + 3)*5)**2.\nAnswer: 8100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, t: 2}. What is prob of sequence ttl?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -28. Suppose -u = -x*r + 98, -r = -5*r + 5*u + 202. 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 = -606.0000978 - -606. Round j to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.5, -1\/6, 2, 2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 149*v**9\/42 + v**5\/20 + 47*v**3\/2 + v**2 - 577. What is the third derivative of l(q) wrt q?\nAnswer: 214560*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -33 + 1. Suppose -5*p + 37 = -2*n - 13, 0 = 2*p. Let b = c - n. Is 17 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/411 + 1225\/1644. What is the second biggest value in 0.1, -4, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of l**3 + 0*l - 2 + 3*l**2 - 9\/4*l**4. Factor b(m).\nAnswer: -3*m*(m - 1)*(3*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 500397.4 hours in microseconds?\nAnswer: 1801430640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 930186*f. Let z(r) = r**2. Calculate m(z(o)).\nAnswer: -o**4 + 930186*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + -29 + -13 + 91?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-82)\/(-26) + -3)*(1 - 0). What is the second smallest value in -3, -2, -6\/11, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1122 take away -1617.6?\nAnswer: 495.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 8 = -0*o. Solve -5*s - 4*f - o = 0, s + 3*f + 0 - 2 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 77*g**3 - 16*g**2 + 5*g + 2. Let h(x) = -26*x**3 + 6*x**2 - x - 1. Calculate 8*h(w) + 3*m(w).\nAnswer: 23*w**3 + 7*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*z = 20, 0 = -2*g + 6*g - 2*z + 8. Suppose g = 3*b - 20 + 8. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 7*d. Let z(f) = 5*f - 18. Let x(k) = -k + 4. Let n(p) = -18*x(p) - 4*z(p). Calculate n(v(w)).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 259*d**3 + 4*d - d + 6*d - 10*d**2 - 5*d. Let b be w(8). What is b rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000490122 rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 38 - g - 14 - 12 - 13. Let k(f) be the first derivative of f**4\/2 - f**3\/3 - 5*f**2\/2 - 3*f + 1. Give 3*d(h) - k(h).\nAnswer: -2*h**3 + h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 21*k**2 - 10. Let n(b) = b. Determine n(r(y)).\nAnswer: 21*y**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-842 + 1666 - 839 - 29*n)*(0*n**2 + 0*n**2 + n**2).\nAnswer: -29*n**3 - 15*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20842220 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*((j*((j\/j**(-2))\/j)\/j)\/j*j)\/j))\/j*j)**(7\/12))**25\/((j**(2\/13))**(-7))**(10\/3) assuming j is positive.\nAnswer: j**(-1715\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*-5000*740\/4. Round a to the nearest one hundred thousand.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 6 = h, 0*d + 2*d - h + 4 = 0. Let y be (-1)\/(d - -2) - 0\/(-6). Is y at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nppnn. What is prob of sequence pp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (240 - 8) + (6 - 8). Calculate the highest common divisor of 30 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -66*w + 1375. Calculate r(21).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/99*48\/(-10) - 2016\/(-3696). Factor -8\/5 + 11\/5*v**3 - 12\/5*v + 6\/5*v**4 + n*v**2 + 1\/5*v**5.\nAnswer: (v - 1)*(v + 1)*(v + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007182863 rounded to four dps?\nAnswer: 0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12, 43, 122, 273, 520, 887, 1398?\n\"Answer: 4*w**3 + 3*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 4*m + 12, -j - 19*m = -21*m - 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126)\/9*39\/(-52)*(-2)\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 617726 - 2381951475\/3856. Find the common denominator of -75\/28 and v.\nAnswer: 26992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26*-66.94\nAnswer: -1740.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 4, -11 in ascending order.\nAnswer: -11, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-416)\/80)\/((-12)\/30)*-1\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/(-8))\/(5\/20). Suppose -3*n = -x*n + 8. Let m be (48\/(-18))\/(n\/(-6)). Solve -2*b - 8 = -m*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 3. Let g be l(-1). Let b(d) = 9*d**2 - d + 12. List the prime factors of b(g).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**3 - 85*o**2 - 142*o - 540. Give c(-41).\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 78255 times -20?\nAnswer: -1565100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 + -4*30\/(-24). What is the tens digit of 1 + n + -3 + (-16 - -139)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -616368.65 rounded to the nearest 100?\nAnswer: -616400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74134164?\nAnswer: 2, 3, 13, 475219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 85411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1755, -67, -490 in increasing order.\nAnswer: -490, -67, -2, 1755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20101 + 33?\nAnswer: 20200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**(-1\/2)*d)**(-2\/79))**11)**(-27))**(21\/5) assuming d is positive.\nAnswer: d**(18711\/395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.077 - 34219545.\nAnswer: -34219544.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 266*p**2 - p + 1. Suppose 3*m + 0 = 3. What are the prime factors of t(m)?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 4:56 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -10. Let g = y + 4. Which is the second smallest value? (a) g (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -284754 - -17?\nAnswer: -284736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1554 - 1?\nAnswer: 1553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 2 - (54 - (186 - 55))) + -10?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 3 = 2*k, 0 = -3*k - 6*j + 8*j - 24 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 5*a - 12 - 3, -4*a = 5*y - 12. Suppose -a - 3 = -2*r. Is 63\/r - (-3)\/1 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*w - 29692 = 0. Let c = -4344 + w. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2374 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*i**2 - 20*i + 14*i**2 + 18*i.\nAnswer: -58*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away -543.066?\nAnswer: 540.066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -9*f**4\/4 - 9*f**3\/2 + 60*f. Find the second derivative of u(i) wrt i.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2*3\/2*72\/27*-3?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8719, 10000, 13471, 20224, 31351?\nAnswer: 47944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25*0.07.\nAnswer: -1.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 5:13 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/250 and 127\/1800.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75706344 by -4.\nAnswer: -18926586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(99) - (-1 + sqrt(99)*3 + sqrt(99)))**2*-3*-6)*-5.\nAnswer: -80265 + 1620*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -150.2 (b) 1 (c) -323\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36*11\/(-242))\/(-3).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - -1)\/(10\/(-610)). Suppose 3*y = c + 47. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5 = -i, 5*c - 3*i - 16 + 1 = 0. Let u be (c\/(-6))\/(-2 - -1). Suppose u = 3*t + 3 - 9. Solve -g = g + t for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjejejeej. What is prob of picking 3 j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, i: 2, p: 4}. What is prob of sequence rpi?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21373, -21377, -21379, -21379?\n\"Answer: b**2 - 7*b - 21367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/3 - 2286\/(-27). Suppose -3*q + i = 5*m - 8, 0 = -3*q + 12. Suppose 0 = -4*d + 5*d - 10. What is the remainder when m is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 160.98 + 17.22. Let c = 220 - t. Round c to 0 dps.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 424.\nAnswer: -5\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2900480, -5800914, -8701348, -11601782, -14502216, -17402650?\nAnswer: -20303084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 289997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from njjtnvvmmnvn. What is prob of sequence mvvm?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.336 + 0.239. Let p = 43.903 - b. Let c = p - 49. What is the nearest to 2\/15 in -4, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 7*a**3 - 2*a**2 - 2*a. Let d = -2185 - -2194. Let w(h) = 27*h**3 - 9*h**2 - 9*h. Calculate d*l(k) - 2*w(k).\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.8092 to the nearest integer.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102 by 6.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.03 + -0.03. Let l = 8 - o. Let v = -0.6 - -0.1. Put l, v, 5 in decreasing order.\nAnswer: 5, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (g - 3*g + 4*g + 10)*(4 - 2 - 4 + (33 - 3 - 2)*(-1 + 2 + 1) - 1 - 3 + 5) as r*g + a and give r.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - t + 0*t)*(4 + t**2 - 4) + (0*t**2 - 3*t**2 + 2*t**2)*(0*t - 2*t + 0*t) + 29*t**3 + 16*t**3 - 13*t**3.\nAnswer: 33*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.59 - 1.5. Are 0.1 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -612 = -n + 3*b, -5*n = 2*b - 3017 - 94. What is the highest common divisor of n and 138?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1277 >= -1231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11700 = 59*m - 57*m. Let r = -8320 - m. Round r to the nearest one hundred.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1442050 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: Suppose d = 4 + 1. Suppose -d = -2*x - 3*r + 15, -3*x - 2*r = -20. Solve x*l - 4 = -0*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*m**2*q - 12148*m**2 - 8*m*q - 1677*q - 70563 wrt m?\nAnswer: 10*m*q - 24296*m - 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 8173*o - 5 - 4071*o - 4089*o + 6 + 5. Suppose -5*d - 4*w = 10, -7*d + 2*d + 5*w = 55. Let u(a) = 12*a + 5. Give d*u(c) + 5*i(c).\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 7199598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 12:31 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4884 to two dps.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 + -42. What is the tens digit of (-1050)\/i + (-2)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -0.5, 133.2?\nAnswer: 133.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 2*x - 115, -2*u + 34 + 26 = -2*x. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 985493 - 146543 = 119*x. Does 15 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k - 22. What is q(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 divided by -121?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or -74?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*m - 2 + 2 + (-1 + 2*m + 1)*(0 - 1 + 3) + 0*m - 2*m + 4*m + m - m - 4*m + (5 - 5 - 2*m)*(-5 - 6 + 4) - 4*m - m + 3*m + 2*m + 2*m - 3*m.\nAnswer: 23*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 7*o + 3. Let y be p(-7). Suppose -3*l + 16 = -5*v, 4*l + y*v = -v. Let a = 7 - 5. Solve -q + 2 = x, -4*q - l = a*x - 3*x for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33114 is divided by 69.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = l + 19. Calculate the greatest common divisor of 12 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 21 = 13*z. Suppose 885 = 4*u - 3*a, 2*u + 4*a + z = 491. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 408, 805, 1194, 1575, 1948, 2313, 2670?\n\"Answer: -4*a**2 + 409*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - -9. Find the third derivative of o*m**2 + 2*m**3 - 3*m**3 + 2*m**3 wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 5. Let z be 2\/10 - (-147)\/(-35) - -4. Determine r(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8c80 (base 14) in base 16?\nAnswer: 5f60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1434011 (base 5) to base 9\nAnswer: 45755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-24) - (48 + (-69919)\/1508)?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-145)\/116*(570\/(-325))\/(-19)\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 24229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3606.7 centuries to millennia.\nAnswer: 360.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 702 + -680. What is the least common multiple of 23 and x?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*q + 17*q + 12*q**2)*(8*q + 14*q - 5*q) in the form v*q + x + j*q**2 + a*q**3 and give a.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 4*v + 8. Let r be k(4). Let m be r\/(-24) + (-2)\/6. Let x = -0.3 - 1.7. What is the closest to m in 0.4, x, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rjjr. What is prob of sequence jrjr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 45\/(-6)*(-8)\/10. Suppose 2*p = -2, -3*u - 3*p = -0*u - j. What is the units digit of (u\/6)\/((-2)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.659, 2.62, 25\/2 in descending order.\nAnswer: 25\/2, 2.62, -0.659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -14022233?\nAnswer: -14022225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -334 + 1232?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 1 - 21 = 0. Let m be (-10)\/b*36\/30. Solve m*g - g + 6 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - z + z**2)*(-1 + 72*z**2 - 3*z**3 - 72*z**2).\nAnswer: -3*z**5 - z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 - 4*d + 2. Let m be w(2). Solve 3*p + 2*c = 0, 0*p + m*p = 3*c for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -166 - 26?\nAnswer: -18c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 1:37 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**2 + 22*n - 17. Let p be r(5). Solve 3*o + p - 12 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (433 + 962*m - 963*m + 335)*(3 + 0 - 5)*(1 - 2 + 2).\nAnswer: 2*m - 1536","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5 = 25. Suppose 6 = -v + f, -5*f + f + k = 0. Let x = v - -1\/2. Which is greater: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -7*h - 73. Let r be i(-11). Suppose 0 = r*j + z - 300, -24*j + 28*j = 4*z + 280. What is the remainder when 221 is divided by j?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 4*j**2 - 3*j - 6. Calculate a(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 2*i = -18, 0 = 5*b - i - 76662 + 76643 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110021 - -2?\nAnswer: -110012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 793\/7 + -113. Let s be 30\/63 + 2\/(-6). What is the closest to k in 0.3, 0.1, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 990 and 30.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2739*x + 425*x + 2674*x - 9362 = 43180 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -217*f**4\/4 - 65*f**3\/3 + 2*f - 393. Find the second derivative of h(t) wrt t.\nAnswer: -1302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 110471 or 16349823\/148?\nAnswer: 16349823\/148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g. Let r(z) = 604*z + 6. Let t(s) = -1813*s - 17. Let k(i) = 17*r(i) + 6*t(i). Determine k(c(a)).\nAnswer: 1220*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26\/195*(-5)\/(-4). Let m(i) be the second derivative of -3*i + 1\/10*i**5 + 0 - 1\/15*i**6 + 0*i**2 + w*i**4 - 1\/3*i**3. Determine k, given that m(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 - 4)*(5*d - 4*d + d)*(71796 - 1135*d**2 - 71796) to z*d**2 + r + k*d + q*d**3 and give q.\nAnswer: 13620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tsts when four letters picked without replacement from {t: 5, s: 9}?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/161768 and 85\/2216?\nAnswer: 161768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 66*v**2. Let y be 7\/(-2)*2528\/(-56). Let g(h) = -y - 3*h**2 + 158 + 2*h**2. Give z(g(c)).\nAnswer: 66*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 283, 4\/9, -26?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61485323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 126, -58 in descending order.\nAnswer: 126, 6, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-90) - (4284\/210 - 6\/20)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 4*s**2 + 3*s - 7. Let k be p(-5). Let o(d) = k*d - 5*d - 2 + 3*d. Let q be o(9). Solve q*r = 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/5905 + -5993\/259820. What is the smallest value in -0.05, r, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*58\/(-13311))\/((-78)\/221).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 10*o**2 + 5*o + 5. Give x(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 8 + 9)*(-5*r**2 + 8*r**2 - r**2).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j - 8*j + 112720. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 5*t + 120. Suppose -2*s + t = 2*s. Calculate the highest common factor of 5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 37.5 or 197?\nAnswer: 197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*v + 2*u + 66, -5 = -v - 5*u. What is the highest common divisor of 220 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 1, 3 in decreasing order.\nAnswer: 3, 1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 4. Let l be n(-2). Suppose l = -4*i - 314 + 918. Calculate the remainder when i is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74442818 + 0.0872109.\nAnswer: -74442817.9127891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w + 4. Let x be l(2). Let c be (6\/(-5))\/(4\/(-10)). Suppose -s = c*s - x. Sort s, -1, 5.\nAnswer: -1, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15888 + -15888. What is the third biggest value in z, 3, -207?\nAnswer: -207","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12815 and 404255.\nAnswer: 1165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -8*a**2 - 15*a - 7. Give z(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7194204 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -7*s**4\/24 + 5*s**3\/6 - 2*s**2. Let y be w(-4). Suppose -5*x + 22 + y = 0. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 670737569 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/6*-3 - 1. Let n be (6 - 9)*k\/(-1). Let v = 1.9 + -2. What is the closest to v in -3\/2, n, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23 - 6?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 1. Let s(x) = x**2 + 2*x - 87. Let f(t) = s(t) + 3*y(t). Let i be f(0). Let l = 124 + i. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**6\/120 - m**5\/15 + m**3\/3 - 5*m**2\/2 - 2. Let i(u) be the second derivative of r(u). Determine i(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394839417.\nAnswer: 3, 7, 197, 95441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 63 = 23. What is the highest common factor of 8 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -3708, -430\/11, -2?\nAnswer: -430\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lojzwlzlzwlbjll. What is prob of picking 1 w, 2 l, and 1 o?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*h = 3842, -4*w = 722*h - 727*h - 7648. Calculate the highest common factor of w and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 18*k**2 + 2*k + 41. Give g(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 47*z**2 + 61*z - 9. Is 3 a factor of b(-49)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 6 = -3*m, -2*u - 3*m = 23 - 20. Sort -5, -24, 12, u, -3 in decreasing order.\nAnswer: 12, u, -3, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**2\/3 + 48625*s\/3 + 16208 = 0.\nAnswer: -48624, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -7*i**3 - 3*i**2 - 14*i + 2. Let f(u) = -7*u**3 - 4*u**2 - 12*u + 2. What is 6*c(s) - 7*f(s)?\nAnswer: 7*s**3 + 10*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 42878266 to the power of 1\/2, to the nearest integer?\nAnswer: 6548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 41086 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 3*o**2\/2 + 6019. Let b(q) = 17*q + 5. Calculate g(b(y)).\nAnswer: 51*y + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3.1 (b) -4 (c) 0 (d) -5 (e) 4 (f) 311\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/10)\/(106\/265)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37.07 - -37. What is the fourth biggest value in x, -0.1, -1\/2, 2\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - h = -32, -d + 4*d = -2*h + 34. Let w = -10 + d. Factor 0*p + w*p**3 + 1\/4*p**4 - 1\/2*p**2 + 1\/4.\nAnswer: (p - 1)**2*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -41, -58, -71?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72285 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r. Let d(q) = -16*q. Let i(l) = 2*d(l) + 11*z(l). Let f(s) be the first derivative of 3*s**2\/2 - 19. Give i(f(h)).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32020000 divided by -5000.\nAnswer: -6404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4+73580984254621\nAnswer: 73580984254625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5142 + 0.4102. Which is the biggest value? (a) 0.9 (b) 4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 4) to base 12\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28568265.99975 - 28587786. Let w = -19523 - o. Let m = w + 3. Round m to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17, 70, 143, 224, 301?\n\"Answer: -2*y**3 + 22*y**2 + y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6*6\/24426*23\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 3 - (-56 + 52).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(7)*2)**2 + -3 - ((sqrt(12)*4)**2 - (sqrt(3) - (sqrt(27)\/(sqrt(18)\/sqrt(2)))**2)).\nAnswer: -186 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 16*a**2 - 15*a + 12. Let i be f(-15). Suppose 2*n = -5*w - 2*n + i, -12 = -4*n. Solve w = -4*k + l, 0 = -k + l + l for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.34 - 0.06. Let z be (-2)\/5 - 1\/5. Let a(p) = -p**2 + 5*p - 1. Let s be a(4). What is the nearest to 1 in h, s, z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.12 + -10.12. Let d be 36\/21 + 1*-2. What is the closest to -0.1 in u, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.08 - 1. Let x = -593 - -393. Let o be 10\/24 - 50\/x. Which is the second smallest value? (a) -4 (b) d (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2 (b) -3 (c) 0.5 (d) -1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -107*d**2 + 8*d + 2. Let g(b) = 216*b**2 - 15*b - 4. Calculate -4*g(i) - 7*o(i).\nAnswer: -115*i**2 + 4*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -24. Suppose -f*y + 1 = 5*j, -5*j = -2*y - 3*y - 10. Solve u + 4 = j for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-1209)\/455)\/((-33)\/(-154)*-1).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a millennium?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d - 107 + 78 = 153 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -220 - -1171. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 0. Suppose 4*i = 5*n - 20, d*i - 8 = n + 4. Let y be ((-10)\/4)\/((-4)\/n). Solve 5*w = -y*o + 40, 0 = -3*o + o + w + 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21183939 is divided by 8980?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + g - 7. Let t(h) = h**2 + 5*h - 6. What is the remainder when (1 - (0 + 6)) + 44 is divided by t(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of l**5\/20 - 13*l**4\/12 + l**3\/6 - 3*l**2 + 595*l - 14. Suppose 2*j - 46 = 4*u, -5*j - 38 + 123 = -4*u. Calculate a(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-5) - 64\/(-10). Suppose -4*t = h + 55, 4*t + s = t. Let d = h - -102. Is d 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 jsjsjjjssjjsjssj. Give prob of picking 2 j and 2 s.\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 12:36 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 330 and -13.55.\nAnswer: -4471.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 + 225*m + 1679. Determine b(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -29 (base 15) to base 5\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 53.2569 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 40 = -116*j - 144, 0 = -4*j - 3*v - 13 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - y + 58. Let j be v(5). Let t be ((-302)\/j - -11)*(50 - 2). Determine p so that -2\/7*p**2 - t + 24\/7*p = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 322219 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -5584194 less than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -534, -2135, -4802, -8535, -13334, -19199?\n\"Answer: -533*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1938480647 a multiple of 331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 43989574.79 from -6805.\nAnswer: -43996379.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -20, 107, -3, 9, -2.\nAnswer: -20, -8, -3, -2, 9, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/44? (a) 9296 (b) 0.2 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 477104.\nAnswer: -477104.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w + 5*w - 4*w)*(-3 - 1 + 2 + (-3 + 1 + 1)*(-3 - 1 + 3)) to the form y + h*w and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -57.61.\nAnswer: -57.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 22. Let h(i) be the third derivative of 0 + 1\/8*i**4 + 0*i - 232*i**2 + 0*i**3. Determine h(f(p)).\nAnswer: 3*p + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/318 and 83\/12.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2958)\/(-4)*(50\/(-15))\/(-5). Suppose j + t + 2*t = 103, 0 = -5*j - 4*t + w. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3060136 nanograms in micrograms?\nAnswer: 0.0003060136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144, -260, -350, -414, -452, -464, -450?\nAnswer: -410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -9, 5, -60.\nAnswer: -60, -9, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(17)*1 + -1.\nAnswer: -3 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 180, -0.1, -24, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129 divided by 95.\nAnswer: -129\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39836875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 4:28 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5069063 to the power of 1\/3, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86705 = -16*s + 75743. What is the ten thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17931?\nAnswer: 3, 43, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*f*j**3*k**2 + 5*f*j**3 - 14*f*j**2*k**2 + 1358*f*j*k**3 + 1918*j**3*k**3 - 86*j**2*k + 52*j*k - j - 5*k**3 wrt k?\nAnswer: 8148*f*j + 11508*j**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and 140372254652.\nAnswer: 140372254655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven fifths of a litre in millilitres?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 44*f**2 - 7*f - 49*f**2 + 5 - 18. Let o = 16 + -9. Calculate the remainder when 142 is divided by a(o).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1512*x**2 + 2204*x.\nAnswer: -3024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/16*(216\/(-15))\/12.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*l**2 - 28*l**2 + 411*l**3 - 410*l**3 + (164*l**2 - 44*l**2 - 78*l**2)*(2 - 2 - 2*l).\nAnswer: -83*l**3 - 43*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + sqrt(288)*-1)**2 + (sqrt(32) - (sqrt(32) + (sqrt(1568) + (sqrt(1568) - (1*sqrt(1568) + sqrt(1568))) - sqrt(32)))**2).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 1 = 5*l + 29, 0 = -4*o - 4*l - 32. Let s be (18\/o)\/2 + 11. Solve 7*n - 9*n + s = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a meter in millimeters?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2595 and 12975?\nAnswer: 12975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 6\/101352755?\nAnswer: 6\/101352755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/52*(-56 - (-2 + -4)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-10)\/6 - -2) + 22\/((-660)\/(-2210)) is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2204)\/145 - 140\/((-252)\/18).\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*b - 30, 2*f + 3 = -5*b - 0. Suppose 4*c - 4*j = 0, 5*c = 3*j + 5 - 1. Calculate the greatest common factor of f and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 + 107608*g - 723717604.\nAnswer: -4*(g - 13451)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 706, -5, 1778, -2, -4, -1 in decreasing order.\nAnswer: 1778, 706, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2376433*c**2*p**3 - 75*c**2*p + c**2 + 4*c*p**2 - 10 wrt p.\nAnswer: -14258598*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 892?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 162 + -177 + -3 + 56 + -20\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of n**5\/20 - n**4\/3 - 3*n**3\/2 + n**2\/2 + 9*n - 3. Let o(c) be the first derivative of q(c). Is o(6) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 14, 23, 32, 41, 50?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - (3\/(-2) + (-623)\/(-126)). Are s and -25 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -25 (b) -6 (c) -826 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 228285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 10)*(-7 + 4 + 1)*(-2*d - 2*d + 2*d).\nAnswer: 32*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -66184, -66124, -66058, -65986?\n\"Answer: 3*v**2 + 51*v - 66238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 391811 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + (-6*(sqrt(102) + sqrt(102)*1) - sqrt(102)))\/((sqrt(6) - sqrt(54))*-1).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from trtyyr. What is prob of picking 2 r and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 6 + 4 + 5 - 3 - 3 + (4 + 1 - 4)*(0 + 0 + 2))*(1 + 0 + 0)*(-3*v + v + 0*v).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 285625 by -11425.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*u - 14 + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-14))\/(1\/(32\/((-3200)\/(-70)))).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: -1477.5552307 + -28\nAnswer: -1505.5552307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**7\/70 + 3*z**6\/40 + z**5\/20 - 3*z**4\/8 - z**3 - 16*z**2. Determine b so that v(b) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 825 and 2175.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.054, -6\/7 in decreasing order.\nAnswer: -0.054, -6\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -188 - -219. Let b(f) = -7*f + 226. Let z be b(g). Solve 9*w + 0*w = -z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396) + -5 + sqrt(44) - (sqrt(44) + sqrt(44) + 5*sqrt(704)).\nAnswer: -36*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1301674944 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*z**3 - 18*z**2 - z.\nAnswer: -z*(z + 1)*(17*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 264*v**3 + v**2 - 8*v + 5. Let w(i) = -786*i**3 - 3*i**2 + 22*i - 14. Determine 11*f(d) + 4*w(d).\nAnswer: -240*d**3 - d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 21) + 0 + 3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*z - 3. Does 45 divide (-74 + 15)*(z + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 104.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 91 - 88. Let v(y) be the second derivative of -y**5\/120 - y**4\/12 - y**3\/6 + 3*y. Let b(q) be the second derivative of v(q). Give b(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*k**2 - 2*k**2 + 3*k**2)*(-4 + 0 + 0) + 7*k**2 - 2*k**2 + k**2 to v*k + y*k**2 + o and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**2 - 4*r**2 + 4 + 11*r**2 - 397*r - 6*r**2.\nAnswer: -5*r**2 - 397*r + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-12) - (-2387)\/3. Is (h\/6 + -4)*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16108341 rounded to the nearest ten thousand?\nAnswer: 16110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2044780 divided by -1?\nAnswer: 2044780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -213 + 2181*n**2 + 213 - 8110*n**2 + (2 + n - 2)*(-2*n + 2*n + n).\nAnswer: -5928*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of 0 + 3*p - 2\/5*p**2 - 1\/15*p**3 - 1\/10*p**5 + 4\/15*p**4. Let j(m) = 0. What is m?\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/10 or 0?\nAnswer: -13\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (6 - 306\/48) + 550333\/56?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 199*f**4 - 11*f**2 + 15*f - 214. Let z(t) = 100*t**4 - 6*t**2 + 8*t - 107. Let q(n) = 6*k(n) - 11*z(n). Find the second derivative of q(v) wrt v.\nAnswer: 1128*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 90832 - 90831. Let d = 429 + -681. Let t be (-4)\/18 + (-110)\/d. Are c and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 4\/7 (c) -91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -0.08, 2, -4, 0.4 in decreasing order.\nAnswer: 7, 2, 0.4, -0.08, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 6*q - 1. Let h be v(-7). Let r = 14 - h. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 22*w**2 + 17*w - 45. Does 39 divide m(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**2 - 130*g**4 + 133*g**4 - 2*g**3 + g + 8*g**2 to m*g**2 + h*g**3 + r + s*g + d*g**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**3 + 7*o**2 + o. Let r be -1*1*-9 + -3. Let w(g) = -2*g**3 - 8*g**2 - g. Calculate r*u(p) + 5*w(p).\nAnswer: 2*p**3 + 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6976 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27331, -27888, -28445?\nAnswer: -29002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 16\/3 + 34\/3*n + 20\/3*n**2 + 2\/3*n**3 = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/450 and -77\/23750?\nAnswer: 213750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-2\/3))\/b)**(5\/14)\/(b**(-4)\/b**(-1\/4)) assuming b is positive.\nAnswer: b**(295\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1061 greater than or equal to 2.982?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -r - 2*r + 5, 0 = -2*q + 5*r + 33. Suppose 3*b + q = 4*b. Solve x + 2*u + 5 = -b*x, -3*x + 2*u - 3 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 4:45 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 4. Let w(o) = -3*o - l*o + 3*o. Let v(s) = -s - 7*s + 24*s - 9*s. Calculate v(w(a)).\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 79.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*q + 2*q - q)*(-1 + 1 + 2) + 2*q + 1 - 1)*(9*q - 136*q - 139*q).\nAnswer: 532*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1655 = 5*x + 5*j, -9*x - 2*j = -13*x + 1294. Differentiate 2 + x*i**3 - 326*i**3 - 24 + i**4 - 98*i**2 with respect to i.\nAnswer: 4*i**3 - 196*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/5 + 590\/(-25) + 81 + -60\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -778720, -778729, -778738, -778747?\nAnswer: -778756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -63 times 0.2\nAnswer: -12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*a - 46 = 42*a - b, 3*a - 3*b = 78. Suppose -15*w + a*w - 45 = 0. Solve 5*p - w = -3*y, 4*y - 6*y = -p - 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**3 + 33*p**2 + p - 11. Let a be w(11). Suppose i + 19*i - 60 = a. Solve k - 11 = -2*g, -3*k = -i*g + g + 7 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 752137, 1504272, 2256407, 3008542?\nAnswer: 3760677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1)*8\/2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 339971788?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = -172*r + 181. Do 4\/2313 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -23*r + 21*r - 4*v, v = 3*r - 6. Let t(q) = -q**2 + 2*q + 12. Let l be t(4). Solve -l*o + 2*b - 1 = 3*b, r*o = 4*b + 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 + 5*o + 15. Let i be n(-10). Let y be (-58)\/15 - 22\/i. Which is the nearest to -0.1? (a) 3\/5 (b) -2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 10:51 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/74 and -15\/148.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4770 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2.330692 * -1\nAnswer: -2.330692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 666, 730, 818, 930, 1066, 1226, 1410?\n\"Answer: 12*s**2 + 28*s + 626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -37*n**2*z**2 + 2*n**2*z + 1216*z**2 wrt n.\nAnswer: -74*n*z**2 + 4*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 308292418 to the power of 1\/4, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73.17750025 - -73.0975. Let i = a + 0.08. What is i rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7d8 (base 15) in base 4?\nAnswer: -123302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 7*k + 40. Calculate u(-12).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*((609 - 27*d - 609)*(0 + 3 - 1) + (2*d + d - 5*d)*(5 - 2 - 2) + 2*d - 2*d - d).\nAnswer: -114*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.01 (b) 3\/4 (c) 5 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6095975121?\nAnswer: 3, 677330569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67487070*h**3 - 2*h**2 - 2*h + 4661189 wrt h.\nAnswer: 404922420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6850ac (base 13) to base 4.\nAnswer: 21122120231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*i - 55 = -0*i - 29*i - 289 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -9*y**3 - 15*y**2 + 3*y - 1. Let s be f(-2). Solve -13*z = -12*z + n - 1, s*z + 2*n + 1 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a + 2*a)*(-4 + a**3 + 4) - 52*a + 15*a**4 + 7*a**4 - 25*a**4.\nAnswer: -a**4 - 52*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 0)*(-4)\/(-12). Is 706 + g + 3 + -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(160)\/(sqrt(200)*1).\nAnswer: -8*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -3*g - 20. Sort g, 0, -0.5, -7 in ascending order.\nAnswer: -7, -0.5, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -12. Let z(i) = 7*i + 2. Let a(h) = -13*h - 5. Let n(t) = u*a(t) - 5*z(t). Is 10 a factor of n(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 31. Let o = -6 - r. Which is bigger: -0.1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -3*w**5\/20 + 5*w**2 + 9*w - 10. Let n(d) be the first derivative of x(d). What is the first derivative of n(f) wrt f?\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 231 - 17 = 3*z, 0 = -5*z - 3*a + 318. List the prime factors of (-2)\/(-5) + z\/10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.3, 1624?\nAnswer: 1624","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1398.87 less than -0.1?\nAnswer: -1398.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40819 or 39514?\nAnswer: 40819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 301358672.\nAnswer: -1\/150679336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 0*h**2 - 9*h + h**2 - 2*h**2 + 11. Let p be g(-10). Let x = p - -1. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((d + 0*d + 2*d)*(-4*d - d + 4*d) + (0*d + 2*d + 0*d)*(-2*d + 1 + 3*d - 5*d))*(-10*d**2 - 11*d**2 - 15*d**2).\nAnswer: 396*d**4 - 72*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or -2.377?\nAnswer: -2.377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1597?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2299622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*h + 7101, -17*k + 3*h - 3567 = -18*k. What is the thousands digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 11:16 AM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xccf when four letters picked without replacement from xxfninicxin?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 40999727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1466*-1.6\nAnswer: -2345.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -17525*125\nAnswer: -2190625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1, -9, -13, -5, 21, 71, 151, 267?\n\"Answer: n**3 - 3*n**2 - 8*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d + 18. Let o be -4 + (-3 - (6 + -3 - 2)). What is z(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 149*p. Let i(s) = -130*s**2 + 78*s - 117. Let o(b) = -7*b**2 + 4*b - 6. Let q(x) = -2*i(x) + 39*o(x). Determine t(q(k)).\nAnswer: -1937*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*m - 16, -3*m + 9 = -3*z - 0. Suppose a + z + 5 = -5*c, -4*a - 4*c = 44. What are the prime factors of (-369)\/a + 2\/8?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6106717 (base 8) to base 15.\nAnswer: 21bbcc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 175462\/15 + -11693. Let t = -2896\/1557 - 5\/173. Find the common denominator of f and t.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -2*q**7\/189 + 94*q**6\/135 - 1024*q**5\/135 - 7480*q**4\/27 - 3872*q**3\/9 + 7*q**2 - 19*q + 3. Let z(v) = 0. Calculate v.\nAnswer: -6, -2\/5, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 37, 1407, 5377, 13243, 26301, 45847, 73177?\n\"Answer: 216*p**3 + 4*p**2 - 154*p - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 433*q**2*t - 27*q**2 + 3 wrt t?\nAnswer: 433*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l - 4. Let k be p(5). Suppose -5*b + 4*i + 4 + 14 = 0, -4*i = -4*b + k. Differentiate -13*g**3 + 10*g**3 - b - 3 wrt g.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 976 and 32?\nAnswer: 1952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 6 + a - 19*a**2 - 11*a**2 - 5. Let u be d(-1). Let o be (-20)\/u*(-1)\/11. Which is greater: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/(-63) + (-7)\/((-105)\/(-10))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 20407?\nAnswer: 550989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 6*a + 3. Let j = 43 + -19. Suppose 7 = -y + j. Calculate the remainder when y is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/8 and -53\/280.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q**2 - 3*q + 3. Determine c(3).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -15337.9.\nAnswer: 61351.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4061 and 11939602?\nAnswer: 370127662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/5 + -2 - (-264)\/(-385).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 7007601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 28 divided by 106\nAnswer: 14\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -1 - -1 - (-11 - -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -20 - -4) + (-3 - 4) - 35?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 2. Suppose -34*b + 31*b = -6. Suppose -14 - b = 4*w. Let l(u) = -u - 1. Determine w*l(s) - 3*d(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 852464767?\nAnswer: 7, 11, 127, 179, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 10*z**2 - 53*z - 123. What is the remainder when f(-5) is divided by 130?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -46008867 (c) 0.1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-2))**(-6))**(-1\/63))**(-3) assuming p is positive.\nAnswer: p**(4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -35 + (-2)\/(-2)*1. Let v = -17 - z. Calculate the highest common divisor of 85 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 13.78. Let g = -10.22 - v. Let l = g - -9.5. Which is the biggest value? (a) -1\/3 (b) 4\/7 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -5*t**2 - 5*t + 2. Suppose -4*j + 3 = -3*j. Let f be n(j). Let h = f + 116. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 149943067?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/5, 0.3, -18\/97, -2\/5 in descending order.\nAnswer: 5, 2\/5, 0.3, -18\/97, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5440*s + 2571 = 4583*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/8)\/(2 + (-20)\/16). Sort 0.9, -0.3, 3, a in ascending order.\nAnswer: -0.3, a, 0.9, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 9*k**2 - 10*k + 17. Let w(f) = 2*f + 36. Let y be w(-23). Is 4 a factor of m(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -1. Let v(j) = j**3 - 8*j**2 + 3. Determine -3*h(a) - v(a).\nAnswer: -a**3 + 8*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11 + 1 + -1 + -1. Suppose 5*n = l + 85, -n = -6*n - 5*l + 85. Let p be n\/2 - 2\/4. Solve 0 = 2*h - a, 3*h - p = f + 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 10*r + 29. Let q(f) = -1. Let o(x) = g(x) - 6*q(x). Calculate the remainder when 54 is divided by o(8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10728 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 3\/5*x**5 - 426\/5*x**4 + 18471\/5*x**3 - 237708\/5*x**2 + 934092\/5*x.\nAnswer: 3*x*(x - 62)**2*(x - 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 235723.811 - 5.\nAnswer: 235718.811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -17*f**4\/2 - 4*f**3\/3 + 7*f**2\/2 - 13. Find the third derivative of t(z) wrt z.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.2 and 0.5.\nAnswer: 4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -5. Let f(q) = q**3 + 9*q**2 + 9*q + 3. Let t be f(-8). Let x be t + 7 + -10 + 7. Which is the biggest value? (a) r (b) 5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 5*c, 2*c + 2*c = -5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 20 - 273*a - 5 - 12 to w + x*a and give x.\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 123993 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-73)\/(-1 - -2). Let o = f + -71. Solve -z + o = -0*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*2.60085\nAnswer: -0.780255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -0.0189454?\nAnswer: 0.0378908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 11 - 12 = 0. What is the remainder when 45 is divided by r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 6*n + 10. Let r be u(5). Let o(l) be the first derivative of -3 + 7\/12*l**2 - 1\/30*l**r - 1\/3*l - 1\/2*l**3 + 5\/24*l**4. Solve o(z) = 0 for z.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 4:18 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 37*y**6\/30 + 137*y**5\/10 - 112*y**2 - y. Find the third derivative of w(a) wrt a.\nAnswer: 888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 6*m - 34 = -m, 17677*m = 2*x + 17676*m - 11 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11\/9, -4, -12, -101.7?\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 2 = -a. Suppose 34 = -2*y + a*y. Suppose 10 = -3*z + y. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 20862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13917, -12188, -10459, -8730, -7001?\n\"Answer: 1729*u - 15646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1868641.7 to the nearest one hundred thousand.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 216979282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p**3 + 3*p**2 + 1. Let k be w(-2). Let s = k + -48. Solve 0*c + s*c = -20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 - -7 - ((-2317)\/(-60) - 0). Let a = 161\/5 + j. What is the common denominator of (-1)\/18*85 + 2 and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1388 = 5*m - 4*b - 242, -5*b = -5*m + 1625. Is 1323\/4 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000042891 rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b + 5*b + 3 - 1322*b**2 - 2*b - 814*b**2.\nAnswer: -2136*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l. Let n(z) = -91188*z. Give y(n(a)).\nAnswer: -455940*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 3. Suppose a*p = p. Let l be (-3)\/(36\/8) - p. Which is smaller: l or 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(22)\/sqrt(2))**2 + sqrt(11) + 0 - (-1*sqrt(891))**2).\nAnswer: -882 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y*y*y**(2\/25)*y)))\/y*y**(-2))\/(y**(7\/3)*y*y**(-2\/13)*y*y) assuming y is positive.\nAnswer: y**(-4972\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.5 (b) -3\/5 (c) 1\/10 (d) -3032\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330259?\nAnswer: 17, 19427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -2. Suppose -2*d + 11 + 2 = -3*u, -17 = 2*u - p*d. What is the units digit of u*3*28\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.041 - 0.041. Put k, 4, -0.2, 0.2 in ascending order.\nAnswer: -0.2, 0.2, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.00879 and -608.\nAnswer: -5.34432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 3*f - 18. Let c be d(6). Suppose 2*b - v = -c*b + 7, 0 = -3*b - 5*v + 17. Suppose -b*l + 0*l = -12. Solve -j + l*j = 4, -3*m + 5*j = 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*s - 54, 3*g - 4*g = -3*s - 18. What is the highest common divisor of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -153216 and 72123.\nAnswer: -81093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42125804 by 1.\nAnswer: -42125804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1224\/16)\/(-51)*(-128)\/(-12)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7 + 16)*((-6)\/(-9) - 1). Let j be 1*-1*c\/((-18)\/(-1650)). Suppose 0 = -3*t - 8*t + j. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -258*d**3 - 5673*d**3 - 3569*d**3.\nAnswer: -9500*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 792 and 316829304?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1224 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: Suppose 3 = 5*g - 2. Let b be (6\/(-4) + g)*-8. Let q(z) = 2*z - 3. What is q(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7193.82 nanometers?\nAnswer: 0.00719382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3358318 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, a: 6, e: 1, n: 5, c: 1}. Give prob of sequence azae.\nAnswer: 5\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10243 is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - -0.3. Let o = u + -0.94. Let c = 0.7400117 + o. What is c rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 448729920 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21*l**3 + 14*l**3 - 2*l**3)*(-l + 3 - 3) + 4*l**4 + 0*l**4 - 2*l**4 to the form t + p*l**3 + o*l + x*l**4 + d*l**2 and give x.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 + 55 = 3*m. Which is smaller: -23\/11 or m?\nAnswer: -23\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s - 1. Let j(x) be the third derivative of -x**5\/60 + x**4\/24 + x**3\/3 + 2356*x**2. Calculate 2*j(t) + 3*n(t).\nAnswer: -2*t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1235)\/(-50) - 25)\/((-6)\/5)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 1918.\nAnswer: 5754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -10*y**3 + 21*y**2 + 34*y - 33. Calculate k(6).\nAnswer: -1233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 8*k**2 - 10 - 22*k**2 as d + a*k**2 + b*k and give a.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 + 0.3. Let q be (-8)\/6 - 20176\/(-11640). What is the nearest to q in 0.2, -6, j, 1\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*j + 812*j - 1047 - 38907 = 8020 for j.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 + 8*g + 5. Let f be d(-4). Let p(o) = -o**3 + 6*o**2 + 3*o + 5. What is the units digit of p(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 9 + 2 - 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 35, 60, 89, 122?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -0*n - 2*n - 391, 533 = 4*u - 5*n. Let l = u + -125. What is the second smallest value in l, 1\/4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**2 + 3*n**2 + 3*n**2)*(6 - 17*n**2 - 2 + 20*n**2).\nAnswer: 3*n**4 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-3)\/(-1)*-1)*(-8)\/(-28)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 7 = -8. Calculate the remainder when (-77 - -7)*(2 - 65\/25) is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**3 + 2*n**2 + n + 2. Determine z(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 11*i**2 - 12*i + 3. Let h be k(12). Suppose 4*c - 5*c = -h*j + 3, 5*j = c + 7. Which is smaller: 5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11642 is divided by 43.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 2*v**2 + v + 18. Let l be m(0). Let p be -4 + 3*30\/l. Sort p, -13, 4 in increasing order.\nAnswer: -13, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211 - 626 + 210 - 503*c + 205.\nAnswer: -503*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 7*a**2 - 3*a. Let q(j) = -56*j**3 - 2*j**2 + 2. Let t be q(-1). Let w = t - 42. Calculate the least common multiple of w and r(6).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d + 0*d + 2*d - 3. Let f be l(-3). Let u be 1*0\/1 - (10 - 13). Which is the closest to f? (a) 2\/7 (b) u (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 239.432 or 2?\nAnswer: 239.432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -8*p + 4. Calculate h(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.12 (b) 13 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.08, 0.3, -2\/161, -2\/21, 2, -16.2?\nAnswer: -2\/161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(1\/8)*f\/f**13)**(-21)\/((f**(-2))**(1\/53)\/((f\/f**3)\/f**(3\/7))) assuming f is positive.\nAnswer: f**(608393\/2968)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -2 (b) -29191 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1506 is divided by 61.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 20, 61, 1540?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + 3 - (-25 + 31). Solve f = 2*d - 15, -4*d + f + 25 = -v*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 169847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -10*((-4)\/4 + -1). Suppose 2*y - 20 = -0*y + 4*x, -2*x + t = 4*y. What is the remainder when 9 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 5:11 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 667*g = 692*g + 170 + 30 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 7:43 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57.6 + 57. Let t = 0.54 + v. Let s = -0.06028 - t. What is s rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 5:32 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*j**3 + 8*j**2 + 5*j**2 - 16*j**2 - 3 + 4*j**2 - 3*j to the form q + u*j**3 + k*j + f*j**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 501923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-6)*(-8)\/(-3). Suppose 33 = 4*a - 5*k, 0*a + 4*a - 13 = k. Solve 0 = 3*j - a*l + 7, 4*j + z*l = j + 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 3*k**2 + 5*k + 109. What is z(0)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 4*m**2 + 6*m. Let y(b) be the third derivative of b**6\/120 - b**5\/15 + b**4\/4 - 7*b**3\/3 - 253*b**2. Let h be y(3). What is d(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.984 + 0.016. Sort 2\/3, 1\/12, u in descending order.\nAnswer: u, 2\/3, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/8)\/((-1)\/32). Let l = r - -6. Calculate the remainder when l is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*r + 2 - 1 - 55*r - 64*r - 77*r.\nAnswer: -32*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/3 + (-16)\/48. Suppose 0 = -n*d - 4*d - 6. What is the units digit of ((-16)\/(-6))\/(d\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**2 + 24*m - 2. Determine n(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**3 + 9810*n**2 - 12024606*n - 12034418 = 0. Calculate n.\nAnswer: -1, 2453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/6*r + 5*r**4 + 1\/3*r**3 + 5 - 1\/6*r**5 - 10*r**2 = 0. What is r?\nAnswer: -1, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -7. Calculate the remainder when 105 is divided by (-20)\/(-70) - (-374)\/u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14753, 29538, 44323, 59108, 73893?\n\"Answer: 14785*f - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 33\/5 of a centimeter?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86103, -86101, -86099?\nAnswer: -86097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -2.9. Let l = 0.3 + p. Let k = -61\/21 - -18\/7. Which is the closest to 0.1? (a) 0 (b) l (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**5 - 2*w**5 + w**5 + (-2*w + 6*w - 3*w)*(-2*w**4 + 6*w**4 - 2*w**4) - 22354*w**3 - 51*w**5 + 22354*w**3.\nAnswer: -48*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -977 + 30*d**2 - 536*d - 41*d**2 - 533*d + 1070*d + 160*d**3 + 2*d**5 wrt d.\nAnswer: 40*d**3 + 960*d - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 921917, 921130, 920343, 919556?\nAnswer: 918769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-14))\/(-1*15\/(-3))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-60)\/(-14) + (-10)\/35. Solve 2*t + 1 = r, l*r - 3*t - 3 = 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 8*x**2 + x. Suppose 4*n + 5 = 1. Calculate the remainder when g(n) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z + 12. Let p be t(11). Let v = 14 + p. Suppose v*f - 2 = 2*f. Is f equal to -12\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13518 is divided by 50.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21133021131 + 3?\nAnswer: -21133021122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 12:52 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3265 - 31266?\nAnswer: -26001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5445)*-5)\/(-6*sqrt(144)).\nAnswer: 55*sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/323 and 9\/247.\nAnswer: 4199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand c - c**2 - c + (105*c - 99*c + 119*c)*(-2 + 2*c + 2) + (-3*c + 0*c - c)*(-2*c + 4*c - c).\nAnswer: 245*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 112*x + 34*x - 292. Solve 3*y + 9 = 0, -l + y + x + 2 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83528, 167374, 251530, 335996, 420772, 505858?\nAnswer: 591254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/2*12\/(-21). Let t = 93 + -90. Solve -n*l = -3 - t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 10. Let g = 3.4 - 2.9. Sort g, 5, d.\nAnswer: d, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -3, -36, 2084 in increasing order.\nAnswer: -36, -3, 3, 5, 2084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12173 is divided by 155.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 33, -2, 2, -12 in ascending order.\nAnswer: -13, -12, -2, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/3 - 46*a + 141.\nAnswer: -(a - 3)*(a + 141)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 91 or -173859?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 7*b + 12. What is the remainder when 5 is divided by z(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.9 + -9. Let i = a - -0.8. Let j = i - -0.3013. Round j to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*u - u - 3534. What is the least common multiple of u and 2?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*i - 7*i - 10*i)*(441 + 1305*i**3 + 448 - 889) as b + g*i**2 + o*i**3 + d*i**4 + w*i and give d.\nAnswer: -14355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 118 - 113. Which is the closest to g? (a) -0.5 (b) 0.4 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161814619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9354884 and 7007.\nAnswer: 121613492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2)*y)**(2\/15)\/(((y*y*y**7)\/y*y)\/y)**28 assuming y is positive.\nAnswer: y**(-224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 8bd?\nAnswer: -8bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52)\/sqrt(4))**2 + 3 - (2 + sqrt(13)*-2))*-6.\nAnswer: -84 - 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 15*x - 11*x. Let l be (x\/(-5))\/(38\/(-95)). Which is the biggest value? (a) 0.8 (b) l (c) -5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*t**3 - t**3 + 4*t**3)*(562 + 165 - 11623*t - 725) as b*t**2 + s + i*t + v*t**4 + n*t**3 and give v.\nAnswer: 11623","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-56)\/6 - 3\/(-9). Let o = i - -9. Sort 5, -4, o.\nAnswer: -4, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -752973686?\nAnswer: -752973686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2617547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -40*m**2 + 2223*m + 1725. Determine v(57).\nAnswer: -1524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(6)\/sqrt(2))**2 - 4*(sqrt(48))**2.\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9341467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + v - 4. Let q(s) be the third derivative of s**5\/60 + s**3\/6 + 2*s**2 + 33. Let r be -17 - -18 - (0 - -4). What is r*q(j) - m(j)?\nAnswer: -2*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k = -14*k + 2, 4*g + 4*k - 12056 = 0. What are the prime factors of g?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3323100013 (base 4) to base 13\nAnswer: -2a0568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 3\/4 (b) -1459 (c) -1\/3 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -176, -649, -1236, -1775, -2104, -2061?\nAnswer: -1484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 4.2. Let m be 336\/(0 - (-10)\/2). Let s = 67 - m. Which is the nearest to t? (a) 3\/4 (b) s (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**15)\/(g*g**(-4\/5)*g*g))**(1\/22) assuming g is positive.\nAnswer: g**(-81\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 0.3, 1\/2, -33?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a decade in months?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19210375.\nAnswer: 5, 313, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 11*u**6\/360 - u**5\/120 + 2*u**3\/3 - 4*u. Let n(k) be the second derivative of r(k). Calculate n(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 + 55. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 859169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*h + 28*h**2 - h**4 + 36*h**2 - 41*h**2 + 15*h**3 to q*h**4 + m + t*h + f*h**3 + w*h**2 and give w.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 2*m - 2*m)*(0*m + 3*m - 25*m) + 6*m**2 + 85*m**2 + 77*m**2.\nAnswer: 124*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-1)*19\/7. Let q = n + -100\/21. Factor q - 7\/3*c + 7\/3*c**3 - 2\/3*c**2.\nAnswer: (c - 1)*(c + 1)*(7*c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = m - g, 4*g + 14192 = -2*m + 14120 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 5, -0.1, 40, 1.9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 10:05 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + 1)*10\/4. Let r = n + 8. Find the third derivative of -b**3 + 2*b**2 + r*b**3 + 0*b**3 wrt b.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**4 - 2*n**3 + n**2 - n - 1. Let a(g) = 6*g**4 + 22*g**3 + 10*g**2 - 46*g - 8. Let w(i) = a(i) - 8*j(i). Factor w(c).\nAnswer: -2*c*(c - 19)*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**4 + 72*a**3 + 111*a**2 - 900*a = 0. Calculate a.\nAnswer: -4, 0, 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4715 + -21868.\nAnswer: -26583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/189*-7*783\/45?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (-4 + 5 - 13).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(160))\/(-6*sqrt(8)*-2).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + x**5 + 0*x + (x + x + 0*x)*(5*x**4 - x**4 - 2*x**4) - 2*x**5 + 2*x**5 - x**5 + 11*x**3 - 12*x**5 - 44495*x**2 + 44539*x**2 + 14*x**5.\nAnswer: 6*x**5 + 11*x**3 + 44*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 623477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*j**2 + 60489205*j - 15122300 = 0. What is j?\nAnswer: 1\/4, 3024460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -13. Let i be (2 - 0) + s\/(-4). Let u = 2 + i. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(22) + (sqrt(198) - sqrt(198)*-1)\/sqrt(9))\/((1*sqrt(12) + sqrt(12))\/sqrt(6)))**2.\nAnswer: 297\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - y + 0*y - 274 = 0, -5*y - 254 = 3*r. Let d = r + 649\/7. Let x(h) = -2*h - 28. Let w be x(-13). Sort d, 2\/11, w.\nAnswer: w, d, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*w + 112*w - 53*w = -22*v + 116, -4*v - 2*w - 5 + 13 = -16 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqaaxmxmqq. What is prob of picking 3 x and 1 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -400338769\/936 - -5555210\/13. Let x = 3572\/9 + l. Calculate the common denominator of x and -37\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*m - 19 = -3*r, -8 = -3*m + 4*r. Put 15, m, 0 in ascending order.\nAnswer: 0, m, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22424 and 189344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4981 - 4981. Solve 0 = -4*d + 52*w - 49*w + 13, 2*d - 5*w - 17 = n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 4059800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1\/7, -4\/19 in descending order.\nAnswer: -0.1, -1\/7, -4\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13688238?\nAnswer: 2, 3, 2281373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7571890?\nAnswer: 2, 5, 733, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13228300373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -1\/6*f**3 - 3\/40*f**6 - 1\/24*f**4 + 1\/60*f**5 + 16*f**2 + 0 + 0*f. What is p(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -33, -650558 in descending order.\nAnswer: 5, 4, -33, -650558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-1131)\/(-29)*1.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4296\/757, 1\/3, 5, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*p**3 + 20 + 36*p - 3*p**2 - 28*p + 32*p + 8*p**2.\nAnswer: -5*(p - 2)*(p + 1)*(3*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*z - 180*z + 333*z - 80*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*t - 9*t - 122*t - 1328 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.42 less than 35?\nAnswer: 33.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6 from 2489147.309.\nAnswer: 2489153.309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55)\/30 - (-419)\/222) + (-125)\/259.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84782, -339125, -763030, -1356497?\nAnswer: -2119526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(121) + (sqrt(121) - sqrt(121)*-2))\/sqrt(11).\nAnswer: -2 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -74*c + 20. What are the prime factors of k(-1)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**2 - 8*l + 13. Let i be z(2). Suppose 0*c = -i*c + 108. Calculate the remainder when 177 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a gram in milligrams?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/5 of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/(-15))\/2 + 18\/((-54)\/151).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -142.\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4326*w - 11 - 4323*w + 12957*w - 4317*w.\nAnswer: -9*w - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than 0.05049?\nAnswer: 0.55049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -136*z + 624. Give k(8).\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 17, t: 2}.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 + 44822 - 44822.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2307311267 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q + 27456 = 27492 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 65*j + 14*j**2 + 1 - 65*j + (j + 2*j - 2*j)*(-2*j - 1 + 1).\nAnswer: 12*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 1. Let k be v(-4). Solve -5*t = k*p, -t = 4*t + 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 0, n = z + 3*z + 3. Suppose 3*m + 0*r + 4*r - 15 = 0, 0 = -n*m + 2*r + 33. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 605*w - 602*w - 11895 = 0. List the prime factors of w.\nAnswer: 5, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l + 1. Let i be g(-2). Let s = -6 - i. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 5*g**2 + 8*g + 9. Let k = -44 + 56. Suppose -2*n - 2*n + k = -4*y, 4*n = -12. Determine r(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -360004 at least as big as -360000?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 30854 times 26\nAnswer: 802204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2319*p + 2543*p = 10528 for p.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 4*l = 3, -16 = -w + l - 13 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((17 - -2)\/(-1))\/((-1)\/3). Let c = -63 + a. Let x(q) = -q**3 + 2*q**2 - 6*q + 6. Let p(f) = 3*f**3 - 6*f**2 + 17*f - 17. Calculate c*p(g) - 17*x(g).\nAnswer: -g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**2 + 3*q**2 + 2*q**2)*(-4 - 1 + 4 - q)*(0*q + 7*q - 3*q).\nAnswer: -4*q**4 - 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.85 + 16.65. Let s = u + -18. Let p(m) = -4*m**2 + m + 1. Let n be p(-1). Which is the second smallest value? (a) 2\/15 (b) n (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -26. Suppose 4*f = -r - 101 + 544, 0 = 4*f - x*r - 434. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 8 - 4 + 25 - 3 + 6*n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**4 + o**4 - 151 - 4*o**2 + 139 in the form h*o**2 + y*o**4 + b + j*o + f*o**3 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of q**5\/20 - q**3\/6 + q**2 + 4*q. Let c be t(-2). Let x(z) = -z. Give x(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 235 + -43. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8165 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 132 = 9*w. Let n = 51 + w. Let c(q) = 4*q - 6. Calculate the remainder when c(n) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of i**7\/630 - 7*i**6\/180 - 4*i**5\/15 + i**4\/8 + 5*i**3\/2 + 25*i**2 - 4. Let c(f) be the second derivative of x(f). Factor c(m).\nAnswer: 4*(m - 8)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 k, and 1 z when four letters picked without replacement from qoockzckko.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 114\/29 + -6440\/1653. Which is the nearest to 0? (a) -5 (b) w (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1369039 divided by 257.\nAnswer: -5327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1470*k + 1470*k - 172*k**2 - 2940*k + 190*k**2.\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 4191?\nAnswer: 4191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 0.04 (b) 0 (c) 10596\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 6*s**2 - 56*s - 9. Give n(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6359397 minutes to hours.\nAnswer: 0.010598995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -1 - sqrt(5)) + -1 + -5*(sqrt(45))**2 + sqrt(5).\nAnswer: -227 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 507*k - 678. What is the tens digit of b(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2361*u = -2357*u - z - 18, 0 = -4*u - 3*z - 6. Solve -s + 131*r - 126*r = 22, -16 = u*s - 5*r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 3*i = -2556. Let s = -5103\/8 - i. Find the common denominator of s and 59\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1018, 831, 308, -725, -2442, -5017?\nAnswer: -8624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -3*x - x. Suppose 4*p + 1 = 5. Let z be p\/(-4) - (-38)\/x. What is the third smallest value in -4, z, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qvmimqqigq. What is prob of sequence qmg?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(84) - sqrt(84)*-2)\/sqrt(3)*-4)\/(5*-1*(sqrt(4) - (-2*sqrt(16))\/sqrt(4))).\nAnswer: 12*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13420316 is divided by 60?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**3 - 4*o**2 + 4*o - 3. Suppose 3*m - 4*s = -24, -m + 3*s - 14 = -1. Let c be l(m). Let g = c - 12. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*a - 5*k, -a + 3*k - 6*k = 24. Let f = a + 15. Solve -3*o = -2*o + f for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 146 - 26. What is the smallest common multiple of (-18)\/(-5) - 2\/(-5) and ((b\/(-5))\/(-4))\/(9\/12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*v + 16*v - 9*o = 111, 0 = o + 12 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12130467.93 nanoseconds to weeks.\nAnswer: 0.000000020056990625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 88, 202, 324, 448, 568?\n\"Answer: -g**3 + 10*g**2 + 91*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4071854769 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 4*c - 6 = 0, -c = 2*s - s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -18. Solve g*q = 5*u - 29, 3*u + 1 = 13 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 0*b + b + 23 - 26 to j + m*b and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 9:43 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 43.542 to zero dps.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5070\/7 or -2.11357?\nAnswer: -2.11357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2 = -0*r. Suppose -2*h + r = -h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -115882 + 5?\nAnswer: -115877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/13*((-600)\/(-56) - 11). Sort i, 0, 0.3, -1 in ascending order.\nAnswer: -1, 0, i, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t + 2. Let j(v) = v - 1. Let u(z) = 2*z - 4. Let o be u(5). Calculate o*j(g) + 4*m(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l + 7. Let s be p(6). Suppose 4*r + 100*r = 1040. What is the highest common factor of r and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 + 31*z - 33. Let w be o(14). Let f(b) = -7 - 21*b**2 + w*b - 16*b + 20*b**2. Calculate f(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00201622 rounded to four decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10656224 (base 7) in base 13?\nAnswer: -26b283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7093.622m to micrometers.\nAnswer: 7093622000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4855649684 to the power of 1\/2, to the nearest integer?\nAnswer: 69682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 7. Let o be (p - (-4)\/(-2)) + -156. What is the least common multiple of 4 and o\/(-16) + 2\/8?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29645046?\nAnswer: 2, 3, 1646947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -8*c - 26. Let k be q(-6). Let j = 0 - -22. What is the greatest common factor of k and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d + 482. What are the prime factors of a(71)?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 85*h**2 + 4*h - 2. Let u(c) = 41*c**2 + 2*c - 1. Give -3*t(g) + 7*u(g).\nAnswer: 32*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51)\/12 + (-63)\/84.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**5 - 3*y**5 - y**5 + (3 - 2*y**3 - 3)*(-5*y**2 + 5*y**2 - 3*y**2) + (-4*y**2 + 4*y**2 - 4*y**3)*(3 + 2*y - 4*y**2 - 3).\nAnswer: 21*y**5 - 8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 3.4?\nAnswer: 20.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 51329664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 126.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 - -35. Let x be 8 + 1*(0 + p). Solve -m - x = -3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16.7 - 17. Let p = j - -0.1. What is the smallest value in 2, p, 3\/8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18948 + 4909. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 - 6 = 13*v. Suppose -4*n - 174 = -5*x, 0*n + v*n = -3. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -236\/17, -2, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2165, -2230, -2295, -2360, -2425?\n\"Answer: -65*i - 2100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 23*m**2 + 850*m + 71. Calculate q(-37).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316980332.\nAnswer: 2, 31, 37, 59, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*i + y, 5 = -2*y + 1. Let g be ((-198)\/(-27))\/(2\/(-6)). Let q = i - g. Solve 7*n - 3*b = 4*n - 12, q = -4*n - b for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8432074, -8432078, -8432086, -8432098, -8432114, -8432134, -8432158?\n\"Answer: -2*c**2 + 2*c - 8432074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 3:55 PM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -561.4 + 561.406. Which is the nearest to 1? (a) -47 (b) -3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**5\/60 + n**4\/9 + 5*n**3\/18 + n**2\/3 - n. Factor m(z).\nAnswer: (z + 1)**2*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 9:08 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 390 and 7640?\nAnswer: 297960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18148 - 17845. Calculate the greatest common divisor of g and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(6*(-4)\/8))\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 523945 and 5449028.\nAnswer: 27245140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7833.95cm?\nAnswer: 78.3395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1981\/10030 + 5\/2006. Sort u, 4\/7, -5, -1, 0.3 in ascending order.\nAnswer: -5, -1, u, 0.3, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -17. Find the second derivative of -4*y**2 - 11*y + 14*y + y**n + 10*y**2 wrt y.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 114890737 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/3 + 2*a**3 - 323*a**2\/3 + 208*a - 308\/3.\nAnswer: (a - 14)*(a - 1)**2*(a + 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.87 + 6.08. Let j = 21 - 15.1. Let m = j - y. What is m rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1175, -1163, -1151, -1139, -1127?\nAnswer: -1115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(-693) - (-14)\/(-49)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-64)\/18 - (-20)\/45?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6747009?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 153271125 and 2835?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 21 = 4*b + j, 4*b - 5*j = 15. Let r = 50 - b. What is the highest common factor of 9 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-10) + -1 + (-2236)\/430. Put c, 4, 0 in ascending order.\nAnswer: c, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3760 divided by 4.\nAnswer: 940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 180*f**2 - 1092*f + 76. What is a(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 7*j**2 - 3*j + 9 + 2*j - 6*j. Let v(u) = -20*u**2 + 9*u**2 + 11*u**2 - 3*u + 3*u**2 + 4. What is -9*v(g) + 4*z(g)?\nAnswer: g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 30 = 0, -468*m + 471*m = i + 18 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/4 - (-34)\/(-4). Let c = -3 - w. Let p(r) = r**2 - 2*r + 1. What are the prime factors of p(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 113555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -16 * 0.3\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4114284 (base 9) in base 5?\nAnswer: 1030211103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/(-9))\/((-4)\/6). Let b be (-2)\/(-6) - 357\/(-9). Suppose 10*j - 5*j = b. Solve 0*c - j = u*g + 2*c, 0 = 4*g - 5*c - 11 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.4 - -0.4. What is the third smallest value in -0.4, 2\/11, p?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -3*m**5\/20 + m**4\/2 - m**3\/2 + 27*m. Factor i(u).\nAnswer: -3*u*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, 2\/3, 2\/9 in decreasing order.\nAnswer: 2\/3, 2\/9, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14670866?\nAnswer: 2, 7, 41, 61, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3760690?\nAnswer: 2, 5, 97, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5 + sqrt(612)*2 + -3)**2 + ((sqrt(1666)*-6)\/((sqrt(12)*2)\/sqrt(6)))**2.\nAnswer: -288*sqrt(17) + 10089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3664068?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**5 + 248032*l**4 + 248036*l**3.\nAnswer: -4*l**3*(l - 62009)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1745 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -306, -305, -302, -297, -290, -281, -270?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(272) - (sqrt(272) + (sqrt(272) - 3*sqrt(272))))*-6)\/sqrt(8)*5)\/((-3*(sqrt(6) + sqrt(30)\/sqrt(5) + sqrt(6)))\/(-2*sqrt(147))).\nAnswer: -280*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -2*r + 10 - 35, -3*u + 15 = -4*r. Solve u*l = -2*s + 9, -4 = -4*s + s + 2*l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 3)*(-3*q + 0*q + 2*q) - 3 + 3 + 101*q)*(5 - 5 + 3)*(q - 5*q + 2*q).\nAnswer: -600*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9904 + 4207. Let a = j + 216515\/38. What is the common denominator of a and 21\/22?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -6*i**2 + 5*i + 7. Let w(j) = j**2 - j - 1. Let m be 4\/22 + 53\/11. Suppose -4*s - m = 3*b, 0 = s - 4*b - 9 - 4. Give s*a(g) + 5*w(g).\nAnswer: -g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.4 (b) -0.19 (c) 0.4 (d) 88\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/11 and -61\/92?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 222970044 and 198.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(3)*-2))\/((sqrt(18) - sqrt(288))\/sqrt(9)).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 9:03 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373 is divided by 104.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3632 divide 369581424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 7*d = 0. Let f be 0\/4 + d - -2. Suppose 0 = y - 2 - f. Solve -x + 5*b = -5, x + y + 3 = -b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5924755?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 - -1.6. Let c = 0.1 - -0.9. Let y = t - c. What is the biggest value in 4, y, 1\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(4\/(-8) - -1). Suppose -2*n - v = -4*n. Let o(b) = 2*b**2 - 2*b - 2. What is o(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 344104 - 198305. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -3*o - 10, 11*w + 28 = -4*o + 6*w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/12*(16 - 1). Suppose 16 = q*c - 9*c. Let r = c + 18. Solve -2*j + 3*z = -14, r = 6*j - 2*j + z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 6*q. Let z(i) be the second derivative of -i**4\/6 + 6*i. Determine c(z(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = p - 4*n, -5*n = -4*p + 21. Suppose z + 10 = 2*f + 3, -p*f - 1 = 3*z. Let r(b) = -b**2 - 19*b + 17. Let m be r(-20). Is z at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 + -7)\/((-50)\/(-150)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 25. Let y = -0.253 - -0.193. Which is the third smallest value? (a) p (b) y (c) -3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -3324*f**5\/5 - 2485*f**4\/2 + 7513*f. What is the third derivative of t(u) wrt u?\nAnswer: -79776","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 a factor of 5435026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 2*k**2 + 43*k + 22. What are the prime factors of o(-8)?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*j + 2. What is the remainder when 14 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zt when two letters picked without replacement from mzttbjn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 376 - -1050?\nAnswer: 1446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4ac - 2279?\nAnswer: -1a9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/(-6) - (-3)\/(-6). Let k(i) = -1 - i**b + 0 + 2*i**2. Let d be 1*(-2 + 1) - 0. Give k(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5 = 2*c - 9, 0 = 2*y - 3*c + 11. Let w be 16\/(-10)*y\/4. Factor f**2 - 4*f**w + 0*f**2 + 6*f**4 - 3*f**2 + 2*f**3 - 2*f.\nAnswer: 2*f*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 23\/6*y**3 + 9*y**2 - 3\/4*y**4 + 23 + 0*y. Let i(m) be the second derivative of b(m). Differentiate i(g) wrt g.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**3 - 221*k**2 - 6*k - 8. Let s(b) = -2*b**3 - 222*b**2 - 5*b - 6. Calculate -5*j(q) + 6*s(q).\nAnswer: -2*q**3 - 227*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7944 - 4)\/(1\/500). Round y to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34 - 3 - (-97 - -150)) + 13.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**2\/3 - 32*c\/3 + 68\/3 = 0.\nAnswer: -34, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q + 6. Let f be i(10). Let a be ((-42)\/49)\/((-1)\/7). Suppose a*h = 7*h - f. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**5 + 2*d**5 - 5*d**5 - 2*d**5 + 2*d**5 + d**5 + 2 - 2 + 2*d**5 + (-d + 2*d**2 + d)*(-2*d**3 + d**3 - d**3) - 38189*d**2 + 38189*d**2 - 3*d**5.\nAnswer: -7*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -101 + 135.9. Let l = 33.9 - v. Let g(k) = k**2 + 5. Let z be g(0). Sort -0.4, -2\/9, l, z.\nAnswer: l, -0.4, -2\/9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 12:37 AM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 c when four letters picked without replacement from ffctffffffffftt?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13)\/13 + (-2 - -4). Suppose f - 6*f + 15 = 0. Let s = 168 + -164. Solve -f*v - 20 = s*t, v = -t - 6 + o for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3274950 and 450?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -86 + 108. Let g(l) = 18*l - 3. Let x be g(2). What is the highest common factor of x and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**4 - 48 + 48 + (0*l + 5*l - 4*l)*(-2 + 0 + 0)*(-3 + l**3 + 3).\nAnswer: -6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -278*h**2 + 70*h.\nAnswer: -556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 63 and -5065?\nAnswer: -319095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -4*u + 2*u - 150, -s + 5*u = 21. Let d = -88 + 131. Let h = d + s. What is the greatest common divisor of h and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108730594 times 0.6?\nAnswer: -65238356.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -703, -1386, -2071, -2758?\nAnswer: -3447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 4:32 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) -17 (c) 0.5 (d) -0.06 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jr when two letters picked without replacement from {d: 3, j: 3, r: 12}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490936.\nAnswer: 2, 109, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 76252358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/979 and -47\/267.\nAnswer: 2937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -88 - -58. Let u be (-16)\/c*(-3)\/(-4). Let b be (20\/50)\/(4\/(-5)). Is u <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -4*a + 3. Let t = 46 - a. What is the first derivative of 6 + t + 12*l**2 - 18 wrt l?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32483276 and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 752, 3035, 6840, 12167, 19016, 27387, 37280?\n\"Answer: 761*q**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 663, 946, 1229?\n\"Answer: 283*h + 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/2)\/(164\/(-16)). Which is greater: -0.1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of c**3 + 5*c. Let g(y) = 5*y**2. Determine g(k(b)).\nAnswer: 180*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 4 = -v, -7*v + 3*v - p - 16 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/12 - -3)\/((-2)\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-407)\/(-407)*1\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*t + 315 + 42*t**3 - 315 - 125*t.\nAnswer: 42*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1420277498.\nAnswer: 2, 269, 2639921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 5*u**2 - 5*u - 3. Let o be k(6). Let d(c) = -3*c - o*c - 6*c - 7*c. Let p(h) = 2*h. What is d(p(q))?\nAnswer: -38*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/678717 and 47\/502853884.\nAnswer: 4525684956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -i - h, 2*i + 5*h + 15 = 8*h. Suppose -2*x - 2*x = -5*r - 1808, i = r. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -85655.3 + 85655. Let u = 12.5 + -9. Which is the nearest to -0.1? (a) u (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29327 + 9\nAnswer: -29318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**5\/12 + k**4\/12 - k**3\/6 + 12*k**2 - 4*k. Let w(v) = 24*v**2 - 10*v + 4. Let g be 62\/(-4) - 9\/(-6). Give g*d(o) - 3*w(o).\nAnswer: -2*o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4360 and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 y, and 1 b when four letters picked without replacement from nusybnslbubb?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.5 - -13.7. Let c = i - 8. Let p = 1\/32 - -3\/32. What is the smallest value in -4, p, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 978551.1 millennia in centuries?\nAnswer: 9785511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6*(-5)\/(-60)*622?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 36 = -x, 9*u - 56 = -572*x + 567*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -12 + 3 - 7 - 6 + 2*d. Let r be h(13). Let i(u) = 2*u**2 - 4*u + 18. Does 2 divide i(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/3))**(-24)\/(((((m**(-1)\/m*m*m)\/m)\/m)\/m)\/m*m)**(-4\/29))\/((m**(2\/7))**(-33)*m**3*m**1*m) assuming m is positive.\nAnswer: m**(-809\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*y**2 + 17*y**2 - 46*y**2.\nAnswer: 32*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 749839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 717, 2875, 6471, 11505?\n\"Answer: 719*j**2 + j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 5\/685391 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1635\/24 + 2 - 6\/(-2). Let x = c + -73. Put x, -1\/4, 0.29 in decreasing order.\nAnswer: 0.29, x, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -103*s + 105*s. Which is bigger: -29 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, o: 1, i: 3, u: 7}. What is prob of picking 1 i, 1 a, and 1 o?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + 3*m - 37, 4*d + 2*m + 21 = 9 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**3*v**2 + 43210*o**3*v*z**2 + 2*o**3*v + 32056*o**2*z - 2*v**2*z**2 - v**2*z wrt z.\nAnswer: 86420*o**3*v - 4*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 92766 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 29\/2 of a millennium?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1591630 divided by -159163\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 8 = 0, 3 + 17 = 4*r - 2*v. Suppose -3 = k, 0 = -f - r*f - 5*k - 50. Let c(h) = -h - 1. Calculate c(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 376592616 and 552.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 30*n**2 + 56*n - 157. Let g be x(-32). Suppose 191 = 10*y - g. Is 29 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 6 = -3*v. Suppose v*h = -3*s - 2*h + 7, 2*h = 5*s - 22. Suppose 5*a = s*a + 3. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 173*d**2 - 3833*d + 284. Calculate f(26).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.6, 29918, 7?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2147, 2\/5, -70, 1?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*i + 40*i = 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6047059 divided by 16477.\nAnswer: -367","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (12 - (-792)\/(-60))\/((-6)\/10). Put -4, w, 0, -46 in decreasing order.\nAnswer: w, 0, -4, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 182 - 143. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(1\/4)*q)**(-16)\/((q**8\/q)\/(q\/q**(-7))))**(3\/8) assuming q is positive.\nAnswer: q**(-105\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 12*i + 10. Let u(k) = -13*k - 12. Let d(s) = -5*u(s) - 6*x(s). Let f(w) = -4*w**2. Give f(d(l)).\nAnswer: -196*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**7\/945 - x**6\/540 - x**5\/90 + x**4\/108 + 2*x**3\/27 - 11*x**2. What is r in g(r) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 109 - 115 - -3 - (12 - -2).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.9 + 2.3. Let h = q - -0.8. Let y = h + -2. What is the closest to y in -0.1, 2\/13, -3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.05 - -10. Let h = k + -0.05. What is the second smallest value in -5, h, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(5) + sqrt(5) + 1) + sqrt(5) + (-2*sqrt(50))\/sqrt(10) + -3.\nAnswer: -5*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2801, -2822, -2843, -2864?\n\"Answer: -21*t - 2780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (174*s - 1021*s + 85 - 85)*(9*s**3 + 19 - 19).\nAnswer: -7623*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u = 23*u - 3*o - 124, 2*u - 68 = 3*o. What is the remainder when u is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1343 - 1348. What is the closest to -0.08 in u, 2\/53, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 67, -0.5, 16536, -3, 1, -4\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}