diff --git "a/data/dm_maths/full_data_1/1995_11255.jsonl" "b/data/dm_maths/full_data_1/1995_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1995_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 83021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 280 and 1568?\nAnswer: 7840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = b - 1, 5*b + 3*z - 24 = -3. Suppose 5*k - b*d - 1920 = 2*d, 5*d + 380 = k. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*5*sqrt(192))**2 - (((sqrt(15)*-2)\/sqrt(5) - sqrt(3)) + ((sqrt(9)\/sqrt(3) + sqrt(3))*-4 - sqrt(3))).\nAnswer: 12*sqrt(3) + 76800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223 + 223 - 8*o**2.\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -20.6 times 59\nAnswer: -1215.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 853 divide 227751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -10 + 2 + 6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ko when two letters picked without replacement from pwwohpwpok.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (0 - -13 - 24)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*w - 50 = 0, -2*m = m + 2*w - 31. Suppose -m = -s - 10, -4*c = -2*s - 2842. Does 85 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 166502*l**6 - 55*l**4 - 15*l**2 + 3824*l + 1 wrt l.\nAnswer: 19980240*l**3 - 1320*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 11*n**2 + 6. Let x be k(11). Solve 4*m + x = 2*l, 4*l + 0*m = -5*m - 40 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214325650 rounded to the nearest 1000000?\nAnswer: 214000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-804)\/1407 - (2 - 135\/28) - (-6 + 7). Determine f so that 1\/4*f**5 + 5\/4*f**2 - 1\/4*f**4 - x*f**3 + f - 1 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -14122?\nAnswer: 14124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/7, -2\/21, 2.48, 2\/7.\nAnswer: -5\/7, -2\/21, 2\/7, 2.48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) 54 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2114, 1, 5, 32, -2, -10, 0 in increasing order.\nAnswer: -2114, -10, -2, 0, 1, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, i: 7, x: 6, d: 1, b: 3}. What is prob of picking 1 b and 1 u?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3365 divided by 16.\nAnswer: -3365\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 2:32 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -100.754 rounded to zero decimal places?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 336021 to the nearest 10000.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 7288 = 5*c + 2518, -5*q - 4800 = -5*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96412?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1700669 minus 98?\nAnswer: -98.1700669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + c - 17, 3*u = -4*c + 26 - 27. Let x(z) = -z**3 + 4*z**2 + 5*z. Let s be x(5). Put s, u, -6 in descending order.\nAnswer: s, u, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xhp when three letters picked without replacement from {x: 3, p: 3, i: 2, y: 1, h: 1}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*g - 6, 2*c - 3*g = 3*c + 7. Let v = c + 5. Suppose -a + 3 = q, 0 = -0*a - v*a - 2*q + 10. Solve -a*w - 3 = -3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14614?\nAnswer: 2, 7307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, q: 2, m: 2, n: 1}. What is prob of picking 2 q?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 1:46 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4*(5 + (sqrt(180) - (sqrt(180) + -4 + -2) - 6*sqrt(180)*4)**2).\nAnswer: -414889 + 6912*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaasayaa. What is prob of picking 1 a and 1 s?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 328505, 654849, 981193?\nAnswer: 1307537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 199*h + 9. Determine x(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68 - 13 - 20) + -26?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 287 - 1147\/4. What is the closest to w in -79, 0.1, 4\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1598, 1609, 1628, 1655, 1690, 1733, 1784?\nAnswer: 1843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28543*m + 28457*m + 28400*m - 84897*m.\nAnswer: 503*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 4*y**2 + 5*y - 5. Let u be t(4). Let q be u\/126 - 6\/21. Sort q, -0.2, -1 in decreasing order.\nAnswer: q, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 8 = -9*q. Suppose 8*u - 80 = 3*u. Find the second derivative of u*a - 8*a**2 + 6*a**4 + q*a**2 wrt a.\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/9*2\/6?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/77)\/(24\/(-42))*(24 - 0).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -21*o + 20*o. Let n = 11 - 21. Calculate the least common multiple of (-144)\/(-10) + 4\/n and o.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -591971, -591959, -591933, -591887, -591815, -591711, -591569?\n\"Answer: d**3 + d**2 + 2*d - 591975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**5\/3 - 656*x**4\/3 - 1828*x**3 - 3496*x**2\/3 + 9632*x\/3 = 0 for x.\nAnswer: -7, -2, 0, 1, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 8 = 4*v + 2*w, -2*v - w + 2 = 0. Let k = 101\/436 - -2\/109. Put v, k, -1\/6 in ascending order.\nAnswer: -1\/6, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m - 40. Let p(q) = -5*q**2 - q + 19. What is x(p(k))?\nAnswer: -5*k**2 - k - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 15) in base 2?\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 4:27 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10579, 10910, 11261, 11632?\n\"Answer: 10*q**2 + 301*q + 10268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**15\/(x**(-23)*x))\/(x**(-2\/17)\/x**(-14)) assuming x is positive.\nAnswer: x**(393\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 4\/(-10))*-30. Suppose 7*s = 4*s + p. Suppose 2*g - 2*n + 0*n - 16 = 0, s*g - 32 = -3*n. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 6 - 1 = 0. Let c(r) = -r**2 - 6*r - 2. Let w be c(d). Factor w*x + 1 - 1 - x + 2*x**2.\nAnswer: 2*x*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f - 12. Suppose 5*t - 66 = -1. Let o be i(t). Is o not equal to -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of 11*p**7\/30 + p**6\/120 - 25*p**3\/2 - 17*p**2 - p. What is the first derivative of s(o) wrt o?\nAnswer: 308*o**3 + 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 470 divided by 470\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 11:58 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 (base 4) in base 10?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -35 + 166?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 6*t - 5. Let m(b) = -48*b - 18. Let a be m(3). Let p = a - -165. Solve -z + 3 = g - t, -p*g + 14 = 4*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwjjzwzj. Give prob of picking 2 w.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(3 - 3 - 1)*(29499*g - 7348*g + 79535 - 79535)*(3 + 1 - 2).\nAnswer: 44302*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(128)*-5.\nAnswer: -5*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 70 = 4*r + i, 2*i + 30 = -r. Let y be r\/(-6) - 6\/9. Let t(v) = -4*v**3 - 3*v**2 + 3. Let q(h) = 11*h**3 + 8*h**2 - 8. Calculate y*q(c) + 8*t(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 3*l**2 - 4*l - 5. Let q(h) = -2*h**2 + 3*h + 4. Let s(f) = 4*q(f) + 3*v(f). Let n(a) = -a**3 + a**2 + 1. Give 4*n(z) - 4*s(z).\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40*f + 7*f - 6*f**4 - 87*f**3 + 87*f**3 wrt f.\nAnswer: -72*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14336432 to the power of 1\/2, to the nearest integer?\nAnswer: 3786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -1. Let x = 20 + c. Let p be 1*(0 - 2 - -2). What is the closest to -1\/3 in p, x, 0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j + 118. Let t be a(0). Let q = -26 + t. Suppose v = q - 5. Is 27 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**15\/d**5)**(14\/9) assuming d is positive.\nAnswer: d**(140\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20558058 and 6?\nAnswer: 20558058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6012 divided by 3?\nAnswer: -2004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 20*l + 5. Let j be p(20). Find the third derivative of -t**2 - 14*t**j - 52*t + 18*t - 25*t**3 - 5*t**3 + 16*t**5 wrt t.\nAnswer: 120*t**2 - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122434322 (base 5) to base 3\nAnswer: 1010010120012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3172 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*i + 125*i + 8 - 6 + 8*i - 4*i + 0*i + (2*i - 4 + 4)*(0 - 3 + 5).\nAnswer: 142*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 148 + -55. List the prime factors of v.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76919139649*i**2\/6 - 67949035*i\/3 - 60025\/6 = 0.\nAnswer: -245\/277343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooononoooo. What is prob of picking 3 o?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 649*y - 18062. Determine q(28).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.27, 8\/7, 5\/6, 16, 4?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 2*j - 3*j)*(j**3 - 3*j**3 + 4*j**3 + (j - 7*j + 2*j)*(-j**2 + 2*j**2 + j**2) + j**3 + 2 - 2).\nAnswer: 5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002095 to four dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 316985, 633971, 950957, 1267943?\n\"Answer: 316986*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.83 + -60106.644734.\nAnswer: -60104.814734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48585 + -30331. What is the thousands digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 13, u: 3, j: 2}. Give prob of picking 2 j, 1 u, and 1 n.\nAnswer: 13\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 132760404 a multiple of 669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f**2 - 13. Let z be u(-6). Let v be z + 3\/(-3 - 0)*2. Calculate the greatest common divisor of v and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*h + 22*h + 2316. Suppose -r + h = -21. Let i be (r\/(-18))\/((-3)\/720). Round i to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(832) + (sqrt(468) - (sqrt(468) + sqrt(468) + -3)))**2 - ((sqrt(832) - (4 + -2 + sqrt(832))**2) + -3).\nAnswer: 48*sqrt(13) + 927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5942 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12.042 - 12.12451. What is c rounded to three decimal places?\nAnswer: -0.083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-6))\/(7\/84). Let f be n + -2 + (-1 - -5). Let u = -2 - -32. What is the greatest common divisor of u and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -5. Solve -2*k + 6 + 0 = 0, -4*a - 4*k + q = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/50472092 and 87\/620?\nAnswer: 252360460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 9:47 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 329585344 to the nearest integer?\nAnswer: 18154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 347, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 10*x + 13. Suppose 2*k + 25 = 9*q - 8*q, -15 = k - q. Calculate u(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -1.6?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(4 - (-9)\/(-2)) + -35. Let t = 45 + i. Is t greater than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y = 5*y + 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -3*g**2\/2 - 7. Let z(v) = 2*v**2. Calculate s(z(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -644.6818 and -0.2?\nAnswer: 128.93636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 426790 and 1960?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 10:50 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2530 (base 7) to base 6.\nAnswer: 4224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and -2.0925.\nAnswer: -1.5925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*f, 2*f = -4*s - s - 1. Let r(w) be the third derivative of w**5\/60 + w**3\/3 + 2*w**2. Determine r(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = c + 21. Suppose -3*k + 140 = 5*w, w - 49 = 4*k - c. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*y**2 + 62944*y - 62944*y - 34*y**2.\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.036708156 rounded to three dps?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, l: 2}. Give prob of sequence lyly.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 24 - 8 = 5*y, 0 = 5*y - 3*x + 52. Let s(w) = w + 8. Calculate the remainder when s(6) is divided by (0 - -1 - 0)\/((-1)\/y).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -159*u**2 + 78*u**2 + 76*u**2 - 10*u.\nAnswer: -5*u*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1523*d**3 - 2675401 + 10586*d**3 + 2675401 - 2*d to l*d**2 + b*d + m*d**3 + o and give m.\nAnswer: 12109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 30*v - 32*v = 4*d - 5*d + 60, 628 = -36*d + 4*v for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -10201?\nAnswer: -10211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 575050 is divided by 3485.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -39, -172, -609, -1500, -2995?\n\"Answer: -25*u**3 - 2*u**2 + 48*u - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, q: 4, f: 3}. What is prob of picking 1 q and 1 f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -1, -7\/10?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**5 - k**5 + k**5 + 2 + (-7*k**2 - 5*k**2 + 5*k**2)*(13*k**3 + 0*k**3 - 3*k**3).\nAnswer: -69*k**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/34 - (-2240)\/(-1700). Which is the closest to k? (a) -0.4 (b) 0 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 310, -4 in decreasing order.\nAnswer: 310, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 633402*-5\nAnswer: -3167010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -46571 less than -0.072?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 352 - 104. Suppose 4*l = 5*a - z, 4*a - 5*l - 244 = -51. Calculate the highest common divisor of 39 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -190 by 9.\nAnswer: -190\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281 = -14*d - 2*d - 73 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + s - 708 = 0, -562 = -5*l + 4*s + 302. Solve l = -10*d + 126 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g - 10. Let k(i) = -2*i + 2. Let c be k(6). Let h be (7 + c)\/(1\/(-9)). Suppose w - 4*o - h = 6*w, 4*w + o + 26 = 0. What is q(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -g + 5*f, -8 - 112 = -3*g + 3*f. Let l(q) = q**3 + 9*q**2 - 51*q + 79. Calculate the smallest common multiple of g and l(-13).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1706217353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*k - 150 = 8*k. Let u(o) = -o**3 + 7*o**2 - 4*o - 6. Let w be u(6). Solve -j + k = -w*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2\/11 (b) -2\/7 (c) -7 (d) -3\/2 (e) 2.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121980 = -5*c + 5*h, 0 = -9*c + 6*c - 4*h + 73195. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x*x\/(x**(12\/5)*x))\/x**(-2\/9)*x*x*x**6\/x*x**(-1\/11))**(-13\/3) assuming x is positive.\nAnswer: x**(-49751\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) 33 (c) -2\/13 (d) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 616, 1246, 1890, 2554, 3244, 3966, 4726, 5530?\n\"Answer: d**3 + d**2 + 620*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.053 + 0.0222. Round m to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (4 - (0 - 1) - (514 + -513)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*z - 35 = 205 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-4)\/(-3))*(-13)\/117?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0422634 rounded to four dps?\nAnswer: 0.0423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5485 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 714\/2295*(-90)\/105?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -38431 = -38431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxp when three letters picked without replacement from {y: 8, p: 8, x: 1}.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 127, 174, 219, 262, 303, 342?\nAnswer: 379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -4*a**5\/5 + 74984*a**4\/5 - 1423456*a**3\/5 + 3820504*a**2\/5 - 3670556*a\/5 + 1198528\/5 = 0.\nAnswer: 1, 16, 18727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95 - -32.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by -304.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.1 - 2.092. Round p to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28*14\/(-168) - 6\/(-2)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1732727252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4*h = 0. Suppose -o - d + 0*d + 4 = h, -2*o - d + 6 = 0. Solve o = -4*l - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19009?\nAnswer: 19009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 14*m**2 + 3*m - 3. Let r be q(1). Suppose r*t = 7*t. Solve 2*u - 6 = t, 0 = 6*a - a + 4*u - 37 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 4:45 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 3, 642, 5.\nAnswer: 3, 5, 13, 642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 9*y + 19. Let q be c(7). Solve -3*j + t + t = -2, q*t = 2*j + 17 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 36021, -1, -12, 1\/15 in decreasing order.\nAnswer: 36021, 0.2, 1\/15, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 125 and 3875?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14992 (base 13) to base 3.\nAnswer: 1222111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10702 and 768?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 - 21100?\nAnswer: -21221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 - 11694*l + 34187409.\nAnswer: (l - 5847)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5312*u - 11443*u + 6161*u.\nAnswer: 30*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = i + 2*m, -1795 = 4*i + 4*m - 1799 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -42.6 and 2329.\nAnswer: -99215.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 9*z - 3. Let m be c(7). Find the common denominator of -121\/6 and (-5 - -3) + -1 + m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r = 1580 - 1532. Which is smaller: r or 122\/71?\nAnswer: 122\/71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 2\/21 (b) 0.4 (c) 4\/3 (d) -98\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5252 (base 13) to base 4\nAnswer: -2301332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -42496.5149 rounded to the nearest one hundred?\nAnswer: -42500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13 or 373?\nAnswer: 373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/15 and 164\/(-240) - (-6)\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 957.2862 centimeters to nanometers.\nAnswer: 9572862000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0276639403 to four dps.\nAnswer: -0.0277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**4\/72 + i**3 - 27*i**2 - 47*i - 3. Factor p(v).\nAnswer: -(v - 18)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + 16 + 9 + 10 + -10 - -8) + -7?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbebebbb. What is prob of sequence bee?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24467 at most as big as 24566?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**4\/102 - 4*f**3\/51 + 5*f**2\/17 - 19*f. Determine u, given that s(u) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 2:59 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 22*k - 30. What is the least common multiple of 11 and z(-20)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**3 + 1 - 59*s**3 - 4*s**2 + 4*s**2.\nAnswer: -64*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -513 - -151. Let d = c - -174. Let x = d - -3121. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/120)\/(1173\/14076)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6.3, 2\/9, 0.5, -0.01, -9\/4, -10?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2801597?\nAnswer: 2801597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 35 = 0, 10*w + 10 = 5*u + 6*w. Let p(a) = 8*a + 8. Let j(k) = 0 - k + 0 + 0*k - 1. Give u*p(l) - 14*j(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-770)\/(-330))\/(1\/(-6)) - 143\/(-10).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 + 24*f**2 - 609*f - 4410.\nAnswer: 3*(f - 14)*(f + 7)*(f + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3132, 6260, 9388?\n\"Answer: 3128*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l - 2*l - 5*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5*y + 20811 - 142174 = 0, -2*d + 60685 = 3*y. List the prime factors of d.\nAnswer: 2, 7583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 15.944514 months?\nAnswer: 1.3287095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*z = -152, -2*n + 12*z - 9*z - 71 = 0. Sort -2, 4, -5, n, 3 in decreasing order.\nAnswer: 4, 3, -2, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5918 = -103*r - 315 + 5418. Calculate the remainder when 18508 is divided by r.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 195, -1, 8, 1.\nAnswer: -4, -1, 1, 5, 8, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - 2413200013?\nAnswer: -2413200003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, -2\/3, -0.5, 0.3, -2\/23, 0.5, -2547?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 6:53 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -4. Let n = 13 + -12.2. Let i = n + -0.8. What is the third smallest value in i, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*d - 7 - 5, -4*i - 3 = 5*d. Suppose 5*s + i*x = 39, -2*x - 3*x = -3*s + 3. Differentiate -4*b**3 - s*b + b**3 + 3 + 6*b wrt b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 3*x + 44 + 8, -o + 12 = -x. Calculate the remainder when 47 is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 139, 7 in descending order.\nAnswer: 139, 7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9.7*-14\nAnswer: -135.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003445 to 7 decimal places.\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnnqqnqqqqnqqqqqnqn. Give prob of sequence qn.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {p: 3, b: 1, i: 2, c: 10}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 111, 341?\nAnswer: 341","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -3*k, -2550*k - 2 = -2545*k + 4*f for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 39*j - 36*j + 10848, -6510 = -3*z + 3*j. List the prime factors of z.\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjzfzkzjkffjfkqzzkfi. What is prob of sequence zj?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 0.2 (c) 4 (d) 1285 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*o = 3*u - 35*o + 27, -3*o = 2*u - 1. Sort -456, 2, u, 0.\nAnswer: -456, u, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15 (b) -13 (c) -0.06 (d) 0.04 (e) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17\/40 in -2, 0.2, -214?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 808816895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 174511465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 152 + -85. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**3 + 0*c**3 - 2*c**3 + (c**2 - c**2 - c**2)*(-c - 3*c + 2*c) + 27*c**3 - 15*c**3 + 22*c**3.\nAnswer: 37*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -319 + 661. What are the prime factors of u?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118531258?\nAnswer: 2, 5333, 11113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5937 - 1580. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 13 = -5*q, -33 = -t + 6*t + 3*q. Let p(h) = -h**2 + 7*h - 4. Let x be p(6). Let w(v) = 0*v - v**x - 2*v - 8 - 4*v. Give w(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**4\/13 - 88*r**3\/13 - 2*r**2 + 1168*r\/13 - 1056\/13 = 0. Calculate r.\nAnswer: -4, 1, 3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10010222000 (base 3) to base 7\nAnswer: 345402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9882)\/(-270) - (-6)\/(-10). Is ((-34284)\/16)\/(s\/(-48)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -31 + 313?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**5 - 108*x**4 + 162*x**3 + 2368*x**2 + 1320*x - 3744 = 0.\nAnswer: -3, -2, 1, 6, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.6+-2.64\nAnswer: -2.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -264 and 10.\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - z**2)*(2 + 5*z - 6*z - z) + (-32 + 0 - 23)*(z**3 + 2*z**3 - 4*z**3).\nAnswer: 57*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -1. Suppose -1 = y + 5*v, -4*y + 2*v + 21 = -3*v. Let k = y - 5. Suppose -3*l - 6 = -21. Let b(z) = z - 5. What is k*b(n) + l*w(n)?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -1010?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 y when three letters picked without replacement from {y: 5, g: 2, v: 3}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2. Let l(b) = 2*b**2 - 5*b - 5. Let d(s) = s**2 - 3*s - 3. Let k(y) = 5*d(y) - 3*l(y). What is -5*k(h) - 2*r(h)?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from smmmmpmmppmmpmmpsp. What is prob of picking 2 m?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 40161058127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 22. Suppose s*w - 27877826 - 25082142 = 0. Suppose -2*b - w = -3*g - g, 3*g + b - 9930004 = 0. Round g to the nearest one hundred thousand.\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -110*v + 959. Determine p(7).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 6\/11 (c) 0.5 (d) -7 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 1. Let l(q) = -1 + 69*q**3 - 58*q**2 - 2 - 72*q**3. Let f(m) = l(m) - 3*s(m). Find the third derivative of f(j) wrt j.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9809361 and -886716.\nAnswer: -10696077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/b**(-2))\/(b*b**(-1\/38)*b*b))\/(b**(2\/21)\/b**15))**(-4\/23) assuming b is positive.\nAnswer: b**(-25426\/9177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.7 or 28.5?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4610 + -635. What is the tens digit of -1*(r\/(-24) + 3\/(-8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u - 14*u - 14 = 5*y, 3*u + 3*y - 6 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273*s**3 - 134*s**3 + 6 - 141*s**3 - 6.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 701718155 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -486 - -485.998996. What is b rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, t: 2}. What is prob of picking 2 r?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2042 - 2344*k**2 - 2074 + 793 + 1093 + 583*k**2 wrt k?\nAnswer: -3522*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjwjjjjqwqqjwjw. What is prob of picking 1 q and 2 j?\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-315)\/96)*44\/1056.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12004 - -13823. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7680901 to the power of 1\/2, to the nearest integer?\nAnswer: 2771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1008\/6615 - (-4)\/(-14)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m - 10 + 52 = 0. Suppose 3*q = m*w + 758, -4*q = -7*q - 5*w + 751. Is q a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -9*b + 0*b + 6*b - 15. Let y be w(-11). Calculate the greatest common factor of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 8*h**2 - h + 29. Suppose -59*s + 30 = -62*s. Is m(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 223 + 165*p + 18293*p + 52*p - 2*p**2 - 223 in the form g + w*p**2 + a*p and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -5*b**3 + 1923285*b**2 - 26925255*b + 94237535 = 0.\nAnswer: 7, 384643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*a + 2*a + 3*a)*(-6*a**2 + 3*a**2 + a**2) + (2*a**2 - 2*a**2 - 2*a**3)*(3 - 3 + 5).\nAnswer: -36*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21104 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from felieflii. What is prob of picking 1 i and 2 f?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q**4 + 4245*q**3 - 2121*q**2 = 0.\nAnswer: 0, 1\/2, 707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*s + 4*p, 10 = -3*s - 3*p - p. Let v = s + 3. Differentiate -f + 0*f - 11 + 0*f + v wrt f.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**6\/90 + a**5\/12 + a**4\/4 + 7*a**3\/18 + a**2\/3 - 11*a. Factor j(l).\nAnswer: (l + 1)**3*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48146, 28, -3 in ascending order.\nAnswer: -48146, -3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + w + 41 = 0, 0 = h + 2*h + w - 123. What is the remainder when h is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -119009652 divided by -4\nAnswer: 29752413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + (-11 - (-2 - 3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -6*m - 0*c + 69, 4*m = -5*c + 3155953 - 3155886 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**3 + 3*n**2 + 8*n - 11. Let j be z(1). Which is the biggest value? (a) -1\/5 (b) j (c) 17\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 2:54 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10430034 (base 6) to base 16\nAnswer: 4ce46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a minute in milliseconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 174553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 362374\/(-18163) + (-2)\/41.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(3 - 4 + 3)*(-3*k + 7*k - 3*k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 n when two letters picked without replacement from gtssgtttgngcttg.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -230 + 5?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5 plus 46077.32?\nAnswer: 46073.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h + 19 - 3*h + h**2 + h - h**3. Let z be s(0). Suppose 25 + z = 2*m. What is the remainder when 43 is divided by m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 12*v + 6. Let d(g) be the first derivative of v*g + 0*g**3 + 7\/4*g**4 + 0*g**2 + 1. What is d(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, 400\/7, -4, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(-9)*(-2085)\/22240*18*3\/21\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g*h*j**3 - 8*g*h*j - 166*g*j**3 + 2*h*j**3 - 52*h*j**2 + 619*j**3 wrt g.\nAnswer: h*j**3 - 8*h*j - 166*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4358620*a**2 + 10483099?\nAnswer: -8717240*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 139 and 556?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 203616 a multiple of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2665159?\nAnswer: 7, 109, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36*k**3*t**3 + 12*k**3*t*z**2 + 2*k**3*z**2 - 2*k**3*z + t**3*z**2 + 2*t**3*z wrt z.\nAnswer: 24*k**3*t + 4*k**3 + 2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-45))\/(13\/(-39)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -3)\/((-111)\/(412587\/(-126))).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3967757 to the power of 1\/2, to the nearest integer?\nAnswer: 1992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6165099 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(-1)\/2 - (-585)\/(-130). Let c(f) = -f**3 - 5*f**2 - 3*f + 2. Give c(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.396 rounded to 1 decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggpjp. What is prob of sequence ggp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 289165849 to the nearest integer?\nAnswer: 17005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -13*f - 18*f - 12*f. Let z(x) = 2*x. Calculate q(z(m)).\nAnswer: -86*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -11*r + 401. Let o(u) = u + 2. Let f(q) = k(q) - 3*o(q). Let v be f(28). Let y(d) = -3*d**3 + d**2 + d + 2*d + 2*d**3. What is y(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2507?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 144657 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272 = 2*o + 2*t - 6*t, o + 8*t = 186. What are the prime factors of o?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m + 22. Let g be o(-19). Suppose -2*i + 35 = g*i. Find the second derivative of 3*r**3 + 43*r - i*r**3 - 35*r wrt r.\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 16*b - 53. Give o(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 207 - 117. Let v = -63 + y. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 536 - 543. Let x(g) = 2*g - 2. Calculate x(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10806)\/(-30617) - ((-1299)\/(-102)*10 - 4).\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -38\/6645?\nAnswer: -38\/6645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - v**2 + 3*v + 40. Let k be m(0). Suppose -5*x - w = -119, 4*w - 10 = 2*x - k. Solve -3*q + 2*d - 5*d + 15 = 0, -5*q - 4*d + x = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 + 30 - 186 - 596 - 69 - t**2.\nAnswer: -3*t**2 - 821","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**3 - 2*m + 12 + 8 + 5*m**4 - 18 + 11*m**4 + m**2 + 16*m**4 to the form p + w*m**3 + f*m**4 + s*m**2 + i*m and give f.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 + -34. Let n be (3\/y)\/3*6. Suppose 0*b - 10 = 5*b. Put 15, b, 0, n in descending order.\nAnswer: 15, 0, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 20*w**2 + 4*w + 3. Let c be j(-4). Let g = c - 150. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 0 + 3 = 0. Let r be (0\/1)\/(1\/j). Is -2\/11 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 826 + -556. Let j be 0\/1 + 6\/l*-5. What is the biggest value in 8, 0.2, j?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -40*k. Let s(j) be the second derivative of j**3\/6 - 11*j - 40. Calculate b(s(c)).\nAnswer: -40*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1784 is divided by 278?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59324, 118645, 177966, 237287, 296608, 355929?\nAnswer: 415250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, -246, -382, -522, -666, -814, -966?\nAnswer: -1122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*z**4 - 13*z**4 - 14*z + 4*z + 17*z**4 wrt z.\nAnswer: 240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -71\/6*z**3 + 28 - 2\/3*z**4 - 1\/30*z**6 + 0*z**5 - 4*z + 0*z**2. What is the second derivative of o(a) wrt a?\nAnswer: -12*a**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-19012)\/(-16) - (-1)\/(-4 + 0). Let d = a - 751. What are the prime factors of d?\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 584 + -392. Let u = t + -183.1. Round u to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 25*z**2 + 610*z + 1870. Let p(g) = 6*g**2 - 1. Let w(x) = -b(x) + 5*p(x). Factor w(t).\nAnswer: 5*(t - 125)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 2640 = -10*n. What is the highest common factor of 48 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 618 + -618.09. What is the smallest value in -1, -15, h?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12784\/22372 + 118\/(-182).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.17048+1\nAnswer: 0.82952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqs when three letters picked without replacement from {q: 4, e: 6, s: 3}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1431 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**14*s*s*s\/(s*s\/(s**(-14)\/s)))\/(s\/s**(1\/3)*s**(-10\/9)) assuming s is positive.\nAnswer: s**(4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.18 + -3.69. Let a = x + 0.77. Let j = -0.1 - a. Sort 1, 3\/5, j in decreasing order.\nAnswer: j, 1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*-1463.\nAnswer: -19019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 + 110*k + 3152. What is q(-20)?\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 3 + 14 - 17 - -7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 5*o**2 + 3*o - 4. Let d be h(-4). Let p = 382 - 373. Is d at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, o: 1, i: 3, b: 6, z: 1, a: 4}. What is prob of picking 2 j and 1 b?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -8*t - 2*t**3 + t**2 + t**3 - 3*t**2 + 2*t**3 + 6. Does 5 divide i(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, u: 4}. Give prob of sequence zzu.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -4*y + 52, 0 = -5*y + 4*r + 59 + 6. Solve 3*z - 3*i - 8 = 7*z, 2*i = 5*z - y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13123320033 + 11?\nAnswer: -13123320022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0, 3, -3\/7, 0.4.\nAnswer: -0.5, -3\/7, 0, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83 by -5934145.\nAnswer: -83\/5934145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/1 - (-14)\/7. What is the highest common factor of d and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114153 divided by 13\nAnswer: 8781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121, 68, -21, -146, -307, -504?\nAnswer: -737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68)\/(17\/1)*(-4)\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 10*a**2. Let k be i(10). Suppose -5*j + 8 + 46 = 2*w, -4*w + j + 86 = k. Calculate the lowest common multiple of w and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-1) - 3 - -3. Solve a = -2*v - 2, 3*v - a = 4*a - n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4701458600 to the nearest 1000000.\nAnswer: 4701000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -87 + 85 + 1*(7 - 2). Suppose 5*t + 0*s = -s + 3975, t - q*s - 779 = 0. List the prime factors of t.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48108 and 18468?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 765955 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: Let w = -449 - -127. Let l = w - -1288. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, w: 1, r: 5}. Give prob of sequence yr.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5488 + -5466. Solve 12*n = -x*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -382, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 7:22 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i + 2*i - i + (-2*i - i + i)*(4 - 1 - 1) + (-94 + 94 - 24*i)*(-22 - 30 + 39) + 2*i + 0*i + 2*i to c + u*i and give u.\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -599567, -1199139, -1798711, -2398283, -2997855, -3597427?\n\"Answer: -599572*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 4*g = -7*g + 18, -g + 11 = -2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/6 - (-2)\/(-6). Let l be 0\/(-2 - (c + 2)). Suppose 0 = -2*u - l*u + 20. Calculate the lowest common multiple of u and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y - 3. Let z(w) = 1. Let d(l) = n(l) - 3*z(l). What is d(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19278 + -19265. Solve 55*k - m*k = 42 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**16)**(6\/5)*x**(2\/5)\/x*x**(-3\/14) assuming x is positive.\nAnswer: x**(1287\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 127 + 1070?\nAnswer: 1217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8859792 hours to microseconds.\nAnswer: 3189525120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**2 - 2*n + 2. Let o(s) = 14*s**2 - 11*s + 11. Let d = 6 + -2. Let r(y) = d*o(y) - 22*f(y). Let c(z) = z**2. What is c(r(i))?\nAnswer: 100*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from ahhh.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11020211001 (base 3) to base 8\nAnswer: -243365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 236511619\/5 and 47302324 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 5*g + 30. Let s(i) be the first derivative of 0*i + 9\/4*i**4 + 11 + 3\/2*i**2 - 3*i**g - 3\/5*i**5. Suppose s(l) = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-36)\/(-7))\/(-18))\/(1\/(-21))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -152 - 1a?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 8768 to the nearest 100.\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 10406.41.\nAnswer: -1040.641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-77)\/(126*17\/612).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - 22235113?\nAnswer: -22235102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1842935, -3685864, -5528793, -7371722, -9214651, -11057580?\nAnswer: -12900509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 4*i - 10 = 0, 2*i - 1241 + 1251 = -4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 + 38. Suppose -2*o + 5*y + 185 = 0, 0 = -o - 0*o - n*y + 99. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(4\/(-8))*(-12)\/(-24). Solve 2*m - 3*m + l - t = 0, 3 = 5*m + 3*l for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1133100424 + 10?\nAnswer: 1133100434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + h + 0*h + 3*h = 61, 0 = 729*y + 12*h - 11*h + 3626 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 64\/126 - 22\/77. Which is the biggest value? (a) 6 (b) -2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6806011674?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31811989.\nAnswer: 11, 262909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 52220459 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3))**45\/(f*f**7\/f)**(2\/15) assuming f is positive.\nAnswer: f**(-2039\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.21 - -8.21. Suppose -151 - 401 = 141*l + 12. Is l at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2476*i + 2467*i = -18. Let a(o) be the first derivative of 0*o**i + 5 - 3\/4*o + 1\/4*o**3. Find t, given that a(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 7:50 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 20 = -21. What is the hundreds digit of (b - 0)\/((-11 + 4)\/(-931))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6232.44186 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -4.4. Let h be (-1 - (0 + 2)) + 11\/3. What is the nearest to 1 in i, 0.13, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 y when four letters picked without replacement from cyjlscqjjyy?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 5*r. Let f(b) = b**2 - b + 1. Let l(g) = 4*g**2 - 3*g + 3. Let m be -15*(4\/6)\/(15\/(-9)). Let q(v) = m*f(v) - 2*l(v). What is c(q(h))?\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 326102?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13732324253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 2*a - 4. Let c be q(0). Let p = c - -5. Is p bigger than 1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from drdrrd. Give prob of picking 3 r.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 5*t - 45, 0*t + 13 = -2*s + t. Let h be ((-4)\/8)\/((-2)\/s). Let g(f) be the first derivative of f**4\/2 + f**3\/3 - 7. Determine g(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 - 5)*(251*c - 251*c - 22*c**4) to the form b + z*c**3 + w*c**2 + s*c**4 + x*c and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o**2 + 3*o + 4. Let k(x) = -4*x**2 - 2*x - 3. Suppose 5*r - 100 = -85. Let u = -5 + 9. Give r*l(n) + u*k(n).\nAnswer: -n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5c4a94 (base 16) in base 4?\nAnswer: 113010222110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27888527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3493 is divided by 578.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00110504798 to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1390693, 1390711, 1390741, 1390783?\n\"Answer: 6*z**2 + 1390687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -334 + 124. Let c = g - -210. Suppose 0 = 2*s - s - 4. Solve -r + 12 = -s*i, i = -2 - c for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {d: 5, r: 3, j: 10, n: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*u - 19 = 12 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3094*z**2 - z + 1800*z**2 + 3 + 1722*z**2 + 1963*z**2 in the form m + n*z + c*z**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrqrruqqrrgrgrrguq. What is prob of picking 3 r and 1 q?\nAnswer: 28\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/2*(756\/(-27))\/112)\/(-2)\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.08648 - 0.0696092. Let k = 0.017 - c. What is k rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1566 divided by -2.\nAnswer: -783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2985942581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.14 in 6, -2\/5, 0.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.1 + -0.9. Let u = i - -17.1. Let w = u - 11.5. Round w to 0 decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-7) - 108\/(-63). Solve -y*t = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 4*y**2 - 4*y + 3. Let x be j(-5). Let q be (-16)\/(1*x*4\/(-8)). Let c be 172\/(-10) + -3*7\/(-105). Which is greater: c or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 195, 386, 577, 768, 959?\n\"Answer: 191*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + 0)*2*5 + -2 + 4*((sqrt(192) - (-1 + sqrt(192)))*2)**2 + 5.\nAnswer: 19 + 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (((-104)\/(-36))\/13)\/((-70)\/(-21))\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2835\/150 - 18)*(-40)\/48\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.68 - -11.98. Let b = -16 + 23. Let a = b + -7.3. What is the closest to v in a, 1, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h - 20. Let f be a(-6). Let x be ((-30)\/9)\/(f\/(-6)). Is -10 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 6*h - 57. Let b be s(13). Let l be -8200005 + (-7)\/(b\/(-15)). What is l rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/2*22\/(-88)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*j + 114*j = 75 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/12)\/((-1)\/116). Suppose 5*d - k = 11. Let r = 12 - -1. Calculate the remainder when r is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n. Let w(v) be the third derivative of -v**5\/120 + v**3\/6 - 2*v**2. Let l(b) be the first derivative of w(b). Determine l(i(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1608*a + 188190 = 1541*a + 541*a for a.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 359688357?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 13) to base 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o**2 + 24*o. Let i be c(-5). Let s(u) = -11*u + 57. Let f be s(i). What is the closest to -0.2 in f, 0, -4\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -2 - (-3 - -8)) + (302 - 308)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.02 - -0.42. Let l = 0.35 - 1.35. Let j = 1.1 + -1.2. What is the second biggest value in j, l, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 40*d - 369*d + 789 - 20*d - 419*d - 113 wrt d?\nAnswer: -768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1746 and 1422.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(3*g**3 + 0*g**3 - g**3)*(-4*g**2 + 4*g**2 + 4*g**2) - 3*g**5 + 2*g**5 + 4*g**5.\nAnswer: -13*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2 = -0*w - w, 2 = 3*w + 2*g. Let l(s) = -s**2 - 3 + 1 + w. Let r(c) be the first derivative of -c**3\/3 - 1. Give r(l(m)).\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6151.939 - -6155. Round p to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 4 + 2 + (2 - 4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 380 - 0. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + -2)*-1 + 1*sqrt(128) + -3 + 4*1*sqrt(128)*-1*-6)**2.\nAnswer: -384*sqrt(2) + 73729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 4837*s + 29056. Determine p(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 597606.1ms to microseconds.\nAnswer: 597606100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1642882 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 199654600 and 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15736 - -15736. Let t(z) = 3*z - 6 + 4 - 2. What is t(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, 2, 0.042, -2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8\/10 - (15 + -15)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 25, 177, 3, -4, 5 in decreasing order.\nAnswer: 177, 25, 5, 4, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 3*m + 309, 4*i = -0*i + 2*m + 642. Suppose 0*p + 4*p + 36 = 4*w, 3*p + 7 = -2*w. Suppose c - w*c + i = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, m: 3, w: 1, i: 3, h: 6, c: 1}. What is prob of sequence msi?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 58 times -7\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 77*n**2 - 195*n**2 + 44*n + 79*n**2 + n**3 - 204. Let m be z(38). Solve 0*f - 2 = -2*f + 4*w, m = 4*f + 2*w for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1190 (base 12) in base 4?\nAnswer: 132330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -73 - d + 4*d - 1 - 297 + 967 as v*d + o and give o.\nAnswer: 596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, u: 1, w: 2, i: 2, p: 1, r: 1}. What is prob of sequence pzu?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 6*d + 4. Let t(c) = 32*c + 22. Let y(h) = -2*t(h) + 11*z(h). Let k(v) = -10*v + 6. Calculate y(k(w)).\nAnswer: -20*w + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4816.191 rounded to the nearest integer?\nAnswer: 4816","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*i + 86*i + 26 + 68*i - 219*i - 264*i**2.\nAnswer: -264*i**2 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -7 + (5 - 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4458 or 4464?\nAnswer: 4458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vqvmmmmv. What is prob of sequence vvqv?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*f - 17 = -49, w + 4*f = 23. Let o be 1 + 2 + w\/3. Suppose 0 = 3*t - o*t. Let d(s) = -s + 11. Give d(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20028215 is divided by 87843?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 9:26 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 697*t - 349*t - 170 = 365*t for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3 - (-1 + -11)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/20 - 2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q - 9. Let a(f) = 4*f + 1. What is a(x(t))?\nAnswer: -8*t - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 24 + 3*t**2 - 2*t + 8*t - 4*t**2 + 3*t. Let c be k(10). What is the greatest common factor of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 8*b - 14 = 3*b, 2 = b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1533 (base 8) in base 16?\nAnswer: -35b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p + 20*p - 5 = 6*f, -8 = -3*f + p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 1345 + 314 = 0. Suppose -k - 759 = -4*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b24 + 3?\nAnswer: -b21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 17 = -4*q, -2*t - 349862 = 3*q - 349849 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5596, -11048, -16500?\n\"Answer: -5452*w - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 61*s**2 - 625*s + 13. Let w be c(-13). Let -6 - 85\/2*x**2 + w*x + 3\/2*x**5 + 65\/2*x**3 - 23\/2*x**4 = 0. Calculate x.\nAnswer: 2\/3, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6662215 = -26*f - 2156415. Round f to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 42217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 35*s - 3446. Determine f(99).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.6*1499.\nAnswer: 8394.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1271995145.57 + 1271995481.570000745. Let w = l - 336. What is w rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {o: 4, u: 14}.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-62985)\/(-377) + (-472)\/116 + 4 is divided by 37?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 44.987 and -140?\nAnswer: -6298.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5*d**2 - 3*d. Let q(x) = -6*x**2 - 4*x. Let i(g) = g**2 + 10*g + 21. Let b be i(-6). Determine b*q(l) + 4*k(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/30)\/((-102)\/765). Is -4\/225 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b4660 (base 12) to base 9.\nAnswer: 1337280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*n - 5. Suppose -3*i + 2 = -7. Let l(c) = 4*c + 0 - 5*c**2 - i - c**2 + 1. Calculate l(n).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1750, 5 in descending order.\nAnswer: 1750, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from euuguege. Give prob of picking 1 u and 2 g.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*w = 64*w + 252. Suppose 31 = w*u - 5. Solve o - 3*o - 2 = u*t, 5*o - t - 13 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23224 - -ba?\nAnswer: 23322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + 2*q**2 - 5*q**2)*(-1264 + 633 - 82*q**2 + 631) + (-q**2 + 3 - 3)*(0*q**2 - 6*q**2 + 3*q**2).\nAnswer: 249*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + x - 3)*(-15807 - 28753 - 15336 + 6896 + 13187 - 19302).\nAnswer: -59115*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -431 - -430. Let s = -0.32 - 2.68. Which is the biggest value? (a) s (b) 4 (c) -2 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -6*q - 9. Let x be j(-4). Let l = x + -1. Suppose -t = a - 0*a - l, -t - 40 = -5*a. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 16*s**2 + 0 - 1\/24*s**4 + 0*s + 7\/3*s**3. Is 12 a factor of h(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 13*p - 10. Let g(c) = 39*c - 29. Let k(d) = 6*g(d) - 17*u(d). Suppose -2*w + 6*w = 5*j + 50, -55 = -3*w - 5*j. Is k(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*d = 50*d - 3*a - 30, -7*d + 3*a - 2*a + 28 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 892, 3558, 7992, 14194, 22164, 31902?\n\"Answer: 884*v**2 + 14*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -35 + -257?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 20323, 40673, 61023, 81373?\n\"Answer: 20350*f - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 3 + 738\/3. Suppose -4*z + o = -0*z. Is 31 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34929561 less than or equal to -34929560?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) 0.008 (b) -1\/7 (c) -0.02 (d) 343\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -14. Is 8 a factor of (p - 2)*8*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, s: 2, c: 1, d: 3}. Give prob of sequence sdsm.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(8*h + 3*h**2 - 15*h - 5*h**2) + h**2 + 0*h + 0*h.\nAnswer: 5*h**2 + 14*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oixxynx. Give prob of sequence ix.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 4*f - 945. Let j be 12 - 8*1140\/(-80). Calculate the greatest common factor of f and j.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.25 + 0.05. Let s = 0.01 - 4.01. Let c = 6 + s. Is a greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4209 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -97*m**5\/5 + 716*m**2. Let z(x) = -2*x**2. Determine d(z(v)).\nAnswer: -4656*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3844 (base 11) to base 14.\nAnswer: -1b7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**3\/4 - 591*j**2 + 1777557*j\/4 - 887595\/2 = 0.\nAnswer: -1259, 1, 470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**3 + 17*v**2 - 105*v + 38. Give q(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j - 1 + 6 + 5 - 10.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 6*z + 11. Let x be m(-7). Let o be 1 + 4*x\/8. Suppose -2*w + 22 = -0*w - o*t, -31 = -3*w + 4*t. Solve -w*r = -4 - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-7))\/((-41)\/((-35588)\/(-620))).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 134813 times 326\nAnswer: 43949038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, -7, 2.72.\nAnswer: -49, -7, 2.72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 16) to base 8\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (1 - 3 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1056274.5 rounded to the nearest one thousand?\nAnswer: -1056000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -0.048, -0.5, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-17)\/((-2)\/(-6)*1). Let d = w - -29. Let q = 38 + d. Solve g + 28 = -5*f, -q = 3*g - g + 2*f for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0904485 to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/5*9*(-135)\/18. Let v be ((-6)\/(-4))\/(5\/90). What is the greatest common factor of v and n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74009152 by 144832.\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*b + 259 + 53 - 22 = -1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 14558 in decreasing order.\nAnswer: 14558, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25b (base 13) to base 7.\nAnswer: 1131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 890 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, -24, 0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = h - 59. Suppose 8*b + h = 368. Let v be -5*(b\/15)\/6. Let u(l) = -l**2 + 3*l + 2. What is u(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -455531 (base 6) in base 7?\nAnswer: -221206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a microsecond in nanoseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 1\/2*g**2 + 1\/2*g**5 + 0*g**3 - 1\/6*g**4 - g + 0. What is the lowest common multiple of 9 and f(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (-6 + -11 + 0 - -32).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11566*d**2 - 11312*d**2 - 7055*d**2 + 3746*d**2 + 6272*d**2 to w*d**2 + s + x*d and give w.\nAnswer: -19915","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c\/((c*c**0*c)\/c*c)*c)*c*c**(6\/5))\/(c**(-2\/9))**(-5) assuming c is positive.\nAnswer: c**(49\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -3 + 3 - 1 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-11)*d**4\/d assuming d is positive.\nAnswer: d**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 546392.1ug in tonnes?\nAnswer: 0.0000005463921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*f - 4*g, 0 = -2*g + 5*g + 12. Suppose -w - 81 = 4*i, 2*i + 2*i = -3*w - 83. Calculate the remainder when 77 + f*(-4)\/i*5 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 10*g - 23. Calculate u(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s + 11. Let k be b(-9). Let y be (-103)\/(k + -4 - -1). Let m = y - 23. Is 20 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 791 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -8*y**3 + 19*y**2 - 11*y + 16. Let z be 44\/(-11) + -6 - -12. Give q(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228189?\nAnswer: 3, 13, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0)**(2\/45)*(y*(y*y**(-4)*y)\/y*y)**(-13))**(-43) assuming y is positive.\nAnswer: y**(-559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = -u - 357. Let l = 54 - u. What is the derivative of x**4 + l*x**2 + 9 - 3*x**2 - 5*x**4 wrt x?\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1)\/(-3))\/(2\/246) is divided by (-290)\/(-20) - (-2)\/(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-4) + (-5613)\/44. Let i = -128 - o. Let t = -0.3 + 0.3. What is the third biggest value in i, 2, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -5 + (-57 - -9 - -23)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -134 - -133.857. Let y = 0.787 - g. Round y to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 1:09 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7*d**2 + 8*d - 85 + 159 - 73 + d**3. Let o = -12 + 30. Suppose -2*r - r - o = 0. What is p(r)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 12 = -x, 2*x + 4*v - 27 = x. Calculate the lowest common multiple of x and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -4, 4 in increasing order.\nAnswer: -31, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199674 is divided by 207.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*q - 2804 = -461*q - 24691 for q.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51744 + -51741.4971. Let c = -12.5 - -10. Let w = c + p. Round w to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 214 (b) 0.013 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**2. Let l(x) be the second derivative of 0*x**2 - 5\/12*x**4 + 0*x**3 - 9*x - 5. Give h(l(u)).\nAnswer: 75*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 0 - 7 + 0*n + 3*n + n**2. Let j be ((-32)\/12)\/(2\/6). What are the prime factors of h(j)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 202122 and 74860.\nAnswer: 2021220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((-43)\/((-559)\/(-442)))\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**4 + 7*p**4 - 6*p**4 + 100*p**3 - 100*p**3 - 21*p**4 + (-3*p**3 + 4*p**3 + p**3)*(0 + 0 - 2*p) + 12*p**4 + 2*p**4 + 8*p**4.\nAnswer: -5*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, i: 2, y: 1, n: 1}. What is prob of picking 2 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 31, 0, 2, 3 in ascending order.\nAnswer: -2, 0, 2, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -68*z**2 - 22302*z + 623. Give b(-328).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 8:09 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((16527\/(-9))\/7)\/((-16)\/(-48)). Which is bigger: d or -788?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6277092 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/4*0 - -4. Let j be (5 + -2)*1 - -1. Let n be j + 2\/(-4)*4. Solve -t + 2*i - 16 + c = 0, 5*t = n*i - 28 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -53 - -14?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9811186 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b + 41 - 44 + 12*b)*(3 - 3 - 2*b) to the form y*b**2 + k*b + t and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -29.74423692 and 0.3.\nAnswer: -29.44423692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 - 2*n**4 + 3*n**4 - 25*n + 3*n**3 + 2 + 9*n to w + v*n**4 + k*n + i*n**2 + z*n**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*h - 3 = -88*h. What is the second derivative of -12*k**3 - 30*k**4 - 22*k - 28*k + 12*k**h wrt k?\nAnswer: -360*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -3.1. Let r = -44144\/11 + 4014. What is the fourth biggest value in r, 0.4, 0.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rhy when three letters picked without replacement from {i: 4, l: 2, r: 1, h: 3, a: 2, y: 3}.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1850)\/3*(383163\/(-102) - 1\/(-2)). What is c rounded to the nearest ten thousand?\nAnswer: 2320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -9. Suppose 3*n + 12 = x, 4*t + 4*n - n + 24 = 0. Are t and -3 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3 + -2 + sqrt(1377) + sqrt(1377) - 2*sqrt(1377)*-1 - ((sqrt(1377) + 0 + -4 + sqrt(1377))**2 - (sqrt(1377) + (sqrt(1377)*-1)**2*-2))) + 1.\nAnswer: -8273 + 189*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1317734 and 3212.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 3*s**2 - 4*s - 4. Let v be c(-3). Let t be 2*(-30)\/v*2. Let k = -8 - t. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + 1. Does 7 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 842*v - 417*v - 425*v + 26*v**3 - 2.\nAnswer: 26*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 154298384*w**4 + 302142*w**2 + 185 wrt w?\nAnswer: 3703161216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10102000101122 (base 3) to base 7\nAnswer: -21252146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 148.5848mm in micrometers?\nAnswer: 148584.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 4) + (4 - 3) + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 1. Let x(u) = 28*u**2 + 2. Determine -2*p(q) + x(q).\nAnswer: 30*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -113465 + 5.\nAnswer: -113460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (7 - 10)\/(1774\/1780 - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 - 43 + 775*n)*(0*n**2 + 0*n**2 - 2*n**4).\nAnswer: -1550*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 12:06 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + -1 + sqrt(68))**2 + -1 + -1.\nAnswer: -8*sqrt(17) + 271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + f**2 + 11*f + 9. Let y(m) = -m**3 - 16*m**2 - 19*m - 56. Let l be y(-15). Let h be t(l). Let n(j) = j**3 - 6*j**2 + 6*j + 4. Calculate n(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 57752 - -935?\nAnswer: 58487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20 + -27 + (6075012 - 5). Round h to the nearest 100000.\nAnswer: 6100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7b (base 16) to base 8.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/12*(-60)\/(33\/(264\/16))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -111, -450, -6?\nAnswer: -450","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.132 + 210.332. Let u = -206 + g. Round u to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 48 = -7*p. Suppose 11*n - p*n = -144. Let s = 86 + n. List the prime factors of s.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ztu. What is prob of sequence zu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48260.65nm to kilometers.\nAnswer: 0.00000004826065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -327, -855, -1733, -2961, -4539, -6467, -8745?\n\"Answer: -175*j**2 - 3*j - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-3 + -23 + 4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.012 times -0.02\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -225 + 150. Let l = p - -297\/4. Let f be 4\/(-8) - (-12)\/(-8). Which is the nearest to 1? (a) f (b) 0.5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4256301481.\nAnswer: 131, 32490851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 4. Suppose 5*m + u*l - 29 = 0, 4*m + 4*l = 9*l + 43. Suppose 3*z - 5*k + 32 = m*z, 27 = 3*z + 3*k. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 39, 101, 209, 375, 611, 929?\nAnswer: 1341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/(-4) - 0\/(-4). Let z be ((-6)\/(-2) - 3)*(-2)\/g. Let h = 239\/2345 + -2\/35. Are z and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -73367574 (base 8) to base 15.\nAnswer: -15803b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2626?\nAnswer: 2, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42*u**2 + 39*u**2 - 10 + 27*u**5 - 82*u**2 - 2*u**5 wrt u?\nAnswer: 1500*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47959043 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-70)*-2*1\/(-1)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44846074?\nAnswer: 2, 7, 13, 35201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 100*a**2 - 731*a + 1710. What is u(-107)?\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.062, -5, 0, -1, 0.18, -2\/49, -1\/2?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -47, 4 in ascending order.\nAnswer: -47, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -300300 (base 7) to base 2\nAnswer: -1100010110001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -3, 2, 1\/10 in descending order.\nAnswer: 5, 3, 2, 1\/10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5 - 1)*(-3*t + 2*t - t)*(465*t + 340*t - 101*t + 156*t) to the form d*t**2 + b + r*t and give d.\nAnswer: -1720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/13)\/k**(-7)*k\/k**(-5)*k*k*(k*(k*k**(-5))\/k*k)\/k*k assuming k is positive.\nAnswer: k**(154\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 10 = -3*k. Is ((-9)\/(-2))\/(1\/k) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -426?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - q + 12*q**2 - 8*q**2. Is o(-6) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 + 5*x**2 - 9*x**2 + 3*x**2 - 5*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10756044 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by -4959.\nAnswer: -2\/551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1122212100201 + -211?\nAnswer: -1122212101112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 7*t = -0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/952 and -79\/1218560.\nAnswer: 1218560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**4 - 10481*t**3 - 62858*t**2 - 83800*t = 0.\nAnswer: -10475, -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 15*s**2 + 13*s - 10. Let y be l(-14). Suppose 0 = -3*z + 4*w + 10 - 1, -4*w + 12 = y*z. Let f(p) = 163 + 0*p + z*p - 163. Give f(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y**3 + 16*y**3 - 3*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1924921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100000100101111 (base 2) in base 6?\nAnswer: 1020543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*g + 3*d, g + 66*d - 2 = 68*d. Find the third derivative of 5*c**6 - 149*c**2 - 4*c**6 + 5*c**4 - 23*c**6 - 36*c**g - 3*c**4 wrt c.\nAnswer: -2640*c**3 + 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 0*p + 13 - 8 + p + 13. Let i be f(-15). Is 20\/15 + 2\/i even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -4*y - 14 - 10, -y - 2*f + 3 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12950 by 185.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12059, 12093, 12127, 12161, 12195?\n\"Answer: 34*w + 12025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21644 and 3360.\nAnswer: 2597280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12*(-116)\/8*-6 + -1. Suppose 9*t - 4859 + a = 0. What are the prime factors of t?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -3. Suppose 0 = s*j - 0*j - 384. What are the prime factors of (-4)\/10 + j\/20?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v + 1 = 5*n + 9*v, 3*v - 9 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -622*r**2 - 1539*r wrt r.\nAnswer: -1244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -6 - j**2 + 3 - 6*j + j + 7. Let q be b(0). Suppose 5*r - 60 = c, r + 36 = q*r - 4*c. Solve 0 = z + 2*z - r for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/18 - -3) + (-3)\/(-18)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 11*g - 7*g. Is g < -4\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*c + 3*u = 68*c + 20, -u = 5*c + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 2*z = -47, -4*s + 340*z = 343*z + 33 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -0.1, -1494854, -2\/7 in decreasing order.\nAnswer: 2\/13, -0.1, -2\/7, -1494854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-1911)\/(-441))\/((-234)\/(-1674))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 209319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k - 20. What is s(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**4 + 0*h**3 + 0*h**3 + ((h**4 - 4*h**4 + 2*h**4)*(15 - 37 - 28) - 13*h**4 - 11*h + 11*h)*(-3 + 1 + 0).\nAnswer: -77*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 6*b + 1. Let t = -10 + 15. Let w be k(t). Suppose w*l = l + 25. What is the greatest common factor of 40 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 130 - 133. Calculate the common denominator of 22*h\/(-15)*(-44)\/(-16) and 95\/482.\nAnswer: 2410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 17*c + 4. Is d(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36487.\nAnswer: 11, 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 12:23 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 1. Suppose -85*x - 18*x = -1545. What is the highest common divisor of x and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3049 from -4.\nAnswer: -3053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 21 = -3. Let n = -8 + y. Suppose 0*c - 5*c + 15 = n. Solve 0 = c*w - 2*w + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 2, 4, 1, -5, 104, 15 in descending order.\nAnswer: 104, 15, 4, 2, 1, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*c**4 + 12*c**3 - 105*c**2 - 617713*c - 5 wrt c?\nAnswer: -84*c**2 + 72*c - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32? (a) 1 (b) -2 (c) -0.2 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 6\/7*g + 1\/21*g**3 + 1\/2*g**2 - 1. Factor s(i).\nAnswer: (i + 1)*(i + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1454154 is divided by 1189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6a (base 13) in base 3?\nAnswer: -10021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -2) + -24 + (44 - 48)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8543 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/4 + 664*j**2 - 2659*j + 2660.\nAnswer: (j - 2)**2*(j + 2660)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*a - 2844*a**3 + 2845*a**3 + 1 - 174*a**2 to r + q*a**3 + o*a**2 + y*a and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10a - -1?\nAnswer: 10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 143572 (base 9) to base 10\nAnswer: 87950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31215.877 less than -0.2002?\nAnswer: -31216.0772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 144. Let l = -126 + m. Suppose 5*n + 2*o = -16294, 3*o = l*n + 2*n + 13049. Round n to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((10\/(-5))\/(8\/36))\/((-9)\/6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -146 + 452. What are the prime factors of s?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*z - 5*z - 24, -8 = -a + 2*z. Find the common denominator of 29\/66 and 354\/a*(-2)\/(-21).\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41208688 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*v - 36*v + 7738 = -7942. Calculate the highest common divisor of v and 2700.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17825116?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.5 greater than or equal to -16\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 7:07 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 - 2635*o - 352443. Determine i(-151).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103, 108, 113, 118, 123, 128?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -161*p - 1614. Determine d(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7749 divided by -9?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f + 2. Give c(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (29 - 25) + -6 + -1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**2 + 7*n + 7. Let b(m) = -9*m + 49. Let g be b(5). Let k be z(g). Solve -3*w = k*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*u + 15*u + 4 - 102 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 + 3 + 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-11\/6)*i)\/(i**9*i))**(7\/8))**(-37\/3) assuming i is positive.\nAnswer: i**(16835\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 3*s + 24, 2*s = 5*r - 0*s + 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -603 - -1683. What is the least common multiple of (-6)\/33 - (c\/33)\/(-4) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1599 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-6) + (-3 - (-1864)\/24).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 227*n**2*w**4 - 72*n**2*w**2 - 5*n*w**2 + 3*n - 33*w**4 + w**3 wrt w.\nAnswer: 5448*n**2*w - 792*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -464*a + 462*a - 31, 5*r = 3*a - 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 3*p)*(0*p**2 + 3*p**2 - 5*p**2) + 3*p**2 + 4*p**3 - 3*p**2.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 8*u - 14. Let t be w(-6). Let o be (t + -2)*2\/(-4). Let c be ((-220)\/10)\/((-12)\/o)*6. What is the highest common factor of 11 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 45*v**2. Let l(c) = 39*c - 22*c - 40*c. What is l(q(h))?\nAnswer: -1035*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 114242072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/6)\/((-8)\/(-5808)). Round w to the nearest 10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -86674*j**3 + 251*j + 55198050?\nAnswer: -260022*j**2 + 251","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 160*q**5 - 319*q**5 - 10*q + 161*q**5 + (q**4 + 3*q**4 - 3*q**4)*(0*q - 2*q + 3*q).\nAnswer: 3*q**5 - 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, i: 2, n: 8}. Give prob of picking 2 a.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (126\/20)\/(-7)*(-10)\/6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19682610 divided by -3.\nAnswer: 6560870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 8:59 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1639, -1312, -985, -658, -331?\n\"Answer: 327*g - 1966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 46*t + 149. Let n be z(49). Suppose -3 + 8 = 5*v. Suppose 9 = 2*a + v. Solve -n*p - 2 = 4*l, -a*l + 3*l + 3*p + 17 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((141\/2)\/3 - 3)*6.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -220 - 1?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 - -62. Suppose 0 = c*k - 1158 - 127. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/6*4\/(-2)*1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 3:58 PM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 86125687*j**5 + 1718*j**2 + 976*j + 2.\nAnswer: 5167541220*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 61656 and 441864.\nAnswer: 1135148616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -1\/12*i**6 + 17\/60*i**5 + 1\/210*i**7 + 0*i - 134*i**2 - 1\/3*i**4 + 0 + 0*i**3. Suppose c(b) = 0. Calculate b.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10816\/(-52))\/(-52)*(-1)\/((-4)\/7)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1954252 and 7928.\nAnswer: 3908504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 q when two letters picked without replacement from {y: 6, q: 4, z: 2}?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -69*x + 299. What is the units digit of d(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*c - 38*c = -17*c - 2040 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -78 + 77. Which is the nearest to -1\/15? (a) -0.5 (b) -5\/2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117189217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -2. Let c = 34\/705 + 4\/47. Is u >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7466 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*d + r - 13 = 158*d + 11, 40*d + 2*r - 272 = 0 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.396 - -7.876. Does 61 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*w**4 - w**3 - 26767*w - 616710 with respect to w.\nAnswer: -24*w**3 - 3*w**2 - 26767","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3786*a**3 - 313933*a**2 + 627867*a**2 - 313934*a**2)*(0 + 2*a + 0).\nAnswer: 7572*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -24, -8, 0.1, 0.2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - x + 6 = -3*x, -5*x = 2*b + 9. Let m = 2383 + -14369\/6. Find the common denominator of b\/(-3)*20\/8 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -17. Let i(w) = -w**2 + 1. Let h(c) = -17*i(c) - x(c). Let b(n) = 3*n. What is h(b(d))?\nAnswer: 153*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201403 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17843 or -27892?\nAnswer: -27892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 87\/2 - (-6)\/12. Suppose 6*f - 6 = 3*f, -4*j - 4*f = -t. Let y = 216 + -183. What is the lowest common multiple of y and j?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 2, 0, 3\/8, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (18\/(-24))\/(-1 - (-103)\/66) and -7\/22.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*g**4 + 12*g**3 + 13*g - 10*g + 9*g in the form y*g**4 + m + s*g + d*g**2 + q*g**3 and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -4 - 2, -5*t + 5 = 5*s. Suppose -4*y = -s*y + d, 5*d = 4*y - 9. Suppose -3*l = -31 + y. What is the highest common divisor of l and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 - (22 + -28)) + -33?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 26*q**2 + 144*q + 36. What is w(18)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -227*a**2 + 679*a + 14. Determine c(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26 + 14 - 26)*(-3*s + 107*s**4 + 3*s - 29*s**4) in the form r + j*s**2 + b*s**3 + k*s + c*s**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4296 + 4296 + 507*a)*(0*a**2 - a**2 + 2*a**2) - 13*a**3 + 25*a**3 - 14*a**3 - a**3 - 2 + 2.\nAnswer: 504*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1478694 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 3:08 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 296.26 and 3.\nAnswer: 299.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -2, -273 in descending order.\nAnswer: 0.04, -2, -273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87599\/120 - -730. Let l(k) be the third derivative of 0*k**4 + 1\/240*k**6 + 0 + o*k**5 - 6*k**2 + 0*k + 0*k**3. Determine v so that l(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8829421 kilometers to micrometers.\nAnswer: 882942100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1656?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 0*l**3 + 0*l**5 + 1\/2*l**4 - 4*l**2 - 61\/42*l**7 - 107*l + 0*l**6 + 0. Find the third derivative of q(x) wrt x.\nAnswer: -3660*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 108188386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.107, -5, 0.2, 182?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (2 - (-5 - -7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**4\/12 + 19*j**3\/6 + 7*j**2. Let s be z(8). Suppose 4*r - s*r = 46. List the prime factors of r.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 18 = -4*o + 42, 4*k = 3*o - 20. Let g be 1\/(o*(-3)\/(-12)). Suppose 5*l + 6 = v - 5, v + g = -l. What is the remainder when 2 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**5 - 74*n**4 - 68*n**3 + 2844*n**2 + 11718*n + 13230.\nAnswer: -2*(n - 7)*(n + 3)**3*(n + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 6213*m**2 - m + 2*m**3 + m - 6953*m**2 + 2*m - m**4 in the form h*m**3 + y*m**4 + z + i*m**2 + q*m and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -320796.6 and -0.32.\nAnswer: 102654.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*v - 28*v - 72. Suppose -12 = -3*o - 3*b, -2*o = -5*o + 2*b + v. Find a such that -a**2 + 1\/2*a**5 + 0*a**3 + a**o - 1\/2*a + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -4 - (8 + (-14 - (28 - 7)))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 z when two letters picked without replacement from {d: 2, z: 1, c: 2, q: 4}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1415 - -0.8585. Which is the third smallest value? (a) g (b) -7 (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -125\/6 (b) 0 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 26 + 3 + -2. Suppose 0 = -4*f + a - 8, 3*f = -s + 27. What is the remainder when 43 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3930108 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 4)*(-v**2 + 2*v**2 + v**2) + 0*v**2 + v**2 + 0*v**2 - 4*v**2 + 4*v**2 - 2*v**2 - 4 + 4 + 5*v**2 as k + p*v**2 + w*v and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = u + 2*d - 5, -3*u - 2*d = -29. Suppose 2*n = 0, -3*n = 2*w - u + 1. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(3\/(-9))*2. Let d = r - 8. Let l be (3 - -1)*(d - -4). What is the highest common factor of l and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -293*q**6 - q**4 + 118*q**3 + 2*q**2 + 158986*q - 46?\nAnswer: -35160*q**3 - 24*q + 708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28375 and 12411225?\nAnswer: 62056125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wddedeqmweewmegewewe. Give prob of picking 2 w.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 418*s**5 + 5*s**4 + 5*s**3 - 4*s - 477. Let p(x) = -x**4 - x**3 + x + 1. Let c(h) = -m(h) - 5*p(h). Find the second derivative of c(o) wrt o.\nAnswer: -8360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -26*k + 35*k + 23, 5*f + 41 = -6*k for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 2534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1 = -3. Suppose 0 = -c - a + 2. Let u(o) = -17*o. Let m(l) = -4*l. Let b(d) = 9*m(d) - 2*u(d). Determine b(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 21.6. Let m = 5.66 + -1.61. Let s = y - m. What is s rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -336\/11 in -5, 0.9, 2, -2\/9, 12491?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20812 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -498704*c + 1496173. What is k(3)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 9*m - 14*m = -10, -2 = -4*p - m. Solve p*t - 3 = -3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0054757 rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 822 and -0.07.\nAnswer: 821.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) -2 (c) -1.4 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -234139 + 195\nAnswer: -233944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 8, -3*s - 7 = -0*i - i. Suppose -3*b - 33 = 4*r, -3 = -r + 8*b - 5*b. What is the remainder when (r\/(-12))\/(2\/144) is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3 = f, 4*u = -2*f - 2*f - 12. Sort f, -5, 4, -2.\nAnswer: -5, f, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -229*j**2 - 116*j.\nAnswer: -458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-7 + 19 + -17).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -n**6\/240 - n**5\/30 - n**2 + 12*n. Factor a(w).\nAnswer: -w**2*(w + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 16 = -4*c, 2*c + 4 - 12 = -t. Suppose t = 5*a + w + 9, 4 = 2*a + 2*a - 2*w. Let f be -6 - 1*2*a. Sort 0, f, 3 in descending order.\nAnswer: 3, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 76*w - 80. Calculate v(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 30*c**2 - 7*c - 7. Suppose 16*l + 93 = -3. Let d(i) = 29*i**2 - 6*i - 6. Let x(g) = l*s(g) + 7*d(g). Let r(k) = 1 - 1 + 2*k. Calculate x(r(y)).\nAnswer: 92*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uo when two letters picked without replacement from uoi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.7 plus -4586?\nAnswer: -4592.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*f - 23*f = 612. Let c = f - 133. List the prime factors of c.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1026460 + 1026535. Suppose 0 = 3*d, 4*q - d = 4*d + 156. Calculate the remainder when u is divided by q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37164 + 57021. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -14*a**3 - a**2 + a + 1. Let k be p(-1). Let h = k - 7. Solve -h*s = -s + 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 2)*(g + 0*g - 2*g) + 5*g + g - 4*g + (0 + 2 + 0)*(-3 - 12 + 36)*(2*g - 1 + 1) to c*g + v and give c.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5636.91ng to tonnes.\nAnswer: 0.00000000000563691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259 = -29*x - 288 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4 + (6*(1 + sqrt(5)))**2 + sqrt(5) + -5 + -2.\nAnswer: 73*sqrt(5) + 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 818 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -500, -6, 4 in increasing order.\nAnswer: -500, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 22 - 83. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 110 and 99.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ru when two letters picked without replacement from {p: 7, u: 7, r: 5}?\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**3 + 21*q**2 - 7*q + 22. Let c(y) = y**3 - 14*y**2 + 5*y - 14. Calculate 8*c(i) + 5*j(i).\nAnswer: -2*i**3 - 7*i**2 + 5*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**7\/21 + v**6\/15 + v**5\/40 + 16*v. Factor n(p).\nAnswer: p**3*(2*p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 35.55133 micrometers?\nAnswer: 0.03555133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -378 - -671. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*t + 15121 = -56681, 0 = 4*q - 4*t - 143652. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3\/7 (b) 3 (c) -578 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1214129 is divided by 876?\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 + 2)*(2 - 1 - 2) - 2 - 4 + 4 + 3 + 0 - 15)*(-2*a**3 - a**3 + 4*a**3) + 4173*a**3 - 2 - 8399*a**3 + 4190*a**3.\nAnswer: -51*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3360 and 40320?\nAnswer: 40320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t**2 + 23*t - 244. Calculate m(-12).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 5. Let u be ((-2 - 123)*87200)\/b. What is u rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-10)*(14 - 60\/6)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 0 + 17*z - 7*z + 10. Let j(n) = -n - 1. Calculate -22*j(v) - 2*t(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5156 + 1400205.\nAnswer: 1395049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 4:31 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3641646661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 8 - 57) + -6 + (5 - -4) + -9?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -92*b + 30 - 30 + 92*b + 111*b**2. Let r(d) = 3*d. Calculate r(z(j)).\nAnswer: 333*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 690 - 433 = -43*s - 173 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 872, 3275, 7280, 12893, 20120, 28967, 39440, 51545?\n\"Answer: f**3 + 795*f**2 + 11*f + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 0*i**2 + i + i**4 - 3*i**2 + 2*i**2 to m*i + a*i**3 + r*i**2 + b*i**4 + j and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3850 (base 12) in base 6?\nAnswer: 45340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -40900 divided by -8180?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1611462508 rounded to five dps?\nAnswer: -0.16115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -9*f**2 - 5*f - 5. Let t(v) = -8*v**2 - 4*v - 4. What is 5*t(c) - 4*u(c)?\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 409009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 h when four letters picked without replacement from {w: 8, h: 2, u: 1, o: 2}?\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*i**2 + 234*i**2 + 778*i**2.\nAnswer: 977*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccciccicicccc. Give prob of picking 2 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 12:11 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3306*n + 1207096 = 10730*n for n.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12489\/56 + -223. Let z(h) be the third derivative of -1\/140*h**5 - m*h**6 + 0*h**4 + 0*h**3 + 0*h - 2\/245*h**7 + h**2 + 0. Factor z(b).\nAnswer: -3*b**2*(b + 1)*(4*b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 790878 is divided by 9533.\nAnswer: 9172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + 1 + -4)\/(-1*2). Solve 5*l + 0*l - 20 = 4*d, 5*l + 3*d - 20 = q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l - 4174961 + 843114 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 0*l - 2*l)*(-1440 + 44*l + 1440)*(2*l**3 + 3*l**3 - 4*l**3) + (-13*l + 8*l**2 + 13*l)*(2*l**3 + 2*l**3 - 5*l**3).\nAnswer: -228*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559670 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = 111*y + 692. What is the second biggest value in -60, -6, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -20*(-8 - 12\/(-15)). What is the second derivative of -24876*a**4 + 26*a**3 + 24876*a**4 + a**5 - y*a wrt a?\nAnswer: 20*a**3 + 156*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2369 - 0.0631. Let a(p) = p**2 + 2*p + 1. Suppose f + 1 = -0*f. Let y be a(f). What is the closest to 1 in h, y, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 - 9*i - 10. Let f be r(7). Solve 2*t = -3*t - f for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66188249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -44.1 (b) 12 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00165 to four decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -5*x**4\/6 - 10*x**3\/3 - 7*x**2 - 10*x. Let o(m) = -5*m + 2. Let p be o(-3). Let c(a) = -7*a - 7. Give p*c(d) - 6*i(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 134 - 98. Suppose f*t - 38*t = -340. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*g + 176*g + 158*g - 556*g.\nAnswer: -34*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 39*r**4 + 83505*r**3 - 1585374*r**2 + 4808520*r + 777600 = 0. Calculate r.\nAnswer: -2160, -2\/13, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/18*-1)\/(2\/6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 20030*d**2 + 64*d + 1. Let j(y) = 2*y. Calculate f(j(m)).\nAnswer: 80120*m**2 + 128*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1952230 a multiple of 334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13144343 + -2?\nAnswer: -13144345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 10 = -3*t, 2*t = 4*y - 18. Suppose 2635 = y*z + 14*z. What is the greatest common divisor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -3*b**3 + 305184*b**2 - 7761134295*b - 15523489350 = 0.\nAnswer: -2, 50865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-150)\/200*(240\/54 + 0)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*x**3 - x**2 - 307*x wrt x?\nAnswer: 24*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-2\/5)*j*j\/(j\/(j**(19\/2)*j))*j assuming j is positive.\nAnswer: j**(131\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1106299411?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3332 divided by -191.\nAnswer: -3332\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36009399801 + 3.\nAnswer: 36009399804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2057.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 + -27. What is the remainder when n is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01488 rounded to three decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -803537070 rounded to the nearest 1000000?\nAnswer: -804000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1002)\/(-78) - 2 - 20\/(-130)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.37 + -0.07. Let f = 1.3 - y. Let m = 1.3 - f. Which is smaller: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303\/2 + (-285)\/(-30) + -11 is divided by 2\/6 + (-452)\/(-12)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 2:55 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*y + 1491 = -709 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 177*h = 180*h - 356*h - 14, 42 = -4*r + 3*h for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 1958476*t. Let h(p) = 27*p**2 + 1. What is u(h(c))?\nAnswer: 52878852*c**2 + 1958476","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by (-2)\/(-5)*(14 - -26).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 719, 97, -1577, -4831, -10193, -18191?\nAnswer: -29353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 - 4352?\nAnswer: -4405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3120)\/(-224) - 14 - 24489\/(-42) is divided by 187.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 168 and (9 + -12)*(-38 - -10).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(1\/4)\/z*z))**(1\/12)*(z*(z*z**1)\/z*z)\/z**(-4) assuming z is positive.\nAnswer: z**(113\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3448659059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i - 6. Let p be x(2). Suppose -p*o + 1 = -253. Suppose 4*t + o - 967 = 0. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(60) - sqrt(60)*1))\/((1*sqrt(84))\/sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 11817?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 622093955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2478 * -1.67.\nAnswer: 4138.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xccokeeqxeqxqcecqx. Give prob of picking 2 q.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**4\/6 - 8*f. Let t(a) = 14*a**2. Calculate t(s(p)).\nAnswer: 56*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = l - 102. Sort 3, l, -15.\nAnswer: -15, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 9*b = -8*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 459748 = 58*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 - 4*d - 2*d**2 + 4*d - 3*d)*(-5 - 1 + 3)*(d - 4*d + 2*d).\nAnswer: -6*d**4 - 6*d**3 - 9*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.03 + 1.53. Let w = -1 + o. Let f = -0.29 - -2.29. Which is the nearest to -2\/3? (a) 0 (b) w (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.035*9556\nAnswer: 334.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and 20.717?\nAnswer: -14.5019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 13 = 3. Suppose 12*n - s = 10*n. Let z be (n - 1\/1)*4. What is the greatest common factor of 15 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.2, 7, 2, -0.2, 2320 in increasing order.\nAnswer: -1, -0.2, 0.2, 2, 7, 2320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -105 - -105. Solve 7*v + 27 + 8 = x for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 5:14 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10253 - -10266. Let j(x) = 2*x**3 - 3*x**2 - 3*x + 9. Let u be j(6). Let b be (-2)\/8 + u\/12. Calculate the greatest common divisor of b and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (11 - (-18)\/(-6))*(-1 - -2). Suppose -670 - 1682 = -x*i. What are the prime factors of i?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80 divided by 20\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -g**6\/120 + g**5\/10 + g**4\/24 - g**3\/3 + 2*g**2. Let n = 718 - 712. What is p(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h - 25 = 17*h + 4*p, -5 = h - 3*p for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/2, -34.9, -0.3, -2\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 0.1, 1\/3, 2\/7 in descending order.\nAnswer: 1\/3, 2\/7, 0.1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.5, 0.4, -6 in decreasing order.\nAnswer: 0.5, 0.4, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**5\/2 - 5*z**4 - 987*z**3\/2 + 3040*z**2 - 4582*z + 2040 = 0.\nAnswer: -30, 1, 4, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -31008407 + 24765.51?\nAnswer: -30983641.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3372 divided by -6?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -28206 from -5069.\nAnswer: 23137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 381\/13 (b) 2\/97 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66593556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -0.05 (c) 0.07 (d) -0.3 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000557 rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 7:44 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (22 - 19)*(-4)\/(-3). Suppose 0 = -x + i - 3. Is x > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -247 (base 12) to base 10\nAnswer: -343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) -8 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + 1. Suppose 3*h - h - l = 0. Is -3 + (65 - -2) + h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s - 1. Let u be v(-2). Does -3\/73 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -332, -671, -1010, -1349?\nAnswer: -1688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 5, 1181*x + 1170*x + 6*q = 2350*x + q + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.37 - 1.57. Sort 71, f, 3\/4 in increasing order.\nAnswer: f, 3\/4, 71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 183 + -204. Let w = 55 - 26. Let j = w + g. Solve 16 = 5*z + 2*q, q + 7 = j*z - 3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1027794 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 11 + 4*r**3)*(-6*r + r + 18*r)*(-4 + 0 + 2).\nAnswer: -104*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43*g**2*m**2*q - 2508564*g**2*m**2 + 248*g**2 - 39*g*m*q - 4*g*m - 3*m*q - 4*m wrt m?\nAnswer: -86*g**2*q - 5017128*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1397 and 31.941273531?\nAnswer: 1365.058726469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 848, 854, 864, 878, 896, 918, 944?\n\"Answer: 2*t**2 + 846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**3 - 562*h**2 - 65*h - 18166. Determine f(-281).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**7*a\/(a\/(a**(1\/11)\/a)) assuming a is positive.\nAnswer: a**(-76\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w + 27. What are the prime factors of v(-17)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 i, and 1 o when three letters picked without replacement from dioonwwindiid.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-28)\/7*6\/(-8). Suppose 5*h + 4*b + 3 = -3, -2*h - i*b - 8 = 0. Solve -2*r = 4*c + 2*r, -h*r = 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4146454422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 76826105 to the power of 1\/2, to the nearest integer?\nAnswer: 8765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = k - 22. Suppose 3*h + k = 108. Calculate the greatest common factor of 50 and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (4 - -1) - (-2 - (-37 - -29))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9519307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*m - 90. Calculate the lowest common multiple of m and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 4549 + 275 = 0. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.163007899 rounded to four dps?\nAnswer: 0.163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/8*(-548)\/(-411).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79470502 is divided by 1016.\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15269229 and 130869?\nAnswer: 3537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.16 - 3.84. Let d = -4.0000001 - v. Round d to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 18*z + 2. Let h be u(13). Suppose -5*d + 65 = -x, 3*x + 6*d + 271 = 2*d. Let y = x + h. Which is bigger: y or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -838\/7 - -120. What is the nearest to x in -3, -0.4, -5\/8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -388600 divided by -5\nAnswer: 77720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 = 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 + -42. Let q be 14\/n*(-5)\/(-2) + 0. Calculate the greatest common divisor of q and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-49)\/(-8) - (-55 + 61). Put -4, -6, a, -13 in descending order.\nAnswer: a, -4, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 92174818.266 + -92174516.265999236. Let d = -566 - -264. Let l = x + d. What is l rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(1\/6)\/q)\/q**(-21))\/((q\/(q\/q**0))\/q)**(-1\/8))**(-48) assuming q is positive.\nAnswer: q**(-962)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 4*l**3 + 6)*(59 - 59 + 42*l) - l**4 + 3*l**4 - 4*l**4 + l**4 - 6*l**4 + 3*l**4 in the form c*l + v + i*l**2 + u*l**3 + b*l**4 and give b.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -117, -192, -307, -468, -681, -952, -1287?\nAnswer: -1692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -177.94 and 4.32?\nAnswer: -768.7008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*((-300)\/(-9))\/(-4). Let u be h\/9 - 4\/(-18). Suppose -60 = -3*v + 2*c, -79 = -u*v - 2*c - 7. Calculate the highest common divisor of 2 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 117 (c) -258 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -8 (b) -8\/29 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*d**3 + 45*d**3 - 20*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450) + sqrt(450)*-1)*6)\/(sqrt(81)\/(sqrt(180)\/sqrt(5))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 75778*h**3 - 126922*h**2?\nAnswer: 454668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(80) - (sqrt(80) + 0))*3)**2 + (sqrt(1500) + (sqrt(1500) - sqrt(1500)*-2) + sqrt(15))\/(1*sqrt(243)).\nAnswer: 9 + 41*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 10*c + 13. Let h be t(12). Let m = h + -58. Let w = 1 - -14. Calculate the greatest common divisor of m and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7786720802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6430278 divided by 7738?\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 2*q + 8 = 0, 2*j = 4*j - 4*q + 14 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 3*k - 4, 2*j - k + 23 = 7*j. Put j, -2, -4, 4 in ascending order.\nAnswer: -4, -2, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 54 = -2*l, g = 2 + 2. Let o be (-7)\/(l\/12) + 4. Suppose 5*q = 3*m + 41, o*m - 5*m = -15. What is the greatest common factor of 30 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-6) + 128202740\/8. Suppose n = s + 7974654 + l, -5*n - 4*s = -120000016. Round n to the nearest 1000000.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g**2 - 3*g + 4. Let y be a(-3). Let v = -8 - y. Is (v\/(-9))\/((-2)\/417) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2324520 and 1452825.\nAnswer: 11622600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1613739 smaller than 1613734?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -80.1 and -0.4?\nAnswer: 32.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 h, and 1 x when three letters picked without replacement from xarxxxbabmrbrah.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 34 = 374. Is -5*5\/((-75)\/l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 0.459, 12, 85\/8?\nAnswer: 0.459","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and 21922?\nAnswer: 21925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 21*u + 17*u = -4, 2*u + 2 = 4*c. Solve 3*p = b + 4, 0 = 3*p + c*p + 2*b - 25 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, 9, -106, 4, -3, -22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 13235*u - 13234*u + 8*y, 4*u + 3*y = 60 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 135*j + 530*j + 415*j to w + p*j and give p.\nAnswer: 1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 423.\nAnswer: -428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41\/82)\/((3\/(-8))\/3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -126 - -131. Sort s, 2, -0.8 in descending order.\nAnswer: s, 2, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -550 by 55.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*sqrt(605))*4 + 2.\nAnswer: -88*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92619*g**2 + 149*g + 6 - 46312*g**2 - 46306*g**2)*(-6 + 5 - 3).\nAnswer: -4*g**2 - 596*g - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*n - h + 74, 111 = 3*n - h. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -7*v**6\/24 - v**5\/20 - 18*v**2. Is 22 a factor of i(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d + 7*d + 234*d**3.\nAnswer: 234*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43676 - 3?\nAnswer: 43673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a milligram in micrograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32908985, -32908987, -32908989?\nAnswer: -32908991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 231, 485, 753, 1041, 1355, 1701?\nAnswer: 2085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6))\/(-5 - (-78)\/9)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 27 = -9. What is the lowest common multiple of 6 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1657482526 - 0.14247\nAnswer: -1657482526.14247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.47153 rounded to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**5 + 2*l**5 + 12*l**4 - 6*l**2 + 4*l - 6 - 3*l**5 - 12*l**3 + 11*l = 0 for l.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(550)*4)\/sqrt(11))\/(sqrt(40)\/(sqrt(12)\/sqrt(3))))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -644580000 rounded to the nearest 1000000?\nAnswer: -645000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 15 + (-90 - -80)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*m + 19 = 236. Let f be (m - (-20)\/3)\/(2\/(-24)). Solve -2*j - f*n - 4 = -12, -2*j - 24 = -4*n for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/11 (b) 74 (c) 2\/9 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 739*b**3*j**2*r**2 + 14*b**3*j**2*r - b**3*j + 4*b*j**2*r - j**2 wrt r?\nAnswer: 1478*b**3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184 and 2298608.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -n - 0*n + 8, -5*n = -5*b + 20. Suppose n = -9*w + 5*w + 144. Is 120*-4*(-3)\/w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63 - 68. What is the third biggest value in 0.4, -0.5, -0.1, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 9 + -15 + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g**2 - 51*g - 24. Let x(s) = 5*s**2 - 50*s - 23. Let p(r) = -3*t(r) + 4*x(r). Let b be p(24). Solve 2*u = -b - 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19540\/693 + 188\/99. Let z = o - -4675\/84. Factor 147\/2*f**2 - z*f**3 + 2 - 21*f.\nAnswer: -(7*f - 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37804864151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -8, 60260.\nAnswer: -16, -8, 60260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 1\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 0)*4\/(-4). Suppose 3*c = 6*c + m + 25, 0 = -m - p. Let o(b) = 0 + b**2 + 4*b + 1 + 2. Let v(t) = 2*t**2 + 6*t + 5. Give c*o(l) + 5*v(l).\nAnswer: 2*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2766221 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 443, 886, 1329, 1772, 2215?\n\"Answer: 443*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1608)\/(-160) + 2 + -3 - 9.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 2*z = -4, -3*x - 20 = -5*z + 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 70, -2900 in decreasing order.\nAnswer: 70, 3, -2900","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3359 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(55\/22)*18\/(-12)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 1:18 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 6) + 1 + (8 - 5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1745 by -847.\nAnswer: 1745\/847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -279, -268, -241, -192, -115, -4, 147?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*a**4 + 3*a**2 - 242*a + 31040 wrt a?\nAnswer: -20*a**3 + 6*a - 242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 25 - (-209 - -198)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26118128 is divided by 624.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1486241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**3 + h - 1. Let r be u(1). Suppose 9*j = r*j. Is 18 a factor of 15 + 21\/7 + j\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -9, 3\/2, 1 in decreasing order.\nAnswer: 2, 3\/2, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzmzzmmzmzzz. Give prob of picking 1 z and 1 m.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 - -57.6. Let n = i - -11.4. Which is the third smallest value? (a) 0.1 (b) n (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-4)*8\/(-3))\/((-122450)\/(-1408175)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4765959*n*q*x**3 - 11052*n*q*x**2 + 2*n*q + 52*n*x**2 + 2*q*x**2 + 5*x**3 wrt x?\nAnswer: -28595754*n*q + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + -13 - -14) + -32 + 5.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.322 - -5378.678. Let y = d + -5642.1. What is y rounded to the nearest ten?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/345 - 2\/23. Let x be (l + -4*1)*(-330)\/88. Solve -8*g + x = -13*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 56 (b) 137 (c) -1 (d) -0.3 (e) 20\/9 (f) 7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 62 = 2*q, 4*v - q - 50 = q. Suppose 4*k = -0*m + 4*m, v = 4*k. What is the third derivative of m*p - p - 2*p**2 - 2*p - 3*p**6 wrt p?\nAnswer: -360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*a + 2149, 0*a - 2*a - 541 = -c. Let k be c\/(-350) - 4\/14. Let h = 21\/10 + k. Put 0, h, 3\/2 in decreasing order.\nAnswer: 3\/2, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 31341 and 9.\nAnswer: 282069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 32267*x - 475. Is c(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8858 and -0.3?\nAnswer: 2657.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 0*w**3 + 1\/2*w**2 - 4*w - 1\/12*w**4 + 0. What is the first derivative of f(k) wrt k?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, y: 2, s: 4, l: 11}. What is prob of picking 1 s and 1 g?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 4*d - 5*d)*((2 + 1 - 1)*(-2 + 1 - 2) + 7546 + 3551 + 830) to the form u + h*d and give h.\nAnswer: -23842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397 is divided by 196?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gx when two letters picked without replacement from xxgkhgxgkkkkfakgxggx?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 1000*u**4\/3 + 10300*u**3\/3 - 7881955*u**2\/6 - 394325*u - 29580 = 0.\nAnswer: -68, -3\/20, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 22*v - 588. Let m = 213 + -149. What is the greatest common factor of m and v?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15841 and 219.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 230, -3826 in decreasing order.\nAnswer: 230, 3, -3826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195589 a multiple of 359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 76\/950*46725\/89\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46003\/10 - -4607. Let r be -1*(-1 - (-1381)\/1389). Let g = r - -79013\/27780. Calculate the common denominator of x and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 5*f, 2*g + f + 6 = 22. Solve -5*t - 5 = -3*d - 30, 2*t - g = -2*d for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-1))\/(32\/((-24)\/3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 13) + 5 + (-19 - -6) + 0?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 1 + 5. Let l be 6 + n + -1 + 8798. What is l rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l + 7. Suppose 0 = -5*p - 15 + 40. Let h be t(p). Suppose 3*c + 4*d = 22, -5*c + 2*d - 4*d = -h. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202155 is divided by 18358.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(5\/(-46))*(225\/3)\/(-150).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6300 and 420.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (-79 - (-2 - 17)) - ((-1 - 2) + 10).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a**2 - 127*a - 225. Give s(44).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -0*s - 1030. Suppose -5*y = -t - 496, -3*t = 3*y + s - 518. Suppose -3*q + y = -11. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + 30 + 35 + 0 + -12.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*p + 1 + 14, -3*p - q = -31. Let y(h) = 2*h - 4. Let k(f) = -5*f + 8. Let b(i) = -3*k(i) - 7*y(i). Is b(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*i + 3, -59 = -2*u + 3*i. Suppose -2*c + 5*l - 2*l + 1 = 0, -3 = -l. Solve -c*o = u - 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96 + -53 - (-2 + (-1 - -5) + -8 - 5)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 972?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7654 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 5, 3\/10, -0.23, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 161995\/6 - 161819\/6. Factor 0 + 0*k - 4\/3*k**5 + 0*k**3 + p*k**4 + 0*k**2.\nAnswer: -4*k**4*(k - 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*j = -2*o + 9, -3*o = -j - 6. Suppose 3*r + 3 = -0, -3*r + 429 = -j*w. Is 1109\/9 - (-32)\/w a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -78*b**3 + 2*b + 1. Let s be z(-1). Let d be (-14)\/s + 1654\/22. Let i = d - 49. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-10)*((-2600)\/(-240) + (-280)\/(-48)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2)*i*i*i)**(-3\/25))**37 assuming i is positive.\nAnswer: i**(-111\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -458*p - 848*p - 2144 + 2*p**2 + 477*p - 1313*p = 0.\nAnswer: -1, 1072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - 13445648?\nAnswer: -13445640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9485589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1273859 and 16153?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1970100 and 21890?\nAnswer: 1970100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-4)*172\/473. Let z = -16 + 19. What is the nearest to 1 in 4, i, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -411 (base 7) in base 5?\nAnswer: -1304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 401426191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = -25*o + 4 - 38 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + -2 - -274 - -2. Let v be s\/96 + 16\/24. Let z = v + -683\/528. Find the common denominator of 47\/14 and z.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*u - 55*u + 1580 - 1581.\nAnswer: -9*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*o**5 + 14*o**5 - 12*o**5)*(-5 + 4 + 2) - o**5 + 2*o**5 + 2*o**5.\nAnswer: 20*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2140 = -4*y - 4*v, -4*y + v = -2145. Let m be 2\/13 - y\/1456. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 33, 58, 89, 126, 169, 218?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 314 - 2?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 + 4.04. Let q = -60551 + 60550. What is the nearest to 1\/4 in 13, q, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -7 (b) 2 (c) -92 (d) 0.135\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 23, 17, -7, -55?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jfbb. Give prob of sequence bbbf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q - 3*q - 36 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000011000111 (base 2) to base 15.\nAnswer: 1415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -105\/1444 and (-107)\/(-20) - 1 - 1?\nAnswer: 7220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72940 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**3 + 2*a**2 + 2. Let x be w(-3). Let f = 64 + x. Suppose -j + m - 168 = -f*j, -4*j = -2*m - 328. Calculate the remainder when j is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -143*g**3 - 2*g**2 - 5*g + 2. Let l be x(-2). Suppose 0 = -n - 2*v + 2051, -5008 = -3*n - 3*v + l. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, z: 13}. Give prob of sequence rzz.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 13 = -z, -3*z + 12 = 138*s - 136*s. Which is the nearest to -54? (a) 0.2 (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 15*v - 23. Let u be p(19). Let i = 55 - u. Suppose 0*k + i*k = -k. Let o(s) = s**3 - s**2 - s + 12. What is o(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 1:09 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -16*c**3 + 6*c**2 - 6*c + 6. Let t(p) = p**2 - p + 1. Determine -6*t(v) + x(v).\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6006 - -6005.9990164. Round f to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 870607.04*-0.2.\nAnswer: -174121.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298333 is divided by 15673?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5193 + -2805. What is the thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 16.8. Let t = u + -1.6. Let j = -0.6 + t. What is the nearest to j in 1, 1\/4, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 1 = 0, d = 5*o - 5 - 1. Let p = 7 + d. Factor 4\/5 - p*a**2 - 2\/5*a.\nAnswer: -2*(3*a - 1)*(5*a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -13. Let g = -2.1 + -0.9. Let o = g + w. Is 2 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54493275*d**5 + 199883*d**2 + 30 wrt d.\nAnswer: -3269596500*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -17*t + 1. Let w = -9 + 7. What are the prime factors of f(w)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -82, 20076, -3 in decreasing order.\nAnswer: 20076, -3, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*m**2 - 1)*(4 - 3 + 1)*(1 + 4 - 2)*(4*m + 8*m - 5*m).\nAnswer: 84*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**5 + 26*b**4 - 54*b**3 + 36*b**2 + b - 6.\nAnswer: -(b - 6)*(b - 1)**3*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8929343?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k**4 + 2*k**3 + 2*k + 12. Let b(q) = -q**4 + q**3 + q + 1. Let z(y) = -2*b(y) + c(y). What is the first derivative of z(n) wrt n?\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-28)*i*((i*(i\/(i*i**15\/i))\/i)\/i)\/i*i assuming i is positive.\nAnswer: i**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 divided by -5.\nAnswer: 94\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -7.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 11*y - 49. Let x be q(14). Sort -2, x, 4, -20 in increasing order.\nAnswer: -20, x, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 115 = 4*i. Let o be i*(3 + (-5)\/(20\/8)). Calculate the greatest common divisor of 23 and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*n - 4*n. Let m(l) be the first derivative of l**4\/12 + l**2\/2 - 1. Let x(g) be the second derivative of m(g). Give x(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1624 and 348?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, -1\/3, -1\/6, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3120586*p + 13. Let y(l) = -1560293*l + 6. Let j(u) = -3*r(u) + 7*y(u). Let o be j(3). Let v = -9080876 - o. Round v to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvvvvvvpvvvvvvv. Give prob of picking 1 p and 3 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1195 + 1200. Suppose -3*b + 72 = -4*j, 5*b - 2*j - 25 = 81. What is the remainder when b is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 559 + 1359 = 14*x. Suppose 3*h = 2*h + x. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 o, and 1 q when three letters picked without replacement from {q: 1, z: 2, o: 1, d: 9}?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 947427?\nAnswer: 1894854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7763, -7750, -7697, -7586, -7399, -7118, -6725, -6202?\nAnswer: -5531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/(-40) - (-336)\/(-15). Let l = j + 33. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/784 and 99\/196.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7206720, -7206741, -7206762, -7206783?\n\"Answer: -21*h - 7206699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/275 and -9\/1474.\nAnswer: 36850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/104)\/((-35)\/(-63)*6\/8).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 17 - 12 = 5*w, -4*w - 8 = -3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-362)\/(-9) + (-6)\/27. Suppose 3*t - 5*w = n, -4*w - 41 = -t - 2*t. Suppose -12*l = -t*l + 324. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 2:32 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 - 13042?\nAnswer: -13012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - v**2 + v + 77. Let y be a(0). Let c(m) = m**3 + 2*m**2 - 2*m - 1. Let b be c(2). Calculate the highest common divisor of y and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrnnninnbnrpiringnn. Give prob of sequence rr.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10253619 = 60*k - 3233361. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61.80457 - 61.8. Round t to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*sqrt(176) - ((sqrt(539) - 2*sqrt(539))**2 + sqrt(539)) - (-5 + -2*sqrt(11)*4)).\nAnswer: -20*sqrt(11) + 2136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 120 - 0?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yn when two letters picked without replacement from bnyuubbb.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 times 842?\nAnswer: -126.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-26)\/14*464\/(-1508). Which is the nearest to 0.1? (a) 2\/5 (b) -1.1 (c) k (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*(k**(2\/21)\/k)\/k*k)**(-1\/57) assuming k is positive.\nAnswer: k**(-23\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-14))\/(16*(-30)\/1680).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**2 - 5*g**2 + 34*g + 58*g.\nAnswer: 2*g**2 + 92*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1290102, 2580375, 3870662, 5160969, 6451302, 7741667?\n\"Answer: k**3 + k**2 + 1290263*k - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156095 is divided by 1859.\nAnswer: 1798","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h - 3. Let i(u) = -u**2 - 10*u + 15. Let z be i(-11). Suppose -34 + z = -5*a - t, 5 = -3*a + 4*t. Suppose 4*x - a - 15 = 0. Determine w(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(7\/2))**(-7))**(1\/25) assuming x is positive.\nAnswer: x**(7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (20\/15)\/(2\/(-6))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -14 (b) 5 (c) -8\/89 (d) 0 (e) 7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/826 and -3\/28.\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/10*(-3)\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*x + 2. Suppose -5*n - 8 = -2*v, v + x*n + 6 + 3 = 0. What is the units digit of (2\/4)\/(v\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 3:13 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dh when two letters picked without replacement from wwdhhoddwodw.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 102.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 162*w - 15651. Determine k(90).\nAnswer: -1071","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9}. What is prob of sequence vvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6 - -0.3. Let s = -1.5 + k. What is s rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 1 = 13. Let u(n) = -3*n + 23. Calculate the remainder when u(f) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**2\/4 - 62921003*z\/2 - 3959052618526009\/4 = 0.\nAnswer: -62921003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 595*j = 590*j. Suppose j = -7*n - 587 + 2120. What is the remainder when n is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 4, t: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-12) - 79\/(-1896).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4435\/629 or -6?\nAnswer: -4435\/629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -339 + 697. Suppose u + 14 = -2*w - 2*w, 0 = 5*w + 20. Suppose g - u*g + 64 = -4*a, -5*g = -a - v. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5*s - 0 - 4, -3*s + 2*a = -12. Let f be -12*(0 + (-3)\/s). Suppose -6 = u - f. Solve q + 4*m = -3*q + u, 2*m = 3*q + 11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50 + 53. Suppose l*z + 5*w - 2408 = 0, -z - 2*z + 2413 = 4*w. List the prime factors of z.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 73*o + 2453. Give h(-30).\nAnswer: -637","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 5. Let f be b(-11). Let t be (-2 - -4)\/6 - (-2)\/f. Suppose -x + 2*r + 17 = t, 0*r + 25 = 2*x + 5*r. Solve -4*j + 2*y = -0*y - 10, -3*y = x for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10597177 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**3 - t**3 - 5*t**3)*(-121*t**2 + 296*t**2 - 145*t**2).\nAnswer: -90*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 10:05 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 4)*(-2*j - 3*j + 3*j) + j + 2 - 2 + 0 - j + 0)*(-6 + 6 - 2*j).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1749739610 to the power of 1\/2, to the nearest integer?\nAnswer: 41830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11007005 is divided by 3443.\nAnswer: 3177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 16*i**2 - 8*i + 89. Let v be l(18). Is v less than 592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - -3 - (-26 + -37 - -54).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -204*n - 65*n - 0*n - 538 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in 3, 3\/4, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 3*f - 44049 + 44048, 0 = 5*q + f + 21 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f**4 + 8*f**2 + f**4 - 3*f**2 wrt f.\nAnswer: 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20906989.\nAnswer: 31, 674419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6158648 to the power of 1\/2, to the nearest integer?\nAnswer: 2482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5051 rounded to one decimal place?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47195?\nAnswer: 5, 9439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 50107 = -5*k, 19 - 15 = 2*i. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g*g**13)\/g)\/(g**(-14)\/g))\/(g*g**10\/g*g\/(g*g**21*g*g*g*g)) assuming g is positive.\nAnswer: g**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*y - 101722*f + 101725*f, 0 = 4*y + 3*f - 6*f - 3 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 412*k**3 + 2*k**2 - 26*k**2 - 413*k**3.\nAnswer: -k**3 - 24*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12022 + 10003?\nAnswer: -2013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 108\/126*(-7)\/(-2). Let p(f) = 3*f + 3. Let b(m) = m + 1. Let n(y) = -2*b(y) + p(y). Let l(v) = v + 1. Determine g*n(i) - 5*l(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(315\/(-42)) + -1\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1805 divided by -5?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -5, 0.04, 2, -25\/11, -2.\nAnswer: -5, -25\/11, -2, -0.3, 0.04, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -151004412 (base 6) to base 2\nAnswer: -1011111011011010111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 892*v - 7634 + 53209 = 2759 for v.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 15 - 5. Suppose 3*i + 6 = 3*s, k*i - 22 = -3*s - 0*s. Solve 0 = s*c - 2 - 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*c**2 + 2*c**3 - 15*c**2 + 5 in the form j*c**3 + n*c**2 + z + h*c and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0529092 to 3 decimal places.\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 5*x + 3*h - 528, x - 108 = -3*h. Let s = -37 + x. Calculate the greatest common factor of 85 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 14*p - 8. What is the remainder when 134 is divided by z(3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -3 (c) 1 (d) -5.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43202, 85481, 127760?\nAnswer: 170039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 19*z**2 + 730039*z + 76846 = 0?\nAnswer: -38423, -2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -13. Let j(u) = u**3 + 6*u**2 + 4*u - 4. Give j(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 129*h**2*s - 15*h**2 + 9*h*s + 6*h - 2696939*s + 3 wrt h?\nAnswer: 258*h*s - 30*h + 9*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5694334 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 87816984 to the power of 1\/3, to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -204 or -9608\/47?\nAnswer: -9608\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4200 is divided by 108?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2. Let a(p) = 103519*p. Give a(x(b)).\nAnswer: -207038*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4576 + -4577. Let k(x) = -53*x**2 + 2*x + 1. Determine k(p).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 11*c**2 + 9*c + 2. Let m(j) = -56*j**2 - 44*j - 11. Let o(u) = 11*b(u) + 2*m(u). What is the second derivative of o(f) wrt f?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 401 divide 903290996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -179, -349, -507, -647, -763, -849, -899, -907?\n\"Answer: v**3 - 177*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -591*g**4 - 5*g**2 - 807*g - 5. Let x(s) = -593*s**4 - 6*s**2 - 808*s - 6. Let u(c) = 6*j(c) - 5*x(c). Find the second derivative of u(k) wrt k.\nAnswer: -6972*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 2*n + 9 = 0, 4*t - 4*n - 2 - 30 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1105*a**3 + 158133 - 158133)*((3 + 0 - 1)*(1 - 16 + 3) - 2 - 2 + 3) as f*a**3 + d*a + v*a**2 + c and give f.\nAnswer: 27625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + 1. Let t(a) = 7*a - 22. Give 5*h(b) - t(b).\nAnswer: -2*b + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 40646, 81813, 122980, 164147, 205314, 246481?\n\"Answer: 41167*h - 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 8:33 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1792 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 23. Let h be k(5). Factor o**h + o**2 - 12 + 32*o + 6*o + 0*o**2 + 80.\nAnswer: 2*(o + 2)*(o + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120020 + 212?\nAnswer: 121002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9946911 is divided by 765146.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -287725, -287744, -287777, -287830, -287909, -288020, -288169?\n\"Answer: -b**3 - b**2 - 9*b - 287714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 5*m**5 + 300*m**4 - 1690*m**3 - 4260*m**2 - 2275*m = 0?\nAnswer: -65, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 55*6\/462*7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1580*c**4 - 94943*c**3\/2 - 476145*c**2 - 1601450*c - 71500.\nAnswer: -(c + 10)**3*(3160*c + 143)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1380*k**2 + 111781*k\/3 + 9.\nAnswer: (k + 27)*(4140*k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -63*r**5\/20 - 2*r**2 + 3*r + 619. Let z(g) = 32*g**3 + 2. Determine -6*k(p) - 11*z(p).\nAnswer: 26*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 7*s + 5. Let v(z) = -4*z - 3. Let p(g) = -10*v(g) - 6*x(g). Let a(j) be the second derivative of -7*j**3\/6 - j + 93. Determine p(a(t)).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 107*i**2 + 123*i - 1484. Let j be y(108). Calculate the highest common divisor of j and 1462.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-63))\/(((-6)\/(-3))\/(-4))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 + 374 - 161 - 213 + 5*h**2.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 0*y + 8*y**2 - 1\/24*y**4 + 1\/3*y**3 + 1\/60*y**5 + 0. Give j(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302650104.\nAnswer: 2, 3, 12610421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f + k - 6*k - 12588 + 12560, 0 = 4*f - 5*k - 37 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(1539) - (sqrt(1539) + -2))*-5 - sqrt(1539))**2 - (-2 + (-3*(3*sqrt(1539))**2 - sqrt(1539))).\nAnswer: 1089*sqrt(19) + 51389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3234 and 4557.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5203760183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qffnqffzazffq. Give prob of picking 1 a and 3 f.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144065?\nAnswer: 5, 28813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 614431 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/12)\/(((-2120)\/(-240))\/(-53)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24\/11*a + 2\/11*a**4 + 8\/11 + 26\/11*a**2 - 12\/11*a**3.\nAnswer: 2*(a - 2)**2*(a - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4425 and 75?\nAnswer: 4425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = -2*k + 3*m, -k - 3 = -2*m. Suppose 0 = 6*b - 7*b + k. Calculate the least common multiple of 11 and b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/4 and -145\/251136.\nAnswer: 251136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 4:04 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 503657?\nAnswer: 7, 11, 31, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 2:15 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*j + 3027, 272*k - 5*j = 276*k - 3029. Calculate the remainder when k is divided by 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.254, -2\/61, -1\/3 in descending order.\nAnswer: -2\/61, -0.254, -1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-12))\/(2968\/5088)*-1.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 17. Let v = 7 + q. Find the second derivative of 6*j + 4*j**2 - 5*j + v*j**2 wrt j.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 78 = -8*r. Let h be 2\/(-6) - 143\/r. Is (-42)\/(-56) - 69\/h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3e28 - -9?\nAnswer: -3e1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2240, -8783, -19682, -34937, -54548?\n\"Answer: -2178*z**2 - 9*z - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(441)\/sqrt(63).\nAnswer: sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 = -60*a + 34 + 88. Let v(p) = -p**2 - 7*p - 3. Let b(c) = c**2 + 3*c + 2. Determine a*b(w) + 2*v(w).\nAnswer: 3*w**2 + w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*sqrt(3) + -2.\nAnswer: -3 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = -13*t. Let s = -1 - -2. Let u be (-3)\/(-6)*s - 1. Put t, 3, u in descending order.\nAnswer: 3, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 40*l**2 - 4*l - 217. Is k(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1840387 is divided by 131456.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4185 by -4185.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 2434?\nAnswer: 2438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 508*g + 327 wrt g?\nAnswer: 508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 811585 is divided by 2818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 divided by -56?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*i**3 - 10*i**3 + 25*i**3 + 4*i**3 - 541*i**2 + 457*i**2.\nAnswer: 37*i**3 - 84*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 217 = -y + 136, 2*x = y + 33. Solve -8*c + x*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 969 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (-78 - -86) + -1 + -1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51088 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 third biggest value in -816, 3\/5, -3, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(500) - sqrt(20))\/(1*sqrt(640)).\nAnswer: 9*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4967, 6136, 8135, 11006, 14791?\n\"Answer: 7*n**3 + 373*n**2 + n + 4586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (175 - 78) + -77 + -22 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1454 = -27*p - 1157 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 70.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (1 - (-5 - -3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -695*a**3 + 222*a**3 - 11*a**2 + 234*a**3 + 235*a**3 + 1 + 5*a**2 - 57*a to o*a + i*a**2 + u*a**3 + k and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-11 - -4) - (5 + 2) - 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*y + 10 = -2*a, -3*a = 6. Suppose 0 = -y*l + 8, -5 = -3*b + 4*b - 2*l. Suppose 5*h - b*h + 62 = 0. Are h and -31 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v + 25. Let c be n(17). Let q = 85 + c. What is the remainder when q is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -78 - 10. Let w be (-2 + 517)\/(104\/j). Let u = 436 + w. Is u bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2708, 4 in increasing order.\nAnswer: -2, 4, 2708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49\/(-77)*(-18)\/5*(-280)\/588.\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5 + 2 = 0. Let z = 8 - j. Suppose z*l - 17 = 4*l + 2*k, 5*l = -3*k + 12. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54887?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11727054.\nAnswer: 2, 3, 651503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15195781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, -1\/6, -432598 in decreasing order.\nAnswer: -1\/6, -77, -432598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4931.045434 and 11.3.\nAnswer: -4919.745434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10163719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 5876418\nAnswer: -2\/2938209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.482273nm?\nAnswer: 0.000000482273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 21*x. Give d(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**2 + 5 - 127*c + 7*c**2 - 4.\nAnswer: c**2 - 127*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s + 25*s = 15. Suppose 2*y + 25 = 5*t - 54, s*y = -2*t + 49. What is the greatest common factor of t and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, p: 8, y: 4}. What is prob of sequence yy?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 18. Let h be m(-14). Suppose -20 = 2*r - 3*r - h*o, 4*o = -3*r + 28. Solve r*b + 3 = -13 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v**4 - 3*v**4 - 3*v**4 + (-2 + 5 - 1)*(-v**4 + 0*v**4 + 2*v**4) + 38*v**4 + 580*v - 580*v.\nAnswer: 39*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v - 10*v = 2352. Is 49 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157907 is divided by 4650.\nAnswer: 4457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -89258*a + 89256*a + 8*k - 128, 18 = 3*a + 2*k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5439 and 441.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8205375 and 19875?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -20012111020011 (base 3) to base 11\nAnswer: -1951954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**5\/60 + 16*h**2. Let k(t) be the second derivative of -t**4\/6 - t. Calculate k(j(p)).\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -520, -179, 166, 515, 868?\nAnswer: 1225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 5*p + 7697 - 7712 = 0, -8*b + b + p + 2*p = -56 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 590 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2010110200 (base 4) to base 6.\nAnswer: 15341104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 592 divide 560786208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = o + 1, 3*o + 3*h = 4*h - 10. What is the closest to 6 in -0.5, 2\/7, o, 1\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + q + 0 = 5, -4*w + 4*q = 4. Let g(c) = -3*c. Let n be g(w). List the prime factors of n\/(-15) + (-108)\/(-15).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (10 - 5) + -3 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2847*l + 2219. What is the tens digit of q(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/2 + 6\/(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 11:14 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -8*w + 140, 46 = 3*w - 4*i + 1. Calculate the greatest common factor of w and 1653.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 556179\/77 - 7223. Let c = 103678\/35 - 2964. Find the common denominator of w and c.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57 and 133?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 7*u - 10. Let s be v(-10). Let o = s - 18. Solve 2*g = -6*w + o*w + 4, -3*w + 5*g - 23 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 25 = 7*t. Let u be ((-5)\/4)\/(t*4\/(-64)). Suppose u*x = -a + 8 + 363, 2*a = 2*x - 146. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 10}. What is prob of sequence eeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*j**3 + 0*j**2 + 0*j**2 - 1928 + 1928 - 3*j**2.\nAnswer: 32*j**3 - 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2459.51 + 2459. Which is the third biggest value? (a) 1 (b) 2\/3 (c) 0.2 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 1 - 5. Let h(c) = c. Let p be h(s). Solve 3*a - p*x = 4*a + 12, -3*a + 5*x + 20 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13875.9 - -13876. Put 5, i, -2652 in ascending order.\nAnswer: -2652, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153959364?\nAnswer: 2, 3, 13, 61, 5393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**6\/120 - 11*p**5\/60 - 5*p**4\/12 - 5*p**3\/2 + 3*p**2. What is the smallest common multiple of 10 and j(12)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 + 3 + (-28 + 22 - -5) - -14?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k**2 - 4*k + 2. What is the units digit of q(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 38.61223 and 7?\nAnswer: 31.61223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180 - 1470323386.\nAnswer: -1470323566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -335078.87719404 plus 16?\nAnswer: -335062.87719404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-4)*(-6)\/(-5) - 120\/(-45). What is the closest to z in -0.3, 4, 1, -1\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 6*f**2 + f + 8. Suppose 0 = -3*y + v + 112, 11 + 29 = y - v. Suppose -23*z - y = -17*z. Let h be m(z). Sort 3, 5, h.\nAnswer: h, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0, 2\/11, -760, 42\/559, 2\/5, 2?\nAnswer: -760","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.067 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 15*j + 99. Give b(20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 32 - 78)*(-460*u**3 + 916*u**3 - 35*u - 2*u**2 - 457*u**3).\nAnswer: 87*u**3 + 174*u**2 + 3045*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence et when two letters picked without replacement from eeteetttteeeeteeee.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of k**3\/6 - k**2\/2 + 44*k + 33. Let c(w) be the first derivative of z(w). Let b(m) = -5*m - 2. What is -b(v) + 2*c(v)?\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -640*t**2 + 1405\/4*t**4 + 260*t - 7 - 125\/6*t**6 - 305*t**5 + 1265\/3*t**3. Determine c, given that f(c) = 0.\nAnswer: -13, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 27*a + 922839 = 14*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -0*m - 5*t + 41, t + 11 = -m. Let a(u) = 2*u**2 + 19*u + 1. What are the prime factors of a(m)?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 111 + -2 + -2. Calculate the greatest common factor of m and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o**5 - 20*o**4 + 105*o**3 + 260*o**2 - 100*o - 240 = 0. What is o?\nAnswer: -6, -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 46177957 a multiple of 401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a + 4. Let l be z(4). Let k = 31 - 4. Let w = 30 - k. What is the nearest to l in -1\/3, w, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.01 - -65.01. Let i = l + -64.9999694. What is i rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1667372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 7*q = 10. Suppose -129 = -5*i + 2*s, 0 = -3*s + 4*s + q. Suppose i = -5*r, 4*r + 28 + 42 = 2*h. Calculate the remainder when h is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3170 + -9625\/3. Let z = 961\/30 + q. Let s = 79\/5 + z. Calculate the common denominator of s and 13\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 + 180 = 7*g. Suppose -2*x + a = -9, -3*x + 0*x - g*a - 6 = 0. Solve -7*w + 20 = -x*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -6*z + 3. Let i(j) = 35*j - 388. What is -i(u) - 3*m(u)?\nAnswer: -17*u + 379","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18960877 * 0.2.\nAnswer: -3792175.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23045394 and 4?\nAnswer: -92181576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -20*v. Let u(r) = r**2 - 309. What is u(h(b))?\nAnswer: 400*b**2 - 309","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 431*p. Let q(j) = 23*j**2 + 10. Give w(q(c)).\nAnswer: 9913*c**2 + 4310","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*z**4 + 4133361*z**3 + 5140*z + 447.\nAnswer: 24*z**2 + 24800166*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5087 or -2\/13?\nAnswer: 2\/5087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 3*p + 27. Let k = -28 + p. What is the greatest common factor of 91 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1317 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: Three letters picked without replacement from {x: 1, g: 6, l: 3, s: 9}. Give prob of picking 2 g and 1 s.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -340 + 597. Suppose -81 = 2*x - v. Suppose g + 4*j - 15 = 0, x = 2*g + 2*g + 2*j. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15074968577\/11690 - 9026914\/7. Let t = a - -1\/835. Find the common denominator of 41\/40 and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**2 + 1493*g + 65961. Calculate b(-49).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -30952969269.59 and 4.4.\nAnswer: -30952969265.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5110 + 5906. Is 2 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w + 456857*w**3 - 133477*w**3 + 2*w.\nAnswer: 323380*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62 + 134. Suppose 4*k - h = -0*k. Is 15 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10332 (base 6) to base 10\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 19 - 2 - (36 - 7 - 24)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -15.99. What is the third smallest value in -1, 0.5, -0.3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.725 - 1.662. Put -2\/9, a, 2\/11, 3 in ascending order.\nAnswer: -2\/9, a, 2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of 0*u + 0 + 0*u**3 + 2*u**2 - 1\/12*u**4. Let o(s) = -8*s + 7. Let v(g) = g - 1. Let r(x) = 2*o(x) + 14*v(x). Give r(j(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -128, -2, 38, 3 in increasing order.\nAnswer: -128, -2, 0, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 321525813?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (1 + (-3)\/(-3)). Let y = 44 + -85\/2. What is the nearest to m in 4, 0.3, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 302, 1250, 2860, 5126, 8042, 11602, 15800, 20630?\n\"Answer: -b**3 + 337*b**2 - 56*b + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -21 - 26 + 49 - 837501*h**3 + 5*h. Let n be y(-2). Round n to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1484 divide 405560122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -1. Suppose -5*m + m + 2*b = -48, 0 = -b - f. Suppose 6*v = m*v - 50. Solve 18 = 3*c - l + 4*l, -2*c + v = l for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z + 2. Let g(j) = j**2 - 9*j + 10. Let k be g(7). Let b(o) = -2*o + 2. Let d(u) = k*p(u) + 3*b(u). Calculate d(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1335 and -2.\nAnswer: -2670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -166, 0.4, -1, 21.83?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 233336.8 millilitres in litres?\nAnswer: 233.3368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + 2*q - 5*y - 31, 4*y = q - 14. Suppose 3*d + q = 6*d. Does 38 divide (-307)\/(-2) - (d\/(-4))\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1195664, 1195666, 1195668, 1195670?\nAnswer: 1195672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -15, 5.\nAnswer: -15, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*11\/(495\/(-2))*(-6)\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnwpqpwwwqppppb. Give prob of picking 1 b and 1 q.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*l + 397 = 0, -5*l + 131 = -3*d - 261. Let u = d + 219. Suppose 0 = -4*s - 2*b + 86, 4*s - b - 9 = u. Solve -2*w + 8*v = 3*v - s, 8 = -2*v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*1800\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -369*g - 5*g + 170*g to the form h + o*g and give o.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 14. Sort -4, g, 2\/11.\nAnswer: -4, 2\/11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**6 - 9541*i**3*p**3 - i**2*p**3 - 223*i**2*p**2 + 45*i**2 wrt i.\nAnswer: 120*i**3 - 57246*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 212 and -57.5?\nAnswer: -12190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*k + 2, -2 + 0 = 3*y - 4*k. What are the prime factors of 0\/y*1 + 6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -309964, -310010, -310056?\n\"Answer: -46*m - 309918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 148 - 438. Let a = s - -457. What are the prime factors of a?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9489*n + 7081339*n**2 - 7081338*n**2 + 946*n to the form z + i*n**2 + f*n and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**2 + 29*k + 4. Let q be t(-12). What is the greatest common divisor of q and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h. Let d(r) = 14*r. Let y(u) = u + 5. Let x be y(0). Suppose -3 - 17 = x*l. Let i(g) = l*d(g) + 11*t(g). Let j(o) = 4*o. Calculate j(i(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -5. Let l(s) be the second derivative of s**5\/10 + 3*s**2\/2 - s. Let b(q) = 808 - 407 - 402. Determine x*l(g) - 3*b(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 11 - (-96 - -103)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-15))\/(2839\/501).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 8*k - 8 + 0*k - 6*k + 0*k. Let g be t(-5). Let u be (-48)\/(-22) - (3 - 1). Which is the closest to -2\/5? (a) 0 (b) u (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47607696 rounded to the nearest 1000000?\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1124, 11, 0, 1, 7, -3 in decreasing order.\nAnswer: 1124, 11, 7, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 407 + 97 = 3*z. Does 24 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4326\/(-927)*(-624)\/56.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-10) - (-26)\/(-30). Let x(k) = k**3 + 3*k**2 + k - 1. Let o be x(-3). Which is the nearest to s? (a) o (b) -1\/10 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.9, -0.5, 3.9, 0.4, 2?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 3*w**2 - 3*w - 5. Let i be g(4). Let x(b) be the third derivative of b**4\/8 - b**3\/6 + 16*b**2. Determine x(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/20, -2, -3\/2, 52\/53?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 7, r: 2, x: 1, o: 4, z: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5889 - -5889.2. Which is the third smallest value? (a) w (b) 1 (c) -5 (d) -0.09 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5126385, -2 in decreasing order.\nAnswer: 5126385, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 40\/(-14) - (-60)\/(-70).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4408 + 17635\/4. What is l in g + 9\/4*l + 3*l**4 - 15\/4*l**2 - 9\/4*l**3 = 0?\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004287761 to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 b when three letters picked without replacement from zbzbgib?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 36 - 3 = 3*d, 0 = -27*d + 5*d + 2*d + p - 260 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15153 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/7, 0.1, -11, 3\/4?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 divided by -1?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 1049 = -2*o - 1033, 3*o - 38 = -4*m. Factor s**3 - 3\/2 - s + m*s**2 - 1\/2*s**4.\nAnswer: -(s - 3)*(s - 1)*(s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-190)\/(-100) - 4\/10)*2. Suppose -g*r = -5*k + 8, 1 = -4*k + 2*r + 9. Calculate the highest common factor of k and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -12*(-3)\/6 + 3. Let c = v - 6. Let h(s) be the first derivative of s**4\/4 - s**3\/3 - 2*s**2 + 10. What is h(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -5, -2, 33?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 55 = 20. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1938 and 3877026.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, l: 1}. Give prob of sequence yyy.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i - 6. Let z(f) be the second derivative of -f**4\/12 + 3*f**2\/2 + 9*f. Suppose -4*d - 20 = -y - 3, 3*y + 24 = -3*d. Let o be z(y). Calculate r(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008078481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 5:36 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 3*u = 126. Let v be (u - 23)\/(1*-1). Solve 0*b = 4*b + 5*m - v, 2*b + 4*m + 2 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 7 = 444. Let t(x) = -n - x + 451. Let o(k) be the third derivative of -k**4\/24 - k**3\/3 + k**2. Calculate -o(p) + 3*t(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + -5)*2\/(-2). Suppose -2 + 27 = b*o. Suppose -y + 8 = -3*y - 3*p, 3*y = o*p + 26. Let a(w) = 4*w - 3. Give a(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/3 - (-10)\/(-9). Let d = 31523 + -31519. What is the nearest to -1 in t, -4\/17, d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of a**4\/4 + a**3\/3 + a**2\/2 + 1. Let m be z(0). Suppose n + 15 = 6*n. Solve -n*k + m = 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by -1414\nAnswer: 10\/707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 649, 652, 669, 706, 769, 864, 997, 1174?\nAnswer: 1401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 2:03 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 109906 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1 + 0)*(-5 + 8))\/(-1). Solve 0 = -v*p - 22 + 19 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2366\/52)\/((-22)\/(-2)*-1) and -93\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3495 is divided by 1747.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = z - 143. Solve 0 = -c + 5, i + 5*c - z = c for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3089, -3384, -3679, -3974, -4269?\n\"Answer: -295*h - 2794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.886122 days in weeks?\nAnswer: 3.269446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 35 = 2*c. Let m = c + -7. Solve -3*j + 22 = -m*q - 4*q, 2*q + 5*j - 2 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15*4\/420)\/((4\/(-1))\/16).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2591105 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -301a + 52?\nAnswer: -2a78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -11*f + 4 - 13 + 7 - 5*f. Is 10 a factor of l(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7135, 14275, 21411, 28543, 35671, 42795?\nAnswer: 49915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -1\/2 (c) 0.004\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 6465900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 345\/(-33)*(-10)\/25 + (-4)\/1. Sort -0.12, f, 0, -12 in descending order.\nAnswer: f, 0, -0.12, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -6. Let l(v) = -4*v**2 + 15*v + 15. Let o(b) = 2*b**2 - 7*b - 7. Give y*o(p) - 6*l(p).\nAnswer: -2*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5 = -4*k - 2, -2*b + 5*k = 15. Let v be -3*(-20)\/b + (16 - 0). Solve v = 3*u - 4*o, -2*u + 7*u - 20 = 4*o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a minute in seconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 1:45 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**4 - 117966*t**3 + 3478758349*t**2 + 13916449020*t + 13916920900 = 0?\nAnswer: -2, 58985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*t + 917 + 5432 = -287 for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87, 165, 231, 279, 303, 297?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 147*d**4\/8 + 105*d**3\/2 - 699*d**2\/8 - 216*d + 135\/2 = 0.\nAnswer: -3, -15\/7, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 204854 a multiple of 323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 8*f**2 - 2*f - 10. Let h be m(-8). What is the highest common divisor of h and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.264729 and 0.029.\nAnswer: 0.293729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -2\/9, -3, 4107.6, 13\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhmimmhhhhmhhmhhhmi.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -0.2 (c) 73981.383\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*n**2 - 13589902*n + 669850695.\nAnswer: -26*n - 13589902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/11 - (-9)\/(-33). Let x be -3 - -4 - s\/1. Solve 5 = -x*f + 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -19 - (-2 - -8)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18601927 is divided by 4477.\nAnswer: 4469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 274 + -747. Let f = 486 + h. Let s(n) = -n**2 + 13*n - 5. Calculate s(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - (4 + -8))\/(6\/8). Find the common denominator of (2\/(-36))\/((192\/558)\/r) and -77\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251997 is divided by 6446?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 10*t + 13*t = 10, 0 = -i + 4*t - 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 2*m**2 - 2*m. Calculate s(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -23a594 (base 11) in base 9?\nAnswer: -638280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 21491?\nAnswer: 5\/21491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddjdyedo. Give prob of picking 1 j and 3 d.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n - 6. Let j(b) = -2076*b - 10380. Calculate -7*j(w) + 12110*v(w).\nAnswer: 2422*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 44146161 (base 7) in base 12?\nAnswer: 132b269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 + 654*l**2 + 5685*l + 8778.\nAnswer: 3*(l + 2)*(l + 7)*(l + 209)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71*b**3 - b**2 - 155*b**3 + 19*b**3 - 98*b**3 to l*b**2 + v*b + s*b**3 + w and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -95.7, -1?\nAnswer: -95.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -301 - 48.5.\nAnswer: -349.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16031 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*w**6*z**2 - 945628*w**3*z**3 - 10*w**2*z**2 - 4604*w*z**3 + 36*z**2 wrt w?\nAnswer: -360*w**3*z**2 - 5673768*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -16a8277 (base 11) to base 4\nAnswer: -23002312103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88 divided by -140.\nAnswer: -22\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 924444203 to the power of 1\/5, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -28*s - 14. Let p(x) = 11*x + 3. Let t(r) = 34*r + 8. Let m(c) = 7*p(c) - 2*t(c). Let a(w) = 2*k(w) + 7*m(w). Is a(6) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/7 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25\/3? (a) -25.8 (b) -6 (c) 4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, y: 1, r: 2, b: 2, h: 4, x: 1}. What is prob of sequence rxfh?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbyyabwaaaabybywbaw. Give prob of picking 1 y and 1 w.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000024316 to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.8574347um?\nAnswer: 0.0000008574347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -5\/3, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k = 11*k - 1880. Let b = k + 698. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3319 = -47*f + 4823 for f.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1682 divide 2026376115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -2) + (-7 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 2:01 PM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1983696.79 to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-12) + (-52)\/(-12). Suppose -u*s - 197 = -5*x, -2*x + 4*s + s = -89. What is the remainder when x is divided by (2\/(-4))\/((-2)\/52)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, m: 5, q: 9}. Give prob of picking 2 q and 2 m.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43133312 - 124?\nAnswer: -43133441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 70*g**2 - 17*g - 1190. Let w be f(-70). What is the closest to w in 10, -2\/9, 1.8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g*t*w**3 + 23*g*t + 6*g*w + t*w**4 + 298*w**6 - 5*w**2 wrt w?\nAnswer: -12*g*t + 24*t*w + 35760*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*j = -39*j - 66*j - 280 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 8:06 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 10:52 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 185\/(-20) + 3\/12. Let c = t + 11. Suppose 2 = l - 3*l, -c*j - 3*l = -55. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8916429.\nAnswer: 3, 1303, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 - 25.1. Let n be (2\/4)\/(1\/(-6)). Which is the closest to u? (a) 4 (b) n (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 35 + -16 + (-98)\/(-68)*-2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 7*i. Let c = i + 15. Let s = -119355 + 119363. What is the remainder when c is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3568 - 3568. Let g(t) be the second derivative of -1\/3*t**4 + z + 0*t**2 + t - 2\/3*t**3. Factor g(y).\nAnswer: -4*y*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 4*n + 15, -33*n + 31*n + 2*w + 6 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29045.059 + -29030. Round b to 1 dp.\nAnswer: 15.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 138055.\nAnswer: -4\/138055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*n = 4147, -8270 = 48*y - 50*y - 2*n. What are the prime factors of y?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 259 - 182. Let l = 101 - d. Calculate the smallest common multiple of 39 and l.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8891359418988.599577 + 8890699923781.6. Let h = q + 659494307. Let n = 900 + h. What is n rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t - 3. Let y be (-1 - 2)\/((-6)\/4). Let a(g) = -4*g + 3. Let q(m) = y*k(m) + 3*a(m). Find the first derivative of q(v) wrt v.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 292, 2378, 8038, 19060, 37232, 64342?\n\"Answer: 298*x**3 - x**2 + 3*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/3 + (-3)\/(-9). Let s be 2\/((-2 + -3)\/(-5)). Solve -d = -f - s for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -2*u**3\/15 + 2*u**2\/5 + 6*u\/5 - 40. Find r, given that s(r) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37 (base 12) to base 7.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 4) to base 14\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 5\/2, -5, -2\/3.\nAnswer: -5, -2\/3, 2\/3, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 (base 10) in base 4?\nAnswer: -2103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221906316.\nAnswer: 2, 3, 37, 43, 59, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 9:12 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbbrrhhhjhhrbbb. What is prob of sequence jbr?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10687252991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003738614 rounded to 7 dps?\nAnswer: -0.0003739","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/4))**(-4\/11)\/(t**(-24)\/t*t*t\/t**(-1\/10)) assuming t is positive.\nAnswer: t**(2529\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3639, -13594, 2 in increasing order.\nAnswer: -13594, 2, 3639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) 425 (c) -5 (d) -0.01027 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (186\/(-30) + 7)*180. What is the highest common factor of 32 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 37.45428 weeks?\nAnswer: 22652348544000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -518*v**2 + 205*v**2 + 731*v**3 + 338*v**3 wrt v.\nAnswer: 6414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 95?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**3 - 82*t**2 - 6*t - 1158. What is a(41)?\nAnswer: -1404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -287 - 4?\nAnswer: -28b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22745?\nAnswer: 5, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 306 + 24421?\nAnswer: 24727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3917015?\nAnswer: 5, 23, 34061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1)**(37\/4)*c\/(c*c\/c**(-7))*c**(-7))**(-2\/161) assuming c is positive.\nAnswer: c**(1\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 512800.2 millennia to years.\nAnswer: 512800200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6466369.\nAnswer: 7, 13, 71059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + r = -r + 329, 0 = -3*r. Let h = 362 + c. Calculate the remainder when h is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - p**2 - p + 1. Let n(w) = 7*w**2 - 7*w - 8. Let d be n(-1). Let h(m) = 8*m**3 - 7*m**2 - 6*m + 6. Give d*g(k) - h(k).\nAnswer: -2*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20921\/5 + 4203. Let o = 19 - h. Let j = -1.5 - -0.5. Put 2\/7, o, j in increasing order.\nAnswer: j, o, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2575129 is divided by 8199?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 12*s**2 + 12*s + 6. Does 15 divide f(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 140762152 + -57?\nAnswer: 140762073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.6 - 5.38. Let b = -0.08 - j. Let k = 1072 + -1072.1. What is the nearest to k in b, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c - 185823 = 28865 + 43474. List the prime factors of c.\nAnswer: 2, 3, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*h + 7*h - 32. What is the tens digit of 4*(-1 + (-92)\/h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 3 + -11 + 1 + 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431 is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**3 + r**3 - 2*r**3)*(962*r**2 - 1557*r**2 + 994*r**2) + (-7 + 2 + 3)*(3*r**5 + 2*r**5 - 3*r**5) - 3*r + 2*r**5 + 3*r + 3*r**2 - 2*r**5 - 3*r**2.\nAnswer: 794*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -50348 and -196.9661157.\nAnswer: -50544.9661157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1*(864\/(-21))\/36\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 57*s - 991. Let i be p(71). Solve 3*t - 6 = i*y, y - 5 = -3*t + 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180 + 94 - 10*p + 86.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n - 18. Let o be v(-19). Which is smaller: 2\/91 or o?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 228*j - 8891. Give n(39).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/9 + 3384\/3382. Let r = -30427\/18601 - c. Find the common denominator of r and -38\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 24*d - 54. Let o be w(26). Let t = 35 + o. What is the remainder when 97 is divided by t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/18 and -5\/831.\nAnswer: 4986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 278782 from -672122.4.\nAnswer: -950904.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -6612.83 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10546126 (base 8) to base 12\nAnswer: 91b906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 358.2021517 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7931, -7934, -7937?\nAnswer: -7940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170502 - v**2 + 7*v + 56827 + 56827 + 56848 + 3*v**2.\nAnswer: 2*v**2 + 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**2 - 148*l - 1770 = 0. What is l?\nAnswer: -59, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r. Let z = 28897\/3 - 9609. Let g(c) be the first derivative of 0*c**2 - z*c**3 + 0*c - 9. What is g(n(q))?\nAnswer: -70*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -911 - 1315 = -106*q. What is the remainder when 416 is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46879116.\nAnswer: 2, 3, 43, 47, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 2*d + 8. Let c = d - -5. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -7469553, -3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 7*m**2 + m + 6. Let l be s(-5). Suppose -5*t = -l - 194. List the prime factors of t.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1015988.\nAnswer: 2, 17, 67, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -114.0534 + -4.0326. Let q = 64.17 + x. Let b = q + 54. What is b rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -525.535835 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b - 2056 = -24*b. Suppose -317*q = -321*q + b. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9119601.\nAnswer: 3, 19, 29, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 12 = -7*r. Suppose t - 2*m = 85, r*t - 139 = m + 201. Let b be (6\/(-5))\/((-34)\/t). Solve b*a = 3*y - 3, -a = -2*y + 2 - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1951\/36 - -490\/9. Let u(w) be the first derivative of -c*w + 1\/4*w**2 - 1\/12*w**3 + 5. Factor u(o).\nAnswer: -(o - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 6 = -17*n + 19*n, -5*k = 2*n + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13828?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*q = 27*q - 62 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 120940.31\nAnswer: -120943.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 221122 and 212724.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -201.66 - -200. Let d = -1.26 - h. What is the nearest to d in 5, -5\/8, -2\/3?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3373981 less than or equal to 3373986?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000361585 to 5 decimal places.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + m + 1. Let k be q(2). Let f = k - -1. Let l be -35 + f + 1 + -1. Round l to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 28*j + 106. Let g be m(-24). Solve 2*o - 6 = -4*a, -6*o + 2*o - g = -3*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2113\/2 - -1008. What is the common denominator of 4\/8 - 18\/(-8) and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4 + 13*z**2 + 6*z**2 - 25*z**2 - z**3 + 4*z**2. Suppose 0 = -4*v + 4 - 16. What is the units digit of n(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5000, 4896, 4792, 4688, 4584, 4480?\n\"Answer: -104*a + 5104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -414030636 by 9.\nAnswer: -46003404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 315 - 995. Suppose -5*q + y = -34. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - 34. Let l be (-258)\/54 + ((-50)\/5)\/(-2 + 0). Which is the nearest to 0.3? (a) v (b) -3\/5 (c) l (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 72*i**3 - i - 2. Calculate u(-1).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, 46, -1\/43, 3\/5, 3, -1\/8.\nAnswer: -60, -1\/8, -1\/43, 3\/5, 3, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of j**3 + 15\/2*j**2 + 0*j - 15\/4*j**4 - 3\/5*j**5 + 55. Determine c so that a(c) = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 1182*k + 1179*k - 2 + 28, -2*z - 2*k = 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -2999 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1344 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 229 - 306. Let y = u - -79. Find c such that -1\/3*c**y + 10\/3*c - 25\/3 = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(((-12)\/(-3))\/24). Let i be (u - -5) + (4 - 2). Which is the biggest value? (a) i (b) -4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -37, 75, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/d**(-2\/63)*d\/d**(-1\/6) assuming d is positive.\nAnswer: d**(403\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -478*w - 2*w**2 + 954*w - 476*w - 487 + 897*w**4 wrt w?\nAnswer: 21528*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 2*q**2 - 3*q)*(-5 - 1 + 3)*(15*q + 12*q - 5*q + (0*q - q + 2*q)*(-1 + 2 + 0) + 25*q + 24 - 24)*(-2*q + 0 + 0).\nAnswer: 576*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -487.\nAnswer: 5\/487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 1502*s**4 + 12*s - 1473. Let z(r) = -94627*r**4 - 754*r + 92800. Let o(c) = -377*p(c) - 6*z(c). Differentiate o(a) with respect to a.\nAnswer: 6032*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + s**2 + s + 12. Let g be d(0). Let p(h) = 114 - g*h**2 - 56 - 58. Let b(j) be the second derivative of -j**3\/3 + 2*j. What is b(p(i))?\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.647 > 0.325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 8:46 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*s - 3*x + x, 0 = -s + 5*x + 7. Suppose s*z = 5*o + 523, 5*o - 779 - 282 = -4*z. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(77) - (sqrt(77) - sqrt(77)*-3)*-5) + sqrt(77) + sqrt(77) - sqrt(77))\/(-4*(sqrt(28) + sqrt(7)) - sqrt(7)).\nAnswer: -66*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1859085299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rvb when three letters picked without replacement from {t: 2, b: 10, x: 5, r: 1, v: 2}.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 151*m + 33450. Give k(-222).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*g + 871 = 11*g + 27*g for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 990 and 37290.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = t - 4*t + 4, 0 = t + d - 3. Let c = -2 - -3. Let a = t + c. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20.3 + -20. Let q = 47.986 + -48. Let w = -0.214 - q. Sort z, -0.4, 5, w in decreasing order.\nAnswer: 5, z, w, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20417651.\nAnswer: 20417651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 337086 + 336976 = -5*l, 0 = 12*l - 3*c - 243 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2)*(-x - x + 4*x) + 0*x - 3*x + x + 2*x + x - x + 2*x + 0*x - 3*x + 6945 + 381*x - 6945 to the form v + y*x and give y.\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 22*k - 2671 = 7*k, 9*k = -4*g + 8*k - 88 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -186293, 1, -3, -4, 0 in descending order.\nAnswer: 3, 1, 0, -3, -4, -5, -186293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 32197 (base 10) to base 3\nAnswer: 1122011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35 + -15 + -5 - 8) + -18 - -10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2306 is divided by 9 - ((-63)\/13 - 4\/26)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.937997ms in minutes?\nAnswer: 0.00028229995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b - 1. Suppose 3*p = -p. Calculate r(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80 (base 10) to base 16\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -20110200221?\nAnswer: -20110200210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 5538.\nAnswer: 27690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2103*-1\nAnswer: 2103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/((-682)\/143)*(-568)\/156*-3\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -725.05904 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2596670, 5193345, 7790020?\nAnswer: 10386695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91548?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 + 3*q + 7. Let g be (1\/(-2))\/(13\/78). Let d be l(g). Let i = -16 + d. Solve 5*w = -5*k - 10, -2*w - 4*k = -i*k for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(7)*2 + sqrt(7))**2 + -4*sqrt(28).\nAnswer: -8*sqrt(7) + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4160 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - 5, -2*w - 69*x = -5*w - 65*x + 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.9139782 millennia?\nAnswer: 10967.7384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + -84 + 82 + -26.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*l = -4125 + 597. Calculate the lowest common multiple of 56 and l.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*p, 0 = -0*i + 4*i - 5*p - 749. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -6*a - 1. Let w(b) = -2*b + 6. Let n be w(4). Determine c(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*a + 195 + 333 = -78 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -173*b - 2391026 + 8104178. Does 17 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 971 is divided by 65.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-7 + -1) - -2. Suppose -20*o**2 - 122*o**2 - 13*o**3 + 35*o**5 - 190*o - j*o**2 + 168*o**3 - 40 + 185*o**4 = 0. Calculate o.\nAnswer: -4, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 1 = -g, 3*j = 4*j + 3*g - 3. Suppose j = -s + 680 + 231. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 181652 in 1\/6, -72, -1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - ((-2)\/17 - 38\/(-323)). What is the nearest to 0 in -0.2, 0.64, m, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4635594 and 0.2.\nAnswer: 927118.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiy when three letters picked without replacement from yyyydiyikdyykyk.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -11. Let r(p) = 2 - 339*p - 21 + 345*p. What are the prime factors of r(y)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10796*p**3 + 131*p**2 + 23775*p - 4.\nAnswer: 64776*p + 262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r - 6. Let a(q) = q + 1. Let d(y) = -14*a(y) - 3*t(y). Let l = 220 + -222. Let k be (-84)\/(-56) - 3\/l. Determine d(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 235510*-76.\nAnswer: -17898760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 6:55 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1, -7, -12, 8\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (7 - 0)*(-2 + 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**2 - 2*g**5 + 0*g**2 + 2*g - g**5 - 2*g + (g**2 - 2*g**2 + 3*g**2)*(3*g**2 - 3*g**2 + 2*g**3) + g**2 + 4*g**5 - 5*g**3 + 3*g**3 - 6*g**5.\nAnswer: -g**5 - 2*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3 = -0. Let n be -1 + (u - -239997) + 3. What is n rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 19 + -1 - (-209 - -216)) + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/431 (b) -5\/6 (c) -2 (d) 0.5 (e) 2\/3 (f) -11\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, w: 2}. What is prob of sequence wj?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p**3 + 10*p**2 - 2*p. Let h(q) = -4*q**3 + 11*q**2 - 3*q. Let d(c) = -4*h(c) + 5*o(c). Calculate d(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 14 = 3*l, f - 3*l = -0*l + 13. Let r(m) = -1 - 8*m**2 - 335*m + 336*m + 1. Calculate r(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 553*p. Let b(q) = -1069*q. What is c(b(f))?\nAnswer: -591157*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30141276 is divided by 7535313.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + 1217?\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3*i**3 + 14*a**3 - 37*a*i**3 - 2*a*i + 9*i**3 wrt a?\nAnswer: -6*a*i**3 + 84*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -58d15 - -5?\nAnswer: -58d10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1735 - 12141\/7. Which is the nearest to 2? (a) y (b) -0.03 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - w + (4 - 5 - 2)*(2*w + 2 - 2) + 30*w - 48*w + 20*w + (3 - 3 - 2)*(-w + 2*w + w)*(10 - 5 + 6) to q + x*w and give x.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**4 + 2*h**4 - 5*h**4 + (h**3 - 1 + 1)*(0*h - 4*h + 3*h) - 1393*h**3 + 1380*h**3 + 1 - 1 - h**4 to x*h**2 + s + y*h**3 + u*h + l*h**4 and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1777781?\nAnswer: 1777781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26679 - 699491 - 133868 = -40*d. What are the prime factors of d?\nAnswer: 7, 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 89 + 13551?\nAnswer: 1360a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1081435 and 0.09.\nAnswer: 97329.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 - f**3 + f**3)*(0 + 2 - 4) + 32*f - 13*f**3 - 32*f.\nAnswer: -11*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 59138*i. Let l(r) = 5*r**2. Give v(l(s)).\nAnswer: 295690*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48.4804729 + -0.396.\nAnswer: -48.8764729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 2\/17, 125, 61?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1927 + 9*k**2 - 3*k - 38 + 7*k.\nAnswer: 9*k**2 + 4*k - 1965","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -71*t**3 - 11*t**2 - 5*t - 218. Let f(i) = -i**3 + 2*i**2 + i. Let w(r) = -5*f(r) - h(r). What is the derivative of w(b) wrt b?\nAnswer: 228*b**2 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 7*c - 2 = 0. Let i be 313*-2 - -3 - c. Let f = i + 955. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 35\/(-14)*((-16)\/7 - 30\/(-105)). Suppose -y = -0*y. Solve y = 2*m + d*n - 14, 5*n = m - 2*m + 17 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187376303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, b: 4, a: 2, q: 2}. What is prob of sequence qba?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**5\/30 + 13*u**4\/24 - 29*u**3\/6 + 32*u**2. Let s be a(-9). Solve -m - 3*m = s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 0, -1\/5, -18785\/6 in increasing order.\nAnswer: -18785\/6, -35, -1\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 434 and 208.\nAnswer: 90272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62*s**6 - 9845*s**4 - 66556*s**2 - 3*s wrt s?\nAnswer: 7440*s**3 - 236280*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - (-22)\/(-8))\/((-1)\/(-4)). Let n(r) be the second derivative of -r**4\/6 - 5*r**3\/2 - 3*r**2\/2 - 16*r. Let y be n(t). Solve l - y*l = -3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (186*y**2 + 9*y**3 - 6 - 186*y**2)*(27 - 27 - 10*y).\nAnswer: -90*y**4 + 60*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 13*v**2 - 9 + 9. Let c(g) = 4*g**3 - 2*g**2 + 3*g - 2. Let f be c(1). Let b(r) = 1397*r - f*r**2 - 1397*r. Give s(b(d)).\nAnswer: 117*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u + 1. Suppose -4*l - 8 = 16. Calculate n(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 - 25*v - 9. Let l be s(13). Is ((-2)\/l + -2)*(-100824)\/60 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 20230*k**2. Let a(x) = -25*x. What is y(a(i))?\nAnswer: 12643750*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 663 is divided by 226.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -8*f - 31. Determine i(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3 + 2)*(-3*h - 8 + 7 + h)*(-1 - 3 + 6)*(-18*h + 29 - 29).\nAnswer: 720*h**2 + 360*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 5*j**4\/4 - 55*j**3\/2 + 685*j**2\/4 - 175*j - 375 = 0?\nAnswer: -1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 4*q**5 + 10532*q**4 - 42126812*q**3 - 84285204*q**2 - 42147864*q = 0.\nAnswer: -4818, -1, 0, 2187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478748042.\nAnswer: 2, 239374021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 141.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 99672844*c**2 + 13*c - 601742 wrt c.\nAnswer: 199345688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40.35 + -42. Let z = -12.55 - h. Round z to zero decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1129124460 - -2644684543. Let u = m - 1515560068.00000031. Let w = -15 + u. What is w rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/1395 + 929\/1395. What is the smallest value in -2\/9, x, -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a - 6. Let y be x(6). Let z be (-8)\/(-9)*3\/y. Let m = 7 - 6.7. What is the closest to 0 in 5, z, m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 0.3 (c) 0.45 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*0.038.\nAnswer: 0.0266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -w**5\/15 + w**3\/6 - 5*w**2. Differentiate a(m) with respect to m.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 71, -7, -4, 765, -1.\nAnswer: -7, -4, -1, 5, 71, 765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, q: 2, g: 1}. Give prob of picking 2 v and 2 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 658 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 5\/12*p**4 + 7 + 2*p - 25*p**2 + 5\/2*p**3. Factor i(t).\nAnswer: 5*(t - 2)*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2. Let v(p) = -6*p + 16. Determine x(v(c)).\nAnswer: -72*c**2 + 384*c - 512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 3\/2)\/((-4)\/8). Let q(n) = 4*n + 24. Let y be q(m). Is 11\/44 - 5035\/y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l + 7*l = -1 - 1 + 3, -2*l = -2*i - 4*l + 86 for i.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**5 - 882*n**4 - 30231*n**3 + 63120*n**2 - 32004*n = 0. What is n?\nAnswer: -254, -42, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 160576 in -3, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 - 2 = 5*u. Find the common denominator of (u\/(-16) - -1)*57\/(-56) and 31\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, a: 2, l: 2}. Give prob of picking 2 a and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1080 and 2502.\nAnswer: 150120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 700*v - 1387*v + 692*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15145428 by 6.\nAnswer: 2524238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4\/11 + 3\/22. Let u = -9 - -4. What is the second biggest value in g, u, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*f**4*k**2 - 2*f**4 + f**3*k**2 - 2*f**2*k - 5*f*k**2 - 9 wrt f?\nAnswer: 576*f*k**2 - 48*f + 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from ccrcrcccrrccrccrccr?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 13\/4 - (0 - -3). Suppose 0 + 1 = j. Let v be (-3)\/4 + j\/(-4). What is the nearest to c in 1\/2, -0.3, v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20256 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**3\/5 + 79*c**2\/5 - 944*c\/5 - 1024\/5 = 0.\nAnswer: -1, 16, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-51)\/(-2))\/(16\/32). Is 16 a factor of f - (-3)\/((-3)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30210 - -12103020123?\nAnswer: 12102323313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -567992 or -567994?\nAnswer: -567994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 9. Let r = j - 0. Let x be 5\/((-5)\/(-2)) - r. Solve 12 = 4*y + t, 0*y = y + x*t - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 13) to base 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1174616*-1.\nAnswer: -1174616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 791846889?\nAnswer: 3, 1493, 176791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -100011001?\nAnswer: -100011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -187 - -782. Is c a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/5))**(3\/2)\/(j\/j**(2\/7))**(-4\/19) assuming j is positive.\nAnswer: j**(-997\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**3 - 3*g**2 + g + 3. Determine t(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 172\/1067 - -2\/97. Find z such that 0 + 0*z + 2\/11*z**2 + d*z**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (20\/(-12))\/5 + (-738)\/(-270). What is the fourth biggest value in d, 0, -3\/4, -1\/8?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 2*n - 10 = 4*y, 5*y - 16 = -2*n. Let s = -643 - -1934\/3. Suppose -27 - 93 = -4*v. What is the second biggest value in v, y, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -3*r + 21. Suppose -14*k + r*k = 896. 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 second biggest value in 2\/3, -8, 0.5, -37, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + w + 5. Determine y(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -66 - (58 - 117) - -68\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26\/15 + -7\/3. Let j = 44 + -27. Let s = j + -22. Which is the second biggest value? (a) t (b) -3\/4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*u**2\/17 - 298*u\/17 - 84\/17.\nAnswer: -2*(u + 21)*(7*u + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000407318 rounded to six decimal places?\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkwk when four letters picked without replacement from kwkkwkhwhw?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -13*v - 1. Let t(j) = -2*j**2 - 5*j. Suppose -8*d = d + 45. Let u(l) = 2*l**2 + 4*l. Let x(h) = d*u(h) - 4*t(h). Give x(b(y)).\nAnswer: -338*y**2 - 52*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 6*z - 19 = -2*z, 2*z = -5*o + 43. Let j(d) = d - 2. Let v be j(o). Solve -h + 5*i + 9 + 3 = 0, 0 = -2*h - v*i - 21 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 8*v - 312. Suppose v = -m + 5*s, s + 28 - 94 = m. What is m rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*a = 3*a + 1583, 2*a - 769 = -g. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*q + 2*t - 2, -4*t - 4 = 2*q. Let o = 8618\/11 + -784. Which is the second biggest value? (a) q (b) -0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -77\/24448099?\nAnswer: -77\/24448099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*z - 85 = -53*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -111 + 103. Which is the third biggest value? (a) 4 (b) 1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 11, 2, -3, -5 in descending order.\nAnswer: 15, 11, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 481*v + 2. Let i be g(-3). Let f = i - -2164. List the prime factors of f.\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 2, -1, -6, -13, -22, -33?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -13. Suppose -12 = -q*o - 0*o. Let u(f) = -f**2 + f + 10. What is the smallest common multiple of u(0) and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 0*c**3 + 1 + 0*c - 1\/12*c**4 - 18*c**2. Let a(m) be the first derivative of 15*m**2\/2 - 1. Calculate g(a(v)).\nAnswer: -30*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -3*g. Let a be (-6)\/(-15) - -12*(-2)\/(-15). Sort a, -3, g in descending order.\nAnswer: a, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30400 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 28*n + 6. Let w be g(4). Let o = w - -170. Is 15 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -277\/4 + 69. What is the fourth biggest value in -3, w, 4, -4\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 755 = 12*t. Suppose 8*g = -t + 93. Suppose 0 = 3*z - 56 - 4. Solve g*x + 4*n + z = 0, -4*n - 21 = x + n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30244746?\nAnswer: 2, 3, 7, 269, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 + -27. Differentiate -7 - v*y + 33*y - 18*y with respect to y.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23789938*c**6*w + 3*c**3*w - 2614*c**2*w + 6420*c*w wrt c?\nAnswer: -2854792560*c**3*w + 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2272*c*q**5 + 6*c*q**3 + 2*c + 2*q**2 - 2*q + 185 wrt q.\nAnswer: 136320*c*q**2 + 36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10 - -1)*(-5 - -4). Let s(p) = p**2 - 9*p + 3. Let w be s(u). What is the third derivative of -m**2 + w*m + 2*m**6 - 3*m + 0*m wrt m?\nAnswer: 240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6021 rounded to the nearest 100?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z - 161*z**2 + 81*z**2 - 2*z + 79*z**2 as q*z**2 + j*z + h and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 79 - 94. Let z(y) = -y**3 + 9*y**2 - 10*y + 3. Let d be z(8). Let c = d - a. Solve 0*u - c*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(sqrt(18)\/sqrt(3)*2).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/((-1)\/6)*3 is divided by ((552\/9)\/23)\/(2\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(14) + sqrt(14)*-1))\/(1*sqrt(18)))**2 - (-2*sqrt(175) + -2*sqrt(7) + 1).\nAnswer: -1 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 7) + -3 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - w = 616. Let s = w + 184. Let d be 2\/6*s\/16. Solve -2 = -d*r - 10 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 + 58*v - 3720.\nAnswer: 2*(v - 31)*(v + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/10 + (-471)\/(-15). Suppose 0 = -s + 3*s - w. Let y = -4171 - -4283. Calculate the greatest common factor of y and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -140*z - 5*z**3 - 3 - z**2 + 2*z**3 + 144*z. Determine w(2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b**2 - 5*b - 9. Let p(v) = -5*v**2 + 5*v + 10. Let z(i) = -6*o(i) - 5*p(i). Let c be z(-4). Solve 5*r + c - 5 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/8 - ((-3)\/(-2) + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/2)\/1 + 8. Suppose -2*g + g + u = 3*m, -g + 3*m = -15. Solve -6*d + 2*d + g = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38694.\nAnswer: 2, 3, 6449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from sjsssssjssss.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 630 = -0*t - 3*z, 4*z - 631 = -3*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 404*y + 2835. Let a be n(-7). Solve 0 = -a*l + 34*l + 108 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1942*w - 1897*w + 180, -3*v + 32 = -5*w for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3.108083 * 0.01\nAnswer: -0.03108083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.225805ng in micrograms?\nAnswer: 0.007225805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**6\/120 - v**5\/12 - v**4\/4 - 5*v**3\/6 + 3*v**2. Give p(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 0.0545 (c) 0.2 (d) 4 (e) 2\/3 (f) 497.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 2*g - 15. Suppose -2*j - 18 = -2*k, -2*k = 5*j + 3 + 7. Let z be j - (-1 - (-39)\/g). Solve -5*h = -z*h - 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, -165, -253, -343, -435, -529?\nAnswer: -625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -1. Suppose -9 = -2*a + l. What are the prime factors of a\/((-75)\/6)*-30?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-157 + -2)\/((-9)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*r**3*v**2 + 2*r**3 - 8*r*v**2 - 201*r*v wrt v.\nAnswer: -24*r**3 - 16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60266 - -86449. What are the prime factors of i?\nAnswer: 26183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 9*h - 14*h - 15, -d + 2*h + 5 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -426*h + 28 = -419*h. Solve 3*w - 9 = z - 2, -h*z = 3*w - 32 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6*o**2 - o**3 - 3*o**2 + 16*o**3 - 23*o - 16*o**3 + 7 - 15*o**2. What is a(-23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/16*(-48)\/(-120) + (-6)\/(-8)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v. Let a(k) = 4*k**2 + 8*k. Let d(j) = -a(j) + 8*y(j). Let u(q) be the first derivative of 0*q**2 - q**2 + 5*q**2 - 3*q**2 - 13. Determine d(u(f)).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - r = 137, 3*u + 58 = -r - 23. Let h be 32\/14 - (-8)\/u. Let n = 4 - h. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -7*r. Let g(u) be the third derivative of -1\/8*u**4 + 0 + 0*u**3 - 25*u**2 + 0*u. Calculate g(q(a)).\nAnswer: 21*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41022236*o**2*v + 365*o**2 - 20017*o wrt v.\nAnswer: -41022236*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.049742 rounded to 3 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20870580 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 9*y - 24 = 0. Suppose y*r + 265 = 9*r. Suppose -5*i = r - 8. Which is the nearest to -1\/4? (a) -1\/7 (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -15*m**2. Let i(w) = w**2 + 9*w - 5. Let x be i(-10). Let f(u) = -3*u - u + 0*u + x*u. What is f(j(g))?\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/1130768 and 17\/17864.\nAnswer: 87069136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-6) - (-21)\/2. Suppose -n + 15 = 3*m, m - 5*n = 6*m - 35. Suppose -3*r = d, m*d + 2 = -4*r + z. Solve 2*v = -2*q, d*q + 2*v + 3 = 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 624 - 1044. Let g = x - -420.0305. What is g rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/197579 and 8\/671.\nAnswer: 2173369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/163250 and 37\/457100.\nAnswer: 2285500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*a - 20 + 3, -2*t - a = 21. Let g = t - -5. Let b = 689\/15 + -694\/15. What is the fourth biggest value in g, 1, -8, b?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5214756 to the power of 1\/3, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 93.799481 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**2 + 124*g + 7. Give p(-31).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7356*p - 20095*p + 1204057 = 243272 for p.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31388 - 18729. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6491, -12862, -19137, -25346, -31519, -37686?\n\"Answer: -5*k**3 + 78*k**2 - 6570*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-3) - 42\/(-18). Suppose y*j = 5*t - 22, 4 - 2 = -t - j. Suppose t*r = r + 61. Is r a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00306626527 rounded to four decimal places?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkkzzkkkzvzkzzpk. Give prob of picking 1 v and 1 z.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*r - 20*r**2 - 109*r**5 + 18*r**2 + 35*r**5 wrt r?\nAnswer: -4440*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -890 + 890. What is the closest to -0.1 in r, -1, -0.5, 0.05?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-3)*5\/(-10). Let n(x) = -8*x**3 + 3*x + 3. Let c(h) = -4*h**3 + h + 1. Let d(z) = 5*c(z) - 2*n(z). Give d(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*a - 12 = 0, -3 = -z + 2*a - 3*a. Let n be 1\/3 - 10\/3. Let l be (50\/15)\/((-2)\/n). Solve z = -l*c - 8 - 7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19517 and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19419 = -65*w + 273861. List the prime factors of w.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7*(-6)\/(-210))\/(-1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -523080 and -1.\nAnswer: 523080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16*-1*((-12)\/(-48) + -5). What is the highest common factor of x and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**4\/12 + u. Let r(q) = 452*q + 454*q - 905*q. Calculate r(l(i)).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**3 - 6*i**2 + 4*i - 640. Let t(n) = 7*n**3 - 16*n**2 + 11*n - 1920. Determine 4*t(y) - 11*v(y).\nAnswer: -5*y**3 + 2*y**2 - 640","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 600, 2385, 5352, 9501, 14832, 21345?\n\"Answer: 591*o**2 + 12*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g + 2*g + 12*g - 9*g - 5*g. Suppose -4*c - 10 = -5*v + 7, 5*v - 35 = -5*c. Let a(r) = -10*r**2 + 6*r**c - 2 + 0*r**2 + 4. What is a(t(i))?\nAnswer: -16*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 3*f + f)*(-2 + 2*f + 2) + (-3*f - f - f)*(-2*f - 4*f + 5*f).\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 915 - 312. Let h = f + -313. Let p = h + -291.99. Round p to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 25*a = 24*a, -2*i + 10 = 3*a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -6, -812, -4, -23, 3 in ascending order.\nAnswer: -812, -23, -6, -5, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (118*j**2 - 13*j - 36169773 + 36169774 + 51*j)*(j - 6*j + 3*j).\nAnswer: -236*j**3 - 76*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -630 + 7561\/12. Let c(v) be the second derivative of s*v**3 - 1\/48*v**4 + 0*v**2 + 5*v + 0. Let c(g) = 0. Calculate g.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 651748?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 57701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by -10?\nAnswer: 23\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 + 9 - 85)*(0 - 1 + 2)*(4*u**2 - 6*u**2 + 2*u**4 - 9*u**4).\nAnswer: 210*u**4 + 60*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20700 + 30322. What are the prime factors of d?\nAnswer: 2, 17, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 5*t**2 + 72*t - 36. Determine l(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 4*v + 30. Calculate the lowest common multiple of 1221 and w(3).\nAnswer: 10989","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 257144773 to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -25*n**5 + 420*n**4 - 865*n**3 - 1890*n**2 + 3860*n + 840 = 0.\nAnswer: -2, -1\/5, 2, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -2. Let d(x) = 5*x**2 + 4*x + 3. Let n be d(-1). Suppose -5*c + 14 = -4*u, n*c + u - 1 = 3*c. What is the closest to c in 1, 4, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**2 - 8*l**2 - 6*l**2 + 45*l.\nAnswer: -21*l**2 + 45*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 3*u + 6, -2*y + 3*y - 5*u = -10. Let h be (4\/4 + -1)\/(-4). Solve -5*a - f + 19 = -y*f, -f + 4 = h for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14918589*f*g**3 - 2989*f - 12007 wrt g.\nAnswer: 44755767*f*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17598856?\nAnswer: 2, 11, 227, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 28*x - 83. Give w(-25).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -96 - -98. Suppose -2*k - 222 - 34 = -4*j, s*k - 192 = -3*j. Let h = 103 - j. Is h a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 91*j*l*n - 3377*j*l + 1744*j*n**2 - 7*l wrt n.\nAnswer: 91*j*l + 3488*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/9*j**3 - 1\/9*j**4 - 7*j**2 + 16\/9*j + 64\/9.\nAnswer: -(j - 1)*(j + 1)*(j + 8)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 12:17 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (67\/134)\/(-3*(-1)\/(-6)). Let h(d) = -32*d**2 + d. What is h(t)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -21121?\nAnswer: -21202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-14)\/3)*(-273)\/637\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 178*f - 15. Let z(h) = -79*h + 7. Let v(s) = 4*b(s) + 9*z(s). Calculate v(-24).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 3*l**8\/112 - l**7\/30 - 75*l**4\/8 - 166*l**2. What is the second derivative of s(q) wrt q?\nAnswer: 180*q**3 - 84*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 2 = 4*o - 15, -4*o + 25 = -5*k for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2 - (-12 + 9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13\/4 of a millennium?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 419*j**9\/168 + 881*j**5\/60 + j**2 + 83*j. Find the third derivative of i(s) wrt s.\nAnswer: 150840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of o**5\/110 - 2*o**4\/33 - 10*o - 9. Let c(h) be the first derivative of g(h). Let c(s) = 0. Calculate s.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000044644 to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10658)\/(-130) - (-989576)\/(-12068)?\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 27, 44, 63, 84, 107?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 307*m + 0 - 2 + 2 - 1528*m in the form d*m + b and give d.\nAnswer: -1221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, 871, 0, -2\/9?\nAnswer: 871","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/5 - 276*m + 15422\/5.\nAnswer: -2*(m - 11)*(m + 701)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 927*u**4 + u**3 - 3*u**2 - 928*u**4 - 4*u**3 + 2*u**2 + 1 to the form y*u + t + h*u**3 + w*u**4 + d*u**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267*u - 4 - 265*u + 15 + 19.\nAnswer: 2*u + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2\/3 - 13528*f\/3 + 18016.\nAnswer: 4*(f - 3378)*(f - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-5190)\/(-120) + -20 + -22\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2\/3*c**2 - 2*c + 0 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*82\/(-2) + (-49 - -45). Calculate the greatest common divisor of 1666 and f.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - w. Let p(q) = 19*q - 100. Let c be p(-9). Let f = c - -279. What is the lowest common multiple of j(-1) and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 23*w**2 + 56*w - 543. What is the thousands digit of j(43)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*p = 36*p + 792. Does 22 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/5 of a litre?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of s**6\/180 + s**5\/20 + s**4\/6 + 5*s**3 - 19. Let b(f) be the third derivative of t(f). Determine o so that b(o) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, u: 1, z: 4, q: 2}. What is prob of picking 1 s and 1 q?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000065891 rounded to 7 decimal places?\nAnswer: -0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2. Let j(k) = 502*k**2 - k. Determine z(j(s)).\nAnswer: 252004*s**4 - 1004*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 22 + 3. Let v(w) = -55*w + 31. Let g be v(-2). Suppose -4*l - 141 + g = 0. Solve -3*f + k*f + 2 = l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p**2 + 5*p**2 + 7*p**2 - 2*p**2 + 10*p**2.\nAnswer: 26*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or 292\/29?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 0, 89, -1 in descending order.\nAnswer: 89, 0, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-3) - -9)\/(2\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -5*y + 62. Give v(8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3157*b*p**2 - 26*p**2 - 59*p wrt b?\nAnswer: 3157*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -24806a (base 11) to base 14\nAnswer: -a28c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1703 a factor of 6650215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 44512884 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1013, -4007, -8995, -15977?\n\"Answer: -997*w**2 - 3*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 - -221122?\nAnswer: 221231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 3. Suppose -2*k + 7 = 4*j - k, -2*j + 3 = k. Let w(b) = -u*b**j - 2*b**2 + 8 - 8. Let y(p) = p. Determine y(w(o)).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/27)\/d)\/(d\/(d\/((d\/((d**8*d)\/d))\/d))) assuming d is positive.\nAnswer: d**(191\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 65.918 and 4.\nAnswer: 69.918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 - 12 = -3*p, 37*p + 75 + 52 = y + 3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000563426 rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -8911 <= -10175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 37503 = 5*j, j - 3*y - 11464 + 3949 = 0. List the prime factors of j.\nAnswer: 3, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*n**3 - 3*n - 476 with respect to n.\nAnswer: -36*n**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -158123 + 2250109?\nAnswer: 2091986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 20612 and -533465.3.\nAnswer: -512853.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -3*x + 6. Suppose -13*z = 22*z - 35. Sort z, 0, -3, x in ascending order.\nAnswer: -3, 0, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t + 108 - 6 = 0. Suppose -t*u = -23*u - 34. Sort -0.5, 0.12, u in ascending order.\nAnswer: u, -0.5, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5*a + 10 = 0, -1 = -3*i - 2*i + 2*a. Let l be 12\/4 + (-1)\/i. Suppose l*v = -v + 75. Is 15 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(4) + sqrt(324)*1 + sqrt(324)).\nAnswer: sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*v - 21, 203 - 62 = -5*h + 3*v. Let n(y) = -y**2 - 30*y + 10. Let i be n(h). Solve b + 3*g = 6, -2*g + i = -5*b - 11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 630\/(-175) + 6\/10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116046?\nAnswer: 2, 3, 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -46760827 from 0.3.\nAnswer: 46760827.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*d - 321 + 83 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5949540 to the power of 1\/2, to the nearest integer?\nAnswer: 2439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 540*t**3 + 595*t**3 - 1689*t**3 + 557*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 134, 2\/7, 74?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8865, -8863, -8859, -8853, -8845, -8835?\nAnswer: -8823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 93241 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (295\/200 - 2) + 2\/5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 3*w**2 - 4*w + 1. What is n(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*q - 7*u + 9*u - 34, 12589*u - 12585*u = -6*q - 24 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 10) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjajjjjjjjj. What is prob of picking 1 a and 1 j?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 100388756?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93303, 93379, 93505, 93681?\nAnswer: 93907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -7. Suppose -2*n = b*v, n = -4*v - 4*n + 17. Let u(c) = -2*c. What is u(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 990\/17 or 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10578 - -15311. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 42*k - 3. What is the hundreds digit of m(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-480)\/(-150) - (-5)\/((-275)\/186).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, l: 10, a: 7}. What is prob of sequence ld?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55b (base 14) to base 13.\nAnswer: -638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 93 - (-100 + 146) - 131\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or 0.3?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 6*w - 42. Let m(f) = -f + 18. What is the remainder when 765\/w - 18\/42 is divided by m(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271*h**3 - 201*h**3 + 460*h**3.\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 112*y + 3. Let b be (-4)\/18 - (-1111)\/99. Suppose -3*a = -x + b, 3*x - a = 2*a + 21. Is d(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -29?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 753733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -4*z**5 + 8792*z**4 + 378444*z**3 - 4755472*z**2 - 5125120*z = 0.\nAnswer: -52, -1, 0, 11, 2240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 910427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 6477\nAnswer: -4\/6477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 - 107 = -4*r. Let a = -25 + r. What is the greatest common divisor of 121 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 510177 is divided by 509909?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -494521.9 to the nearest 100.\nAnswer: -494500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2985.5 * 3\nAnswer: -8956.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2*b + 64. Suppose 3*t - 4*t = -b. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3817691443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -50424430, -100848862, -151273308, -201697774, -252122266, -302546790, -352971352, -403395958?\n\"Answer: -k**3 - k**2 - 50424422*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3933 divide 386495910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 151386007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/23 in -3, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 389*f - 6246. List the prime factors of r(38).\nAnswer: 2, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t. Let s(u) be the second derivative of -u**4\/3 + 6*u. What is s(d(j))?\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -455, -468, -491, -524, -567, -620, -683?\nAnswer: -756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 6. Let k(t) = t**2 - 2*t + 16. Let d be k(0). Suppose -78 = -2*o - d. Calculate the remainder when o is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + w)*(-1 - 1 + 4)*(-5*w + 2*w - w).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 169*d**2 + 13*d + 16. Let v(o) = -o**2 + o + 1. Let x(s) = t(s) - 5*v(s). Find the second derivative of x(n) wrt n.\nAnswer: 348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 divided by 162337?\nAnswer: 75\/162337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 0)**2 + sqrt(38)\/sqrt(2)*5 + -3.\nAnswer: 5*sqrt(19) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301746 is divided by 4408.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6428856?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 3*s - 196. Let f be s\/((-3)\/(-12)*-2). Suppose 0 = -2*c - 4*n + f, 5*c - 176 = c + 2*n. Does 15 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2876703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11654 - 206?\nAnswer: -12163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 487609507, 487609505, 487609503, 487609501?\n\"Answer: -2*c + 487609509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004228 to five dps.\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u. Let s(t) = -15*t**2 + 3*t. Determine s(m(c)).\nAnswer: -60*c**2 + 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 2816\/367?\nAnswer: 2816\/367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -2*g, -2*h + 5211*g + 126 = 5216*g for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 368 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2160690 divided by 216069\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*a + 1031*a + 223*a + 201*a to the form g + m*a and give m.\nAnswer: 1487","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 2\/7, -2\/165, 9\/250, -5\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 11:07 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-10)*(-76)\/285)\/(30\/(21600\/48))\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 740 - 740. Solve 363*h - 362*h - 4 = r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*(sqrt(567)*4 + -3 + 0)*2*-1.\nAnswer: -648*sqrt(7) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**2 + 7*d - 2. Give n(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8632, -17287, -25942, -34597?\n\"Answer: -8655*s + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4)*p*p\/p**5*p*p)\/(p**(-1\/3)\/p*p)**(-2\/3))\/(p\/((p\/((p\/(p**(1\/10)\/p*p))\/p))\/p*p)*p\/p**(-3\/5))**(10\/9) assuming p is positive.\nAnswer: p**(-62\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 773 and 404279?\nAnswer: 404279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1369 at least -124569\/91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -124 - -124.012. Round m to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -87b8 (base 13) to base 7.\nAnswer: -106063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -40*j. Let l be v(-1). Suppose -d + 9 = -5*c, 2*d + 24 = -3*c - c. Let n be (4\/d)\/(8 + l\/(-6)). What is the nearest to n in -0.4, -1\/17, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 735.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -89.483835 to one decimal place.\nAnswer: -89.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5321 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 21*t - 63. Let g be p(3). Let m(r) be the second derivative of -17*r - 1\/9*r**3 + g - 1\/6*r**2 - 1\/36*r**4. Factor m(y).\nAnswer: -(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pzzz when four letters picked without replacement from pvzpvzzpppppz?\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 3 (b) -2\/7 (c) 0.3 (d) -2\/5 (e) -7371 (f) -8 (g) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8784567 and 2403.\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/240*(-3 + -3))\/((-2175)\/290)?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 33. Let w = o - 7. What is the third derivative of -w*l**2 + 26*l**3 - 26*l**3 + 7*l**5 wrt l?\nAnswer: 420*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43228 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7740000 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*r + 509 + 110 - 79 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.3061 to the nearest integer.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m + m**2 - m - 3*m**2 - 4. Let t(q) = q**2 + q. Let p(b) = 8*b**2 + 4*b + 3. Let d(c) = p(c) - 6*t(c). What is -5*d(h) - 4*o(h)?\nAnswer: -2*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 8*d - 2. Let f = 57 - 56. Give v(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 41. Let t = s - -94. What are the prime factors of t?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*s + 68. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21012 + 1142332?\nAnswer: 1213344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183 = -8*p + h + 178, -4*p + 7*h - 35 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5623*a + 5623*a + 3*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*v - 580 = 0, -6*m + 3*v = -m - 1485. Does 25 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 4*y = 24, n - 2*y - 1993460 = -1993470 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - 4*d + 8, -13*u - 5*d + 24 = -11*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yirrrrnryiryyriln. Give prob of sequence yr.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 12 + 18. Let m be 8\/20 + g\/(-100). Let v = -4 - -1. Which is the closest to m? (a) 1\/4 (b) -0.4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -121\/6*w**3 - 30*w - 33*w**2 + 0. Let a(o) = o + 1. Let k(l) = 66*a(l) + i(l). Let d(f) = -f**2. Give d(k(z)).\nAnswer: -3025*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 0) + 8 - (-3 + 11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/4212 and 47\/468?\nAnswer: 4212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f*z**5 - 48*f*z - 559660*z**5 - 4661*z**2 wrt z.\nAnswer: 60*f*z**2 - 33579600*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 - 243*w\/8 - 15\/4.\nAnswer: -3*(w + 10)*(8*w + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -u + 29, k + 2*k + 5*u = 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 8*r**2 - 5*r - 5. Let t be a(-8). Suppose 2*l + 5 = 13. Suppose l*k = -k + t. Calculate the least common multiple of k and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 times -6154?\nAnswer: -80002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/(o*o*o**5)*o)*o\/o**(-1\/5) assuming o is positive.\nAnswer: o**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 48 = 4*o. Let n = o + 15. Factor -1\/4*c**n - 5\/4*c - 1\/2 - c**2.\nAnswer: -(c + 1)**2*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/4 - 52\/(-16). Suppose -44 - 76 = -r*l. Suppose 119 = 4*a + 3*n + 6, 2*a - 4*n = l. Is 13 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 275798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80.73 - 11.\nAnswer: -91.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 8 = q + 4*k, 5*k - 14 = q. Let c be ((-1)\/(-2))\/(1\/q). What is the units digit of (-52)\/(-20) + c\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11427 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -o**4 + 256*o**2*z**2 + 2*z**2 - 85*z wrt o.\nAnswer: -4*o**3 + 512*o*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*g + 6*g + 104 - 0 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 57640695 + 2?\nAnswer: 57640697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 660954 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 111*g - 112*g = 31261, -4*k = -2*g - 31258. What is the greatest common divisor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*q = 637 - 777. Solve 15 = -a - 2*t, q*a = 4*t + 20 - 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 5*u**2 - 2*u + 6. Let v be x(5). Let p(c) = 5*c**2 + 1 + 5 - 5*c**2 + 7*c + 2*c**2. What is the smallest common multiple of p(v) and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2 - 1 + y + 4 + 3. Does 8 divide r(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(24\/(-30) - 2\/10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -84527\/612 - -2407\/17. Find the common denominator of d and -131\/60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4 + 0 = 0. Suppose -2*q - 3*q = 5. Sort q, h, -5.\nAnswer: -5, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 - 9 - 866*p**2 - 15 + 87*p**2 - 721*p**2 to the form a*p + m + q*p**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2909484367.\nAnswer: 2347, 1239661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.12 + 3.92. Let h = -4 + f. Does -1 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*x = -8. What is the least common multiple of x and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(78)\/(sqrt(48)\/sqrt(8)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-25))\/(22 - 19)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**2 - v. Determine y(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.261928 weeks?\nAnswer: 44.003904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 52, 91?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 742300 divided by 5.\nAnswer: 148460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1742?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 1. Let r(g) = -g + 2. Suppose 6 = -5*m + 11. What is m*r(y) - 6*t(y)?\nAnswer: -y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a millennium?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 947 = -289. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u - 2. Let l be o(-1). Let i(p) be the third derivative of 1\/30*p**5 + 0*p + 1\/150*p**6 + 1\/30*p**4 + 0*p**3 + 0 + 13*p**l. Factor i(h).\nAnswer: 2*h*(h + 2)*(2*h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -l**3\/3 - 5*l**2\/2 + 6*l + 106. Let u = -7 - -2. Give x(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of k**5\/5 - 2*k**3\/3 + k + 9. Solve c(r) = 0 for r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 2*d + 2*d)*(-d + 189 - 189 + 1636*d**3).\nAnswer: 3272*d**4 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, -3 in descending order.\nAnswer: 2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 2*t - 2*t)*(0*t + 3*t - 5*t + (1 + 2*t - 1)*(-6 + 3 + 5) + 2 + t - 2 - 3*t - 2*t + 4*t + 0*t + 0*t + t) + 2*t**2 + 2*t**2 - 3*t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**2 - 34*g - 3 + 0*g**3 + 32*g - 2*g**2 + 4*g**3 to r*g**3 + l*g + i*g**2 + q and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -s**4\/12 - 13*s**2\/2 - 4*s - 692. Let b(m) = m**2 + 7. Determine -11*b(k) - 6*w(k).\nAnswer: -5*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2513.3 - 4.\nAnswer: -2517.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, w: 7, r: 5, a: 1, g: 2}. Give prob of sequence wraw.\nAnswer: 1\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rss when three letters picked without replacement from {r: 5, s: 7}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (70828*n + 73210*n - 149561*n)*(4*n**2 - 2*n + 0*n**2 - 2*n**2) to k*n + a*n**3 + d*n**2 + s and give d.\nAnswer: 11046","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/8 (b) 2\/3989 (c) -1 (d) -4 (e) -177\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9903.\nAnswer: 3, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (-2 - -2) - -63. Suppose -4*f - 29 = -3*k + 8, -4*k - 2*f = -m. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 104*c - 149. Let l(n) = 103*n - 169. Calculate 7*l(t) - 8*u(t).\nAnswer: -111*t + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (3140\/1256)\/((-325)\/110 - -3)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -203\/3 - -67. Let u be 102\/6 + (-3 - (-5 - 2)). Put 5, r, u, 0.5 in increasing order.\nAnswer: r, 0.5, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -344*w + 173*w - 5*q = -170*w + 11, 7*w + q = -43 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 2*m - 54. Is m not equal to 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-3 - 8 - -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -16*q + 938. What is the least common multiple of 3215 and f(58)?\nAnswer: 6430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63824*b**6 - 500*b**2 - 43 wrt b?\nAnswer: 7658880*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7*o - 2\/7*o**2 + 6\/7.\nAnswer: -2*(o - 1)*(o + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-220 - -160)\/((-28)\/((-2548)\/39)).\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11299?\nAnswer: 11299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, a: 6, h: 2}. Give prob of sequence waha.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49134037 is divided by 12812.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*h + h - 5*h - h + 0 + 0 + (-1 - 1 + 3)*(2*h - 5*h + h)*(290 - 810 - 317) in the form c + u*h and give u.\nAnswer: 1671","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14010 + -5604. Does 43 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2886559 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131 + 3?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100111 - -111110010001?\nAnswer: 111000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*t - 4*t + 62*t + t to the form c*t + a and give c.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvt when three letters picked without replacement from {v: 2, t: 6, j: 1, n: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 789*x - 26910 = -6396 for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o - 2. Let j be x(-6). Let v(s) = -2*s - 3. Let w(l) = 3*l + 4. Calculate j*w(t) + 5*v(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, x: 2, a: 4, s: 4, c: 4}. What is prob of sequence fcaa?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 40375 divided by -8075\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*o = -141036, 0 = 3*v + 624*o - 620*o - 141054. What is the ten thousands digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4 (b) -0.5 (c) -18 (d) 90 (e) 3 (f) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1142\/25 - -76277656\/1669825. Are x and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8635.7036 rounded to the nearest 10?\nAnswer: -8640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12270)\/(-27) - (4\/(-14))\/((-54)\/84). Sort 2, j, 6 in decreasing order.\nAnswer: j, 6, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 53. Suppose 2*x - 179 = -3*a, a + x + x - 53 = 0. Let q = -31 + a. Calculate the greatest common divisor of q and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*t**3 + 6130632*t + t**3 - 6130632*t - 14*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 10. Let c = 1 + w. Suppose -c*n + 7 = -5. Solve -z + 21 = -n*x, -4*z = -z - x - 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - -4. Suppose -3*t + 123 = 5*b, -49*t = -43*t - 2*b - 318. What is the remainder when t is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000051454 rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18432*x**3\/5 + 4719488*x**2\/5 - 60473322*x + 6707610 = 0 for x.\nAnswer: 1\/9, 4095\/32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 7 - (5 - 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*r + 30*r + 783 = 2291 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5643.93 - -5644. What is the closest to -240 in 2, 1\/6, -2\/7, b?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -2, 4, -490, -307.\nAnswer: -490, -307, -26, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -814*t**2 - 4*t - 207431 + 207431 to the form a + x*t**2 + o*t and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311400*p - 622786*p + 311389*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -4*n - 1, -5*n + 2 + 8 = 5*f. Let j(c) be the first derivative of 31*c**3\/3 - c + 9. Is 12 a factor of j(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.12, 3, -431, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6.84 and 869488?\nAnswer: 869481.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 643611492?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 divided by -2581?\nAnswer: 104\/2581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93048.97 weeks to nanoseconds.\nAnswer: 56276017056000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 4)*(-5*w + 3*w + 4*w)*(-2 - 2 + 1)*(-w**2 + 3 - 3) in the form u*w**3 + m*w**2 + k*w + g and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1289 less than -0.337?\nAnswer: 1288.663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v + 12*v + 10*v + 2*i + 101 = 0, -7*v + 4*i - 155 = 0 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*v + 15*v + 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 331847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-6))\/(2\/(-8)*3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 15 = 0, -m + 5*m = -4*h + 3440. Suppose -j + h = 15*i - 13*i, -2*j + 4*i = -1754. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + -8 + (31 - 59).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 711 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3808 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -26781, -7, -4.\nAnswer: -26781, -7, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -77*i. Let y(q) = -1848*q. Let p be (-7)\/(-14) + (-1)\/(-4)*586. Let l(g) = p*c(g) - 6*y(g). Let u(x) = -8*x. Calculate -3*l(d) + 88*u(d).\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**3 - 2*n + 1. Suppose -k - 1 - 2 = 0. Let l be 3\/9*(-10 + 4). Let a(o) = -2*o**3 + 3*o - 1. Calculate k*d(b) + l*a(b).\nAnswer: -2*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.15918 rounded to 2 dps?\nAnswer: -2.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 17*u**3 - 13*u**2 + 17*u + 13. Let w be (-48)\/30*(-2 + (-14)\/8)*1. Let g(p) = -8*p**3 + 6*p**2 - 8*p - 6. What is w*k(r) + 13*g(r)?\nAnswer: -2*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -26813, -26807, -26807, -26813, -26825, -26843, -26867?\n\"Answer: -3*p**2 + 15*p - 26825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 22113221?\nAnswer: 22113212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/4)\/((-1)\/(-2)). Suppose 4*l = -i*x - 2 + 23, 3*l - 10 = 2*x. Solve -o = l*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -4 + -5 - (2 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c7 (base 13) in base 5?\nAnswer: -2312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(76)*-2)\/sqrt(4).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3644*g**6 - 2*g**5 + 31*g**3 + g**2 + 1005934?\nAnswer: -437280*g**3 - 120*g**2 + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 9*c**2. Let u(h) = 46757*h. Determine u(s(b)).\nAnswer: 420813*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 31. Suppose v = z*f + 55, -6*f = -2*v - 4*f + 86. Is v a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5*g - 45 + 8 = 0, -21 = -2*b - 5*g. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 611 = -v + 726, 6697 = 5*v + 4*r. Is (v\/36)\/((-2)\/(-16)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 8*q**2. Suppose -2*a = -241 - 9. Let k(c) = 125 - a - c**2. Calculate b(k(d)).\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 305922800 to the nearest integer?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*r + 8 = -2*r, 2*r + 12 = 5*w. Suppose -i = w - 7. Suppose u + 4*u = -3*x - 12, 0 = -2*x + 3*u + 11. Solve -2*g = x - i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 3 = 0, 5*t + 114*y = 112*y + 21 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 11.8. Sort -0.5, r, -3.\nAnswer: -3, -0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-26)*q*q**(-1\/4))**(2\/33) assuming q is positive.\nAnswer: q**(-97\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 77821 a multiple of 240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -f + 740. Calculate the common denominator of -4 + (314\/f - -2) and (-5)\/4*364\/50.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13005.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64 - -67. What is the highest common divisor of 12 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63610 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yocw when four letters picked without replacement from wynwbobobbocwyo?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-2)\/7*((-4424)\/(-240))\/79)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/28 - (-40)\/7. Let m(k) = k**2 - 8*k + 7. Calculate m(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 3:29 PM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 1\/12*d**4 + 0*d**5 - 1\/80*d**6 - 2*d**2 + 0*d + 0 + 1\/420*d**7 + 0*d**3. Factor t(q).\nAnswer: q*(q - 2)**2*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + -1)*-2 + -4 + 1 - (1*sqrt(48) + -4 + -3))**2.\nAnswer: -72*sqrt(3) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.79 * -6.\nAnswer: 16.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -16*s - 59. Determine q(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 108 + -106. Suppose 0 = -d*l - 0*l. Is l at most as big as 1\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25346.164 - -25346. Sort 0, l, 0.03, 1\/3 in descending order.\nAnswer: 1\/3, 0.03, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1833687144 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -8, -8 = 2*f - 5*y + 2*y. Suppose 3*g + 2*c = -7, f*g - 4*c - 3 = 3. Is -1 + -1 + g - -262 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 2\/25 (c) -3\/2 (d) -1\/8 (e) 3 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 160 and -3098.\nAnswer: -2938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4626.753 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -13. Let g(n) = -n + 3. Let t be g(0). Suppose -5*v = -2*h - 26, 0*h + h = -t. Sort r, -3, v.\nAnswer: -3, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -55) + (19 - 138)\/(-17)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18176 is divided by 2589.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65 + 80. Suppose -129 + 9 = -u*l. What is the smallest common multiple of 28 and l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z - 5. Let r be n(-2). Let j be 44\/(-11) + r*70. Let s = -46 + j. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/7 (b) 4 (c) -1 (d) 0.4 (e) -0.2 (f) 6\/12719 (g) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 188 and 7567.\nAnswer: 30268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*u**2*w**4 + 52*u**2*w**2 - u**2*w + u**2 - 122*u*w**2 + 9616*w**6 wrt w.\nAnswer: -168*u**2*w + 1153920*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 394 divided by 6\nAnswer: 197\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -3*s - 2190, -5*p - 2*s + 2656 = -1001. Let z = 11691\/16 - p. Find the common denominator of z and 49\/40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -908 - -1823. Is 42 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3809707 is divided by 24900.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7108 - 7108. Let k(t) be the third derivative of 0*t**4 + 20*t**2 + q + 1\/60*t**5 + 0*t + 0*t**3. Let i(b) = 53*b. Calculate i(k(d)).\nAnswer: 53*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39643509 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/7, -8, 62365, 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + g**2 + 2*g**2)*(4*g**2 - 11*g**2 - 2*g**2) + (-g - g + 8*g)*(-g**3 + g**3 - 2*g**3).\nAnswer: -30*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 2486653, -8\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, b: 2, l: 7}. What is prob of sequence klb?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1802 is divided by 1798.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/5*w**2 + 1\/5*w + 0 = 0 for w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -316958 + -232677.3.\nAnswer: -549635.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 3\/2, 1078091?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 1 = 4*v - 3, -v + 1 = 5*d. Let s(f) be the second derivative of d*f**2 + 3*f + 0*f**3 + 1\/90*f**5 + 0 + 1\/54*f**4. Let s(n) = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -222*o**2. Let g(x) = 4 - 5 - 4 + 5 - 2*x**2. Determine g(h(i)).\nAnswer: -98568*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 0, -4, -8, -6, 8, 40?\n\"Answer: p**3 - 6*p**2 + 7*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 - 46 - 18*t**3 + 97.\nAnswer: -18*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 247403578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 381 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.5466 minus -1.614?\nAnswer: 47.1606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 314125.5t?\nAnswer: 314125500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h + 3. Let p be (4*(-1 - -2))\/(-2). Let d(b) = 2*b + 2. Let v(y) = p*n(y) + 3*d(y). Let j(w) = -2*w**2. What is j(v(t))?\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -25\/5203?\nAnswer: -25\/5203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395 is divided by 191?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*r = -15*r + 1442138. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = k + 133, -2*m + 128 = -0*m - 2*k. Let v be m\/18 + (-3)\/(-18). Solve 0 = -2*l - v + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -103*g + 98. Calculate j(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 79*d**2 - 3250*d + 596811 with respect to d.\nAnswer: 158*d - 3250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6 - 5) + -4)*(-3 + 0) - 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - (-1508)\/87)\/(1*2\/6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 77, 234, 537, 1034, 1773, 2802?\nAnswer: 4169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/14, -35, 4, 0.106, -0.3 in descending order.\nAnswer: 4, 0.106, -1\/14, -0.3, -35","meta":{"dup_signals":{},"source":"comparison__sort_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: Let j(u) = 7*u - 1. Let n(k) = -6*k + 1. Give -4*j(f) - 5*n(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nkounuhkohusuhusu. What is prob of picking 1 k and 1 n?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2744 + 1.7256. Put a, -5, 1\/2, -0.02, -7 in descending order.\nAnswer: a, 1\/2, -0.02, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11295\/90296 - 1\/11287. What is the smallest value in 0.09, n, -95?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5296516 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 23. Let q = 1 + h. Let w be 1*-4 + (-1)\/(-1). Put -0.5, w, q in ascending order.\nAnswer: w, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -u**2\/2 + 8*u - 1. Let h be s(5). What is the remainder when 12 is divided by h\/(-2) - (-68)\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 432843065 or 432843062?\nAnswer: 432843065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 27\/5 of a tonne?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 24 = -2*d - 3*m, 3*d + 2*m - 4 = 0. Suppose -4*r = -16, 0*n = 4*n - 2*r + 8. Let q = n - d. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -13. Suppose -7*n = -z*n. Suppose n = 5*d - 8*d. Which is the closest to -1\/3? (a) 2\/9 (b) 3\/4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*g + 34*g**2 - 2 - 4*g**4 - 35*g**2 + 29*g**3 + 39*g + g**4 in the form c*g + i*g**2 + u*g**3 + y + a*g**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-2 - -1) - (62 + (2 - (10 + 5))).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of b**6\/30 + 3*b**5\/10 - 11*b**3\/3 + 2*b + 24. What is the second derivative of x(j) wrt j?\nAnswer: 12*j**2 + 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**4\/6 - o**3\/2 + 12*o**2. Calculate the lowest common multiple of 10 and f(3).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/277 and -86\/8865?\nAnswer: 2455605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3482 - 2494. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 102202786 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**2\/4 - 6447*d\/2 + 12895\/4 = 0.\nAnswer: -12895, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -19 - 5. Let l(m) = -12*m**2 + 32*m + 5. Let n be l(3). Let y = g - n. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 14 = -130. Suppose -3*y + y = i. Let v = 87 + y. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1900)*2 - sqrt(1900)*-2*-2) + 0)**2.\nAnswer: -40*sqrt(19) + 7601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-559))\/((318 - 327)*(-3)\/13 - 2).\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 425616 (base 10) in base 4?\nAnswer: 1213322100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1935)\/(-135))\/43)\/(3\/(-3)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 g when two letters picked without replacement from {c: 1, g: 6, z: 4, m: 4, q: 3, y: 1}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 49. Calculate the remainder when s is divided by (-9)\/((-135)\/(-80))*(-6)\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 19. Let u(k) = 25*k - 1. Let z be u(1). Let n = z + 1. What is the remainder when n is divided by h(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 584?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**39)**(-5\/8) assuming l is positive.\nAnswer: l**(-195\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + o = -46. Let h = o - -50. List the prime factors of (-32)\/(-18) - (-6)\/h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -94153 (base 14) to base 13.\nAnswer: -c6649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -113.89861106 + 79.89861199. Let u = -79 - -45. Let o = w - u. What is o rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81\/(-252)*224\/(-126)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9240 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 44?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 5*i - 1. Let f = 52 - 55. Let j(a) = a. Give f*j(v) - w(v).\nAnswer: -v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/q**(3\/8))\/q*q*q**9*q)**(12\/7) assuming q is positive.\nAnswer: q**(279\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, l: 13}. Give prob of sequence ly.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 1054.3\nAnswer: 4217.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22.983 - -0.017. Let q = -22.7 + i. What is the third smallest value in 4, q, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 32\/(-6) - (-4)\/(-6). Suppose 2*r + 26 = -5*u + r, r = 4. Is u != q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 20851*j - 1. Let g(h) = -2*h + 8. Calculate c(g(x)).\nAnswer: -41702*x + 166807","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 6*s**2 + s - 4. Let u be o(6). Let b = 34 - u. What is the greatest common factor of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) 0.4 (c) 56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 6*g - 3. Let i(s) = -6*s + 5. Let j(t) = 7*t - 6. Let u(q) = -4*i(q) - 3*j(q). Let z(x) = -4*a(x) + 10*u(x). What is the tens digit of z(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 5)*(5*q**2 + 19*q - 19*q)*(0 + 0 + 4*q**2).\nAnswer: -40*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1516665012 to the power of 1\/2, to the nearest integer?\nAnswer: 38944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**2\/3 + 328345*p\/3 + 328346\/3 = 0. What is p?\nAnswer: -1, 328346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 167\/((-10855)\/910)*((-2)\/4 - 0). What is the biggest value in -184, f, 2, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1515229526.\nAnswer: 2, 29, 26124647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**2 - 2. Let t(n) = n**3 + 2*n**2 - 3*n**2 + 5 - 5*n**2. Calculate -2*t(q) - 5*v(q).\nAnswer: -2*q**3 - 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/7 + 632*o\/7 - 49928\/7.\nAnswer: -2*(o - 158)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 1 + 0 = q, 2*q + 5*o - 2 = 0. Which is greater: q or -1\/12?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.5 - 26.5. Let c = z + 30.127. Let h = 4.873 + c. What is the biggest value in 1\/4, 0, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466554 (base 8) in base 15?\nAnswer: 32209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 15*v + 12*v + 16005 = 0, 2*v - 16002 = -2*j. Is 62 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6949 - 6948.999965238. Round n to 6 decimal places.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1697 + -1187. Let l = -502.73 + f. Let x = 0.03 + l. Round x to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*5\/15*0\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.0255 or -299?\nAnswer: -299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (46\/(-115))\/((-2)\/(-20))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**3\/5 - 36933*p**2\/5 - 82088496*p\/5 + 206450626716\/5 = 0. What is p?\nAnswer: -6882, 1453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*s = 108*s - 7182 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (14\/6 - 3)*-9 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6373*k + 38241. Give f(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and -5878.\nAnswer: -5878.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 7*m**2 - 6*m. Let b be o(6). Let z = 1 + 4. Solve -z = -t - b*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111b20 (base 12) to base 6.\nAnswer: 5503240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*f - 39*f - 56 = 0, -4*f + 7*f = 3*u - 2*u - 0*u - 37 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 149 in -576, 1\/5, -3, 37\/2, -4\/5, -2\/7?\nAnswer: 37\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 + 4)*3*-1. Let l(g) = -3*g**2 + 2*g + 4. Let u(o) = 3*o**2 - 2*o - 3. Calculate z*l(k) + 4*u(k).\nAnswer: 3*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -5637 at most -2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*-5*6\/15 - (-39 - -34)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 47*u + 294. Let z be l(-15). Let j = 573 + z. Is 24 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-53)\/53)\/(11\/(-44)*82\/(-1)).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 92 - 84. Let q be ((-3)\/(-2))\/(2\/(-12)). What is the smallest common multiple of q*(-9)\/(108\/8) and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -d + b + 29, -d - 5*b + 8 = 0. Let a(f) = 12*f. Let x be a(2). Let m = x + d. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293151584 a multiple of 211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/4)\/(-5 - -6). What is the nearest to -1 in 0.1, z, -5\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2333453*a + 6969615.\nAnswer: 2333453","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92043583.\nAnswer: 73, 743, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1286676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/(-6))\/(2\/(-84)). What are the prime factors of (b\/7)\/((-4)\/10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - (sqrt(121) + 2*sqrt(121)*-1))\/sqrt(11).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -24*f**2 - 20*f - 20. Suppose 0*h + 3*h = 5*u - 6, 0 = -3*u + 3*h. Let d(n) = 8*n - 3 + 2 - n**2 - 6*n - u*n. Give -20*d(a) + j(a).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 9*t**2 - t + 2. What is the units digit of d(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 42, -378, 0.4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3601.478 rounded to the nearest one hundred?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/9 + 1312*b\/9 - 215168\/9.\nAnswer: -2*(b - 328)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/7 + 420*o**2 - 462178*o\/7.\nAnswer: -2*o*(o - 1291)*(o - 179)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 388 - 324. Let t = 318 + -62. What is the greatest common divisor of v and t?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*((-132)\/32 + 4 + (-3219)\/296). Let f(l) = l**2 - 7*l + 7. Let p be f(6). Is p equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00031886 rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009417414 rounded to six decimal places?\nAnswer: -0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 213 (b) 5 (c) 2\/7 (d) 0.2 (e) -2\/5 (f) -22\/7 (g) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -121*l + 2 - 1 - 54*l as a*l + i and give a.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*d**4 + 9*d**3 - 16*d**2 - 4 wrt d.\nAnswer: 432*d + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 6 + 10 = 2*o, 3*o - 4*k = 2. Suppose -3*l + 5*x - 60 = -8*l, 2*l - 25 = -3*x. Calculate the lowest common multiple of l and o.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1964689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2234, 2202, 2134, 2018, 1842?\n\"Answer: -2*r**3 - 6*r**2 + 2242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3000171 or -9\/2?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 0.01, -4, -1\/3, 59.\nAnswer: -4, -1\/3, -0.02, 0.01, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7637535 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -245, -304, -393, -512, -661?\n\"Answer: -15*u**2 - 14*u - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2414, -6170, -9926, -13682, -17438?\n\"Answer: -3756*s + 1342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 202?\nAnswer: 202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.872339 rounded to 3 dps?\nAnswer: 0.872","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -7*m - 6. Suppose -5 - 13 = 6*i. Let o(n) = 10 + 6*n + 1 + 8 + 6 - 20. What is i*w(j) - 4*o(j)?\nAnswer: -3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -4*u + 5*n, 2*u + 5 = 2*n + n for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 13) in base 3?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 968 and 2024?\nAnswer: 22264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1313755692 to the power of 1\/4, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50901?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -40*v**2 + 509642952*v - 8116748078852322\/5 = 0. Calculate v.\nAnswer: 63705369\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 6:45 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 147 and 9954?\nAnswer: 69678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000017031 rounded to 7 dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1658622 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3741019 to the power of 1\/3, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 0) + 3 - -2. Suppose -4*h = 5*o + 1 + 46, h = -q*o - 8. Let m = 42 - h. What is the remainder when m is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, s: 1, m: 1}. Give prob of picking 1 s and 1 m.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 0*w + 2*w)*(6 - 12123*w + 12123*w + 92*w**2).\nAnswer: 92*w**3 + 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t**4 - 2*t**3 + 6852*t - 2 - 6852*t in the form o + g*t**4 + s*t**2 + c*t + y*t**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3725 and 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + (-1)\/(5\/20). Let r be (-33)\/p*(-2)\/(-3). Let u = r + 20. Sort u, 20, 4 in decreasing order.\nAnswer: 20, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 5*i**2 + 7*i - 13. Let l be r(6). What is the nearest to 0.1 in -1, l, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1182213*w + 5356 = 1182316*w for w.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 427908969 to the nearest integer?\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 68*r + 9 + 56*r)*(r + r + 0*r).\nAnswer: 248*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*h**3 - 51*h**3 + 23*h**3.\nAnswer: 53*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*k - 160 = 49*k. Let x(h) be the first derivative of -h**2 + 2\/3*h**3 + 0*h + 16 + 1\/2*h**4 - 2\/5*h**k. Determine i so that x(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4800*n**4 + 1347120*n**3 + 94517307*n**2.\nAnswer: 3*n**2*(40*n + 5613)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-17070)\/(-35) + (-6)\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 3:39 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6793 + 2674 = 214*l - 2027 + 794 for l.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2359 + 2359. Solve d = 3*c + n + 12, -2*n - 16 = 6*c - 2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1165.451 + 1170.7. What is s rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 7*u - 6. Let a be x(7). Let t be a\/(-2 + 2\/4). Let z be (-16)\/10*(-35)\/2. What is the greatest common divisor of z and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -3. Let s(p) = -p + 12. Let l be s(10). Suppose y*u - o - 19 = -3*u, l = -2*o. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 800 and -55865299?\nAnswer: 55866099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*s + 8. Let u(i) be the third derivative of i**4\/4 - i**3\/6 + 1287*i**2. Calculate u(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 468841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1635 divided by -568?\nAnswer: -1635\/568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*h = -24, -h - 80 + 74 = 3*r. Solve -3*b - 6*g = -39, 10*g - 15*g + 20 = r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22943*p - 45831*p + 22892*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 44, 79, 116, 155, 196, 239?\n\"Answer: n**2 + 32*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 5:35 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 592357354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 y when two letters picked without replacement from nzjyzao.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6139\/5 + -1227. Put -5, m, -0.4, -42 in ascending order.\nAnswer: -42, -5, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 247 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*l**4*x**2 - 49*l**4 + 162*l**2*x**2 - l*x**2 wrt l.\nAnswer: -96*l*x**2 - 1176*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ycc when three letters picked without replacement from yyyyyycyyyyyycyyyyyy?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 5917\/(-549) - (7 - 3)\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n - 31. Let z be q(16). What is the greatest common divisor of z and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bysf when four letters picked without replacement from {y: 4, x: 2, s: 2, f: 3, l: 2, b: 1}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3854950, -7709893, -11564826, -15419749?\n\"Answer: 5*x**2 - 3854958*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, 3, 4, -3 in increasing order.\nAnswer: -61, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 317736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 652397c?\nAnswer: 6523977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 16 = -4*l, 4*l = 4*i - i + 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z + z - 4*z)*(5 + 0 - 4) + 5272 + 522*z - 5272 - 3*z + 2 - 2 + (5*z + 0*z - 4*z)*(-3 + 3 - 2).\nAnswer: 519*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 49017.7 to the nearest 1000.\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -63\/2*d**2 + d**3 + 15\/4*d**4 - 54*d + 3\/5*d**5 + 9. Factor m(h).\nAnswer: 3*(h - 2)*(h + 1)*(h + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 11:18 PM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 10851*d**2 - 889792*d + 823. Give r(82).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/8 - 91471*m**2\/8 + 11170625*m\/8 - 340817553\/8.\nAnswer: -(m - 61)**2*(m + 91593)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2. Let u(c) = -168 - 4*c + 168. Determine z(u(t)).\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -5204.5 to the nearest one hundred.\nAnswer: -5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-60) - 37\/111)\/((-18)\/10). What is the closest to 0 in -0.02, f, -0.2, 3\/7?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/8 + 551*k**2\/8 + 36945*k + 3689550.\nAnswer: -(k - 911)*(k + 180)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 234 - 7718\/33. Let g(l) be the first derivative of -3\/22*l**4 - 2\/55*l**5 + 3 + 0*l + 0*l**2 - m*l**3. Find x, given that g(x) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 0, 5, -104.\nAnswer: -104, -12, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.22 in -2\/13, -4, -11?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 23 times -0.0912015\nAnswer: -2.0976345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*w - 103*w + 206*w - 6.\nAnswer: 4*w - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 6 = 0, -3*x = -6*x - 3*i + 6. Suppose 0 = 4*f + 4 - 16. Suppose 2*u - 4*z = -8 + 32, -u + f*z = -16. Solve 0 = -x*c - c + u for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8787 divided by -1510?\nAnswer: 8787\/1510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o = -57*o + 360 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -73 (base 12) to base 15.\nAnswer: -5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -496 (c) 1\/6 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y. Let q = -4 + 1. Let r be (q\/(-2))\/((-6)\/(-8)). Let f(d) = -5*d**2 + 2*d**2 + 4*d**r. What is p(f(t))?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 38*k - 36*k. What is the second derivative of -4*j**2 + 4*j**2 - 23*j**3 + 2*j - k*j wrt j?\nAnswer: -138*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-15))\/(4\/(-20)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178505.\nAnswer: 5, 19, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23.547*1.\nAnswer: 23.547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38789, -77153, -115517, -153881, -192245?\nAnswer: -230609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1727136531?\nAnswer: 3, 191904059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.4 (b) 23 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of b**4\/12 + b**2\/2 - 3*b - 2628. Let g = 40 - 18. Let m(a) = 4*a**3 + 11*a**2 + 11. Calculate g*u(t) - 2*m(t).\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 - 2*f**2 - 2*f**3 - f + 4*f**3 - 4*f**3 + 2*f**3 + 3*f - f**3 - 3*f + (-2*f - f**3 + 2*f)*(-1 + 0 - 2).\nAnswer: 2*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18018723539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + 5*g - 4*g + (g - 2*g + 2*g)*(83 - 6764 - 59) - g + 0*g - g.\nAnswer: -6743*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -4\/25 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35641015, -35641018, -35641021, -35641024?\nAnswer: -35641027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 8 (c) 3 (d) -3\/14 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52\/81 - -2869\/810. What is the common denominator of n and -131\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2003 = -2*t - 2001 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 253 = j. Is 80 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 273 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -335 + 330. Put 3, 2, -4, f in descending order.\nAnswer: 3, 2, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 0*s**2 - 54*s + 2*s**2 + 55*s - 7*s**3. Let x = 17 - 12. Suppose 4*a + 9 = o, -x*a = 2*o + 3*o - 20. What is g(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/10 and 43\/5182950.\nAnswer: 5182950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + m = 6, 0 = 2*q - 4*m + 5*m - 8. Differentiate -34*g**3 - 6*g**2 + 10 + 6*g**q + 11*g**3 - g**4 wrt g.\nAnswer: -4*g**3 - 69*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 10*q**2 - 8*q + 29. Let c be k(-9). Determine o, given that 14*o**2 - c*o**4 - 24 + 9*o**2 - 32*o + 16*o**4 + 2*o**3 + 11*o**2 = 0.\nAnswer: -3, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 17*h**2 + 5*h + 5. Let m = 7 - 9. Let x be l(m). Let d = x + -15. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*l + 9 + 31. Which is the second smallest value? (a) l (b) -0.2 (c) -2\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1114*37\/222*(-9)\/3 is divided by 106.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17 - 588b0b3?\nAnswer: -588b10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19365228 + 0.3.\nAnswer: -19365227.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**3 - 10*g**3 + 4*g**4 + 8*g**2 + 2*g**3 + 5*g**3 + 2 as b*g**4 + h*g**2 + q*g**3 + f + p*g and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4}. What is prob of picking 2 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17904)\/(-6825900))\/(4\/122)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.26 + -0.26000037. What is i rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -628.529 times -2.11\nAnswer: 1326.19619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 - 1642025*i + 73881000.\nAnswer: 5*(i - 328360)*(i - 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 10 + 16*g.\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 192.214582 rounded to 2 dps?\nAnswer: 192.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 1.5. Suppose 2*c = -10, -s = -4*c - 13 - 32. Suppose -7*p + s = -12*p. Sort 1, -4, p, a.\nAnswer: p, -4, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5947639?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o. Let l(t) = -10*t - 41540. Determine v(l(u)).\nAnswer: -20*u - 83080","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7, -92, -6, -9, -69 in ascending order.\nAnswer: -92, -69, -9, -7, -6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21303221 - 2?\nAnswer: -21303223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4202 - 4201.99. What is the nearest to s in 0.4, -4, -11, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*u - 335*u**2 + 2*u + 333*u**2.\nAnswer: -2*u**2 - 12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 61\/2 in -42, -4, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-3)\/(-27))\/((-68)\/24).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36097394 != 36097394?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 4*j - 14 = 0, -38 = -14*w - 2282*j + 2280*j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 29*m - 4. Let w(o) = 108*o - 15. Let s(y) = -15*r(y) + 4*w(y). Let x(l) = 46*l + 4. Let h(d) = -23*d - 2. Let p(b) = 7*h(b) + 3*x(b). Give s(p(t)).\nAnswer: 69*t + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.7298 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaakakaaxaaaakx. What is prob of picking 2 a?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 11) to base 4.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 240.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 0 + 4 - 2 - 247*d - 13 in the form a*d + c and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6592745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17566 is divided by 8662?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*r - 39*r = -8455. What is the remainder when 229 is divided by r?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 4*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -17 + (5 - 16)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**2 + 2326*c - 2328 = 0.\nAnswer: -1164, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28933465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*x**2 + 8*x**2 - 2*x**2)*(-26 - 9*x + 26 + 20 + 7*x - 20 + (-2*x + 2*x - 2*x)*(3 - 4 + 3) + 4*x - x - x).\nAnswer: 36*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95354 and 3058?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 19. Let r(m) = -2*m**3 - m**2 + 3*m + 1. Let q be r(-2). Sort 4, d, q.\nAnswer: d, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5.35454 micrograms?\nAnswer: 0.00535454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 29 - 39 - (-123 + 78)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-168)*-4*20\/5\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5 = h. Suppose -3*a + 37 = -h. What is the highest common factor of 112 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (27\/(-6) - -3)*-10. Let y = -11 + u. Solve 13 = 3*f - 4*h, -f - 4*f + 11 = -y*h for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30.4021*-263.\nAnswer: 7995.7523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1682*r**3 - 4176\/7*r**2 - 4\/7 + 246\/7*r.\nAnswer: 2*(7*r - 2)*(29*r - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 784\/(-140) + 2 + 24\/(-10)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.3 + 2.4. Let j = 3.5 - q. Let m = 2.400017 - j. What is m rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*z + 138*z - 183 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 39\/(-52)*8\/(-3). List the prime factors of (4\/(-5))\/(r\/(-25)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence buu when three letters picked without replacement from {d: 2, b: 6, u: 2, h: 1}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 376, 128, 48 in decreasing order.\nAnswer: 376, 128, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -23, 3\/7, 1\/5 in decreasing order.\nAnswer: 3\/7, 0.3, 1\/5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000919308 rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 13*u - 1. Let p be z(3). Let w = p + -26. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -11) + -6 + 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -76, -276, -2\/39 in descending order.\nAnswer: -2\/39, -76, -276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 914 - 95 = m. Let z be (m\/(-2790))\/(2\/4). Let r = z + -2\/155. Which is the smallest value? (a) r (b) -2\/5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*r + 7943 = 229*r + 2063. Let q(l) = l - 19. Determine q(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 31*z**2 - 6*z + 7. Is x(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/341 (b) 1 (c) -0.4 (d) 0.3 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-183*m**2 - 50*m**2 + 12*m**2)*(147*m - 20*m**3 - 147*m).\nAnswer: 4420*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 290*a**2 - 167*a + 256. Determine b(4).\nAnswer: 4228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.91999906 - -0.92. Round w to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 258*t**2 - 4387*t + 107. Calculate a(17).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and ((-3)\/(-9))\/(4\/36)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 5 + 12\/(-3). Suppose d*h + 27 = -11. Let a = 2.5 + -3. What is the second smallest value in a, 2\/11, h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 11*n + 49 = 0 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (342\/(-3))\/(2 + -1). Let z = 226 - j. Calculate the remainder when z is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 36*g = -32*g - 40, 4*g = 5*p - 14 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5030\/(-4)*(-44)\/55. Is (-1)\/(-8) + r\/16 + 2 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213021157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -89.6307.\nAnswer: -85.6307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 28 (b) 3 (c) -0.7522 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*q - 1354*q - 18*q**2 + 10*q**2 + 2*q**2 + 11*q**2 as b + j*q + a*q**2 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1584578 from 29914.953.\nAnswer: 1614492.953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 462 and 66297.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 25*l - 24. Determine p(11).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8533290, -17066568, -25599834, -34133082, -42666306, -51199500, -59732658, -68265774?\nAnswer: -76798842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from risisitiisti. Give prob of picking 1 s, 1 r, and 1 t.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -6*h + 20. Solve -2*l + 0*l - 7 = 3*s, -h*s - 5*l - 14 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*x + 25*x - 35542 = -2*w, 4*w = 3*x + 71070. List the prime factors of w.\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + n. Let l(m) = -42*m**4 + 9*m**2 + 7*m. Let z(k) = 14*a(k) - 2*l(k). What is the third derivative of z(j) wrt j?\nAnswer: 2016*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 251*g + 56 = 256*g, -v = -4*g - 47 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence owbw when four letters picked without replacement from {o: 1, w: 9, b: 1, q: 5}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 757056 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 17, 19, 21?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, r: 6, m: 4}. Give prob of sequence rv.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 - 23768*x - 118865.\nAnswer: (x - 23773)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 71891364 and 304.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -14*f**2 + f - 1. Let p be r(1). Let t be p\/(-4)*4\/7. Find the third derivative of -t*c**2 - 17*c**3 + 17*c**3 + 2*c**6 wrt c.\nAnswer: 240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/237, 13, -1\/2 in descending order.\nAnswer: 13, 2\/237, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*3*(-60)\/90?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1136*s + 21957 - 75364 - 21569 for s.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2668.3 and 762.\nAnswer: -1906.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -20 - 9) + -4 - (0 - (-90 + 13))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.5 + 0. Let d = 0.1 - -3.9. Let i = q + d. What is the second smallest value in i, 0.2, 2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4721\/11765 + -3\/2353. Let k be (10\/(-4))\/((-2)\/4). What is the biggest value in k, d, -0.3, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 173652 (base 11) to base 14\nAnswer: 6dad4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3868 or 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -233.\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/4 - 87*d\/4 - 81\/2.\nAnswer: -3*(d + 2)*(d + 27)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4 - 386844*m**3 + 18780932234*m**2 - 7243382335512*m + 701198671185608.\nAnswer: 2*(m - 96517)**2*(m - 194)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6116 or -6115?\nAnswer: -6115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -0.09683?\nAnswer: -1.90317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-3)*10\/(-4). Suppose z - f = -0*z. Suppose 2*u = 7*u - 30. What is the smallest common multiple of u and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*u**4 + 34*u - 34*u + (5*u**3 - u**3 - 2*u**3)*(-3*u + 0*u + 2*u) + 0*u**4 - u**4 - u**4.\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 399 + -397. Suppose -5*n - 3*q + 20 = 0, -12 = n - 4*n - 4*q. Find the third derivative of 16*g**x + n - 9 - 4*g**3 + 5 wrt g.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + s - 5 = 0. Suppose -58 = -s*j - 4*i, 2*j - 40 + 10 = -5*i. What is the derivative of 10*p + 3 - 2*p**3 - j*p wrt p?\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 788743 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 1 = p. Let l be (-5)\/3*p\/(-5). What is the third biggest value in l, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3501.\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 21*v - 22*v + 3*v**2 + 188 - 189. Let p(w) be the third derivative of -w**5\/6 + w**4\/6 + 2*w**3\/3 + w**2. Calculate -14*j(s) - 4*p(s).\nAnswer: -2*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 less than -40329335848?\nAnswer: -40329335943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 189*z + 187*z = 12, 0 = -5*m + z + 36 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 3. Let k(s) = o*s**3 - 131*s**2 + 131*s**2 + 2*s**3. Calculate the remainder when k(3) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1270564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -184*m + 321 wrt m?\nAnswer: -184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-9 - (1 + -1 + -5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 8*u**2 + 30*u - 38. Determine b(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -15 - l - 5*l**2 + 8*l + 21 - l**3. Let m be q(-6). Let d be ((-1)\/((-4)\/(-4)))\/(1\/(-4)). Solve m = 3*n - 5 - d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 339.61 + -5.61. Let c = 330.94 - a. Let k = -0.06 - c. What is the third biggest value in -0.2, k, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n - 11. Let d(k) = -4*k - 56. Let y = -22 - -20. Let q(l) = y*d(l) + 11*x(l). Does 11 divide q(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 5 (c) 10\/3 (d) 28\/3 (e) -0.044\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 4*r**2 - 30*r - 14. Let f be k(8). Let o(s) = 2*s**2 - 2*s + 3. What is o(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23046 by -69.\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -599*k + 3593*k + 36 + 10517*k - 36.\nAnswer: 13511*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -28?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + y**2 + y + 4. Let v be a(0). Suppose -18*b**3 + 0*b**v - 3*b**4 - 28*b - 39*b**2 - 12 - 8*b = 0. What is b?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from icciciiuciiuicu. Give prob of sequence ucc.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/(-2)*2\/(-12) and ((-10)\/(-25))\/((-8)\/(-305))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223927 (base 13) in base 16?\nAnswer: c53ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 + 163. Calculate the smallest common multiple of 21 and h*8\/(-20)*-1.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k - 19. Let m = 12 + 3. Let s be q(m). Let a be ((-3)\/(-4))\/(2\/88). Calculate the greatest common divisor of a and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(13) + -3 + 5.\nAnswer: -2*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 11. Let p = 249\/5 + -981\/20. Which is the nearest to 3? (a) q (b) -0.3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 350521037\/5307330 - 140\/75819. Let u = n + -307\/5. Find the common denominator of -57\/8 and u.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -241880651*t**5 + 378071*t + 69?\nAnswer: -4837613020*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -28*x - 202. Calculate a(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 98147 or -93?\nAnswer: 98147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*v - 83 - 151. Suppose v*b + 12 = 116. What is the remainder when 9 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 9:14 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69\/138*(-8)\/(-2)*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/2 - 43*s**2\/2 + 220*s + 242.\nAnswer: (s - 22)**2*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2\/125 of a kilometer?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + (-4 - -8) + -1. Suppose -5*s - t + 20 = a, t = s + 6*t - 4. What is the derivative of s*o**3 - 10 + 2*o**4 + 7*o**3 - 11*o**3 wrt o?\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 11, w: 9}. What is prob of picking 2 w?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38020387?\nAnswer: 19, 2001073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-27) + (-1 - 940\/180).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18886, -18884, -18882, -18880?\n\"Answer: 2*n - 18888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2034416 or -2034380?\nAnswer: -2034416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-84) + (-10)\/105?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 72677.67 litres?\nAnswer: 72677670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/8 - 3\/(-12). Suppose 0 = -4*p - 1693 + 1701. Solve -p*r - 8 = -f*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -130 + 5?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -874 - -4194\/5. Is j != -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 21. Suppose 51 = 4*p + i*c, c + 10 = 3*c. What is the remainder when 35 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -11*t**2 + t + 2. Let x be m(-1). Let w be (-30)\/(x\/(-2)) - -3. Put w, -6\/11, 0.1 in descending order.\nAnswer: 0.1, -6\/11, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 10*u + 11. Let o be q(9). Factor 0*w**3 - o + 2*w**3 - 3*w**3 + 3*w.\nAnswer: -(w - 1)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -12*t**3 - 2*t**2 - 2*t - 1. Let f be (-1)\/((-3)\/(-6)*2). Let x = -24 - -34. Calculate the smallest common multiple of x and l(f).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**3\/8 - 21*p**2\/8 = 0.\nAnswer: 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 5*x - 662, 4*x - 414 = q + 112. Find the second derivative of -315*b - x*b**5 - 340*b + 544*b wrt b.\nAnswer: -2640*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 3*j + 4*j)*(j**2 + j**2 - 3*j**2)*(2*j**2 + 6*j**2 - 3*j**2).\nAnswer: 5*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*h + 2*n, -5*h - 2*n - 1 = -17. Suppose h*a = 4*a. Suppose -r + 2 = -2*s - 1, a = -2*r + 2*s + 4. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 11) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/181370046 and 19\/10146576.\nAnswer: 1450960368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -108*t + 3. List the prime factors of i(-1).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3825 + 3981. What is the greatest common divisor of 2613 and k?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3237 = -3*f, 2*f + 0*r + 2*r - 2182 = 0. What is the remainder when f is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 8*i + 2. Let u be b(8). Solve -u*w = -3*w - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 33?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + 5*((sqrt(378)\/sqrt(96))**2 - sqrt(63) - sqrt(63))).\nAnswer: -1137\/16 + 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaff when four letters picked without replacement from bfaqufba?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tzcvlvx. What is prob of picking 1 z, 1 c, 1 v, and 1 t?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29832\/7 - -1491831\/350. Let i(t) = t**2 - 2*t. Let f be i(1). What is the common denominator of (-2)\/(36\/109) + f and d?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3 = 5. List the prime factors of -6*(-2)\/(o*3\/42).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 307020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c**2. Let u(d) = 122260147*d. Calculate u(l(g)).\nAnswer: -611300735*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 8*s = 20039920. Let u = s - 7309980. Round u to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 1 + (-5 - 1 + 0)*(3 - 4 - 1) + (-1 - 4 + 3)*(0 + 4 + 2))*(-2*t - t**2 + 4*t**2 - 3*t**3 - t**2).\nAnswer: 9*t**3 - 6*t**2 + 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 5*b + 490. Calculate q(-20).\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 f when two letters picked without replacement from {f: 2, n: 2, k: 3, z: 2, x: 2, e: 4}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 648 = 165. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9559 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9905)\/849)\/((-10)\/36). Solve 57*g - m*g = -105 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(2\/2 - 0). Suppose -h = -6*h + 4*o - 17, 2*h - z = -o. Let y = h + 17. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -3 (b) -1\/7 (c) 0.3 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f + 3045 + 1235 = 0. Put f, 1, -2, 0 in decreasing order.\nAnswer: f, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83.0001 - -83. Round y to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4881 rounded to the nearest 100?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35*h**2*n**2 + 2*h*n**2 - 6*n**2 + 3 wrt h.\nAnswer: -70*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2152094?\nAnswer: 2, 7, 347, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 22*(-15)\/80.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in three eighths of a week?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241 - 38*q - 7*q + 475 - 234.\nAnswer: -45*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h - 11*h - h)*(0 + 1 - 3 - 1 + 2 - 4 + (3 - 2 - 3)*(-2 + 0 + 3))*(-4 + 5 + 1) to m*h + r and give m.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is a321 (base 16) in base 9?\nAnswer: 63251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.26 from 3761.\nAnswer: 3761.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3027 is divided by 269.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b18 (base 14) to base 2.\nAnswer: -100010000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 144880\/711 + -1834\/9. Suppose -152*w - 35*w = 227*w + 414. Which is smaller: w or n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**4 - i**2 + i**2 + ((0*i + 3*i - i)*(0 + 0 - i**2) + 0*i**3 - i**3 + 0*i**3)*(121 - 121 + 6*i).\nAnswer: -19*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1821790\/9? (a) -2\/5 (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26225369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37\/116 + 2\/29. Suppose -5*c - 20 = 3*i, c + 22 = 4*c - 5*i. Is c < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009316 rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one quarter of a week?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 390*r**2 + 2*r - 2. Let o be l(1). Let n be o\/20 - 2\/4. Solve -3*m = -4*k - n, -k + 5*m - 25 - 1 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1144580079?\nAnswer: 3, 381526693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 32\/80 - (-18)\/5. Suppose 4*i - 7 = 3*c, 24 = q*c + 5*i - 8. Solve -c*v - 2*d + 8 = 0, -5*d + 6 = -v + 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(1 - 1\/(-2)). Suppose -x - k*x = 24. What are the prime factors of 4 - (4 - 2) - x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*y - 2802*y + 16021*y + 13021*y.\nAnswer: 26332*y","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-14)*n)**30)**48 assuming n is positive.\nAnswer: n**23040","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/1)\/(1\/342). Let o be 4\/(-7) - (-4050)\/105. Calculate the highest common factor of o and n.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*k + 144*k - 1056 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 5:03 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.031 * -4.\nAnswer: -0.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*y + 8*y. Which is bigger: y or -7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (4 - 11 - 2 - -7) + -13.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 + 66. Solve 4 + c = 5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1971 and 30441?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 r, and 1 p when four letters picked without replacement from {b: 3, r: 5, p: 3, f: 9}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -111b49 (base 12) to base 6\nAnswer: -5503333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**2 - 72*s - 49. Let o be g(25). Let h = 2 - -11. Calculate the greatest common divisor of o and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 498192 divided by 214\nAnswer: 2328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1908100 rounded to the nearest one hundred thousand?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -240.1 - -243. Let y = -3.4 + q. Put -9, 4, y in ascending order.\nAnswer: -9, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8885 is divided by 234.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.099 + -141.901. Let f = 138 + z. Let d be 1 + -3 - 24\/(-13). Which is the nearest to d? (a) -0.5 (b) -1\/7 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 344733?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**6\/9 + 8*j**5\/15 + j**4 + 8*j**3\/9 + j**2\/3 - 8. Let f(l) = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 36839\/(-105) - (-17)\/(595\/(-10)). Let j = v - -351. Is j smaller than -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n - 45. Let y be q(11). Sort y, 5, 2, -12.\nAnswer: -12, y, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 - f**2 + 0*f + f**3 - 2*f**3 + 2*f. Let p be j(2). Solve p*k = -2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36 - 54*n**2 + 16 + 20 as k + z*n + y*n**2 and give y.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78 + -92. Let f = 14.00098 + z. What is f rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 1. Let b(r) = 4*r**2 + r + 13. Let v(l) = -b(l) + 5*s(l). Suppose i = -4*d - d - 25, -i - 4*d - 20 = 0. Calculate v(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -7*k - 11 + 0*k**2 - 13\/16*k**3 - 1\/32*k**4. Factor i(m).\nAnswer: -3*m*(m + 13)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 181, 707, 1581, 2803, 4373, 6291, 8557?\n\"Answer: 174*i**2 + 4*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a century in decades?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10537*p = -10531*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 4, l: 5, b: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 34*r + 6. Determine a(-5).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.58 + -3.58. Which is the closest to -2\/3? (a) 0.5 (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 1:24 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(228)\/(sqrt(48)\/sqrt(4)) + (-3 + sqrt(19) + 1)**2 - ((sqrt(171) - -1*sqrt(171))\/sqrt(9) - (-2 + sqrt(76))**2).\nAnswer: -12*sqrt(19) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((2 - (-2 - 7)) + -9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12.9 in -1\/3, 0.1, -0.02, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**6\/120 + 3*u**5\/20 + 13*u**4\/24 - u**3\/3 + u**2 - 95. What is v(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5088811.\nAnswer: 7, 13, 55921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -132*q - 786. What is v(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 398.9, -49, 14, -3 in increasing order.\nAnswer: -49, -3, 14, 398.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - b = b + 2, 4*h = -3*b - 4. Suppose 0 = h*r + 8 - 10. Let z = 1 - 0. What is the remainder when r is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**3 - 20*d**2 - 24*d + 103. What is b(-6)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**6\/15 + 13*j**5\/60 + 34*j**2. Find the third derivative of a(b) wrt b.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3 = -4*q + 148, 2*k = 4*q + 74. Let r = 65 - k. What is the highest common factor of 60 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, s: 1, c: 4, f: 3}. What is prob of picking 4 c?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 867467712?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 74?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -3 - 1) + 8. Let d be 9\/o + (3 - 4). Which is the nearest to d? (a) -2\/13 (b) -0.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - h + 507, -5*s + 3*h + h = -828. Is s a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 10*n**2 + 3*n - 1. Let h be s(-3). Suppose 1104*v + 32 = 561*v + 551*v. Suppose -h = -v*d + 16. What is the greatest common factor of 12 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11950 divided by 1.\nAnswer: -11950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 * -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -490 + 1171. List the prime factors of -3 - (-2)\/((-2718)\/o - -4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -475 - 2?\nAnswer: -477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27475755 is divided by 205?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -194 - -206.72. Let n = g + -13. Let m = n - -0.41. Round m to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 10 = 8. Let u(g) = -3 - g + 0 + 10*g. Is u(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*n - 35 = 0. Let a(k) = -264*k - 592*k - 60*k + 12. Let p be a(n). Round p to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.13 plus -10827?\nAnswer: -10789.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -44 + 114. Suppose o*n = 10*n. Let r be n\/(-5) - (3 + 1). Are -3 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -9*t + 4*t - 66, 3*t = -r + 8. Suppose r = 4*g - 3. Let c be ((-26)\/4)\/((-6)\/4). Is g <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 71 or 2224?\nAnswer: 2224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 7*i + 3. Let w be n(5). Let s = w - -17. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -543 divided by -2.\nAnswer: 543\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (1 + -2) - -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g. Let j be c(-4). Suppose 0 = -j*l + 4356 + 8616. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*q = -3*q + 4, 5*c + 20 = 5*q. Let d be c\/((-21)\/9 - -3). What is the units digit of 0 - (3\/1)\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.7 + 1.8. Is g greater than or equal to -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3582266846?\nAnswer: 2, 61, 313, 93811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7920) + (1*sqrt(7920) - sqrt(7920)))\/(sqrt(15)\/(sqrt(3)*-1)).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 47. Suppose 5*z - z = b. Differentiate 4*s + 5*s - 2*s + z + 2*s wrt s.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -12 (c) 4 (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(1\/34*((-2604)\/(-14))\/(-31))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32562?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(5\/2)\/c**5)\/((c**6\/c)\/c**(-4\/7)))\/((c**(2\/13)*c\/(c\/(c*c**(-3)*c)))\/((c*(c*c\/((c*c*c\/c**(-1))\/c)*c*c)\/c)\/(c*c**(-3)))) assuming c is positive.\nAnswer: c**(-769\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*i + 9 - 9 + (1 - 2*i - 1)*(-3 + 2 + 2) - 9*i - 2*i - i - i - i + 0*i)*(-1 + 4 + 0 + 2*i**2 + (3*i + 0*i + 0*i)*(-4 + 4 + i)).\nAnswer: -125*i**3 - 75*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1397, 2793, 4189, 5585?\n\"Answer: 1396*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 68 (b) -0.4 (c) -3\/4 (d) 2\/9 (e) 0.05 (f) 1\/74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3726 - 3686. What is the lowest common multiple of m and 104?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -2\/67509, -1\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*c + c = -8, 0 = 4*c - 4. Suppose -2*x = 12 - 2, j + 4*x - 65 = 0. Let r = -79 + j. Put r, i, 5 in decreasing order.\nAnswer: r, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-10)*(-5)\/1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + r = -0 + 3, -4*w = 2*r. What is the fourth biggest value in -0.5, w, 4\/3, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 12, y: 3}?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*g + 80. What is the common denominator of 61\/14 and ((-4)\/g)\/((-5)\/(-27))?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 times 2279029\nAnswer: 54696696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 42*j**2 - 15*j + 11. Is r(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 23*z + 49. Let s(n) = 3*n**2 + 44*n - 28. Let i be s(-15). Is c(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, v: 1, l: 1, o: 1, z: 2, q: 1}. What is prob of picking 1 o and 1 z?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-28)\/7)\/((-1)\/(-2)). Let b be d\/(-2)*(-4)\/8. Let x = -96\/265 + -2\/53. What is the third biggest value in x, 4\/3, 0.2, b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -123*h**3. What is t(-1)?\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3090 - -4373. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 254 - 3\/2*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3957 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-9) - (-128)\/(-6). Let o be 24\/11 + 4\/l. Let z(g) = 2*g - 5 + g**3 - 48*g**o + 44*g**2 - 5*g. Determine z(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 75207 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-88)\/(-20) - (2\/(-2) + 5). Let b be (-1)\/3 - (-17)\/15. Factor 0 + 2\/5*i**3 + d*i + b*i**2.\nAnswer: 2*i*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9560 <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -155*d**3 + 23*d. Let n(x) = -51*x**3 + 8*x. Calculate 17*n(y) - 6*q(y).\nAnswer: 63*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.7 - -1. Let t = i + -0.3. Let l = 13621 - 13623. Which is the nearest to t? (a) -1 (b) l (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 26, 3, -23 in increasing order.\nAnswer: -23, -2, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (24\/(-9))\/(16\/24). Let o(s) = s**3 + 8*s**2 - 3*s. Let z(m) = 4*m**3 + 24*m**2 - 7*m. Let u(y) = c*z(y) + 14*o(y). Let u(p) = 0. What is p?\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.7 (b) -0.27 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 77862049633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c + 6*c - 3*c + (2 - 4 + 0 - 2*c)*(-1 + 0 - 2) - 2 + 2 + c.\nAnswer: 10*c + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-7))\/(-4) + (-30)\/(-189).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 483*x**3 - 176*x**3.\nAnswer: -659*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192 bigger than 120118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 9:27 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 0 - 95. Let x be (-2)\/((-4)\/10)*1. Suppose -49 + 164 = x*o. Solve -o = -f + 5*w, 2*w - y = 2*f + 5*w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p**2. Let s(i) = 67443*i**2 - 6*i - 7. What is s(m(g))?\nAnswer: 2427948*g**4 - 36*g**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218 a factor of 28334939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1146848 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6001273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/4110 and -87\/5480.\nAnswer: 16440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*v - 2*v. Let l be (3\/12*-2)\/1*v. Which is the third biggest value? (a) 7 (b) -5 (c) -0.4 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -9*i**3 - 4*i**2 + 2*i - 2. Let y(x) = -10*x**3 - 5*x**2 + 2*x - 3. Give 5*o(b) - 4*y(b).\nAnswer: -5*b**3 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**5\/75 - h**4\/40 - 7*h**2\/2 + h. Let d(m) be the first derivative of y(m). Factor d(v).\nAnswer: v*(4*v - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 12:15 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 10*m**3 + m**2 + 6. Let o be u(3). Suppose -5*q + 0*q = -o. List the prime factors of q.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*v**2 + 12*v**2 + v - 221*v**3 + 102*v**3 to the form r*v**2 + d + p*v**3 + c*v and give p.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 + -67. Suppose -i*p - 3*n + 568 = -689, 5*p = -4*n + 2094. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 26354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247789360.\nAnswer: 2, 5, 7, 13, 101, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -956341*h**3*r - 3*h**3 + 28481*r wrt h.\nAnswer: -2869023*h**2*r - 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -2*t**7\/35 - 13*t**5\/60 + 4*t**2 - t. Let x(i) be the first derivative of m(i). What is the third derivative of x(l) wrt l?\nAnswer: -288*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/36 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3929479*p - 657529.\nAnswer: 3929479","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 199566014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -862 divided by 3?\nAnswer: -862\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 51*q + 54. Suppose 7*z - 8 = 5*z, -3*v + 9 = 3*z. Determine r(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 221*m**2 + 14*m + 491. What is the hundreds digit of k(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*w**2 - 94*w**2 + 199*w**2.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12367 = 10*g - 64897. Does 31 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 3025579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 2:46 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 6:46 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g + 8*g**2 - 11*g**3 + 80 + 2*g - 80 - 11*g**3 to the form y*g**2 + s + q*g + d*g**3 and give d.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 12*s**2 + 9*s. Let p(m) = -11*m**2 - 10*m - 1. Let y(w) = -2*a(w) - 3*p(w). Does 8 divide y(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t. Let j(s) = -26022*s. Give o(j(d)).\nAnswer: 104088*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 8715 = -7616. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4397745 and 363.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*c + 143. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 24*q**2 + 50*q - 952. Let o be g(24). What is the greatest common divisor of o and 4309?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - a - 5 = -1, 2*b - 16 = -2*a. Let d(s) = s**2 + 6*s + 3. Let r be d(-6). Suppose -660000 = r*z - b*z. Round z to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69 + 108 - o + o + 150 - o - 50.\nAnswer: -o + 139","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 5:41 PM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -2. Let t be -2 - (o + -12) - 1. Solve -20 + t = 4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 95 = 19. What is the third smallest value in -4, c, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178024643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 - 141 = 42*j + 500 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 532230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -a - 0*a - 119, 0 = -4*a - 16. Let u be i\/5 + (-6)\/(-15). Suppose -w = 2*w + 3, -2*k + u*w = -155. Is k a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + (2*sqrt(70))\/sqrt(10))*1*3)**2.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -1304650.\nAnswer: -1\/1304650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-3\/17))\/f)\/f*f**(13\/4)*((f\/(f\/(f\/f**3)))\/f)**(-6\/7) assuming f is positive.\nAnswer: f**(2211\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of f**8\/3920 + f**7\/980 - f**6\/840 - f**5\/140 - 22*f**3\/3 - 22. Let o(a) be the third derivative of t(a). Factor o(i).\nAnswer: 3*i*(i - 1)*(i + 1)*(i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1875264, -1875181, -1875100, -1875021, -1874944?\n\"Answer: -b**2 + 86*b - 1875349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 4*x + 2. Let z be l(4). Let p be 0 + 1 + -4 + 6. Solve -3*j = -z*v - j - 8, p*j = -5*v + 20 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/((-434)\/(-284) - (-3)\/(-2)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 22 - 3) + 19\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 318.5926 years in decades?\nAnswer: 31.85926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 4*o + 1. Let d be b(-4). Let i be 3 - (1 - 85) - -1*d. Suppose s = -4, 4*j = -2*s + 64 + i. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4416903, -4416911, -4416919, -4416927, -4416935, -4416943?\nAnswer: -4416951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 3:45 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h + 9. Let p be f(-3). What is the tens digit of 8\/p + 616\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (8 - (-8)\/(-8)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-487) - -3*(-1)\/(-3)*43.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 1141a9?\nAnswer: 1141a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -162 - -49?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 + -a3?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 8. Let j = 0.31 + -0.01. Let m be (-10)\/(-20)*(-2)\/7. Which is the nearest to 1\/2? (a) m (b) q (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 2:56 AM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 69\/11, -23 in decreasing order.\nAnswer: 69\/11, 0, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2314 rounded to 2 decimal places?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 37*8*(-2)\/10. Let w = -24 - a. Let m = w - 35. What is the closest to -1 in 3, m, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(w\/(w**(-16)\/w*w*w)*w)*w))\/w)\/(w*w*w*w**(1\/52)*w))\/(w*w**(-1\/6)\/w*w\/(w**(-1\/6)*w*w)) assuming w is positive.\nAnswer: w**(623\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 10020?\nAnswer: -10014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-one quarters of a hour?\nAnswer: 18900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 i when four letters picked without replacement from {o: 2, d: 2, i: 3, a: 2, p: 2, j: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 492, 1225, 1958, 2691, 3424, 4157?\nAnswer: 4890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 144 = 5*j. Calculate the greatest common divisor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = 2*h - 200. Suppose -2*i = -n + 8903, -n - 3*n - h*i + 35592 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**(1\/2))**(-25)\/(c**(-2\/7)\/c**(-3\/4)))\/((c*c\/((c**(-5)*c)\/c))\/c**(1\/2)*(c**(-2\/5)\/c)**(-4\/7)) assuming c is positive.\nAnswer: c**(-6337\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**6\/120 + c**5\/20 - c**4\/24 + c**3\/6 - 12*c**2. What are the prime factors of r(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/140*-8)\/((-6)\/(-25))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r. Let q(l) = -533311*l. What is t(q(w))?\nAnswer: 1066622*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2 + 6*d - 12. Let t be j(10). Let m = t + 132. Let a be 3 - (-448)\/20 - (-8)\/m. Solve 0 = 2*x - 5*k + 8 + a, -2*k - 6 = 4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 9*n + 119. Calculate the remainder when f(-12) is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/13495 and 5\/11?\nAnswer: 148445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/(-1))\/17*-15?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-72)\/(-15))\/(-12) - 80\/50. Which is the closest to -4? (a) s (b) -1\/4 (c) 532\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346 is divided by 117?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*t = 9 + 76, 90 = 5*c - 3*t. Suppose c = 58*m - 55*m. Let n(x) = x**3 - 6*x**2 - x + 7. Let j be n(6). Which is greater: j or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/273 and -74\/21.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4308, -4312, -4318, -4326, -4336?\nAnswer: -4348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11798 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16835970, 16835972, 16835974, 16835976?\nAnswer: 16835978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prpprplr. Give prob of sequence rl.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by 5?\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 585*h + 664*h - 239*h - 19190 = 0 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -0.3, 233?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.14 - 0.04. Let o(n) = 10*n**2 + 0*n**3 - 5*n**3 + 12*n + 4*n**3 - 13. Let y be o(11). Which is the nearest to z? (a) -0.5 (b) y (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -965 + 50*d**2 + 24*d - 24*d.\nAnswer: 50*d**2 - 965","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -0.4 (c) -0.107\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**3 + 23*l**2*m**2 - l**2*m + 372*l**2 - 1117*l*m**2 - 3*l*m + 5 wrt l.\nAnswer: 12*l + 46*m**2 - 2*m + 744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -3*h**4\/16 - 41*h**3\/2 - 1197*h**2\/2 + 2646*h - 1364. Suppose a(q) = 0. What is q?\nAnswer: -42, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 1:45 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 21, 64, 119, 174, 217?\n\"Answer: -2*y**3 + 18*y**2 + 3*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**5 - 168*v**4 + 634194*v**3 + 179525160*v**2 + 14329467081*v + 67238576280 = 0. Calculate v.\nAnswer: -201, -5, 552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 11*i - 57 + 28 = 4*i - 50, -2*p + 13*i = 27 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*d**3 - 104427*d**2 + 1370910*d - 2 wrt d.\nAnswer: -78*d - 208854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -4. Let w(b) = -3*b**2 - z + 4 + 3 + b**3. Let a be w(3). Solve a*l - l = -2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -83, 0.5, -2\/17?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/18)\/((-1)\/18). Suppose -3*y - 84 = -c*y. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 347255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 436, 433, 434, 439?\nAnswer: 448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68863989?\nAnswer: 3, 31, 740473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 24478 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 21797 and -1920143745.2.\nAnswer: -1920121948.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (0 - (1 + -6 + (43 - 38))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19589 is divided by 9717.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2862237 and 336.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16444040 and -1.\nAnswer: 16444040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + 361)*(-8)\/(-3). Suppose -o = -3*v + v. Let b = 682 - v. Calculate the highest common factor of b and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 16. Which is the third smallest value? (a) j (b) -0.3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3793.899s to microseconds.\nAnswer: 3793899000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6 - 14*g**2 - g - 5*g**3 + 5 + 7*g**3. Let f be r(7). Solve -15 = -f*a - a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4361?\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-7)*u)\/(u**4\/u)*(u*u**(-1)\/u)**2)**25 assuming u is positive.\nAnswer: u**(-250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 121497.\nAnswer: 850479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -129275 greater than or equal to -129598?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (28\/(-6) + (-19610)\/(-2226)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 394322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 403131 a multiple of 249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 5. What is the remainder when 23 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 23\/(-2)*(-5 + 3). Suppose -z - 5*q = k, 0*q + 17 = z - 3*q. Let w be (-11 - (-15 + 5))*3. Sort w, z, 4 in decreasing order.\nAnswer: 4, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 233*y - 240*y - 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -s**4 - s**4 + 8 - 11 wrt s?\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -44 (c) 10\/11 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/38 + (688\/946 - (-44046)\/(-52668))?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-7))\/(s*s**(-2\/9)*s)*s**(-2\/27)\/s*(s*s\/(s*s\/s**(-2\/23))*s*s*s*s*s*s)\/s)\/(s**(-1\/17)*s**1*s)**(-3\/11) assuming s is positive.\nAnswer: s**(-25436\/10557)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 10:24 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*o - 291. Let f = -53 - o. Does 15 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -669, -1680, -3389, -6156, -10341?\n\"Answer: -60*s**3 + 11*s**2 - 624*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1414 + 368*c**2 + 2836 - 1422 + 3*c - 138*c**2)*(-2*c**3 - 4 + 4).\nAnswer: -460*c**5 - 6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -3 and 286054375 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(-y - 2 + 2)*(1750*y**2 - 852*y**2 - 857*y**2).\nAnswer: -41*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (-2 - -2 - 3). Let x be 0 + (-15)\/17 + w. Put -2\/9, 3\/2, x in descending order.\nAnswer: 3\/2, x, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 2*l**2 - 6*l**2 + 2*l**2. Let r(j) be the second derivative of j**4\/4 + j. What is o(r(f))?\nAnswer: -9*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 9291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 1193018.\nAnswer: 1\/1193018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*a**4 + 1008998*a**2 + 165381677.\nAnswer: 28*a**3 + 2017996*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7083088.\nAnswer: 2, 47, 9419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/20 and 4\/30 + 193503\/248040.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/16)\/(2\/4). Let z = -139\/819 - -1\/63. Which is smaller: z or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 12*h + 44*h)*(13*h**2 + h**2 - 3*h**2).\nAnswer: 352*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 1:40 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 35*k + 27. Let l be g(18). Let n(b) = -l*b + 5 - 7 + 331*b. Let q(d) = 1 - 6*d + 0 - 7. Calculate 7*n(z) - 2*q(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -183, -333, -483?\n\"Answer: -150*u - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 26.32 * -0.1277\nAnswer: -3.361064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -0 + 6. Find the third derivative of c*d**6 + 4 - 3 + 3*d**2 - 1 wrt d.\nAnswer: 360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4936127?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from kwwwwwkk.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 289 and 3179.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u - 7. Let w be (1\/(-2))\/(2\/(-20)). Suppose w*x = 10 + 100. What is the remainder when x is divided by h(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -39*j + 48. What is u(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*a**4 + 100*a**4 + 70*a**4 + (-6*a**3 - 14*a**3 - 10*a**3)*(2*a + 0*a - a).\nAnswer: 155*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.31 + -9.61. Let b = 0.01 - -4.99. What is the closest to -0.3 in k, 4, b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -52482 and -4287.\nAnswer: 224990334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t + 7 - t**2 - 64398*t**3 + 3*t + 64396*t**3 to w + d*t**2 + s*t**3 + l*t and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 448253 and 3198?\nAnswer: 2689518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r - r + 4*r + (0 + 0 + 2)*(2 - 2 - r) + 1 - 1 - 3*r - 2*r + 4*r + 0*r)*(0 + 1 + 2).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 11:13 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 942133, 1884266, 2826399, 3768532, 4710665, 5652798?\nAnswer: 6594931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3193*b**4 - 3725*b**3 + 1414*b**2 - 3109*b wrt b?\nAnswer: -76632*b - 22350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/60 and -97\/588?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 686 and -66268639?\nAnswer: 66269325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2297.006 centuries?\nAnswer: 229.7006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -31206772 to the nearest one thousand.\nAnswer: -31207000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8102 + 8100. Put 0.01, 2, m, 23, -0.2 in descending order.\nAnswer: 23, 2, 0.01, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -9) + 5 + (12 - 29) + -33 + 0\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u - 2*u**2 + u**3 + 5*u - 42*u**2 + 0*u to s + c*u**2 + x*u**3 + n*u and give c.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -7*c**2 + 4*c**2 + 0*c**2. Let o(m) = 9*m**2 - 15*m**2 - 33*m - 18*m**2. Let v(t) = 3*t**2 + 4*t. Let p(h) = -4*o(h) - 33*v(h). What is j(p(q))?\nAnswer: -27*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*(-4)\/16 - -14. Suppose -5*w = -c - 0. Solve w*z + s = -8 - 2, 2*z = 2*s - 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26c37 (base 13) in base 6?\nAnswer: -1315030","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 42879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.5 + -1344623591985.\nAnswer: -1344623591982.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 90 = -2*u, -5*w + 66 = 2*u - 24. Suppose w*k = 23*k - 126. Calculate the highest common divisor of 70 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5096\/111757 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -25. Suppose 6*k + 10 - 34 = r. Suppose -k*q + m = -258, -5*m + 4 = -6. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-138)\/(-322))\/((-30)\/14 + 1)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7020?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b**2 + 65*b**2 + b**2 - 7*b**2.\nAnswer: 68*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**2\/5 + 8912*f - 44558\/5 = 0.\nAnswer: 1, 22279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 831834929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*q - 102 = 3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1) + -3 + -1 + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -212120200212220?\nAnswer: 212120200220000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 34*g - 335. Let q be h(10). Suppose -q*f - 5*c + 7500 = 0, -57*c = -53*c + 12. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13791*x**2 - 193072*x + 28.\nAnswer: -(x + 14)*(13791*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 229*q + 83*q + 131*q + 136*q - 90*q + (q + 3*q - 5*q)*(-4 + 1 + 1) + q + 3*q - 5*q to the form p*q + r and give p.\nAnswer: 490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1784774 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/3 and -13\/201233420.\nAnswer: 603700260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 693211872.\nAnswer: 3466059360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -32853150 divided by 90\nAnswer: -365035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 - 3*n**2 + n**2)*(63 - 93*n - 63) - 8*n**3 + 23*n**2 - 23*n**2 + (0*n**2 + 5*n**2 - 3*n**2)*(2*n + n - 4*n).\nAnswer: -103*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1166415673.\nAnswer: 1019, 1144667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13324106 divided by -38398?\nAnswer: -347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 3. Suppose 166*z + 14 = 173*z. Solve 0 = q*d - z - 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28348, 113400, 255154, 453610, 708768?\nAnswer: 1020628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 2. Put v, 3, -2 in ascending order.\nAnswer: -2, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94544602727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of h**5\/60 - h**4\/12 - h**3\/6 + 3*h. Let c(a) be the second derivative of g(a). Calculate c(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/4079490 and 74\/279123?\nAnswer: 53033370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-102)\/(-12) - 8)*290 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -162.9 + 163. Let u = 222\/113 + -21763\/7684. Let h = 2\/17 + u. Which is the nearest to 2\/5? (a) -0.2 (b) m (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 136 + 389. Suppose 0 = -t + 344 + x. List the prime factors of t.\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.08 (b) -3 (c) -0.9 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -89876682*p - 14655856.\nAnswer: -89876682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 + -32 + 50 - (0 + 8)) + 7 - -62?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 16, -690\/197 in increasing order.\nAnswer: -690\/197, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 10:19 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -12.0000003. Round f to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -47*k - 7*k**3 + 47*k + (-3*k**2 - 3*k**2 + 4*k**2)*(0*k + 3*k + 0*k).\nAnswer: -13*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14663 (base 10) to base 8.\nAnswer: -34507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1391906*z**3 - 9489209*z.\nAnswer: -8351436*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11414 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of 5*u**8\/112 + 7*u**5\/30 + 15*u**2. What is the third derivative of w(j) wrt j?\nAnswer: 900*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24430 divided by 5\nAnswer: 4886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.354 + -12.646. What is the third smallest value in -3, n, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = y + 14, 5*x = 2*x + 5*y - 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 11*b**2 - 12*b - 7. Let g(h) = 2*h**2 - 2*h - 1. Let c(o) = -6*g(o) + q(o). Let r(p) = -2*p**2 - 2*p. Give -c(l) - r(l).\nAnswer: 3*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**1))**(-14\/5))**(-12) assuming y is positive.\nAnswer: y**(168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7336790*u + 13462001.\nAnswer: 7336790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 18. Let m = p - 4. Solve -2*w - m*w = 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1863858, 3727716, 5591574?\n\"Answer: 1863858*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277766?\nAnswer: 2, 138883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18.3 - 3.3. Let l = y - 15.3. Which is the closest to -0.1? (a) 5 (b) l (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 6*y = -50, -46*m - 31*m + 77*m + 4*y + 20 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**7\/840 + f**6\/120 + f**5\/30 + f**4\/8 - 7*f**3 + 42*f**2. Let s(c) be the first derivative of r(c). What is s(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**4\/24 - n**3 + 2*n**2. Give j(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-10) + (-4 - 19881\/(-45)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*v = -673. Suppose 0 = -3*s - 3*q + 990, 0 = -5*s - 3*q + v + 979. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 218159 - 123041585\/564. What is the common denominator of 5\/12 and c?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t*(t*t\/(t**(-1)*t))\/t*t)**(26\/7))**(15\/7)*(t**1)**(-15)*t**(-1)*t*t**0*t assuming t is positive.\nAnswer: t**(1264\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7490 and 620.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 12625*l - 37884. Give o(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2512)\/4396 - (3576\/18*(-2)\/(-728))\/(-1)?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2*x + 9 - 9)*(4 + 1 - 6)*(655 + 947 - 543) to h + u*x and give u.\nAnswer: 2118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**5 - 33*n**4 + 1174*n**3 - 561*n**2 - 578*n = 0.\nAnswer: -34, -1\/2, 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2454252946?\nAnswer: 2, 1227126473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 706 and 22.\nAnswer: 7766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1184 is divided by 47?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 530 + -529. What is the fourth smallest value in -3, -2\/15, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + 21. Suppose -3*p + u = -0*z - 5*z, 3*p + 4*z - 36 = 0. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uufud. Give prob of picking 1 f, 1 d, and 2 u.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g = 18*g + 1258. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34309 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 93\/13?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7536 - -7548. Solve 46*m + r = 42*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 10*v - 20. Determine j(-7).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -4*j - 93. What are the prime factors of j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(1008) - (-5 + -1 + sqrt(1008))) - (1 + (sqrt(1008) + 0 + sqrt(1008) - sqrt(1008) - sqrt(1008)) + -2)) + 4)**2*1.\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8098254s to hours.\nAnswer: 0.0002249515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w + 3. Let v(z) = -21*z - 3 + 12 - 2 + 9. Let j(k) = -42*k + 32. Let m(p) = 6*j(p) - 11*v(p). Calculate 2*m(d) - 11*y(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -7. Suppose 0 = -2*g - 4*t + 10, -5*g + y*t - t = 19. Let a = g + 7. Solve -4*r - a*l = -28, r - l = 5*r - 22 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 i when four letters picked without replacement from {l: 9, i: 7}?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 3\/16, 83, -5, -2\/17, -14?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3986 less than -4123859?\nAnswer: -4127845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-4263)\/(-196))\/((-24)\/(-32))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3.3, 155, 3\/4, -6, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 147303764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 219309887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 + 1285*r + 2590.\nAnswer: -5*(r - 259)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 232311?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 8:06 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 5:53 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*sqrt(75).\nAnswer: 1 + 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j. Suppose 5*n + g + 3 = 14, -3*n - 3 = 3*g. Let p(l) = 5*l + 2*l - n*l - 3*l. What is p(c(t))?\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-2)\/126))\/(((-64)\/(-752))\/(137\/6439)).\nAnswer: -63\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4529 divided by -5?\nAnswer: 4529\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 4*z - 2. Let j(v) = -v**2 - 5*v. Let y be j(-6). Does 6 divide s(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 4*u + 2. Let f be (620\/68 - 8) + u + -2. Suppose -2*k - 5 = -3*c, -2 = c - 2*k - 9. Which is bigger: c or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 7. Let y(a) = 17*a - 1. Let c be y(l). Solve 2*g + 8 + c = 4*o, 3*o = g + 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4) - 85\/(-10). Suppose -5*z + 4*s + 10 = 0, -3*z = -0*z - 3*s - m. What is the least common multiple of 9 and (1 + (-2)\/6)\/(z\/(-21))?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k. Let g(c) = -12*c + 13. What is s(g(l))?\nAnswer: -12*l + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 172 + -132. Suppose -p = -2*c - 1 + o, 66 = 4*c + 2*p. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 p when two letters picked without replacement from {p: 1, g: 1, n: 2, o: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5100 * 20.2\nAnswer: -103020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15358.35948057 and 5.\nAnswer: 15363.35948057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -10*h - 7 - 247*h**2 + 123*h**2 + 123*h**2. Let l = -22 - -13. What is p(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8 - 4\/(-4))\/(-1). Is 23 a factor of 10\/(-15) + (-789)\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 12:24 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2220 (base 3) to base 14.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -78*h + 2303. Determine c(30).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 1:19 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6312 and 148332?\nAnswer: 296664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -166 - -12?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gqqq when four letters picked without replacement from qqqgqqqqqqqqqqqqqq.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -121, -224, -357, -520, -713?\nAnswer: -936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 + 0. Let p = -81 - 27. Let x = 107.5 + p. What is the biggest value in x, 0, w, -4\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4 + 339*a**3 + 990*a**2 - 12*a - 1320.\nAnswer: 3*(a - 1)*(a + 2)**2*(a + 110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.6, -184425, 7?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-330)\/7)\/(1797\/(-8386)). Solve 212*v + 8 = j*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, 18, -7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -119 + 1089. Suppose b*k = 192*k + 314. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.088864 months to millennia.\nAnswer: 0.000174072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14976 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24265615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 + 61. Suppose 6*m = m + 30. Solve -y = -m*f + f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-62)\/(-10) + (-2)\/10. Let w = t + -5. Suppose 2*a - 5 + w = 0. Solve -4 = -2*l - a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 12, 204*i = 3*h + 207*i + 30 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 179 - 174 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 407839 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.1 (b) -1 (c) -651 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 383 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 10 + 2. Let l = g - 5. What is the greatest common factor of l and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414645009 = -5*q + 3*t, -2*q - 3*t + 39924868 = -125933123. Suppose -q = 25*z + 8*z. Round z to the nearest 100000.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.2, 1, 4.69 in descending order.\nAnswer: 4.69, 1, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 423214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**11\/o*o)**(-26\/9)\/(o**(3\/10))**(1\/49))**23 assuming o is positive.\nAnswer: o**(-1172287\/1470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1531, -1, 9, -2, 0, 1 in descending order.\nAnswer: 9, 1, 0, -1, -2, -1531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + h + 3. Let m be 2\/6*(-3 - -12). Let b be w(m). What is the greatest common divisor of 120 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 7*q**3 + 5*q**2. Let i(p) = -p**2 - 18. Let a be i(0). Let z = a - -6. Let c = -13 - z. Let w(h) = h**3 + h**2. Give c*x(f) + 6*w(f).\nAnswer: -f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 2997270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7992, -8434, -9180, -10230, -11584, -13242, -15204?\n\"Answer: -152*f**2 + 14*f - 7854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.077? (a) 6\/7 (b) -4 (c) 112\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21164*j**2*m - 8*j**2 - 347325*m wrt j.\nAnswer: -42328*j*m - 16*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -35*h**5\/6 + 107731*h**4\/3 + 1075821*h**3\/2 - 30855*h**2 = 0. Calculate h.\nAnswer: -15, 0, 2\/35, 6171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -5*f**2 + 10690340*f - 5714168465780 = 0.\nAnswer: 1069034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/9, 4, -0.5, 0.02?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 88252.60721625.\nAnswer: 88247.60721625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -621246092 take away -4?\nAnswer: -621246088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*g)*(-2 - 1 + 5)*(-2*g + 5*g + 3*g) + (g**2 + 3*g**2 - 3*g**2)*(2 - 3 + 2) + 0 - 2*g**2 + 0 to the form n + c*g + x*g**2 and give x.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37.11839*3.\nAnswer: 111.35517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 1394*3\/42. Let i = -103 + m. Is 1 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 47455 and 0.128.\nAnswer: 47455.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1829719*l**3 - 1829260*l**3 - 2*l + 4*l - 2*l.\nAnswer: 459*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -10454?\nAnswer: 10457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 + -37. Is 2\/21 at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13, 54, 123, 220, 345?\n\"Answer: 14*v**2 - v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 + -6)*1\/2. Suppose 3*j - 5 - 1 = h. Let c be j*320\/(-4)*-1. What is c rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -519 and 0.053.\nAnswer: -27.507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f + 7 + 3 - 13.\nAnswer: 8*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 170957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4557, -4688, -4819?\n\"Answer: -131*t - 4426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001924689 rounded to five dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1978682789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 1040 = -4*h - 2*b, h - 3*b - 260 = 0. What is the highest common factor of h and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rkcqqccokc. Give prob of picking 3 c and 1 q.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -54530 (base 7) in base 11?\nAnswer: -a283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -132, -269, -406, -543?\n\"Answer: -137*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 190*o**2 + 180*o**2 - 2921*o**2 + 188*o**2 + 2362*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12, 3, 0.1, 2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -24, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 4*y**2 - y + 24. Let d be s(5). Let n be d\/(-8) + (-162)\/792. Which is the nearest to -4? (a) n (b) 0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 413 and 118?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9868120 by -20.\nAnswer: -493406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uapiataatputat. Give prob of picking 1 u and 1 i.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of n**7\/12600 + n**6\/1800 - n**4\/12 + 2*n**2. Let w(k) be the second derivative of l(k). Factor w(o).\nAnswer: o*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, f: 2, q: 1, v: 2, g: 2, w: 1}. Give prob of sequence ug.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/9 of a week in minutes?\nAnswer: 21280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46 by 8.\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17876562 - 17876562 - 30*s**3 - 4*s**2.\nAnswer: -30*s**3 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3337034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -1\/9 (b) -1\/4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 13*m**2 + 5. Let u be i(-13). List the prime factors of 48\/(-120) + 1427\/u.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + m + 4*m. Sort 1\/80, m, 1\/4.\nAnswer: m, 1\/80, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2524*g - 1287*g - 1053*g - 873*g - 1090 with respect to g.\nAnswer: -689","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 5:04 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153987 is divided by 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -53077, -106179, -159351, -212629, -266049, -319647, -373459, -427521?\n\"Answer: -6*k**3 + k**2 - 53063*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177460789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -720\/7 - -103. Let c = 0.3 + -0.1. Is j less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 20*y - 9. Let v be b(-23). Let i = v + 96. Suppose 19*w - i*w - 22 = 0. Do 67\/3 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g. Let b(x) be the first derivative of x**2 + x + 8. Determine 2*b(o) - 7*l(o).\nAnswer: -3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.41? (a) -1 (b) 0.3 (c) -1201\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1041 and 166213?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/420*205 - 18?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00580793507 to 4 dps.\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2187 - 449*c - 448*c + 902*c - 2187.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1181476.\nAnswer: 2, 53, 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 5\/8, -2008, 5 in descending order.\nAnswer: 5, 5\/8, -2\/11, -2008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/4*48\/60.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 651403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2324?\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3218083403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-5))\/n**10*n**4*(((n*n**(-19\/2))\/n)\/n)\/n assuming n is positive.\nAnswer: n**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -186.5 (b) -0.0461 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*y = -109*y - 49059. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5161?\nAnswer: 13, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1096812043.\nAnswer: 67, 991, 16519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1111580901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 67245893881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2128, -4128, -6224, -8416?\nAnswer: -10704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 25 = -14. Let n = 35 + r. Let b = n + -11. What is the remainder when 19 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -4*p - 8, -15*y + 11*y - p - 18 = -9*y + p for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, m: 6}. Give prob of picking 2 m.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + a = 17, -3*s = a - 20 - 3. Let g(r) = 54*r - 304. Calculate the remainder when 79 is divided by g(s).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1831\/3 - 611. Put w, 1\/3, -0.2, 10\/9 in decreasing order.\nAnswer: 10\/9, 1\/3, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -1. Let w(m) = 3. Let q(k) = 17*l(k) + 6*w(k). Let a(b) = -5*b - 4. Let o(g) = -a(g) - 4*q(g). Let x(f) = -2*f**2. Determine x(o(j)).\nAnswer: -50*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 21 = 9. Suppose -3*t - 3*a = -51, -4*a + 44 - 12 = t. Suppose -2*j - j = t. Are f and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k + 2*k - 6*k + 665*k**2 + 2 - 663*k**2 + k**4 + 3*k**3 as i*k + x*k**2 + o + z*k**4 + q*k**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 2 + (-1)\/(-1). Let k = 40658 + -40657.6. Let w = -3 + 2.9. Which is the nearest to 2? (a) o (b) w (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 3*d + 4*d)*(-17 - 40 - 31)*(4 - 1 - 1).\nAnswer: -352*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-618678)\/(-648))\/(10\/(-8) - -1). Round y to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4 - s**3 + s - 27 + 9 + 5 + 5. Give w(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2555099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r - 1. Let t be y(-2). Let c(o) = -3*o + 13. Let p(q) = q - 7. Let u(l) = t*p(l) - 6*c(l). List the prime factors of u(3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31096 + -31095.99946409. Round d to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 217 divided by -217\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, u: 3, r: 5, q: 2}. What is prob of picking 1 r and 1 f?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -104929?\nAnswer: 8\/104929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(576\/(-100))*48\/(-60).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121035.\nAnswer: 3, 5, 8069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14326 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2.6+189.277\nAnswer: 191.877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -81603, -81612, -81623, -81636, -81651, -81668?\n\"Answer: -a**2 - 6*a - 81596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n + 8 + 26 = 0. Let r be 2\/6 - (-87)\/9. What is o in 5 - 13 - n*o**2 + o - o**3 + r = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/17)\/c)\/((c**(2\/19)\/c)\/c*c))**(7\/2)\/((c**(-1))**(-35))**(-25) assuming c is positive.\nAnswer: c**(282373\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 5.8 and 12.\nAnswer: 17.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153)*2*-4 - sqrt(153)) + 3*sqrt(153)*-1)\/(-1*(sqrt(324) - sqrt(324)*-3)*6).\nAnswer: sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 94 - 94. Let a = 16 + c. Is (-2345)\/(-4) + (-4)\/a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 10*d**2. Let v(q) = -108*q**2 + 2110*q. Calculate v(f(l)).\nAnswer: -10800*l**4 + 21100*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1870?\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*s + 9 + 16, -4*s + 4*w = -48. Let u be 6\/9*(4 + -9 + s). Suppose q + 2019 = 3*x - 2*q, 2*x + u*q = 1346. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84266 (base 10) to base 13\nAnswer: 2c480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2700 and 205206.\nAnswer: 92342700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 793, 1386, 1989, 2608, 3249, 3918, 4621, 5364?\nAnswer: 6153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70 - -62. Let z = 8.082 + u. Round z to 3 decimal places.\nAnswer: 0.082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4, 16, 48, 106, 196?\n\"Answer: i**3 + 4*i**2 - 7*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000159072634 rounded to six decimal places?\nAnswer: -0.000159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, -21, 2\/15 in ascending order.\nAnswer: -21, 0.06, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5100\/(-275) - -4 - -14.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9785, -37973, -84979, -150815, -235493, -339025, -461423, -602699?\nAnswer: -762865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*b + 4 = 0. Suppose 0 = -2*p - 0*p - b. What is the units digit of (3 + p)\/((-1)\/(-4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36942 - -443221\/12. What is the common denominator of b and 29\/2656?\nAnswer: 7968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 232\/52*(-871)\/(-134).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/234)\/(4\/168)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.1191128 + 114429.\nAnswer: 114431.1191128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*b - 69*b + 1079. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10058?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 71, 105, 155, 227?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-4))\/((-3)\/(-4)). Suppose 4 = b*d + 12. Let h(c) be the first derivative of c**2\/2 - 5*c - 4. Let q(u) = 1. Calculate d*q(x) - h(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**5 + 1 - 1 - 3*s**2 + s**5 + 3*s**2 + (-4*s**2 + 2*s**2 + 3*s**2)*(0*s**3 + 6*s**3 - 5*s**3) + 15*s**5 + 8*s**5 + 2*s**5.\nAnswer: 25*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -a11 (base 12) in base 5?\nAnswer: -21303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -147 - -290. Suppose -5*a + 32 = -y. Suppose -4*j + 34 = 5*z - a, -3*z - 2*j + 43 = 0. Calculate the remainder when z is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3883 - 7512 = 28*t - 4329 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29*v - 19*v - 8744358 + 8744470)*(4 - 3 - 2) to x*v + s and give x.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000200116 rounded to six decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 w when two letters picked without replacement from {w: 12, l: 1}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 8*t - 5 + 3 + 0. Calculate the remainder when u(6) is divided by 8\/3*(-1 + 7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -319*l**4 + 2*l**3 - 5*l + 7?\nAnswer: -3828*l**2 + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 368206939 to the power of 1\/2, to the nearest integer?\nAnswer: 19189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (1 + -1 - (-3 + 1)) - (48998 + -49057)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 2*f - 14, 3*a - 2 = 5*a + 4*f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5a + -1?\nAnswer: -5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 87, 1\/6, -0.1, -3 in increasing order.\nAnswer: -3, -0.1, 1\/6, 3\/7, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-8))\/(1\/(-4)). Let l be p\/(-4) + 1\/(-4). Suppose l*g + 10 = 5*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 0*t + 6*t + 2 + t - 10*t + t**2. Suppose w + 2*d + 18 = 3*w, -33 = -5*w + 2*d. What is f(w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/1050023 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -7*u**2 - 52*u - 76. Give h(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 12) to base 5.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*3*sqrt(405)*-3*2*-3.\nAnswer: 2916*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/79349376 and -137\/19837344?\nAnswer: 79349376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1146 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y - 26. Let m be n(-12). Let f be -3*(-4)\/3 - (m - -14). Solve 0 = 4*p - f for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 16*s**2 + 23*s + 122. What is the thousands digit of k(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-100)\/(-288) + ((-198)\/48 - -4). Put -2, a, -2\/51 in increasing order.\nAnswer: -2, -2\/51, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 1:07 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287482 is divided by 7002.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*g + 6 = 0, -10*o - g = -5*o - 5. Solve -4 = -4*x + o*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-4))\/(15\/400). Suppose -20 = -45*v + l*v. Solve -v*d + 3*d = -4*c - 10, -4*c - 4*d - 20 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -15407, 5, 3, -5 in increasing order.\nAnswer: -15407, -5, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*((-32)\/(448\/35))\/(55\/(-3476))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 2\/15, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(275)*-1 + -5)**2 + -5 + (-2*(-1 + sqrt(275)) - ((sqrt(275) - -2*sqrt(275)) + -2 + sqrt(275)))**2.\nAnswer: -190*sqrt(11) + 10207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136, -281, -428, -577, -728, -881, -1036?\nAnswer: -1193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 659*l - 2286. Let n be d(6). Calculate the highest common factor of n and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 911 + 945 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -13) + -3 - (-9 + 6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -5*q**2 - 80*q - 275 = 0.\nAnswer: -11, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 2867cb9?\nAnswer: 2867cba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 152, -3, -120, -4, 25 in decreasing order.\nAnswer: 152, 25, -3, -4, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 h when three letters picked without replacement from {e: 4, q: 6, h: 3, v: 6}?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((-5*sqrt(480))\/(sqrt(10) - (sqrt(10) + 2*sqrt(40))) + -4))**2*-2.\nAnswer: -1638 + 720*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -38 divided by 13991\nAnswer: -38\/13991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cf when two letters picked without replacement from ffcnffcfc.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 7*f**3\/3 - 12*f. Let r(t) = -13*t - 3. Let m(p) = -31*p - 7. Let g(s) = -3*m(s) + 7*r(s). Give g(c(n)).\nAnswer: 28*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45942115\/332 - -138380. Find the common denominator of p and 9\/3569.\nAnswer: 14276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8758440 is divided by 85867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j - 8. Let p(a) = -9*a - 16. Give 7*m(v) - 4*p(v).\nAnswer: v + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -g**6\/360 - g**5\/30 - g**4\/6 - 4*g**3\/9 - 7*g**2\/2 - 7. Let v(s) be the second derivative of u(s). Factor v(x).\nAnswer: -(x + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p - 13*p - 145260 = -13*p. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -739*y**2 + 247*y**2 + 242*y**2 + 248*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -2*a + 8*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-468)\/159174)\/(-4 + (-264)\/(-65)). Let z = 1738961\/478 + -3638. Let d = x + z. Is d bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 624810427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + -3 + 38 + 1. What is the units digit of x\/9 + 10\/45?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 10*a**2 - 21*a - 163. Calculate o(-9).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -113730000 to the nearest 1000000.\nAnswer: -114000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257634 is divided by 2602?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**4 - 3*c**3 + 10*c**2 = 0.\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6222744.\nAnswer: 2, 3, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 9*c - 5. Let q be z(-9). Let h be q*((-1 - 1) + 1). Sort -4, h, -5 in decreasing order.\nAnswer: h, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.2 (b) 46 (c) -2\/9 (d) -91 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 22*f**2 + 7*f - 64. Is 10 a factor of j(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a = 8*a + 3*a, 98*c + 3*a = 103*c - 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + sqrt(119)*1*6 - -2*sqrt(119)*-1)*4)\/(-4*-2*(sqrt(252) + sqrt(252) + sqrt(252)*-4)).\nAnswer: -5*sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*(0 + -6*sqrt(363)*3))**2.\nAnswer: 2940300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 54*p + 52*p = 8284, 4*d - 16566 = 3*p. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32958*o**2 + 11*o - 11*o + 65343*o**2 - 32382*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 3*g - 1. Let o be p(-2). Let b(d) = 10*d - o + 7*d - d. Let v be b(9). Calculate the highest common divisor of 15 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -285a6a + -18?\nAnswer: -285a83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.2, 8, 0, -2 in ascending order.\nAnswer: -2, 0, 0.2, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.17 (b) 1.3 (c) -3 (d) -69 (e) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -186?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 192, 388, 582, 774, 964?\n\"Answer: -c**2 + 199*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iici when four letters picked without replacement from ciicccccccicciccicc?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1232370 is divided by 286.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-40)\/(-15))\/((-2)\/(-36))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 368.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ieeefiviifeeee. Give prob of sequence ff.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -76*l**2*z - 32*l*z - l wrt l.\nAnswer: -152*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 23 = -152*d + 151*d, 3*d = 7*l - 89 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 5 (b) 0 (c) -3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -3, -6456, -245, 4 in ascending order.\nAnswer: -6456, -245, -5, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -14*i**3 + 14102*i**2 + 10219*i - 140116. Calculate h(1008).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 6*q + 21. What is the remainder when j(7) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 10}. Give prob of sequence aaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-244)\/116 + 2)*(63 + -41)\/(-22).\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010001110101 + -100101101000101?\nAnswer: -110111110111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001186759 to 7 dps.\nAnswer: -0.0001187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2083180610?\nAnswer: 2, 5, 7, 23, 184843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*h - 0*h - 1196, 5*f = -4*h + 3002. Let d = -351 + f. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 4687585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(7\/(-42) + (1 - 4\/3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209665223 is divided by 7351.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 296292, 2370799, 8001722, 18967269, 37045648, 64015067?\n\"Answer: 296368*b**3 - 69*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 38074 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 3 - (-179 - -183).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41895373?\nAnswer: 13, 43, 149, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2741013.49 to the nearest 100000.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/224)\/((-4)\/(-16)*6).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 7:58 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 42428435 to the power of 1\/2, to the nearest integer?\nAnswer: 6514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 17*o**2 + 20*o - 45. Determine n(18).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42028624 divided by -1910392.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-3)*(-6)\/44*116\/(-29).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/9 + -8\/9. Let c = 5475 + -5476. What is the second biggest value in c, d, -7, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.017906ms to nanoseconds.\nAnswer: 17906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 21\/16 (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-312)\/(-56) - 4 - 1 - 174\/231\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 500 - a574?\nAnswer: -a074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9053 times 0.2?\nAnswer: -0.18106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 61*s - a = 26*s + 19*s - 7, s = 7*a - 83 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0.9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 89*g - 659. Let q be o(16). What is the greatest common factor of q and 1377?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**3 + 1244*x**2 + 1910*x**5 + x**3 - 1244*x**2 + (2*x**4 - x**4 + x**4)*(-3 + 3 - 2*x).\nAnswer: 1906*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/120 and -103\/96?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2481131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 divided by 1384.\nAnswer: -55\/1384","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1435 + 1384 + -20 + -1 - (0 + -1)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 606 - 594. Solve 24 = -j*q + 18*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 377942888?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 2597\nAnswer: -2\/2597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-42)\/(-4) + 35\/70 + 987\/(-91). What is r in 2048\/13 - 128\/13*r + f*r**2 = 0?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -23, 6 in decreasing order.\nAnswer: 6, 3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 890 divide 987392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, k: 1, y: 1, w: 1, p: 1}. Give prob of sequence kwa.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 84272 + 87.3?\nAnswer: 84359.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**6\/360 + t**5\/30 + t**4\/6 + 7*t**3\/6 + 2*t**2. Let l(k) be the first derivative of i(k). Factor l(h).\nAnswer: (h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*h = -7660, 3*h + 19093 = -3*l + 8*l. Do l and 3813 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 + 20\/((-63)\/18 + 6). Solve l*p = -2*y + 4, -4*p = 2*y + 4 - 6 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*p**2 + 304*p**2 - 137*p**2.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a + 141. Calculate t(-21).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 4 + 129. What is the highest common factor of 100 and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*r**2*z**2 + 2*r**2*z + 2*r**2 + r*z**2 - 4*r*z + 10*r - 2*z wrt r?\nAnswer: 10*z**2 + 4*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137762?\nAnswer: 2, 68881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**5\/4 - 261*f**4\/4 - 7221*f**3\/4 - 40047*f**2\/4 - 29745*f\/2 - 6600 = 0.\nAnswer: -16, -5, -1, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105 (base 11) to base 6.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7014306 a multiple of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14.2 and 0.104.\nAnswer: -1.4768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + 12389*a**3 - 4161*a**3 - 4129*a**3 + a - 4141*a**3.\nAnswer: -42*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32.46 + -36.46. Let r = -283 + 166. Let y = r - -821\/7. What is the nearest to -1 in j, -0.4, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -0.5. Let n = 1119 + -1119.5. What is the nearest to n in g, -2, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 404830241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 20282 = 5*g - 40218, 3*m + 2*g = -36300. What is m rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 7:49 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*d + 381 = -52*d + 1460. Let r(c) = -c - 7. Let b be r(-8). Calculate the remainder when b\/(-5) - (-492)\/10 is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 + 22 = -11*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 899.\nAnswer: 7192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -12*g - 20. Let r(l) = 3*l + 5. Let h(o) = 2*b(o) + 9*r(o). Calculate h(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(48\/(-180)))\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85269.\nAnswer: 3, 43, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4081832184?\nAnswer: 2, 3, 6793, 25037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - r - r = -18, 11 = 4*u - r. Suppose -u*o = -z + 5, 0*z + z = 5*o. Suppose -2*d + 7*d - z = 0. Calculate the greatest common factor of 50 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 - 34.0236. What is a rounded to 3 decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 65*a - 1305. Let o(x) = 7*x - 145. Let s(c) = -55*o(c) + 6*q(c). Let k be s(-28). Solve k*m + 0*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/408 and 115\/306?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -570 - -572. Factor 51*m + 184*m - 10*m + 2*m**w - 7*m**2 + 230.\nAnswer: -5*(m - 46)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/6)\/(w*w**2)*((w\/w**(2\/5))\/w)\/(w**3\/w) assuming w is positive.\nAnswer: w**(-157\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-4) + (-1)\/(-2). Suppose 0 = u*q + 5*b + 42, 3*b + 41 = -3*q + b. Let k = q + 22. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*z = -43*z + 8. Let g = -11 + 16. Which is smaller: z or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/7 + 2413788*i**2\/7 - 728294149824*i\/7 - 1456597954816\/7.\nAnswer: -2*(i - 603448)**2*(i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*w + 5 = 15, 0 = -2*s + 2*w - 10. Let u be (s - (-8)\/(-4))\/(-1). Let j be ((-20)\/(-8))\/(u\/(-2) - -1). Sort -8, 2, j.\nAnswer: -8, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 i when two letters picked without replacement from {o: 6, i: 7}?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 453647295*m**4 + 875073102?\nAnswer: 1814589180*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.95215 months in years?\nAnswer: 0.7460125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.90101502 to 3 decimal places.\nAnswer: 0.901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + 469. 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 greatest common factor of 21224 and 12271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 885097 is divided by 31.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 372 or -987\/23?\nAnswer: 372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252*a - 969*a - 75600 = -87*a for a.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 11:58 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 424 and 21306.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*a + 114*a**2 + 110*a**2 - 252*a**2 - 27*a.\nAnswer: -28*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306796?\nAnswer: 2, 7, 10957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55548 and 37032?\nAnswer: 111096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.015 not equal to 2012\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*j = -75, -24 - 75 = -5*x + j. Solve -4 = m - 2*o + 6*o, -5*m + o = x for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 4, -4\/5, 80, -0.244?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211*b - 2331 = 148*b. What is the remainder when b is divided by 32?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 5*i**4\/4 + i**2\/2 - 15. What is the second derivative of h(k) wrt k?\nAnswer: 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 1. Suppose 3*s = 8*s - 10. Let h(u) = 0*u - 3*u**2 + u**s - 2*u + 4. Suppose 0 = -3*c + 5*k - 2*k + 9, 0 = -c - 4*k - 7. What is c*h(j) - 2*y(j)?\nAnswer: -2*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -2, 76, -23\/3, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4881430834.\nAnswer: 2, 7, 137, 1223, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -197 - -284. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6\/5, -0.4, -1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/23 - 285998*j**2\/23 - 10224785984*j\/23 - 30671784024\/23.\nAnswer: -2*(j + 3)*(j + 71498)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -208, -333, -472, -625, -792?\n\"Answer: -7*x**2 - 104*x - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 1927*h - 117435. Determine f(-63).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 5*u + 5. Let r(h) = -h. Let s(y) = p(y) - 5*r(y). Find the first derivative of s(l) wrt l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49118 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4968583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404 is divided by 63?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -331, -122, 1, 39 in ascending order.\nAnswer: -331, -122, 1, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60593 and 622?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(-5*f**2 + 2*f**2 + 2*f**2)*(-2*f + 5*f + 4*f).\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -399571.388 rounded to the nearest 100?\nAnswer: -399600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2608755529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 + 2*r + 1. Let n be 1*-51*2\/(-6). Suppose 8*g + n = 1. Determine x(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8325*u**2 + 2990*u + 200.\nAnswer: 5*(37*u + 10)*(45*u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -592806\/7 - -84687. Let 0 - v*q**3 + 3\/7*q + 3\/7*q**4 - 3\/7*q**2 = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-10\/3))\/s**(-9))**33 assuming s is positive.\nAnswer: s**440","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 231 + -230. Suppose -3*y + k = x, -y = -x + 6*x - 61. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -528 = -3*o - q, 30*q = -3*o + 26*q + 510. Solve -182*w + 12 = -o*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 3 = 0, -15 = -5*z - 3*p - 2*p for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-7))\/(103\/(-721))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 10:41 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129395 is divided by 43129.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -697 take away 19.0856?\nAnswer: -716.0856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -5*n - 9, n = -6*m + m + 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 121711 and 24.6.\nAnswer: 2994090.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c + 2. Let w be z(0). Let n(p) = -2*p**3 + 53*p**2 - 27*p + 29. Let o be n(26). Solve -9 = s - 4*l + o, -2*s + w = 5*l for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (2 - (1 + -2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/((d\/(d\/d**(-2)))\/d)*d\/(d*(d*d\/(d*d\/(d*d**(-2))))\/d)*d**(6\/5)\/(d**(-6)*d*d) assuming d is positive.\nAnswer: d**(56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -3, -1\/28, -9, -1\/3, 2\/15 in increasing order.\nAnswer: -9, -3, -1\/3, -1\/28, 2\/15, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27 or -2189?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309 - 45*n**2 - 278 + 587.\nAnswer: -45*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 10 = 6. Let k(a) = 2*a**2 - 6*a + 1. Give k(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5118d (base 14) in base 4?\nAnswer: -233221021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5760)*1*1 - 6*-1*sqrt(5760))\/(sqrt(200) - (sqrt(200) + (sqrt(200) + 2*sqrt(200) - sqrt(200))) - ((-5*sqrt(80))\/sqrt(10) - sqrt(8))))**2.\nAnswer: 2205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 23 - 5*y**2 + 28 to r*y**2 + s*y + l and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 7*x**2 - 3*x - 10. Let v be r(-4). Suppose -45*l = -v*l + 10. Sort l, 6, -5, 1 in decreasing order.\nAnswer: 6, l, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -266192.\nAnswer: -266188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1\/p*p)**(-41)\/(p**(-4)*p*p*p*(p\/(p**(1\/3)\/p))\/p*p) assuming p is positive.\nAnswer: p**(-125\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 747*r*z + 13733358*r - 3188*z wrt z.\nAnswer: 747*r - 3188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + j - 3. Suppose 0 = -4*z - 0*z. Calculate u(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1780563770 to the power of 1\/2, to the nearest integer?\nAnswer: 42197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2691335 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10463699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2*i = 5 - 63, 2*a - 78 = -2*i. Let g = -15 + 24. Calculate the remainder when a is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77775 take away -63111653.9?\nAnswer: 63033878.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -z**2 - 104*z**4 + 83*z**4 - z**2 - 26*z wrt z?\nAnswer: -504*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((8\/102)\/4). Suppose 2*a = -4*d + 72, j = 3*d + a - 1. What is the greatest common factor of d and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 29. Calculate the common denominator of 81\/8 and (142\/6)\/((-100)\/z).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4240169 divided by -4.\nAnswer: 4240169\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 2\/(-8))*4. Let p be (-402)\/(-12)*6\/b. Suppose 3*w + 7 = p. What is the highest common factor of 5 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 50*l**2 + 20\/3*l**3 + 1\/3*l**4 + 13*l + 0. Factor a(t).\nAnswer: 4*(t + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/1*(-3)\/((-6)\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + r**2 - 1)*(-4*r + 4*r - 2*r + 263 - 87*r - 263 - 5*r + 3*r + 4*r + (-1 + 1 + r)*(-2 + 3 - 2) - 2 + 2 + r).\nAnswer: -87*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.1, 2\/9, 5, -2, -2\/11, -0.3712?\nAnswer: -0.3712","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 752 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -1 - (-19 - -28).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -3*y - 16 + 65, 3*j + 3*y - 27 = 0. Suppose 14*s - 15 = j*s. Suppose -71 + 11 = -s*g. Solve -2*w - w = -g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybllleiyiibibekbbbe. Give prob of picking 2 b.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -3483484167\nAnswer: 3483484164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.8, -1, 12\/13, 0.3?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4104189341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -d58b6?\nAnswer: -d58b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 2*g + 2*u - 5*u, 2*g + 2*u = 72. Suppose 2*d - g = -21. Solve 3*v + m = -2*v + 27, 0 = d*v - 4*m - 17 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/((t\/(t\/t**(2\/13))*t)\/t*t)*t**22 assuming t is positive.\nAnswer: t**(284\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/5)\/(27\/90). Factor 0 - 2\/3*b**4 + 2\/3*b**2 - c*b + 4\/3*b**3.\nAnswer: -2*b*(b - 2)*(b - 1)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1569163, 3139157, 4709139, 6279103, 7849043?\n\"Answer: -f**3 + 1570001*f - 837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1346 + -889. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**4\/a)\/a)\/a)\/a**(-2))\/(a\/a**(-1\/4))**(-2) assuming a is positive.\nAnswer: a**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 185947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8655533 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18074 is divided by 517?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200010 (base 3) to base 4.\nAnswer: 13221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**3\/11 - 123748*g**2\/11 + 1667960*g - 679264944\/11 = 0.\nAnswer: -62022, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 201120 and 120?\nAnswer: 201120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 51717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 5:52 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6738.861 times -0.03?\nAnswer: 202.16583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238 - 238 + 15*i**2.\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53470381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 962.7681 centuries to months.\nAnswer: 1155321.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 90138692523.\nAnswer: 90138692526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of x**4\/4 + 5*x**3\/3 + 5*x**2\/2 + 3*x + 4. Let r be l(-4). Is -1 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*s + 2*s + 4, -5*s = -4*w - 4. What is the nearest to s in -5, -0.4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -62, -79, -88, -89, -82?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2199 or 2200?\nAnswer: 2199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**2 - 61*a + 5222. Determine v(-53).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**4\/8 - 563*i**3\/4 + 4965*i**2\/2 + 11623*i + 12188 = 0.\nAnswer: -2, 22, 1108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6914 + -1287?\nAnswer: 5627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by -6488.\nAnswer: 3\/811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30452\/368 + -82 - (-142)\/16*-2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -332, 0.3, -5, -0.5, -2 in increasing order.\nAnswer: -332, -5, -2, -0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 16. Suppose -r*b + 9*b - 30 = 0. Calculate the highest common factor of b and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 973e2?\nAnswer: -973e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4865 by -973.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0992 less than 4013.3?\nAnswer: 4013.3992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -830?\nAnswer: -830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00649 to 4 decimal places.\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 0*m + 72 = -6*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6034091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*z - 6 - 12, 4*z - l = -9. Let h = z - -5. Suppose -h*p + 3*p + 14 = 0. List the prime factors of p.\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 46 and 58174?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x - 19. Determine p(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from vzqz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*1*sqrt(60)\/sqrt(5))\/((-1*sqrt(72)*-5)\/sqrt(12)))**2.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - -273. Let y = c - 152. Let g = -137.999937 + y. What is g rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-0.015523822\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 12, -112, -5, -7, -1045 in decreasing order.\nAnswer: 12, 0, -2, -5, -7, -112, -1045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 18 - 26) + 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -88739, -177092, -265447, -353804, -442163?\n\"Answer: -w**2 - 88350*w - 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-9)*(14 + (-88)\/11). Let u = 2.5 + -3. What is the second smallest value in -60, u, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooqoqooqqoqo. Give prob of sequence qqqo.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**4\/((n**7\/n)\/n))\/(n**(-2)\/(n*n\/n**7)))**(-36) assuming n is positive.\nAnswer: n**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 3*q - 27, 2*u - 4*q = 3*u - 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a2 - 76a?\nAnswer: -1061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 941336.6ug?\nAnswer: 0.0009413366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 34 + 30 = 0, 50 = 3*r + 5*w. Calculate the lowest common multiple of 1\/(1\/(-2)) + 26 and r.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**2 - 690*g - 1376 = 0. Calculate g.\nAnswer: -688, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/77888040 and 143\/64950?\nAnswer: 389440200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 3*h + 3, -6*b + 3*b - h = 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 0.8. Let s = 2342 + -2341.8. Sort i, s, -3 in increasing order.\nAnswer: -3, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -1 (b) 4 (c) 1\/4 (d) -1.201\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/4 (b) 9 (c) -2\/5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6403907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-40)*((-1242)\/(-24))\/(-23)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 520?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 2*x = -2*i - 13, -3*x - 12 = 5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -37, -78, -137, -220, -333?\nAnswer: -482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 107.59 - 102.59. Which is smaller: s or -2\/131?\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -64, -186, -362, -592, -876, -1214, -1606?\n\"Answer: -27*l**2 - 41*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/8063 + 16119\/56441. What is the second smallest value in j, 2\/59, -2\/5, 2?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r + 1. Let i(n) = 253*n**2 + 4*n - 4. Calculate -2*c(g) - i(g).\nAnswer: -253*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - 2*l - l)*(0 + 0 + 2*l - 1) + 1056 - l**2 + 12*l - 1056.\nAnswer: -7*l**2 + 15*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*r = 254 + 718. What is the remainder when 71 is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*l + 12, -2 - 6 = -2*l. What is the nearest to m in -5\/6, 0, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -9*j - 1. Let w be l(1). Let z = -6 - w. Let v(q) = 2*q**2 - 7*q + 4. What is the units digit of v(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 2*l**3\/3 + 1. Let o(d) = 2*d**2. Give o(n(g)).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002785 rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = k + 3*s, -27*k = -28*k + 3*s - 9. Suppose 56*z - 53*z - 1803 = k. Is z a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 854.3601 years in centuries?\nAnswer: 8.543601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288081*s + 287472*s - 38367 = 0 for s.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 5, -4, 1\/4, -28\/382023 in ascending order.\nAnswer: -4, -1\/4, -28\/382023, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -115 - -117. Let r(k) = 10*k**2 - 13*k**i + 1 + 7*k**2. What is r(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 18. Let b be z(-8). Let s = b + 31. Let u = s + -43\/2. Is -1 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09287*-24.5.\nAnswer: -2.275315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 787 + -3941\/5. Which is the biggest value? (a) 2 (b) 3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 7*z**2 + 9*z + 12. Let x(u) = 6*u**3 + 34*u**2 - 43*u - 60. Let k(g) = 10*g - 78. Let l be k(8). Let d(t) = l*x(t) + 11*b(t). What is d(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2, 59, 160, 301, 482?\n\"Answer: 20*k**2 + k - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*r + 974 = 59*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -302, -1293, -2284, -3275, -4266, -5257?\nAnswer: -6248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -32485404 divided by -42\nAnswer: 773462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6911, -6907, -6901, -6893?\nAnswer: -6883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2.2885689 months?\nAnswer: 0.000190714075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7613, 3, -4, 0, -1, -2 in increasing order.\nAnswer: -4, -2, -1, 0, 3, 7613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 8\/4 + 0. Suppose 11 = -0*p + p - 4*q, 3*q = j*p - 7. Let x be p + -1 + 13\/3. Put x, -5, -2\/5 in ascending order.\nAnswer: -5, -2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1.5. Let p be (-60)\/16 + (40\/32)\/(-5). What is the smallest value in -0.5, p, w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 7. Suppose 4*m = 0, -6*r + 3*r + 6 = 2*m. Let v(q) = 3. Let h(i) = r*p(i) + 5*v(i). What are the prime factors of h(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/11*(-8)\/20?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 2684935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*b = -3*b - 1305, 0 = -5*r + 3*b + 1295. Let x = -260 + r. Let g = 22 + -2. Calculate the lowest common multiple of x and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 4*r**5 + 1 + (-4*r**2 - r**5 + 4*r**2)*(-2 + 3 - 2).\nAnswer: 5*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + (1 + sqrt(3))**2 - sqrt(3) - (-1 + sqrt(48))).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*f + 22 = 0, -2*o - 3*f + 44 = -7*o. Let k be (-34)\/o + (-10)\/25. Solve 3*b + 1 = 3*r + b, k*r = b + 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 821712 and 16974840?\nAnswer: 645043920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/(-4)*(-10)\/(-15). Let q(y) = 2 - 2 + 6*y**3 - 7*y**2 - 5*y**i + 5*y. What is q(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16, -16, -18, -22, -28, -36?\n\"Answer: -a**2 + 3*a - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 246 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34\/10 + -6 + (-112)\/(-20). Suppose 2*m + 2*m + 280 = 5*o, y*o = -3*m + 195. Let b(u) = -30 - u - u**2 - 29 + o. Calculate b(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 75*b. Let z be h(1). Suppose -5*y + z = -75. Suppose 5*u = 5*r + y, 5*u - r - 36 = r. Calculate the greatest common factor of 16 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19290630 by -3.\nAnswer: -6430210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (0 - (7 + -4))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/9*3*1. Suppose 0 = y*x + d - 21, 3*d = -0*x + 3*x + 3. Suppose -x*w - 3*v = w - 44, 5*w = 5*v + 60. 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: What is prob of sequence rq when two letters picked without replacement from {r: 10, q: 2}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/96 and 17\/546.\nAnswer: 8736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((7 - -10) + -10)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1155 - 932.9. Let g = 206 - c. Let a = g + 16. Put a, -1\/5, -1 in ascending order.\nAnswer: -1, -1\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 427\/4, 0.25, 62, 3\/8 in increasing order.\nAnswer: 0.25, 3\/8, 62, 427\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5020 = 4*j - 4*m, 5*j = 3*j + 5*m + 2495. Is j a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s + 0*s + 0*s)*(-2 + 2 - 2) + 4*s - 7*s + 0*s + (6 + 0 - 2)*(-4*s + 2*s - s) to the form f + w*s and give w.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 5757*z**2. Let y(g) = 104709*g**2. Calculate y(j(p)).\nAnswer: 3470375517741*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-960)\/(-32)*(-2)\/(-5)*5\/(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3173527142?\nAnswer: 2, 1586763571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**3 - 2*k - 1. Let l be f(-1). Let r be -9 - -6 - l*3. Solve 2*t + 2*t - 8 = r for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 53.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*z + z + 5*g, g + 2 = -z. Let t be (0 + z)\/(15\/10). Suppose 3*v - 3*j = -0*j, 3*v - t*j = 2. Calculate the lowest common multiple of 84 and v.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 147*s**3 + 30 - 15.\nAnswer: 147*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -279, -698, -1261, -1968, -2819, -3814?\nAnswer: -4953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -715 or -718?\nAnswer: -715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305857 is divided by 19956?\nAnswer: 6517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) - -1*sqrt(931)) + -3 + 1)**2 + 4*(sqrt(931) + -1) + 0 + -5.\nAnswer: -28*sqrt(19) + 3719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = w - x - 46, -2*w - x + 29 = 0. Let k be 3*2\/w*20. Let v = -6 - -10. Solve 2*q + 2*q + o + k = 0, o = v*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 14 = 2*w, -h = h + w - 11. Suppose -y - 6 = -6*u + 4*u, -5*u + h = 2*y. Put 1, 4, y in ascending order.\nAnswer: y, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.06 + -0.06. Let r = -2 + h. Let z = 7 + -6.7. What is the closest to r in -4, -0.2, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5849247 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140570 is divided by 46731.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 5:48 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -88, -1614, -3140?\n\"Answer: -1526*o + 1438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**4\/8 + 4*d**3\/3 - 116*d**2. Let l(p) = -2*p + 7. Calculate -4*h(u) + 5*l(u).\nAnswer: 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-7)*(-1540)\/22.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07494 - 0.0597.\nAnswer: 0.01524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or 1350?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s**2. Let p(k) = 190*k**2 + 4*k. Calculate p(y(i)).\nAnswer: 6840*i**4 + 24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -7*m - 28. Is w(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*d - 690 = 124*d for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -232, -231, -242, -271, -324, -407, -526, -687?\nAnswer: -896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 161790467 to the nearest integer?\nAnswer: 12720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125063 + 125063 + 31*h.\nAnswer: 31*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 1:50 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 1 = r - 2*k, 0 = 3*r - 5*k + 16. Suppose 5*z = -0*s - r*s - 15, s = -z - 3. Is -0.6 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60173.\nAnswer: 19, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 + 15. Let l be (2\/(-2))\/(3\/q). Suppose 2*k - 25 = 5*c, -3*c = 4*k - 0*c + 15. Solve 3*v = -5*j - l, -3*j = -5*v - k*j - 18 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(2\/2*-29)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 48*c**2 - 1307. What is j(0)?\nAnswer: -1307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1680 and 50?\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -397\/5 - -79. Put 0.1, -0.3, o, -1\/3 in decreasing order.\nAnswer: 0.1, -0.3, -1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 99? (a) 2\/11 (b) -40 (c) -2 (d) -5 (e) 0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 11*l**2 - 11*l - 8. Let w = 1 + 7. Suppose -4*c = 5*y + 50, 5*y = -w*c + 5*c - 40. Calculate f(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 109 + -106. Solve -4*k = -b*k - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d104db (base 15) in base 7?\nAnswer: 150230540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -2*u**3\/3 + 3*u**2\/2 - 12*u. Determine g(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + 4 - (0 + 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w**3 - w**3 + 2*w**3)*(-567693 + 1137997 - 561505 - w) as t + q*w + b*w**4 + h*w**3 + d*w**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1087595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 1\/15*r**6 - 4*r + 0 + 0*r**4 + 0*r**2 - r**3 + 0*r**5. What is the second derivative of o(b) wrt b?\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/56 and 93\/23360.\nAnswer: 163520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*x - 4*b, -18 = -3*x - 4*b + 2*b. Suppose 11*s = 12*s + 8. Let a = 0 - s. Solve a = -0*t + 4*t - 2*z, x*z + 16 = 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -106*r - 744. Determine j(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 153*d**4 + 36*d**3 + 72*d**2 + 18*d + 1716. Let s(f) = -2*f**3 - 4*f**2 - f. Let k(w) = -j(w) - 18*s(w). Differentiate k(y) with respect to y.\nAnswer: -612*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 30. Let d = -16 + 22. Suppose 2*k = -t - d + 77, -k + 5*t + 8 = 0. Calculate the highest common factor of k and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 1164 = 1180 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1022 (base 3) to base 14\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -123*g - 118*g + 242*g. Let s(z) = -32*z. Calculate s(n(w)).\nAnswer: -32*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9504321 millennia in centuries?\nAnswer: 9.504321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*g - 3013 = -433. What is the derivative of -57 - 183 + 26 + 69*u + 53*u + g*u wrt u?\nAnswer: 165","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 35 (c) 0 (d) 2\/5 (e) -0.062\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.61 + -8.61. Let p be (-3)\/(-6)*(-4)\/261. Let y = p - -536\/1827. Is y != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, t: 1, e: 1, b: 1, c: 1}. What is prob of picking 1 i and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91 - 33 - 27 - 31 - 28488*n**2.\nAnswer: -28488*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 338453603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((2\/12)\/((-4)\/24))\/1. Which is the nearest to 4\/5? (a) t (b) 0.4 (c) 0 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 111.24 + -111.3. Sort -0.4, a, 0.4, 0.\nAnswer: -0.4, a, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 8 - (1 - -9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millimeter in micrometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15596 is divided by 900.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 + 49. Let a = -9.91 - 0.09. Let x = a - n. Put x, 3, -1\/5 in increasing order.\nAnswer: x, -1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/2, 5, -3\/4, -36, -1, 78352?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -125232 + -286?\nAnswer: -125518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 1. Let p(y) = 2*y**2 + 2*y. Suppose -2 - 2 = 2*s. Let f be p(s). Put q, f, 0 in ascending order.\nAnswer: q, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0111 and -506.\nAnswer: -506.0111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o**2. Let w(k) be the third derivative of -k**5\/24 + 14*k**3\/3 + 5*k**2. Let f(v) be the first derivative of w(v). Determine x(f(l)).\nAnswer: 125*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 310 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 15*b - 2224. Let p = 230 + b. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 divided by 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 18 = l, 3*l - 26 = -0*o - 5*o. Suppose l*q + 0 = -4. Sort q, -26, -1 in decreasing order.\nAnswer: -1, q, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1750 (base 13) to base 11.\nAnswer: -2652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 24885242, 24885230, 24885218, 24885206, 24885194, 24885182?\n\"Answer: -12*y + 24885254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3\/55, -5, -0.85, 1\/3, 22, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 683 = -38*b + 1823. Let n be 26\/7 + (-15)\/(b\/8). What is the nearest to n in 5, -6\/5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*y + 5 = 0, 2*k = -3*y + y + 16. Suppose 0 = 3*h + k*h - 6. Calculate the greatest common factor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(525\/(-325)))\/((12\/7)\/4)\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -53*l*s*z - 27*l*s - l*z**2 + 4*z**2 - 3 wrt z.\nAnswer: -53*l*s - 2*l*z + 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 44629917 to the nearest 100000.\nAnswer: 44600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 3*o - 3, 2*j + 84 = 3*o + 81 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7556287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 115.7 + -115.9. Let u = 21 - 21.09. Let w = u - 0.01. Which is the nearest to p? (a) -4 (b) w (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7*w**3 + 15 - 13*w**3 + 5*w**3 + 9 - 3*w. Let o be p(0). Suppose -3*g + 0 + o = 0. Solve 0 = -m + 5*m + g for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -5*v + 3487, -13*n = v - 17*n - 683. Suppose 0 = x - d - 274 - v, 3*d = -4*x + 3862. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -9*t**3 - 22287*t**2 - 6815775*t - 2269449 = 0.\nAnswer: -2119, -357, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y - 6. Let x(d) = 2*d. Let v be x(1). Let i(m) = -9*m + 60. Let p(f) = v*i(f) + 21*n(f). Calculate p(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffj when three letters picked without replacement from jjjjjjjjjjjjjjffjj?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 113 + 19. Let i be (6\/(-9))\/((-8)\/q). Suppose 3*o = -i + 32. Solve 3*x + 5*d + 13 = -o, 2*x + 5*d + 15 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179487210 to the power of 1\/3, to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10908, -43152, -96720, -171612, -267828?\n\"Answer: -10662*q**2 - 258*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*u**3 + 25*u**3 + 209 + 37.\nAnswer: 3*u**3 + 246","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166818874*x - 166818874*x + x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 1299 - 627 - 650)*(8*j**3 - 39*j**3 + 6*j**3).\nAnswer: 50*j**4 - 550*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*f**2 - 18 - 21 - 3608*f + 3595*f.\nAnswer: -50*f**2 - 13*f - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggep when four letters picked without replacement from {p: 7, e: 2, f: 1, g: 2}.\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1622 = -4*r + 3578. Suppose 4*z = 4*w - 1133 + 93, 5*w - r = -z. Calculate the remainder when w is divided by 66.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -15322\/9, 1.94, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 1286790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 8:48 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -101011010001011000 (base 2) in base 13?\nAnswer: -6289b","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/1*(-20)\/(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -15, -9, 44, -7 in descending order.\nAnswer: 44, 4, 2, -7, -9, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 1353 = -2*d + 21*d. Solve 35*r + 54 = d*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/10)\/(6\/760). Let h = -96 - f. Let x = h - 39. Does 6 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 30301?\nAnswer: 242408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -290 by 7.\nAnswer: -290\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 224*s + 6272.\nAnswer: 2*(s + 56)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7776 and 1712?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r + 11. Let j be x(-3). Let o(p) = -4. Let s(m) = m - 1. Let u(d) = o(d) - 4*s(d). Let i(a) = 3*a. Calculate j*i(b) + 4*u(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 167025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - a = -8. Let s be (2 + -1)\/(1\/a). Suppose -s*v = -73 - 1. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.35 in -1\/2, 2\/7, -2, -50\/89, -6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2.4, -315, 2\/7, -3\/296, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -496 + 453. Let i = x - -375. What is the greatest common divisor of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 56*p - 21. Let v(a) = -14*a + 5. Let n(q) = -5*r(q) - 21*v(q). Let i(u) = -243*u. Let c(o) = -849*o. Let j(m) = 4*c(m) - 14*i(m). What is j(n(z))?\nAnswer: 84*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -38029655*h**2 + 110774385 wrt h.\nAnswer: -76059310*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) -0.08 (c) -0.5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i - o - 37, -3*i = 565*o - 566*o - 5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -13*s - 4*s**2 + 8 - 27 + 10 + 6*s**3. Let f(t) = 3*t**3 - 2*t**2 - 6*t - 4. Determine -13*f(h) + 6*r(h).\nAnswer: -3*h**3 + 2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4*b - 7, 0 = -2*x - 2*b + 5 + 3. Let r(k) = -k + 7. Let n be r(x). Suppose n*a - 5*a = -9. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/280 and 5055\/75600 - (9 + 316\/(-36)).\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111100 (base 2) to base 16.\nAnswer: -bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 50529?\nAnswer: 50527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396 = -98*t - t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.55, 1, -6, 4, -0.289, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -904*h - 635*h = -507*h - 12384 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -875*i - 808*i + 18 - 562*i.\nAnswer: -2245*i + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/3*5\/(120\/(-9))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkj when three letters picked without replacement from {j: 1, q: 2, k: 4, l: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78 and -13*(2\/4)\/(1\/(-72))?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171758.\nAnswer: 2, 157, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2016\/40 - (-21)\/35 is divided by 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3495*g**2 - 783. Let v(u) = 10486*u**2 + 2310. Let o(z) = -8*f(z) - 3*v(z). Differentiate o(s) with respect to s.\nAnswer: -6996*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 11*b**2 - 20*b + 80. Let d be r(-13). Solve 3*u = -5*v + 2, 2*u = -d*v - 0*v for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -32*b**2. Let n(c) = 50*c**2 - 27*c**2 - 25*c**2. Determine n(v(o)).\nAnswer: -2048*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {y: 2, p: 16}.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -289 + 411. Suppose -r = -3*s + 55. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -393360191 divided by -41.\nAnswer: 9594151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/3 - 22*x\/3 + 8.\nAnswer: -2*(x - 1)*(x + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -176.55 - 673?\nAnswer: -849.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 165\/60 + 48 - 50. Factor -45\/4*b - r*b**2 + 0.\nAnswer: -3*b*(b + 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288948\/67 >= 4314?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11585487, -23170978, -34756469?\n\"Answer: -11585491*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**5 + 158*z - 158*z - z**5 + 4*z**5 - 2*z**5 + (12*z - 12*z + 5*z**3)*(-1 - z**2 + 1) + 4*z**5 - 3*z**5 + 0*z**5 + (1 - 1 + 1)*(-2 - 2*z**5 + 2).\nAnswer: -3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.9765 rounded to one decimal place?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 102*a**2 + 62*a - 48. What is the thousands digit of m(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40930041 or -40930032?\nAnswer: -40930041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of i**4\/28 - 15*i + 12. Let l(g) be the first derivative of z(g). Determine j so that l(j) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13\/5 - -11\/5. Let u = -3 + 6. Let w = 3820\/13 + -294. Which is the second biggest value? (a) u (b) d (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 3*i + 12. Let r be o(5). Let k be 3 - 5 - ((1 - r) + -1). Suppose y - 22 = -2*l - 3*y, k = -4*y + 20. Which is greater: -6\/29 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.15743 - 0.159. What is k rounded to 4 dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -6974\nAnswer: -6973.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/68333 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**8\/1344 - 7*f**7\/60 - 193*f**6\/480 - 2*f**5\/5 - 509*f**2. Factor k(v).\nAnswer: -v**2*(v + 1)**2*(v + 96)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 402*q**3 + 397*q**3 + 588*q**3 - 2212*q**3 + 420*q**3 + 403*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 328774856?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 + 1. Let b be 2\/4 + c\/(-8) + -4. Solve 0 = -b*y + 1 + 1, 4*l - 3*y + 7 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 65992*o**3 + 1522*o**2 + 36*o wrt o?\nAnswer: 395952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(6)*-1 - sqrt(6))*-3)\/((sqrt(36) - -1*sqrt(36))\/sqrt(12)))**2 - (3 + sqrt(8)\/(-2*sqrt(100))).\nAnswer: sqrt(2)\/10 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 141818604 - 141818707.999943. Let z = h + 104. Round z to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-7)\/((q**11\/q)\/q) assuming q is positive.\nAnswer: q**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 45999*s. Let q(k) = -16*k**2. Calculate r(q(z)).\nAnswer: -735984*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -h + 5*h. Suppose -h*g + n = -311, 5*n - 509 = -5*g + 2*n. Let c = -26 + g. Calculate the highest common divisor of c and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -289716 divided by 72429.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 14) to base 12\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123, -241, -361, -483, -607, -733, -861?\nAnswer: -991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72430 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*f - 37*f = 5*p - 77878, 4*p - 62306 = -2*f. Does 35 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11553.1 + -11553. Which is the closest to t? (a) -0.09 (b) -0.4 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05 - 638.3.\nAnswer: -638.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 17 = -8*k. Let d be 118\/8 - k\/8. Let x(a) = a. Let n be x(d). Solve -4*p = -9*p - n for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*x - 13. Suppose -4*r - 2*l + 16 = -28, x*r - 85 = 5*l. Let y = r - 13. Solve -a - a - 2 = y for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.75 - -13. Let t = -11.75 - w. Let s = 12.4 + t. Sort 1\/6, s, -2 in descending order.\nAnswer: s, 1\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 9, a: 10}. Give prob of sequence aooo.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3782)\/92659)\/((-1)\/(-77))?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**2 + 2*f**2 - 6*f**2 - f**2 + 0*f**2 - f**2 + (1 - 1 - 2*f)*(6*f - 3*f - f) - f**2 + 0*f + 0*f)*(210*f + 262 - 260 - 24*f).\nAnswer: -1116*f**3 - 12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/4, 4, 0.5 in decreasing order.\nAnswer: 4, 3, 0.5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -46*k**2 + 129*k**2 - 8*k - 38*k**2 - 7 - 44*k**2. Suppose 0 = 4*a - 39 + 11. What is v(a)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 56 in descending order.\nAnswer: 56, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*z = -16*z + 45*z - 432972. What is the hundreds digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 156849?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, w: 4, n: 2, b: 4, p: 2}. What is prob of picking 1 w and 2 p?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -264.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75 + -33. Let i be 6\/h + (-1)\/7. What is the derivative of -13 + i*g**2 - 9*g**4 + 21 + 0*g**2 wrt g?\nAnswer: -36*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1765153 and 130?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1868721471 to the power of 1\/2, to the nearest integer?\nAnswer: 43229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 60535 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -4793561?\nAnswer: -2\/4793561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -217 - -402. Let y = 499 - j. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - ((-2)\/22)\/((-102)\/561)*47446. Is i at least -23720?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 51798 = -5*n, 2*d - 151951 = -4*n - 48397. List the prime factors of d.\nAnswer: 3, 41, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32820913 to the power of 1\/3, to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (522 + 1294 - 2350 - 2408 - 1924)*(12*m**2 + 17*m**2 - 13*m**2) in the form j + v*m + n*m**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuucukeueuhukmukh. Give prob of picking 1 u and 2 e.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*g - g + 10*g)*(-2*g**3 - g**3 + g**3) to the form u*g**4 + y*g + p*g**2 + r + i*g**3 and give u.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -45 - 4*t - 45 + 132 - 44 - 3*t. Let f(r) = -3*r - 1. What is 5*f(z) - 3*n(z)?\nAnswer: 6*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of z**5\/30 - 5*z**4\/2 - 7*z**3\/2 + 61*z**2\/6 - 354. Suppose c(x) = 0. What is x?\nAnswer: -2, 0, 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1458 and 12.\nAnswer: 2916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.43 + -13.92?\nAnswer: -15.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227084?\nAnswer: 2, 11, 13, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 787.861 litres to millilitres.\nAnswer: 787861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*w. Suppose w = 5*u + 2*j - 12, u + 4*j + j = -16. Let f = -7 - -2. Put -4, u, f in descending order.\nAnswer: u, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 1. Let w(q) = -5*q + 4. Determine -3*r(s) + w(s).\nAnswer: -5*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.443 to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30515)\/7888 + 4 + ((-1176)\/232 - -5).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 0*u**2 + 36 + 0*u**3 - 11\/3*u**4 - 2*u + 23\/30*u**6 + 0*u**5. Find the third derivative of y(d) wrt d.\nAnswer: 552*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-1))\/2*(3 + -6). Solve -1 - 8 = -y*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 1964130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 9*c - 9*c - c - 1. What is x(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -137 + 140. Suppose o*t = -12, 22 = -3*f - 2*t - 2*t. List the prime factors of (29*f)\/((-6)\/30).\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 496\/(-2232)*1\/(-24)*-9.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*z + 40, v = -v + 2*z + 96. Let s be v\/18 + 12\/54. Is 4 a factor of ((-4)\/s + 0)*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 5*k**4\/12 - 2*k**3\/3 - 7*k**2\/2 + k + 11. Let z(f) = -f**2 + 1. What is l(g) + 6*z(g)?\nAnswer: -g**2 - 4*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1186 - -1191. Let r(j) = -2*j - 1. Let k be r(-3). Suppose -k*s = -2*z + 301, -u*s = 2*z - 218 - 93. What are the prime factors of z?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 235 + 2184 = -3629. What is the greatest common factor of 1848 and r?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/35)*r**3)\/(r\/r**(2\/7))**(-1\/11) assuming r is positive.\nAnswer: r**(1158\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + o. Let w(c) = -3*c**3 - 5*c**2 - 5*c + 3. Let b(h) = -4*i(h) - w(h). Let f be b(5). Solve f*m = -2*m - 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - -84?\nAnswer: 8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -27689, -1\/641.\nAnswer: -27689, -1\/641, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t*t\/(t*t**(-22)\/t)))**(2\/41)*(t*t*t**32)\/t*t**(-2\/57) assuming t is positive.\nAnswer: t**(74531\/2337)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*-2*sqrt(76) - sqrt(76) - sqrt(76)) + sqrt(76) + sqrt(76) - sqrt(76)) + sqrt(76))\/(sqrt(324) + sqrt(324)*1).\nAnswer: 5*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1988241468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 33772, 67411, 101052, 134695, 168340, 201987?\n\"Answer: t**2 + 33636*t + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*d + 21 + 589, n = -d + 203. What is the highest common factor of 84 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54283377 - 22*x**3 - 164*x**3 + 54283377.\nAnswer: -186*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53585*g**3 - 17866*g**3 - 17861*g**3 + 2*g - 17869*g**3 - g.\nAnswer: -11*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*t - 47*t**3 + 2*t**2 + 128*t + 64*t**3 - 12*t**3 - 3*t**2.\nAnswer: 5*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 + 45.77. Let j = g - -1.229819. What is j rounded to five dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.68, -4, -68?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -407.2 to 0 decimal places.\nAnswer: -407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**3 + 164*c**2 - 1525*c - 144. What is j(12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1972, -1495, -1018, -541?\n\"Answer: 477*y - 2449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -83.5 and -8461.\nAnswer: 706493.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -37559260, -37559268, -37559276, -37559284?\n\"Answer: -8*y - 37559252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57.161 - 57. Let o = x + 0.139. Let j = -442\/21 + 64\/3. Which is the closest to j? (a) -3\/7 (b) 0.4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4045, -4, 122 in decreasing order.\nAnswer: 4045, 122, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20770541?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-5) + ((-42159)\/(-15))\/13. Suppose 0 = 4*y - 2*p - 210, -37 = -3*y - 3*p + 134. Calculate the highest common divisor of y and t.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3366 and 5038.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2641981 + 3*z**3 - 4*z**3 + 2641981 + z**2 - z. Let j = 34 + -64. Let t(c) = -10*c**3 + 15*c**2 - 15*c. Calculate j*h(k) + 2*t(k).\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 4, -12572.\nAnswer: -12572, -16, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 16. Which is smaller: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j + 10183 - 60148 + 418214.\nAnswer: 3*j + 368249","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13224)\/(-2204)*(-1)\/(-15). Factor 4\/5*f + k*f**2 - 16\/5.\nAnswer: 2*(f - 2)*(f + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*(i**5 - 2*i**5 + 0*i**5) + (3 + 16 - 8)*(7*i - 9*i**5 - 7*i).\nAnswer: -98*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 16. Let q(f) = 3*f**2 + 2*f - 1. Let w be q(u). Let p be (-30)\/w*(-126)\/27. Solve -4*v = p, -2*c + 5*c - 2*v = 19 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 218*z - 3754. Determine a(16).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.6 + 1.5999925. What is w rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1074649, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -9*r**2 + 7\/3*r**3 + 37*r - 168. Differentiate m(z) wrt z.\nAnswer: 14*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 527 at least as big as 2638\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (65\/(-20))\/(-13)*16. Which is the second smallest value? (a) k (b) -5 (c) -1 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1371, -2706, -4041, -5376, -6711, -8046?\n\"Answer: -1335*t - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -827*b = -831*b - 16. Put b, 0.3, -1\/852 in ascending order.\nAnswer: b, -1\/852, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 391*t + 1219. Calculate the smallest common multiple of y(11) and 840.\nAnswer: 38640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018587 rounded to 3 decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52 or -358\/7?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.9 and 0.1?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -103947*g**4 + 14*g**2 - 16212004*g wrt g?\nAnswer: -1247364*g**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3588, -7186, -10794, -14418, -18064, -21738?\nAnswer: -25446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*w - 17 = 9*w. Which is smaller: w or -10\/67?\nAnswer: -10\/67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 10. Let h be (7\/(-21))\/(1\/(-9)). Suppose h*x = -2*g - w*g - 187, -g = 3*x + 182. What is x rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 - -0.2. Let t be (8\/(-14))\/(-3 - -1). Let p(s) = s - 4. Let n be p(4). Which is the closest to n? (a) 4\/7 (b) x (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (0 + ((sqrt(3) + sqrt(3)*2 - sqrt(3)) + -4)**2 - sqrt(12)\/(sqrt(36)*2)).\nAnswer: -97*sqrt(3)\/6 + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.12545 rounded to one dp?\nAnswer: 28.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1081652 is divided by 2691?\nAnswer: 2561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44550)\/(-9720)*8\/99*(-1)\/15?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 - -36. Sort j, -3, 3 in descending order.\nAnswer: 3, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ldlzltdzzlldttlotlz. What is prob of picking 1 o and 2 l?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8944, 17865, 26800, 35755, 44736, 53749?\nAnswer: 62800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 622787 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/(-24)*-4 - 6\/(-2). Factor z + 3*z + 1 - 2*z**2 + k - 1.\nAnswer: -2*(z - 3)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + c**2 - c + 1. Let z(b) = -9*b**2 - 5*b - 2. Let g(x) = -y(x) - z(x). What is g(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 4*k + c - 60, 36 = 2*k + 4*c. Suppose -2*o = -k*o - 8. What is the closest to 1 in -5\/3, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in -2\/8709, 0.1, -68, -0.3?\nAnswer: -2\/8709","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 63698 or 63699?\nAnswer: 63699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5280620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 5*m - 23 = 0, 67*m + 24 = -4*q + 63*m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/4)\/(3\/4). Suppose 6 = -2*o, -r*h + 0 = -4*o - 20. Let j = -6 - -3. Sort 1, j, h in ascending order.\nAnswer: j, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5750554045 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from nttttnkhkk.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 114971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0122676 to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*d = 20*d + 119 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.19 + 5.19. Which is the second biggest value? (a) 0 (b) 1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2585 - -30959\/12. Find the common denominator of -1 - 6\/(-8) - (-41)\/(-8) and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*m*x**4 + m*x**3 + 3*m + 2*x**2 - 5*x wrt x.\nAnswer: -60*m*x**2 + 6*m*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/1224 and 125\/23256.\nAnswer: 23256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 3*u + 1. Suppose 4*p + 5*r - 30 = -p, 3*p - r - 10 = 0. Let s be z(p). Which is the second biggest value? (a) -0.9 (b) -1\/4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012177 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 76487617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2 + -2*sqrt(245)*-3 + -2))**2.\nAnswer: 35280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -68.0379 + 68. Let r = j - 0.0621. Which is the nearest to r? (a) -3 (b) 5 (c) 35 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2405, -2495, -2571, -2627, -2657, -2655?\nAnswer: -2615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ef when two letters picked without replacement from {f: 5, e: 5, j: 1, s: 1, m: 4}.\nAnswer: 5\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*g = -83*g - 3*m - 17, 4*g - 5*m - 7 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(33)\/sqrt(147) - sqrt(11)))**2.\nAnswer: 396\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -19. Let j(d) be the second derivative of d**5\/20 - d**4\/2 + 5*d**3\/6 - d**2 + 2*d. Let k be j(5). Sort 1, k, q in descending order.\nAnswer: 1, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-3) + (-542)\/6. Let l = 457\/5 + y. Which is greater: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 1 - 93162581*k**2 - 3*k + 93162580*k**2 + 8*k. Let x = -10 + 14. Give v(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gpggpgppggggggggpp. Give prob of picking 2 p.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1304 in 0.1, 7087, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 10. Suppose -j*f + 16 = 7. Suppose -l - f*y + 224 + 105 = 0, y = 5*l - 1645. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2. Suppose 4*i + 3*l - 2*l = 21, 5*i + 4*l - 18 = 0. Suppose -i*d = -d - 15. Let w(p) = -p**2 + d*p**2 - 4*p**2. Determine q(w(r)).\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10052559887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*((-35)\/15 + 3). Suppose -s = -2*g - 4, 253*g + 2*s - 2 = 255*g. Sort b, 5, g in ascending order.\nAnswer: g, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-8)*(-1 - 11). What is the remainder when 45 is divided by (20\/(-15))\/((-2)\/w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-60)*-40*(-3)\/(-48)\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -z + 28*z + 3*z - 47*z**2 + 52*z**2 wrt z.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/7)\/w*w**(3\/8)*(w\/(w\/(w\/(w\/w**(-1\/2)))*w))\/((w*w\/(w\/w**(-2\/5)))\/w))\/((w\/((w**6*w)\/w*w))\/(w*w\/(w\/w**9*w)*w*w*w))**(6\/7) assuming w is positive.\nAnswer: w**(3757\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*q + 0*q - 4*q)*(-30 - 40 + 23)*(-71*q - 2*q**2 + 2 + 71*q) as k*q**3 + u*q + p + w*q**2 and give k.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + -1)\/((-20)\/30). Suppose j = -s*j. Which is the second biggest value? (a) -0.1 (b) j (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31438 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 3) + 2 - (-5 - -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 8*h + 1311 - 1299 = 0, -3*h = -15 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3, 0 in increasing order.\nAnswer: -7, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*a - 560 = 0, 8*x - 3*x = 9*x - 5*a - 92 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a6c - 1?\nAnswer: -a6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -963*-1.\nAnswer: 963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -1513.\nAnswer: 5\/1513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 46665623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 3*i - 18, 0*m = m + 5*i + 14. Let j(a) be the third derivative of -a**6\/120 - a**5\/15 - 12*a**2. What is j(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.94 + -0.9. Let v = u - 0.04. Suppose -y - 15 = 2*y. What is the closest to v in 0.5, y, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 84756 or 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - w + 4. Let f be u(0). Suppose 4*p - 5 + 17 = f*v, -3*p - 9 = -v. Solve v = 3*r - 8 - 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1897*j + 2028*j - 1918 = 3788*j for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3269228076 to four decimal places.\nAnswer: -0.3269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -44327 and -44329 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r, -3*h - 8 = -5*h + 2*r. Let p be 0 - h\/8*0. Solve n + p*n - 1 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -10420?\nAnswer: -10424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**6*c\/((c\/c**(-1\/2)*c)\/c)*c*c*c\/(c*c\/(c**(-1)*c*c)*c)*((c**(-2\/3)*c)\/c)\/c)**(-15))**(9\/7) assuming c is positive.\nAnswer: c**(-1305\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 263, 154, -157, -772, -1793, -3322, -5461, -8312?\n\"Answer: -17*k**3 + k**2 + 7*k + 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 130633688 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -10. Let p be (-1)\/(u + (-1)\/22). Suppose p = 5*w - 5*h + 7, -3*w + h = -15. Solve g - 20 = w*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 337537, -6\/17, -0.1?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9486 and 238?\nAnswer: 66402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 66, -104.\nAnswer: -104, -1\/7, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 313*f**2 - 385*f**2 - 915*f**2 + 1429*f**4 wrt f.\nAnswer: 34296*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, 4, 1\/4, -590, 1\/3, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -9*u + 170. Let s = 20 - u. Factor 3\/2*o**4 - 3\/2*o**2 + 3*o**3 - 3*o + s.\nAnswer: 3*o*(o - 1)*(o + 1)*(o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 17, -51, -0.134?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + n + 1. Let w(j) = j**2 + j + 2. Suppose -4*o - 2*q = -14, 290*q - 8 = 2*o + 286*q. Give o*r(c) - 3*w(c).\nAnswer: -c**2 - c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**4 - 5 + 5 + (0*t**2 + 0*t**2 - 2*t**2)*(-t - 2 + 2)*(-1 - 43*t + 1)*(2 + 0 - 5)*(-6 + 3 + 1).\nAnswer: -515*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -59, 2\/3, 0.\nAnswer: -59, -5, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 19. Suppose -7*g + f*g + 4 = 0. List the prime factors of (8\/(-4) - -19)*g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13293 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.224233 * -1452.\nAnswer: 325.586316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1654350 (base 8) in base 4?\nAnswer: 1311203220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*w - 0*w - 17, 0 = 3*w. Let g be (v\/51)\/((-2)\/(-12)). Let r(s) = -s**3 - 6*s**2 - 5*s. Let x be r(-5). Sort g, 10, x in decreasing order.\nAnswer: 10, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 2*r + 1488 = 0. Let q = -1732\/7 + r. What is the closest to 0.1 in -3\/4, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1454\/27711 or 0?\nAnswer: -1454\/27711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 129565 + -125.3.\nAnswer: 129439.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -133, -506, -1127, -1996?\n\"Answer: -124*g**2 - g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 318 by 7248.\nAnswer: 53\/1208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132802 is divided by 1219?\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001158797 to 6 dps.\nAnswer: 0.000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 29 + 51. Let x(l) be the second derivative of l**3\/3 - 2*l**2 - 4*l. Calculate the remainder when v is divided by x(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 506, 1003, 1500, 1997, 2494?\n\"Answer: 497*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-33)\/p*p*p*p)\/p**36)\/(p*p**(-5))**(-1\/15) assuming p is positive.\nAnswer: p**(-1009\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 3 (c) 0 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v - 12. Let r be s(8). Let m = 1 - r. Suppose -m*d + 237 + 318 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4791 - 4457. Solve 329*c = n*c + 30 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1969 + -50?\nAnswer: -19b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 10 = 0, -2*a - 1 + 7 = 2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5637735 divided by 9?\nAnswer: -626415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, f: 4, g: 3, c: 2}. What is prob of picking 1 g and 2 f?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + u + u)*(-32*u + 7*u**2 + 32*u).\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((105\/(-10))\/(-7))\/(114\/8) and 52\/9.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -69, -100, -133, -168, -205?\n\"Answer: -t**2 - 28*t - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from {p: 1, d: 1, z: 1, f: 1, x: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -14*g + 15. Let u(d) = -5*d + 5. Let m(f) = -6*o(f) + 17*u(f). Let h be m(-3). Let l = h - -16. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2 - (-15)\/(-66)*(-87)\/(-6) and -71\/136?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181334142 plus 13711?\nAnswer: 181347853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 5*t**2 - 3*t - 2. Let k be h(4). Suppose 0 = -4*q + 6 + 2, 0 = -k*i + 2*q + 154. Calculate the remainder when 146 is divided by i.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 294, -1.7, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - b - 5*y - 15, 5*b - y - 30 = 0. Let l(w) = -4*w - 1. Let o(p) = -2*p. Calculate b*o(h) - 2*l(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 112 + 2423?\nAnswer: 3040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-9)\/q)\/(q*(q*(q**5*q)\/q*q*q*q)\/q*q*q))**(2\/35)*(q\/q**(-2\/3))**48*(q**0)**(-27) assuming q is positive.\nAnswer: q**(552\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0.2, -1213\/17?\nAnswer: -1213\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/1089 and -101\/22990.\nAnswer: 206910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 23256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 6965.\nAnswer: 55720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -765 - -973. Calculate the least common multiple of 28 and g.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2\/3, -11, -3, 12\/11, 21?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 6*y**2 - 8*y + 11. Let v be s(9). Calculate the greatest common divisor of v and 340.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -687*k**2*n + 842*k*n wrt k?\nAnswer: -1374*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 304.7 + -305. Let z = 19.3 - 19. Let b = 7.6 + -7.2. Sort z, -4, j, b in ascending order.\nAnswer: -4, j, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4 = 2*m, -3*r = -5*r - 2*m + 16. Sort -79, r, 7 in descending order.\nAnswer: 7, r, -79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 + (2 - 10))\/(-3). Solve -15*b + 14*b - w = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 4. Suppose -s*k - 122 = -14. Let q be 6\/k + (-75)\/27. Sort -4, 0, q, 5 in descending order.\nAnswer: 5, 0, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 + 3*y**3 - y**2 - 8 - 4*y**3 - 237*y**3 + 267*y - 267*y + (-2 + 2 + 1)*(y**3 + y**3 + 0*y**3).\nAnswer: -236*y**3 - y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 0. What is the greatest common divisor of f and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 2*d - 6. Let q(s) = -s**2 - 12 - d*s + 31 + 2*s. Is 17 a factor of q(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 92, 119, 146?\n\"Answer: 27*r + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 945 and 2403.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 3*o - 49. Let j(y) = 4*y**2 - 7*y - 147. Let q(l) = 8*i(l) - 3*j(l). Let c(s) be the first derivative of q(s). Determine c(-5).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 414*a = -5*n + 417*a + 195, a = -3*n + 131. Calculate the least common multiple of n and 45.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 124 - 3?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 9540)*(6 - 5). Suppose -4*d - 53939 = -h. What is d rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1096.113 less than 0.16237?\nAnswer: -1095.95063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 4 + 8)*(-j + 0*j + 0*j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, o: 1, r: 2, c: 1, s: 1, d: 1}. What is prob of picking 1 o, 1 d, and 1 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1247 (base 8) in base 9?\nAnswer: -834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 626772530 + -7.\nAnswer: 626772523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.6 - -3.27. Let r = -1.6 + d. Let h = -0.0699986 + r. Round h to 7 decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 0*r + 4*r + 4*r + 2*r. Let b(j) = 27*j**2 - 68*j**2 + 10*j**2 + 24*j**2. Calculate b(w(d)).\nAnswer: -700*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2116620, 0, 1, 3 in increasing order.\nAnswer: 0, 1, 3, 2116620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -61698 divided by -3?\nAnswer: 20566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 149\/61 - 96945\/39589. Which is bigger: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - 3*u - 6. Is (3 - 276 - u)*-1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 541076 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -59, -237, -535, -953, -1491?\n\"Answer: -60*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4764411 + -4764524.00138. Let x = 113 + f. What is x rounded to four decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 1 - 5 + 72*w**3 + 48*w**3 - 8*w**3.\nAnswer: 112*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-164)\/2050)\/((-1)\/165). Which is bigger: c or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301401 = 12568*g + 201319 for g.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2245204 - 6?\nAnswer: 2245198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*c - 13 = 0, c + 9 = j + 1. Let b be (-11)\/(-3) - 2\/j. Solve -b*l + 0*h = -5*h + 21, 0 = -4*l + h - 11 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.73 - -0.73. Sort k, 1, 0.1.\nAnswer: k, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -4. Suppose 0 = c - 3*c + 4. Let z be c\/(-7) - 80\/(-84). Which is smaller: z or m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/15)\/(-2)*1?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 16 = 8*n. Solve 0 = n*h + 2 - 22 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (20\/260*13)\/((-1)\/(-53)). Calculate the highest common divisor of v and 9752.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/9*(-3 - -60). Let d(t) = 2*t - 33. Let y be d(c). Solve -m + y = 5*z, -z - 2*m - 3 = -13 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 + -11)\/((-324)\/72)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.224 - -117.776. Let o = h - 160. Let k = -40 - o. Which is the second biggest value? (a) -1\/3 (b) k (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/19, -12, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/8 of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 16*m - 31. What is j(-14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 7\/25?\nAnswer: 7\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/3845 and -106\/105.\nAnswer: 80745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 0*u - 2320 + 2318 - u. Let s(j) = -77*j - 67. Let c(g) = -6*p(g) + s(g). Find the first derivative of c(z) wrt z.\nAnswer: -71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 + 98*s - 4 - 41.\nAnswer: 98*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 + 3*i - 5*i + 2*i - 4*i.\nAnswer: -4*i*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 142.683 to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7529.\nAnswer: 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 992*b**3 + 25604*b**2 - 31672*b + 5076 = 0.\nAnswer: -27, 47\/248, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39140401 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.45 minus 99?\nAnswer: -118.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -5*v**2\/3 - 183610*v\/3 - 1685631605\/3 = 0.\nAnswer: -18361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 20 (b) -3 (c) 0.4 (d) 92563\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2259 - 2266 + 8*u + 3*u.\nAnswer: 11*u - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 159 + -155. Suppose y + 5*w = 5*y - 1052, d*y = w + 1036. What is the remainder when y is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 662 + -428. Let j = g - 137. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9d - 0?\nAnswer: -9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -13*v**2 + 5*v. Let k(i) = -14*i**2 + 6*i. Determine -4*k(m) + 5*z(m).\nAnswer: -9*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (24\/15)\/(5*7\/525) and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/7)*z\/((z**(-5\/2)*z*z)\/z) assuming z is positive.\nAnswer: z**(31\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54d244 (base 14) to base 4.\nAnswer: -22332312330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -5.7. Let c = 0.27 + i. Let u = 3.53 + c. What is u rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14664 and 140?\nAnswer: 513240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d**2 - 7227565*d + 57820456 = 0. Calculate d.\nAnswer: 8, 7227557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2555, 2552, 2537, 2510?\n\"Answer: -6*v**2 + 15*v + 2546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3463663 (base 7) in base 12?\nAnswer: 190351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*d - 3*d**2 + 63*d + 43*d - 150*d.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 3*z**2 - z + 5. Let l be r(3). Let g be -1 - 4\/(1 - l). Suppose g*s - 168 - 147 = 0. What is the greatest common divisor of 42 and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 15 = -3*d, -u - 4*u = 4*d - 11. Put u, 6, -86 in increasing order.\nAnswer: -86, u, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 5 = 2*m. Solve -2*c + 0*c = -i + 3, m*i = 2*c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1135000 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6250878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -276 - -3586\/13. Let a = 8 - 11. Sort p, 1\/2, a.\nAnswer: a, p, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**3 + 3*k**2 - 3*k. Give f(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 13*q**2 - 14*q + 6. Give m(-12).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 + 37. What is the nearest to d in 1\/5, 3, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1*sqrt(1216) - sqrt(1216) - sqrt(931)*2))**2.\nAnswer: -120*sqrt(19) + 17104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11a8cab - 6?\nAnswer: 11a8ca5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 216, 491, 876, 1371, 1976, 2691?\nAnswer: 3516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62663 = -34*c + 37025. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 423 and 544408191?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257725 = 253*z - 240*z. List the prime factors of z.\nAnswer: 5, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 340524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37000263, 74000527, 111000791, 148001055, 185001319, 222001583?\nAnswer: 259001847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*d**3 + 30*d**3 - d**2 - 2*d**2 to x*d**2 + r*d**3 + y*d + n and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (162772 - 162775 - 177*t + 59*t)*(-t**3 + 3*t**3 - 4*t**3 + (0*t**2 + t**2 + t**2)*(2*t + 3*t - 6*t)).\nAnswer: 472*t**4 + 12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-42)\/(-8) + -5 + (-30)\/(-8). Let -l*w - 10 - 2*w + 2*w**2 + 14*w = 0. What is w?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 4*p**2 - 24*p = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/98 less than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 12*n - 14*n - 2 = 0, 0 = 5*f + 3*n - 19. Find the third derivative of -2*o - 84*o**2 - 24*o**5 + 168*o**2 - 79*o**f wrt o.\nAnswer: -1440*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2. Suppose 4*n - 16 = -5*i + 23, 0 = 3*i - 3*n - 18. Let y = -97 + 119. Let u(s) = -i*s + y*s - 13*s. Give u(f(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32453 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a minute in seconds?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 4. Suppose z + 4*y = 6*z - 9, m*z - 2*y - 2 = 0. Solve 2*h = -k + 5 - 1, z*h = k + 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62684.8 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208)*-5 - sqrt(117)\/sqrt(81).\nAnswer: -61*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*(15\/9)\/5\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2, -17, -36, -55, -74, -93?\n\"Answer: -19*w + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 525 + -519. Let x(l) = l**2 + l + 1. Let i(w) = 4*w**2 + 7*w + 8. What is u*x(m) - i(m)?\nAnswer: 2*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13\/7 - 44\/35. Let a = -4.02 - -4.42. What is the smallest value in -2\/3, a, v?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = -146099 + 27815. Let c = v + 27614. What is c rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of z**6\/120 - z**5\/60 + z**4\/24 + 7*z**3\/6 - 11*z**2\/2 + 2*z. Let y(p) be the first derivative of i(p). Determine y(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1473019747, 1473019746, 1473019745, 1473019744, 1473019743?\n\"Answer: -d + 1473019748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**3 + 4 - 4*q - 4*q - 4.\nAnswer: -6*q**3 - 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + -3 + (sqrt(128) - 3*(-2 + sqrt(128) + sqrt(128))) + -5)*-1 + 3.\nAnswer: -80*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**5\/60 + 2*c**3\/3 + 4*c. Let v(n) be the second derivative of p(n). Let w(j) = 2*j**2. Determine v(w(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -15*n**2 + 258*n - 1015. Calculate d(4).\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2. Suppose -5*h + o = -275, 3*o = 5*h - 120 - 165. Let v(m) = -h*m - 329 + 329. Determine g(v(c)).\nAnswer: -2916*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-7)*q)**43*q*q*q**(-17)\/q*q\/(q*q*q**(16\/3)\/q))**(-9\/4) assuming q is positive.\nAnswer: q**(2127\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 127 + -103. Suppose -43*d + 41*d + k = 0. What is the greatest common factor of d and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -501, -998, -1495, -1992?\nAnswer: -2489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -4*m + 4*h, -70*m - 11*h - 33 = -72*m for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-14\/3)\/d*d)\/d**(-2\/19))\/(((d*d*(d\/d**(-2\/7))\/d*d)\/d)\/(d\/d**(-8))))**(-44) assuming d is positive.\nAnswer: d**(-37796\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 11*t**3 - 8*t**2 + 8*t. Let n(i) = -4*i**3 + 3*i**2 - 3*i. Let j = 56 + -53. What is j*p(z) + 8*n(z)?\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/180)\/(5*(-15)\/(-100)). Let q = 92\/135 + y. Which is the second smallest value? (a) q (b) -0.3 (c) 0.053\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 6*q**3 - 5*q**2 + 7. Let a(i) = -3*i + 28. Let z be a(11). Let p(u) = -u**3 + u**2 - 1. Determine z*p(b) - v(b).\nAnswer: -b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(-5) - 87493\/(-145).\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2091*r**3 - 6*r**2 - 684*r - 17. Let n(a) = -2090*a**3 - 7*a**2 - 685*a - 20. Let h(w) = 6*n(w) - 7*q(w). Find the second derivative of h(u) wrt u.\nAnswer: 12582*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9452511.1 * -5\nAnswer: -47262555.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 6*w - 7. Suppose w*b - 10*b = -78. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9089, 9083, 9073, 9059?\n\"Answer: -2*w**2 + 9091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 6:14 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -382 - -573. Suppose s = -4*h + 2660, 3*h + s + c = 2185. Find the common denominator of 38\/7 and (-8)\/44 - h\/88.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 8794871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 2:35 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2. Suppose -19*b + 23*b - 4 = 0. Let r(i) = -4*i**2 + 8*i - 1. Let u(v) = b*r(v) + 3*q(v). Determine u(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 3\/31 (b) 0 (c) 9 (d) -0.48 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 3\/26, 3\/4, 0.0452?\nAnswer: 0.0452","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6232.014ml?\nAnswer: 6.232014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-117)\/66 - (-48)\/176.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 5*t**2 + 5*t + 8. Let r be u(6). Suppose -3*k = -5*s + 1, 2*s + 5 = r*k + 3. Solve -m + 2*w - 1 = 4, -3*m + k*w = 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006643 - 50199?\nAnswer: -50199.006643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45615 - 45614.5. Let i = 16.9 + -16. Which is the second biggest value? (a) i (b) u (c) -0.3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a factor of 1934502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**2\/7 - 362360*f - 7609578\/7 = 0. What is f?\nAnswer: -3, 1268263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3b9 - 743a?\nAnswer: -7081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 128.33242467 and 1798?\nAnswer: 1669.66757533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 846 + 2?\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (111 - -2) + -69 + 3 + 43 + 14 + -1.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-5))\/((-5 + 4)\/35). Find the second derivative of d*n**2 + 22*n**2 - 21*n - 33*n**2 wrt n.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 8:29 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005164 rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 149 = -2*p, -6*w = -9*w - 15. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04444 and -2593?\nAnswer: -115.23292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(1*2\/70). Suppose c - f = 189. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*d - 18. Suppose -4*g = -2*z - d, z + 3 = -2*z + 5*g. Suppose -3*y = -31 + z. Calculate the least common multiple of y and 33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(2\/11)*h)*h**(-9)*(h\/h**(-2))**(-5))**(-1\/30) assuming h is positive.\nAnswer: h**(133\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 5*o + 2. Let z be x(5). Suppose -5*y + 4*v = -v - 15, 5*y + z*v = 1. Which is the third smallest value? (a) -4\/7 (b) y (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -972 divided by 3?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {u: 5, l: 8, j: 5}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**3 - s**2 - 2*s - 1. Let x(l) = l**2 - l - 4. Let p be x(2). Calculate v(p).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o**4\/2 - 19*o**3\/2 - 105*o**2\/2 - 101*o\/2 - 14 = 0.\nAnswer: -1, -7\/13, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -710207 + 212369 = 11761*j + 607696 for j.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2944800 divided by 16.\nAnswer: 184050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -267496 by -3.\nAnswer: 267496\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 32\/(-20))*5. Let s(f) = 1 - 5*f + 2 + l*f - 2. Let n be s(-1). Solve 3*y = -z - n, -6*y - 5 = z - 2*y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 60.1 * 0.1.\nAnswer: 6.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18048.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (230216\/(-24666))\/(14\/30)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64 - 59. Which is the smallest value? (a) -3 (b) 0.02 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -15. Which is the nearest to n? (a) -0.1 (b) -0.2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 = 6. Let g(d) = -d + 1. Suppose -4*l + 2 = -2*l. Let t(s) be the first derivative of -s**4\/2 + 4*s**2 - 8*s - 7. Determine l*t(r) + x*g(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*m**4*v + 2*m**2*v + 3*m*v + 89*m wrt m.\nAnswer: -168*m**2*v + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 705\/(-6) + 2 + -2. Let f = -120 - y. What is the biggest value in -5, f, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3*(6*(-2 + 1*sqrt(700)) + 0))**2.\nAnswer: -12960*sqrt(7) + 228092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.955 plus 48.807428?\nAnswer: 49.762428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.5 and -16930.\nAnswer: 76185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30257599*q**4 - 152323*q + 6 wrt q?\nAnswer: -363091188*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*sqrt(5) + 5)*5)**2.\nAnswer: -18000*sqrt(5) + 40500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k - 4. Let z be b(-7). Let d = z - 17. Suppose d = -5*x - 15, -4*f - x + 2*x + 163 = 0. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 + 4)*(2*o**5 - o**2 + o**2).\nAnswer: 16*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-6))\/((-196)\/168*(-9)\/252)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 2*l - 176. Suppose 0 = -7*u + 11*u + l. Which is smaller: -19\/2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -0.1, 2, -571, -4 in descending order.\nAnswer: 2, -0.04, -0.1, -4, -571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**5 + 1450*x**4 - 8756*x**3 + 11708*x**2 + 8754*x - 13158 = 0.\nAnswer: -731, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 93356, 93372, 93386, 93398, 93408?\n\"Answer: -x**2 + 19*x + 93338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21992 - -23531. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 20, -1.\nAnswer: -11, -1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5026950533*k**2 - 5026950533*k**2 + 2*k**3 + 2*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2a916a (base 12) to base 13\nAnswer: -1c3114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 1744?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 21*q**2 - 70*q + 45. Let x be k(-24). Let v = -30 + 50. Let f be x\/4*v\/(-3). Which is the second smallest value? (a) 14 (b) -0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 36*n**3\/7 + 97491768*n**2\/7 + 64994500*n\/7 + 1547488 = 0?\nAnswer: -2708104, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.02 + -4.98. What is the nearest to -2\/5 in -0.4, m, -8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a**2 - 29*a + 397. Calculate k(-17).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**3\/5 + 34*d**2\/5 + 126*d\/5 - 162\/5 = 0. Calculate d.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -12*d**2 - 5*d - 16. Let i(a) = 5*a**2 - a - 4. Give -5*i(y) + q(y).\nAnswer: -37*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161804537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1700.9, 5.\nAnswer: -2, 5, 1700.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 4*z + 24, -n - 13*z + 22 = -18*z. Suppose -2*k - 34*f + 39*f + 5 = 0, -4*k + 22 = n*f. Solve -4*i = k*i - 27 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0 = -5. Suppose 15 = 6*t - 3*t. Solve 0 = -4*p + z*a + 13, p - t*a = -2*p + 11 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -3. Let u(a) = -a + 5. Let h be u(-7). Suppose -8 = -5*s + h. Solve -q = b - s*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1265 + 658. Suppose 5*h - 2229 = -2*d, -297*d = -301*d + 5*h + 4383. Let i = f - d. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58576642 a multiple of 1833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30136162 is divided by 719?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -1034060*c**2. Let u(p) = p**2. Determine z(u(m)).\nAnswer: -1034060*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 261*u - 2469. Let o be v(-9). Which is bigger: o or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60 - 94. Let x = d - -56. Let s = -22.00108 + x. Round s to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 170 and 220795.\nAnswer: 7507030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 21*q - 53. Let v(s) = -16*s + 60. Let k(t) = 2*r(t) + 3*v(t). Calculate k(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6566194.\nAnswer: 2, 3283097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*r - 5*s = -6, -2*s - 4 = 0. Let t(b) = -1. Let f(v) = 16*v + 2. Let l(g) = r*t(g) + f(g). What is the derivative of l(q) wrt q?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28815 - -28813.8. Which is smaller: 1221\/2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 68 + 67 - 136 + 3*y + y. Let o(k) = -k**2. Calculate o(g(q)).\nAnswer: -16*q**2 + 8*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 30609, 61531, 92453, 123375, 154297, 185219?\n\"Answer: 30922*h - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**2\/13 - 6272*v\/13 - 1419552\/13 = 0.\nAnswer: -212, 3348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 149864.63?\nAnswer: 14986.463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, -4, -1.5, -20\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 87967*l**3 - 126*l**2 - 2*l - 357150584.\nAnswer: 263901*l**2 - 252*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -532 by 532.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus -10.4389?\nAnswer: 12.4389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 38489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 1831 + 1828 = 0. Let g(n) = 5*n - 1. Give g(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1087\/2 + -543. Let v(f) be the third derivative of 3\/8*f**4 + 5*f**2 - k*f**3 + 0 + 0*f. Differentiate v(o) with respect to o.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 46*l - 193. Determine i(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -25b3 - -80b?\nAnswer: -19a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 659042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**2 - 9 + 9)*(-3*x**2 - 4*x**3 + 3*x**2) + (-3 - 4 + 5)*(0*x**2 + 0*x**2 - x**5).\nAnswer: 22*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -21, -4, 3, 0, -5, 10 in increasing order.\nAnswer: -21, -8, -5, -4, 0, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 23*s + 164. Let h be m(30). Which is greater: h or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -333 (base 4) in base 15?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*h - 28 = 15*h + 2*o, o + 4 = 2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*q - 271*q + 1293670 = -133*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t + 32. Calculate o(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5 = -5*q - 0*q, -2*c - 10 = 0. Let t(d) be the second derivative of d**5\/20 - d**4\/4 + d**3\/2 + 2*d**2 - 3*d. What are the prime factors of t(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16264 and 5126504?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*u - 0. Is u\/3 - (-1824)\/9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58159 is divided by 9666?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(11)*2*-6)**2.\nAnswer: 14256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/72)\/(6\/9)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 23 = -2*i - 1, 5*v = i + 22. Suppose 5*r = v*r. What is the derivative of r + 2*n**3 - 4 + 3 wrt n?\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 + 17157\/(-285) + -2 + 17.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -0.15?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -19330578560 take away 9?\nAnswer: -19330578569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 at most as big as 3\/205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 1\/120*f**5 - 3\/2*f**3 + 0 + 17\/48*f**4 + 0*f - 93*f**2. Let d(v) = 0. Calculate v.\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and 181.\nAnswer: 1629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -955 and -216031373175.\nAnswer: -216031374130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 171838000 rounded to the nearest one hundred thousand?\nAnswer: 171800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 131310300 (base 5) to base 11\nAnswer: 404976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + c - 26 = 0, 0 = -5*g + 2*c + 53 - 6. Solve -3*r - g = -15 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 370a65?\nAnswer: 370a65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 8:26 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a day in hours?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5601727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1750 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -320 - 3\/2*w**2 - 4*w. Let u(t) = -2*t - 5. What is 5*b(r) - 4*u(r)?\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 108581 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1))\/z*z**0*(z**(-6)*z)\/(z*z**(-2\/5)*z*z*z*z*z) assuming z is positive.\nAnswer: z**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*s + 427 + 375 + 8*s + s.\nAnswer: -5*s + 802","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3829516?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3\/19)*b*b**(12\/7)*(b**(-4\/13)*b)\/(b*(b*b**(-17)*b*b)\/b) assuming b is positive.\nAnswer: b**(29823\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 2)*2*1. Let x be 28\/5 + r\/(-15). Suppose -x = -3*i + 3. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -777 - -791. Suppose -215 = -h*c + 205. What is the remainder when 297 is divided by c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8272*a - 8261*a - 13 + 13 + 16521*a.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 260215.24729 + 0.2469\nAnswer: 260215.49419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 times -0.02?\nAnswer: 1.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 8, 5*c + 1887136*t - 1887133*t + 1 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2191827 to the nearest integer?\nAnswer: 1480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 533 = 95. Round o to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**5 + 1676*d**4 - 93412*d**3 + 181780*d**2 - 90048*d = 0. What is d?\nAnswer: -469, 0, 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 13*l**3\/6 + 35*l**2 - 115*l. Let h be o(18). What is the greatest common factor of h and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 4*l**2 + 1. Let v = -7 - -11. Let g be m(v). Which is smaller: g or 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 + -47.8. Let y = 2.5 - 3. Let k = w + y. Is -0.2 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b**2 + 3*b**4 + 3*b**3 + 2 + b + 0*b**2 - 4*b**3 - 4*b**2 as v*b**3 + z*b + y + h*b**2 + k*b**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52552 = -19*q + 32245. What is the thousands digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of n**2\/2 - 2669. Let w(o) = 204*o**2 + 24. Let i(j) = 41*j**2 + 5. Let l(g) = 24*i(g) - 5*w(g). What is l(f(a))?\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 49, 120, 191, 262, 333?\n\"Answer: 71*m - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: Suppose -5*j = 4*y - 164, 4*j + 0*j = y - 20. Calculate the remainder when (-82)\/(-3*8\/y) is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -17*n**2. Let c(y) be the second derivative of -y**6\/360 - y**3\/3 + 5*y**2\/2 - 59*y. Let z(w) be the second derivative of c(w). Calculate s(z(a)).\nAnswer: -17*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmmlllllllllllllml.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76718697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 25*q**2 + 105*q + 11. What is r(-20)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.973635 millimeters to kilometers.\nAnswer: 0.000009973635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 81\/2 of a litre?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5704 = 539*u + 591*u + 563*u - 1445*u for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d + 24. Give q(33).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 298.64 take away -729274?\nAnswer: 729572.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**4 + 68 - 66 - 3*u**3 + u**3 to k*u**2 + t*u + h + d*u**4 + v*u**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -166, -214, -232, -202, -106, 74, 356, 758?\n\"Answer: 3*z**3 - 3*z**2 - 60*z - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 323537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kqqkk. Give prob of sequence kqk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 337324 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: b\"What is the uth term of 0, -12, -40, -90, -168, -280, -432?\n\"Answer: -u**3 - 2*u**2 + u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 22715?\nAnswer: 22713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 6:14 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -3*g + 1880. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -68, 5, 4, -2, 0, 15 in decreasing order.\nAnswer: 15, 5, 4, 0, -2, -5, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1547\/68)\/(119\/(-136))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50455 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.025744 and -4675.\nAnswer: -4675.025744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - v + 1. Let c(l) = -5*l**2 - l + 10. Let s(z) = -c(z) + 4*t(z). Suppose 52 = y - 13. Calculate the remainder when y is divided by s(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 694, 1844, 3754, 6424, 9854, 14044?\nAnswer: 18994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 13*o. Let z(h) = -2*h - 848. Calculate u(z(s)).\nAnswer: -26*s - 11024","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 4\/7, -2\/33901 in descending order.\nAnswer: 4\/7, -2\/33901, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 2\/3*x**3 + 0 - 18*x - 1\/12*x**4 + 0*x**2. What is g(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64363459579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -97, -1, 12.1, -0.14, -1\/2?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -363030436*r**3 + 427097824*r**2 wrt r?\nAnswer: -2178182616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 137*p - 2*p**2 - 280*p + 142*p - 486*p**3 to u*p + x + s*p**2 + t*p**3 and give t.\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 3*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 n when two letters picked without replacement from {r: 17, n: 3}.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -3*b + 15, b + q + 0*q = 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 35*k**2 - 34*k + 7. Let q be w(34). Let b(p) = -p + 7*p - 4*p - 3 - p. What is b(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + 4 - 4)*(1 - 1 - 2)*(-2*s + 4*s + 2*s).\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 15*w**2 - w + 14. What is u(15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1879, 1878, 1875, 1870, 1863, 1854?\nAnswer: 1843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2188, 13762, 45188, 106396, 207316, 357878, 568012, 847648?\nAnswer: 1206716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 1 = 61*c - 62*c, 3*c + 21 = 3*g for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 63 (base 9) to base 13\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, k: 5, o: 1}. What is prob of picking 4 k?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 425445144 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0*4\/6*57\/(-76)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31417737937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h - 1. Let l(p) be the first derivative of 27*p**2\/2 - 223*p - 156. Let y(z) = -l(z) + 4*s(z). Find the first derivative of y(b) wrt b.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4092.01 - 4092. Sort -3, 21, i in increasing order.\nAnswer: -3, i, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/1292118 and 33\/8.\nAnswer: 5168472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -16, -1168 in increasing order.\nAnswer: -1168, -16, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -1 - (-8 + 5 + 0) - -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mr when two letters picked without replacement from {t: 1, r: 1, p: 1, k: 1, m: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 7*u**2 + 9. Let v be o(-7). Let t be 5 + 3*(-6)\/v. Let h = -16 + 17. Solve t = -2*d + h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 56, 85, 114?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 683*g - 714*g - 279 = 0 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1684 by -5.\nAnswer: 1684\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, -511, 1\/3, 2 in decreasing order.\nAnswer: 2, 1\/3, -2, -6, -511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 - 43.247. Let b = 0.037 + j. What is b rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*q - 75 - 525 = 0, -786 = 5*r - 4*q. Let o be 50\/14 - 66\/r. Solve a - 5*m + 24 = 0, o = 3*a + 5*m - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/8)\/((-1)\/(-2)). Let r = x + 9. Calculate the highest common factor of 2 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 9*r - 19. Let g be p(4). Which is smaller: g or 7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 8149 + 6341. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 5*o = -16, -5*n + 6*o - 2*o - 7 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1 = o, 3*o = 153*u - 156*u + 27. Sort -4, u, 36, 6.\nAnswer: -4, u, 6, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*0.001\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00024311 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.96803869 - -0.968. Round t to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23459 or 0.2?\nAnswer: -23459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*u - 300. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + (sqrt(252)\/(2*sqrt(4)) - sqrt(63)))\/sqrt(9).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(15\/(-2)))\/((16\/(-40))\/((-92)\/1426)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 80525.45m in nanometers?\nAnswer: 80525450000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 572 is divided by 72?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 9:00 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 180*x - 180*x + 3*x**2. Let f(t) = -79*t. What is f(j(o))?\nAnswer: -237*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 - -205302?\nAnswer: 205300.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(300) + sqrt(300) + 1 + sqrt(300) + -1 - sqrt(300)))**2.\nAnswer: 19200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/8 of a day?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 50*w - 9 = -45*w, -4*l - 6 = -2*w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/70*7\/2. Suppose -73*y + 77*y + 6 = -o, -4*y = -5*o + 18. Determine j, given that n - 8\/5*j + 2\/5*j**o = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2043401 to the power of 1\/3, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (69\/(-161)*(-49)\/(-189))\/(3\/(-9))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -6*q**2 - 29*q + 56. Let p(b) = -2*b**2 - 10*b + 18. Let g = 784 - 798. Let j(u) = g*p(u) + 4*m(u). Solve j(k) = 0 for k.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y**2. Let n(u) = 9*u. Let w(h) = 3*h - 6*h + 2*h - 2*h. Let k(b) = -6*n(b) - 17*w(b). Determine c(k(f)).\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 13*t - 96 = 0. Calculate the remainder when t is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50936 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374*z + 5*r = 376*z + 37, z = -59*r + 289 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.9 + -0.5. Let c = -0.7 + 0.6. Let o = 0 - c. What is the nearest to o in -1\/6, f, 1\/2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -17*a**2 + 21*a - 51. Let c(j) = -3*j**2 + 4*j - 10. Let b(v) = 11*c(v) - 2*r(v). Determine b(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 + -110?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 10:04 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.776 from 0.4.\nAnswer: -3.376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, w: 5, f: 3}. What is prob of picking 2 q and 1 w?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.98752 rounded to two decimal places?\nAnswer: -1.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -9*v**3 + 2*v**2 - 2*v + 1. Let w be -3*(-3)\/9*1\/1. Calculate f(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90120 and 240.\nAnswer: 180240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1793 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 25*o + 57. Let q(x) = 26*x + 55. Let w(v) = 4*k(v) - 5*q(v). What is the remainder when 36 is divided by w(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.13 + 0.03. Let u = -3.9 + y. Put u, -1\/4, -3 in ascending order.\nAnswer: u, -3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*r - 3*r + 3*r)*(2*r**2 - r**2 + 0*r**2 + (-6*r - r + 3*r)*(2*r - 6*r + 0*r)).\nAnswer: -374*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) -2\/7 (c) 0.434 (d) 0.3 (e) 2.788 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -130106*y**2 - 10504 wrt y?\nAnswer: -260212*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 + 22*i - 4. Let t(d) = -d**2 - 11*d + 2. Let f(q) = -5*t(q) - 3*v(q). Let b be 49\/(-14)*2*1. Does 13 divide f(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 895198 is divided by 59?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 179985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*o + 11040 = 423*o for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*m**4 + 2*m**3 - 11*m**2 + 5733?\nAnswer: -24*m**3 + 6*m**2 - 22*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -8572, 3\/2 in decreasing order.\nAnswer: 3\/2, -0.4, -8572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 224169 and 559317.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27816794?\nAnswer: 2, 17, 197, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 + 130*l. Let f(z) = -49755 + 32*z - 8*z - 49750 + 99505. What is j(f(c))?\nAnswer: -1152*c**2 + 3120*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 10 - 2*q**2 - 8 + 3*q**2.\nAnswer: q**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50808 by -5.\nAnswer: 50808\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 7*u**2 - 7*u - 5. Let p(w) = -4*w - 1. Let a be p(-1). Suppose b - 5 = a. Let s be i(b). Solve -s*q + 22 = 5*l + 8, 2*q - 8 = -2*l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -213b75 + -21?\nAnswer: -213b96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3 + 2 + 25*h to m*h + t and give m.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-3)*(-114)\/95. Suppose -p*h - m = -2, 2 = -4*h - 3*m - 0. Let y(b) = 3*b**3 - b**2. Let l be y(h). Solve -3*a - l*a = -5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2\/15 of a minute?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7066.\nAnswer: 2, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**4*x)\/(((x**(-4\/3)\/x)\/x)\/x))**40\/(x*x**(-4)*x*x**1*x*(x\/x**(-6))\/(x**(-3\/5)\/x*x)) assuming x is positive.\nAnswer: x**(5486\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 442\/20979 or -1?\nAnswer: 442\/20979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1341 = -d - 1158. Let i = d - -12340. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -98*b**3*f**2 - 2*b**3*f - 58*b**3 - 81*b**2*f**3 - 2*f - 44 wrt f?\nAnswer: -196*b**3 - 486*b**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1506 and 251?\nAnswer: 1506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 53*x**2 - 56*x - 338. Calculate the smallest common multiple of j(-6) and 16.\nAnswer: 15248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -430, -413, -394, -373, -350, -325, -298?\n\"Answer: w**2 + 14*w - 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20971 divided by -2.\nAnswer: 20971\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 188169871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69 - -84. Solve -j + v = 4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-5)*b*(b**4*b)\/b)\/(b**(-2\/5))**(-2\/53)*(b**4\/b**(-2\/15))\/((b\/(b*b**(1\/4)*b))\/b)**(-46) assuming b is positive.\nAnswer: b**(-156427\/1590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9432 + 9437. Let k(y) be the second derivative of 2*y**2 - 1\/4*y**4 + 0 + 1\/10*y**p + 21*y + 1\/30*y**6 - 2\/3*y**3. Solve k(i) = 0 for i.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 85829111?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 - y**2 - 34*y**2)*(-3*y**2 - y**2 + 3*y**2).\nAnswer: 35*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 775747.\nAnswer: 7, 110821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 14*u**3 - 3*u**2 + 4. Let k be y(2). Solve -14*h + 34 - k = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11b4c + -3?\nAnswer: -11b52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7163879*j**2*t - j**2 + 1371*j - 4 wrt t.\nAnswer: -7163879*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 66*l - 925. Let a be d(-45). Solve 0 = -27*m + 31*m - a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 3*i - 4701. Suppose 0 = -5*w - 252 + i. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - h = -37, 2*h + 3*h - 16 = 2*s + 6*h - 40 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 4*x - 3. Let k be 4\/(-8)*(2 + 2) + -4. Calculate f(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -11, -1316, -5, 31?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_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: Let j = 6085 + -6085. Solve -7*a + 7*a - 6*a = j for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*y = 30*y - 5*j - 14, -12 = -4*y - 2*j for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 163485 + -163485.2699952. Let n = -1.655 - -1.385. Let m = w - n. What is m rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 6*b + 15\/2*b**3 + 0 - 27*b**2. Differentiate j(x) with respect to x.\nAnswer: 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*o**3*t**2 - 5*o**3 - 5*o**2*t - 5*o - t**4 wrt t.\nAnswer: 10*o**3 - 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 9:46 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(1*sqrt(10)) + -1*(sqrt(7) - -3*sqrt(7)))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(204)*-3)\/(-1*sqrt(108)))**2 + (2 + sqrt(612)*-2 + 1*(sqrt(612) + sqrt(612) + sqrt(612) + (sqrt(612) - (sqrt(612) + 1))))**2 + 5.\nAnswer: 12*sqrt(17) + 686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - n**2 + 1. Let w(k) = 7*k**3 - 20*k**2 + 3*k + 6. Calculate -6*b(y) + w(y).\nAnswer: y**3 - 14*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + 0 + (-17)\/(102\/(-36)). Solve 4*g + 8 = -j*f - 8, -3*f - 2 = -5*g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.59 and -665.332.\nAnswer: 392.54588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 984110 and 1672987.\nAnswer: 16729870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*sqrt(1584) + -1)**2*2 - (-1*sqrt(33)\/sqrt(3) + (-2*sqrt(99))\/sqrt(9) - ((sqrt(11) + 0 + sqrt(11))*-1 + 2 + sqrt(99)))**2.\nAnswer: -64*sqrt(11) + 2990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in -2\/13, -1\/566, -2\/7, 4?\nAnswer: -1\/566","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 100.6 + -101.8. Put 0.01, y, -2\/13 in increasing order.\nAnswer: y, -2\/13, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1349 - 1358. Which is the third biggest value? (a) 3 (b) 23 (c) 0.5 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -192 + 195. Suppose -v + 5 - l = 0. Solve -a + 3*b = 0, -11 = 4*a - v*a + 5*b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (212\/(-159)*81\/(-48))\/(1\/(320\/(-30)))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25060065 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: Let c(p) = -33*p - 40*p + 63*p + 7 + 6*p**2. Suppose -2*m = -k - 35, 3*m - 3*k = 50 + 7. Calculate the remainder when c(4) is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282 = 39*n + 8*n. Let w(a) = -a - 1. Let z be w(n). Solve -4*r = z*d + 22, -5*d - 4 = -3*r + r for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3337828, -3337827, -3337826, -3337825, -3337824, -3337823?\nAnswer: -3337822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 870\/27 + (-4)\/18. Let s be n\/(-20)*5\/(-1). Suppose -2*z = 2 - s. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/((-720)\/(-138)) + (-14)\/2. Let d be 4\/(-14) + 74\/14. Let m = -2.05 + 0.05. Which is the biggest value? (a) d (b) l (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.065 or -14?\nAnswer: -0.065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 6, 2, 42 in increasing order.\nAnswer: 1, 2, 4, 6, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -u**2\/2 - 1. Suppose t - 36 = 5*n, 5*t = t - n + 39. Let s(z) = -11*z - 3*z**2 + t*z. Determine y(s(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*s - 34*s + 63*s)*(-2*s + 0*s - s)*(-4 + 5*s**2 + 4).\nAnswer: -1125*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1493, -2756, -3997, -5204, -6365?\n\"Answer: 2*j**3 - j**2 - 1274*j - 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103561544 to the nearest integer?\nAnswer: 10177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -28. Let m = k + 20. Let p be 2 - -1 - (m + 7). Which is greater: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**5\/3 - 931*c**4\/3 - 64649*c**3\/3 - 91121*c**2\/3 + 83853*c - 31620 = 0.\nAnswer: -60, -3, 1\/2, 1, 527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*x - 15 = 0, 4*z - 3*x + 1 = -14. Solve z = v - 2 - 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -35*n. Let u be i(-2). Suppose -3*k + 2*k - 56 = 2*y, 4*k = -5*y - 230. Let a be (0 + 4\/3)*k\/(-8). Calculate the greatest common factor of u and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (34 - (40 - 20 - 30))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1610, 3185, 4740, 6275, 7790?\n\"Answer: -10*l**2 + 1605*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -340 in increasing order.\nAnswer: -340, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 170233 (base 9) in base 10?\nAnswer: 105168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 12. Let w(d) = 15*d + 169. Let c be w(-11). Suppose 0*v - 6 = -v. Sort v, c, x in decreasing order.\nAnswer: v, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from {v: 1, o: 1, q: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1080873 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffftfpfwpfw. Give prob of sequence ftf.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10332822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.57 minus 1658509.9?\nAnswer: -1658511.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 3.9. Let u = 0.2 - 0.4. Let m = -19 + 17. What is the second smallest value in q, u, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -325 + 342. Find the second derivative of -s*f**2 + 32*f**3 + 43 + 2*f + 33 + 5 - 28*f**3 wrt f.\nAnswer: 24*f - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 271.225 - 219. Round x to 1 dp.\nAnswer: 52.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4 = -13. Suppose 3*k = v + 6. Suppose -k*i + h = 4*h - 21, -17 = -i - 3*h. Solve -i*a = -r - 4, a - 4*a + 4*r - 4 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 = -13*t - 8 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 - 176*h**2 - 760*h + 2208.\nAnswer: 2*(h - 92)*(h - 2)*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 51.2002 and 835.\nAnswer: 42752.167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s + 35. Let d(g) be the first derivative of 24*g**2 - 461. Determine d(r(u)).\nAnswer: 96*u + 1680","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, b: 6}. Give prob of picking 1 m and 1 b.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/(f\/(f*f*((f**(-2\/9)\/f)\/f)\/f*f*f)))\/f))**(-29)\/((f*f**4)\/f*f*f**(-10\/3)) assuming f is positive.\nAnswer: f**(-334\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2359, 9211, 20625, 36601, 57139?\n\"Answer: 2281*p**2 + 9*p + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r + 2*r + 0*r + 10*r + 3*r + r + 2*r + 4*r - 4*r + r + 0 + 0 + (-4 + 5 - 3)*(-2*r - 4*r + 4*r) - 7*r + 2*r + r + (-7*r + 3*r + 2*r)*(1 - 1 - 1).\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -6*b + 2*b. Suppose 2*h = -h + b. Suppose -4962194 = -h*i - 19462194. What is i rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (40\/(-28))\/((-12)\/84). Let y be l*(581\/14 - -5). Calculate the highest common factor of y and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 4, 3, 83854?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 5:03 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 10*a = 95, 0 = 6*b - 7*b + 4*a - 45. Let d be (-16)\/(-10) + (-4)\/(-10). Put -3, d, b in decreasing order.\nAnswer: d, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 5. Suppose -4*z - 5*s = -3*z - 20, 0 = 5*s - 15. Let j be (-8)\/2 + -2 + z. Suppose 5*f - 3 = 12. Let m(q) = q - 1. Give f*m(y) + j*c(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35200 + 126759 = 17*i. Round i to the nearest 100.\nAnswer: 9500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 3*q - 74. Let w = -30 - -65. Let d = -25 + w. What is the remainder when q is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 + -15 + 29 + 15.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 230 = -100. Suppose 2*r - 5*p - 114 = r, -4*p - f = -r. Calculate the remainder when r is divided by (32\/(-10))\/(3\/(-30)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -0.3, 4514?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 6) to base 9\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 67 + 0?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 1\/3, -0.09, 36, -2 in decreasing order.\nAnswer: 36, 1\/3, -0.09, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -68985050 divided by -6898505?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -7*t + 13. Let r(a) = -4*a + 7. Let h(w) = 3*q(w) - 5*r(w). Let i be h(-4). Let z(s) = -i*s**2 + 4 - 4*s + 10*s**2 + 0*s**3 - s**3. Give z(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u. Let b(c) be the third derivative of c**8\/10080 + c**5\/20 + c**2. Let k(x) be the third derivative of b(x). Determine h(k(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 283 + 38?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - 1. Let x(b) = -b**2 - 9*b - 6. Let f be x(o). Suppose -3*u + 0*u + 16 = -y, -2*u - 5*y - f = 0. 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 jth term of 102, 296, 538, 828, 1166?\n\"Answer: 24*j**2 + 122*j - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 22 = 5*x, -7 = -5*p - 3*x - 37. Sort 3, 122, p, 4 in descending order.\nAnswer: 122, 4, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**5 - 689*m**4 + 81120*m**3 + 13841100*m**2.\nAnswer: m**2*(m - 390)**2*(m + 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 123674480 and 240?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1889304 to the power of 1\/3, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2038989 is divided by 642.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2228 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*p**2 - 33*p**2 - 33*p**2 + 97*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86 + -38. Let j = -47.7 + z. Let d = 1.97 - -0.03. What is the nearest to d in j, 0.5, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-44)\/(-30))\/((-28)\/(-126)) + -6. Let h = -2 - -1.8. Sort -1\/7, -3\/5, w, h in decreasing order.\nAnswer: w, -1\/7, h, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nydtdimm. Give prob of sequence dy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -9*g + 3. Let h be x(0). Solve -i + 22 = -4*o, h*o - 2*i + 24 = -o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 254955 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 = 6*x - 29*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j*k**4 - j*k**3 - 219*j*k**2 - 2*j*k - j - k**4 - 770*k**3 - k**2 wrt k?\nAnswer: -48*j*k - 6*j - 24*k - 4620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4734972 greater than 4734970?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 35 = 5*u, -37 = -5*u - 4*r - 3. Suppose 4*l + 2 = -u. What is the closest to l in -4, -1\/3, 1\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82458, -82395, -82308, -82191, -82038, -81843, -81600?\nAnswer: -81303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 + 2*f - 1. Let p be g(-2). Suppose 6*b - 153 = -3*v + p*b, 3*b = v - 71. Calculate the highest common divisor of 21 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -333*a + 337*a + 122*a**2 - 1 + 95*a**2 + (a - 2*a + 0*a)*(2*a + 2 - 2) - a**2 + 4 - 4 - 2*a**2 + 0*a**2 + 4*a**2 as x*a + o + b*a**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -138829872?\nAnswer: 1\/138829872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/36)\/((3\/(-6))\/((-63)\/(-30))).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c**2*w + 5198817*c*w**2 + 60390522*w**2 wrt c.\nAnswer: -2*c*w + 5198817*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-2)\/(-858) + 0). Let u = 8149\/19 - j. Let l = -438 + 435. Which is the nearest to -0.1? (a) l (b) 1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -26. Put -0.4, f, 1\/4, 0.3 in ascending order.\nAnswer: -0.4, 1\/4, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5755.\nAnswer: 5, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -633 and -8232\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 34688, 34686, 34684, 34682, 34680?\n\"Answer: -2*p + 34690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 507796.2 nanograms in kilograms?\nAnswer: 0.0000005077962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 - 110 = -13*s. Let i(m) = -1 + 4 + 0*m**2 - 12*m + 2*m**2. Let q be i(s). Solve q*p - 4 = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 3:35 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*q + 123, -2*s + 7*s = q - 59. Let o = -64 + q. Solve 3*t - 5*z = 8, -2*t + 3 = -o*t - z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -w - 3*w - 164, -w - s = 31. What is the least common multiple of 16 and 3\/18*-2 + w\/(-27)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38037*w**2 - 3 + 1 - 37118*w**2 + 2.\nAnswer: 919*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9488 and 14619822?\nAnswer: 116958576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4087 - 4069. Which is the biggest value? (a) v (b) -1\/3 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m + m - 285554 + 1225232. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90279 is divided by 182.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 438?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004828 to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 24104164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5126079.\nAnswer: 3, 7, 23, 10613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 3*h + 2. Let q be k(5). Let v(c) = q*c**3 + 1 + c**2 - c**2 + 0*c**2 - 2*c. Give v(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.1 + -17. Let n = -5 - z. Which is the second biggest value? (a) n (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2265.093 + 5151?\nAnswer: 2885.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 2706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*q + 0)*(0*q**3 - q**3 + 3*q**3) + (152*q - 152*q + 36*q**2)*(-q**2 + 2*q**2 + q**2).\nAnswer: 76*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (-4)\/(2\/1). Let b be (-1)\/(4 - 4 - 1). Put v, b, -5 in descending order.\nAnswer: b, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence joj when three letters picked without replacement from oojbojjojojjbjjjjeww.\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 3*o + 575. Let i = o + -104. Solve 5*s = -i - 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(17) + -5*sqrt(17))*1.\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + -5 - -3) + (-932 - -939) - (1 - -58).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -304 (base 6) to base 10\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - g + 3*g)*(-3 - 4 + 3)*(5 + 0 - 4).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2492 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 16. Let q be u\/(-28) - (-60)\/14. Solve a + a + q = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00030863033 rounded to 5 dps?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 - 390*p + 12675.\nAnswer: 3*(p - 65)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 198*z + 202*z - 20 = 0, 11 = q + 4*z. Let b(f) be the third derivative of 0 - 1\/24*f**4 + 0*f + 2*f**3 + q*f**2. Determine b(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5143 + -5138. Which is the smallest value? (a) 1 (b) j (c) -19\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 6 + 56 = 0. Let d be 12\/l*30\/12. Sort d, -5, 1.\nAnswer: -5, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -699*c - 60 = -694*c - 5*o, c + o = 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 15*j**2 + 162*j - 2063. Let g be o(14). Solve g*s - 84 = -5*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8564820 and 13660?\nAnswer: 8564820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22234656, -22234657, -22234658, -22234659, -22234660, -22234661?\nAnswer: -22234662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140, 123, 106, 89?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27088 and 239166724?\nAnswer: 6772","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -67430*z. Let i(t) = 3*t**2 - 23*t. What is i(j(o))?\nAnswer: 13640414700*o**2 + 1550890*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 6:24 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1207 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 4:33 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 0*s. Suppose -x = -s*x - 3. Let j be 8\/12*x - 0. Calculate the highest common factor of 5 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -554 - -553. Put h, 5, 2, -12 in increasing order.\nAnswer: -12, h, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1153, -1155, -1167, -1195, -1245, -1323?\nAnswer: -1435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*x = 92*x - 141*x + 4160 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x + 30. Let s be g(-15). Which is bigger: 2\/307 or s?\nAnswer: 2\/307","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*((sqrt(5616)*1 - sqrt(5616)) + sqrt(5616)) - sqrt(5616))\/(sqrt(108) + 1*sqrt(108) + 2*sqrt(75)))**2.\nAnswer: 16848\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/6*(-12)\/(-26). Suppose 5*i + 10 = -5*h, 3*i - 30 = -h + 4*h. Let y be (-3)\/h*24 + -4*1. Which is the nearest to 0? (a) y (b) n (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5193, -10377, -15585, -20817, -26073, -31353, -36657?\n\"Answer: -12*f**2 - 5148*f - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -232605 (base 8) to base 5\nAnswer: -10013422","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3 + (3*sqrt(1900) + 0 - sqrt(1900) - (-2 + sqrt(1900)*2 - sqrt(1900)))**2)*-2.\nAnswer: -3792 - 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-21)\/((-756)\/90)*(-172)\/10. Let p(r) = r**2 - r - 6. Let u be p(0). Sort u, b, 2 in descending order.\nAnswer: 2, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/5, 314, 3, 7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**4 - 20835*g**3 - 83304*g**2 - 83292*g = 0?\nAnswer: -6941, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**2 + 0*h**2 - 485 + 4*h**2 + 66*h + 1678*h**4 - 61*h - 328 wrt h?\nAnswer: 20136*h**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**4\/4 - 7*p**3\/2 - 417*p**2 - p - 833. Differentiate c(n) wrt n.\nAnswer: 6*n - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70206498?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - 6*d**2 + 3*d**2)*(-5259*d - 2 - 3006*d - 6 + 8).\nAnswer: 8265*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v + 4 = -26*v. Let s(u) = 4*u**2 + u - 4. Calculate the lowest common multiple of s(v) and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b - 1. Let n be m(-2). Suppose 0 = n*s - 16 - 64. Round s to 0 decimal places.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/2)\/(-9)*(-744)\/(-992).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 31 = j + j, 4*b = -20. Calculate the remainder when 48 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**2 - 476362*k + 56730188761 = 0 for k.\nAnswer: 238181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 25*v**4\/2 + 15*v**3 + 5*v**2 - 2. Factor w(x).\nAnswer: 5*x*(2*x + 1)*(5*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 5*t**3 + 45*t**2 - 50*t = 0?\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1138461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxx. Give prob of picking 3 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 25*v**5\/2 + 595*v**4\/2 + 1587*v**3 - 2542*v**2 - 3844*v = 0?\nAnswer: -62\/5, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26.6 - 27.372. Round z to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w**2 - 2*w + 13*w**2 + 29*w**2 - 9*w**2 - w**2 as x + k*w**2 + l*w and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 5:00 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4041*z + 1. Let d(r) = -150*r + 35*r + r**2 + 115*r. Calculate d(u(l)).\nAnswer: 16329681*l**2 - 8082*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 14. Let a be (12 + -14)*(-1 - 0). Solve 2*y = w*v - 0*v + 1, 4*v - a*y = -4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 69, 71, 73, 75, 77, 79?\n\"Answer: 2*v + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3039 (base 14) to base 5.\nAnswer: 231113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-132)\/(-28) - (-24)\/84. Sort v, -1, -17 in decreasing order.\nAnswer: v, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(6)\/sqrt(2))**2 + -3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5 - 10*o + 1 + 4 + 12. Let a be i(2). Solve -z = -a*h - 5, 3*h - 4 = 7*h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63.6 - -64. What is the nearest to -1\/2 in l, 8, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**3 + 3*i**2 + 6*i + 6. Let h be (-10 + (-224)\/(-21))*(-4 - -1). Determine k(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11150000 rounded to the nearest one hundred thousand?\nAnswer: 11200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*h - 2. Let p be h + (3 + 1 - 8). Suppose -3*d - 4*w + 269 = 0, p = w + 2*w - 15. What are the prime factors of d?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3, 22, -91\/12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 5*h - 8*m - 21, -5*h = 2*m - 11. Suppose -d - 2*d = -h. What are the prime factors of 2 + 14 - -1*d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -v**3\/3 - v**2\/2 + v + 9. Let t be c(-3). Sort -3, -2, t in decreasing order.\nAnswer: -2, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.001 + -6.368. Let b = 0.047 + u. Let z = b + -0.08. What is z rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -2.99. Let o = -289 - -289. Which is bigger: o or k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jyyjjyy. What is prob of sequence jyyy?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhh. Give prob of picking 2 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4 + (sqrt(567) + 0 + -5 + sqrt(567))*4 + 5)**2 + 0.\nAnswer: -1440*sqrt(7) + 36388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 280660 and 0.5?\nAnswer: 280659.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 401730175 to the power of 1\/4, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 2. Let y(o) = o**2 - o - 2. Calculate the remainder when s(6) is divided by y(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-5)*14\/7\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 22, 0, -30, -68, -114, -168?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(x - x - x)*(4310*x - 3168*x + 4003*x).\nAnswer: 10290*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*b**2 + 1373202 - 1373202 - 11*b**2.\nAnswer: -44*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -18. Let p(x) = 3 + 2*x**3 - x**2 - 2*x - k - 2. What is the remainder when 26 is divided by p(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1034 and 1034.\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 - 62*l + 14. Let u be h(31). Let d be -5*(4\/30 + u\/21). Which is the nearest to -8? (a) 2\/17 (b) d (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 51243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (93\/(-10))\/(108\/(-660)). Let l = b - 57. Let s = -12.9 + 13. What is the biggest value in l, 1\/7, s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**2\/2 - 1445*a\/2 + 10605 = 0. What is a?\nAnswer: -303, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u - 3. What is a(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**5\/5 - 5044*p**4\/5 - 135044*p**3\/5 - 156704*p**2 - 44530*p + 948100 = 0.\nAnswer: -2495, -19, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 4:23 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 plus -73?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 7*k - 1. Let w = 247 - 246. Give d(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 3*p**5\/10 - p**4\/12 + p**3\/3 - p**2\/2 - 3*p. Let y be v(1). Let n = y + -4. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 3 - 3)*(-2 + 1 + 6)*(-3*m + 0*m + m)*(114 - 221 + 112) to the form d + h*m and give h.\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2624467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v + 3. Is y(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.5, 1.96, 1\/3, 2.\nAnswer: -0.5, 1\/3, 0.5, 1.96, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6524148 to three dps.\nAnswer: -0.652","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2001 = -30*l + 34*l - 73*l. What is the highest common factor of 9019 and l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -15*o**4\/8 + 115*o**2. Let p(w) = -w. Calculate m(q) - 36*p(q).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffvcvcfuffcufvc. Give prob of sequence ufuf.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/5 + 2252*u\/5 + 2242.\nAnswer: 2*(u + 5)*(u + 1121)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1081\/6 - -182. Find the common denominator of n and 81\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1253384979 divided by 59684999.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + b**3 + 0*b + 15*b**2 + 1 - 16*b**2. Let r(o) = -o**3 + 2*o**2 - 2*o - 2. Calculate 2*n(d) + r(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 231269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 616711*z - 2466826*z + 616708*z + 616705*z + 616722*z.\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h. Let u(i) = -9*i. Let g(a) = 5*r(a) - 2*u(a). Let n(t) be the first derivative of -7*t**2 - 2 - t**3 - 67 + 7*t**2. What is g(n(p))?\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 14 + 82)*(-2*s + 2*s**5 + 2*s).\nAnswer: 176*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31423006 bigger than 31423006?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5149, 4, 5, 2, 3, 6 in decreasing order.\nAnswer: 5149, 6, 5, 4, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 403240, -5\/4, 4?\nAnswer: 403240","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -91472956?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 49 = 4*o, -4*o + k + 44 = -3*k. Let n(b) = -b**3 + o*b + 10*b**3 - 10*b**3 - 4*b**2. Give n(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-2 - -3) - -6. Solve -3*w**h + 2*w**2 - 4*w**2 - 4*w + 5*w**3 = 0 for w.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 13*z - 1 = 18*z, 0 = -2*k + 3*z - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**5 - 18*x**4 + 39*x**3 - 36*x**2 + 12*x.\nAnswer: 3*x*(x - 2)**2*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3612 + -1731. Calculate the greatest common divisor of n and 297.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 8:32 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1937 is divided by 97.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -213.8 + 213.799996486. Round g to seven dps.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35908 - -106604\/3. Let t = -373 - i. What is the closest to -0.2 in -0.3, t, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 2 = 0, -928*g + 932*g + s = 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/13 (b) 1\/4 (c) -3 (d) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 862691 (base 10) to base 8.\nAnswer: 3224743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 3207 = a + 3223, -26 = 2*t + 5*a for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7116 divided by 86\nAnswer: -3558\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a week in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 5. Let x be h(-4). Let t be 4\/10 - 8\/(-30). Which is smaller: t or x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -i - 11, -2862*i + 1 + 7 = -2866*i - 2*m for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and 606?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of k**5\/10 - k**4\/6 - 3*k**3 + 9*k**2 + 7*k. Find o, given that q(o) = 0.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.101 + -0.701. Which is the fourth smallest value? (a) 3 (b) g (c) 0.03 (d) -1 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 638 and 1172?\nAnswer: 373868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/16 and -73\/60?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (66\/(-55))\/((-14)\/35). Is k < 66\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9260 by 44.\nAnswer: -2315\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 255 divide 585367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26666108*m**4 + 10046*m + 422 wrt m.\nAnswer: -319993296*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 30. Suppose 214 - 816 = -43*f. What is the highest common divisor of s and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8381, -5, 1986.\nAnswer: -5, 5, 1986, 8381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -415029 or -415028?\nAnswer: -415029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/1040 and -119\/72.\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3578 rounded to the nearest 100?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1511 = 23*d - 5458. What is the remainder when d is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c - v = 15, 292*c + 14 = 294*c - 3*v for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -77010 at least as big as -77012?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.05 - -0.45. What is the nearest to -2 in 3\/5, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 972935?\nAnswer: 5, 31, 6277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**1)\/y*y)\/y)**0\/(y*y\/(y\/((y*y**(2\/5)\/y)\/y)))**(-1\/4))**(-35) assuming y is positive.\nAnswer: y**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66 by 22.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 406331966 a multiple of 2446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 + 1945*j - 3886.\nAnswer: -(j - 1943)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 + 36*n**3 + 103*n**3 - n**2.\nAnswer: 139*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 2. What are the prime factors of 2\/(-1) - (-10 + i)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a - 179 + 12*a + 179 - 17*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l\/(l\/(l\/l**(-2\/7))*l))))\/l**(-1) assuming l is positive.\nAnswer: l**(9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1338906.6 months in decades?\nAnswer: 11157.555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4 + 18504*p**3 + 42744204*p**2 - 256965048*p + 385697538.\nAnswer: 2*(p - 3)**2*(p + 4629)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 5. Suppose t - 3*m - 51 = -c*t, 3*m - 61 = -4*t. Solve h + 2*h + 4 = 2*p, h - t = 5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5)*n\/n**(4\/7))\/(((n**(-3)\/n)\/n)\/n*(n**(-6)*n)\/n*n*n)*(n*(n\/n**1)\/n)**(-15)\/(n**1)**49 assuming n is positive.\nAnswer: n**(-305\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, e: 3, q: 1, s: 1, o: 3, g: 2}. Give prob of picking 2 g and 2 e.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 not equal to -1\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4*-6*6*sqrt(35)\/sqrt(63))**2.\nAnswer: 11522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -109144353*n**2*r - 20*n*r - 21*n + 3*r - 1845 wrt n.\nAnswer: -218288706*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l - 11. Let q(k) = k**3 + 8*k**2 + 9*k - 6. Let p be q(-7). What is the tens digit of c(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23426, -17, 0, 2 in decreasing order.\nAnswer: 2, 0, -17, -23426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 613536281.\nAnswer: 227, 2702803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186\/(-992)*28\/(-3)*(-12)\/1.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/(66\/4) + 71\/3. Calculate the greatest common factor of 736 and i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 107 - 50. Suppose -h - t = 2*t - f, -h - 2*t = -52. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f + 0*f = -242. Let j = 131 + f. List the prime factors of j.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(-5))\/((-3)\/15). What is the tens digit of (4\/(d\/(-6)))\/1 + 101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/((-6)\/(-98)))\/1. Let g(m) = 20*m**3 - m**2 + 1. Let y be g(-1). Let r = y - s. What is the remainder when r is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3656 = -1400. Let c = -190 + f. List the prime factors of c.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -112*n**6 - 83*n**5 + 7*n**3 + 68*n**2 - 3235*n?\nAnswer: -13440*n**3 - 4980*n**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*p**3*w - 2*p**3 + p**2*w - 6*p**2 + 1218*p*w - 7*p - 6*w + 76 wrt w.\nAnswer: -9*p**3 + p**2 + 1218*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237557 is divided by 784?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j + 2. Let k be o(0). Let i(g) = -4*g**k - 2*g + 2 + 6*g**2 + 0. Let t be 2\/2 + (-8)\/24*-12. Let a(p) = 4*p**2 - 5*p + 5. What is t*i(r) - 2*a(r)?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 1\/2, -5562 in ascending order.\nAnswer: -5562, 0.06, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-40)\/(6400\/240))\/((1\/1)\/35)\nAnswer: -105\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(130))\/(sqrt(250)*1).\nAnswer: -sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/((-21)\/2) + (27750\/1008)\/37. Let f(z) be the second derivative of -2*z**3 + z**2 + 26*z + d*z**4 + 0. Factor f(u).\nAnswer: (u - 2)*(11*u - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102110102210022 (base 3) to base 7.\nAnswer: 102524654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2 - 10*s + 3. Let k be j(-6). Let o be ((-3)\/2)\/(k\/(-84)). Calculate the lowest common multiple of (-3)\/21 - (0 + 44\/o) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*f - 2685 = 26*f for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 432?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -99 - -141. Suppose -2*l = -6 - 20. What is the remainder when l is divided by h\/8 - (-1)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2080 = u. Suppose 0 = 2*z + 4*k - 522, -3*k + u = z + z. Suppose -5*w - y + z = 0, 0 = -0*w - w + 4*y + 43. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*q = -2*q + 181, 4*x - 184 = 4*q. Solve -x = 5*s - 30 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 4*n - 12, 3*v - 14 = -3*n - 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**3 + c**3 - 5*c**3 + 2*c**3 + c**3 - 4*c**3 + (-6*c + c - c)*(39 - 39 + 5*c**2).\nAnswer: -33*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.4, 86, 46, -0.4 in ascending order.\nAnswer: -0.4, 0.4, 2, 46, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1603 is divided by 62.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/2)\/(8*(-27)\/36).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pexeeeexxeeiewexixwe. What is prob of picking 1 p and 2 x?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21\/49717 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12264945 and 73589670.\nAnswer: 73589670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 i when three letters picked without replacement from rrrprqqqqprqrpqir.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**2 - 11*z**2 + 50*z**2 - 27*z**2.\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 84.9 - 85.2. Which is the second smallest value? (a) 0.1 (b) 720 (c) -2 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 114) + -209 + (76 - -145)\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 164 plus -0.15?\nAnswer: 163.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 2*g - 7*g - 106435, 4*g + 63858 = 3*w. Suppose 2*l - w = -3*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-18))\/((-9)\/((-81)\/(-6)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 541 - 541. Let v be (1\/2)\/((-3)\/(-126)). Solve 5*k + 0*m = -3*m - v, 3*k + m + 11 = d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/259 + 39\/259. Let r(u) = -2*u**2 + 60*u + 1. Let m be r(30). Let o = -1 + 1. What is the nearest to o in b, m, 3\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29805 and 55636?\nAnswer: 834540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + 4*c - 22, 46814*q - 46818*q + 5*c + 44 = 0 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-286)\/77)\/(4992\/61824).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**2 - 14*j - 21*j + 21*j in the form u*j**2 + r + n*j and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - -46369*1 - (-46 + 49) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 102861420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u**3 - 100*u**2 + 232*u - 160 = 0. What is u?\nAnswer: 4\/3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54736\/7 - -7820. What is the closest to -0.06 in 4, 0.5, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 9) + (34 - (23 - -13)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470*f = 497*f - 15290 - 4050 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*c + 4*c**3 + 10*c)*(2229 - 12*c + 34*c - 2230).\nAnswer: 88*c**4 - 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/4*3\/7. Let k = -20.5 - -24.5. Put 0.2, s, k in descending order.\nAnswer: k, s, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 l, and 1 p when four letters picked without replacement from {l: 4, p: 1, t: 3, s: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1899.08145ns?\nAnswer: 0.000000000003140015625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k + 1434 - 5458 + 1341 + 1343 + 1340 - 4*k.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 40680 = -2*x - 2*l, -20340 = x - 5*l. Round x to the nearest 1000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (186\/8 - -2)\/2 and -43\/44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 12*w**2 + w + 2. Let g be c(-12). Let y = g - -10. What is the second derivative of y*u - 10*u**4 - 7*u**4 - 5*u + 4*u wrt u?\nAnswer: -204*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504)\/(sqrt(8)*-1))\/(5*sqrt(18)\/sqrt(2) + sqrt(9)))**2.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -7 + (-6 - -55 - -10) + 7 + -2?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p**2 - 4*p - 7. Let g(b) = b**2 - b - 2. Determine 18*g(j) - 4*r(j).\nAnswer: -2*j**2 - 2*j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or 1\/893?\nAnswer: 1\/893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewjw when four letters picked without replacement from {w: 2, j: 1, f: 1, e: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 7:28 PM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 - 10 - -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3)*w\/w**(-1)*(w**(-2\/7))**(-1\/33) assuming w is positive.\nAnswer: w**(-229\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2183 divide 121314067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -378 by -6.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 49 + 71 = 72 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ieoefvz. What is prob of sequence io?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 426 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 252*r + 454 with respect to r.\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 104?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4379943, 8759629, 13139315, 17519001?\n\"Answer: 4379686*q + 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 5:43 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -608 by 76.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51 - -0.19.\nAnswer: -50.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -o**2\/2 + o + 4. Let u(k) = -2*k + 30. Let a be u(12). Give l(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 7:01 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*w**2 + 4 - 6*w**5 + 5*w**5 - 4 wrt w.\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l**3 - 3*l**2 + 4. Let o(b) = 9*b**3 - 6*b**2 + b + 9. What is -2*o(p) + 5*y(p)?\nAnswer: 2*p**3 - 3*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 w when three letters picked without replacement from {v: 13, w: 3, m: 4}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 953 is divided by 63?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n + 2 - 5*n + 5*n. Let g be c(11). Suppose 2*h - 5 = 5*b, 3*h = 2*h - 4*b + g. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-2*sqrt(68) - (sqrt(68) - ((-5*(sqrt(68) + 0) - sqrt(68)) + sqrt(68)) - sqrt(68))) + 2)**2.\nAnswer: -8*sqrt(17) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b**3 - 6*b**3 + b**3 - 5*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 842240 a multiple of 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4869 is divided by 2432.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**2*c)\/c)\/(c\/(c*c\/(c*c**3))))\/(c**(-4)*c*(c**6*c)\/c*c*c*c))**(3\/26) assuming c is positive.\nAnswer: c**(-21\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 25\/8 of a micrometer?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 136 and 952?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u**3 - u**2 + 1. Let n(w) = -2*w + 2. Let q be n(2). Let c be q\/(-13) - 480\/(-260). Let y be x(c). What is y rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 14 = 4*z, 0*a - 10 = 3*a - 4*z for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5*r + 52. Give p(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -663, -1401, -2225, -3135, -4131, -5213?\nAnswer: -6381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/10134 and -7\/59678.\nAnswer: 537102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -3. Let a(s) = 4299999*s - 7. Let p(h) = -4299999*h + 6. Let r(n) = 5*a(n) + 6*p(n). Let b be r(z). Round b to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**3 - 3*f**2 - 2*f + 7. Determine r(-3).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2634 + 10633\/4. Find the common denominator of u and 218\/3*1\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2251.23 and -4514.\nAnswer: -6765.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 10 - 4. Suppose 2*m - z = 2*v - 1, -2*v = m. Suppose -3*p + 25 = m*p. Solve 0*r = -r + p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1*5\/20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 61, 63, 67, 73, 81?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119463270 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**5 - 85554*h**4 + 1828759148*h**3 + 47594632520*h**2 + 234352272000*h + 292957456000 = 0.\nAnswer: -20, -4, -2, 42790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 45 = 2*w. Suppose w = -2*k - k, -4*p - k + 3 = 0. Let g = 0.15585 + -1.15585. Which is the closest to -1? (a) 2\/3 (b) g (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 5297*w + 2457802. Calculate n(-464).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 10:17 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/56*24\/4*64\/(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + o**2 + o - 2. Let b be q(-2). Let f be (-2 + 0\/(-2))\/b. Let 5*m - 2 - 9\/2*m**2 + 7\/4*m**3 - f*m**4 = 0. What is m?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1088031 and 1600881.\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82956374 to the nearest integer?\nAnswer: 9108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 252\/(-54)*216\/(-14). Suppose c - 17 - 1 = 0. What is the highest common divisor of i and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1520763478 to the power of 1\/3, to the nearest integer?\nAnswer: 1150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-18) - 259\/9. Let h = -17 - d. Suppose -2*n - 2*n = h. Sort 4, 0, n.\nAnswer: n, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 11:53 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -754*z**2 + 1497*z**2 - 752*z**2.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/2915209 and 59\/6018496.\nAnswer: 186573376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 7395 = -l, 12*o = 8*o - 4*l + 5940. Is 37 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g + 34 = 12*q - 16*g, 4*g + 2 = -2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 4:11 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, t: 8, d: 2, b: 4}. What is prob of sequence dvvd?\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 8*x**2 + 6*x + 21. Suppose -4*b = 4*r - 2*b - 28, -3*r = 3*b - 15. Let q be n(r). Let j(d) = -d**2 - 4*d + 1. Calculate j(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -35.\nAnswer: -9\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2680350 > 2680349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 5*t**2 + 4*t + 3. Let f be x(4). Let r(p) = -p**3 + 4*p**2 - p - 1. Let d be r(f). Let w(m) = -m - d*m + m. Give w(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 7 = -11. Is ((-8)\/10)\/(y\/135) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1090, 3.4, -2, 11 in descending order.\nAnswer: 1090, 11, 3.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - p + 1. Suppose 8*h - 11*h - 3 = 0. Let x(y) = -6*y**2 - 2*y + 2. Determine h*x(t) + 2*r(t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3372, -5\/3, 4, -1\/407 in ascending order.\nAnswer: -5\/3, -0.3372, -1\/407, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 222339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7392, -62069, -210490, -499527, -976052, -1686937, -2679054?\nAnswer: -3999275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.11 - 4.89. Let f = k + 5. Suppose -5*q - 3*r = 1, -2*q - 7 = -0*q - r. Which is the second smallest value? (a) q (b) -0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -616 and 4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 224 and 576.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**2\/j))\/j*(j\/(j**(-6\/11)*j*j)*j)\/j)**(14\/9) assuming j is positive.\nAnswer: j**(-224\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 49752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -83 + 223. Suppose -3*b = -5*r + 4, -3*b + 2*r + 4 - 2 = 0. Suppose w - 5 = -5*c - z, -c - 16 = -b*z. Is c less than or equal to -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 528 divide 6462600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6986, -13976, -20980, -28004, -35054?\nAnswer: -42136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3572 and 6901292.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-4) + 0 - -1. Factor -8\/5 - 48\/5*d - 14*d**t.\nAnswer: -2*(5*d + 2)*(7*d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 121*d + 6. Let q be 3 - 1*(4 + -5). Let t be z(q). Suppose k + 2*x = -k + t, k - 4*x = 245. List the prime factors of k.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.5, 4\/7 in decreasing order.\nAnswer: 2, 4\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 902916446 to the nearest integer?\nAnswer: 30049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/262?\nAnswer: -1\/262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -8, -1160, -120 in descending order.\nAnswer: 4, -8, -120, -1160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -1 - 4) + 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.46 - 0.06. Is -26 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2078775.8 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pperpeppa. What is prob of picking 1 p and 1 a?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - d + 5 = -3*d, t + d = 2. Solve 0*f - t*f = -3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*s - 179*s = -16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1296 divided by 24?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1279 = 4*x, 4*o + 0*x - 5016 = -4*x. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.65 rounded to 0 dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z\/(z*(z**(-2\/3)\/z*z)\/z))\/z)\/z)\/z*z**(-3)\/z*z**(1\/4)*z**(1\/2) assuming z is positive.\nAnswer: z**(-43\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18487333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/69090 and 101\/64680.\nAnswer: 3039960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3372, 13806, 31194, 55536, 86832, 125082, 170286?\n\"Answer: 3477*n**2 + 3*n - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 12 = -2*b, 5*b - 22 = -y - 0*y. Find the third derivative of 6*w**2 + 7*w**2 + 2*w**b - w**2 + 5*w**2 wrt w.\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + w**2 + 5. Let y be i(0). Let h(t) = 6*t - 4*t + 5*t - y*t. Let p(v) = v. Give p(h(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -3*q + 6*q - 24, -3*q = -3*w - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**5\/20 + 5*c**4\/12 + 4*c**3\/3 - 2*c**2 - 3*c - 7. Give b(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.13 - -1.13. Let g = -47.3 + 47.6. Which is the nearest to s? (a) g (b) 0.8 (c) 1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1412215*l**3 - 228*l + 32*l**2 - 1412212*l**3 - 19*l**2 + 240 + 27*l**2 + 8*l**2.\nAnswer: 3*(l - 2)**2*(l + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + 0 + 53 + 3. Find the common denominator of (-2)\/(-1*(-88)\/(-146)) and ((-11)\/12)\/(2\/n).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1\/6, 4.6074, 50\/7 in ascending order.\nAnswer: -1\/6, 0, 4.6074, 50\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9205.84 - 9207.4400065. Let i = -1.4 + 3. Let u = r + i. What is u rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 2*s**2 - 5*s - 6. Let w be i(-4). What is the units digit of (-3 - -4) + -2 + w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3786 by -5.\nAnswer: -3786\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 726704 and 592?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/9, -7\/6, -88, 0.2, 1 in ascending order.\nAnswer: -88, -7\/6, 1\/9, 0.2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 76644851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20034715 (base 8) to base 4.\nAnswer: -100003213031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1444589106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*y**3 - 77*y**3 + 278*y**3 - 94*y**3.\nAnswer: 31*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1546.5 and 1432.\nAnswer: -2214588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6, 29, 50, 69, 86, 101, 114?\n\"Answer: -x**2 + 26*x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.9 + -0.9. Let t = o + -7.1. What is the nearest to t in -0.5, 0.2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*p + 530. Suppose 3*b - b - 58 = -f, -4*b = -3*f - p. What is the highest common divisor of 28 and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**3 + 64*j**2 + 374*j + 600 = 0. What is j?\nAnswer: -25, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 562\/18 + (-8)\/36 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -9*g**3 - 552*g**2 - 43645*g\/4 - 273325\/4 = 0.\nAnswer: -145\/6, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*r**4 + 165*r**2 + 16113*r wrt r?\nAnswer: -96*r**2 + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 34000 divided by -1\nAnswer: -34000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.4039319 to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4 = 0, 0 = 5*a - 3*f + 2*f - 17. Let m be 2\/(-6) - (-4)\/3. Differentiate a*h + m + h - 6*h wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -2*f**5\/45 - 11*f**4\/18 + 2*f**3 + 11*f**2\/9 - 52*f\/9 + 209. Suppose a(n) = 0. What is n?\nAnswer: -13, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 s when three letters picked without replacement from {e: 8, s: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q*q**(-2)*q*q*q**(-5)*q\/q**(-8)*q**(3\/5)*q*(q**(1\/18)\/q*(q**(-10)\/q)\/q)**(-2\/19) assuming q is positive.\nAnswer: q**(7663\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2892 is divided by 31?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, y: 3, s: 7}. Give prob of sequence yysq.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 5*w**2 - 290*w - 9315 = 0?\nAnswer: -23, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -96*y**5 - 114*y + 195*y - 96*y wrt y?\nAnswer: -1920*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 5) in base 11?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (51 + -41 - (6 + -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1848185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001686298396 rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 - 89 = 2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 10) in base 9?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.071 + 14.3291?\nAnswer: 14.4001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 7\/15, 4, -746, -1, -9 in descending order.\nAnswer: 4, 7\/15, -0.2, -1, -9, -746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3752 times 645.2\nAnswer: -2420790.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7542 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b**2 + 1 - 1)*(-2 + 8 + 5) as o*b**2 + g*b + s and give o.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.6453562 centuries?\nAnswer: 64.53562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 8:32 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 53 - 53 + 4*t**6 + 12*t**2 wrt t?\nAnswer: 480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9 - -0.1. What is the smallest value in m, 2, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 92 = -32*b - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 315253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70 - -3) + (17 + -15 - (-1 + 10)) + 9.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -3. Suppose 16 = t*d + 2*i, 0*d = -d + 5*i - 16. Calculate the greatest common divisor of 4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/4 of a meter in millimeters?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, 477, -0.49?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5727688007 rounded to four dps?\nAnswer: -0.5728","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -6*z. Let q(g) = -22307*g. Calculate q(o(h)).\nAnswer: 133842*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 391607\/33 - 11865. Let j = -231076\/27 + 8557. Find the common denominator of u and j.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 5*t**4\/4 - 160*t**3 - 32245*t**2\/4 + 71850*t - 148500 = 0.\nAnswer: -45, 4, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 71 = s, 2*s + 42 = -4*n - 32 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369510 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.25*-5\nAnswer: 1.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 156033 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 386164, 386199, 386234?\nAnswer: 386269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -686 or -655?\nAnswer: -686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b**3 - 3*b**2 - 2 + 3*b**3 + b**2 + 0*b**3 to o*b + w + x*b**2 + c*b**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -179 + -505. Let t be 152\/c - 65\/(-9). Solve t*z - 11 = -39 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2305 (base 6) to base 12\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w + 4720 = 25*w. Suppose -2*t + 4*v - w = -7*t, -v - 4 = 0. Suppose 4*s - 800 = -t. Calculate the highest common factor of s and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggaggggagag. What is prob of sequence ga?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2*((sqrt(204) - (sqrt(204) - (sqrt(204)*3 + sqrt(204)))) + sqrt(204)) + sqrt(204) + sqrt(204)))\/(-1*1*sqrt(768)).\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0960007368 and 6151.68?\nAnswer: 6151.5839992632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/3 + 32132*o**2\/3 - 139261400*o\/3 + 26757331472.\nAnswer: -2*(o - 7694)**2*(o - 678)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 600 + -601. Let u(j) = -j + 4. Let r be u(4). Let h = 4 - r. What is the closest to 2 in m, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i - 3*i - 3*i as d*i + l and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -126 - -382\/3. Let q = -1 + 1. Which is the nearest to -2\/7? (a) y (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22435950 to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -273 divided by 55475?\nAnswer: -39\/7925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/9)*r\/r**(-2)*(r**(-1\/5))**44*(r\/(r\/((r**(-2)*r)\/r)))**(21\/2)*(r**(3\/7)*r)\/(r*r**1) assuming r is positive.\nAnswer: r**(-8587\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9299 a factor of 763864351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 45 + -3004204?\nAnswer: -3004126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*m = -838*t + 839*t - 125, -2*t + 4 = -m for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 12*d = -11*d + 35, 46*d - 220*d - 5540 = -2*q + 11*d for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166818 is divided by 266.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188877 is divided by 202.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.9852735 - -3.88528. Let p = 2.9 + -3. Let s = k - p. Round s to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 208 and -0.300895715.\nAnswer: 207.699104285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 3*l**5 - 66*l**4 - 69*l**3 = 0.\nAnswer: -1, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*i*o**2*q - 3*i*o*q*z**2 - 2*i*q*z**3 - 2*i*z + o*q*z**3 + 3*q wrt o.\nAnswer: 6*i*o*q - 3*i*q*z**2 + q*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.79681 * -6.\nAnswer: 28.78086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a millennium in years?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -5 (c) 4 (d) -1462 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - l**2 - l + 3. Let i be o(0). Let w be (-2 - 0) + 7 - i. Suppose -w = 3*x - 8. Solve -3 = j - x for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of 3*y**5\/20 - y**4\/3 - 5*y**3\/2 + 131*y**2. What is the remainder when 183 is divided by r(-2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 17, -2, 5, -0.1 in decreasing order.\nAnswer: 17, 5, -0.1, -1\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/26364 and -15\/16.\nAnswer: 105456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -508\/195 + -4\/65. Let h = p - 35\/24. Let w = 233\/2 + -1133\/10. What is the common denominator of h and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -735, -2982, -6735, -12000, -18783, -27090, -36927?\n\"Answer: -a**3 - 747*a**2 + a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.1 + 6.1. What is the third biggest value in -1\/4, 0.3, 3, z?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -da49 (base 16) in base 11?\nAnswer: -38a91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 156 + -5?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.4 + -2.4. Suppose 12 = -t - 2*p, -3*p - 3 = -t - 0*t. Let h be (-2)\/t + 22\/(-30). Which is the nearest to h? (a) -4 (b) -0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - -30. Let a = 42 - d. Is a + 3292\/(7 + -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1742 - -429. Let r = y + -2171.0907. Round r to three decimal places.\nAnswer: -0.091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -330\/1283?\nAnswer: -330\/1283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -5*b**2 + 47*b + 1632. Calculate q(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 734*g + 3. Suppose 109 = -7*f + 116. Is w(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5784 = -3*g + 3565, 0 = -4*g - 20. What are the prime factors of y?\nAnswer: 2, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1039\/5 - -207. Let j be 494\/(-1520) + 2\/10. Which is the closest to 0? (a) j (b) -1.4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 571.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/((-5)\/((-75)\/(-9))*(-35)\/(-2))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8*-4*(-1)\/4. What is the tens digit of (0 + 61)*(-8)\/f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2031729, 16253868, 54856815, 130030974, 253966749, 438854544, 696884763, 1040247810?\n\"Answer: 2031734*g**3 + g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -72 - 351?\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 17 = z, -3*z - 3*q - 5 = 1. Let n = -99.4 + 99. Sort n, -2\/169, -2, z in descending order.\nAnswer: -2\/169, n, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -14*k**2 - 91 + 8*k - 2*k - 131*k**2 - 11*k. Let m(r) = -72*r**2 - 2*r - 45. Let x(j) = -2*i(j) + 5*m(j). Differentiate x(q) with respect to q.\nAnswer: -140*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i - 100. Calculate f(29).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3790691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/2 + (-7)\/(-2). Suppose 16 = s + 3*w - 31, 2*s = m*w + 144. Let r be 0 - -25000*s*4. Round r to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 8:14 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6455?\nAnswer: 5, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -80280 + -269720. Round b to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.484 + 14.5. What is the closest to o in 2\/13, -1, 4, 5\/2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1007 and 4985445?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 a when two letters picked without replacement from zaaa.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 349011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-3\/28)\/p))**(-49)\/((p\/p**(-4\/35))\/p**(5\/13)) assuming p is positive.\nAnswer: p**(-189243\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.4 + -3.3. Let f = 0.32 - -0.18. Let u = b + f. Which is greater: u or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*i - 229 + 116 = 310 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (132\/(-30) - -4)*(1 - 181) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/4 of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 300*w + 45. Let f(s) = s**2 + s + 9. What is -5*f(j) + v(j)?\nAnswer: -6*j**2 + 295*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3398133*o*w**2 + 4*w**2 - 20061 wrt o.\nAnswer: 3398133*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 5 (c) 1 (d) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 561 = 4*a + 2*z, 4*a + 4*z - 576 = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y + 408 = -8*y + 133 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11865\/16 - -741. Let m = x - -1\/16. Let d = 0.8 + 0.2. Which is the nearest to d? (a) -0.3 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1128\/377 + 38\/13. Let p be -2 + (-2 - (-886)\/232). Let g = p + h. What is the biggest value in 5, g, -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/9 - 148*n\/9 + 2738\/9.\nAnswer: 2*(n - 37)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.1 - -0.9. Let r be (1 + 4)\/(1\/7). Let p be ((-2)\/r - 13\/91) + 0. What is the second biggest value in -13, x, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-5)*(a**(-2\/7)*a)\/a*(a*a**5)\/(a\/((a\/(a**(-4\/11)\/a))\/a)*a) assuming a is positive.\nAnswer: a**(6\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4081311.\nAnswer: 3, 13, 34883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21992?\nAnswer: 2, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*l**2 - 6*l**2 - 2*l - 3*l**2.\nAnswer: -l*(9*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -514.547 to the nearest integer.\nAnswer: -515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 422 + -369. Let b(a) = -4*a - 8. What is the remainder when i is divided by b(-9)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**3 + 17*o**2 + 13*o - 1. What are the prime factors of y(8)?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 3\/19, 0.2, 2, 0.024, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 720570628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 32007, 64016, 96025, 128034, 160043, 192052?\n\"Answer: 32009*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t - 90 - 372 = 0. Which is greater: -41 or t?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 5:00 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + (-60)\/(-21))\/(2\/(-14)). Let u(y) = y**3 + 6*y**2 + 3*y + 6. Let h be u(m). Which is greater: -14 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of p**10\/5040 + p**6\/72 + 2*p**3\/3 + p. Let o(c) be the second derivative of h(c). Find the third derivative of o(l) wrt l.\nAnswer: 120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w - 3 + 3)*(3 - 5 + 17)*(0*w + 2*w - w) in the form f*w + q*w**2 + l and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 2, i: 6, w: 4}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 246?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 4*o - 14, -34*r = -39*r - 4*o + 23. Solve -n - r = -6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 4)*(-7*g**3 - 2 + 2) + 7*g**3 - 5*g**3 - 4*g**3.\nAnswer: 19*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6583*g**2 + 3*g - 73742?\nAnswer: -13166*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/1022 or 0?\nAnswer: 5\/1022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -2. Let y be (10\/(-4))\/(-1)*a. Suppose k - y = -0*k. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -235.1 times -0.4?\nAnswer: 94.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + 4 + (-15)\/(-18)*799\/(-85). Let g = -49 - -243\/5. Let w be 2\/(-20)*15\/(-2). Which is the fourth smallest value? (a) t (b) -3 (c) g (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 3*f = 2*z + 32, -4 = -3*z + 4*f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0*q = -4*j + 7, 2*q + 34 = 3*j. Let h be j\/40 + (-76)\/5. Let i be -3 + h\/(-6) + 0. Does 0 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -135, -132, -125, -114?\n\"Answer: 2*b**2 - 3*b - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*q**3 - 4*q**3 + 2*q**3 - 11 + 4*q**3.\nAnswer: -9*q**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 4, a: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-20)\/112) - 60\/150\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1273*l**4 - 2*l**3 + 185*l + 37*l**5 + 1273*l**4 wrt l.\nAnswer: 740*l**3 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -359*a**3 - 143 + 9942*a**2 - 9942*a**2 wrt a?\nAnswer: -1077*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -373693.\nAnswer: 373693.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 34166868913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3539)\/10617)\/(2\/678)?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**(-50)*u**10\/u**(-4) assuming u is positive.\nAnswer: u**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4190 (base 13) to base 16\nAnswer: -2372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(1\/3)\/k*k)\/((k**(2\/19)*k)\/k)*(k**(2\/3)\/k)**(-26))**(-31) assuming k is positive.\nAnswer: k**(-5828\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17036653.\nAnswer: 1069, 15937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.5 + 0.5. Which is the third smallest value? (a) o (b) 2 (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 77*h*i*r + 3*h*r - 44*i - 5*r wrt h?\nAnswer: 77*i*r + 3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 divided by 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 925, 3713, 8367, 14887?\n\"Answer: 933*s**2 - 11*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -27*g + 68280000. Let o be k(0). What is o rounded to the nearest 1000000?\nAnswer: 68000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-156 - -178) + (10 - 0).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(10*s**4 - s**4 - s**4).\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.671 - -4.271. Suppose -7 = -2*r + 5. Let i = -14 - -19. Put i, r, -0.5, d in decreasing order.\nAnswer: r, i, d, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*h = -1 - 1, 3*n + 5*h = -18. What are the prime factors of -1 + n + (-10)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30679608 by -15339804.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand l + l + 0*l + (3*l - 4*l + 0*l)*(4 - 6 + 3) + (9*l + 8*l + 2*l)*(5 - 4 + 0).\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 202200314 - -4?\nAnswer: 202200323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 8\/5, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.11 + 5.89. What is the third biggest value in q, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 2 = -33. Suppose -5*l - 2*o + 1230 = 0, w*o - 3*o = 2*l - 478. Suppose -4*z + 3*z + l = 3*r, 0 = 3*r + 2*z - 248. Does 10 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4638, 18564, 41776, 74274, 116058, 167128?\nAnswer: 227484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6*o**2 - o + 3. Let c(y) = -12*y**2 - y + 6. Let q(p) = -7*a(p) + 3*c(p). Let w be q(3). Let f = -58 + w. Solve -h + f = -2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oe when two letters picked without replacement from owffefffwffwwfwfoee.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 952725097?\nAnswer: 59, 16147883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 72102989 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57229 + 28614 + 28615 - 2175*d to u + t*d and give t.\nAnswer: -2175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 15*q**2 + 113*q - 55. List the prime factors of p(16).\nAnswer: 7, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-3045)\/(-20))\/(-7))\/(3\/12). Let v = -120 - y. Let j = 162\/5 + v. Which is the nearest to 2? (a) 2 (b) j (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2933 + 2957. Solve 12*b + x = -12*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/312*(-1630440)\/16175\nAnswer: 42\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 4:12 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 4)*(423*f - 2 + 236*f + 0*f).\nAnswer: -659*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*j + 59*j + 2*j + 56*j + 64*j - 251*j.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 660 a factor of 88636203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 51?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 10, u: 2}. What is prob of picking 2 r?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 364 - 131. Suppose 2*y + 3*t - 5*t = 118, t = 4*y - o. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92205916 is divided by 50.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 112241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3*(-2 + sqrt(1053)))**2 + ((-4 + sqrt(1053))*-6 + sqrt(1053))*3)*3*-3.\nAnswer: -257499 + 9963*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(132) + sqrt(33)))\/(-1*sqrt(48)))**2.\nAnswer: 891\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 3 + 13 + (2 + 0 - 1)*(3 - 8 + 1))*(-2 + 1 + 2)*(-4*l**2 - 2 + l**2 + 4*l**2) in the form v*l + s + q*l**2 and give s.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 71696905507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 303 + -183. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/36*(-9)\/6*-4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -255*s**3. Let d be l(1). Does 5 divide d\/(-25) - 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.49166 less than 3.08?\nAnswer: 3.57166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**4\/24 - m**2. Let a be t(8). Round a to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 63*s - 134*s + 15 + 69*s + (s + 1 - 1)*(-8 + 2 + 1).\nAnswer: -7*s + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y. Let u(t) = 4321*t**2 - 580. Let d(b) = -120*b**2 + 16. Let s(x) = -145*d(x) - 4*u(x). Give s(m(o)).\nAnswer: 116*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7\/(-2))\/7*-4. Factor -6*s**2 + 7 + 2*s**k + 5 + 8*s + 0.\nAnswer: -4*(s - 3)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/5 + 8\/20.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*f - 4\/7*f**2 + 4\/7*f**4 + 0 + 2\/7*f**5 + 0*f**3.\nAnswer: 2*f*(f - 1)*(f + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 57\/((-1)\/(7\/(-21))). Suppose 16*l - b = -3. Is 3\/251 >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -133 + 158. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7889 - -9804. Calculate the remainder when j is divided by 64.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/17? (a) 3\/7 (b) 0.5 (c) 4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0, -4, 6, 55, 3, 4 in increasing order.\nAnswer: -4, 0, 3, 4, 6, 7, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**5 + 1000968*k**4 + 3002886*k**3 + 3002880*k**2 + 1000959*k = 0. What is k?\nAnswer: -333653, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -814125 (base 12) in base 3?\nAnswer: -10210112211102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 4*y + 257. What are the prime factors of y?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r**2 - 3*r + 2. Let b(v) = -2*v**2 - 3*v + 2. Let z(p) = -3*a(p) + 4*b(p). Let z(g) = 0. Calculate g.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32020*l - 2294 = 15955*l + 15948*l + 1216 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3205927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i - 757. Let a(s) = 14*s - 3022. Determine 2*a(o) - 9*m(o).\nAnswer: o + 769","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (6 + 12 + -10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, i: 1, m: 9}. What is prob of picking 1 i and 1 m?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 325a2b04?\nAnswer: 325a2b04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/20*(-234)\/6*(17655\/891 - 20).\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482344151.\nAnswer: 599, 805249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5657 (b) 0.01 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 9*k**2 + 16*k + 6. Let x be j(-6). Let s = 18 + x. Let t be -6*3*(-4)\/s. Solve 0 = 2*f + 4*i + 18, 0 = -2*f - i + 2*i + t for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b = -4*m - 22*b + 22, -7 = m + 3*b. Find the second derivative of -5*q**4 - m*q**4 - 218*q - 9*q**4 + 21*q**4 - 5*q**3 - 2 - 2*q**3 wrt q.\nAnswer: -12*q**2 - 42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(325)*1)**2 + sqrt(39)\/(sqrt(24)\/(4*sqrt(8) - sqrt(8))).\nAnswer: -650 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5145 - -54?\nAnswer: -5051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -14*((-95)\/10 - -4). What is the thousands digit of 33\/f - 25558\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -113*s**5\/5 - 23*s**2\/2 + 3301*s - 1167. Find the first derivative of m(p) wrt p.\nAnswer: -452*p**3 - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -152, -298, -444, -590, -736, -882?\n\"Answer: -146*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*c - 42*c - 30*c)*(-c**2 + c**3 + 3*c**2 - 4*c - 3*c).\nAnswer: -99*c**4 - 198*c**3 + 693*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231 = 5*k - 249. Suppose 0*g = 3*g - k. Calculate the least common multiple of g and 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - x = -18 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 0*j**3 + 3 + 6*j - j + j**4 + j**3 to x*j + s*j**2 + n*j**4 + r + g*j**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.27 - 1.828. Let z = l + 0.098. Which is the third biggest value? (a) z (b) 0.4 (c) 0.5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/3 - 4\/(-6). Let z be (4 - j)*(-2 + 2). What is the units digit of (z - (-4 + -2))*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -31*t**3 + 5*t**2 + 5*t. Let h(k) = -k**3 - 5*k**2 + 20*k + 29. Let y be h(-7). Let f(b) = 78*b**3 - 13*b**2 - 13*b. Determine y*g(i) - 5*f(i).\nAnswer: 13*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 23453, 23429, 23403, 23375, 23345, 23313?\n\"Answer: -s**2 - 21*s + 23475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 8*p**2 + 31*p - 22. Give t(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -28*p**2 + 5*p. Let h = -5709 - -5704. Let b(o) = 14*o**2 - 2*o. Give h*b(w) - 2*c(w).\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 121 = 4*u + 133, -4*u = 12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5323348.687 less than -2?\nAnswer: 5323346.687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6443, 5974, 5505, 5036?\nAnswer: 4567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k + 6*k - 4*k)*((3*k**2 - 3*k**2 - k**2)*(0*k - k + 0*k) + 0*k + 25*k**3 - k - 20*k**3) to the form x*k**3 + h*k + i + p*k**4 + w*k**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 331, 433, 439, 361, 211, 1, -257?\nAnswer: -551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 3\/5197652 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**3 - 8*m**3 + 2*m**3)*(5 - 3 + 0)*(-1 + 2 + 1)*(4 + 3 - 5).\nAnswer: -80*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 935026 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 3:54 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13960357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -301233 + 1?\nAnswer: -301232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) - (sqrt(242) + 2)) + -3)**2 + ((sqrt(198)\/(sqrt(33)\/sqrt(3)))\/sqrt(9))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-6*(sqrt(1216) + -2*sqrt(1216)*-3 + -4 + 1*(4 + (sqrt(304)*-1 - sqrt(304)) + sqrt(304)) + -4))**2.\nAnswer: -374400*sqrt(19) + 46252800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5176 = 20098. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - x - 15 = 0, -2*d + 4*d + 20 = -2*x. Let m be 6\/d*(-270)\/9. Suppose 4 = 2*j - m. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-2 - (-1 + 5) - -14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rkkrrrr?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 2\/7 (c) 0 (d) 26 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01167 * -165.\nAnswer: -1.92555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1554 (base 13) in base 9?\nAnswer: -4236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 96*b**3 - 71*b**3 + 6*b**2 - 19*b**3.\nAnswer: 6*b**3 + 6*b**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkknkrrnknn. What is prob of sequence rn?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16657341647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.3 and -5.10769.\nAnswer: 16.855377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 323 - 329 = 0. Factor -15\/7*r**l + 3\/7*r + 12\/7*r**3 + 0.\nAnswer: 3*r*(r - 1)*(4*r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 8*o**3 - 13*o**2 + 6*o. Let s(p) = -3*p**3 + 4*p**2 - 2*p. Let u = 5634 - 5641. Give u*s(z) - 2*j(z).\nAnswer: 5*z**3 - 2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4*u - 15. Let l be k(-5). What is the third derivative of 3*n**4 + 0*n**4 - 6*n**2 - 4*n**6 - 1 - 95*n**l + 95*n**5 wrt n?\nAnswer: -480*n**3 + 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 8*n**2 + 2*n - 1. Let c be x(7). Let z be (48 + -3)*c\/(-15). Suppose 297*t - 294*t - 81 = 0. What is the highest common divisor of z and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p**2 + 12*p + 408. List the prime factors of z(39).\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3937718?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 4*k**2 + 4. Let s be r(5). Suppose -35 + s = -3*t. Suppose a + d - 288 = -t*a, 4*d = 4*a - 400. Is 22 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7483361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbq when three letters picked without replacement from qteeqteenbtntettn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 22 = 5*b, -2*b = 4*k - 0*k - 14 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 378.3241 millennia in decades?\nAnswer: 37832.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i + 16*i**2 - 5*i.\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00996879343 rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.0125 to two decimal places.\nAnswer: -5.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 928 + -900. Solve 5*x - h + i = 0, 7*h - 2*h = -3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372615 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2383*p - 21. Is c(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.8217669 days?\nAnswer: 71000.66016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 12, -32, -2 in ascending order.\nAnswer: -32, -2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 0*v + 1\/2*v**6 + 12 - 11*v**2 + 0*v**3 + 0*v**5 - 7\/4*v**4. What is the second derivative of p(y) wrt y?\nAnswer: 60*y**3 - 42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*y = -2 + 10, 3*n - 2*y - 20 = 0. Calculate the least common multiple of 9 and n.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4530 (base 8) to base 7\nAnswer: -6655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 36?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-8240)\/(-64)*(-2260)\/(-2825)\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33022 less than 33020?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*i - 21*i - 3*i + 78 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/5 of a century?\nAnswer: 6960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -471, -791, -1111, -1431, -1751, -2071?\nAnswer: -2391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6657129 is divided by 115.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -7*d - 2 + d**2 + 7*d. Let g(n) = -n**2. Let t(f) = f**2. Let y(l) = -7*g(l) - 4*t(l). What is y(q(j))?\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, -2, -26447, 1, 2?\nAnswer: -26447","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57078768 divided by 1.\nAnswer: 57078768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 359356.6 centuries to months.\nAnswer: 431227920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)*-3 - (sqrt(120) + sqrt(120)*-2 + sqrt(120) + sqrt(120))\/sqrt(10))\/(sqrt(28)\/sqrt(63) + (sqrt(256) - (4*sqrt(256) + sqrt(256)))).\nAnswer: 48*sqrt(3)\/95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1570 and 65155?\nAnswer: 130310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54311204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1506103 (base 7) to base 14\nAnswer: 543aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55660*q - 17026*q - 1 - 15483*q - 16395*q to a*q + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1335 (b) 2 (c) -3\/7 (d) -1\/126\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -3*h**5 - 1059*h**4 - 20040*h**3 - 17580*h**2 + 803808*h + 1534464 = 0.\nAnswer: -333, -16, -8, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(52)\/sqrt(4) + sqrt(13))*2)**2.\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-11)\/w**8*(w**(-40))**16 assuming w is positive.\nAnswer: w**(-659)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4055.2 + 4524. Let r = 392 - b. What is r rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*t - 34*t = 120 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/213 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n. Let l(y) = -68*y**2 - 42. Give p(l(a)).\nAnswer: -68*a**2 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 760*p - 244*p - 273*p - 246*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4369054?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7*-7*(-1304281)\/539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) 14 (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1705 - -1092. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -1231*n - 711. List the prime factors of m(-5).\nAnswer: 2, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.95 - -0.484178582.\nAnswer: -0.465821418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.08253 rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06798 to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*z - 2. Let h(q) = -q**2 + 5*q - 1. Determine h(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of 1\/30*p**6 - 1\/10*p**5 + 0*p**2 - 6*p + 0 - 1\/12*p**4 + 1\/3*p**3. Factor n(f).\nAnswer: f*(f - 2)*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*t**2 - 13*t**3 - 100*t**2 + 133*t**2.\nAnswer: -13*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -0*g - 2*v - 72, -4*g = v - 84. Let u(l) = -78 + 7*l - 5*l - 10*l. What is the smallest common multiple of u(-12) and g?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 15*c**2 - 14*c + 11. Let b be d(14). Suppose 5*g - 4 - 31 = 0. Let h = b - g. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5146*f**2*u + 55*f**2 + 2*f*o**2*u + 2*f + 7*o**2 - o*u - o with respect to u.\nAnswer: 5146*f**2 + 2*f*o**2 - o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3560*z**3 - 7*z**2 + 36*z wrt z.\nAnswer: 21360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 7*u + 260. Let r be a(13). Solve r = -12*x + 79 - 19 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y + 254*y**2 + 22*y**4 + 1 - 254*y**2 - 2*y in the form n*y**3 + c*y**4 + z*y + p + l*y**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*f**3 - 20*f**2 - 5*f + 10.\nAnswer: 5*(f - 1)**2*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2886212 + -6854753739\/2375. Let x = 6\/125 + a. Is 1 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 2*y. Suppose y = 3*q - 57 + 21. Suppose 0 = 5*i + 3*f - 168, 0 = -f + 1. Calculate the remainder when i is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48\/10*((-6210)\/(-120) + -52)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/5 - 37576*g - 882472360.\nAnswer: -2*(g + 46970)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (344\/(-7))\/((-85)\/5950) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -45770386*v + 40988995?\nAnswer: -45770386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 15, -61510, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - p**4 - 1)*(2 + 0 - 4) + 2*p**4 - p**2 + p**2 - 2*p**4 - 6*p**4 - 2*p**4 + (12*p + 2*p**4 + 5 - 12*p)*(6 + 0 - 4).\nAnswer: -2*p**4 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**3 + 2*d**3 - 2*d**3 + (d + 0*d + 0*d)*(3*d**2 - d**2 - 4*d**2) + 406*d - 298*d**3 - 406*d to the form b + x*d + w*d**3 + t*d**2 and give w.\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2125 * -28.\nAnswer: -59500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**2\/5 + 153996*i\/5 - 24381296\/5 = 0. Calculate i.\nAnswer: -77156, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-6) - 2291\/2. Is s\/(-9) + (-6)\/27 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -127842?\nAnswer: -127841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -3\/235, 0.1, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 300062615, 300062614, 300062613, 300062612?\nAnswer: 300062611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 1\/10, 4, 2\/37, -1\/5, 14?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 21 = -2*r, -4*r - 1793 + 1755 = -6*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w + 3. Determine x(8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 < 212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31767 divided by 3.\nAnswer: 10589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 41265317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 677, 744, 811, 878?\nAnswer: 945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 - (14 + -16).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/18)\/((-1)\/(-9)). Factor -82*f**c - 4*f**4 - 2*f**5 + 2*f + 4*f**2 + 82*f**3.\nAnswer: -2*f*(f - 1)*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 6*q**2 - 2*q + 1. Let d = 23 - 34. Let i = d + 61. What is the remainder when i is divided by h(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 4 + 4 + 8*q - 2*q**3 - 2. What is the remainder when 28 is divided by p(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 229*q - 146*q + 136*q - 5 as k + l*q and give l.\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1201384.\nAnswer: 2, 263, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 6 = 2. Let g be -7 - (l + 5 + -2). Let n be (4\/(-18))\/(g\/12). Which is greater: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 63. Let f be 6\/(-10)*240\/(-48). Find the common denominator of i and -1 + ((-33)\/(-110))\/(f\/17).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - z**2 + 1. Let t(q) = -3*q**3 + 2*q**2 - 3*q + 2. Let s(v) = -4*f(v) - t(v). Let k be s(4). Let l = 51 + k. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 3882941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -3*f + 22, -3*o + 8199*f - 26 = 8198*f for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-1)*(-29)\/((-1653)\/76). Solve 4*h - g*h - i - 12 = 0, 0 = -2*i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/5 + (-7)\/(-35). Factor r**3 + 0 + 1 - v.\nAnswer: r**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkmmhmwumknmumunuuk. What is prob of sequence nu?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, s: 4, v: 3, b: 1, e: 7}. What is prob of picking 2 u and 1 b?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5812, -5819, -5826, -5833, -5840, -5847?\n\"Answer: -7*x - 5805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 7*c - 4. Let n be y(-7). Is n >= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3 + 1 = 0. Let m = r + 2. Let v(q) = 2*q**2 - 3*q + 1. What is the tens digit of v(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -671.68 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*o + 16*o + 74*o + 207*o in the form j + l*o and give l.\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2655 - -265503\/100. Which is the biggest value? (a) u (b) 1\/2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66\/5 - 13. Let f = -0.1 + 0.2. What is the third biggest value in -0.4, f, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*12.5.\nAnswer: -0.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 470, 996, 1534, 2090, 2670, 3280?\nAnswer: 3926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1874, 3765, 5656, 7547, 9438?\n\"Answer: 1891*v - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15925.91 + -16003. Let q = 14.01 - w. What is q rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2420) - -1*sqrt(2420)) + sqrt(2420))*-3)\/(sqrt(20)\/(-2*sqrt(200))).\nAnswer: 1980*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -782949 divided by 260983\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1252 + -638. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x**2 - 10 - 15*x + 32*x + 8*x. Let l be d(5). Solve l = g - 6*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68ac8c (base 13) to base 12\nAnswer: 9b7488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m + 12. Let k = 7 + -4. What is the remainder when v(-9) is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000579319 rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - s - 2*s + 0 + 0 + (6*s - 4*s - s)*(0 - 5 + 3) + 7 - 7 + 9*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*7\/294*(0 + 2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d**3 + 3*d**2 + 4*d. Let f be c(-3). Let i be 54\/f + 3\/15. Let y = 1.9 - 2. What is the nearest to y in -4, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -12*f - 19*f - 27*f - 6*f - 31*f. Let q(x) = -x**2. Determine t(q(c)).\nAnswer: 95*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/4*-2)\/1)\/((11529\/(-10836))\/183)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -4 - (-391)\/23?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 10:40 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6830*n - 6830*n - 152*n**2 - 3*n + 3*n + 2*n**2 + (3*n**2 - n**2 - 3*n**2)*(-1 + 2 - 3) + 0*n**2 + n**2 + n**2.\nAnswer: -146*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -6*r + 10. Let k(a) = -a**3 - 19*a**2 + 19*a - 20. Let l be k(-20). Suppose l = 4*u - r*u. Solve 0*d + j = -2*d - 8, u = -5*d - j - 23 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 + 13000*r.\nAnswer: -4*r*(r - 3250)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.5, 5, 0 in ascending order.\nAnswer: -2, 0, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -704 (c) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1862*v - 46395 = 15051 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**2\/5 - 1220744*h\/5 - 74457942\/5 = 0 for h.\nAnswer: -610311, -61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43326.\nAnswer: 2, 3, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -h, -5*j + 4*h = 150 - 149 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 180*r + 871. Let u be f(-5). Let o = -4 + -16. Which is smaller: o or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4271 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-six fifths of a litre?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 20. What is the least common multiple of 32 and 40 + m - (4 + -2)\/(-2)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -608 + 702 + (2 - (-2 + 6)) - 18?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1740891, -1740898, -1740905, -1740912?\n\"Answer: -7*i - 1740884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 + 4536. Let s(p) = -2*p. Calculate l(s(z)).\nAnswer: 8*z**2 + 4536","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 486*d + 15788 + 294082 = 1159*d + 2770*d for d.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-5))\/((-1)\/(-5)). Suppose -m - 3*l - 3 = -z*m, 26 = 5*m + 2*l. Suppose -y + 13 = -m*y - r, -2*y + 2*r = 6. Let v(n) = -n + 3. Give v(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.5 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 + 4*n**3 - n**2 - 2*n**3)*(2*n - 5*n + 4*n) + 0*n**3 + n**3 - n**4 + 12*n**4.\nAnswer: 12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/40 of a minute?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s**4 - 9*s**2 + 7*s. Let q(l) = -2*l**3 + 5*l**2 + 2*l**4 - 4*l + 2*l**3. Let c(v) = 7*q(v) + 4*u(v). What is the third derivative of c(d) wrt d?\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2496 + -2492. Solve -5*l - 15 + 25 = d, -t*l - 21 = -5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/(-6400)*64*((-8)\/174)\/1\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 4:11 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 15050, -1, 573?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -332 divided by -2\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -7) + (63 + -75 - (-30 + -2)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 7:42 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 91 = -2*l + 7*l, 3*l - 45 = 5*j. Suppose b + 24 = -l. Let g = 49 + b. Solve -2*h = -g*c - 0*h + 10, 4*c = -4*h - 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10860, 23703, 36546, 49389, 62232, 75075?\nAnswer: 87918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 228964 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.09 + 0.09. Let w be 1 - (-2 + 3 + -1). Sort w, s, 0.3.\nAnswer: s, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50.5 + -50. Suppose 5*s - 8*s = 3. Let h be s*(-2 - (-55)\/30). What is the biggest value in 0.1, p, -1\/7, h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 10, b: 2, p: 4}. What is prob of picking 1 p and 1 b?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 110.957 - -0.043. Let o = -126 + z. Let a be 0 - -1 - 1*-1. Which is smaller: o or a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zpx when three letters picked without replacement from {q: 2, x: 1, z: 10, p: 3}?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, t: 18, i: 1}. What is prob of sequence tt?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32370, -31424, -30478, -29532, -28586?\nAnswer: -27640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15*p*w**3 - 20*p + 2*w**3 - 4 wrt w.\nAnswer: 45*p*w**2 + 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -3*y + 303, -99 - 35 = -2*v + 2*y. Suppose -6 = 5*q - 86. Calculate the remainder when v is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 728 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28881*z - 119733 wrt z?\nAnswer: 28881","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d**2. Let u(l) = -60*l**2 - 21 + 21 - 5*l**2. Let m(f) = -21*f**2. Let b(j) = -10*m(j) + 3*u(j). Calculate b(t(c)).\nAnswer: 240*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-110)\/242*14\/(-168)*-1452.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16525638?\nAnswer: 2, 3, 23, 179, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 5\/2*b**2 - 3*b - 30. Differentiate m(a) wrt a.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 81972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216*b - 326*b**3 - 331*b**3 + 216*b + 616*b**3.\nAnswer: -41*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 377, 1591, 3615, 6449?\n\"Answer: 405*c**2 - c - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 + -33. Solve -n*o + 10 = 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m. Let j(r) = -5*r - 5. Let p(l) = -j(l) - 6*k(l). Let i be p(6). Let d = 4 - i. Solve -5*f - d*q - 10 = 0, -4*q = 2*f - f - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 340346 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 3*m**2 - 6*m + 6. What are the prime factors of d(4)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-2))\/(12\/64). Let i be 33\/(-7) - p\/(-28). Let x be -1 + i\/((-15)\/6). Let z(j) = -j**3 + j**2 - 1. What is z(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 243180*o - 1945420. Give h(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49847 is divided by 236?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 80150538 a multiple of 1677?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -7*a + 19. Is 14 + a - (-2 - 25\/(-5)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100300542 and 41676.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*l - 14. Suppose 0 = -l*d - 15 + 22. Solve x - 3 + d = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-2))\/(4\/8). Let y(q) = 53*q**3 - q**2 + 1. What is the remainder when y(v) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2883934513\/1512 - 1907364. Find the common denominator of d and 37\/1176.\nAnswer: 10584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o - 1 - 11*o + 2)*(2 + 0 - 7) as x*o + u and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2589*m**2 - 7*m - 2939. Let j(w) = 2585*w**2 + 6*w + 2939. Let c(z) = -7*j(z) - 6*t(z). What is the derivative of c(n) wrt n?\nAnswer: -5122*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 9*p**2 - 2*p - 11. Calculate the remainder when q(-9) is divided by (-3)\/(-6*(-4)\/(-16)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 24*y**2. Let q be v(1). Let b(m) = -2*m**3 + 2*m**2 - 4*m + 2. Let x be b(2). Let l = q + x. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -218*k + 2565. Calculate v(13).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 12:01 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 99*a**2 - 147*a**2 + 47*a**2 - 2 + 0*a - 2*a - 6*a. Let l(j) = 2*j**2 + 24*j + 6. Calculate 8*f(k) + 3*l(k).\nAnswer: -2*k**2 + 8*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or 3\/11?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18178 and 244.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 g when three letters picked without replacement from jgjjjg.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p - 4 = -20*p. Is p less than or equal to 11\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) + 1*sqrt(16))\/(-1*sqrt(18)).\nAnswer: -4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvwbbvvpbaoppvb. What is prob of sequence wv?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2. Let w(s) = 3*s**2. Let o be 1*-2 - -2 - -1. Let l(g) = g**2. Let j(h) = o*w(h) - 6*l(h). Give y(j(d)).\nAnswer: -18*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 - -73668?\nAnswer: 73619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 1. Let q(c) = -c**2 + 1. Suppose 2*m + 32 = 6*m. Suppose 3*p - 2*g - 19 = 0, p - m = -0*p + g. Give p*n(y) - 3*q(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15210 (base 7) in base 12?\nAnswer: 2539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88692*t**2 + 44348*t**2 + 102*t**3 + 189*t**3 + 44344*t**2.\nAnswer: 291*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1106300 + -2?\nAnswer: 1106265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27604391*d**2 - 2*d + 1732210 wrt d.\nAnswer: 55208782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 2:02 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.030467784 and -4.494.\nAnswer: -4.524467784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12372*i + 12412*i - 24887*i = -800 - 2084 for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**2 + 0*g**2 + g**2 + (-2*g - 3 + 3)*(4*g + 0*g - 5*g) + 11*g - g - 3*g**2 - 3*g.\nAnswer: -2*g**2 + 7*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -218698220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23534 and 3690.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/12)\/c**(2\/35) assuming c is positive.\nAnswer: c**(11\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*u - u - 1 = 0, 0 = -s + u + 4. Let t be (-34)\/24 + (-4)\/48*-9. Let b = 4 - 4. What is the nearest to b in s, -0.1, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1595 is divided by 76.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -552 divided by 6\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3\/4, 1\/39, 2\/3, 3, -2\/3?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/209573 and -11\/4450082.\nAnswer: 209153854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 u when two letters picked without replacement from {u: 1, k: 2, i: 2, r: 1, g: 1, s: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.11 - -1.21. What is the third smallest value in 2, m, 7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*(-6*(sqrt(40)\/sqrt(2) + sqrt(20)))\/sqrt(10) - (-5 + sqrt(2) + sqrt(128) + 1)*2).\nAnswer: -8 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (126\/28)\/((-30)\/(-18)*-9).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/((r\/(r\/(r**(-1\/6)*r*r))*r)\/r))**(2\/15))**28)**(5\/6) assuming r is positive.\nAnswer: r**(-70\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0*v**2 + 2*v**2 - 3*v**4 + 5*v**4 + 1 - v**3 as f + i*v + s*v**2 + z*v**4 + h*v**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 85, 4, -4, 0, 2\/7, -11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -140, 3\/4, -61, 1, 5 in increasing order.\nAnswer: -140, -61, 3\/4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 192142 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -7252, -1\/3 in descending order.\nAnswer: -0.3, -1\/3, -7252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 518 = 1042. What is the third derivative of -120*u - 24*u**2 + 8*u**4 - 2*u**5 + h*u wrt u?\nAnswer: -120*u**2 + 192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82440.\nAnswer: 2, 3, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + a - 6. Let p be g(-3). Solve -i + 2 - 7 = p, 0 = -2*b - 4*i - 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 40*c**2 + 92*c + 48. Let m(t) = -13*t**2 - 31*t - 16. Let g(z) = -16*m(z) - 5*n(z). Factor g(v).\nAnswer: 4*(v + 4)*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, i: 1, v: 1, n: 5}. Give prob of sequence nnnj.\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 927450216 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.5, 37717, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -167, -186, 81, 778, 2049, 4038, 6889?\n\"Answer: 24*k**3 - k**2 - 184*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x**(-2\/55)))\/(x\/((x*x\/((x*x*x**(4\/23))\/x)*x)\/x*x)))\/(x**14*x*x*x**15))**(-5\/2) assuming x is positive.\nAnswer: x**(19062\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 3 = -w, 3*r + 4*w = -0*r - 12 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 z when three letters picked without replacement from ssmmzlmzzzmzl.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-70)*((-42)\/1260 + ((-39)\/(-18) - 2)).\nAnswer: 1\/175","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 18, 725108 in ascending order.\nAnswer: 18, 24, 725108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (4 - 5 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m**3 + 22*m + 18*m - 31*m - 2 - 9*m + 12*m**2 to the form u + o*m**3 + v*m + k*m**2 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.3, -26, 72\/143, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/20 and ((-21)\/1440)\/(6\/702) + 1?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/54246 and 83\/33?\nAnswer: 596706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of ((-4842)\/4)\/(-1)*(15 + 203\/(-21))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.3 + -0.3. Let n(f) = -f**3 + 8*f**2 - 5*f - 7. Let r be n(7). Let y be r\/((-119)\/15) - -1. Which is the closest to v? (a) y (b) -1\/4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -27*r**3 + 14*r**2 + 5*r. Let n be m(-5). What is n rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 26*v**4\/7 - 1618*v**3\/7 + 22732*v**2\/7 + 46216*v\/7 - 11856\/7 = 0.\nAnswer: -2, 3\/13, 26, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -9*o**2 - o**3 + 137*o - 1 - 68*o + 2*o**3 - 69*o. Suppose -3*a - 2*d - 2*d = -27, 0 = -d. Let f be r(a). Sort -26, 3\/4, f in decreasing order.\nAnswer: 3\/4, f, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14274 and -0.4.\nAnswer: -14274.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19516 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 7, -0.3, -2.8, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.2, -648, -0.4, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + d - 2. What is the remainder when 27 is divided by k(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - j + 46*j**3 + 0 - 44*j**3 - 4 in the form t*j + x*j**2 + c*j**3 + k and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, y: 12}. Give prob of sequence jjy.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 3:54 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64411354?\nAnswer: 2, 7, 4600811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5*h**2 + h. Let k(f) = -f + 13. Let q be k(14). Let l be r(q). Solve -6 = 5*a + l for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 6:11 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/9, -120\/23, 20, -75.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f**3 + 0*f**3 - 515571 + 515571.\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2606742018?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -9 - (-24)\/(-20)*-10. Let m(v) be the first derivative of -3\/10*v**2 + 6\/5*v**k - 8 - 3\/5*v. Solve m(f) = 0 for f.\nAnswer: -1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244237.\nAnswer: 7, 23, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1340, -916, 232, 2464, 6140?\nAnswer: 11620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-107 + 101 + -129)*(-1 + 8\/10).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 258\/24 + (4 - 0). Is 14 at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/15 (b) -4 (c) -6\/7 (d) -3\/8 (e) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 852418751?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.75 + -10.82. Which is smaller: f or -0.013?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02 - 2.02. Let s be (3 + 5)*(-8)\/(-64)*-5. What is the smallest value in s, m, 2\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1352.49815 take away -70.08?\nAnswer: 1422.57815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 443 + -394. Solve -29 + w = 4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1467? (a) 1\/6 (b) -1\/14 (c) -4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-2)*3\/9. Suppose 0 = 3*h - 5*w - 10, 3*w = h - b - 2. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 127161975, 127161969, 127161963?\n\"Answer: -6*f + 127161981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 115917*u - 115806*u + 888 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**2 - 32903*h - 164589. Calculate i(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 7 = 3*q + 4*g, -5*q - 5 = 5*g for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ne when two letters picked without replacement from enkthhhntktt?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (-3 + 2 - 32). Let m = g - 23. Suppose 25 = 5*b + 2*v + 2*v, -3*b - 4*v + 15 = 0. Calculate the least common multiple of m and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 - 27. Put -1, q, 0 in decreasing order.\nAnswer: q, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 31*r + 2383*r**3 + 1 - 31*r.\nAnswer: 2383*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52880?\nAnswer: 2, 5, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 92 + -1 + 2\/1. Let h = c - -91. Suppose h = 2*i - 2*j, -i + 68 = -4*j - 21. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3644 + -2220753?\nAnswer: -2215107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q**3 - 3*q**2 + q - 3. Let f(p) = -8*p**3 - 7*p**2 + 2*p - 7. What is -3*f(y) + 7*k(y)?\nAnswer: -4*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21102 + 1100121?\nAnswer: 1122000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (315\/252)\/(2\/(-8)). Sort 9, 1, 5, h in descending order.\nAnswer: 9, 5, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z - 9. Let w be u(-5). Let d(m) = 29*m**2 - 30*m - 126. Is d(w) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 9. Suppose a = -k*a + 57. Let z = 1 - -14. Calculate the remainder when a is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -4. Let s = -423794\/111 - -3818. Let j = -136\/333 - s. Which is the third smallest value? (a) 1\/5 (b) t (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(192) - 3*2*sqrt(192))**2 + (sqrt(192)*-2 - sqrt(192))*2 - (-3 + ((sqrt(192)*-2)**2 - sqrt(192)) + sqrt(192) + 2 + 2)).\nAnswer: -192*sqrt(3) + 16124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-308)\/63 + (-3 + -1 - -9). What is the second smallest value in y, -3\/2, -2\/5, -4, -0.02?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13055399 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10552003*r**4 - 5410255*r**2.\nAnswer: 253248072*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*b - 1)*(-3 - 1 + 5)*(-2 - 4 + 4)*(15*b - 4*b + 5*b).\nAnswer: 64*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 45 = 545. Let i = j - -143. Calculate the highest common factor of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.23 and 355223.\nAnswer: 355223.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*4*(-33)\/(-22).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 7:47 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4032615497 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 80486*w + 1690260. Give k(-21).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -509*c + 12*c**2 + 500*c - c**3 + 11 + 5*c**2. What is the tens digit of v(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-419312)\/(-8616) - 34\/(-1). Find a such that -b*a - 7688\/3 - 2\/3*a**2 = 0.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -0.1 (c) 3 (d) -4 (e) -8 (f) -35259\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - c + 34 = 0. Suppose -18*x + c*x = 4. What is the closest to 4 in 4, x, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -2\/39, 1\/9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, f: 2, s: 4}. Give prob of sequence sef.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {n: 1, k: 5, g: 3, r: 4, d: 1}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 + -29. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h**3 + 3*h**2 + 1. Let o be (18\/12)\/(15\/10 + 0). Let g(b) = -3 + 4 + 0*b**2 + 0*b**2 - b**3 - b**2. Give o*g(j) + s(j).\nAnswer: -5*j**3 + 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.16178 to 3 decimal places.\nAnswer: -1.162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 176083681?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 - h + 3. Let p(n) = -5*n**2 - 3*n - 7. Calculate -6*l(g) - 3*p(g).\nAnswer: 3*g**2 + 15*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(2\/23)*l*l**11)\/(l\/(l\/(l*l**(1\/4)))*(l**(-9)*l)\/l) assuming l is positive.\nAnswer: l**(1993\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5274776 divided by 2.\nAnswer: -2637388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*h - 43993 = -12*h. What is h rounded to the nearest ten?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 37 + 53. Suppose 2*m = 4, z*u = 28*u - m + 90. Solve 4*n + u = 36 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/44*-32 + 63\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**5\/2 - 5543*f**4 - 11085*f**3\/2 = 0.\nAnswer: -11085, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8619772.\nAnswer: 2, 7, 211, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1203841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1088*h + 59 - 31 - 28.\nAnswer: -1088*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 - 17. Let k = 13 - x. Let r = 4.75 - k. Round r to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 17*u. Let j(f) = 120*f. Determine -4*j(z) + 30*o(z).\nAnswer: 30*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 21094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 255352 by -10.\nAnswer: -127676\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -6. Let k = r + 0. Let d be (8\/12)\/(k\/9). Solve d*m = -m + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/45)\/(4\/(-18)). Differentiate 2 - 89*p**t + 3 + 67*p**2 with respect to p.\nAnswer: -44*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -289.65 - -42.95. Let n = 262 + s. Round n to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -14*d**2 + 3 + 9*d**2 - 5*d + 2. Let u(p) = -9*p**2 - 9*p + 9. Let s be (-3)\/((-12)\/(-2))*-14. Let j be -2 + (-2 - 1) + 1. What is j*u(f) + s*b(f)?\nAnswer: f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 8. What is n(4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-324))\/((1\/135*27)\/(18\/(-4)))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 702108, 1404206, 2106304, 2808402, 3510500, 4212598?\nAnswer: 4914696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 7216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 149*z**3 + 600*z**2 - 5*z - 86. What is d(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21)\/(-63) - (-1)\/(-6). Which is the closest to 1? (a) 0.11 (b) s (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 2)*(-2 - 2*m + 2) + 3*m + 4*m - 6*m)*(2 + 0 + 0 + (0 - 2 + 4)*(1 - 1 + 2)).\nAnswer: 30*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10754\/9 + 87\/783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119\/(-17)*(-150)\/(705\/(-47))?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-20)\/(-45))\/1)\/(10\/(-1485)*-11). Factor f - 3\/4*p**2 - 21\/4*p.\nAnswer: -3*(p - 1)*(p + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147941 times -307\nAnswer: -45417887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.7093 (b) -1\/8 (c) -63 (d) -3 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295*f + 4889 + 431 = -12*f - 11094 for f.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -664*l - 1365. What is the tens digit of a(-33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 - 9*g - 8. Let a(h) = 4*h**2 - 17*h - 17. Let p(u) = 4*a(u) - 9*j(u). Let d be p(6). Solve -2*s + 0*s = -d for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2743 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.1 and 4.91125.\nAnswer: 7.01125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**3 - 1632*v**2 + 245902*v + 11433888 = 0 for v.\nAnswer: -37, 261, 592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 3\/2 (c) 1647\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3240282869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + (-60)\/(-14) - (-86)\/(-7). Let n be (-147)\/w - -1*(-2)\/8. Solve -4*b - n = 0, -12 = 2*x + 6*b - 4*b for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 + 54*d - 243.\nAnswer: -3*(d - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 4 + (23 - (-2 - -7)) + -45?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 262 divide 44920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25888 - 813?\nAnswer: 25075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4*sqrt(99) - (sqrt(99) + 5 + sqrt(99) + -1))**2.\nAnswer: 72*sqrt(11) + 3568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(3\/(-27) - 0)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -2)\/(-5 + 4). Let c be (-3 + b + 3)\/(-1). Suppose c = -2*s + 5*s + 3*i - 36, -4*i = 3*s - 41. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2 + sqrt(125))**2 + 3 + sqrt(125) + ((sqrt(125) - (-1 + sqrt(125)))*4)**2.\nAnswer: -15*sqrt(5) + 151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -138*f + 0*f**3 + 0*f**2 + 107 + 57\/4*f**4. Differentiate m(d) with respect to d.\nAnswer: 171*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2237 + 2229 + 2238 + 2236 - 8938 - 35*f**2.\nAnswer: -35*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 148660368 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1973f - 8?\nAnswer: 19737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -3, -33, 3, 80.\nAnswer: -33, -4, -3, -2, 3, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/3)*g*g\/((g\/(g\/g**5))\/g))**(-1\/11)*(g\/g**7*g*g*g\/(g\/(g**(-2\/7)*g)))**(-1\/9) assuming g is positive.\nAnswer: g**(337\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 4*x + 14, -x + 86 = 87 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*w + 8170 = 92*w - 28 - 1928 for w.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -181552146 divided by 30258691.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 3*j. Let i(o) = 10*o**2. Calculate b(i(s)).\nAnswer: -100*s**4 - 30*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 2, 11 in descending order.\nAnswer: 11, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 1:14 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2b4c3 - 2?\nAnswer: -2b4c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 1:17 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3\/381*((-301)\/(-129))\/(42\/(-36))\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-8) + (-239)\/(-8). Let v be 1\/(-2) - (-19)\/(-2). What is the least common multiple of w\/v*6\/(-2) and 13?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ifhf when four letters picked without replacement from wqfwiwffwwwffwh.\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -28*p**2 + 1. Let n(k) = -5*k**2 + 2382*k - 3. Determine n(r(b)).\nAnswer: -3920*b**4 - 66416*b**2 + 2374","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 10:00 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(5) - (sqrt(5) - sqrt(5)*1)*-2).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1 + 1 = 0. Suppose 0 = 4*b - y*q + 4*q - 2598, 0 = -q - 1. What is b rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c**3 - 15*c**2 + 40*c - 10. Let x(y) = 3*y**3 + 14*y**2 - 39*y + 9. Let q(h) = 2*r(h) + 3*x(h). Let z be q(6). Which is smaller: z or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 48*z. Let p be s(-1). Let b = p + 48. What is b rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42152*k**4 - 158054*k**2 - 3 wrt k.\nAnswer: -1011648*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19207 + 3163 = 573*j for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 9, -3, 3\/4, -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 1\/10*f**6 + 0 + f**4 + 257*f - 3\/4*f**5 + 0*f**3 + 0*f**2. Factor r(o).\nAnswer: 3*o**2*(o - 4)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54540.1 + 54540. Suppose 4*u + u = 0. Let g = -1 - u. Is t smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -369 + 370. Suppose -3*o + 1354 - 220 = -3*z, -c = z. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 - -62. Which is smaller: -2 or v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/(-12)*(-24904)\/(-7641)?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -17*z + 4. Let h(t) = -t**3 + 9*t**2 - t + 3. Let y be h(9). Let b be u(y). Let k = b + 45. List the prime factors of k.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 - 65*b + 735. Give n(14).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(19))*-5 - sqrt(1900)*5.\nAnswer: -55*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 r, and 1 v when four letters picked without replacement from {m: 1, t: 1, v: 1, n: 2, r: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00048578 rounded to 6 dps?\nAnswer: -0.000486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 524, 1282, 2272, 3494, 4948, 6634, 8552?\nAnswer: 10702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 11, s: 2}. Give prob of sequence msms.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -3496*y**3\/3 - 3*y**2 - 571*y - 3657. What is the second derivative of n(d) wrt d?\nAnswer: -6992","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2020937?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 31*k - 82. Let q be o(28). What is the highest common divisor of 1934 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddc when three letters picked without replacement from kkdjdkjkjdkcdjdk.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294*w = 246 - 1138 - 2048. Solve 3*l - 22 = 5*p, 8*l = 3*l - p - w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -8. Suppose -t + 3*z - 9 = 0, 2*t - i*z + 7*z = 9. Solve t = 4*g - 25 + 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9\/335 + 959\/60635. Suppose 16*j + 685 = 13. Let q be 4\/(-6) - 70\/j. Is q greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1173 divided by -51?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 6*q - 6. Let u be n(4). What is the third derivative of a**3 + 5*a**2 - 7*a**2 - a**3 - u*a**6 wrt a?\nAnswer: -240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1476 = 243*r - 79*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i = 4*f - 15*i - 108114, -i + 189217 = 7*f. What is the ten thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 289557315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4 = 2*b + 22, 3*u = b + 15. What is the remainder when u is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4047.2 tonnes to grams.\nAnswer: 4047200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2291910 and 198102.\nAnswer: 1446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppeh when four letters picked without replacement from {p: 2, e: 2, h: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 8 = -5*x. Suppose -x*c + c + 4 = 0. Suppose 2*w - 168 = -5*i, -c*i + 73 = -3*w - 2*w. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*q - 26, -p - 23*q = -24*q + 6. Solve -l = 4*f - 4, -2*f = l - 3 - p for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -109.62831 times -0.5\nAnswer: 54.814155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 11 + 1 = -2*j, 0 = -j - 2*p + 2. Let z be j - 1 - 8\/(-2). Let t = 19 - z. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68 + -64. Suppose -d*f + 388 = 24. What is the common denominator of 109\/10 and 6 - (0 - -4) - f\/(-6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*c**2 - 4*c**2 - 15*c**2.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -24064*a - 24827. Give p(-1).\nAnswer: -763","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 8*y - 4. Suppose 0 = 3*h - 36 - 6. Suppose -9*x + h*x - 30 = 0. Let u(j) = 7*j - 3. Let a(q) = x*o(q) - 5*u(q). Differentiate a(v) with respect to v.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9665\/(-1950) + (-2)\/(-6) + 0 + 5 and 27\/25?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -220762793*v**3 + 1212882*v**2 + 18 wrt v?\nAnswer: -1324576758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g + 1990 - 1948 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 10:13 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r = 103*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9936 (base 15) to base 6\nAnswer: 410123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000662479 to six dps.\nAnswer: -0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -10*12\/(-8) + (-14)\/28*8. Solve s - 5*i = 0, -4*s = -4*i + 27 - z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -67533.\nAnswer: 1\/67533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + 50. Let d = o + -45. Calculate the highest common divisor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(2\/3)*b)**(1\/3)\/(b**1)**(6\/11))**(2\/11))**30 assuming b is positive.\nAnswer: b**(20\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxy when three letters picked without replacement from lcxyf?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i - 16. Let o(n) = -258072*n + 3. Determine v(o(w)).\nAnswer: 1290360*w - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2db6 (base 14) to base 10\nAnswer: 8196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1188510510?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c - 9. Let n = -24 + 4. Let s = 11 + n. Let g be a(s). Solve g = 4*r - 0*r - 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, c: 3}. Give prob of sequence cc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*h + 31 + 24 + 13 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-5) + 38\/(-5). Is 2 a factor of (f\/10)\/(2\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1829 + -2870. Let t = l - -1694. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 6*v**2 + v + 12. Let g(m) = m**2 + 12*m - 34. Let n be g(-14). Calculate the smallest common multiple of p(n) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1614*f**2*h**2*j**2 + 3*f**2*h**2*j + f**2*h**2 - 7*f**2*j**3 + 99*f*j - 7*h**2 wrt j.\nAnswer: 3228*f**2*h**2 - 42*f**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -255360 divided by 2.\nAnswer: -127680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -1066*p + 2810. Calculate r(3).\nAnswer: -388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 341\/(-3751) - 92\/198.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165208794, -165208796, -165208798, -165208800, -165208802, -165208804?\nAnswer: -165208806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 146*j**2 - 386*j**2 + 18*j**3 + 148*j**2 + j + 95*j**2 + 50 in the form r*j**3 + k + b*j**2 + h*j and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1779 is divided by 244.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25481*y**2 - 25485*y**2 + 76728*y**2 - 25742*y**2.\nAnswer: 20*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1136 and 1917.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190881 is divided by 428?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*p*p\/p**(-1\/56))\/p))**(-1\/9))**(-1\/20) assuming p is positive.\nAnswer: p**(-19\/3360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18)\/(-147))\/((-56)\/(-49)))\/(168\/(-32)).\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (10 - 5) + 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 12. Let c(o) be the third derivative of -o**6\/120 - o**5\/12 - o**4\/24 - o**3\/3 - 2*o**2. Give c(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**5 + 882072*y**4 + 64837584432*y**3 = 0.\nAnswer: -147012, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Divide -11315 by 155.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/20*-1)\/((-4)\/(-60)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and 1.6823 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*u + 36, 0 = -4*z - 5*u - 47 - 4. Let j be 6\/z*(-3)\/2. Differentiate -3 - n**2 - j + 4*n**2 with respect to n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 5*f**3\/2 - 49345*f**2 - 98695*f\/2 = 0.\nAnswer: -1, 0, 19739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.052686 hours?\nAnswer: 189669600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6351.451ml to litres.\nAnswer: 6.351451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 + -125 + -88 - (4 - -16)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 21*q**2 - 491*q - 4289. Determine k(-9).\nAnswer: 1831","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 118013*a**4*r + 4*a**3 + 249041*a**2*r wrt a.\nAnswer: 2832312*a*r + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 13.89. Let k = o + 2.11. Let r be (-7)\/(42\/(-27))*2\/(-21). What is the closest to -3\/2 in r, k, -1\/8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6464*z**3 - 14562*z**3 - 2116*z**3.\nAnswer: -23142*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r. Suppose 0 = 7*c - 11*c + 32. Let k(m) = -8 + 2*m**2 + c - 8*m**2. Give v(k(n)).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 461, 918, 1375?\nAnswer: 1832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 197634 to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - -244.8553?\nAnswer: 244.5553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -95*l**2. Suppose -5*p - 40 = -p. Let x(k) = k**3 + 12*k**2 + 10*k + 15. Let q be x(p). Let g(f) = f**2 - q + 115. Determine g(z(d)).\nAnswer: 9025*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -5*s - 3*f, -3*s + 2*f - 20 = 21. Let a = 55 + s. Solve 8 - a = -5*h + 3*z, -3*z = 5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -32*i + 4. Let c be m(2). Let j be -3 + (-417)\/c - 4. Suppose 4*b - 4 = 4*h, -4*h + 5*b + 0*b - 5 = 0. Which is bigger: h or j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/5 + -2 + -6 - (-51)\/9.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(33\/(-11) + 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*i**3 + 109*i**2 - 109*i**2.\nAnswer: -64*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from znpbt. Give prob of sequence bzt.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/54 + (368\/180 - 2)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 12:14 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 4:32 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of 0 + 15\/2*b**3 + 20\/3*b**4 + 5*b**2 + 5\/42*b**7 + 7\/2*b**5 + 7*b + b**6. Factor x(q).\nAnswer: 5*(q + 1)**4*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 + -42. What is the least common multiple of k and ((-2)\/4)\/(1\/(-10))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/12)\/((-25)\/15).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 179.944 kilometers?\nAnswer: 179944000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - -0.08. Let j = z + 2.12. Let f = j - 2.0000034. Round f to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3771*1)\/(116\/754 - (-38)\/(-78)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -39*p - 18. Let g be h(-4). Is g greater than 138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t - 12. Let i be b(-11). Let r(n) = -n**2 - 37*n - 12. Let u be r(-34). What is the highest common factor of u and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 94 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, c: 5, p: 3, d: 2}. What is prob of sequence dpc?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -589.72 - -611. Let p = o + -21.1. Round p to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 57*j**2 - 20*j. Let x(t) = -19*t**2 + 7*t. Let q(w) = 17*x(w) + 6*z(w). Does 6 divide q(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**3 + 3*i**3 + 0*i**3)*((0*i + 0*i - i)*(1 + 0 - 3) + 19*i + 4*i - 5*i - 2).\nAnswer: -40*i**4 + 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -898.4?\nAnswer: -269.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -201 divided by 117243.\nAnswer: -67\/39081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 0)*(-2 + 1 + 3)*(-1369*g + 1261*g - 3041*g).\nAnswer: -18894*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - -1. Suppose b*r = 22 + 3. Suppose -3*z + 62 = -0*z + r*h, 3*h = -3*z + 66. Is 12 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -1251?\nAnswer: 500.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 2:29 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -93 in -8, -3, -4, 2, -26, 5?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -195 - -215. What is the greatest common divisor of d and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 6. Solve 3 = 4*x - c for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-7)\/((u**(-2)*u)\/u)*u\/u**(-1)*(u\/u**(-4))\/u*u*u*((u\/u**(-2\/5))**(-33))**9 assuming u is positive.\nAnswer: u**(-2064\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -4*j**3 + 2\/21*j**7 + 11\/3*j**4 - 2\/5*j**6 - 6 - 3\/5*j**5 + 0*j**2 - 2*j. Factor w(r).\nAnswer: 4*r*(r - 3)*(r - 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4 = 20. Suppose y = -3*z + 13 + 5, -2*y - f = -2*z. Solve -z*j - 15 = -j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 15 - (-3 + 3 + 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 595454.6 millilitres in litres?\nAnswer: 595.4546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214*t**2 + 216*t**2 - 2*t**3 + 207*t**2 - 637*t**2.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jzzqztjljlqqjz. What is prob of sequence jjzl?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**5 - 100*s**4 + 1000*s**3 - 5000*s**2 + 12500*s - 12500 = 0. Calculate s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 779 (c) 5 (d) -1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(204)*-1 + sqrt(204) + sqrt(204))*-1)\/(sqrt(12) - sqrt(132)\/(sqrt(11)*2)))**2.\nAnswer: 4*sqrt(17) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -4 + (-21 - -1) + 22.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*u**2 - 287*u**2 + 977*u**2 - 157*u**2 - 171*u**2 - 155*u**2.\nAnswer: 40*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 82.1 + -82.2. What is the second biggest value in -2\/5, a, -0.07?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46.21 + 46. Let h = t + 0.13. Let x = 4.92 - h. Which is the second smallest value? (a) 1 (b) x (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 721214 by 721214.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4211376500.\nAnswer: 2, 5, 41, 205433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/35829736 and 37\/24.\nAnswer: 107489208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 28*c**2 + 32*c - 128. Let w be r(27). Solve -2*o = 3*x - 6 + w, 4*o = 2*x + 22 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 17*i**2 + 5*i + 47. Let m be o(-22). Suppose -m = -4*t + 8607. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = f + 3*o - 38, -25 = 4*f - 5*o. Which is bigger: 54\/205 or f?\nAnswer: 54\/205","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -134?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.099435712526 and -0.71?\nAnswer: 0.610564287474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -8*y - 46. Which is the second smallest value? (a) 1\/5 (b) -0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 4*j - 5, -2*u + 3*j = -j - 14. Let t be (-215)\/306 - (-12)\/(-102). Let r = t + -2\/153. Which is the biggest value? (a) r (b) -0.3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 6 = 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61*b**5*r + 2*b**4 - 5366*b**3*r + 351*b**2*r - 3*b**2 - b*r - 2*r - 2 wrt b.\nAnswer: 3660*b**2*r + 48*b - 32196*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g. Let s(p) be the first derivative of -2447*p**3\/3 + 7608. What is m(s(u))?\nAnswer: 4894*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.09 and 108.844.\nAnswer: -9.79596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-2) + (-6)\/(-4). Find the third derivative of 2*c - 3*c**4 - 3*c**2 - v*c + 2*c wrt c.\nAnswer: -72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -50843, -203821, -458787, -815741, -1274683, -1835613, -2498531?\n\"Answer: -50994*u**2 + 4*u + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -2\/9, 3, 26, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.41 (b) 0.162 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/4 (b) -0.0589 (c) -0.2 (d) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1525881 = 23*w - 1758404. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 1088*w**2 - 19914*w + 6642. Determine a(1106).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13474514699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(1\/2)*d)\/(d*d**34) assuming d is positive.\nAnswer: d**(-65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 14\/8*412\/7210\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -41225 (base 6) to base 13\nAnswer: -2663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*c**2 + 2*c**5 + 2*c**5 - c**5 + c**5 wrt c.\nAnswer: 240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4*t = 22, -2*m + 5 = -2*t - 5. Solve -4*j + 5*o = 18, 3*j + 4*o - m = -0*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1183 is divided by 772?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*l, -5*b + 0*b = 5*l - 1760. Suppose -4*d = q + q - 1442, -d + b = 2*q. Does 31 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: 2 + (9 - 7) - (-1 - -10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6299 + -1459. Suppose 0*q - v = 4*q. What is q rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.6346702cm?\nAnswer: 0.006346702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 + 0)*(0*q + 3*q - q) + 10*q + 5*q + 2*q)*(-110 - 155 - 85 + 102).\nAnswer: -5208*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*i - 6688 = 122*i - 283*i for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1209712 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 2*y - 54. Let o = 45 + -30. What is the remainder when y is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1148 - 753. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 75, -3 in ascending order.\nAnswer: -3, -2\/17, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/29 in 1, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6720 (b) -0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2149942*x**3 + 274122*x**2?\nAnswer: 12899652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/5)*k)\/(k**(-3\/11)*k)*k\/(k\/k**(-5\/3)*k)*k**(-8) assuming k is positive.\nAnswer: k**(-1781\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3) + (-28)\/(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*w - 81, w + 7*d + 3 = 3*d. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -77270229, -77270230, -77270231, -77270232, -77270233?\n\"Answer: -a - 77270228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 + 10*q + 40.\nAnswer: -5*(q - 4)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(224\/21)*26\/(-39)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/9 + (-1)\/3. Let i = o - -7. Let m = 6 + i. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 f when three letters picked without replacement from {z: 4, f: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**5\/60 + o**4\/8 - o**3\/3 - 10*o**2. Determine g(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10083564*b**2*m*s - 2*b**2*m - b**2 - 158753*b*m wrt s?\nAnswer: -10083564*b**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3686 and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5 = 2*m. Let i = -7 - -8. What is the derivative of i - m*g + 4*g + 1 wrt g?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*l - 15*l - 7*l**2 - 10*l + 1 + 40*l to the form q*l + z + j*l**2 and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -4*m**2 - 65205776*m = 0.\nAnswer: -16301444, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*(-10)\/10*-35. Are w and 144 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -3*j + 37, m - 3*m + 10 = 0. Let z(h) = h**3 - 4*h**2 + 7*h - 10. Let v be z(3). Solve -o + j - v = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129 divided by -93448.\nAnswer: 129\/93448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-136)\/(-10)*15\/2. Suppose 3*k - 21 = -2*z, -153*z + 5*k - 87 = -165*z. What is the greatest common factor of z and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -7*b**2 - b. Let t(l) = -2*l + 13. Let i be t(5). Let f be i + (-1)\/(3\/12). Calculate k(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9850.117 centuries in millennia?\nAnswer: 985.0117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19224314 and 1938?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 8*w**3 - 3*w**2 - 3. Let n(x) = x**3 + 2 + 0 - 25*x**3 + 6 + 8*x**2. Calculate -3*n(j) - 8*p(j).\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (202 - 129 + 165)*(-7*k**2 - k**2 + 3*k**2).\nAnswer: -1190*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 2*v + 14 = 0, 16*v + 27 = 2*z + 11*v for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.1 (b) -3 (c) 1276.7 (d) -7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 2*a - 24. Let h = 0 - 1. What is the remainder when 0\/h - (-1 - 13) is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62557?\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-80)\/(-350) + 21\/105. Let p be (-4)\/5 - 3\/(-3). What is the smallest value in -2, s, p, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 68, 0 in ascending order.\nAnswer: 0, 5, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 + -9. Let m = -37 - k. What is the greatest common divisor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 5, -1, -11, 1 in decreasing order.\nAnswer: 10, 5, 1, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 196973\/20 - 9851. Find the common denominator of s and 47\/510.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 837 divide 474678928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*k + 4 = 0. Suppose -3*t + 32585 = 2*v, 2*v - k*t - 48920 = -v. Round v to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 52 = -4*n, 21 = 4*n - 3*x - 39. Let s = n + -12. Suppose 4*w = c - 3*c + 170, -5*w + 5*c + 205 = s. Does 21 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16877642*q**3*u**3 + 2*q*u**2 + q*u + 12*q - 42*u**3 - 31*u**2 wrt q.\nAnswer: -101265852*q*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w - 4*w + 12235*w**2 + w + 12243*w**2 - 24484*w**2 - w.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9943560 a multiple of 620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1111011101101101100 (base 2) to base 9\nAnswer: -852085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -23255320 to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2853, -1766, -679, 408, 1495?\nAnswer: 2582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0497 * 2773998.\nAnswer: 137867.7006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -3, 1, 0, -0.5, -90\/13?\nAnswer: -90\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(5)*2 + 3)*4 + ((4 + sqrt(125))**2 - (sqrt(20) + sqrt(5) + 5)**2).\nAnswer: -38*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113869?\nAnswer: 7, 16267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -139 + 195. Let z(h) = -h**3 + 3*h**2 + 3*h - 1. Calculate the lowest common multiple of o and z(3).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5018 + -7846. What are the prime factors of (b\/12)\/(5\/(-15))?\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + 6401463507808.\nAnswer: 6401463507807.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*u + 102 = -18 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*o**2 + 21*o**3 - 19*o**2 - 25*o**2 as m*o**3 + n*o**2 + s*o + j and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 - -62. Let q(i) = -25*i**3 - 2*i**2 - 2*i - 1. Let l be q(-1). What is the greatest common factor of l and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 3*q + 2. Give g(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 0, -5\/4, -5, -8, -0.1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -18, -4\/23, 0.2, -64, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (31 - 29)*(-1558)\/4. Let a = -194 - n. What are the prime factors of a?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/(356\/(-1246)*(-14)\/108)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 659 is divided by 112?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3666 and 115338?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 8*z**2 - 2*z + 8. Let b be g(8). Let j = b - -10. Suppose -j*v - 32 = -168. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -478 - -473. What is the closest to x in -0.4, -1, 1\/5, 2\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + ((sqrt(1620)*2)**2 + sqrt(1620) - sqrt(1620))) + 1.\nAnswer: -38855","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**4\/12 + d**2\/2 - 41*d. Let x(a) = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2))**29*h**(3\/2)\/h**(-9) assuming h is positive.\nAnswer: h**(-95\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence brr when three letters picked without replacement from {r: 2, x: 3, b: 4}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 t when two letters picked without replacement from {d: 1, x: 1, e: 1, t: 1, c: 10}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l - 3. Let f be r(-6). Let v = f - 5. Let w be 2\/(((-24)\/(-15))\/v). Which is the second biggest value? (a) w (b) -0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 13. Let l be 9 + -9 - (-36 - (n + 1)). What is the greatest common divisor of l and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 3 = -2*y - 0*j, 5*y = 2*j - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/(-10)*6*5\/2*54\/(-270).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 47 = 11. Suppose 7*u - 4*u = 81. Calculate the remainder when u is divided by ((-14)\/(-3))\/((-4)\/b).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 - ((9 - 0) + (-26 - (-5 - (30 - 28))))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 229282 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 0.5, 3, 23805?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 8:12 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-5)*(-10920)\/168\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 335, 672, 1009?\n\"Answer: 337*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-250)\/(-35))\/(2594\/(-27237))\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 4:42 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9354896101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 6:11 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -597 divided by 3.\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(304) + -1*sqrt(304))**2)*1*-3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0703 - -844.9.\nAnswer: 844.9703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence id when two letters picked without replacement from cidcccin?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/27 and -49\/3791295.\nAnswer: 11373885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -28, 1, 17, -10 in decreasing order.\nAnswer: 17, 2, 1, -2, -10, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1023*a = -1245*a + 13928 - 4382 for a.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -24?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 621308 + -11.\nAnswer: 621297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 51.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 8231709.78us?\nAnswer: 0.00001361063125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -545 = -5*n + 4*t, -81 - 28 = -n - 2*t. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 7 - 41 = 0. Let r = o + 0. Suppose -z - 3*a + 3 + 5 = 0, 4*z + 2*a = 22. Solve -r = -t + z*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9132\/23 or -396?\nAnswer: -396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*r - 18689 + 18493 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*n**2 + 146*n**2 - 44*n**2.\nAnswer: 141*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -29. Is r smaller than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 16*g - 56. Let p be n(5). Let m be (-2 - (-1 - -1))\/((-6)\/p). Sort m, 1, 2 in increasing order.\nAnswer: 1, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/4*(-56)\/(-12) - -2. Suppose 3 = -2*a + 7. Suppose 7 = -4*b + 2*k + n, a*b - 2*k - 6 = 0. Let t(c) = -c**3 + 4*c**2 + 3*c - 3. Determine t(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 120 - 53. Suppose -12 = -5*a - s. Let u be a\/(-4) - (-5)\/20. Solve -2 = o + u for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3545150 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 + 2*b - 2. Let m(r) = 112*r - 3*r**2 - r**3 + r**3 + 6 + r**3 - 116*r. Let l be m(4). Let q be ((-4)\/l)\/((-5)\/(-15)). Calculate n(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 41*q - 4. Let m be h(0). Let v(k) = 3*k**3 - 6*k**2 + 4*k + 9. Let d(n) = -n**3 + n**2 - 1. Let b(c) = m*d(c) - v(c). Determine b(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -342\/67?\nAnswer: -342\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 4*n**3\/3 - 4*n**2 + 4*n - 8. Solve s(u) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-440)\/9152*(-20)\/30*24\/4.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -171, -336, -513, -708, -927, -1176, -1461?\nAnswer: -1788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*q**2 + 2)*(-q + 0*q + 5*q + (0 - 3 + 2)*(4*q - 3*q + q)).\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -113, 5, 32.\nAnswer: -113, 4, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12025 (base 8) in base 7?\nAnswer: 20663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15, -58, -125, -216, -331, -470?\n\"Answer: -12*k**2 - 7*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 46*w - 12196 = -42*w, -4*p = 3*w - 48803. What is p rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**4 - z**3 + z**3 + (5*z**3 - 3*z**3 + 0*z**3)*(-5*z - 3*z + 6*z) - z**4 + z**4 - 2*z**4)*(1 + 1 + 0) + (-37*z + 37*z - 15*z**2)*(-1 + 1 - z**2).\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -6*f**2. Suppose -9 = -2*c + g, c + 4*g + 16 = -c. Let b(l) = -249 - c*l**2 + 249. What is d(b(v))?\nAnswer: -24*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-333239)\/(-2610) + (-4)\/(-18). Let b(f) = 4*f**3 - 3*f**2 - 3*f - 2. Let n be b(-3). Let v = u + n. What is the common denominator of v and -34?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -138 - -121. Let z be (-559)\/j + 40\/340. What is the greatest common divisor of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5544 is divided by 146?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3483\/351 - (-2)\/26\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -11. Let x = -4 + 3. Sort s, x, -3 in descending order.\nAnswer: s, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/1053 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 2 - (-1 - 0). Let z be (-27499998)\/c + 12\/(-30). What is z rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jrxu when four letters picked without replacement from {r: 4, j: 1, u: 1, c: 2, x: 2, d: 4}?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 44759\/79815 - (-3)\/(-4)*(-16)\/(-20)\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/629246 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 1238 and 2402 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(6\/11)\/h*h)\/(h\/((h*(h*h*h*(h**(3\/5)*h)\/h*h*h)\/h)\/h)) assuming h is positive.\nAnswer: h**(228\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 132 and 2562.6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, o: 11, b: 4}. Give prob of sequence mbo.\nAnswer: 88\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d - d - 5*d)*(-2*d**4 + d**3 - d**3) + (0*d**2 - d**2 - 6 + 3*d**2)*(3*d - 2*d**3 - 3*d).\nAnswer: -2*d**5 + 12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 7*i**2 + 16*i + 242. Calculate the remainder when 144 is divided by a(-8).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24723921 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*k - 101*k = 112*k - 1260 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1229.\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 times -1638?\nAnswer: 29484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -82 in -0.017, -10, 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 6:01 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -376*i = -391*i - 255 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1 + (-3 + 5 - 1)*(-6 + 0 + 4) + 1 - 3 + 0)*(-2*t + 3*t - 3*t + (2 + 2 - 2)*(-2*t + 1 - 1) - 4 - t + 4 + 2*t - 4*t + 4*t).\nAnswer: 30*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in months?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {i: 7, v: 2, w: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*d - 2*n, 7*n + 40 = -3*d + 11*n. Suppose -4 = -4*p - 0. Let a be (d*1)\/(-4) + p\/1. Solve 0*c = -a*c + 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d + 63*d + 184 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1.031*0.070055\nAnswer: 0.072226705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7184.1*3.\nAnswer: 21552.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 3*b**2 + 4*b. Let m be t(3). Differentiate -5*l**4 + 13 - m + 2*l**3 - 2*l**3 with respect to l.\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.937 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -11c7b42?\nAnswer: 11c7b42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 260500 to the nearest ten thousand.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001232 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1365, 1680, 2207, 2946, 3897, 5060, 6435?\n\"Answer: 106*z**2 - 3*z + 1262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 9:26 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 8:18 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/156 and 53\/12?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a century in months?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2980993203?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - (-1 - -1))\/(4 - (-17 + 18)). Solve j = 50*x - 249 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -13. Let r be 1\/(-1) + -4 - (5 - 4). Is r less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12155 divided by -5.\nAnswer: -2431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 11 = 5*g. Suppose -x - 3*p = -2*x + 14, -2*p = -4*x + 16. Let a = g - x. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**5\/60 + 5*d**4\/24 - 2*d**3\/3 - d**2. Let j be p(5). Let n be 8\/(-9)*3\/j. What is the nearest to 0 in n, 1, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -3*j + 24 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(104)*-4 - sqrt(104) - (2*(sqrt(104) + sqrt(104) + sqrt(104)*1) - sqrt(104)))\/(2*sqrt(512)*5).\nAnswer: -sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6}. What is prob of picking 3 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -207*v + 1245. Let y be x(6). Solve -y*z + 45*b = 42*b - 21, 17 = 5*z + b for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 4:40 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17077.0622 and -0.0885.\nAnswer: 17076.9737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3260\/(-425) + (-15 - -23) - (-14 - (-966)\/70).\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7817 - 2818. Let w be (f - -1)\/(12\/18984). Round w to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2009 or -2007?\nAnswer: -2009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 3371*l = -3369*l - 20, -4*l - 2 = 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/22 and -71\/14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 7 + 4 + 3*u)*(4*u - 2*u - 4*u).\nAnswer: -6*u**2 + 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.944142 decades to centuries.\nAnswer: 0.5944142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -13) + -11 - -18?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -877, -863, -839, -805?\n\"Answer: 5*s**2 - s - 881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 11*p**3 - 2*p**2 + p + 2. Let x be -1 - -8*5\/10. Suppose x*h + 10 - 31 = 5*k, -4*h - k = -5. Does 14 divide g(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 6584*m**2 + 46*m - 175. Is k(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 12, s: 1, y: 5}. Give prob of sequence qyq.\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/112 and -87\/6644708?\nAnswer: 26578832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5760*p**2 - 4 - 82 + 5760*p**2 - p**3 in the form s + m*p + o*p**3 + v*p**2 and give s.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(720)*5)**2.\nAnswer: 18000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 22*c**2 + 1822*c + 37463. What is x(-45)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, u: 2}. What is prob of sequence utu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 96.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 - -49. Solve -b - x - 2 = 3*x, -z = 2*x for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1426)\/(-60) - (-9 + 86\/10) and 28\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1876738796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 339 + -342. Let z(n) = 13*n**2 - n - 22. Let m(d) = 12*d**2 - 2*d - 22. Let f(r) = s*m(r) + 4*z(r). What is the second derivative of f(u) wrt u?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 6*h = -4*t + 12, 0 = -3*h + 2*t + 36. Suppose 0 = -k + 3*u + h, -5*k - u = 3 + 1. Suppose b + k*b = 30. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/252 and -151\/124656?\nAnswer: 373968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*2 - -5 - (-29 - -959). Let k = j - -1266. Does 45 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 790 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.06 + 3.06. Let m = 251582968 + -251582969.99999991. Let s = m + q. What is s rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*m + 79*m = 38*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68542 - 23278. List the prime factors of a.\nAnswer: 2, 3, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 427, 821, 1219, 1621?\nAnswer: 2027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 6*h**2 - 5*h + 7. Let g = -16 - -11. Let z be y(g). Suppose s + 3*p + z = 0, -s - p = -1 - 0. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45067 + 45382. Solve -d = -81*q + 46*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 9, h: 7}. Give prob of sequence hh.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 193115 by -791.\nAnswer: -193115\/791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 802704 is divided by 464?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8153677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 2 - 5\/(-70). Let r = 33\/28 + i. Let b be 2*(1 + (-2)\/(-4)). Sort b, r, -1\/3 in ascending order.\nAnswer: -1\/3, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 23. Solve -i*r + 3*r + 4 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 74?\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-120)\/(-10))\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (((-105)\/20)\/7)\/(2\/(-8)). Let o(r) be the second derivative of 0 + 4*r - 1\/3*r**b + r**2. Find the first derivative of o(k) wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(242)*2)**2 + 4 - ((sqrt(242) + (sqrt(242) + 1)*-4 - sqrt(242)) + 0)**2) + -1)*-5 + -5.\nAnswer: 1760*sqrt(2) + 14580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 21*d - 29. Calculate the remainder when f(18) is divided by 1*14 - (-1 - -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 2*y**5\/55 + 2*y**4\/11 + 10*y**3\/33 + 2*y**2\/11 - 32. Let k(p) = 0. Calculate p.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -259779002*x - 799747589 wrt x.\nAnswer: -259779002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-7)\/s**(-9\/2)*(s\/s**0)**(1\/5))**(-18\/7))**(-30) assuming s is positive.\nAnswer: s**(-1242\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - 2 - (-406)\/7. Let h = -16986 + 203951\/12. Calculate the common denominator of h and i\/(-8) + (-36)\/(-54).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55893171 - -0.2\nAnswer: 55893171.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 340431373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + 0. Let m(r) = -2*r**2 + 28*r - 48. Let p be m(12). Let x be (p\/1)\/(6 - q). Solve 5 = -4*w + 3*s, -2*w - 3*s + 4 - 11 = x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 4517667?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -199*p**2\/2 + 17*p + 28. Let y be q(-4). Suppose 4*c = s + 340 + y, 2*s + 2 = 0. Is 36 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 1470 = 3*z. Let c be 8\/68 - 2\/((-102)\/z). Let h = -9 + 15. What is the highest common factor of c and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.861564 years in decades?\nAnswer: 0.7861564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*6\/(-4) + 1175923\/(-524160). Let c = z - 5\/4992. What is the common denominator of c and -22\/5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32186265 is divided by 596039.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 10*w**3 + 15*w + 15. Let g(u) = -u**3 + 45*u**2 - 89*u - 94. Let s be g(43). Let i = s - -238. Let n(t) = t**3 + t + 1. Determine i*n(r) - v(r).\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 4*u + 93. Suppose -5*w + 4*w + 9 = 2*q, 0 = -5*w + 15. Suppose 4*j - q*a = u, j + 0*a = a + 23. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 4*v**2 - 4*v. Let o be 9\/(-3) + 3 - -3. Let n be a(o). Let g(w) = 21*w**2 + w - 1. Is g(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 + -1 - 2) + (-25 + 0 - -4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4316459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1211121 (base 4) to base 13\nAnswer: 2c52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q**4 + 380*q**3 - 4385*q**2 - 3440*q + 1332 = 0.\nAnswer: -1, 2\/7, 18, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r**3 - 4*r + 3. Let f be l(1). Let j(g) = -8 - 3*g - g**f + g - g - 2*g + 7*g**2. Let n be j(6). Is n equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*n + 150 - 178 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 1 (c) 0.8 (d) 2\/13 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-17164)\/(-224) - (-3)\/8?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 457633.6 hours to minutes.\nAnswer: 27458016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4997922 times -0.6?\nAnswer: -0.29987532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, z: 11}. Give prob of picking 3 z.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30\/8 + (-3)\/(-12). Suppose -4*f - i*o + 71 = -5*o, 3*o = 15. Let n = -11 + f. Calculate the greatest common factor of n and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*x = 172*x + 30. What is the smallest value in 0.1, x, -0.28?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 - 48. Calculate the highest common factor of 135 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - f = -20. Let a be 40 + (-1)\/(f\/(-12)). Suppose 0 = 3*t - 14 - a. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 115 - 38. What are the prime factors of 4\/(-10) + q\/5?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - z + 1. Let l be (-8)\/6 - ((-2)\/(-30))\/((-7)\/35). Let t(c) = -24*c**2 - 5*c + 5. Determine l*t(i) + 5*g(i).\nAnswer: 19*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, -1, -414402 in descending order.\nAnswer: 42, -1, -414402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 5*p**2 + p + 4. Let w be r(-5). Let y be -8*w\/2*2. Let d = 5 - y. Let o(t) = t**3 + 4*t**2 + 2*t - 4. Calculate o(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 5*q - 2*q + 50 - 4*q. Is 25 a factor of f(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 84 = -3*p. Suppose p = -3*s + 6*s. Suppose s*w - 2*w = -3*f + 23, 5 = 5*w. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 76\/(-8) + 15 - (-2)\/(-4). Solve 4*f - 7 - 11 = m*z, -2*z + 5*f - 14 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 0 = -2*d - 1, -5*d - 3*k = -7. Suppose -3*u = -2*u, -u = t - d. Do 2 and t have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.1 - -10. Put n, 3, 2 in decreasing order.\nAnswer: 3, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 + -15 + -92 + 47?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 34426461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.6, 0.06, -9, 3, -4\/29, -1\/11?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 12357?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.4, -1\/4, -447?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, f: 1, k: 2, u: 3, g: 4, d: 3}. What is prob of sequence gkfu?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00146883835 to 6 decimal places.\nAnswer: 0.001469","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 10:48 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, t: 7, o: 1}. What is prob of sequence ttto?\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -27, -9, 1, 3?\n\"Answer: -4*x**2 + 30*x - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3699 + -3702. Let m be (4\/2)\/(3 + -1). Suppose 5*d - m = -11. Which is smaller: z or d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2011862.\nAnswer: 2, 1005931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2403698, -4807369, -7211040?\nAnswer: -9614711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 9*z**2\/2 - z + 3. List the prime factors of b(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295416912 a multiple of 3756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.759 + 0.589. What is o rounded to 1 decimal place?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 1, 0, -5, -79601 in descending order.\nAnswer: 1, 0, -5, -25, -79601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p. Let i be u(-1). Let b(d) = d**2 - d - 4. Let r be b(i). Suppose l + 5*t - 4 = 0, -t = 2*t. What is the highest common divisor of r and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**2*j**2 - 409432*i**2*j + 6909290*j**2 wrt i.\nAnswer: 2*i*j**2 - 818864*i*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*f**2 + 50*f**2 - 123*f**2 + 37*f**2.\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 5) to base 15\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -110641457?\nAnswer: -110641455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62\/6)\/((-239)\/717).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jxoxwwwxooooxiuoixoj. What is prob of sequence oiu?\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 8*f**2 + 6*f + 7. Let s be (-3)\/6*-14 - -1. Let a be (s - 1)*(-1 + 2). Let p be r(a). Solve p = -3*m + 3 + 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 4 (b) 0.02 (c) 2 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8728604 times 0.59\nAnswer: 5149876.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z = 18*z - 28 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18955 and 17935.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000022137238 to six decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 3, e: 1, u: 5, p: 6}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 21595996 + 1804004. Round s to the nearest 1000000.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/13 and -33\/1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 73*d - 504. Determine w(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgnhhgggg. Give prob of picking 1 h and 1 g.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1761545 rounded to 3 decimal places?\nAnswer: -1.176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -485 + 145 = 17*b. Let u(j) = -30*j**2 - j**3 - 27 + 9*j**2 - 12*j - 10*j. What is the remainder when 51 is divided by u(b)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, r: 3, h: 4}. What is prob of picking 1 h and 2 r?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 14*b - 28. Let c be s(11). Solve c*n = -0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/5 (b) -1.9 (c) 19 (d) 0.5 (e) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1194 - -1206. What is the second smallest value in -1\/2, -2\/3, -2, u?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9*3\/18*2. Suppose 5*p - x*p + 4 = 0. What is the nearest to -1 in 2\/15, p, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*o - 224, -501 = 89*s - 1077*o + 1073*o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*c + 19 = 0, -2*c = 2*v + 3*c - 16. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5*(2*-6*(1 + sqrt(192)) - (sqrt(192) - (-5*(sqrt(192) + 1) - sqrt(192)) - (-2*sqrt(192) + 3 - sqrt(192)))))**2.\nAnswer: 121440*sqrt(3) + 2327961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1688, 3386, 5094, 6818, 8564, 10338, 12146, 13994?\nAnswer: 15888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/(-15))\/(4\/162). Find the second derivative of 2*l**3 - 10*l - 12*l + u*l wrt l.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9133*x**2 + 2200*x**2 + 2197*x**2 + 2213*x**2 + 2521*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4876289.17 rounded to the nearest 1000?\nAnswer: -4876000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a week in seconds?\nAnswer: 30240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16641, -32846, -49055, -65268, -81485, -97706?\nAnswer: -113931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-3 + 2 + 3*(sqrt(2)*-2*2 + -1))*-1)**2 + 2.\nAnswer: 24*sqrt(2) + 291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2412.9998935 - -2413. What is g rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1817*f = -1821*f + 24584. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - 19. Let p = -4 - b. What is the units digit of 11\/p + 140\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/71420 and 61\/228.\nAnswer: 4070940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5452 and 75247?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14539, -14537, -14535, -14533?\nAnswer: -14531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26\/3 + 2\/3*v**2 + 28\/3*v.\nAnswer: 2*(v + 1)*(v + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1434323 (base 5) to base 3.\nAnswer: -1112221220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**2\/3 - 6*l - 32\/3 = 0. Calculate l.\nAnswer: -16, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19005927, -38011856, -57017785?\nAnswer: -76023714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fls when three letters picked without replacement from {s: 4, v: 3, n: 5, f: 4, l: 1, y: 3}?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*w - 138, -2*x = -2*w + 2*x + 52. 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: Collect the terms in 1659859*j - 3319741*j - 5*j**2 + 1659861*j.\nAnswer: -5*j**2 - 21*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.257 - 5.534. Let h = x - -0.277. Let p be (-3)\/((-3)\/(-2)) - -1. Sort h, p, 2\/15 in descending order.\nAnswer: 2\/15, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-13 - -3) + 10 - -63?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o = -3*o + 26 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20306 - 20268. What is the least common multiple of 300 and j?\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 343e1 + -b?\nAnswer: 343d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1316 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 347 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 6 = -4. Let l = 10 - a. What is the least common multiple of l and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.8717 to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, j: 4, r: 9}. Give prob of picking 2 j.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 4:58 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15*(12\/5 + -2 + 0). Solve x*v - 3 = 9 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 237, 233, 227, 219, 209, 197?\n\"Answer: -i**2 - i + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9059 divided by -237\nAnswer: 9059\/237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z = 19*z - 5*f - 15, -3*z + 21 = -3*f for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 12:38 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**2 - d. Let r be s(1). Is 178\/((-1)\/2*r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 14*j**2 + j + 6. Let d be c(0). Solve 8 = d*s - 22 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26298353*g**3 + 19823957?\nAnswer: 78895059*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 409791053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 11:44 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + v**2 + v + 3. Let g be u(0). Suppose -7*z - 3*w = -3*z, -12 = g*w. What are the prime factors of -1 + 144\/4 + z?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -1. Let v(w) = -w - 4. Let m = 20 + -5. Suppose 8*d = 3*d - m. Let j be v(d). Let t(p) = -p - 4. Give j*t(c) + 6*a(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 17*w**2. Let g be u(-1). Let x(o) = 15*o - 5. Let f be x(6). Calculate the highest common divisor of f and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347613?\nAnswer: 3, 7, 16553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 5427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3 = r. Let i be r + 3 - (0 + 2). Let w be i\/(-2) - -1*20. Solve -5*n = -5*g - w, g + 7 - 3 = 5*n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hkvhhffvkvkhhhtvthtv. Give prob of picking 3 t and 1 h.\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 26595.3159 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + 17. What is the least common multiple of 50 and o?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -24*c**3 + 2*c**2 + c. Suppose 5*m = -2*y + 157, -4*m = -2*y + 7*y - 129. Let a = -22 + m. Calculate the remainder when k(-1) is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + -2)*-1 + 6. Suppose 0 = -5*v + 2*i + 194 + 1776, 2*v + m*i - 788 = 0. What are the prime factors of v?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**2 + i + 3*i + 6*i**2 - 2*i**2 - 2*i**2 + 2*i**2 + (-1 + 1 - 2)*(-4*i**2 + 0*i**2 + 2*i**2).\nAnswer: 8*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2 - 28*t - 92. Give h(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11745856, -11745770, -11745684, -11745598?\nAnswer: -11745512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -1 + 0 - 10*t**2 + 7 + t**3 + 5*t + 4*t. Let n be 6\/(1\/((-3)\/(-2))). Let z be a(n). Solve -3*l - 12 = -z*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4736124 + -11?\nAnswer: 4736113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/6 (b) 0 (c) 1\/5 (d) -1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by -30\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of w**4 - 2*w**3 + 11*w + 2 wrt w.\nAnswer: 12*w**2 - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + 4)*1\/1. Let y(b) = 3*b + 95. Let t be y(-22). Suppose -p = 2*a - 9, p + t = 2*a + 6*p. Solve -8 = a*w - q*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-3))\/(4*1\/(-6)). Sort 3, v, 7 in increasing order.\nAnswer: v, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m**2 + 66*m - 34. What is the remainder when 82 is divided by y(-14)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11627549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 82.8 or -5?\nAnswer: 82.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 660461 = -1084539. Round z to the nearest ten thousand.\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -807 (b) -11 (c) -753 (d) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*q + 53*q + 14 = 0, 348 = -109*o - 3*q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 4299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3494 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98231 + 188004 = 4*j - 44313. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 5*r = 14, 20*a - 1 = 15*a + 2*r for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5354*w + 32122. Give r(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**3 - 7664457*r**2 + 4895321259840*r + 4895328924300 = 0. Calculate r.\nAnswer: -1, 1277410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -171050, -171031, -171014, -170999, -170986?\n\"Answer: -n**2 + 22*n - 171071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 8 = -0. Suppose 2*x = 2*a - 2, 5 + g = -x + 4*a. Suppose -y + 6 = 3*n, 2*y + 59 = -5*n + 69. Is x bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26.7973 * 5.2.\nAnswer: 139.34596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**2. Let r(t) be the third derivative of -79*t**5\/20 + t**3\/6 + 1459*t**2. What is p(r(k))?\nAnswer: -168507*k**4 + 1422*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**2. Let w(n) = n**2 - 17*n + 32. Let t be w(2). Let r(g) be the third derivative of 0*g**3 + 0*g - 1\/12*g**4 + 0 + t*g**2. What is r(q(d))?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.736 - 5.736. What is the closest to 0.3 in 1, h, -31?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15324506841814033.00000041 - -15324506771856637. Let a = -69957438 - b. Let o = -42 - a. What is o rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1944.014635 - -1944. What is g rounded to four decimal places?\nAnswer: -0.0146","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 25\/8 of a millisecond?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q = -12*q - 6, 0 = -2*g - 4*q - 2080. Let z = -11476\/11 - g. Solve 0*i + 0 - 2\/11*i**3 - z*i**2 = 0 for i.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.3 - 5. Let c = -10.67 - -11.2. Let n = c - 0.03. Sort 2, y, n in descending order.\nAnswer: 2, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 779, 127\/76, -2?\nAnswer: 779","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*w - 12 + 12.\nAnswer: 19*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mrmomrmoaram.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 83, 170, 257, 344, 431?\n\"Answer: 87*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8495 - -10365. What is the greatest common divisor of d and 990?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -668*n + 7 - 2 + 631*n - 4*n + 0*n + n + (3 - 5 + 0)*(3 - n - 3) to u + d*n and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1798655893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1205.859 and 14.\nAnswer: 16882.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000076772904 to seven dps.\nAnswer: 0.0000768","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5*h + 210, -2*s = 5*h - 144 + 46. What is the remainder when s is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4*(3*(sqrt(475)*1 - sqrt(475)) - sqrt(475))*-1 + 1).\nAnswer: -6 + 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1056472, -2112943, -3169414, -4225885, -5282356?\n\"Answer: -1056471*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -464378 - 2175757 - 1006449 = -72*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 271 + -263 - (1 + (-2 - 0 - 6)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/(3*(-2)\/45)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -667\/884 - -1\/221. What is the closest to w in -0.5, -3, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 11*b**2 - 1456*b + 195. Determine t(44).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1030 - 1027. Suppose 545 = 6*b - b - 3*o, 0 = 5*b - 2*o - 545. Suppose -j*m = 22 - b. Calculate the remainder when 82 is divided by m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 10 = -2*u. Let i(z) = -z**3 - 10*z**2 - 9*z - 15. Let l be i(u). What is the highest common divisor of 15 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-15) - (-14)\/(-10). Suppose i - 3*k = -17, -4*i - 40 = -0*i - 5*k. Sort i, 5, p, 4 in descending order.\nAnswer: 5, 4, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 694, 127, -74.\nAnswer: -74, 127, 694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ca9fb0 - -4?\nAnswer: ca9fb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-2\/21))\/(y\/((y*y*y\/(y*y**5\/y*y))\/y*y)*y)*(y*y**(-1)*y)**(1\/37) assuming y is positive.\nAnswer: y**(-3013\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 479 (base 15) to base 10.\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -7*b**2 + 3*b. Let i(o) = 3*o**2 - o. Let a(x) = 2*c(x) + 5*i(x). Let p be a(3). What are the prime factors of (p\/2 - -1) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -1173618.\nAnswer: -1\/391206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**4\/x*x\/(x**(11\/6)*x) assuming x is positive.\nAnswer: x**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 5*h - 12 = -h, h = -4*c - 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 110 + -37. Let u = y + 15. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 448 and 5952.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1367, -2733, -4103, -5477, -6855?\nAnswer: -8237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.6, -9, 0.0738, 5?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 5*f**2 + 15*f + 29. Determine q(-5).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + 1 + -3)*3\/6. Let q be (3\/(-3))\/(n\/9). Calculate the highest common divisor of 6 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 202 = 139. What is the remainder when f is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -262102*r**4 - 123*r**2 - 931748*r - 48?\nAnswer: -3145224*r**2 - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 123*t - 52656. Determine n(-299).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 10:35 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 628 is divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - n + 17964 = -3*z, 17963 = 5*z + 2*n. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313990 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -184?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yysysyyyyy. Give prob of sequence ss.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1434.24 litres?\nAnswer: 1434240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssskssskksstssst. What is prob of picking 2 t and 1 k?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -331312 (base 4) to base 7.\nAnswer: -14353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40\/9 at least as big as 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2423 is divided by 570?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3679 and 110936.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -2) + (-3 - -2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 68198 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5187*a + 2353*a + 2356*a + (-1 + 0 - 1)*((-2 + 2 - 1)*(-a + 5*a - 2*a) + 0*a + 0*a + a).\nAnswer: -476*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3032828 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 7*c + 1. Suppose -2*f - 2 = -2*b, b - 2*b = 3*f + 19. What is m(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, j: 3}. What is prob of picking 1 c and 1 j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*u**4 - 12*u**3 - 4287 with respect to u.\nAnswer: 20*u**3 - 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-71)\/(-67095)*90*-87?\nAnswer: -58\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -5*c - 20. Let h(k) = 3*k - 6. Let x be h(c). Solve 2*w - 3*w = 4, -2*i - w - x = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-896)*48)\/(10*(-5)\/(-175))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1635518097.\nAnswer: 3, 11821, 15373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**7*f*f*f*f**(-12))**(12\/13) assuming f is positive.\nAnswer: f**(-24\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -23, -79, -207, -443, -823?\n\"Answer: -6*c**3 - 14*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-8)*r)\/r**(3\/7))**(-24)\/((r**(1\/2))**(-2\/9)*r*r**(2\/5)*r*r**(3\/8)*r) assuming r is positive.\nAnswer: r**(440047\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*m = 9*m - 699050. What is m rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 18, -1?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 183*v**2 + 0*v**2 - 679*v + 679*v in the form l*v**2 + z*v + m and give l.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(2448)*3 + 2 + (((sqrt(17) - (sqrt(17) + 2)) + 0 + 5)*-3)**2.\nAnswer: 79 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(-24)\/(-3564)*(-126)\/12*36\/(-42).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 3, -0.3, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 914756?\nAnswer: 2, 23, 61, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 89798*m - 89789. Determine k(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + -5*(1 + sqrt(275) + 5 + (1 + sqrt(275) + sqrt(275))*3))*3.\nAnswer: -525*sqrt(11) - 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -13*a - 134, 5*a - 21 = -2107*b + 1052*b + 1056*b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*c*p*s**4 + 2*c*p*s**3 + 3*c*p*s**2 + c*s**2 - 2*c*s - 2*p*s + 2*s**4 wrt s.\nAnswer: -96*c*p*s + 12*c*p + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -16.5277.\nAnswer: -6.61108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/5 - 147354*o\/5 + 147356\/5.\nAnswer: -2*(o - 1)*(o + 73678)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 84, 159, 274, 435?\nAnswer: 648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.038 - -0.962. Let p = -3.5 + 3. Which is the nearest to l? (a) 1 (b) -3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 10:32 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/9, -5534, -4, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*z + 40 = 0, -3*s + 63 = -4*z + 3. Let r be (s\/12)\/((-5)\/(-15)). Let f(m) = -m - 2. What is f(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.140316 - -4.3.\nAnswer: 4.440316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 863 + 2*(-9)\/(-6)*-1. Calculate the greatest common divisor of 1599 and j.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311756 is divided by 480?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 1409476*d + 10 - 3 + 128860*d + 9. Let m be t(-6). What is m rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -160 + 6. Let q be r\/(-28) - (-1 + (-2)\/(-4)). Solve -f - b = -0*f - q, -2*f + 9 = b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1766482 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)*-2*6 + -4*(sqrt(78) - 2*sqrt(78)))\/(2*(2*sqrt(54) + sqrt(6))).\nAnswer: -4*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/9)\/(-8 - -4). Which is the closest to -2? (a) 5 (b) l (c) 1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(((-1)\/38*-6)\/(210\/210)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/8 + 6\/(-8). Let j(z) = -x + 0 - 1 - z. Let d be j(-2). Are -3\/2 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 e when two letters picked without replacement from ammmaameammmmm?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -36*m**2 - 22. Suppose -20*q = -38*q + 108. Let p(i) = 3 - 2*i**2 - i**2 + 17*i**2 - q*i**2 - 3*i**2. Calculate -6*b(s) - 44*p(s).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (1 - 8)) + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 6 - 10*(-12)\/60\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/169 + 162\/1183. Let m = -2 - -2.1. Sort 0.2, r, m in decreasing order.\nAnswer: 0.2, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-14*2)*2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 + -3.04. Let n = 463.251 - -9.649. Let a = 473 - n. What is the second smallest value in v, a, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 17*d**2 + 64*d + 5. Let o be t(5). Let g(m) = -2*m**2 + 3*m - 3. Let v(k) = -15*k**2 + 25*k - 25. Determine o*g(i) - 3*v(i).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 45011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15631 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 4*l = -5*a + 12, -4*l = -4*a + 16 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 560 and 980.\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3148.3608 rounded to the nearest 100?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14250 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: Simplify b*b*b*b*b*b*b**1*b**4*b*b**(1\/7)\/(b*b**(-2)) assuming b is positive.\nAnswer: b**(92\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**4*u - 42*m**3*u + 87*m**2*u + 202*m*u - 16*m + 5 wrt m?\nAnswer: 12*m**2*u - 252*m*u + 174*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 17\/6, -0.3, -0.5, 1\/6, -4, -0.4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a hour in seconds?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -11\/2 (c) 3\/2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**3\/6 + 5*t**2\/2 + t. Let m be d(9). Let c(u) = 0 - 3 + 17*u - 3. Let q(g) = 6*g - 2. Give m*c(r) + 11*q(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a milligram in micrograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 + 33*f - 9. Let q be h(-17). Solve i + 3 - q = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -74792*y**5 - 3*y**2 + y - 7692 wrt y.\nAnswer: -4487520*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 3*h - 840*t = 5*h - 844*t + 76, 4*h = -39*t - 103 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 2:09 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 61*a = -60*a + 3927 for a.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-18)*(-240)\/(-64).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-63)*-17 - 144\/168?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2004822\/286779 - (-7)\/(-1).\nAnswer: -1\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jwb when three letters picked without replacement from {x: 1, b: 5, n: 5, w: 5, j: 3}?\nAnswer: 25\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 5*d + 75. Let g be c(-7). Let x be 5*(-5)\/(-200) - g\/(-56). Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/120*(-16)\/(-6)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uduf. What is prob of picking 1 u and 1 f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b + 103?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/156*(-24)\/(-56)*21\/6?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 60*c - 601. What are the prime factors of r(-40)?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 345\/8 (c) 3 (d) 0.3 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 13, 299?\nAnswer: 299","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 25 - (54 + (-52 - -22))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a decade?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -506 + 1288626?\nAnswer: 1288120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*3\/2*(-8)\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13292 and 385468.\nAnswer: 385468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 207, 460, 811, 1308, 1999?\n\"Answer: 8*b**3 + b**2 + 194*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + -1 - 2*(sqrt(38)\/sqrt(2))**2)*4.\nAnswer: -156 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165369 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-14 - (-1 - -1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**22)**(-2\/99) assuming i is positive.\nAnswer: i**(-4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence se when two letters picked without replacement from eqvmsqvqsmsmi.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 4. Let f = -16625 + 16634. Solve -3*l + 15 = v + 3, -l - f = -h*v for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/6)\/(2 - (-712)\/(-360)). Are 75 and q non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76515 is divided by 900.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*j = -1286 + 36554, 8*j - 35202 = -3*k. List the prime factors of k.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6887467.\nAnswer: 41, 167987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02 - 5.02. Let n = 9 + m. What is the second smallest value in 0.3, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 19 = 2*p + 4*v, -2*p - 5*v = -24. Suppose -184 + p = -3*w. Calculate the remainder when w is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1936543272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/7 in 35, 5, -0.5, 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 + 11*d - 123. Give s(-10).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 604538929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.1 - -1.1. Let k = l - -7.0000024. What is k rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72975 is divided by 90.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 3\/4*d**5 + 0*d**3 + 0 + 8*d**2 + 0*d**4 - 2*d. What is the first derivative of l(s) wrt s?\nAnswer: 45*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2451 and 684.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3810 and 42185?\nAnswer: 160724850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28264063 or 28264062?\nAnswer: 28264062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -152332233\/28 - -5441008. Let u = -571 + p. Let c = 1\/7 + u. Which is smaller: 0.1 or c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-6)\/(y**3\/y*y)*y*y**(1\/5)\/y*y*y*((y\/y**(-2\/9))\/y)\/y assuming y is positive.\nAnswer: y**(-341\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1627.00693 - -1627. What is p rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1110*v**4 - 2*v**2 - 113?\nAnswer: 26640*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -99 in 10, -5\/2, 0.4, -2\/5?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k**5\/20 - 5*k**4\/12 + k**3\/3 + 3*k + 2. Let p(o) be the first derivative of r(o). Determine p(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15624 is divided by 5167.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 11 + 5 = 0. Suppose 3*q = -2*c - 0*c - 6, 0 = -m*q + 2*c - 8. Let r = 109\/6 - 203\/12. Sort q, 0, r in ascending order.\nAnswer: q, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -104 + 107. Solve -i*c + 7 = 13 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 y when three letters picked without replacement from zvghyvddvydggzvggg.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1803724 is divided by 2877?\nAnswer: 2722","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-63)\/(-1) - (-48)\/(-12). Suppose 3*m = v - 47. Suppose 2*q = 4*s + 16, 4*q - m*s - 17 - 3 = 0. Sort q, -1\/8, -0.1.\nAnswer: -1\/8, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 2*n + 64, -r - 24*n + 9 = -16*n - 12*n for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 9*c - 1. Let f be p(-5). Let m be (-741)\/f - (-2)\/(-7). What is the highest common divisor of m and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 2739?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -30322 and -32.\nAnswer: -30354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7504 divided by 28.\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 2 + 0\/10. Suppose -84 = -4*a + r*f, 0 = -4*a + f + 111 - 31. Calculate the remainder when (-60188)\/(-656) - 5\/(-4) is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2526, -2513, -2466, -2367, -2198, -1941, -1578?\n\"Answer: 3*z**3 - z**2 - 5*z - 2523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 4*g + 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*m - 5, -5*m - 25 = -3*n - 2*n. Suppose -3*d + 7 = -n. What is the smallest common multiple of 11 and d?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 9*p**2 + 8*p - 7. Let g be t(7). Suppose 5*a + 82 = g. Calculate the greatest common divisor of 143 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/35 - 4\/14. Suppose -4*b - 8 = v, 2*g = -b - b - 154. What are the prime factors of 2\/(24\/g)*-4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/5616 and -81\/32968.\nAnswer: 1780272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/53 in 11, 22, -1, -2\/8101?\nAnswer: -2\/8101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 5*a + 2*n - 6 = 0, -4*a - 3*n + 9 = 0. What is the lowest common multiple of 2\/4 + 9\/2 and (a\/(-1) - 2) + 6?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -205*(-3 - ((-6)\/(-3))\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1709*b**2*f**3*o + b**2*f**2*o**2 + 35*b*f**3*o - 11*f**3*o**2 + f**3 wrt b.\nAnswer: 3418*f**3*o + 2*f**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uql when three letters picked without replacement from aheuauauqauul.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b*b*b**(-9)*b*b\/b**(4\/9)*b)**(1\/53) assuming b is positive.\nAnswer: b**(-22\/477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-1)*(-15)\/30.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6612 divided by 19?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*d - 18, n + 5*d = 29 + 1. Suppose -4*y = -3*h - 35, 3*y = 2*y + h + n. What is the remainder when 21 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a9 (base 15) to base 5.\nAnswer: -1114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 123\/1025*80\/(-96)*14?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1836402 and 335537?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, r: 15}. What is prob of picking 3 u and 1 r?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*d = t - 1, -2 = -3*d - 2*t. Solve -x = -d*x + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*j - 6 = 178*j, -5*j = -7*k + 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**2 - 6*h + 8. Let k be m(4). Calculate the greatest common factor of 16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**3 - 5*w + 5*w + (0 - w + 0)*(-6*w**2 + w**2 + w**2) + (-6*w + w + 2*w)*(-3*w**2 + w**2 - 2*w**2).\nAnswer: 18*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - 3 - (-4 + -6). Suppose 0 = h - 2*m - 13, -4*m + l*m = -4*h. Suppose 0 = 2*c + h - 13. Solve c*a + 10 = -4*r - 10, -4*a - 20 = r for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36117716 to the power of 1\/2, to the nearest integer?\nAnswer: 6010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3aa43 - -6?\nAnswer: 3aa49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37 - 39) + (-2 - (1 + 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/10*-1*4. Suppose -p*h - 2*n = -2, 0*h - 2*h + 14 = -n. Is h a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*i + 108*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 + 57. Suppose -r*s + 2 = -13*s. Suppose -4*o - j = -s*j - 213, -j = 3*o - 165. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96, 75, 54, 33, 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 5:20 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**2 + 4*r**2 + 3*r**4 - 1 - 4*r**2 as n*r**2 + f*r + w + i*r**3 + q*r**4 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 1:49 AM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-9 + 0 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of 37*k**4\/8 - 5*k**3\/6 + 9*k**2. Let c be j(5). Suppose 3*z = -3*h + c - 202, -5*z - 4*h = -575. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**5 - t**4*y**3 - 21*t*y**2 + t*y + 2*y**3 wrt t?\nAnswer: 20*t**3 - 12*t**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + 1 + -7 + (22 - 7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13208*c**3 - 663*c**2 + 170269051*c?\nAnswer: 79248*c - 1326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1))**(2\/3)*(l*l**(-4))\/l**3 assuming l is positive.\nAnswer: l**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -d - 0*d + 5*v, 4*v = -4. Which is the biggest value? (a) -2\/3 (b) d (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13, -16, -19, -22, -25?\n\"Answer: -3*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -624, -625, -628, -633, -640?\n\"Answer: -b**2 + 2*b - 625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -175572975*x**5 + 2*x**2 - 1896*x + 933 wrt x.\nAnswer: -10534378500*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (144\/(-54))\/(6\/(-9)). What is the second derivative of 416*c**4 + 428*c**4 - 792*c**v + 4 - 2*c wrt c?\nAnswer: 624*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, w: 1}. Give prob of sequence sws.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w + 5*w = -91 - 189, 0 = -4*l + w - 28 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 - 402?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(245)*-1 + sqrt(10)\/(sqrt(98)*1) - (sqrt(100)\/(2*sqrt(5) - sqrt(5))*6*1)**2.\nAnswer: -720 - 48*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 13*x**4 - 4*x**3 - 4*x - 11. Let n(p) = 25*p**4 - 7*p**3 - 7*p - 21. Let b(l) = -4*n(l) + 7*u(l). What is the first derivative of b(h) wrt h?\nAnswer: -36*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*b*n**3 + 236*b*n - 1365*n**3 + 40*n**2 wrt n.\nAnswer: 24*b - 8190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25176, -50673, -76168, -101661, -127152?\nAnswer: -152641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2 (b) 1 (c) -2\/7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a week in hours?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -205666 by -12098.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 184 + -43?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9972650849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -584 = -4*y + 4*o, -3*y + 4*o = -0*o - 438. What is the remainder when y is divided by (-42)\/(-8)*(0 + 4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2, 3*r + 0*r - 2*h = -20. Let d(u) = 3*u + 26. Let p be d(r). Suppose 0 = -p*t + 2*g - 7*g + 451, 4 = 4*g. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssss. Give prob of picking 4 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 5. Let d = 7 + -6. Let t = d - r. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3755771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1158 divide 3639017316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(-3))\/(2\/(-7)*84\/(-36)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t + 7. Let w(h) = -3*h - 7. Let y(r) = 5*f(r) + 7*w(r). Let z = 0 - 14. Determine y(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/7 + (-69966)\/2366\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**4 - 6*r - 3*r**3 + 4*r + 11*r - 2*r to a*r**2 + n*r + q + y*r**3 + b*r**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5\/42 - 31\/84. Suppose -6*r + 2*i - 18 = -2*r, 0 = -5*r + 4*i - 30. Which is the closest to d? (a) 2\/11 (b) 0.3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 155 divided by 155\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 7*x + 5*x)*(-1 + 1 + 2*x) - 2*x**2 + 0 + 0 + (-2*x - 2*x + 6*x)*(5*x + 2*x - 5*x) - 3*x**2 - 2*x**2 + 4*x**2.\nAnswer: 21*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 17160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1930 - -3038. What is the greatest common factor of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*s + 5*s**4 - 4*s**4 - 23*s**4 - 2*s**4 wrt s.\nAnswer: -288*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*z**5 + 18950*z**4 - 585828*z**3 + 1817416*z**2 + 37483056*z + 8233344 = 0. What is z?\nAnswer: -6, -2\/9, 14, 24, 1021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -320.000000346 + 320. Round w to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 63*r**2 + 3*r + 464. Determine j(-63).\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8097594707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.033 + -0.033. Which is the third smallest value? (a) -2 (b) -0.2 (c) l (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 1 + 11 = 0. Suppose 0 = -m*r - 10971586 - 12228414. Round r to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 8:13 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l - 8. Let n = -54 - -11. Let d = -39 - n. Let g be u(d). Solve -2*v + 2 = j - 4*j, j - 3*v + 3 = g for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 17*p. Let r(j) = 280 - 91 + j - 189. What is b(k) - 3*r(k)?\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 32 = -2. Find the third derivative of -1 - 10*b**2 - 82*b**i + 4*b**5 + 29*b**6 + b**3 - 4*b**5 wrt b.\nAnswer: -6360*b**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 134347921?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*l - 3*l - 3 = 0, 9 = -o + 3*l. Suppose o = 12*z - 28589 - 26047. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 97 (b) -4 (c) 1 (d) -1 (e) 0.55 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -2\/41, 0.49, -0.02484, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2358 - 1205 - 1203)*(-13*c**2 + 9*c**2 - 16*c**2).\nAnswer: 1000*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -7. Suppose 0*o + 22 = a*o. Does 3 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59856.\nAnswer: 2, 3, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1084\/12 + 2\/(-6). Suppose -4*j - j + x = 0. Solve -4*q - 2 = -j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1694 - 851 - 19*v**5 - 26640*v**3 - 843 + 14*v**5 + 25920*v**2 + 725*v**4.\nAnswer: -5*v**2*(v - 72)**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o - o - 2*o - 3*o + 3*o + 3*o + (-4*o + o + o)*(1 + 1 - 3) + 2*o + 4 - 4 to the form a*o + j and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -8044.6.\nAnswer: -8044.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68422.17 grams to kilograms.\nAnswer: 68.42217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -14 (c) 0.4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**5\/60 + r**4\/12 + r**3\/2 - 2*r. Let p(u) be the second derivative of w(u). Is p(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/7)*k*k**(-3\/4)*k)\/((k\/(k**(3\/4)*k))\/k*k\/k**(-3)*k*k))\/(((k*k**(-3\/8)*k)\/k**(-4))\/(k\/k**(-6)*k**6)) assuming k is positive.\nAnswer: k**(237\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(-1\/4)*s*s*s**(-2\/9)\/s*s*s)\/(s*s**(-1\/2)*s)**(-48)*(s\/(s\/(s*s**0)))**(2\/35)*s**(-2\/3)\/(s**0\/s) assuming s is positive.\nAnswer: s**(96917\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102662 is divided by 60?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 140*g**3 + 2*g**2 + 45*g - 3.\nAnswer: 840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*q - 343, 0*q + 795 = 5*h + 5*q. Let t = -156 + h. Solve z + 10 = t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1624 is divided by 260.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84 + 84.042. Let g = 0.058 + v. Which is the nearest to 0.1? (a) 2 (b) g (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93037 > 1767680\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -1\/3*d**3 + 0*d**5 - 3*d + 0*d**6 + 5\/21*d**7 + 0*d**2 + 0*d**4 + 0. Find the second derivative of j(p) wrt p.\nAnswer: 200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4024)\/(-11) - ((-10)\/55 - 0). Suppose -a = -g - 41. What are the prime factors of g?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13122120130 (base 4) to base 9\nAnswer: -3581344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 18 + 10. What is the third biggest value in -2\/13, o, -2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 273, 1047, 2331, 4119, 6405?\nAnswer: 9183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaat. Give prob of picking 2 t and 2 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -876?\nAnswer: -875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 858a (base 11) in base 6?\nAnswer: 124315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5443 + -410?\nAnswer: -10253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2748\/11 + 250. Let p = -318 + 316. Put w, 4\/7, p in increasing order.\nAnswer: p, w, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x**(-2\/25))\/x*x*x**(-15))**(17\/6))**(-1\/48) assuming x is positive.\nAnswer: x**(1853\/2400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - ((-3 - -10) + -4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3840 + -4?\nAnswer: 3836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwfwwf.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 + 0*b**3 + 6*b**3 + 9*b - 3*b. Let o(l) = -11*l**3 - 3*l**2 - 11*l. Calculate -3*o(t) - 5*x(t).\nAnswer: 3*t**3 - t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (25290\/10)\/(12\/8)?\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(3) + -5 + sqrt(5) - (-1*sqrt(45))\/sqrt(9))**2.\nAnswer: -30*sqrt(5) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - 16. Suppose -2*s - 2 + 24 = 0. What is the lowest common multiple of r and s?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1188))\/(-2*sqrt(108) - sqrt(108)).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = l - 15. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**3 + 2*u**2 - 1. Let q be f(1). Suppose -q*v = -4*g + 884, 5*g - 844 = -4*v + 261. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -354507 or -354504?\nAnswer: -354504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5857 = 12*h + 1213. What is the highest common divisor of h and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 12:27 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x**2 + 4*x + 3. What is the remainder when v(-2) is divided by (-5 - -1) + 4*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 7*q + 7. Let i be r(6). Let f be (2\/10)\/(14\/14). Let k = 60 + -178\/3. Which is the closest to k? (a) -2\/3 (b) f (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 0 - 5 + (-2 + 3 + 2)*(-1 - 4 + 3 + 0 - 1 - 1 + 2 - 6 + 3 + (-6 + 4 + 0)*(1 - 1 - 1)))*(4726 - 4726 - 80*a).\nAnswer: 560*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1\/b)**(-22\/7)\/(b\/(b\/b**6)*b*b*b**7*b*b)*(b*b**(-2\/5)*b)**(-9\/2)*b**(2\/7)\/b**(-1\/11) assuming b is positive.\nAnswer: b**(-9172\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 6346.717369 to 0 dps.\nAnswer: 6347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -4 + 5 + -3 + 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 7:24 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30883 - 24144. Calculate the remainder when b is divided by 27.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -l**2\/2 + 2*l - 2. Suppose 2*d - 5 = d + 2*z, -6 = -2*z. Let q = 15 - d. Calculate k(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54 - -37. Let b(m) = 5*m**2 - 15*m + 1. Let c(f) = 14*f**2 - 44*f + 2. Let k(y) = g*b(y) + 6*c(y). Determine k(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + k + 70 = 0, k - 138 = -2*i + 2*k. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-75 + 57 - (-1 - -9)) + 7 + -2\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -325 - -356.6. Let j = -32.9544 - -0.9544. Let f = p + j. Which is the closest to 1? (a) -4 (b) f (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(3*(-12)\/90).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3025*d**2 - 748770*d - 46335249.\nAnswer: -(55*d + 6807)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120254 (base 8) to base 15.\nAnswer: -c2c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -10, 12*n = -4*b + 16*n + 96. Solve 3*r - 6 = -2*z, 0 = -5*z - 4*r + b - 4 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*l + 14*l - 14*l**2 + 156 + 12*l**2 - l**2 wrt l.\nAnswer: -6*l + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 0*x**2 + 7\/12*x**4 + 0*x**3 + 0 + x. Let b(p) = -2*p. Determine z(b(y)).\nAnswer: 28*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-95 + 78)\/((-4)\/(-2) - 1). Let t(f) = -39*f. Let o(w) = 13*w. Calculate v*o(b) - 6*t(b).\nAnswer: 13*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 21*f**2 - f - 19. Let d be j(-21). Solve 3 + 3 = -d*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92064 to the power of 1\/2, to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w**7\/1260 - 23*w**4\/3 - 9*w + 4. Let f(r) be the third derivative of x(r). Let b(i) = 18*i**2. Give f(b(z)).\nAnswer: -648*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(49)\/((sqrt(63) - (sqrt(63) + sqrt(126)\/sqrt(2)))\/sqrt(9)).\nAnswer: -sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400 is divided by 34?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-3\/28))*i)\/((i*i**(3\/17))\/i) assuming i is positive.\nAnswer: i**(443\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -9*m - 9*m**2 - 1 + 10*m**2 - 2*m + 10*m. Determine i(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*6*(-3)\/12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -2 + 19 + 10.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + -2 - (-4 + 2). Suppose 4*r - 6*r - 3*y + 14 = 0, y = x. Suppose r*w - 14 - 50 = 0. Calculate the greatest common divisor of 160 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-984*u + 1499*u - 858*u)*((-3 - 4 + 4)*(0*u - u + 0*u) + 0*u - 3*u + 5*u) to p*u + j*u**2 + b and give j.\nAnswer: -1715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xmic when four letters picked without replacement from {m: 1, j: 1, a: 1, x: 1, c: 2, i: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1170 - 519. Is p a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*g = -745 + 289. Solve 19 - 11 = g*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 197607 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q**2. Let h(d) = 87*d + 29. Determine y(h(z)).\nAnswer: 30276*z**2 + 20184*z + 3364","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*h - 23 = -3*n, -2*h = -3*n + 30. Calculate the least common multiple of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 17. Let x be z(-14). Suppose 3*b - w = x*w + 27, 3*w = 0. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/7 + 60*q\/7 - 288\/7.\nAnswer: 3*(q - 4)*(q + 24)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 4455000 to the nearest 100000.\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3323176 + 505?\nAnswer: 3323682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22983 is divided by 104.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/15)*f\/((f\/(f\/f**4))\/f)*(f*f*f\/((f*f**(-2\/9)\/f)\/f)*f)\/(f*f**(-7)) assuming f is positive.\nAnswer: f**(421\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45868680 by -424710.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l - 1. Let k be i(7). Let s = 13 - k. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1132 is divided by 52.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 + 4 - 1)*21\/(-6). Factor 6*k**2 - j*k + 14*k + 10 - 25*k - 21*k**2.\nAnswer: -5*(k + 2)*(3*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58*i**6 - 2*i**4 + 437*i**2?\nAnswer: 6960*i**3 - 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -282956*-0.61.\nAnswer: 172603.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 - 0.6. Let o = 453 + -678. Let d = 223 + o. What is the smallest value in 3\/8, d, t, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**6\/120 - 2*a**5\/15 - 19*a**4\/4 - 29*a**3\/6 - 106*a**2 + 1. What is the remainder when l(16) is divided by 68?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 2*j - 11. Let h be s(3). Suppose x - 4 = 0, -2*f = -0*f + 4*x - 82. Suppose -z - r = -f, h*r = -r + 10. Does 31 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1580.696 centimeters in millimeters?\nAnswer: 15806.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 - 33) + (19 - (-3 + 2)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3955 - 2892. Is 1061 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 7*d**2 + d + 1. Suppose -4 = -5*s - 39. Calculate l(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3166, -3158, -3150?\n\"Answer: 8*w - 3174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 10*c**3 - 46*c**2 + 32*c + 7. Determine l(4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65)*-2*2 + sqrt(65))\/(sqrt(35)\/(sqrt(7)*1)))**2 + 0.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - r + 20, 3*s + 142 = -3*r + 166 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -471?\nAnswer: -476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 11*b - 11. Let n be a(-9). Suppose -v + 0*v + n = 0. Solve 2*c - 1 = -v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.6 + -3.3. Let h = -0.3 + q. Let t = -1.9978 - h. Round t to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -785 - 1\/2*d**3 - 391*d**2 + 2353\/2*d = 0.\nAnswer: -785, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = 2*z + z - 5*f, 3*z - 118 = 2*f. What is the greatest common factor of z and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 12:07 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 23*u + 3. Let t(l) = 11*l + 1. What is -5*t(s) + 2*x(s)?\nAnswer: -9*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -313*j + 894674 - 1789343 + 894669 - j**2.\nAnswer: -j**2 - 313*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1\/5, -0.529 in decreasing order.\nAnswer: 0.5, -1\/5, -0.529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(112)*-3)\/sqrt(8)*3)\/(-5*sqrt(14)\/sqrt(2)*-3))**2*-1.\nAnswer: -18\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -172 + 172 - z. Let n(g) = -2*g. Give 5*i(l) - n(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -158\/7? (a) -0.1 (b) 0 (c) -4 (d) -6\/25 (e) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4287346*q + 4287346*q - 2651*q**2 + 5672 wrt q?\nAnswer: -5302*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 181 and 67164937?\nAnswer: 67164937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*k**2 - 44*k**2 + 88*k**2.\nAnswer: 137*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, z: 2}. Give prob of sequence yz.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -15. Let m = -3.7 - g. What is the biggest value in m, 1, 3\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.986135 to 2 dps.\nAnswer: -1.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2505439 - 96740561 = 7*x. Round x to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16038348 to the nearest integer?\nAnswer: 4005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -213 + 39. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d = 50*d - 356 + 23 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*q = 15*q - 90 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -35, -17, -13, -71, -239, -565, -1097, -1883?\n\"Answer: -8*u**3 + 41*u**2 - 49*u - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1202251 (base 8) in base 11?\nAnswer: -2050a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4016 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6350893.\nAnswer: 61, 104113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/140964 and -61\/102.\nAnswer: 140964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 y when two letters picked without replacement from cvycvccvvccvycc?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10236 + -10?\nAnswer: 10226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) + -1)*2 - sqrt(500))**2 + (0 + sqrt(500) - sqrt(500)) + 2 + 2*sqrt(500)*-3 + sqrt(500) + (sqrt(500) - (5 + (2*sqrt(500))**2)).\nAnswer: -1499 - 80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2\/17*w**4 - 2\/17*w**2 + 0*w + 4\/17*w**3 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.2 (b) -5 (c) -0.8 (d) 4117 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34075 and 13475.\nAnswer: 18366425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -30252 - -66a?\nAnswer: -2b7a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pabbpaaua. What is prob of sequence bpp?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -41, -34, -29, -32, -49, -86, -149, -244?\n\"Answer: -o**3 + 5*o**2 - o - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13016, -105182, -355350, -842522, -1645700, -2843886, -4516082, -6741290?\n\"Answer: -13167*a**3 + a**2 + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**2*q*r*v**2 + 203*f**2*q*v**3 + 10*f*q*r*v**3 + 2*f*q*r*v**2 + f*r*v**2 - v**3 wrt f?\nAnswer: -2*q*r*v**2 + 406*q*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 3*n - 2*n + 27, -4*h = -4*n - 60. Let j be ((-115)\/(-69))\/(((-4)\/n)\/2). What is the greatest common divisor of 3 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1035, 2074, 3113, 4152?\nAnswer: 5191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 7:56 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -57*w - 228. Give d(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 342550.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4*a + 63. Calculate z(-1).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 10470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 5*s + 1. Let n be v(4). Let p be 11 + (-1 + -48)\/7. Let f = 21 + -24. Which is the biggest value? (a) n (b) f (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25531181.\nAnswer: 13, 271, 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6503 - -20358. Let o(r) = 13855 - d - r. Let b(l) = -13*l**2 + 6*l. Calculate b(o(y)).\nAnswer: -13*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4 + 444*q**3 + 860*q**2 - 1308*q.\nAnswer: 4*q*(q - 1)*(q + 3)*(q + 109)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ulo when three letters picked without replacement from {l: 2, u: 8, o: 2}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10320, -20242, -30160, -40074, -49984, -59890?\n\"Answer: 2*x**2 - 9928*x - 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**3 + l**3 - l**3 + (8*l**3 + 3*l**3 - 4*l**3)*(4 - 2 - 1) + 14*l**3 + 511*l - 511*l to a*l**2 + i*l**3 + b + t*l and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2125468308?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 448897*i**2 - 8*i - 11. Let a be w(-3). Let p = -34759914 - a. Round p to the nearest 1000000.\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001 (base 3) to base 7\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 849324631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**2 + 9*a + 10*a - 19*a.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11597 + 11595. Let f be (-2)\/6 + (-33)\/(-45). Which is the closest to f? (a) -1\/3 (b) -0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 9*l**2 + 21*l + 10. Let u be (22\/(-10))\/(8\/(-40)). Let t be s(u). Is 20 a factor of -411*t\/3 - -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -336 * -0.5\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -1303*y + 1328*y. Let l(s) = 5*s + 2. Let u be l(-3). Put 5, y, -1, u in decreasing order.\nAnswer: 5, y, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -2\/7 (c) -2185\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -385*n**2 + 84*n**2 + 69*n**2 + 156*n**2 + 11*n.\nAnswer: -76*n**2 + 11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**6\/120 - w**5\/60 + w**4\/24 + w**3\/6 + 2*w**2. Find x such that q(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 7. What is a in -7*a**5 + 2*a**4 + 0*a**d + 2*a**3 - 2*a**2 + 5*a**3 = 0?\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -p**4\/24 - 9*p**2 - 23. Let f(t) be the second derivative of a(t). Determine f(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(42))\/sqrt(7) - (sqrt(6) + sqrt(900)\/sqrt(6)))\/(2*(sqrt(330)\/(sqrt(10)*-2))\/sqrt(11)).\nAnswer: 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -82368.61 minus -0.08?\nAnswer: -82368.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 25, 0 = -61*x + 64*x + 5*w - 31 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -49, -100, -159, -232, -325, -444, -595?\n\"Answer: -d**3 + 2*d**2 - 50*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*k + 266*k + 99 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 404 + -353. Suppose 0 = -a*w + 43*w. Solve w*s = s + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -98.9 + 97.9. Let h = -165177.800007 + 165178.8. Let p = h + k. What is p rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, -58, 2, -17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 77*q**2 - 934*q + 419. Determine y(-11).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 181721 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 55849 times 7\nAnswer: 390943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -557*z**2 - 1136*z + 27. Find the first derivative of l(o) wrt o.\nAnswer: -1114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*g**2 - 43*g**2 + 5*g**3 + 175*g**2 - 77*g**2 + 26*g**2.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(1\/8)*j)*j**(-1\/6)*j)\/(j**(-3)\/(j*(j**(-1\/7)*j)\/j*j)) assuming j is positive.\nAnswer: j**(935\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65 + -68. Let y = b - -16\/5. Which is bigger: y or -0.01?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1271807 is divided by 96.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1136327526 - -2?\nAnswer: -1136327524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2478410.\nAnswer: 2, 5, 11, 22531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 - (-1 - (-180)\/(-3)) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60468 a multiple of 409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2854*t - 6. Let x(b) = 2863*b + 7. Calculate -5*v(s) - 4*x(s).\nAnswer: 2818*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 - 139 = -b. Let j = b + -131. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.32, -4, -133?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by -24.\nAnswer: -29\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 583303\/46 - ((-5)\/(-2) + -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 830 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, e: 2, m: 5}. What is prob of sequence eme?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19053 and 5278.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*(h**(-9)*h)\/h)\/(h*h**(-2))*h**19\/h**5)**(-33) assuming h is positive.\nAnswer: h**(-297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 329*v**2 - 2693*v + 1006. What is u(-337)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3026000 rounded to the nearest one hundred thousand?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 5*i + 1. Let f be g(2). Let c(v) = 3 - v**2 - 3 - 6*v - 1. Let q be c(f). Solve 0 = -5*p + 5*w, q*w = p - w for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (2614 + -2593 + (1 + 2 + -1 - 13))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5284 divided by 4337\nAnswer: 5284\/4337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 23900.\nAnswer: 3\/23900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 18\/7, -140.9, 7 in ascending order.\nAnswer: -140.9, 18\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*m**2 - m**3 + 9*m + 2 + 1 - 10*m + 9 to the form n*m + w*m**3 + s*m**2 + f and give s.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-8))\/(5764\/(-393)).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -657.6 - -645. Let g = l + 12.599999168. What is g rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62 - 50. Is ((-319926)\/36 - 2\/u)*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14887815 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001100 (base 2) in base 7?\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 2. Let u be m(0). Let r = 3.907 - 4.407. Which is the fourth smallest value? (a) -5 (b) -4 (c) u (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 5*s - w - 5531, 15 = -5*w. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1968\/11 in 0.2, -0.5, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99899?\nAnswer: 283, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3961347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.7 - 0.2. Let q = -2.9 - l. Let k be (-2)\/3 + 2\/6. What is the nearest to k in -0.3, q, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -5\/4 (c) -3\/68 (d) 2\/17 (e) -0.3 (f) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -1\/4 (b) -65 (c) 4\/5 (d) -4.546\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -429, -413, -387, -345, -281?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4*h**3\/9 + 2*h**2 + 14*h\/9 - 4\/3 = 0.\nAnswer: -3, -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k**5 - 348175*k**4 + 1515453395*k**3 - 1135610890*k**2 - 3409008640*k - 757596160 = 0. Calculate k.\nAnswer: -1, -1\/4, 2, 8704","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 59123739?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3*y + 21, -f + 27 = -3*y - 2*f. Let k be -85*y\/35 - 4\/14. Let p be (-36)\/(-9) + k\/1. Calculate the highest common divisor of 140 and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (-10)\/2 - (53 + -59). Suppose 2*f - 48 = -2*y, s*y - 2 = f + 46. Solve y = b + 3*b - w, b = w + 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154888350 - 0.79863?\nAnswer: -154888350.79863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -330314444 (base 5) in base 13?\nAnswer: -3a7bb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (-10)\/(-35) - (2 + -1). Which is the smallest value? (a) 1\/3 (b) 2\/17 (c) f (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5*-1*sqrt(162)*-1 - -5*(sqrt(162) + -2*(sqrt(162) + 0 + sqrt(162)) + sqrt(162))))**2*2.\nAnswer: 72900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(-2*sqrt(324)) + (-2*(1 + sqrt(19) + sqrt(57)\/sqrt(3)))**2.\nAnswer: 287*sqrt(19)\/18 + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**3 - 4*z**2 + 2*z - 2. Let r be l(-4). List the prime factors of r\/(6\/2) - 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 2:50 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 64, 129, 194, 259, 324?\n\"Answer: 65*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -16*y + 94. Let v be m(6). Let x(f) = -f + 2. Let w be x(2). Let p = w - v. Solve p*z = z - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6071.4 to the nearest 10.\nAnswer: -6070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 9*d**2 - d - 5. Let a = 177 - 164. Let u be (-715)\/(-99) + 4\/(-18). Let s(m) = a*m**2 + u + 30*m**2 - 56*m**2 + 2*m. Calculate 7*b(v) + 5*s(v).\nAnswer: -2*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 42596\/(-10720) + (2 - -2). Let i = 7\/201 - x. Sort i, -2, 3, 0.1.\nAnswer: -2, i, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from uuzaiuuuauzz?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -605\/1379 + 2\/197. Let f = 3 - 1. What is the nearest to 1\/5 in f, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - sqrt(70)*-2*5) + sqrt(70) - -1*sqrt(70)*-6)\/(sqrt(120)\/(sqrt(24)\/sqrt(2)) - ((sqrt(100)*-1)\/sqrt(10) - sqrt(10))) + -1.\nAnswer: -1 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411491058?\nAnswer: 2, 3, 11, 6234713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -3. Let a(v) = -v**3 + 22*v**2 - 33*v + 21. Let w be a(21). Let d = w + 694\/3. Sort 1.3, l, d in decreasing order.\nAnswer: 1.3, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((171600\/55)\/(-65))\/(1*-2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/888 and -79\/2?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2684*l + 2683*l = 4, 4*w - 12*l = -28 - 36 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/8*(-2 - 3542 - 2). What is the units digit of (1 - 3) + b\/(-27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -101 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -115.971 + 116. Let d = b - 195.029. Let z = d + 195.00000111. Round z to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-640)\/1 - (24 + -6)\/(-6). Let d = 659 + c. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 564 = -4*r, 2*r = -2*r - 2*n + 556. Suppose 0 = 6*k - 2*k. Suppose k = -0*p + 4*p - r. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 1 = -3*j - g, -3*j - 3*g = -24. Let v(a) be the third derivative of a**6\/120 - a**5\/30 - a**4\/8 + a**3\/6 + a**2. Determine v(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1404 (base 5) in base 2?\nAnswer: 11100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-14\/3)*w\/w**(2\/85))**(-3) assuming w is positive.\nAnswer: w**(941\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((-4)\/296*2\/7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, i: 1, j: 1, f: 2, e: 2}. Give prob of sequence ee.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o + 7255 - 5915 = 0. What is the remainder when 936 is divided by o?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 11*y - 1. Let x be i(1). Suppose 6*k - x = 4*k. What is the second derivative of 10*f + 4*f - 50*f - 5*f**k + 23*f**5 wrt f?\nAnswer: 360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**4 - 225*i**3 + 3120*i**2 - 8960*i - 61440.\nAnswer: 5*(i - 16)**3*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1007497475?\nAnswer: 5, 277, 145487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.05 - -0.15. What is the second smallest value in 0.4, u, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 173765 and 101237.\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 24100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -4*n - 4414 - 20718, 4*t - 25130 = 3*n. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 18989306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.94629 minus 2319.58?\nAnswer: -2324.52629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 5, y: 15}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/3 (b) 2\/11 (c) 16 (d) 1 (e) -5\/4 (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.62 take away 500.9362232?\nAnswer: -499.3162232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 79*d + 12. Let w be t(-9). Let m = -364 - w. Suppose -4*s + m = 5*p, 2*s + 5 = 2*p - 147. What are the prime factors of p?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 5*f**5 + 365*f**2 + 55*f**4 - 29 + 215*f**3 + 94*f + 109 + 91*f + 95*f = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -70 - -67. Let g(t) = t**3 + 2*t**2 - 2*t + 4. Let a be g(s). Sort 10, 2, a.\nAnswer: a, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.4 - 11.9. Which is the biggest value? (a) h (b) -1\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-408)\/34*(-1)\/(-2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 21. Let p be i\/2*(-12)\/9. Solve 0 = -2*t - 0*t + 2*o + p, 0 = 2*o + 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229064 divided by 5206?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-34*n - 112*n - 28*n)*(-4 + 1 + 2) + 3*n + 0*n + n + (4 + 2 - 3)*(3 - n - 3) as r + z*n and give z.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98724*p + 99311*p = 13501 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 6)*3*2\/6. Solve 14 = x*n - 6 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231489020?\nAnswer: 2, 5, 7, 23, 29, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -2891?\nAnswer: -2890.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away -13.567?\nAnswer: 13.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6236287 (base 9) to base 11.\nAnswer: 1975730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 12:10 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3822*l**3 - 10*l**2 + 5*l + 10. Let g(o) = -5733*o**3 + 14*o**2 - 7*o - 14. What is -7*a(u) - 5*g(u)?\nAnswer: 1911*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 32. Does 8 divide x(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/282 and -79\/198726?\nAnswer: 9340122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wtk when three letters picked without replacement from {w: 2, t: 3, u: 4, k: 2, i: 1, a: 8}?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -s**5\/105 + 19*s**4 - 15162*s**3 + 190*s**2 + 2*s. Determine d, given that t(d) = 0.\nAnswer: 399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 986696213?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - n. Let t(p) = 13*p**2 + 4*p. Suppose 2*f = -3*f + 15. Let m(b) = f*s(b) + t(b). What is the units digit of m(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010973156 to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -b + 15, -2*j - b + 0 + 6 = 0. Suppose -4*h + 3744 = 4*v, 3*v - 3264 = 2*h - 436. Suppose -7*o + j*o + v = 0. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-43 - 12993\/(-305)) + 24\/110\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**4\/7 - 34081*m**3\/7 + 34082*m**2\/7 = 0.\nAnswer: -34082, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 + 3 - 2 + (-3 - 2 + 7)*(-1 - 3 + 2))*(-i**2 + 2*i**2 - 2*i**2) in the form h + k*i**2 + f*i and give k.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13067478, -13067433, -13067386, -13067337, -13067286?\n\"Answer: g**2 + 42*g - 13067521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 12:27 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - s + 81. Is u(0) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4502 + 84?\nAnswer: -4418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1079345*j**3 + 539641*j**3 + 539657*j**3.\nAnswer: -47*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 596*i + 408*i + 1361*i to k + m*i and give m.\nAnswer: 2365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 0.3, 0.2, -1611.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12103467403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -4. Suppose 0 = -7*y + f*y + 774. Suppose y = -2*s - 4*u + 46, 0 = 3*u + 9. What is s rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*t - 112085 + 111573 = 0 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**3\/4 - 117*s**2\/4 - 30*s + 59 = 0 for s.\nAnswer: -2, 1, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -1. Suppose -28 = -c*b - 12. Are 4 and b unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 32*v**2 + 32*v + 28. Calculate c(33).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 - 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2389*m + 9642. Give y(-4).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 125.48 to the nearest integer.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -3*y + 5*y + 14, -4*b = -24*b + 23*b for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 24, -31, -150, -345, -628, -1011, -1506, -2125?\n\"Answer: -2*j**3 - 20*j**2 + 19*j + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5*f**3 + 10*f**2 + 13*f - 267. Is c(28) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7507545 divided by -6945.\nAnswer: 1081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 196200 divided by 20?\nAnswer: 9810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2090)\/247 - ((-2)\/12*-2 + 3975\/(-477)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 4180\/198 + 3.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/4)\/q)**15\/((q**8*q)\/q**(2\/23)) assuming q is positive.\nAnswer: q**(-1855\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1102121210 (base 3) to base 2\nAnswer: 110110111111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v - 224*v**2 + 15*v.\nAnswer: -224*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 648 and 256.\nAnswer: 20736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -1\/3 (b) 1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 220 (base 3) to base 15\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8355 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -6. Suppose -j*y - 3*p + 15 = 0, 2*y + p - 5*p + 2 = 0. What is the third derivative of -l**y + l**2 + l**2 - l**3 wrt l?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6286 divided by -98521?\nAnswer: -6286\/98521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3917 is divided by 1951.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/105 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (-126 - (0 - -1)). Suppose 96 + z = 5*v. Let c = v + -23. Calculate the lowest common multiple of 12 and c.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 7*p - 17 = 2*h, 0 = 5*h + 2*p + 28. Let k(z) = -29*z**3 - 9770*z**2 + 1010*z - 336. Let m be k(-337). Sort -25, m, 0, h in ascending order.\nAnswer: -25, h, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -16*g - 80, g - 50 = -2*r - 48 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5878 - 3779. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -156 >= -1103109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(8\/(-13 + 5)). What is the nearest to -1\/4 in 1.2, -5, k?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/((-29 + 0)\/(-1)). Let h = o + -46\/87. Sort 2, -3\/5, h, 0 in decreasing order.\nAnswer: 2, 0, -3\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -24 - (63 + -54).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 951 - 419. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/18 + 1 + (-30)\/27. Sort -0.1, w, 4\/9, -0.12 in ascending order.\nAnswer: w, -0.12, -0.1, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, i: 4, u: 1}. What is prob of sequence ut?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*p + 43*p + 62*p + 66*p**2 + 39*p.\nAnswer: 66*p**2 + 77*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -779652, -3118681, -7017064, -12474801, -19491892, -28068337, -38204136?\n\"Answer: -779677*v**2 + 2*v + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1. Let f(o) be the second derivative of -1\/30*o**6 + 3\/2*o**2 + 0*o**3 + m*o**5 + 0*o**4 + 0 + 3*o. Differentiate f(k) with respect to k.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -9*z - 2. Let k(f) = -f**3 + 2. Let c be k(0). Let l be w(c). Calculate the remainder when (-374)\/(-10) + 8\/l is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(425) - (sqrt(425) - (sqrt(425) + -1) - sqrt(425))) + -4*(sqrt(425)*1 + sqrt(425)))**2.\nAnswer: 180*sqrt(17) + 15309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 68677382?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/52 and -43\/852.\nAnswer: 11076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 5, -5, -7, 3 in decreasing order.\nAnswer: 5, 3, -5, -7, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**5\/5 - 236*h**4\/5 - 3384*h**3\/5 - 2908*h**2\/5 + 3382*h\/5 + 3144\/5 = 0 for h.\nAnswer: -12, -1, 1, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.58 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -5 + 3 - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.01, -19, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4455797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 + 1787364*z - 399333758562.\nAnswer: -2*(z - 446841)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -16, -9, 2?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 3, g: 9}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, o: 13, c: 3, p: 3}. Give prob of sequence cc.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 t when two letters picked without replacement from memmmmtetememmmmemm.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3016 divided by -5.\nAnswer: 3016\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(-60)*-3*(-4)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -7 + 25*w - 3 + 19 + 40*w**2 + 16. Let b be 2 + -3 + 8\/2. Let h(l) = -5*l**2 - 3*l - 3. Determine b*n(g) + 25*h(g).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 + 66. Suppose 5*u = s - 25, 3*s + i + 1 = -4*u. Sort 3, 1, u in decreasing order.\nAnswer: 3, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 82*t**4 - 360*t**4 - 62*t**4 + (-1 + 2 - 3)*(-t**3 - 2*t**2 + 2*t**3 + t**4 + t**3).\nAnswer: -342*t**4 - 4*t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2 + 14. Let u be (2\/r)\/(1\/36). Let v be (1 + u\/14)*-7. Solve -v*c = 6 - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -214384 or -214361?\nAnswer: -214361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.66 and -5.\nAnswer: -8.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 2:45 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q - 5. Let m be o(4). Let h be (-155)\/465*-21*2. Solve -m = 5*i + h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-450)\/4*(-18)\/27. Suppose 23 = -i + f. What are the prime factors of i?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, -5, 2\/5 in decreasing order.\nAnswer: 2\/5, -5, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 4 + 4)*(2*k - 2*k + 2*k) - k**2 + 4*k**2 + 4*k**2 + 2*k**2 - k**2 - 3*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 3. Suppose -6 + n = -m. Suppose 2*q - 6*q = -h + 14, 5*q + 28 = 3*h. Solve 3*p + 5 = -a, -5*p - 8*a - h = -m*a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 9152?\nAnswer: 9152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - (10\/(-65) + (-67)\/(-13)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117550590 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 - -31. Let n = c + 9. What is the nearest to 1 in n, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 3*h**7\/98 - 29*h**6\/35 + 51*h**5\/140 + 19*h**4\/14 - 8562*h. Suppose y(f) = 0. Calculate f.\nAnswer: -2\/3, 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-120))\/(-1)*2\/(-1).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**3 + c**3 + 5*c**3.\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-2) + -1 + -1. Suppose 229 = 3*p - v, f*p + 143 = v + 522. Suppose 0 = z, 2*z + z + 120 = 4*t. Calculate the highest common factor of t and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 445603454 to the nearest integer?\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence acc when three letters picked without replacement from {c: 7, p: 2, a: 1}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -117*g**5*m**3 - 35*g**5 + 3*g*m**3 - 2*g*m**2 - 31*g*m + 3*m**2 wrt g.\nAnswer: -2340*g**3*m**3 - 700*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 9:58 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 213512153 - 4?\nAnswer: 213512145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 6) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 7766056?\nAnswer: -7766058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 0.3. Let v = -0.8 + t. What is the smallest value in -2, v, 1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.031344677 rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1443 - 1388) + (-50 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02012 - -1.02012. What is the closest to 0 in -2\/13, g, 2\/9?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + l + 5*t + 24, 4*t = 0. What are the prime factors of (14\/(-3))\/(l\/828)?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 85*i**4\/24 - i**3\/6 + 2*i**2. Let t be (-2)\/(-3)*(-12)\/(-8). Let b be x(t). What is b rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + (2 - 2) - 11. Which is bigger: -13 or m?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooopoooooppopooo. Give prob of sequence poop.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 3\/4, 0, 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 at least 1.3388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3174 + -1?\nAnswer: 3173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19811107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 16) to base 6\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12043294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Put together 217313.98 and 0.053.\nAnswer: 217314.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1174.8166 to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 98900.7 decades in millennia?\nAnswer: 989.007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 7*n - 17*n**3 - 7*n**2 + 3*n**3 + 8 + 15*n**3. Let m be k(6). Suppose 3*t = -m + 26. Solve 0 = 2*p - p - t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*g**3 + 359*g**3 - 213*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -475*f = 4317*f + 191680 for f.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12221 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104*h**2*k**3 - h**2*k - 226*h**2 - h*k**3 - 27*h - 34*k + 2 wrt h.\nAnswer: -208*k**3 - 2*k - 452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*k + 50 = -a, -a - 96 = -4*k. Let r(f) = f**3 + 10*f**2 - 9*f - 3. Let c be r(-7). Calculate the greatest common divisor of k and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 75\/(-2)*(-1)\/5. Are g and 7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -206763 times -195\nAnswer: 40318785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130400 divided by 16300.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 + 6 + (5 - 0) + 2 + 9 + -31?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) -0.0229 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (536\/(-6))\/(5*(-4)\/30).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*u - 0. Let f = u - -3. Let r(l) = l**2 - 6*l**f + 4*l**2. Let g(z) = -5*z**2. What is g(r(y))?\nAnswer: -5*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 5918*i + 100332. Calculate l(17).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -2211?\nAnswer: 2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, -3, -4, 23 in increasing order.\nAnswer: -7, -4, -3, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 32263877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a**5\/4 + 99*a**4\/2 + 147*a**3\/4 - 29*a**2\/2 = 0 for a.\nAnswer: -1, 0, 2\/7, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - d - 27. Let x be n(6). Let b(i) = 8*i - 3. What is b(x)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 2*d - 3. Let y be q(-2). Suppose 3*m + 8 = 2*s - m, 0 = -5*m - 20. Put 3, s, y in descending order.\nAnswer: y, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.108099419 to 6 dps.\nAnswer: 0.108099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -89 + 252. Suppose -m - 4*m + a = -i, 9 = -3*i. Calculate the smallest common multiple of m and 16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102112110200 - 12?\nAnswer: -102112110212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + l - 2*l + 6)*(1 + 1 - 1) in the form y*l + r and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.02 + 0.020244. Round i to 5 dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16512354 + m**3 - 16512354.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 199952799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2690*x**2. Let j(m) = -2*m - 222. Give j(y(r)).\nAnswer: 5380*r**2 - 222","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 - o. Let l be d(1). Suppose -5*i + 5*z - 20 = 0, 7 = i - 3*z + 21. Let r(u) = -u - 2 + i - 2 + 2*u. Give r(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*r = -34*r + 4*m + 171198, -3*m - 85600 = -r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 14*w - 32. Let g(n) = 14*n - 34. What is -3*g(o) + 4*l(o)?\nAnswer: 14*o - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/94224 and 49\/21744?\nAnswer: 282672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3672 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2 - 2 - 1 + 2 + (0 - 1 - 1)*(5 - 4 - 2))*(12*g**2 - 629 + 629).\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11660030071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-28)\/72*3\/(210\/20)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1018438 + -1322045?\nAnswer: -303607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.07045311402+15334\nAnswer: 15334.07045311402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five quarters of a century?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b - 9*b - 32 + 35 + (-2*b - 1 + 1)*(2 - 2 + 3) to the form v*b + w and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 5*s + 56 - 61 = 0, -5*l + 9*s = -25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, n: 3, v: 2, k: 3, d: 3, y: 2}. Give prob of picking 1 d and 2 v.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 21 = 19. Let w = -4 - l. What is the remainder when 59 is divided by 6*((-128)\/w)\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/6 + (-44)\/(-3). Let j(v) be the first derivative of t*v**3 + 7*v**2 + 2*v**5 - 1 - 15*v**3 + 5. What is the second derivative of j(d) wrt d?\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14047 rounded to 2 dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 0*o**5 - 13\/24*o**4 - 9*o**2 + 0*o + 0*o**6 - 1\/21*o**7 + 0*o**3 + 0. Find the second derivative of s(x) wrt x.\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*d + 3713 = 7493 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/1 + (-190)\/(-38))*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 88 + -18. Let t = b - 66. Is 3 a factor of 2\/(t\/(-3))*(-16 - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 88a74918 - 5?\nAnswer: 88a74913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - (sqrt(91) + (sqrt(91) - (2*sqrt(91) + sqrt(91))))*3)*-4)\/(4*sqrt(63) - (sqrt(77)*1)\/sqrt(11)).\nAnswer: -16*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12422975? (a) 4 (b) -4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53\/6 - -1525\/174. Suppose 6 = 2*v + 4. Suppose 4*q - 5 + v = 0. Which is greater: q or n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -16*m**2. Let v(f) = -14 + 7 + 7 - 24*f**2. Let i = -4136 + 4129. Determine i*l(u) + 5*v(u).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 2:46 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 3*c - 6999994, -1 - 5 = 3*c. Round t to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 * 0.088\nAnswer: 0.00792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 35 + 28. Solve -11 = 3*r + u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31376.6 take away 181.37?\nAnswer: -31557.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8802 and 54.\nAnswer: 8802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssn. Give prob of sequence ss.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c**2 + 375*c - 365 = 0.\nAnswer: 1, 73\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7588 and 5420?\nAnswer: 37940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1)*f*f**4)\/(((f**(-8)*f)\/f)\/f**(-1\/3)))\/((f\/f**(-1\/17))\/((f**(-2\/31)*f)\/f))**36 assuming f is positive.\nAnswer: f**(-45491\/1581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c\/((c\/c**1)\/c)))\/c)**(-2\/45)*c\/(c*((c*c**6)\/c)\/c*c*c)*c*c**(-4\/5))**(-3\/10) assuming c is positive.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13448)\/492 + (-7)\/(-21)*81)*9\/17.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + i**2 + 1. Let a(y) = 3*y**3 - 9*y**2 - 2*y + 2. What is a(g) - 2*p(g)?\nAnswer: g**3 - 11*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -8*h**3 - 2*h**2 + 4*h + 1. Let q(r) = 17*r**3 + 5*r**2 - 9*r - 2. Calculate 5*p(g) + 2*q(g).\nAnswer: -6*g**3 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -79\/4 + 20. Let p = 225.9 + -229.831. Let x = 0.069 - p. What is the closest to -0.1 in -1\/4, x, z?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32853589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 23*g**2 - 22*g + 3. Let y be s(-22). Suppose -4*a = -v + 8, -v + y + 5 = a. Suppose 471 = v*w - 7*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 + 132*r**2 + 864*r + 1600.\nAnswer: 4*(r + 4)**2*(r + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-608)\/(-144))\/(-38)*1\/(116\/8)*3.\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-15 - -30) + -5 + (-27 - -10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27 - 23*t**4 - 27 + (6 - 3 + 7)*(0*t**4 - t**4 + 0*t**4) + (7*t - 7*t - 4*t**4)*(0 + 0 - 2).\nAnswer: -25*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 4*j**2 + 2*j + 10. Let k be v(-4). What is the third derivative of 4*n**3 + 29*n**k - n**3 - 12*n**2 - 9*n**3 wrt n?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 4:49 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -86 + 406. Is 53 a factor of n - (-4 + 13 + -7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -44 - -5cd?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 49, 89, 139, 205, 293?\n\"Answer: t**3 - t**2 + 36*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (28\/32)\/((-87)\/(-696)). Sort 1\/4, 21\/4, p, 1.\nAnswer: 1\/4, 1, 21\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.109 (b) -1\/4 (c) 4 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + t - 1. Let q(o) = -6*o**3 - 5*o + 5. Calculate 2*q(c) + 10*w(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -217 - -222. Suppose 0 = 4*b - l - 2160, 4*b - 5*l = r*b - 519. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 642098854?\nAnswer: 2, 321049427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**4\/3 - 526*x**3\/3 - 7420*x**2 = 0. Calculate x.\nAnswer: -210, -53, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3)*(-2 + 4 + 0)*(3 - 3 + g).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -237 divided by -2.\nAnswer: 237\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c*n**2*r + c*n**2 - c*n - 142*c*r + 2*c - n**2*r - 9*n**2 + 4 wrt n.\nAnswer: 4*c*r + 2*c - 2*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 456495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(-5\/7)*v)\/v)\/v)\/v*v*v**(2\/41)*v**(-1\/6)*v\/(v*v**(5\/6)))**(2\/17) assuming v is positive.\nAnswer: v**(-90\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -34645*t - 242558. What is k(-7)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 990. What is the highest common divisor of 30 and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(4\/7)*f**0)\/(f**(2\/35)\/f*f*f\/(f\/f**6*f)) assuming f is positive.\nAnswer: f**(-157\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19823593 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + k**5 - 1 + (-2*k**5 + 0 + 0)*(-3 + 3 - 1) + 2*k**5 - 4*k**5 + 0*k**5 + (3*k**3 - k**3 - k**3)*(1 + 1 - 1)*(10*k - 12*k**2 - 10*k).\nAnswer: -11*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 85 - 28. Suppose 4*b = -5*p - 1 - w, -4*b + 2*p = -8. Suppose a + b*a = 16. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300611 (base 7) to base 8\nAnswer: 143043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 28 = -2*a, -2*a - 3*a = -4*g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + b = 12, 0 = -24*g + b - 87 - 5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4737469999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1301.3 + -1302. What is the third biggest value in 1, 3, d, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 148 and 20794.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 7 + 4 + 1 - 3 + (2 - 5 + 1)*(-6 + 0 + 4) + 3 + 1 - 1)*(l**5 + 2*l**5 - 2*l**5).\nAnswer: 17*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a - 9. Let x be 4\/(-22) + (-136)\/(-22). Let u be k(x). Suppose -u*h + 10 = -q + 3*q, 0 = -4*h. Solve q*g + 11 = -14 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 8*f**3 + 4*f**2 - 4*f. Let q be y(3). Let a = q - 126. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6012457 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 83966.58 meters in centimeters?\nAnswer: 8396658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6312 divided by 3.\nAnswer: -2104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -1, -4.\nAnswer: -4, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9980.\nAnswer: 2, 5, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r - 14*r - 7205 - 24*r**2 + 7*r + 7205.\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 182654490?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 3. Let s be (4 + 1)*9\/((-315)\/(-14)). Which is the closest to -0.1? (a) x (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -2) + (-576)\/(-4). Let d = 37285 - 37140. Do w and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -81 (c) 0.03 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94093985 is divided by 235?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m + 17. Let h = 213 + -150. Suppose -6*o = -h + 105. Determine d(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -73*r + 946. What is k(13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 389584 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.6753 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 248 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a kilometer in meters?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 1360\nAnswer: 9520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 - 3249872*u + 6499760.\nAnswer: -4*(u - 2)*(u + 812470)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-9.81\nAnswer: -1.962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**4\/6 - 13*u**3\/2 + 3361*u**2\/2 + 539543*u\/6 - 186515 = 0. What is u?\nAnswer: -73, 2, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32534, -129963, -292338, -519653, -811902, -1169079, -1591178, -2078193?\nAnswer: -2630118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-6)*(-2)\/3. Let j = -329 - -329.4. Let u be (-9)\/(-30)*8\/(-18). What is the smallest value in b, j, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r = -55*r - 125 + 587. Solve r*s = 39 - 18 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5*k = 21, 3*c = 2*k + 5 + 5. Suppose -5*q + 3*v + 2*v = 30, 14 = -c*q - v. Calculate the remainder when 77 is divided by (-9 - q - -26) + -1.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, d: 3, z: 1, s: 1, b: 4}. Give prob of picking 1 b and 1 z.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.517886 years to months.\nAnswer: 54.214632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*l + 8, 5*l + 5*r = -5*r - 110. Suppose -188\/3 - 466\/3*a + 10\/3*a**l = 0. Calculate a.\nAnswer: -2\/5, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36.5 + 36.895. What is w rounded to two dps?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**3 - 21*f**2 + 105*f + 125 = 0?\nAnswer: -25, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307 - 2*p**3 - 305 + 175.\nAnswer: -2*p**3 - 437","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 133589?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/17 and -13 + (-632)\/(-48) - (-165)\/(-153).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 778*s**4 + 2*s**3 - 2056*s**2.\nAnswer: 18672*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0018967 rounded to four decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1576631 and 510?\nAnswer: 47298930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 19333*q - 58001. Calculate a(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-285))\/((-20)\/50).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -2*w + 4 + 3, 7 = 5*w - 2*o for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2384*k + 73366 = 684*k - 8234 for k.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 11*d**2 - 13*d + 14. Let q be z(12). Let w(v) = 3 + v + q*v - 4*v. Calculate w(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 324 - 324. Sort l, -1\/3, -8.\nAnswer: -8, -1\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 53*s + 34. What is the tens digit of q(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 745, 3002, 6763, 12028, 18797, 27070?\nAnswer: 36847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*q = -44, 5*q = -u - 0*q - 33. Let v(b) = -3*b**2 + 3*b. Let w(a) = -5*a**2 + 5*a. Determine u*v(i) + 5*w(i).\nAnswer: -i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9030 + 9053. Solve i*x = 83 + 32 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 30871?\nAnswer: 740904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1338)\/(-8028))\/((-1)\/(-138)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 8*n - 2. Let p be x(1). Suppose -p*h + 3*h = 36. Calculate the remainder when (-6)\/h - 42\/(-4) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 312 = 72. Suppose 2*y + 10*y = x. Solve o - y*s = 6, -2*o + s + 1 = -o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 - 3.7667?\nAnswer: -4.3667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**10\/(s**(-36)*s))\/(s\/s**2*s*s*s*s**(-1\/2)*s) assuming s is positive.\nAnswer: s**(85\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 198\/91 - 32\/13. Let z = 0 + -0.1. Let b(k) = -3*k**3 + 2*k**2 + k. Let i be b(-1). What is the nearest to z in i, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**4 - 140*s**3 - 1225*s**2 - 3430*s = 0. Calculate s.\nAnswer: -14, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -219720.4522 rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 178*q - 182*q + 43, 0 = 8*p + 4*q - 108 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 20*h = 118125. What are the prime factors of h?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 32\/(-2)*1179\/144*-4. Let s = o + -519. Which is smaller: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 98094412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3*z - 7 + 4, 0 = -2*i + 5*z - 9. Let r(c) = c**2 - 4*c + 2. Let f(d) = -d**3 - 6*d**2 - 7*d - 6. Let v be f(-5). Let s be r(v). Is i <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 54*a + 51*a - 3 + (-6*a + 8*a + 6*a)*(-6 + 0 + 7 + (2 - 2 + 2)*(-1 + 0 + 2)) to the form r + u*a and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 330*r - 968*r + 2 + 323*r - 2 + 319*r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 13*v. Let l(g) = -286*g**2 - 16*g + 5. Give n(l(k)).\nAnswer: -3718*k**2 - 208*k + 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4275*a**2 + 20*a**3 + 3031*a**5 - 234*a**3 - 3032*a**5 wrt a.\nAnswer: -60*a**2 - 1284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 + 10 - 21 + u + 5 + u**2 + 5. Let n(r) = 2*r**2 - r + 3. Give n(k) + 3*p(k).\nAnswer: -k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 39*i**2 - 2*i + 3. Let r(d) = 39*d**2 - d + 2. Calculate 3*q(o) - 4*r(o).\nAnswer: -39*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 85. Let j = c - -100. Suppose -q + j = 2*f, -3*q - 5 = 1. Is f a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2 = -2. Suppose -2*q - 8 = -0*q + v*z, 0 = q + 3*z + 8. Suppose -a + 70180 = 2*a + q*w, 0 = 2*a - w - 46805. Round a to the nearest one thousand.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -6*w**2 - 5*w. Let b(c) be the third derivative of c**8\/10080 + 31*c**5\/30 + 58*c**2. Let u(i) be the third derivative of b(i). Give l(u(h)).\nAnswer: -24*h**4 - 10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d*l*r*x + 51*d*r*x - 15*d*x + 66323*l*r*x + 2*l*x + 2*l - 167*r wrt l.\nAnswer: -d*r*x + 66323*r*x + 2*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 253*s**2 - 8*s - 31. Is b(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*w = 5*g + 59*w - 69947, -5*w = -5*g + 69965. What is the thousands digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 - -113. List the prime factors of g.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**5\/5 - 30*p**4 - 4336*p**3 - 39048*p**2 + 478368*p\/5 = 0. What is p?\nAnswer: -66, -12, 0, 2, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-25)*z\/z**(-10) assuming z is positive.\nAnswer: z**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -25*y + 4 - y - 3. Is p(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -y**5\/5 - 46*y**4\/3 - 418*y**3\/3 - 328*y**2 + 131*y. Factor g(w).\nAnswer: -4*(w + 1)*(w + 4)*(w + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15092279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i**2 + i - 5. Let r(a) = -16*a**2 - 6*a + 25. Let x(o) = 11*q(o) + 2*r(o). Calculate the remainder when 26 is divided by x(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - w - 9 = -4*w, 0 = -5*v - 5*w + 25. Let t(h) = -h**2 - h. Let r(a) = a**3 - 11*a**2 - 3*a - 8. Let g(z) = -r(z) + 5*t(z). Give g(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -569 and 488552369384?\nAnswer: 488552369953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/2628 and -51\/85870.\nAnswer: 112833180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -830163a - 3?\nAnswer: -8301641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4850\/(-45) - (-10)\/(-45). Let p = k - -113. Suppose 8*q - 6539 = -p*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*((-36)\/(-40))\/(-9))\/1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1640 rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2314328 (base 9) to base 3.\nAnswer: -2100111100222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 826 in increasing order.\nAnswer: 1, 5, 826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h - 38. Let x(q) = q**2 + 4*q - 5. Let r be x(-5). Calculate the common denominator of p(r) and (-52)\/(-14)*1*2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -10*m**2 - 7*m. Suppose -9*k = -15 - 3. Let j(c) = 30*c - 12*c - 15*c + 5*c**k. What is -7*j(i) - 3*y(i)?\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2288 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.138 (b) -1 (c) -2\/47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + -1 + 155 + -143.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 12*y**2 - 12*y + 5. Let s be p(13). Let a(d) = 10*d + 44. Let z be a(7). Calculate the highest common factor of s and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(t\/(t*t\/(t*t\/t**(2\/9))))*t*t))\/t)**(12\/11)\/((t**7*t)\/t**(-1\/7)))\/((t**1)**39*(t*t**(2\/7))\/(t\/(t**(-4)\/t))) assuming t is positive.\nAnswer: t**(-10361\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 429\/77) + 4. Is 175 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25172 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 - 2)*(1 - 150*k + 271*k + 109*k) to j + t*k and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gisiigpgsggpgliggdli. Give prob of picking 1 s and 1 l.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 182241360 divided by -7\nAnswer: -26034480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -26*b**7\/105 - b**5\/15 + 3*b**4\/8 - 7*b**2 - 1. Find the third derivative of v(d) wrt d.\nAnswer: -1248*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11498 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*l - 157469, -308378 - 478995 = -5*p - 3*l. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -30*s + 54*s - 25*s. Let k(d) = -17*d**2. Determine n(k(a)).\nAnswer: 17*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 7:53 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -107572629.\nAnswer: -4\/107572629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 9 - ((-57 - (2 + -26)) + 23).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -143 - -145. Put -1, t, 0, 4 in descending order.\nAnswer: 4, t, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 6*h = y - 2, 5*h - 2*y + 5 = 0. Which is greater: h or 164?\nAnswer: 164","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 21*b - 112. Let s be (10\/4 - 21\/b)*0. Solve 2*d - m + 2 - 5 = s, 0 = -4*m - 20 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1577563 is divided by 10517.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25017481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, b: 2, t: 9, v: 4, x: 1, p: 2}. What is prob of picking 2 v?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 9:16 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138331?\nAnswer: 43, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1960\/167 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (3 - 8) - (-3 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9216 = -2681*x + 2684*x + 2*p, 9 = -p. What is the highest common factor of 378 and x?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -0.4. Let y = 271 - 269. Let g = 6.5 + -7.5. Which is the closest to g? (a) k (b) 0.2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 15 - 0, -i + 13 = 2*c. Solve -c*w = 4 + 16, 5*f - 2*w + 5 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 12*z + 2. Let j = 57 - 27. Let k = j + -18. Let m be u(k). Solve -m*w - 3*w = 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(8 + 34 + 43)*(5 + 2*v**2 - 5).\nAnswer: -170*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2061?\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2120*v**3 - 4*v**2 + 25*v - 48. What is the hundreds digit of n(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*z**2 + 8*z**2 + 2*z**2 - 7*z**2 + 11 with respect to z.\nAnswer: 16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 75\/45*(-4)\/10. Let n = -0.2 - -0.3. Is x > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*m**3 - 198*m**3 + 404*m**3.\nAnswer: 11*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -0.22, -2\/47, -0.5, 7?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122903 is divided by 63?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x + 21. Let n be l(3). Suppose 6*b + n = 9*b. What is the third derivative of 2*j**2 - 43*j**6 + 75*j**6 - 37*j**b wrt j?\nAnswer: 3840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -2*w + 16, 23 - 3 = 4*k + 4*w. Suppose k - 17 = -5*t. Differentiate 3*h + 6 + 4 + t - 7 wrt h.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6220610 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 10 - 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51\/(-34))\/((-60)\/(-90))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1452192*-4\nAnswer: -5808768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hm when two letters picked without replacement from {v: 1, m: 1, d: 2, k: 1, f: 1, h: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-8)*(-1170)\/27*(-8)\/20.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22111002 + 200221102?\nAnswer: 1000102111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 110431 to the power of 1\/2, to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than -551?\nAnswer: -551.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u**2 - 5*u + 5. Let z(w) = w**2 - 4*w. Let n be z(3). Let t(x) = -x**2 - x + 1. Calculate n*l(d) + 15*t(d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t**3 + 2*t + 1. Let v be m(-1). Let u be (5\/2)\/((-3)\/(-12)). Let j = u + -6. What is the greatest common divisor of v and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-9 + 39 - 2) - 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -74, 3, 208, 583, 1170?\nAnswer: 2011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qo when two letters picked without replacement from {q: 2, o: 6, n: 1, z: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(3 - (-8)\/(-3)))\/(33\/2)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 345\/276 - 2\/(8\/(-11)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -204*i + 20. Let x be z(-4). Suppose x + 2706 = 7*a. List the prime factors of a.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**4*i\/(((i*i\/i**3)\/i)\/i))\/((((i*i**7)\/i)\/i)\/(i*i\/(((i**(-1\/3)*i*i)\/i)\/i))) assuming i is positive.\nAnswer: i**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -4. Let w be (1010\/(-40))\/(10\/(-40)). Suppose b*g - 472 - w = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 16 - 20 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.68, 0.03, 3, 1\/45, -51, 0.3 in descending order.\nAnswer: 3, 0.68, 0.3, 0.03, 1\/45, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 287856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence juc when three letters picked without replacement from ucjjjuuuuujjuujuucuj?\nAnswer: 77\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -2\/11 (b) 17\/2 (c) -4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*t = 12. Suppose 2 = -t*b - 2. What is the third biggest value in -4, -0.3, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s - 71. Let x(o) = 3*o**2 + 2*o + 2. Let m(p) = -3*p**2 - 3*p - 3. Let l(u) = 2*m(u) + 3*x(u). What is l(y(k))?\nAnswer: 12*k**2 - 852*k + 15123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -3.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 17620\/6*(-2937)\/(-4895). Which is bigger: 1763 or m?\nAnswer: 1763","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.5 and 10350329.\nAnswer: 10350327.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6178a8 (base 13) in base 11?\nAnswer: -1312975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*b = -1, 0 = 3*r - 4*b - 5 - 0. Suppose 5*o - w = 6 + 5, 2*o - r*w + 6 = 0. Suppose n = 4*n - 9. What is the greatest common divisor of n and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**5\/4 + 5777*l**4\/2 + 2887*l**3 - 28881*l**2\/2 + 34659*l\/4 = 0 for l.\nAnswer: -11553, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5 + 1 - 5 - d + 9 - 3. Calculate l(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2519*u**4 + 3*u**2 + 40*u wrt u.\nAnswer: -60456*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**2 - 155580*z + 2017094700 = 0. What is z?\nAnswer: 25930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/3 and 145 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) - sqrt(405)*-2)*-5)**2 + -3.\nAnswer: 91122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eejjjejjeeejejjjejee. Give prob of sequence ejej.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66268738 is divided by 1893392.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 10:59 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -700*k**2 - 170555 + 170555.\nAnswer: -700*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-5)*1)\/((-3)\/40). Let k = s - -77. Is 22 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 10:49 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*i - 4. Let g be 53*i*2\/4. Let x = g + 60. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.06 (b) -414\/5 (c) 3\/1040 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by -749\nAnswer: -31\/749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 2*q - 2. Let n be g(3). Let k(t) = -t**3 + t**2 - 2*t + 1. Let l be k(n). Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2780 + 5559\/2. Which is the second smallest value? (a) r (b) -3 (c) -3\/8 (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15697 and 60709?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 5 + 1)*(-4 + 2*a + 4) - a + 2*a + 0*a)*(3*a - 2*a - 4*a).\nAnswer: 33*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1799*j**6*v + 155*j**5*v - 5*j**2*v - j**2 - 123*j - 46*v - 2 wrt j.\nAnswer: -215880*j**3*v + 9300*j**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -16. Calculate the remainder when 5 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -4 (c) 0.1 (d) 128\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 333070*u**3 - 14806*u**2 + 14806*u**2 - 333088*u**3.\nAnswer: -18*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from hwjwjwbhjjwhjwwhj?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 1964014?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n. Let h(u) be the third derivative of 35*u**4\/4 - u**3\/3 + 86*u**2. Calculate s(h(z)).\nAnswer: -210*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 11*r**2 + 76*r - 854. Give g(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -58 (b) -251 (c) -2\/13 (d) -1\/7 (e) 0.4 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 8:52 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 31548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 8*k - 6368 = 0. Suppose 0 = 11*n - 1180 - k. Calculate the highest common divisor of 36 and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4\/233 + 5801\/1398. Let d = -193\/42 + w. Which is the third biggest value? (a) d (b) 0 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 q when two letters picked without replacement from qrpqqrfptqur.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 + 40*w - 78. Let d(p) = p**2 - p. Let r(c) = -3*d(c) - l(c). Find the first derivative of r(u) wrt u.\nAnswer: -2*u - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 - -8) + (2 + 0 - 0). Solve -3 = -v*r - 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*b = -7*b + 92 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 672 and 49.\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 36*-1*(14\/(-2) - -8). Let p be 1\/(-3)*r\/6. What is the tens digit of (p*(-4)\/5)\/(5\/(-450))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -9*y - 1\/3*y**3 + 0*y**2 + 0. List the prime factors of p(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**5\/60 - p**4\/8 + p**3\/3 + 5*p**2. Let u be f(2). Suppose 0 = -u*k - 2*k + 162. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 14. Suppose -4*x + 5*b = -144, -g*x + 4*b + 102 = -42. Calculate the highest common factor of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 n when four letters picked without replacement from ndninzzznaaniannnnn?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*i = 30. Let z(k) = 2*k**2 - 13*k + 8. Let g be z(i). What is the third derivative of 342*x**g - x**4 + x**4 - 337*x**2 - 6*x**6 wrt x?\nAnswer: -720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30698369\/180 - 170546. Find the common denominator of 13\/72 and a.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 326 - 296. What is the highest common factor of m and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3269146?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u\/(u\/(u\/u**(-3))))\/u*u)**(-9))**(-35))**(-8) assuming u is positive.\nAnswer: u**(-12600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 38666 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(33\/4)\/(m**(37\/4)\/m) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 458 - 466. Let l(k) = -k**2 - 3*k + 8. Determine l(d).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3154437 is divided by 2600?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-3)*-3 + (-50)\/(-15). Which is smaller: q or -21\/8?\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a centimeter in millimeters?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.594 - 10.094. Which is the fifth smallest value? (a) 0.9 (b) h (c) 2 (d) -3\/7 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 190 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -20*w**2 + 1. Let i(n) = -41*n**2 + 2. Let a(m) = -4*i(m) + 9*r(m). Let d(s) be the first derivative of a(s). What is the tens digit of d(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1544934, 1544935, 1544938, 1544943, 1544950, 1544959?\nAnswer: 1544970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4200)*2*-1)\/(-2*sqrt(216) + sqrt(6)*1*-3).\nAnswer: 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -130748*i**3 + 2869*i**2 - 12*i wrt i?\nAnswer: -784488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 3*h + 1 = -5, -3*f = h + 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 9*r - 9. Let c = 19 + -26. Give n(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 2995*970\/50 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + 3*sqrt(156))*5)\/((sqrt(12) + sqrt(588))*4).\nAnswer: 5*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288*q**3 - 280*q**4 + 247*q + 37*q + 280*q**2 + 22714*q**5 - 22710*q**5 = 0. Calculate q.\nAnswer: -1, 0, 1, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.2, 210, -2\/5, 5, -387?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2286 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312459 - 503191 = 25*i. What is the hundreds digit of i\/(-132) - (-2)\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*g**2 - 32*g**2 + 13*g + 2*g**2 + 10*g - 5*g**3.\nAnswer: -5*g**3 + 23*g","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3003 and 924.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2331\/3108)\/(9\/96).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 25 = 2*a. Calculate the remainder when a is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(34\/((-340)\/20))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 26*l = 27*l - 56*l + 179, 5*f - 527 = -9*l for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2, 6, -0.32, -46998, -0.1?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 165346 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 + 2*m + 1. Let r be c(1). Solve 0 = b + 4*b - r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -72, -98, -124?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5529 and 114.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.41 - 3.5. Let v = 1437157.5 + -1437157.590000888. Let f = v - t. Round f to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -127 - 153. Suppose -3*q + 2*q + 68 = 3*j, 4*q = j - z. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = t + 2*q, -t - 6777 = -5*q - 6900 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*(((u**(27\/4)*u)\/u)\/u)\/u*u**(3\/4) assuming u is positive.\nAnswer: u**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c. Let u be v(-2). Let m = 6 - u. Let o be 3 - (m\/1 + 1). Is o greater than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 63 = -4*f. Let p be ((-46)\/(-8) - 6) + (-35)\/4. Is p less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3336637 times -18\nAnswer: -60059466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f**4 + 7*f**3 + 2963*f + 740607?\nAnswer: 8*f**3 + 21*f**2 + 2963","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*r + 162 + 48. Let z be r*1\/(-2)*(-80)\/48. Put z, 35, 1 in descending order.\nAnswer: 35, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 0. Let p = 14.876 - 12.576. Which is the third biggest value? (a) p (b) k (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41952*s + 20951*s + 166*s**2 + 21001*s.\nAnswer: 166*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = x - 21, 613*x = 611*x + 3*u + 31 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18675 + 18687. What is the remainder when (-268)\/(-6) - (-1)\/3 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 0 - 4) + (-35)\/(-1). Suppose -j*h = -37*h + 395. What is the remainder when h is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 907*y - 893*y - 238 = 0 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 11:39 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9 - -0.1. Let m be (-4)\/14 - 310\/(-7). Let t = m - 134\/3. What is the nearest to t in d, -5, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x**2 - 32*x - 699. Let p be o(-24). Is p at most as big as 2950?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13338 to the power of 1\/2, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*m + 45 = 2*v, -2*v = -5*m + 11. Let x = 6 - v. Sort -2, x, 2.\nAnswer: -2, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 13999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 10:05 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8838*p**4 + 123*p**3 + 4*p**2 - 129631*p wrt p.\nAnswer: -212112*p + 738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1406 + 10*g + 2*g - 840 - 763.\nAnswer: 12*g - 197","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -21864+0.12\nAnswer: -21863.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 9*d**2 - 11*d - 8. Suppose -128 = -3*q + 61. Let k(m) = -m**2 - 379*m - 2968. Let w be k(-8). Let h be q\/(-7) + -1 + w. Calculate j(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(11) - (sqrt(539) + -1)**2) + (sqrt(11) - (sqrt(11) + 1)*2))*1.\nAnswer: -1084 + 28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t + 11. Let b(y) = -8*y - 4663. Determine c(b(d)).\nAnswer: -32*d - 18641","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-9) + 34\/(-51).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 0 (b) 7 (c) -10 (d) 9 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23 - 6*j**2 + 23)*(-6336 - 7087 + 12284) to the form o + i*j + m*j**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 63*j**2*x**2 - 34*j**2 - 2*j*x + 155*j - 2*x**2 wrt j.\nAnswer: 126*x**2 - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/30)\/(44\/(-6) - -8).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2561?\nAnswer: 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 168\/(-364)*-9*(-10)\/270\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v. Let d(g) = 4*g**2 - 4*g. Suppose 0 = 16*u - 48 - 32. Suppose -5*w - 2*o = -13, -o + u = -14*w + 15*w. What is w*d(r) - 4*p(r)?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 - 270120*o - 4560300900.\nAnswer: -4*(o + 33765)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4156794 and 279.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 7:37 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 - 5*z - 8. Let p(l) = l**3 - 13*l**2 + 24*l - 20. Let r be p(11). What is the remainder when (r - 38)*165\/(-44) is divided by c(6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2133033 (base 4) in base 12?\nAnswer: -5a93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 7:06 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -5 (c) 0.4 (d) 1842643\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.62 + -98.62. Let y = t - -93.5. Let l = -0.06 - 1.94. Which is the fourth smallest value? (a) -0.3 (b) l (c) 0.3 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*(sqrt(108) + -1*-6*sqrt(108)) + 4 + (sqrt(108)*-5 + -3)*3.\nAnswer: -9 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/6)\/(30\/40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) -0.056 (c) -1\/11 (d) -2.37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**11\/s**(2\/15))**(1\/15) assuming s is positive.\nAnswer: s**(163\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9\/10 of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3992228568 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4509, 9608, 15299, 21582, 28457, 35924?\n\"Answer: 296*s**2 + 4211*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-56)\/(-30) - (-30)\/225. Put -1, x, 4 in descending order.\nAnswer: 4, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 8:30 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - 0) + -7 + (-16 - -22)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 426217.9 centimeters?\nAnswer: 4262179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 62 = 5*k, -75*k = -69*k - 2*z - 31 - 7 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -u**6\/120 - u**5\/12 + u**4\/8 - 13*u**3\/6 + 43*u**2 + 1. Let t be b(-6). Solve d - 7 = -4*i, t*i - 2 - 3 = -2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 254405 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 97*r**4\/4 - 256*r**3\/3 - 395. What is the third derivative of l(z) wrt z?\nAnswer: 582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of d**5\/60 - d**4\/24 - 5*d**3\/6 - 4*d**2. Let i be y(-4). Let q = 28 - i. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 9*k + 13. Let v be o(-9). Suppose -9*p - 92 = -v*p. List the prime factors of p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13821149.\nAnswer: 47, 294067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 570054.7 litres?\nAnswer: 570054700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3))**4)**(-40) assuming g is positive.\nAnswer: g**480","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**7\/560 - t**6\/15 + 16*t**5\/15 + 13*t**4\/6 - 46*t**2. Let m(i) be the second derivative of w(i). Let m(k) = 0. What is k?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 - (52 + -19)) + 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 5*t**2 + 7*t + 4. Let g be 14\/7 - (-4)\/(-3 + 2). Let m be i(g). What is the highest common factor of m and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 27 + 3 + (-1 - (27 + -2 + -4))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0161? (a) 0 (b) -1 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -19, -0.1, -351\/4?\nAnswer: -351\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25474\/5 - -28621\/5. Let b = 629 - o. Which is smaller: -2\/23 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h**2 + 9*h - 17. Let o be w(8). Let k = -82 + -50. Let j = k - o. Is j a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 911 and -78.\nAnswer: -71058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 7*a**2 + 9. Let j be n(-7). Suppose -p - 5*i - 9 = 0, 2*p + 3*i + j = 5*p. Solve 2*w + 3 + p = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -14, 4, 5, -3, -223, 3.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -4) + -8 + (0 - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -83, -76?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 181\/6 - 30. What is the closest to 4 in 2\/15, 5\/3, j?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 182 - 54. Let g = 18322 + -18320. Is (0 + 58)\/(z\/(-68) + g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2)**(-30)*((n\/(n\/(n*n**7*n*n)))\/n)\/n**(-1\/8) assuming n is positive.\nAnswer: n**(-407\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -1)*(-4)\/52\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - m**2 - 13*m - 276. Give a(7).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35395482?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 199890614309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/10*655\/102966*4\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.04 - -0.04. What is the second smallest value in 4, -2\/9, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 255*c + 8. Let v(f) = 383*f + 13. Give -8*h(p) + 5*v(p).\nAnswer: -125*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 41597 and 0.5.\nAnswer: 20798.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)*3*2 + 2*(sqrt(605) + 1))**2 + (1*(sqrt(605) + 0 + sqrt(605))**2 - (-1 + sqrt(605))*6)*4.\nAnswer: 88*sqrt(5) + 48428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -28 + 15 + (4 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209729840.\nAnswer: 2, 5, 227, 11549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b - 39. Let v be p(21). Let l(y) = 7*y + 7*y + v*y - 21*y. Let g(a) be the third derivative of -17*a**5\/60 + 3*a**2 + a. Give g(l(f)).\nAnswer: -272*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -5*y**3 - y - 1. Let f be x(-1). Let l = 5\/2 + -2. What is the closest to 0.2 in l, -2\/9, f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1493158?\nAnswer: 2, 61, 12239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 2, -3, -29.\nAnswer: -29, -3, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a milligram in micrograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1388 - 1383. Solve -u*v + v = -z + 6, 3*v - 2*z + 7 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -951.\nAnswer: 2\/951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.3, 0.44, -144 in descending order.\nAnswer: 0.44, -0.3, -1, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 47328465?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 23*r. Let x(a) = 988*a. Determine -171*s(l) + 4*x(l).\nAnswer: 19*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 127.5? (a) 2\/19 (b) 0.2 (c) 1.194 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*q**3 + 19657015*q**2 + 11232568*q + 1604652.\nAnswer: (q + 401163)*(7*q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*o**3 - 15*o**3 + 27*o**3.\nAnswer: -10*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 233138*w + 95*w**3 - 116564*w + 97*w**3 - 191*w**3 - 116574*w.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, h: 3, v: 5}. Give prob of picking 3 v and 1 t.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 13) to base 15.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k. Let z(o) = -4 - 5*o + 0 + 7. Let w(v) = -19*v + 1. Let i be w(10). Let n = i + 183. Determine n*m(s) + z(s).\nAnswer: s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.7 + -3.7. Let u = 99 - 99.41. Let i = u + 0.01. Which is the third biggest value? (a) -2\/17 (b) i (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20001 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239 = -2*i - f - 0*f, -4*i + 481 = 3*f. Let m be 27\/135 - i\/(-10). Solve 0 = -11*j + m*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -p - 3*j, 4*p + 3*j - 24 = 35. Calculate the remainder when (2 - (-32)\/p)*7 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + ((-2)\/6 - 0). Let s = -0.73193 - 0.46807. Is c less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/12, 0.2, 2?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 - 1740*w**2 - 188352*w + 190096.\nAnswer: -4*(w - 1)*(w + 218)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (64\/10)\/(1\/5). Let q be (54\/(-8))\/((-6)\/g). Let k be q\/24 - 2\/(-4). Put k, -3, -2 in decreasing order.\nAnswer: k, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1298 + 0?\nAnswer: 1298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -169070 + 169069.99999840542. What is a rounded to seven decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 4*k**2 - 1. Let r be a(-4). Let j(l) be the second derivative of -35*l**3 + l**2\/2 + 3*l. Is j(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 - (-13 + 15).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-49)\/28)\/(1\/(-4)) + -3. Suppose 3*p - 19 + j = 0. Suppose -3*u = 6*x - x - 473, -p*u = -2*x + 214. List the prime factors of x.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g - g**3 + 11*g + 11 - 12*g**2 + 4. Calculate the remainder when w(-13) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kxxnnnzncnknnznzcnnc. What is prob of picking 3 z?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 0*p**3 - 1\/6*p**4 + 2*p**2 + 0*p - 7 + 4\/15*p**5. Let v(u) be the second derivative of l(u). What is i in v(i) = 0?\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.08 - -3.42. Let g = o - 4. Put 3, g, -3 in descending order.\nAnswer: 3, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 - 4*n + (5*n - 2*n - 2*n)*(4 + 15 - 8) as k*n + p and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + -5 + 14 + -12 + 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 172 and 13932.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 5*d - 1, -7 = -4*a - 0*d + 3*d. Let u = 50 + a. Calculate the highest common divisor of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2183*a**2 - 2184*a - 7092742 wrt a.\nAnswer: -4366*a - 2184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 210 = 11*o - 10*o, 9*o - 41*o = p + 117 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5333 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 427*y + 17533. Let a be i(46). Let g = 7 - 5. Solve -g = q - a for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**2*t**2*z + 2*h**2*t**2 + 14*h**2*t*z + 14*h*t**2 - 2*h*t*z + h*z wrt t?\nAnswer: -4*h**2*z + 4*h**2 + 28*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -536*y**2 + 32697*y - 48. What is z(61)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62938865?\nAnswer: 5, 11, 1144343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 10:07 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2. Let u(p) = 25*p + 30. Let g(w) = w + 1. Let o(z) = 30*g(z) - u(z). Determine x(o(l)).\nAnswer: -25*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 2*b**2 - b. Let c be i(0). Solve -3\/4*k**2 + 3\/2*k**3 + c + 0*k - 3\/4*k**4 = 0 for k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 6*k**2 + 9*k + 9. Let t be q(-7). Let b = t + 11. Suppose -3*v = -b*v + 21. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 223 in ascending order.\nAnswer: 3, 5, 223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yh when two letters picked without replacement from lpyhh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 252449179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**3*p**2*s**2 - 168*c**3*p*s**3 - c**3*p*s + c**2*p**3*s**3 - p**3 - 3*p**2*s**2 wrt s?\nAnswer: -1008*c**3*p + 6*c**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3. Let v(p) = 15*p**3 - 2*p**2. Let h(n) = -105*n**3 + 15*n**2. Let q(y) = -2*h(y) - 15*v(y). Determine 33*o(w) - 2*q(w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 11:14 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/36098 and 9\/11.\nAnswer: 397078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 75 = 5. Calculate the remainder when 25 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/18*(-118)\/(-295)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 142544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 21*d**2 - 19*d + 66. Determine c(-22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-24)\/(-36) - 1400\/(-6) - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60522 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxkj when four letters picked without replacement from {e: 3, x: 10, k: 4, o: 1, j: 1}?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*(-3 + ((6*-2*sqrt(300) - (sqrt(300) + sqrt(300) + 5 + sqrt(300)*2)) + -5)**2) + -5.\nAnswer: 6400*sqrt(3) + 153793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 12:10 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1030*i - 56680 + 113549 - 56869.\nAnswer: -1030*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11021001 (base 3) to base 13\nAnswer: 154c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52491262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04818 and -0.05.\nAnswer: -0.002409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) + sqrt(2880)*2 - (sqrt(140)\/sqrt(7) + sqrt(20))*2)\/((sqrt(352)\/(sqrt(22)\/sqrt(2)))\/(-1*sqrt(8)*-1)))**2.\nAnswer: 2205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 i when two letters picked without replacement from {a: 2, i: 8}?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 5) to base 16\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -72 - -82. Let y be (-4)\/u + (1491\/5)\/(-7). Let f = y - -32. Sort f, -3, -4 in ascending order.\nAnswer: f, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 397396.\nAnswer: 4371356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1505 + 1505.4. What is the nearest to 2 in c, -15, -16?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -46775940 at least as big as -46775941?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 92 times 3\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 7*d + 1. Let g be m(-6). Let z = 10 + g. Solve z*f = 2 + 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 6:01 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1706*(-1)\/(-12)*6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3010488 (base 9) in base 15?\nAnswer: -2196c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22\/15 + -17\/15. Let j = 3 + 3. Suppose 4*b + j = 2*c, 2*c - b = -2 - 4. What is the third smallest value in d, -2, c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5457*i**2 + 33*i - 2. Let v be b(4). Let q(d) = -6*d + v - 87442. Let a(n) = -4*n**2. What is a(q(p))?\nAnswer: -144*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, f: 3, h: 1}. What is prob of sequence ihf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 2874?\nAnswer: 2874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 20. Which is greater: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(588) + (sqrt(588) - 1*sqrt(588)) + sqrt(588))\/sqrt(12))\/sqrt(7).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18331*l**5 + 30810*l wrt l.\nAnswer: -366620*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*f + 10, 2*c = -2*f + 12. Suppose -c*w + 516 = -84. Let h = w - -107. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*f**3*v**4 + 225*f**3*v**2 + 10*f**2*v**6 + 4*v**2 wrt v?\nAnswer: -216*f**3*v + 1200*f**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 - 6*q**2 + 2*q**2 + ((0 + q + 0)*(-2 - 1 + 1) - 3*q + 4*q + 0*q)*(2*q - 6*q + 2*q))*(69*q + 106*q**2 - 199*q - 107*q**2).\nAnswer: -q**4 - 130*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 29 = -3*l + 5*s, -5*l + 30 = -3*s. Suppose 2*u + 120015 = -2*r + 5*u, l*r + 180005 = u. What is r rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(-7 + 6)\/(3\/5). Suppose 120 = p + 4*m, 6*m - 570 = -f*p + m. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75685.16 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 6*d + 1. Let j be a(6). Let z be 2 + 1 + -1 + j. Suppose 0*y + 18 = y + 2*l, -55 = -5*y - z*l. What is the remainder when 14 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 - 35268*v - 20298248.\nAnswer: -4*(v + 619)*(v + 8198)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -119, -478, -1231, -2522, -4495?\nAnswer: -7294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-1053)*-9 - (-1)\/9*(-925)\/(-2275)?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 563 in -0.04, -7.74, -4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3 = -5*a - 17, 0 = 5*w - 10. Let d be (a\/10)\/(12 + -11). Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 2869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 18*h**2 - 4*h + 20. Let v be w(18). Let d = v + 48. Let z be (-8)\/d - 106\/(-2). Calculate the highest common divisor of z and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 1, -12, 0.4, -1, 0 in decreasing order.\nAnswer: 1, 0.4, 0, -1, -12, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 0.2. Let i = 0.1 - h. What is the third biggest value in i, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**4\/7 + 17*s**3\/7 + 253*s**2\/7 + 451*s\/7 + 216\/7 = 0.\nAnswer: -8, -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -110 + 130. Put 3, 0, l in descending order.\nAnswer: l, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/10 + 1)\/((-38)\/285)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u - 101. Let s be z(0). Let t = s - -154. What are the prime factors of t?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x*x\/(x**(-14\/11)*x)*x)\/x**(1\/22))\/(x*x**(-14)*x**(-32)) assuming x is positive.\nAnswer: x**(1105\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 10:52 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (115\/(-69))\/((14\/56)\/(6\/8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -9*f + 6*f**2 + 9 + 0 - 8*f**2. What is the remainder when g(-4) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2948351.\nAnswer: 7, 41, 10273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 46 = 20. Calculate the lowest common multiple of m and 228.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 + 42. Let b be s\/(-81) + (-524)\/9. Let y = 90 + b. Calculate the highest common divisor of y and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**3 - 609*n**2 + 31605*n - 488775 = 0.\nAnswer: 35, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -3 - -8) + -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3405942682 to the nearest 100000.\nAnswer: 3405900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 25 = -d, -2*d + 13 - 43 = 4*c. Let a = -8 - c. Solve 4*m = 3*m + a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, 1, -3, -0.01?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -24*(8\/(-18))\/(2\/3). What is the highest common factor of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 4 (b) -1\/12 (c) -7226\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 236 + 8.\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1188.285084+-52.358\nAnswer: -1240.643084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 10*n + 8. Let o be d(-10). Suppose -2*m - 2*w + 8 = w, 2*w - o = 0. Calculate the common denominator of -45*(m + 43\/24) and 27\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -268 less than -264?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 546 is divided by 128?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6*z**2 - 5 + z**3 - 3*z + 10 - 5. Is 14 a factor of l(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 1403 = -2563. Let b = 663 + j. Solve w + 0 = 4*g + 3, 3*w - b = 5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqqqqhuqhuqd. Give prob of sequence dq.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 16*k**3\/3 + 4652. Let z(m) = -100*m**2. Calculate g(z(j)).\nAnswer: 160000*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 2:11 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 0*v**2 + 1\/2*v**3 + 0 - v. Let x(u) be the second derivative of u**4\/12 - 5*u. Determine p(x(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 7*v + 3*v - 3*v. Let j be c(1). Let m(p) = p**2 + 4*p - 3. Let d be m(-5). Solve j = -d*z - 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.216 - 1.846. Let k = -0.33 - o. Let f = 1.3 - k. Which is the second smallest value? (a) f (b) 3\/5 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 734318*t + 734322*t = 9, 4*v + 4*t = 8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l. Let j(h) = -h**3 + 8*h**2 + 9*h + 3. Let u be j(9). Let z(c) = -c - 5*c + u*c + c. What is t(z(r))?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*t**6 - 142*t**4 + 88*t**3 - 27*t**2 - 47*t - 18796 wrt t.\nAnswer: 1440*t**3 - 3408*t + 528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2*(sqrt(180) - -1*sqrt(180)))\/((2*sqrt(81) + sqrt(81))\/sqrt(9)) + 4 + -3).\nAnswer: -1 + 8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -66\/39966473 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -484*r*t - 941*t wrt r?\nAnswer: -484*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -97*y + 42*y + 318 + 29*y + 24*y - 259*y**2 wrt y.\nAnswer: -518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 470\/47*(1\/(-2) + 0). Let r(s) = s**3 + 7*s**2 - 8*s + 1. What are the prime factors of r(d)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(2\/(7\/7)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -4*l + 5*u + 24, -3*l - 35 = -5*u for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)*2*-6)\/sqrt(2))\/(sqrt(4)\/(sqrt(2) - sqrt(20)\/((sqrt(10) - (-2*sqrt(10) + sqrt(10))) + sqrt(10)))).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 671*i - 10744. Let a be f(16). Let w(y) be the third derivative of y**4\/12 + 19*y**3\/6 - y**2. Give w(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3.6 (b) 6\/7 (c) -136\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 5:06 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(152)*-1*-2)\/(-4*sqrt(32)))**2.\nAnswer: -5*sqrt(19)\/2 + 419\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 2:23 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(343))*-1 + sqrt(343) + (sqrt(343)*3)**2*2)*-4.\nAnswer: -24692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1715?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*a - 24 + 2, 2*d + 2*a = 16. Suppose 15 = x - 4*u, -2*x + 0 + d = u. Suppose l + 0 - 4 = 0. Solve l*s = -r + x*r + 12, 0 = -s - r + 6 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3433 is divided by 287.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18155640 to the power of 1\/2, to the nearest integer?\nAnswer: 4261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c**4 - 4*c**4 - 2*c**4 + (1155*c**4 + 1540 - 1540)*(0 - 1 + 3)*(7 - 4 + 1).\nAnswer: 9239*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u = -17*u - 2*z - 58744996, -4*z = u - 58745008. What is u rounded to the nearest 1000000?\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 6:10 PM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23355 by -3.\nAnswer: -7785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-320)\/(-120))\/((-4)\/6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b - 5*b + 2*b + 3*b - 5.\nAnswer: -3*b - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/20)\/((-800)\/(-500))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 1. Let n(d) = -5*d + 6. Let f(v) = -6*i(v) + n(v). Let b(r) be the third derivative of -r**4\/12 + 2*r**2. What is b(f(o))?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1423601305?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6674188, 6674188, 6674184, 6674176, 6674164, 6674148?\n\"Answer: -2*p**2 + 6*p + 6674184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w - 5. Let d(o) = -5*o + 10. Let g(u) = 3*d(u) + 7*n(u). Let r = 7 - 11. Give g(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h - 1. Let l be f(3). Let w be -5*(-6)\/l*4. Let v = w - -13. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1585*a**2*y**6 - 2*a**2*y**2 - 2*a*y**6 + 1564*y wrt y.\nAnswer: -190200*a**2*y**3 - 240*a*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 189300 and 25240.\nAnswer: 378600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 429, 1720, 3879, 6906, 10801, 15564, 21195?\nAnswer: 27694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**3 - 151*f**2 + 362*f + 184. What are the prime factors of w(-79)?\nAnswer: 3, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bj when two letters picked without replacement from jjbj?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -31*j**6\/6 - j**2 - 4. Find the second derivative of p(k) wrt k.\nAnswer: -620*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3314 + 1?\nAnswer: -3313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from {t: 5, i: 4, a: 7, w: 3}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o**5*p - 1532*o**4*p + 54*o - 46*p wrt o?\nAnswer: -20*o**3*p - 18384*o**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -11. Let i = -2 - -1.8. Which is the third biggest value? (a) i (b) -3\/2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 2*p + 2 = 0, 2*p = -2 - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m + 6*m + 372. Suppose -2*f + 192 = -3*p, 3*f = p + 2*p + 189. Let a = m - p. What are the prime factors of a?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/((-48)\/(-18)))\/(13\/(520\/90)). Find c, given that 0 - 2\/9*c**2 - 2\/3*c**3 + t*c + 2\/9*c**4 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7812*k + 61226 = -7766*k. Calculate the remainder when k is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 204157*s**3 + 16273*s**2 - 2*s - 7 wrt s?\nAnswer: 1224942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4\/19 + -26\/57. Let i be ((-1)\/2)\/(15\/(-4)). Which is the nearest to p? (a) 3 (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*v - 3. Let b be (-1 - 11\/(-12))*(7 + -10). Let x = 3\/44 - b. Which is greater: x or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -1191*d**3\/2 - 2137*d**2\/2 + 108*d + 11. Differentiate v(t) with respect to t.\nAnswer: -3573","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 29*r**3 - 11*r**2 + 15. Let y(n) = 15*n**3 - 6*n**2 + 8. What is 6*f(a) - 11*y(a)?\nAnswer: 9*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one quarters of a micrometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8999 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -10*g - 2*g**2 + g**2 - g**2 + 5*g**2 - 11. Let w be 13 - (-16)\/8*-4. Calculate the remainder when s(w) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*1\/33)\/(978\/(-1956))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000196264299 rounded to 5 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1944 and 14580?\nAnswer: 29160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**9*g)\/(g*g**(-9)))\/((g*g\/(g*g**(-8)*g)*g)\/(g*g*g**(-6))) assuming g is positive.\nAnswer: g**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of n**4\/12 + 5*n**3\/6 - 3*n**2 + 2*n. Let w be h(-6). Suppose w = 5*v - 26 - 14. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q + 14*q + 549 = 0. List the prime factors of q.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(133) + sqrt(133) + (sqrt(133) - (sqrt(133) + sqrt(133)*1)) + sqrt(133))*5)\/(sqrt(189)\/sqrt(3)))**2.\nAnswer: 1900\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - i**2 - 2*i + 4. Let b be p(-3). Let h be 48\/b*10\/4. Determine u so that 32\/7*u**3 - h*u + 4\/7 + 48\/7*u**2 = 0.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5815, 1, -0.07 in decreasing order.\nAnswer: 5815, 1, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/9? (a) 5 (b) -7 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8475252 * 4.\nAnswer: -33901008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 2638937, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.31? (a) -3 (b) -5 (c) 140\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -6*d**3 + 2*d**2 - 6*d - 5. Let n(y) = 5*y**3 - 2*y**2 + 5*y + 4. Let s(g) = -5*n(g) - 4*p(g). Let k = -5 + 3. Let v = -1 - k. What is s(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -899*m + 941*m - 3738. Let h be -90 - 2 - (3 + -2). Let n = m + h. Sort 1, 2, n, -5 in increasing order.\nAnswer: -5, n, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -15706\nAnswer: -1\/7853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 629057, 629075, 629107, 629159, 629237, 629347, 629495?\n\"Answer: z**3 + z**2 + 8*z + 629047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 11 = 27. Suppose a*k + 44 = -8. Let m(o) = -o + 17. What are the prime factors of m(k)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 15 - 1 = 0. Suppose -4*l + 4 = -d. Suppose 0 = l*n - 4*h - 245, 0 = n - 4*h - 83 - 4. What are the prime factors of n?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-18)\/8)\/(-3))\/((-35)\/(-140)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k + k - 2*k)*(2 - 5 + 0)*(478 - 478 - 87*k)*(-5 + 5 - 8*k) to the form p*k**3 + b + z*k + o*k**2 and give p.\nAnswer: 2088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/3*(-24)\/((-20)\/5). Differentiate 9 + 3*v**4 - c*v**4 + v**4 with respect to v.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257862 less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/5 - 3\/5. What is the second derivative of 6*k**2 - 5*k - b*k**2 - 2*k**2 wrt k?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -g, -4*o + 31 = 5*g - 28. List the prime factors of o\/(-72) - (-200)\/9.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1511.069179 rounded to one dp?\nAnswer: -1511.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/21 or -7203?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 20 = -l. Let o be (-10)\/l*24\/4. Let g = o - 5. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17644 and 1276.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25498 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4338776611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -16. Suppose -z = -o*z. Which is bigger: z or 1\/26?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 230\/9 - 559\/18. Do m and -7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 not equal to 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17296 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 218\nAnswer: 12\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2332.5 - -2333. What is the second smallest value in 2482, r, -2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 7. What is the remainder when 165 is divided by a(7)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 178 + -97. Let w be (2*-1)\/((-6)\/p). Let b = 10 - 8. Solve b*k = 4*g - k + 1, -w = 3*g + 3*k for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**3 + 24*s**2 - 17*s. Is x(-12) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1955*s**3 + 1951*s**3 + 1956*s**3 - 5874*s**3.\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 0*t + 0*t)*(2 - 1 + 1 + (3 - 3 - 4)*(0 - 1 + 5)).\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6248053 by 24.\nAnswer: -6248053\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/2 and 12\/61.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 36257 plus 0.4?\nAnswer: 36257.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-2\/9)*d))**(-3\/25) assuming d is positive.\nAnswer: d**(-2\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 132.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*j - 429*j = -16368. Is j > -110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w + 3*w - 4*w - w. Let a(t) = 25*t**2 + 5*t. What is v(a(u))?\nAnswer: 25*u**2 + 5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -23. Suppose -5*c = d*i - 47, -26 = c - 4*c - 4*i. Suppose 0 = -5*a + c. Solve -4*p + 14 = -g, a = -p - g + 4*g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -2\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 710701 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 857230 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101624?\nAnswer: 2, 12703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1515 and 151797849?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13902 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 92320?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*i - 0*i - 5*u, -i - 1 = 3*u. Solve -i*g + 6 = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {t: 1, b: 3, g: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -110222312 (base 4) to base 11\nAnswer: -58676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -30 and 35\/1744.\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 589682 is divided by 3252.\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 127*s + 1441. What is z(11)?\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 40\/93 (b) 0.1 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1)*4\/((-28)\/(-49))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 7*f - 3*f**4 + 2 - 2 - 2. Let z(c) = -4*c**4 + 8*c - 3. Let l(m) = -3*p(m) + 2*z(m). What is the second derivative of l(d) wrt d?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 - -36. Let m = -320 + 484. Let h = m - 131. What is the remainder when h is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 10. Let y be r(-6). Solve 2*u + y = -2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 95904.8m?\nAnswer: 95904800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -300 + 302. Suppose -d*n + n - t = 85, 0 = -n + 2*t - 97. Which is smaller: -90 or n?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 95?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a**2 + 30*a - 122. What is the least common multiple of m(-9) and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409446083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**3 + y**3 + 7*y**3 - 4*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 3*w - 10, 47*n - 48*n = 4*w - 11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 30\/103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qd when two letters picked without replacement from dqd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 + -120112100?\nAnswer: -120112210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -43299.099 minus 5?\nAnswer: -43304.099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**3 + u**2 + 14*u + 68. What is the ten thousands digit of q(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 9*u**2 - 3*u + 33. Let z(d) = -d**3 + 4*d**2 + 9. Let w be z(4). Let h be a(w). Solve -5*s + 16 = h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 5*r = 19, 4*y + 142*r - 140*r - 22 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.7 - 11. Let n = 0.2 + w. Let p = 53 + -52.7. What is the nearest to n in 1, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 78830010?\nAnswer: 78830010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 59466 divided by 2\nAnswer: 29733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 75184274 to the power of 1\/4, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 18*y + 3. Let r be m(2). Let x(l) = -r - 613*l - 36 + 83. Is x(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5144 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (686\/(-147) + 8\/2)*(-51)\/2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 11654*u**2\/3 + 21116*u\/3 - 4384\/3 = 0.\nAnswer: -2, 1096\/5827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, m: 6, y: 1, n: 1, a: 6}. Give prob of picking 1 m and 2 a.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 12:58 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 84 + 0*c**2 + 2*c - 2\/3*c**3. Determine m so that o(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-4)*(-16)\/(-32)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f - 3. Let d be n(3). Suppose z = 6*z - 2*x - 27, d*x = -z + 2. Solve z*y + 4 = k - 2*k, -2*y = 3*k + 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1075 and 3925.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2206, 8781, 19714, 34999, 54630, 78601?\nAnswer: 106906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 6:47 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 2.2. What is the third smallest value in -4\/7, 2\/3, -3, n?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 81 + -81. Suppose v = g + 2*g + 15. What is the units digit of 1042\/14 + g + (-39)\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*y - 133 + 31 = 0, -2*y = -4*o + 82. Let b = o + -31. Let j(n) = -n - 7. List the prime factors of j(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (1 - -3) - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -78*f**3 - 8*f**2 + 6?\nAnswer: -468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 158\/6)\/(112\/(-168)). Let g(w) = w**3 - 37*w**2 - 26*w - 78. Does 18 divide g(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/3114 and -51\/1384.\nAnswer: 12456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11317, -22605, -33889, -45169, -56445?\nAnswer: -67717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**2 - 7*v. Let w(n) = 4*n**2 + 13*n. Let b(y) = 11*l(y) + 6*w(y). Give b(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -66*k - 256. Determine j(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-1) + (-2)\/(-2). Suppose -3*f + 17 = 44, -11 = -2*w + f. Sort g, w, -5 in decreasing order.\nAnswer: g, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3*15)\/((-1)\/(-18)). Let g = 526 - k. Does 12 divide (-2)\/(-6) - g\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -41 or -42?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 20 = 0, 9 = -3*t + 4*w - 11. Suppose -2*l - 2*l = t. Let z be (-162)\/12 + 12 + 2. Sort z, l, -1\/2.\nAnswer: -1\/2, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 4*d = -9*g + 49, 538*g = 546*g + 5*d - 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bgdg when four letters picked without replacement from {g: 6, b: 2, d: 2, t: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1\/6)*l**(3\/4)*(l**(2\/5)\/l)**(-2))**(1\/34) assuming l is positive.\nAnswer: l**(167\/2040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 135 - 135.5. What is the closest to -3 in 0, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 8*p - 3. Let v be (1\/2)\/(1\/(-4)). Let r be -4 + 2 - (-6 - v). Let f be o(r). Solve -3*q + f - 1 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1532412139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 0.0530031?\nAnswer: 0.1060062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*p - 8*p = -41*p + 4437 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 10*t**3 - 8*t**2 + t - 3. Let c(f) = 2*f**3 - f**2. Determine 3*c(o) - r(o).\nAnswer: -4*o**3 + 5*o**2 - o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/3 - 4*u\/3.\nAnswer: -2*u*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1024 is divided by 1015.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/(245\/(-77)))\/(50\/(-250)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*n + 146 = -n, 5*q - 2*n - 620 = 0. Suppose 4*b - 119 = -5*m, -12*m + 83 = 3*b - 7*m. What is the greatest common divisor of q and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssss. What is prob of picking 4 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25010025 + 5125?\nAnswer: 25015154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/11 or 2?\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6403 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*u - 762 = -6*q, 4*u - 769 = -3*q. List the prime factors of q.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 36. Let k = 18.3 - a. Sort k, 0.2, 14 in descending order.\nAnswer: 14, k, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*k = 117*k. Suppose 2*n - 5*n - 12 = k, -2*n + 51992 = -h. Round h to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1515*m**3*t - 64*m**3 - 14*m**2 with respect to t.\nAnswer: 1515*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -18*a**2 + 15*a. Let p(d) = d**2 - d. Let o(t) = 15*p(t) + x(t). Let b(s) = 3*s. Determine b(o(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 3*a - 5*y, 176*a - 6 = 178*a + y for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -6 - (-1 + -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -7*b + 5\/66*b**4 + 0 - 1\/33*b**3 - 2\/55*b**5 + 0*b**2. Factor p(i).\nAnswer: -2*i*(i - 1)*(4*i - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1545.\nAnswer: 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2459875451?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 + 1110*h + 40. Let l(n) = 5. Let u(k) = 8*l(k) - w(k). Factor u(x).\nAnswer: -2*x*(x + 555)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*j - 4*z + 5, -j = 5*z - 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8317276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -3. Suppose p = -o*p + 4. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + v = -67, -136 = 4*x + 10058*v - 10054*v for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*d - 2*w, -d + 106 = -2*w + 88. Suppose -3*s - 10 - 41 = 0. What is the third smallest value in -1, d, -2, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 2*g + 10. Let h(a) = -a**2 + 3*a - 22. Give -2*h(c) - 5*w(c).\nAnswer: -3*c**2 + 4*c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -77 + 126. Suppose 145 = 3*y + 2*u, 2*u - r + 149 = 2*y. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**3 - 578 + 554 + 2*v**3 in the form u*v + n*v**2 + k + q*v**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 16, 0, 5 in descending order.\nAnswer: 16, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**3\/7 + 22*y**2 = 0.\nAnswer: 0, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 58634711207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + sqrt(119) + ((sqrt(119)*3 + sqrt(119))*5 - sqrt(119)) + sqrt(119) - sqrt(119))\/(sqrt(84)\/(-6*sqrt(12))) + -4.\nAnswer: -126*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/15580631 or -1?\nAnswer: -6\/15580631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -16*o**2 - 80*o + 65. Give n(-6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 10*x**2 + 8*x - 22. What is f(-11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1387 + -878. Suppose n = z - 477. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25684 less than 97463.8581?\nAnswer: 71779.8581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 746*b**3*y**2 + 8*b**3 - 7*b**2*y wrt y.\nAnswer: 1492*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 701*g + 2*m = 703*g + 22, -4*g - 29 = -3*m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 157005 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -1)*0\/2. Solve -5*n + 0*n - 3*y + 6 = s, -3*y = 4*n - 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i = 36. Let o = 8 + i. Calculate the common denominator of 10\/4*74\/o and 41\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 4 - 19*n**2 - 11 + 0.\nAnswer: -19*n**2 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s - 23. Let g(v) = -13*v**2 - 13. Calculate u(g(a)).\nAnswer: 52*a**2 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9089 - 4460. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 h when four letters picked without replacement from qhhhnqqhhqwqhnn?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 415\/1064 - 2\/133. Let d = -7 - -4. Put -0.2, d, k in decreasing order.\nAnswer: k, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.91 - 11.41. Let p = -7 + 3. What is the nearest to -2 in -3, s, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 18 = -4*g - 0*g, 4*a + 16 = 5*g. Let l(h) = -h + 6. Let k be l(g). Solve z + 4 = k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -648 divided by 72.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15 and -727.4.\nAnswer: 10911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 6 = -5*r, 5*r - 11*w + 7*w - 4 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**13\/k)*k**(-16))\/(k**(2\/7)\/k*k**(-33)) assuming k is positive.\nAnswer: k**(40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6034073?\nAnswer: 23, 262351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-7)\/1 + 11\/4928*3254 and 73\/196?\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 17. Let m(c) = -c**2 - 8*c - 2. Calculate m(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = z - 4, 0 = 2*m + 2*z - z - 4. Suppose m = g - 4*o + 25, -2*g = -o - 3*o + 42. Which is smaller: g or -16?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -600855160 to the nearest 1000000.\nAnswer: -601000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 11:47 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 2565.\nAnswer: -5130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23416 by -2.\nAnswer: -11708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2822104 to the power of 1\/2, to the nearest integer?\nAnswer: 1680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/5, 182.56 in increasing order.\nAnswer: 1\/5, 4, 182.56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m + 9. Suppose 2*w + 3 = -5. Let j be g(w). Calculate the highest common factor of 7 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m**3 + 10*m**2 + 5*m + 16. Let h(b) = 6*b**3 - 12*b**2 - 6*b - 17. Let q(o) = -3*h(o) - 4*r(o). What is the units digit of q(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20426935 divided by 5\nAnswer: 4085387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*u + 5. Let o = u + -4. Let v = 0 - o. What is the remainder when 11 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/2 at most as big as -2\/1675?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 548, 566, 584, 602, 620?\nAnswer: 638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 3*a - 1. Let m be r(-9). Let f = -51 - m. Solve -t - h = 3*h + 6, -3*t + 2*h - f = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398999.4 kilograms in tonnes?\nAnswer: 398.9994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 9*h - 13. Give k(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4f - -22?\nAnswer: -2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a**2 - 40*a**3 - 41*a**3 + 80*a**3.\nAnswer: -a**3 + 8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2430*r - 3235*r - 591*r - 3578*r + 2255*r.\nAnswer: -7579*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -12. Let q be 6\/15*s\/16. Suppose 3*f - 1 + 13 = -3*l, 2*l + 5 = -5*f. Which is the second smallest value? (a) 3 (b) f (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 14 + 124498*d**3 - 124505*d**3.\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 2) in base 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/13 (b) -119\/26 (c) 1 (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 2*f - 5. Does 2 divide v(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sivrh. Give prob of sequence rhv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 63 = -k + 98, -k = -5. Solve u*l = 18*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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 f(w) = 10*w + 9. Let j(g) = -5*g - 4. Suppose 0 = -5*z - 2*x + 15 + 5, -4*x = -3*z + 12. Suppose 0 = t + y + 5, 3*t - 4*y + z = -t. What is t*f(o) - 7*j(o)?\nAnswer: 5*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 309, 2 in increasing order.\nAnswer: -36, 2, 309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 632 and 456.\nAnswer: 36024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.0985 - -2.18. Let k = c + -0.079312. Round k to 4 decimal places.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17*24\/((-1152)\/16)?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -10 (c) -22\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*u - 25, -3*u + 48 = u - 2*t. Suppose 4 = s - 0. What is the remainder when (-3)\/(-3) + 265\/20*s is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 911944 = 104*d - 61*d. Does 22 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44770\/3 + -14924. Which is smaller: r or 2033?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360*s - 364*s + 58 = -l, 5*s - 63 = 6*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/11? (a) -2\/2193 (b) -3 (c) 1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 140*a*d - 99*a - 81710*d wrt a.\nAnswer: 140*d - 99","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -1829446.\nAnswer: -1829443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + -1*(0 + -27). Suppose 3*u - 3*c - p = -6*c, -c = 5*u - 30. Solve 0 = -7*y + 2*y - u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -149*c**3 + 17*c**2 - 6*c - 113. Let f(i) = -25*i**3 + 3*i**2 - i - 19. Let t(p) = -34*f(p) + 6*m(p). Differentiate t(b) wrt b.\nAnswer: -132*b**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -18. Let v = -6.3 - -5.3. Which is the third biggest value? (a) v (b) h (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -165 + 169. Which is the nearest to u? (a) 0.2 (b) -1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-290)*(2145\/78 - 25).\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 19*h - 20. Let n be q(18). Let s be -7 - -7 - (-6 + n - -1). Suppose -5*t - s + 122 = 0. Solve -4*j - t = 3*y, 3*j + 2*y + 21 = -y for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.048 + 0.248. Sort -5, -4, y, -7 in descending order.\nAnswer: y, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 + 50. Differentiate 6 + 4*s - 7*s + 19*s**2 + m*s wrt s.\nAnswer: 38*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(135\/15)\/(-288)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.6 - -3. Let g = 0.5 - m. Which is the nearest to g? (a) 1 (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(77)\/sqrt(28) + 1 + sqrt(99)).\nAnswer: -21*sqrt(11)\/2 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -177*k**2 + 118*k + 76. Give u(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 15 - 3 = 0. Let j be o*(641\/24 + -2). Let x = j + -49. Calculate the common denominator of -17\/2 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-487)\/(1 - 12\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eixe when four letters picked without replacement from ffefexeeeeiig.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 + -37.7. What is the nearest to -0.1 in 2\/37, q, 3?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/85 and -99\/16388.\nAnswer: 81940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 329642.5.\nAnswer: -1318570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*h - 774 = -351*h - 5874 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 9*r**3 + 3*r**2 + 7*r + 87. Let v(a) = 4*a**3 + a**2 + 3*a + 44. Give -3*d(q) + 7*v(q).\nAnswer: q**3 - 2*q**2 + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45675, -45787, -45889, -45981, -46063?\nAnswer: -46135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -596097282 times -4\nAnswer: 2384389128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i + 3*i**2 - i**3 + 2*i + 2*i**3. Suppose 0 = -4*g + 192 - 180. Let y be (18\/g + -3)*(2 - 3). Give q(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 73 = -5*k - 6, 2*l = 2*k - 34 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49.8 + 95.8. Put 0.3, k, 4, -5 in ascending order.\nAnswer: -5, 0.3, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.08151 rounded to 2 dps?\nAnswer: -41.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5909 + 7208 = -2247*q - 9353 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4095700 greater than -4095705?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3737 + -3739. Which is the closest to 0? (a) -6\/7 (b) v (c) -0.5 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 1248 = -21*g. Let m = g + 173. What is the remainder when m is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/((-17)\/4301)*(1 - (-14)\/(-1)).\nAnswer: 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1068301746?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -5928 greater than -2686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2738*t*v**3 - 8721*t*v**2 - 3*t - 6*v**4 - 29*v**3 - 2*v**2 + v + 189 wrt v?\nAnswer: -16428*t - 144*v - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1026 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2052 and 540?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2342340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4127 to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 119*i - 114*i - 11, -8*u + 4*i - 28 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + n - 1. Suppose -56*p + 464 = 60*p. Let m(c) be the first derivative of -p*c + 1\/2*c**2 + 16 + 4\/3*c**3. Give -2*b(t) + m(t).\nAnswer: 2*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/246088 and -37\/16190.\nAnswer: 1230440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 211036739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 161 - 159. Solve -2*t + k*r = 2*t + 2, -3*t = -4*r - 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*n - 6*n**2 - 31 + 31.\nAnswer: -6*n**2 + 77*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*n = 2*q, -2*q + n - 4 = 0. Let z = -0.005 - 0.095. Which is the nearest to z? (a) -1 (b) q (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s - 1. Let c be p(-2). Let r = c + 0. Suppose -4*m + r = -3*o - 0, 0 = o - 5*m + 9. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1552 + -4?\nAnswer: -1556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 103 (base 5) to base 3\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/6 + (-6 - -3). Which is the nearest to 0.4? (a) 0.06 (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -85 + 84. What is the second smallest value in 2\/9, 2\/5, 6\/7, l?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*-4*1*31\/930.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 9*m**2 + 9*m - 5. Let b be t(8). Suppose 32 = -4*h - 4*y, b*y + 5 + 7 = h. Is h\/(((-10)\/(-36))\/(-5)) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3071568254 to 5 decimal places.\nAnswer: 0.30716","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = 13 - 35. Let q(s) be the first derivative of 4*s**3\/3 - s**2\/2 - 1. Let b(r) = 3*r**2 - r. Calculate f*q(d) - 3*b(d).\nAnswer: -d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 61, 293, 923, 2149, 4169, 7181?\n\"Answer: 33*d**3 + d**2 - 2*d + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -g - 3*z - 13, -5*g = -z + 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 1) + -5 - (-2 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472582 is divided by 420?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r + 8*r + 6*r = 0. Let z(w) = -7 + 3 - 6 + w**2 + w**3. Calculate z(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 11:01 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1 = 0, -3*g - 2*m + 86 + 9 = 0. Calculate the remainder when g is divided by 16\/(16\/(-4)) - -21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1625 and 49985.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 0)\/(40\/20)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47915 + 99973 = 1896*o for o.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 6 = 3*z, 8 = z - 57*d + 55*d. Solve z - 4 = -15*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 divided by 4?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (2*1538\/4)\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33035186?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, n: 3, f: 2, e: 2}. What is prob of picking 1 f and 2 n?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4444 - -4579. What is the greatest common divisor of i and 1395?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20409402 a multiple of 699?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72815 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1\/5, 4\/5, 2, 1\/4 in descending order.\nAnswer: 2, 4\/5, 1\/4, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 321*t - 132*t - 153*t to h*t + a and give h.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 35*o**3 + 3*o**2. Let a(t) = 70*t**3 + 5*t**2. Suppose 51*u - 345 = -24*u + 6*u. Give u*g(w) - 3*a(w).\nAnswer: -35*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 478 = i - 2*i, -v + 98 = -i. What is the highest common factor of 3 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -5*y - 4895 + 4929, 2*y - 5*m = -35 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80750 + -25391. Suppose -12507 - j = -6*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*g + 4, 5 = -3*r - 2*r. Suppose 0 = -g*o - 3*o + 20. Solve 0 = -o*w + 3*k + 19, -2*w + 0*w - 2*k - 8 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.20162 centuries in years?\nAnswer: 3220.162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 4*l + 29 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 r when four letters picked without replacement from {q: 1, u: 1, r: 2, o: 1, j: 1, n: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1000.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-16)\/768*2*93\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i*k**2 + 262955348*i*k - 96*k**3 - 2583*k**2 wrt k.\nAnswer: 2*i - 576*k - 5166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1184)\/(-768)*-42 - -69\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m - 46. Let v be q(-24). Let b be (7 - 140\/21)\/(v\/6). Is b less than or equal to 7\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 - 1640*y**2 - 17556*y.\nAnswer: -4*y*(y + 11)*(y + 399)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 t, and 1 z when three letters picked without replacement from {a: 1, q: 2, z: 1, t: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 666 divided by 2799\nAnswer: 74\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318*w - 22 = 2*h - 322*w, -5*w + 5 = 5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, -1\/366, -3\/7?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i + 9*i - 122848 = 0. Does 26 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6116159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1 + -1 + sqrt(11))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 5*d + 7*d - 9*d)*(32577 - 32577 - 154*d).\nAnswer: -462*d**2 - 616*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f**4 - f**3 + f**3 + (-f + 1 - 1)*(f**3 + 0*f**3 + 0*f**3))*(-1 + 3 + 1).\nAnswer: 15*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 103455047 to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 54403?\nAnswer: 54403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1272 in 4\/3, -0.422, -3\/5, -0.2, 0.46?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaappapaa. What is prob of picking 4 a?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 2646843 = f, 0 = 5*l - 3*l + 5*f - 529405. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 685*y**6 + 933*y**2?\nAnswer: 82200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 j when three letters picked without replacement from {l: 7, c: 1, j: 5}.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 536 - 534. Solve -3*r + 10 = a + 9, 0 = 5*a + v*r + 21 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - 4. Let h = v + 10.99973. Round h to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-24318623\nAnswer: -12159311.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6\/(-21) + (-732)\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11132.1588006 - -11145.1588. Let w = y + -13. What is w rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 245*h**2 - 21. Is a(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**3\/7 + 468233*a**2\/7 + 668915*a + 11706075\/7 = 0 for a.\nAnswer: -5, 468243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*l**3 - 58*l**2 + 5*l + 221427.\nAnswer: 39*l**2 - 116*l + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18c + 0?\nAnswer: -18c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**7\/w*w*w**(1\/8)*w*(w*w*w**(-5))\/w*w**3*((w**(-11)\/w)\/(w*w\/(w\/(w*w**(-5\/4)))*w*w))**(50\/7) assuming w is positive.\nAnswer: w**(-5501\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - h. Let a be r(0). Suppose a = 8*u - 3*u - 5. Is 2\/15 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480517 (base 13) in base 6?\nAnswer: 100425341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v + 5. Let o(t) = t. Let z(i) = i + 1. Let j(b) = 2*o(b) - z(b). Let n(r) = -r**2 + 3*r + 6. Let a be n(5). Calculate a*j(q) - c(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = 2*v + 2*y, -y + 4*y = -3. Let a = v + 32. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4095 = -3*p + 3252. Is p a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 1)*(-8 + 8 + 6*a**2) + 6*a**2 - 3*a**2 - 2*a**2 + (-2*a - 3*a + 4*a)*(-a - a + a) to the form d*a + u*a**2 + p and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0078 - -0.3078. Let a = -1 - 3. Put -5, 1, t, a in increasing order.\nAnswer: -5, a, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 9 + 3 + 184405*a**3 - 184413*a**3 - 20 - 1.\nAnswer: -8*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4907341?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/12, 4, -2\/3, -1\/4, 2\/13?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r = -3*d - 18, -d = r - 6. Suppose 0 = -r*i + 2*i + 16. Suppose 0 = 5*u + 4*c - 41, 0 = -3*u + c + 3*c - 1. Solve -i = w - u*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1667761, -1667444, -1666909, -1666150, -1665161, -1663936?\nAnswer: -1662469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 0 + 17*j - 37\/2*j**2 + 10*j**3. List the prime factors of w(4).\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 790.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.037 not equal to 86140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4135*d - 4097 - 9323*d - 5082 + 2345 - 5281*d wrt d.\nAnswer: -10469","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-172888)\/46543 + 26\/(-91) + 4. Is 1 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/720 and -127\/2557728.\nAnswer: 12788640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**4 + 21*h**2 + 2. Let k(z) = 7*z**4 - 44*z**2 - 4. Let p(u) = -4*k(u) - 9*l(u). What is the derivative of p(m) wrt m?\nAnswer: -4*m**3 - 26*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 480 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -616389 + -8?\nAnswer: -616397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 1 + (2 - -4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -10.2. Let r be -2 - (0 + (-3)\/2). Let b be (3\/(-30))\/((-1)\/2). What is the nearest to r in b, 0.5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 6480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 7*r**2. Let q(v) = -3994 + 3994 + 3*v**2. Determine q(b(f)).\nAnswer: 147*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**3 - 1664*p**2 - 25860*p = 0. What is p?\nAnswer: -15, 0, 431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r = 15*r + 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) 5 (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1546 (base 7) to base 5\nAnswer: 4442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3\/5*m**4 - 339\/5*m**2 + 882\/5 - 483\/5*m - 57\/5*m**3 = 0.\nAnswer: -7, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-5))\/(10\/50). Let y = -2 + 4. Suppose 3*q + y*q = 0. Solve -5*r = q, -4*u + 4*r + d = -6*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177056833?\nAnswer: 177056833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15888204 divided by 1324017?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*a - 125. Suppose -5*t + 0*t + a = 0. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 9:24 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 1129*t**2 + 10*t + 4. Let u(y) = -1693*y**2 - 14*y - 6. Give 7*s(x) + 5*u(x).\nAnswer: -562*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000752008131 rounded to 7 dps?\nAnswer: 0.000752","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7570 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 5\/293 (c) 4 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - (-16 - (-12 + 3))) + -5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-424)\/(-20)*(-58)\/928 and -43\/440?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*r + 39*r = 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((-1*sqrt(117) + -1)*1 - (5 + sqrt(117) + 1 + -4)))**2.\nAnswer: 36*sqrt(13) + 477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67428*-1106.\nAnswer: -74575368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -955, -3080, -6389, -10888, -16583, -23480?\n\"Answer: -t**3 - 586*t**2 - 360*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1476570169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (12\/40)\/(2585\/(-1222)) and -8\/33.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, f: 1, d: 1, j: 1, i: 4}. Give prob of picking 1 d, 2 i, and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -9, 2, 7.\nAnswer: -9, -1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/8350 and -161\/5010.\nAnswer: 25050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28\/5 in 1\/4, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xl when two letters picked without replacement from {r: 1, l: 6, x: 9, d: 3}?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 225 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 178b?\nAnswer: -1794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - p + 0*p)*(2*p - 2*p - p**4) - 3*p**5 + 3*p**5 + p**5 + (2*p**5 - p + p)*(-2 - 2 + 2).\nAnswer: -2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 12 - 18 + 2*k + 3*k**2 + 4*k - 4*k**2. Let y(o) = 2*o**2 - 11*o + 11. Calculate -11*n(h) - 6*y(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 23474, -4\/7, 1\/7, 12?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.14 in 2, 3, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -410100 (base 12) to base 6\nAnswer: -33440400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 64\/17 or 3?\nAnswer: 64\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u + u**4 - 4*u - 4*u + 4*u + 4*u**4 + (u**3 + 3*u**3 - 2*u**3)*(0*u + 0*u + 2*u) - u**4 + 3*u**4 + 0*u**4.\nAnswer: 11*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wjjnjookwho. Give prob of sequence wjo.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 88 = -50. Suppose 28*l - 10 = i*l. Suppose -305 = -5*v + l*p, -2*v + 5*p = -5*v + 183. What are the prime factors of v?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -176700, -353415, -530140, -706875?\n\"Answer: -5*v**2 - 176700*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 842.9344 hours?\nAnswer: 3034563.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7296*w - 1863*w**4 + 37300*w**2 - 74604*w**2 + 37305*w**2 wrt w?\nAnswer: -44712*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, a: 3, b: 2, t: 1}. What is prob of sequence aa?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11133930*r**6 + 3*r**5 + 39525662*r**2 wrt r?\nAnswer: -1336071600*r**3 + 180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 4:04 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1*1*(420\/5)\/(-12)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 9:27 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 5 - 181*d**2 + 176*d**2.\nAnswer: -5*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10954717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v = 3*n + 171, 4*v = 2*n - 222. Suppose -y + 14 - 216 = 0. Let p = v - y. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, y: 8, c: 3}. What is prob of sequence cxyx?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 293175 + -293174.1. Let m = 533 + -12257\/23. Sort g, 0.4, -1\/7, m in descending order.\nAnswer: g, 0.4, m, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -5\/6 (b) -0.8 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -23*d**2. Let w(g) be the third derivative of 0 + 0*g**3 + 1\/24*g**4 + 0*g - 3*g**2. Determine q(w(o)).\nAnswer: -23*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 494770734 + -494771437.000569. Let b = a - -703. Round b to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -177290512 divided by -742\nAnswer: 238936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(108)*-4 - sqrt(108))*2)**2.\nAnswer: 10796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 2 - 7\/4*y**4 + 3*y**2 - 8\/3*y**3 + 6*y. Let m(h) = 15*h**3 + 17*h**2 - 13*h - 13. Determine 13*k(n) + 6*m(n).\nAnswer: -n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**4 - m**3 + m**3 + 4*m**4 - 4*m**4 - 2*m**4 + (3*m + 0*m - m)*(0 - 2*m**3 + 0))*(-3*m + 4*m - 2*m).\nAnswer: 7*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and 18.2561?\nAnswer: 146.0488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z**4 + 32*z**3 - 37*z**2 - 128*z + 132 = 0. Calculate z.\nAnswer: -33, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 639\/28 - 113\/14. Are 14 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -211 + 210.9952. What is a rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 + 3*s**3 + 3*s**3 + s**3.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of 39*g**4\/8 - 76*g**3\/3 - 95*g**2 + 1. What is the units digit of p(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 5*b - 8*o - 18, -2*b - 5*o = 30 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*b**2 - 24*b**2 - 19*b**2 + (0*b - 2*b + b)*(-3 - b + 3) - 4*b**2 + 5*b**2 + 7*b**2.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*s + 211 + 109, -322 = -3*c + 4*s. Solve 28*j - c - 62 = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215840 divided by 53960?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 187 + -147. Calculate the highest common factor of w and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63 + -357)\/(-42) + 15\/(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -2 (c) -163 (d) -3 (e) 0 (f) -99\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*p**2 - 8*p**2 + 2*p**2 in the form z*p + h + w*p**2 and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence og when two letters picked without replacement from {c: 3, o: 2, g: 1, a: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 131*v**2 + 5*v + 6. Let r(u) = -247*u**2 - 9*u - 12. What is 7*d(g) + 4*r(g)?\nAnswer: -71*g**2 - g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -88*m**3 - m + 4*m**2 - 2*m**2 + 2*m. Suppose 27*z + 6 = 21*z. What is the units digit of h(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2061?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 43, 89, 151, 235, 347, 493?\n\"Answer: k**3 + 2*k**2 + 33*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1372, 2153, 2766, 3205, 3464, 3537, 3418?\nAnswer: 3101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(8\/(-4))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2662600 - 120840 = 24440*u for u.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (105\/21)\/(3*10\/36)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 8*w - 14. What is the remainder when 73 is divided by z(11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 f, and 2 g when four letters picked without replacement from {f: 4, a: 4, h: 2, g: 3, k: 3}?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5 - 9 + 5 - 9*w + 2 - 3*w**3 + 9*w**2.\nAnswer: -3*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (94\/(-418))\/((-8)\/(-128)*8). Let p = f - -12\/19. Put -101, p, -0.1 in decreasing order.\nAnswer: p, -0.1, -101","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/36569 and 43\/23959.\nAnswer: 694811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - d + 5 = -3*z, -d + 3 = z. Let a = z - 3. Suppose 2*v = 2 + 2. Sort v, -5, a in descending order.\nAnswer: v, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 3 + -1 + -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69 - -64. Sort m, 1\/9, -6 in ascending order.\nAnswer: -6, m, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -453 = -3*d + 3*l, -2*l + 306 = 2*d - 0*d. Does 32 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -5*x + 35, -4*h - x = -20 - 2. Suppose 3*z = c - 5, -2*z + h*z + 22 = 2*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2ddc - 4?\nAnswer: 2dd8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 9:55 AM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -1383062.\nAnswer: 1383062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) - (sqrt(242) + sqrt(242) + -1 + -5) - -4*(sqrt(242) + 1)) + (-4*(sqrt(242) + 1) - 3*1*sqrt(242)))**2.\nAnswer: -528*sqrt(2) + 3908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 112854563 to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2175.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 91 + 232*n - 318 - 376 + 92 - 243*n - n + 0 + 0 + n - 3*n + n + 3*n + 3*n - 4*n + (2*n + 0 + 0)*(0 + 0 + 2) + 0*n + 3*n - 6*n - 3*n - 2*n + 3*n.\nAnswer: -12*n - 511","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.5 - 0.5. Let g = -21.39 - -22. Let t = -0.11 + g. Which is the third biggest value? (a) o (b) -1\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10297, -10298, -10299, -10300, -10301?\nAnswer: -10302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k. Let a = 28 + -19. Suppose -4*z = a*z + 65. Let c(i) = i. Let t(b) = -b. Let w(r) = z*c(r) - 2*t(r). Calculate w(o(v)).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.4 (b) -2 (c) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -98.62 times -37?\nAnswer: 3648.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -54.7 in 3\/2, -2\/11, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 10, -8*t - 6468 = -2*b - 6438 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 6)\/(6\/45). Suppose -38*u - 77 = -v*u. Solve -2*r - u = -3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 280?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 10 (b) 270 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/20)\/(3\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 5*l**2 - 4*l - 1. Let q be s(3). Suppose 1 = 2*j - q. Factor m**2 + 2*m**j + m**2 + 0*m**2.\nAnswer: 2*m**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + 3.9. Let q(f) = -2*f**2 - 12*f - 20. Let t be q(-8). Let x be (234\/t)\/(3\/(-2)). Which is the third biggest value? (a) x (b) -3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.44 + 3.04. Which is the second biggest value? (a) y (b) 18 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b - b - b**3 - 12*b**2 - 3*b + 10 + 3*b. Suppose -3*j - 30 = 2*q, 5*j = 2*j + 5*q - 51. What are the prime factors of k(j)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 7*x = -28. Suppose 0*k = -k + x. Let g(f) = -f**2 + 8*f - 3. What are the prime factors of g(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 38999, -0.4, 0.054?\nAnswer: 38999","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21786109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 172 = -2*o, 10 = -k + 2*o + 48. Let b = k + -43. Which is smaller: 1\/31 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - z + 3*z)*(0*z - 2*z - 2*z)*(-2*z**3 + 0*z**2 + 0*z**2) + (2*z + 4 - 4)*(2*z**4 + z**4 - 4*z**4).\nAnswer: 6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 89*o**3 - 2*o - 2. Let j(b) = 178*b**3 - 5*b - 5. What is -2*j(x) + 5*q(x)?\nAnswer: 89*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 6 - 3)\/((-4545)\/(-30))?\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, u: 2, l: 1, e: 1, x: 1, k: 1}. What is prob of picking 1 x and 1 u?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 x when two letters picked without replacement from {u: 7, p: 1, a: 3, x: 1, b: 2, m: 4}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153304 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-6 + 2)) + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58308480?\nAnswer: 2, 3, 5, 53, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 405 = 41. Suppose -v + s = 2*v - 4*x, -3*x + 13 = v. Calculate the common denominator of 2\/4*135\/v and -52\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 6*o + 3 = 0. Let v(p) = -7*p**3 + 3*p**2 - p - 4. Let h(f) = 4*f**3 - 2*f**2 + f + 2. Let q(y) = -5*h(y) - 3*v(y). Calculate q(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 365.7 + -366. Suppose 0*u = -2*u - 16. What is the second biggest value in 2\/7, l, u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -378, -387, -402, -423?\n\"Answer: -3*a**2 - 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 - -a4?\nAnswer: b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, 197, 621, 1215, 1979, 2913?\nAnswer: 4017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 376257 divided by -2337?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-2810)\/38 + 2*(-6)\/228.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*f + 45 - 220 = 0. Solve -f*v - 26 = -1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5 - 31 = -4*i, -3*r = -i - 15. Suppose y = 5*q - 17, q - r*y - 13 = -y. Let x = q - 2. Solve -t - 2 = x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -1. Let i(o) = -3. Let j(z) = -7*d(z) + 2*i(z). Let y(q) = -q - 4. Determine 4*j(v) + y(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -161 - -89. Let q = 54 - 46. Calculate the lowest common multiple of l\/(-3) + 10\/5 and q.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -30.48. Let x = -0.12 + m. Let d be (-6)\/(-3) + (-12)\/7. Sort -1, d, x in descending order.\nAnswer: x, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1160 and 71.\nAnswer: 1231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68 - -17. Calculate the remainder when k is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/9*(-120)\/(-40)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6761 and 1781401802?\nAnswer: 6761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 7:50 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8000)\/(-256))\/125*(-13)\/(91\/(-140))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 609.71139 minutes?\nAnswer: 0.4234106875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*x - 72 + 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**3 - t**5 + 2*t**3 - 4 + t**5 + 4 + (2*t**3 + 0*t**3 - 5*t**3)*(1 - 1 + 2*t**2).\nAnswer: -6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 30\/(-21))*-7. Let j be (-2)\/(r\/(-33)) - 3. Which is the closest to 0.2? (a) j (b) 0.5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/7*(-14)\/(-48). Let b(s) be the third derivative of v*s**4 + 0*s + 0 + s**2 - 1\/60*s**5 + 1\/3*s**3. Factor b(i).\nAnswer: -(i - 2)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(245) + -1)*4)**2 + 2*(sqrt(405) + sqrt(405) + sqrt(405) + (sqrt(405)*-2)**2))*-4*-4.\nAnswer: -2720*sqrt(5) + 114816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 108682?\nAnswer: -1\/54341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/20*(-43)\/((-59641)\/(-228))*(-6)\/27.\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12230265163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1357? (a) -0.05 (b) 0.09 (c) 1\/5 (d) -3 (e) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**4\/12 + 7*c**3\/6 - 21*c - 1. Suppose -2*u = -3*b + 8*b + 22, -5*u + 20 = 0. Calculate o(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1643 + -1641. What is the second biggest value in 2\/33, -3\/4, c, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5193531907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4*y = 160, y - 5*y = -5*i - 160. Let z = i - -34. Suppose -3*m + 3 = -z*m. Solve -f = -m*f - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 3:14 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 48 - 12. Let k be 4\/6 - 3\/u. Let x = 1.4 + -0.4. What is the nearest to 0 in -0.5, k, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003968 a multiple of 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95 - 48 - 386*m - 47.\nAnswer: -386*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = x - 2. Let c = -38 + x. Suppose -w - 21 = -3*n + 4*w, -5*w - 17 = -n. Solve n*l - c*v - 1 = 11, 0 = l + 3*v + 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m + 88. Is 11 a factor of b(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144066 is divided by 82?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/79086 and -33\/1076?\nAnswer: 158172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 108.55 rounded to zero decimal places?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 7*y = 0. Suppose -h - 5 = -2*j, 0 = 5*j - 2*h - h - 15. Factor 0*f**2 - 1\/2*f**4 + y - 1\/4*f**5 - 1\/4*f**3 + j*f.\nAnswer: -f**3*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (2 - 0)) + 10 + -10 + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2165189647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2194607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3630, 9, 1 in ascending order.\nAnswer: -3630, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**2 + 44*y + 58. Determine i(-15).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.990114 + 0.99. Round i to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 320 and 192?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*z = -4 + 18, 13 = 2*o - 3*z. Suppose 782 = o*m - 232. List the prime factors of m.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-75)\/27*-3)\/(-210*(-15)\/1890)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5762 and 130623736.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l**2 - 10 + 2*l + 20 - 6*l**2. Let f be u(4). Let i be f\/((-8)\/(-6))*(-20 - -18). Is i <= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3948234006 to the power of 1\/3, to the nearest integer?\nAnswer: 1581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -226 + 246. Let y be (s\/10 - (2 + -2)) + -3. Let c = -1\/12 - 5\/12. What is the nearest to 2\/9 in y, -10, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 9*m - 4*g - 286 = 0, 5*m - 466 = 4*g. Calculate the smallest common multiple of m and 5.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from pyppyppy.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/18395216 and 91\/26278880?\nAnswer: 183952160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -1 - 4) + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 11 + (-50)\/15.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 58\/(-13949)*-13 - 2744\/(-3996). Let n be (-1 + 1)\/(0 + 2). Is n > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**3 + 2*t**2 + 72*t + 70. Calculate i(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, -4, 0.5, 2, -8.181, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1936 + 7*t - 68*t**3 + 30*t**3 - 8*t - 168 + 39*t**3 in the form f*t**3 + j*t**2 + y + n*t and give y.\nAnswer: 1768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/4*(-3)\/27\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338619 is divided by 29?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*b - 82. Let t = b + -20. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 - 2*c**3 + 7 - 6 + c**4 - 4 + 3*c**2 + c to the form p + r*c**3 + v*c**2 + y*c**4 + j*c and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -219 + 287. What is the lowest common multiple of d and 11?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.6 (b) 62 (c) 1\/3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, 4, 223, 3 in descending order.\nAnswer: 223, 8, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 6*i**2 + 215*i - 31. Determine f(-36).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 4*y - 34 = -30 - 22, -y = -5*t - 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q\/(q*q**(8\/3)*q*q)))*q)\/((q\/q**(-19)*q)\/q))\/(q*(q**(-17)\/q)\/q*q)**(2\/21) assuming q is positive.\nAnswer: q**(-463\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 8:03 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2 = -w, 0 = -2*m + w + 6 + 10. Suppose 0 = -v - 2*r, -m*r = -r. Suppose 0 = -v*l - 4*l + 5036. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + (-3)\/(60\/(-32)). Let f = 7 - u. What is the nearest to f in 2\/5, -3\/8, 5, 0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**4 + m**4 + 4*m**4 + (-9*m**2 + 23*m**2 + 6*m**2)*(-5*m**2 - m**2 + 3*m**2).\nAnswer: -58*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + j - 16 = 0. Let a = j + 13. Suppose 3*w = -n + 7, -4*n - 5*w + 0*w + 14 = 0. What is the least common multiple of a and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 910 and 9555?\nAnswer: 19110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*v - 22 + 50 + 61*v - 14 - 10*v - 14.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -80, -183, -326?\nAnswer: -509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*u**3 + 688*u**2 + 27537*u.\nAnswer: -126*u + 1376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8130017 nanometers to millimeters.\nAnswer: 0.0000008130017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2262 - -712?\nAnswer: 3174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 850.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -15*o**3 + 4*o - 1. Suppose 5*h + 32 = 3*i, 16 = 24*h - 28*h. Let v(a) = -4*a**3 - 3*a**3 - 1 - 7*a**3 + 3*a. Let r(b) = i*v(b) - 3*m(b). Give r(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 3?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q + 30*q = -6*q + 138 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13\/5 of a millennium?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9802590*w - 2733141 wrt w?\nAnswer: -9802590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k - 248. Let j(l) = -60*l - 2. What is j(q(y))?\nAnswer: -120*y + 14878","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 4*k**4 + 10604*k**3 + 31788*k**2 + 31780*k + 10592 = 0.\nAnswer: -2648, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32607707 (base 8) to base 6.\nAnswer: 410215143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*v - 35714 - 13386. Is 41 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -l**4\/12 - 3*l**3\/2 - 4*l**2 - 2*l. Let d be a(-7). Suppose -d*b = -b, -4*b = -4*s + 160. Is 20 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 420 divide 649040855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5509 + -82564\/15. What is the common denominator of b and -6*1 - (585\/(-81) - 1)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/6)\/((-7670)\/(-6903))*-44.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*((-3 - 0) + 2). What is the smallest common multiple of 11 and ((-63)\/(-36))\/(f\/8)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 28*p - 2. What are the prime factors of k(1)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*w + 8 = -140*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 32\/7, -1, 2\/2933?\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yryrkrr. What is prob of picking 2 r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of 0*z - 1\/8*z**4 + 0 - z**2 - 2\/3*z**3. What is the units digit of x(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**16\/j**8)**(-3\/25) assuming j is positive.\nAnswer: j**(-24\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9057 and 10270638.\nAnswer: 10270638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 948\/19 - 6560\/133. Let f = -1\/36 + -209\/252. What is the closest to -2\/7 in -2, p, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q + 6. Let k be a(6). Suppose 5*p + 2*r = 218, -3*p + 5*r = 3 - 140. Suppose -k = -v + s, 4*v + s - p = v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-1 + (15 - 1)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 111073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -472*k + 303*k - 756*k = 45325 for k.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1880286 (base 10) to base 12\nAnswer: -768166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in 0.96, 2\/11, 241, -2\/9, -0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, 47, 225, 569, 1133?\nAnswer: 1971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190848*x + 110 = -190853*x for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9728 - 9758) + (1 - 45).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-1)*s)\/s)**(-45)*(s**(-1))**(-9\/8))\/((s**(-1\/2))**(-25)*s**(2\/15)*s*s**(1\/3)) assuming s is positive.\nAnswer: s**(3859\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/16)\/(5\/6*36\/20).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45766 and 934?\nAnswer: 45766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 6*g**2 - 14. Let i be v(-7). Calculate the highest common divisor of i and 385.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3102 and 528?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**2\/3 - 120164*a\/3 - 1121008 = 0.\nAnswer: -60054, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -569 + 571. Which is bigger: g or 0.09?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1885\/110 - (-107 - -124)?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -6*r**3 - 3*r**2 - 3*r - 3. Let y be (-6)\/(-27) + (-80)\/36. Calculate the remainder when c(y) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.034 + 0.166. Let p be 0 + 3*4\/(-24). What is the third smallest value in -1\/6, p, o, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/175)\/(-1*115\/25)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cpcxxxeece. Give prob of picking 1 p, 2 x, and 1 c.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17282 + -10377. List the prime factors of a.\nAnswer: 5, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/22 and (3\/1240)\/(-2 + (-76)\/(-35))?\nAnswer: 5456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 17*x + 119. Calculate k(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*r - 3076*r - 2589*r.\nAnswer: -5517*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.08 (b) -3 (c) -2\/5 (d) -2\/17 (e) 0.1 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 314 + -311. Solve y*a + 8 = 2*x - 0*x, -8 = -2*x - 4*a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -v + 27. Let d be (-72)\/v*9\/(-2). Let m = -9 - d. Solve -2*b - 5*i + 14 = -m*i, -2*i = 5*b - 20 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -15*g**4\/4 - 115*g**2. Let u(l) = 10*l. Calculate -6*m(t) - 52*u(t).\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*u - 0*u - 2, 5*u = 4*p + 2. Suppose p*x + 132 = 6*x. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 0*b**2 - 6*b - 4*b - b**2 + 19*b - 10*b. Let r(k) = -k**2 + 2*k. Calculate 2*r(a) + 4*v(a).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 4. Suppose -2*k + 38 = 40. Let f(w) be the third derivative of -w**5\/60 + w**4\/12 - w**2. Let c(l) = -l. What is k*f(r) + z*c(r)?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9756415*q**3 - 3*q**2 + 1493775.\nAnswer: 58538490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*v + 43 = 0, -4*o - 4 = 2*v + 2*v. Let r = 0 + o. Is r\/(1*-3) - -47 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8412 + 8541. Solve -w = -51*z + 126 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 506523 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 1:38 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 14*o - 51. Determine p(22).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 163, -1055 in increasing order.\nAnswer: -1055, 8, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, 349, -0.1, 0?\nAnswer: 349","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 26167117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7473.2597 + 7474. What is h rounded to 2 decimal places?\nAnswer: 0.74","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qjq when three letters picked without replacement from erqrrrqeerjererqqeer.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 + -0.674. Which is the second smallest value? (a) 2\/5 (b) -0.4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 21*d**3 - 14205*d**2 - 3121341*d + 1340325 = 0?\nAnswer: -175, 3\/7, 851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 9*m - 9. List the prime factors of h(7).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 7*v + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15332*y**3 - 17*y**2 + 20*y - 19 wrt y?\nAnswer: 91992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 480610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2391 * 0.2.\nAnswer: 478.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 203866, 203867, 203868, 203869, 203870?\nAnswer: 203871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 17*g**2 - 14*g + 1. Let l = 52 - 57. Let m(z) = 3*z**3 + 33*z**2 - 27*z + 1. Let u(n) = l*x(n) + 2*m(n). Is u(19) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30868 to the power of 1\/2, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10265983 is divided by 414.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-60)\/(-26))\/(-2) - 40\/(-260). Let y be (-168)\/(-44) - (b + 36\/44). Let n be -3 - -2 - (-1 - 5). Solve -l + 4*v - 2 = -1, 0 = -n*l + y*v + 11 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/30671?\nAnswer: -2\/30671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3342001 (base 6) in base 11?\nAnswer: 1059a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9285924 divided by 36132.\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/203688 and 31\/159408.\nAnswer: 3666384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -2, 2334403 in decreasing order.\nAnswer: 2334403, -2, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198307 - 55042 = 3780*u - 49551 - 41544 for u.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -22*t**2 - 5*t - 7. Let w(f) = -11*f**2 - 3*f - 3. Calculate 3*v(l) - 7*w(l).\nAnswer: 11*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/128040 and 11\/320.\nAnswer: 1024320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**18*i**(12\/7)\/i*i)\/(i**11*i\/i**(-4)*i) assuming i is positive.\nAnswer: i**(19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*x + 0 - 6 - 255*x**3 + 0 + 43*x.\nAnswer: -255*x**3 - x - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76812, 153630, 230448, 307266, 384084?\nAnswer: 460902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*r**3 + 17*r**3 - 10*r**3 - 23*r**3.\nAnswer: -39*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/5*d + 0 - 6\/5*d**2 + 2\/5*d**3 = 0. Calculate d.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*j**2 + j**2 - 4*j + 4*j + (4*j - 5*j + 3*j)*(-2*j + 0 + 0) + j**2 + 4*j**2 - 3*j**2 - 23*j**2 + 11*j**2 + 33*j**2.\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -597 - -11943\/20. Let d(u) be the second derivative of -1\/2*u**4 - r*u**5 + 3*u**2 - 2*u + 1\/2*u**3 + 0. Factor d(o).\nAnswer: -3*(o - 1)*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*t - 4*k, -t + 2 = -2*k - 2. Let i(q) = q**2 + 2*q. Let p be i(t). Let y = 4 - p. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41864 is divided by 523?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 3*j**2 + 3. Let n be a(3). Suppose -13 = -4*d + 5*u + 40, 0 = 5*u + 5. Factor o**4 + d*o**n - 9*o - 3*o**3 - 3*o - 4*o**4.\nAnswer: -3*o*(o - 2)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6523*-12.\nAnswer: 78276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 5:30 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence omaa when four letters picked without replacement from ooaloaaaloomo?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203103 (base 4) to base 7.\nAnswer: 6405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -920402\/195 - -4720. Let m = c - -1759\/390. Calculate the common denominator of m and 87\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -4 (b) 6 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 5\/6 (b) 8\/5 (c) -2\/533 (d) 34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 at most as big as -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 130968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 1800*n + 555. Let p(f) = 100*f + 31. Let o(l) = -110*p(l) + 6*t(l). Let x(g) = -2*g. Let z(j) = -o(j) - 48*x(j). Differentiate z(c) wrt c.\nAnswer: 296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 13815*a. Let y be f(2). Suppose 2*b + 4*b - y = 0. List the prime factors of b\/65 - (12\/39)\/(-2).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 290\/25 + 8\/20. Solve 6*i - 2*i - 3*q = -w, 4*i - q + 7 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 - 76 = 5*n - g - 169, 2*n - 32*g - 38 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2 (b) 46\/189 (c) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 200234, 401246, 602258, 803270?\nAnswer: 1004282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/4 (b) 3819 (c) 0.2 (d) 1\/2 (e) 2 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/20 and 73\/385.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 - 4332*u + 12969.\nAnswer: 3*(u - 1441)*(u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**2 + 4*o - 2 + o**3 + 8*o - 6*o. Let t be f(3). Is 6576\/45 - t\/120 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 10*v**2 + 2*v - 23. Let y = 10 - 0. Let a be o(y). Let w(n) = -2*n**3 - 7*n**2 - 3*n + 4. Let q be w(a). Solve -20 = q*b - 0*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 4*j + 14, 2*f = 3*j + 2*j + 13. Let q be (-22)\/f - (-6)\/(-9). Find the first derivative of 0*t + 1 - 5*t + q*t wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114096345807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f + 2*f - 4*f + 0*f + 0*f - f - 3*f - f + 3*f + (-6 + 3 + 1)*(4*f - 5*f + 2*f))*(0*f**2 + 0*f**2 - f**2)*(-829 + 829 - 129*f).\nAnswer: -258*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3305269683?\nAnswer: 3, 7219, 50873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2882, 2883, 2884, 2885, 2886, 2887?\n\"Answer: t + 2881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 28 - (13 - 38).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1246*i**5 - i**4 - 54*i**3 + 770*i**2 + 38 wrt i.\nAnswer: 74760*i**2 - 24*i - 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 566 divided by 9553\nAnswer: 566\/9553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2247*p**2 + p - 1 + 2219*p**2 - 6 in the form a*p**2 + n + c*p and give a.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 1 + 5)*(-17*l - 6*l - 46*l)*(1 - 1 + 1)*(-3 - 3 + 4)*(1 + 3 - 2 + (-2 - 2 + 2)*(1 + 0 + 0) - 8 - 12 + 16) in the form n*l + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-36 - -41) + 1 + -7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k + 5. Let t(b) = -b + 1. Suppose 3*z = -2*y + 15, 0 = 3*y + 5*z - 12 - 12. Suppose 2*x + y*x = -15. Determine x*t(v) + q(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12\/13 - -63\/26. Let u be 170\/(-36)*(-16)\/55. Let g = u + -14\/9. What is the smallest value in y, -0.4, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*14\/35*(1 - 26). Suppose -5*s + 130 + 35 = 0. Calculate the highest common divisor of s and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 9*u**2 + 7*u. Is w(-2) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32864 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-16)*-10)\/(20\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.44 - -0.13236\nAnswer: 1.57236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 10*f - 14 - 20 - 47 - 4 + 13. Let i be x(7). Sort 2, -5, 3, i in increasing order.\nAnswer: -5, i, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 10 + 13 + (4 - 1 - 4)*(1 + 1 - 1) - 2 + 0 + 1)*(0 + 2*v + 0)*(0 + 5 - 3)*(-7 + 3 + 1) in the form n + f*v and give f.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -1001000000?\nAnswer: -1001000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 7:41 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 10:24 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14297317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 546.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) -2\/5 (c) 0.88 (d) 2\/15 (e) 137\/5 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145163243?\nAnswer: 145163243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**3 + 79863*n**2 + 119798*n + 39933 = 0?\nAnswer: -1, -1\/2, 39933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 - 396 + 21 - 28 - 253)*(-3*n**4 - 2*n**4 + 7*n**4).\nAnswer: -1388*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10706 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + m**2 - 3*m + 4. Let v be b(-3). Let y(c) = 60001*c**2 + 9*c + 20. Let u be y(v). What is u rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(17))**2*-2 + 5 + 1 + (sqrt(119) + (sqrt(119)*2 - sqrt(119) - sqrt(119))*-2 - sqrt(119))\/(sqrt(315)\/sqrt(5)).\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.4 (c) 1 (d) 105.6 (e) -2 (f) 1.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*19*((-12)\/(-8))\/3. Let d = w - 30. Suppose 0*g = d*g - 56. Solve -u = 4*u - y + g, 0 = u - y + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 216.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -581*j**4\/5 - 4066*j**3\/5 - 3479*j**2\/5 + 6*j\/5 = 0.\nAnswer: -6, -1, 0, 1\/581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.11 and 0.187.\nAnswer: 0.297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -9344 + 9344 + 167*h as m + t*h and give t.\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-11) + 52020\/1122 + -44. What is d in -9\/2*d**3 - 3\/2*d**4 + 9\/2*d + 3 - 3\/2*d**k = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -318*c**3*x + 334*c**3 wrt x.\nAnswer: -318*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**5 - u + u + 18*u**5 + 12*u - 12*u + (4*u**4 + 0*u**4 - 3*u**4)*(0*u + 2*u - 4*u).\nAnswer: 13*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + -2 + 483 + -532.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 4*b - 130, -o - 4*b + 14 = -75. Calculate the greatest common divisor of o and 219.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1.3. Suppose -7*v - 69 + 300 = 0. Let y = 34 - v. Which is the biggest value? (a) 0.3 (b) i (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 + 51. Let q be (c\/36)\/(2\/(-6)). What is the units digit of q\/36 - (-220)\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*r - 46*r = -749 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02079834681 to 3 dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 6*a = 2*a - 16, 0 = 2*h - 2*a - 14. Let i be (h - 5) + 7 + -4. Suppose i = -3*g + 16 + 35. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 + 40. Which is the second biggest value? (a) 0.3 (b) i (c) 1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b - 6*b - 8*b + (-214*b + 116*b - 245*b)*(-2 - 4 + 5).\nAnswer: 327*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -601 - -604. Let g(b) be the third derivative of 0*b**3 - 1\/15*b**5 - 1\/60*b**6 + 0 - k*b**2 + 0*b**4 + 0*b. Find the third derivative of g(n) wrt n.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-63500)\/(-6)*((2 - 4) + -4). Round o to the nearest one thousand.\nAnswer: -64000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence okko when four letters picked without replacement from eeeoeokoeoeke?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/6*(-1 - 0). Let b = -975\/8 + 122. Which is smaller: v or b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*y + 7*t + 11 = 0, -2*y + 7 = 4*y - 2*y + t + 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1692)\/(-17766) + 1182\/(-11088)?\nAnswer: -1\/88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-27)\/(-2) + 0)*12\/18. Let j(d) = -d**3 + 11*d**2 - 16*d + 19. Is j(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 4*q + 24, 3*f - q + 26 = -5*q. Suppose 0*g - w = -2*g + 7, -5*g + 13 = 2*w. Sort f, g, 6.\nAnswer: f, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 420 = 5*i, -11*i + h + 244 = -8*i. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.052 - -0.048. Let y = -0.1 + x. Let n = -15 + 11. Which is the nearest to 1? (a) y (b) n (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -4, -16633034 in descending order.\nAnswer: -2\/3, -4, -16633034","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, 2\/19, -3, -1, 5, 0.29?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -3*c**2\/4 - 2631*c\/4 + 357018 = 0.\nAnswer: -1256, 379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2) - (-5)\/(-10). Suppose 0 = 5*i - y*i - 20. What is the second derivative of u**4 + 2*u - 2*u**i - 4*u**4 wrt u?\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 246 and 5846026?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300433 is divided by 100040?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -y + 7 + 9 + 1, 5*v - 13 - 17 = -3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*g + 1550 = -1082 + 571 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**3 + 358*x**2 + 0*x**3 - 279*x**2.\nAnswer: 2*x**3 + 79*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(84)\/sqrt(27) + (sqrt(336) + (sqrt(336) - (sqrt(336) - sqrt(336)*1)))\/sqrt(12))**2)*-4.\nAnswer: -5452\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1734 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 + 15*w**3 + 3*w**2 - 2*w.\nAnswer: 15*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 7. Let r be (4\/(-8)*1)\/(-1)*u. Factor 4*g**3 - 28*g**2 + 60*g - 21 - 1 - 11 - r.\nAnswer: 4*(g - 3)**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + s**2)*(3*s**2 - s**2 - 4*s**2) + 2*s**4 - 4*s**4 - s**4 - 3 + 2*s**4 + 3 + 11*s**4 - 75*s + 75*s + (-3*s - 2*s**2 + 3*s)*(s**2 - s**2 + s**2).\nAnswer: 6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 387\/4 in -5, 1.41, 4\/11?\nAnswer: 1.41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6*m. Let y(o) = -o - 1. Suppose -a = 1 + 3, 3*x + 5*a + 11 = 0. Let w(v) = x + 0 + 15*v - 13*v. Let s(b) = w(b) + 3*y(b). Calculate s(p(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23630531.4100059 + -23630634.41. Let h = i + 103. Round h to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-1*(-9)\/(-12))*3750\/(-100).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 - 503 = -13*s. Calculate the remainder when s is divided by 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 957.8014 litres to millilitres.\nAnswer: 957801.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 94*y**2 - 526*y - 255. Determine j(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 11648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 + 438*h + 25. Let l(a) = 2*a**2 - 445*a - 22. What is -4*i(u) - 5*l(u)?\nAnswer: -2*u**2 + 473*u + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5*t, -2*s + 16 = 3*t + 6. Let p be -4 + (s - (-2)\/1). Let c be p + 61 - (-20)\/10. What is the highest common divisor of 21 and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9822.1*-16.9.\nAnswer: -165993.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 9:24 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kusskckk. What is prob of sequence cu?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 114 - 228 = 0. List the prime factors of c.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/11965496 and 75\/44?\nAnswer: 131620456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6*l + 3. Suppose -3*o + 3 = -0. Let g = 61 + -64. Let q = g + o. Determine n(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**6\/20 - 2*c**4\/3 + 9*c**2\/2 - 9*c. Let r(i) be the first derivative of a(i). What is the second derivative of r(j) wrt j?\nAnswer: 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**2 + 31*y. Let k(m) = -4*m + 4. Let t be k(0). Suppose -2*n = a - 41, -92 = -5*n - a + 2*a. What is the remainder when o(t) is divided by n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(384\/16))\/((-2)\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1486 is divided by 425.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5.5*-0.04\nAnswer: 0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1106 (base 7) in base 11?\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 40 - -30 - 20?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ruru when four letters picked without replacement from {r: 3, u: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l + 115 = 132. Which is greater: l or -21\/101?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -869*b**2 + 1748*b**2 - 873*b**2.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32724014 + 18224014. Round q to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5410922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29814 and 690.\nAnswer: 3428610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, 66, 355, 914, 1833, 3202, 5111?\nAnswer: 7650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*b + 41899, -3*c = 77*b - 76*b - 41894. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - p - 9 = 0, -5*a + 8*p - 3*p = -25. Let h(b) = 3*b - 4*b + 4 - 5*b + a*b. Let s(c) = 9*c - 9. Suppose 30 = -5*f + 11*f. Calculate f*h(v) + 2*s(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/17865 - -89312\/232245. What is the nearest to -2\/5 in k, 0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6*i - 10. Let f be o(-7). Let r = f + 16. What is the greatest common divisor of r and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 794397.1 centuries in months?\nAnswer: 953276520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4047*c + 84*c**3 + 121*c**2 - 4047*c - 121*c**2.\nAnswer: 84*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 2*q = -y - 10, -4*q = 0. Let k(v) = -y*v - 3 + 5*v + v - 3*v. Let u be k(8). Solve -3*z = -2*g + 2*z - u, -2*g - 5*z = 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 32 - g**2 + 7.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*n**2 - 553*n**2 + 61*n**2.\nAnswer: -576*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71 - 101. Let g = -29 - b. Sort 3, 2, g, -5.\nAnswer: -5, g, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(231)\/(sqrt(88)\/sqrt(8)))\/sqrt(3).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 5:41 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3232?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 388685 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w**5 + 447*w**4 - 2436*w**3 + 660*w**2 = 0. What is w?\nAnswer: 0, 2\/7, 10, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2 + 34*y - 42. Determine a(15).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-396)\/(-726) - 197\/(-22). Is 10 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 2*v + 10. Let f = v + 35. What are the prime factors of f?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/4*(-1332)\/14985)\/6*(-2)\/(-2)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 - 56*w - 1. Let a(i) = 5*i**2 - 149*i - 1. Give 3*a(m) - 8*b(m).\nAnswer: -m**2 + m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6\/11 (b) 3.09 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -361 + 360.602. What is d rounded to two dps?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 + 4.5. Let n be ((9 - 6) + -5)*-1. Which is the closest to -0.05? (a) j (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*n**4 + 2*n**3 - 2168763*n**2 - 588786*n + 14.\nAnswer: -228*n**2 + 12*n - 4337526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 40239 divided by 2367\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 26 = 2*x + x, a + 29 = -2*x. Let m be 10\/(-5) + x\/(-1). Let u be 30*((0 - -2) + -1). Calculate the greatest common factor of u and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**2 + 7*x + 5. Let h be t(-2). Suppose 2*p - h*m = m + 6, 3*p = -m + 16. Let o be 3\/6 - 10\/(-4). Solve -o*c - 3*g = -6*g, -24 = -3*c - p*g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 415*f**2 - 98*f**2 - 108*f**2 - 100*f**2 - 95*f**2.\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1516 divided by -156355\nAnswer: -1516\/156355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 2*u**6\/45 + 2*u**5\/45 - u**4\/9 - 4*u**3\/27 + 10*u. Find d such that l(d) = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 + 3*q**4 + 3*q**4 - q**4 - 2*q**5 - 6*q**3 + q**4.\nAnswer: -2*q**2*(q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 280 and 1434104.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -23?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 85160950 a multiple of 1633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -15\/53.\nAnswer: -15\/53, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.04124557 + 0.04122. Round f to six decimal places.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 0*w + 16. Suppose w*u = 5*n + 10 - 4, 2*n + 5*u = 24. Solve 0 = -n*q - 3*q - 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11802*f = -11707*f - 93 + 473 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -18*x**2 + 891*x - 670. What is h(49)?\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*k - 465*k + 4998 = 0 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -961, -958, -955, -952, -949, -946?\nAnswer: -943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 28 + 3*l - 30 + l. Give u(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -680 - -1571. Suppose -b = 2*t + g, b = t + 5*b + 442. What is the units digit of t\/(-12) - (-12)\/(-72)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + f - 26 = 0. Suppose -4*t - 8 = 2*n, -3*n - f = 5*t - 1. Solve 5 = -t*p + p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-47)\/(-7) + 2\/7. Are 6 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 5:34 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 5 + -2 + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -0.1, -0.0083, -0.5, -2\/23, 2.93?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**2 + 4. Suppose 2*o + 5*d = 4, 21*d - 3 = 3*o + 24*d. Give a(o).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -203499 divided by -22611\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23977 and -2.\nAnswer: -47954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 16. Let y(h) = -7. Let k(r) = -3*p(r) - 7*y(r). Let a(j) = j**2 + 1. Give -a(b) + k(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 380497*o**3*u**2 - o*u**2 + 3*u**2 - 1030 wrt o?\nAnswer: 2282982*o*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 262884 by 30.\nAnswer: 43814\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -128*j**2 + 8*j + 8. Let n be l(2). Let o be n\/9 + 16\/72. Which is the third biggest value? (a) 5 (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, a: 8, l: 2, t: 2}. Give prob of sequence al.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-21))\/(8 - (-3519)\/(-441)). Let o = 3.4 + 0.6. Let h = -11 - -11.2. What is the nearest to i in 5, h, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5900201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 84878 + -53782. What is the ten thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 853837477.\nAnswer: 853837477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182*r + 9425*r + 12039*r + 12678*r + 1.\nAnswer: 33960*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*h, 3*r + h - 2*h - 1 = 0. Let f(n) = -r*n + 2*n - 2*n. Let a(c) = -6*c + 5. Let g(u) = 5*u - 4. Let i(o) = -4*a(o) - 5*g(o). Give i(f(p)).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4 + (-30)\/6)*3 - -4015?\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 + 873\/25. Which is smaller: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16\/65 + 2\/13. Let z = 0.58 + -0.8. Let p = z - 0.08. Is x less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*d**2 + 219*d*w**2 + 5*w**2 - 7*w - 55 with respect to d.\nAnswer: -22*d + 219*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*i*t**2*y + i*t**2 - 3*i*t*y + i*y - t*y + 76*y with respect to t.\nAnswer: -20*i*t*y + 2*i*t - 3*i*y - y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 10 + 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 = 4*u + 5*d, 0 = -0*u - u - 4*d + 49. What are the prime factors of u?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/2))**(1\/57)*o**(-5)\/(o\/(o*o**(-1\/10))) assuming o is positive.\nAnswer: o**(-1451\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**2\/5 + 984522*c\/5 + 1969052\/5 = 0 for c.\nAnswer: -2, 492263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1. Let n = s - 4. Let t be n*(-2 - 63\/3). Round t to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 91*d**2 + 3*d - 2. Let q(c) = 12*c - 10*c - 9*c + 4*c - 2*c. Determine q(n(h)).\nAnswer: -455*h**2 - 15*h + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 566 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1300 (base 4) to base 12\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 855 + 85. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 209*g - 7058. Determine m(-167).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h + 22*h**3 + 4 - 39*h**3 + 20*h**3 to the form y*h + q*h**2 + u + x*h**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/66*-13*54\/585.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w + 15. Let j be c(7). Let f = -25 + 69. Is f\/2 + 2\/j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in 0, 2, -49?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -68 - 94 + o**2 + 45 as c*o + t + v*o**2 and give t.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 divided by -155.\nAnswer: -8\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3058 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222 + 102?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67946*a - 65*a**2 - 211*a**2 + 67946*a.\nAnswer: -276*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.36236465 rounded to 1 decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23759261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 3. Let o(a) = 5*a**2 - a - 1. Suppose 0 = -3*h + 5 - 2. Let u be o(h). Solve -u*y - t*m + 10 = -4, -2*y - 2*m = -10 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**(-2\/9)*((w**(1\/9)\/w*w)\/w)\/w*w)\/(w**(-6)\/(w*w**1)))\/(w**6*w*(w\/w**(-1\/7))\/w*w**(2\/3)\/((w*w*w**(-2\/7)\/w*w)\/w)) assuming w is positive.\nAnswer: w**(47\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 13 + 23 = 0. Suppose -6*i + i + 4*t + 29 = 0, 0 = 2*i + t - l. Suppose -5*g + 6 = 1. Calculate the greatest common factor of g and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-92)\/4)\/((-1)\/(-2)). Let f = 68 + o. Let a(b) = 2*b**2 - 3*b - 3. Calculate the remainder when f is divided by a(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-48)\/(-26) + (-4)\/(-26). Let b be i\/3*6\/4. Let v(g) = -31*g + b - 1 + 29*g. Let y(u) = -2*u**2. Give v(y(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**3 + 3*x**2 - x + 2. Let q be l(2). Let u = q + 16. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d + 0*d + 56*d**2 - 25046 - 25033 + 50079.\nAnswer: 56*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 99 + -52 + -19 + (0 - 3)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 324 and 47448.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-36)\/12 - (-1 - 2). Suppose w + 3*h = -c*h + 178, h - 3 = 0. Let p = -87 + w. Is p 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 oolloooloyoooylollol. What is prob of picking 3 o and 1 l?\nAnswer: 77\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c + 34463 + 110241 = 0. Does 93 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 55 = 5*n, 91 = 5*n + 3*a + 28. Let m be ((-24)\/(-9))\/(5\/n*-2). Put 63, m, 4 in decreasing order.\nAnswer: 63, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -44.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -x + 3*m, -x + 5*x = -2*m + 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**4 - 2*u**4 + u**4 + (-18*u + u**3 + 18*u)*(4 - 4 + 12*u) as o + s*u**4 + z*u**3 + r*u**2 + p*u and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1143232030 (base 5) to base 2.\nAnswer: 1010010101111111011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, a: 7, v: 1, z: 6}. What is prob of picking 2 a, 1 z, and 1 v?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/7 - 117\/189. Which is the closest to t? (a) -2\/7 (b) -5 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 1. What is i(9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 35*u + 2. Let b be k(3). Suppose 2*o + b = 5*z, 0 = 3*z + 3*o - 2*o - 62. What is the remainder when 62 + 0 - (2 + (4 - 5)) is divided by z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/7 (b) 35 (c) 357\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9*1 + (-20)\/5. Suppose -8*z + n*z + 90 = 0. Suppose -5*k + 3*v - 81 = -359, 244 = 4*k + 3*v. What is the remainder when k is divided by z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.075 - -0.22?\nAnswer: 0.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -22. Let k = v + 4. Let s = -0.1 + 0.2. What is the second smallest value in k, s, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and 51028102980100?\nAnswer: 51028102980099.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76 and 1904.\nAnswer: 36176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3079, -3059, -3025, -2977, -2915, -2839, -2749?\n\"Answer: 7*p**2 - p - 3085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 3845.\nAnswer: -1\/769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -11 + -27 + -2*1. Let s = -37 - y. Let b be (0\/s)\/(4*-1). Solve b*u = 5*u - 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*v - 0. Suppose 5*x - 2*w = -0*w, 4*x + 5*w = 0. Suppose -5*a - 10 = v*y, a + 3*y = -x*y - 8. Solve t = -2 - a for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13637693 rounded to three decimal places?\nAnswer: -0.136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -0.031 (c) -10783\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 21*w - 201. Give r(-9).\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56158?\nAnswer: 2, 43, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*b - 6 = 36*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**3 + 31*u**2 + 2*u + 118. Determine q(-13).\nAnswer: 937","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -242.9 + 228. Let m = 309 + -324. Let t = n - m. What is the closest to -0.1 in 2, t, 0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45235.\nAnswer: 5, 83, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 3*p + 13, 53 = p + 5*f + 44 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1279 divided by -4\nAnswer: -1279\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 295 - (48\/(-9) + 11\/33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 4\/9 (b) -3 (c) 4\/17 (d) 0 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*sqrt(63) + -5 + -1*sqrt(28).\nAnswer: -8*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 4.8, -7, 2\/19, 1\/5, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8107854841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.0449 times 7\nAnswer: -0.3143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15475720 = -33*i + 1935820. What is i rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5415*j - 5403*j - 5423*j + 21658*j - 5419*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 times -2.7?\nAnswer: 421.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4128 = 4*t, 4*d + 4*t = 7*t + 16564. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 26. Solve -t*f = 4*j + 10, 5*f + 2 = 2*j - 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - r**2 + r + 10. Let f be i(0). Suppose -2*u + f = 0, l - 5*u + 3*u = -9. Let x(a) = -7*a + 1. Give x(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(847) + sqrt(847)*-2 + sqrt(847) - sqrt(847)) - (sqrt(847) + sqrt(847) + -1)*1) + 5.\nAnswer: -33*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 - 19884*m - 19880.\nAnswer: -4*(m + 1)*(m + 4970)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -125202 (b) -17 (c) 1\/3 (d) -0.4 (e) -2\/15 (f) 6\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(243) - (sqrt(243)*-1 + -5 + sqrt(243)))**2 + sqrt(243) - sqrt(9)\/(3*-3*sqrt(3))).\nAnswer: 892*sqrt(3)\/9 + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -8, -14, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 34427 = -i, 0*i - 27532 = -4*w - 4*i. Suppose 2*p - w = -988. Let v = -1612 + p. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 16*u**2 - 35*u - 8. Calculate o(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-36) + (-2)\/16*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**3 - 2*h**3 + 6*h**3)*(6*h - h - 3*h) - 14*h**4 + 635*h - 1271*h + 634*h - 231*h**3.\nAnswer: -12*h**4 - 231*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 - 50 = 3*v - 5*x, -5*x = -2*v - 121. Let k = 90 + v. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**3 + 14*a**2 - 2. Let y be k(-6). Let v = -5 + y. List the prime factors of v.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 6, i: 7, k: 1, h: 2, t: 1}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 43808 and 624.\nAnswer: 1708512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 142*i**2 - i - 3. Let n(f) = -71*f**2 + f - 3 + 10 - 5 - 1. Let m(j) = -2*a(j) - 5*n(j). What are the prime factors of m(1)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*z - 34 = 0, 5*h + 4*z - 2*z - 25 = 0. Calculate the least common multiple of 92 and (-2 + (-10)\/h)*-3.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 387952126 and 502.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/18 and -44\/3171.\nAnswer: 19026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, 4, 7, -3 in descending order.\nAnswer: 58, 7, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -52, -18, 102, 314, 624, 1038, 1562, 2202?\n\"Answer: o**3 + 37*o**2 - 84*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d + 3*w + 252 = 0, 0 = -5*d - 4*w + 438. Let n = -191 + d. Let i = -61 - n. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 181\/58422 and 47\/416.\nAnswer: 934752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2ba + 1533?\nAnswer: 1831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 + 21469*f**2 - 21470*f.\nAnswer: f*(f - 1)*(f + 21470)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in -40, 1, -2, 0.22, -0.1?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -8, -31, -74, -143, -244, -383?\nAnswer: -566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64375 is divided by 31921?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -33 and -168.44321 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -5*q + 10. Suppose q*r - 2*r = 6. Let d = r - -5. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y - 3. Let o(z) = -z + 1. Let c(a) = 6*o(a) + 2*v(a). Let g be c(-1). Determine m so that 4*m - 2 - 3*m - m**g + 2*m = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 22*g**2. Let v(t) = -466288*t**2. What is v(k(l))?\nAnswer: -225683392*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9900655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 2:57 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 762008 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*q - 67 = 753. Let n(v) = v**2 - 6*v + 40. What are the prime factors of n(q)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26 + 7*p**3 - 17*p**3 - 16*p**3 with respect to p.\nAnswer: -78*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 6:51 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 - 3*z**3 + z**3 + (0 + 1 - 2)*(-2*z**3 - 3*z**2 + 3*z**2))*(-3*z + 0*z + z).\nAnswer: -6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 175706451 divided by -19522939?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 7:08 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 39*u - 137. Let c(i) = -49*i - 584. Let o be c(-12). Give b(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5*(-2 - (-32)\/20) + 0. Let g = 3.2 + -4.3. Let p = -2.1 - g. Which is the nearest to u? (a) -0.1 (b) 0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2104 + -5?\nAnswer: 20aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 w when two letters picked without replacement from {s: 3, w: 10, z: 2, y: 2, r: 1, j: 1}.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51154 = 43*s - 129747. List the prime factors of s.\nAnswer: 7, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10409 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -19. Is 5 + -2 - (t - 32) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-15) - -3)*2\/(-8)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*c + 179, g - 2*g - c + 92 = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0817 - 0.0816607. Round j to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.092968 + 0.093. What is c rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 216.4 + -199. Let x = 17.649 - v. What is x rounded to 2 dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*t = 20, -3*y + 0*y = 5*t + 40. Let b(s) = -6*s - 3. Let g be b(y). What is the highest common factor of g and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -35*k**5 - k**3\/3 - 37*k**2\/2 - 172. What is the third derivative of r(d) wrt d?\nAnswer: -4200*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19226 - -19252.918. Let f = j + -19.05. Let p = 8 - f. What is p rounded to 2 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(228) + sqrt(228)*-2) + (sqrt(228) - 1*sqrt(228)*-6))\/(sqrt(768) - (sqrt(768) + 3*sqrt(768)*4)).\nAnswer: -5*sqrt(19)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170, -675, -1516, -2693, -4206?\nAnswer: -6055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f**3 + 5*f**3 + 6*f**3 + (f + 2*f - f)*(-6*f**2 + 3*f**2 + 4*f**2) - 3*f**3 + 4*f**3 + 3*f**3 to the form u*f**2 + m*f**3 + y*f + h and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 198 or 197?\nAnswer: 198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 243*o**2 - 68*o**2 + 12 to t*o**2 + n*o + c and give t.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -24. Which is the second biggest value? (a) j (b) -2 (c) 4\/11 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/18 and 11\/63.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27380*h*m**2 + 4*m**2 + m + 769 with respect to h.\nAnswer: -27380*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 2. Let n be j(-6). Let h(a) = -14*a - 3. Is h(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 23*w + 1. Suppose 3*v + 22 = -4*i, -6*v - 3*i - 22 = -v. Let n be (-15)\/(-12) + v\/8. Give p(n).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 800*d**2 + 764*d**2 - 1557*d**2.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 148152 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 7*b = -64. Let v be 54\/b + 63\/(-168). Let m = -29.5 + 29. What is the nearest to 2 in m, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8304851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -19264\nAnswer: 173376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1461225494.\nAnswer: 2, 29, 359, 70177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*1)\/sqrt(12))**2 - 5*sqrt(17)*2.\nAnswer: -10*sqrt(17) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*o = -5*h - 134, 708*h - 1415*h + 711*h - 26 = 2*o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0311716917 to 6 dps.\nAnswer: -0.031172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342127?\nAnswer: 359, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 33*p**2 + 8*p - 2. Is u(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -41*q**2 + 3193*q - 5850. Give y(76).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 115688590 a multiple of 1217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 q, and 1 t when four letters picked without replacement from {t: 11, q: 2, l: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18, -84, -194, -348, -546?\n\"Answer: -22*h**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1934 is divided by 122?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9211?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 4:49 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 12:40 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 14*m**3 - 699*m**2\/2 - 937*m\/2 - 105 = 0.\nAnswer: -1, -2\/7, 105\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 23. Let t = -7 - w. Let s be (-6)\/14 - (-2)\/7. Sort s, 7, t in descending order.\nAnswer: 7, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -5 - (-5 - (11 - 6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -7\/12 (b) -3\/2 (c) -1 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 6, -2, -14, -30, -50?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000017018793 rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -30411130 (base 5) in base 11?\nAnswer: -15a090","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.50958 less than 1.12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*sqrt(272)*-4.\nAnswer: 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 19*g**2 - 8*g + 189. Suppose 3*t - 8 = 5*z - 37, t + 33 = -3*z. What is w(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15701 - 15701. Let j(w) be the third derivative of -1\/24*w**4 + i*w + 1\/360*w**5 + 0 - 6*w**2 + 1\/4*w**3. Find a, given that j(a) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212*x + 23*x**2 + 212*x.\nAnswer: 23*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 2:49 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 232878?\nAnswer: 2\/116439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -5*k - 112. Let f(t) = t - 2. Determine 3*f(c) + g(c).\nAnswer: -2*c - 118","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70866453.\nAnswer: 3, 7, 439, 7687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b - 1. Let r(p) = 14*p - 5. Let k(x) = -5*g(x) + r(x). Let h(z) = -8*z - 3. Suppose 4*c = 0, 0*c = m - 3*c - 4. Give m*k(o) - h(o).\nAnswer: 4*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216 and 3420810?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 10:38 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 101140 + -11811. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*l - 756*l - 1536 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 8 - 11*o**2 + 2.\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04312 take away -4?\nAnswer: 3.95688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 753931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z. Let w(g) = 2385096*g + 75. What is w(k(s))?\nAnswer: -7155288*s + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-324)\/(-42) - 0 - 8. Which is the second biggest value? (a) -14 (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*k = -280. Is k a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 5\/2, -10, 49, 20?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 10*a - 73. Let n be o(8). Solve 43 = -n*h + 8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 13 - 28 + 12 - 609*a.\nAnswer: -609*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - 0.2. Let j = 0.1 + u. Let t = -0.3 + j. Is t > 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -1\/3829?\nAnswer: -1\/3829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of 3*h**6 - 27*h**5\/20 + 27*h**4\/8 + 27*h**3\/2 + 97*h**2. Let j(b) = -9*b**3 + 2*b**2 - 2*b - 2. Calculate -81*j(o) - 2*w(o).\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 458 + 703. Suppose -s - 348 = -3*n. What are the prime factors of n?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6205\/292*((-24)\/(-36))\/((-10)\/6)\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1099 + 36*c**2 - 1099)*(6*c + 0*c - 2*c + 1) as h + p*c**3 + a*c**2 + v*c and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10340 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2100)\/(-400)*(-4)\/(-9) + (-86)\/6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8175310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 762070?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by -43?\nAnswer: -23\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.726347 millennia to centuries.\nAnswer: 17.26347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31 and -0.065.\nAnswer: -2.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 370 + 393 - 219 - n**2.\nAnswer: -n**2 + 544","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7064603 years in millennia?\nAnswer: 0.0007064603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5*sqrt(27).\nAnswer: 5 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) 2\/15 (c) 0.3 (d) 0 (e) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*h = -451, -2*f + h = -2*h - 902. Suppose -5*m + 4*w = -433, 0*m + 2*w = -5*m + f. What are the prime factors of m?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2035\/3256)\/(1\/8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 835, 3416, 7719, 13744, 21491, 30960, 42151?\nAnswer: 55064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -101 - 46676?\nAnswer: -46777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of p**6\/3 - 16*p**5\/25 + p**4\/10 + 4*p**3\/15 + 4. Find u such that b(u) = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 1. Let r(s) = 3 + 2*s - 3*s - 4 + 0. Calculate -2*j(b) - 2*r(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of g**4\/12 + g**2. Let c be (-2)\/(-1*(1 - 0)). Let l(u) = -8*u**2 + 9*u**2 - c*u**2. Give w(l(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -25*k + 0 + 7\/6*k**4 + 0*k**2 + 4\/3*k**3. Find the second derivative of i(p) wrt p.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 15 + 0 = 0. Let y be 14\/(-4)*40\/(-70). Suppose -40 = z - y*z. Calculate the greatest common factor of z and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 - 2*t**3 - t**3 + 105*t**2 - 105*t**2.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 193*y**2 + 20*y + 78. Let a(v) = 64*v**2 + 7*v + 26. Let t(o) = -11*a(o) + 4*k(o). What is the second derivative of t(s) wrt s?\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -4. Let j(h) = 1 + 0 + h**2 + 1 - h. Calculate the lowest common multiple of 4 and j(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*v**2 + 2 - 17*v**2 - 102*v**2 + 5*v**2 - 354*v**2 to u*v**2 + f*v + j and give u.\nAnswer: -489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125785?\nAnswer: 5, 11, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + ((-1)\/(-4) - 124\/(-16))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4805115 divided by -3\nAnswer: 1601705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (2 - (-4 - (-2 + -2))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4 - 4*h**3\/3 - 8*h**2\/3 + 4*h\/3 + 2\/3 = 0. What is h?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaasaaaaaaa. What is prob of sequence aaa?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*v + 169 - 889 = -0*i - 7*i + 3*i, -20 = 4*i + 2*v for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**5 - 180*i**3 + 343*i?\nAnswer: -20*i**3 - 1080*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 7 + 16)*((-1 + 5 - 3)*(2 - 2 - 2*s) - 3*s + 3*s + s).\nAnswer: -39*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 0.02 (c) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 6. Let s = -28 + 93. Suppose -6*d = 5 - s. Calculate the lowest common multiple of d and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5 = -u, -7*r + 35 = -5*u - 2*r. Which is greater: u or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/45, 2\/3, 1\/4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -7*l**2 + 0 + 0*l**3 + 0*l + 0*l**4 + 1\/20*l**5. Let o(r) = -5*r**2. Determine o(u(a)).\nAnswer: -45*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 40 + 1706*u**2 - 1 + 22.\nAnswer: 1706*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 33 - (-3 - 14 - 0 - -21)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2145)\/495 - 4256\/(-1248)\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3940 + -653. What are the prime factors of m?\nAnswer: 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1825\/(-365)*(-264)\/(-165)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 562579.\nAnswer: 562579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + -39 + (3 + 2 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, s: 6, o: 1, i: 1, x: 9}. What is prob of picking 1 i, 2 y, and 1 s?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 - 1)*(473*v - 668*v - 737*v) - v + 4 - 4)*(3 - 5 + 3).\nAnswer: 1863*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4241935*z**4 - 2*z**3 - 23*z**2 + 534006414.\nAnswer: 16967740*z**3 - 6*z**2 - 46*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 2:50 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -39568\/5 = -7915?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-32)\/72)\/(-2))\/2. Do y and 5\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -276*k + 280*k. Let t = -22 + 24. What is the tens digit of k + t + 12 + 70?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzlllllllklllkzkzl. Give prob of sequence lzk.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*q = 4, f + 2*q = -5. Solve f*i - 7*i = -16, -5*n - i = -9 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.6 + 35.6. Let m = g + -26. Let q = -5 - -9. Which is the second smallest value? (a) m (b) q (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32323221320 - 33?\nAnswer: 32323221221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7642 - -549. List the prime factors of l.\nAnswer: 8191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**3 + 27*t + 13. Let o be w(3). Put 3, o, -2 in descending order.\nAnswer: o, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3299a (base 11) to base 7.\nAnswer: 256211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1092 and 504.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 1. Give z(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 2:00 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13145708?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6883.\nAnswer: 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/39*(68 + -40 + 50).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 6*m**2 + 5*m - 10. What are the prime factors of l(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12227 or -31178?\nAnswer: -12227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-160)\/(-48)*(-12)\/(-50).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -10 - 98. Suppose -5*x + r = 2*m, 39 = m - x - 4*x. What are the prime factors of 1 + m - (-5 + 4)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 178 and 16643?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -5*p + 10. Calculate v(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24882098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60831.\nAnswer: 3, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**2 + 4*q**2 + 17*q**2.\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -72 + 72.06. What is the nearest to b in 0.4, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 + -29. Find the first derivative of 201*v - 427*v + 180*v + p - 42 wrt v.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**2\/5 - 738*b\/5 - 18468\/5 = 0?\nAnswer: -342, -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12492548 or 74955283\/6?\nAnswer: 12492548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22644805 a multiple of 657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 + 30 + -73 - 21 - (1 + -31)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -s**6\/5 + s**3\/2 - 7*s. What is the second derivative of c(u) wrt u?\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - z + 2135, 0 = -4*i + 2*z - z + 2835. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 + 11*d - 5. Let n(b) = 4*b**2 - 6*b + 8. Let x(h) = h**2 + 1. Let g(v) = n(v) - 5*x(v). Let m(a) = -7*g(a) - 4*j(a). Calculate m(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2 + g - 6. Let o(b) = b**2 + 1. Let l(c) = -2*c + 14. Let f(u) = l(u) - 3*o(u). Determine -6*f(i) - 11*w(i).\nAnswer: -4*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*h - 65*h - 59*h - 58*h + 249*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 - 5001*b**2 - 35208*b + 90396.\nAnswer: 3*(b - 1674)*(b - 2)*(b + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -114 divided by -3\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -8*z**2 - 193*z + 1. Give v(-24).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/455 and ((-133)\/52 + -2)*82\/(-369).\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/7 and (-686)\/(-13302) + (-11 - (-1568)\/144).\nAnswer: 5173","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or -422.001?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (-995)\/(-4 + 9). What are the prime factors of (q\/(-5))\/(-5)*31\/(-2)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 12:14 PM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13530 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 + -49 + (-27 + 44 - 3)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -767.9 + -645\nAnswer: -1412.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 78*h**5 - 18*h**5 + 25*h**5 + (-3 + 3 - 2*h**2)*(-h**3 - 2 + 2) + (-2*h**2 - 6*h**2 + 2*h**2)*(h**3 + h**2 + 3 - 1 + 0*h**2).\nAnswer: 81*h**5 - 6*h**4 - 12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/27*18162\/9081?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 + 676 - 2429*j**3 + 667 + j + 669 - 2012 as t*j + b + g*j**3 + y*j**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 - -48.02. Let h = s - 25.02. Let i = -30 - h. What is the smallest value in i, 5, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*d + 183 = -102*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**2 - 32*k + 0*k**2 + 3*k**2 + 178*k.\nAnswer: -k**2 + 146*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 10:34 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 311190, 622391, 933592, 1244793, 1555994, 1867195?\nAnswer: 2178396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*a + 201 - 593 - 219.\nAnswer: -50*a - 611","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 1297\/666 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -2*k + 16, 0 = 4*k + 5*r - 6 - 26. Suppose 2*o - k = -2*o. Factor 7*l - l**2 + l**o - 5*l - 2*l**3.\nAnswer: -2*l*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 10 + 0)*(18087*q**3 - 18087*q**3 - 135*q**4).\nAnswer: -2430*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*n = -5*n + 186 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -10, -4, -2 in decreasing order.\nAnswer: 5, -2, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q**4 - 59*q**3 - 215*q**2 + 86*q + 15. Let s(b) = b**4 + b**3 - b**2 + 2*b - 3. Let z(g) = 2*d(g) + 10*s(g). Factor z(l).\nAnswer: 4*l*(l - 8)*(l + 3)*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5796585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 7*y + 250. Determine z(-35).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 102407 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/4 - 81*y**2\/4 - 486*y - 2916.\nAnswer: -(y + 9)*(y + 36)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 756.269 - 757. What is f rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 712 smaller than 711?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -63 (b) 2\/7 (c) 10 (d) -2 (e) -258\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3814, -7591, -11380, -15187, -19018, -22879?\nAnswer: -26776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i - 1. Let w(g) = -8*g - 32 + 17 + 12. Let z(v) = 11*j(v) - 4*w(v). Let q(a) = -4*a + 4. What is -q(b) + 5*z(b)?\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*r - 5*y + 25 = -39*r, 0 = 4*r - y + 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 2)*(h**4 + h + 0*h - 5*h**4).\nAnswer: 8*h**4 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 6*m**5\/7 + 204*m**4\/7 - 21102*m**3\/7 + 19596*m**2\/7 + 125136*m\/7 = 0.\nAnswer: -79, -2, 0, 3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 7*g + 18453 - 3*g**2 - 18444 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from aiaiiiiiiiiiiaiiiiia?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/3)\/w)**(-9\/5)*w**(3\/2)*w**(-1\/3)\/w assuming w is positive.\nAnswer: w**(23\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f + 5*l + 6, -4*f + 5*l = 68 - 86 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m = 1170 - 1082. Let g = -11 - -11.7. Let i = -0.2 + g. What is the third smallest value in -11, i, m, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -4. Let x = f - -3.9. Let r = -2 - -3. Is x less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 190*a - 4. Let x(d) = 7464*d. What is x(g(u))?\nAnswer: 1418160*u - 29856","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 190 by 38.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*2*-3)\/(sqrt(968) + (sqrt(968) - sqrt(968)*1)) + -5 + (0 + -2*sqrt(68) - sqrt(68))**2.\nAnswer: -6*sqrt(17)\/11 + 607","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 5. Let s be b\/18 - 34\/(-9). Suppose 3*j - 3 = -0. Solve 5*y = j + s for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (0 + -34 + 12) - (27 + -1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -11*h. Suppose -2*o + 21 = 13. Let s(b) be the first derivative of -4 - b**2 + o*b - 4*b + 5. What is s(u(i))?\nAnswer: 22*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g + 1. Let d be x(10). Suppose -4*v = -1 - d. Suppose v*n - 5*n - 6 = 0. Sort n, 0, 3.\nAnswer: n, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 125*i - 27 = 452, -v + 0 = -0*v + 2*i + 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 94?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 7*x + 10. Let k be n(-6). Let w be (-2)\/1 - (-1 + (-16)\/k). Solve 0 = p - 0 - w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -537*k. Let f(w) = -74808*w**2 + 5*w. Determine f(l(a)).\nAnswer: -21572308152*a**2 - 2685*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22116 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33806 + 2434117\/72. Let k = -1915624\/81 - -23650. Calculate the common denominator of t and k.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67462266.59 rounded to the nearest 100000?\nAnswer: 67500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 + -6)\/((-7)\/31577) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150347389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 157111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -590611*i - 516 = -590568*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65 - -65. Suppose 6*x - x + 2*o - 414 = j, -5*o = 4*x - 338. List the prime factors of x.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51211246169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-5*sqrt(110)\/sqrt(2))\/(sqrt(30)\/(sqrt(6)*2)) + (4*(sqrt(121) + (sqrt(121)*-1 + sqrt(121) - sqrt(121))))\/(sqrt(99)\/sqrt(81))).\nAnswer: -60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(320)\/(-3*sqrt(10) - sqrt(10)) + 0)**2 + ((-4*sqrt(2)*1 - sqrt(2)) + -5)**2 + sqrt(18)\/(sqrt(9) + sqrt(1089)*2 + sqrt(1089)).\nAnswer: 1701*sqrt(2)\/34 + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -152*k**2 + 27*k - 74. Let u(y) = 151*y**2 - 22*y + 66. Let j(w) = -5*f(w) - 6*u(w). What is the second derivative of j(z) wrt z?\nAnswer: -292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)\/b)**(-16)*(b\/(b*b\/(b\/(b*b**(1\/3)))))\/(b\/b**7*b*b) assuming b is positive.\nAnswer: b**(104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -101011001111110010001 (base 2) to base 5\nAnswer: -330321410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + (5*(sqrt(190) + sqrt(190)*3) - sqrt(190)))\/sqrt(10))**2*5*2.\nAnswer: 76000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g - 7*g - 3*g)*(3*g - 2*g - 2*g)*(0 - 2 + 1 + (-1 + 2 + 1)*(3 - 3 + 2) - 5 + 4 + 0) as k + w*g**2 + t*g and give w.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 331*n + 606*n - 1154*n to a*n + m and give a.\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 8*w + 440 = 0. Is 29 a factor of (0 - 0) + w + 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1423*(9 - (-220)\/(-4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 13*d = 210. Let u = 19 - d. Is u a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 10*a**2 + 11*a - 5. Let o be m(-17). Suppose -17*v - o = -10382. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154501 is divided by 40.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12713 + 17131. What is the greatest common factor of 376 and w?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12888 and 2685?\nAnswer: 64440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5443444?\nAnswer: 2, 1360861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o + 12*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = j + 4, 70*k - 10 = j + 74*k. Let p(i) = -16*i**3 + 3*i**2. Let s(b) = -17*b**3 + 2*b**2. Give j*p(h) - 3*s(h).\nAnswer: 19*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/2079 and -67\/1155.\nAnswer: 10395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -312?\nAnswer: -30c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39809305 is divided by 99.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/160)\/(9\/6). Let g = m + -5\/12. What is the nearest to 0 in g, 2\/7, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 2:53 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54724\/15 + -536384\/147. Let i = -14099\/15190 + w. Let j = i + 1\/31. Sort -5, -1, j in decreasing order.\nAnswer: -1, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-56)*(80864\/(-456))\/(-133)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.06, 0.125 in increasing order.\nAnswer: -0.06, 0.125, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -2) + (0 - (1 - -13)) + -16 + 21.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 270 - 256. Suppose -12 = 2*v + 4*r, -5*v + 2*r - r + t = 0. Solve 2\/3*o**3 + 1\/3*o + 0 + 5\/6*o**v + 1\/6*o**4 = 0 for o.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 2*g - g**2 + 3*g**2 + 2*g as d*g + u*g**2 + b and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1063 * 0.4\nAnswer: -425.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28342 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 848928071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/3*12\/88. Let d be (-2)\/(-1) - 12\/5. Which is the nearest to d? (a) n (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 281409*f**6 - 192*f**2 + 5*f - 50 wrt f?\nAnswer: 33769080*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396 - 42 = 3*u. Suppose u + 22 = 7*k. Calculate the least common multiple of 44 and k.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185\/(-60) - -3 - 1\/(-3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 139 + -135. Let z(j) = -j**2 - 4*j + 7. Let o be z(-5). Solve -o*l - 4*l**2 + 1 + 7*l - l + 3 - f*l**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6258.116 and 0.0392?\nAnswer: 6258.0768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*j**2 - 59*j**2 + 18*j**4 + (-j + j + j**2)*(2*j**2 - j**2 - 3*j**2) in the form u*j**3 + f*j**2 + r + q*j + d*j**4 and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3153?\nAnswer: 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.714284 millilitres?\nAnswer: 0.003714284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 d when three letters picked without replacement from {o: 2, e: 4, h: 6, d: 1, j: 2, z: 2}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(38)\/sqrt(72).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 122 + 44033403?\nAnswer: 44033525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 3. Let u be g(6). What are the prime factors of 5148\/54 + ((-2)\/u)\/1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r - 9. Let p be y(5). Let g be (376\/(-12) - -8)\/((-8)\/6). Let h = 179\/10 - g. What is the closest to h in 5, 0.1, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -1. Let u = -123 - -618\/5. Which is the third smallest value? (a) u (b) s (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + ((-10)\/3 - 36\/54). What is the nearest to j in -58, 0, -3, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - p = 2*y + 5, y = 3*p + 10. Which is the closest to -3? (a) -0.1 (b) 0.1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*l + 160 = -x, 0 = x + 5*l - 63. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*8\/60 - (-2)\/(-3). Let j = -42 - -46.8. Let a = -5 + j. Sort 0.2, a, f in descending order.\nAnswer: 0.2, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/482682 and -173\/5430.\nAnswer: 436827210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1579 - -3165\/2. Let k(t) be the second derivative of 0 - 7*t + 1\/6*t**3 - u*t**2. What is k(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4*(1842 - -46) a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-3)*h*h*h\/h**(-1\/10)*h*h*h*h)\/(h\/(h\/h**(-4\/3))*h*h\/(h*h**(-1\/3)*h)*h) assuming h is positive.\nAnswer: h**(111\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*r - 3*r - 2*r)*(20 - 20 - 2*r) + r**2 + r - r)*(2 - 3*r - 2) as o*r**3 + d*r + n*r**2 + z and give o.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of t**5\/60 + t**4\/3 + t**3 - 2*t**2 - 114*t. Suppose -8*y = -11*y - 18. Determine v(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020831804 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24 + -2)\/(2 - (6 - 3)). Let l = i + 23. Let t = l - 45. Solve 6*n = t*n + 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -301 - -304.525. Let y = -3.6 + x. Round y to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 651\/571 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 1 + 4*q + 3 - 4. Let k be h(4). Let j(o) = o**2 - o - 10. What is j(k)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -22*p + 199. Let a(q) = q**2 - 9*q + 17. Let h be a(8). Let z be y(h). Solve 3*b + 0*b = -2*i + z, -b = -3*i - 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 889893 and 2403.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1364 divide 300808376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 402*w - 2828. Calculate j(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.74 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -565*i - 3816. Give g(-6).\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d + 17*d**2 - 2*d + 1 + 10*d**4 + 2*d**3 - 26*d**2 - 9*d**4 - 16*d**2 to t*d**3 + w*d + b + r*d**4 + y*d**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 11:33 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83 + -751\/9. Let m = -1.5 - -1.7. Let z be 1*((-3)\/(-15))\/(-1). Which is the second smallest value? (a) m (b) z (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5847105 and 165.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 1589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-166)\/249)\/((-14)\/84)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80756 to the power of 1\/2, to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-165)\/(-12))\/11 - (-2)\/(-8). What is the second derivative of 2*u - t + 2 + 16*u**2 - 2*u**3 + 7 - u wrt u?\nAnswer: -12*u + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -161380, -161106, -160832, -160558?\nAnswer: -160284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30\/(-21) + (0 - -1). Let c(a) = a - 5. Let d be c(9). What is the biggest value in 0.5, d, h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.84 + -0.5?\nAnswer: 8.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sssx when four letters picked without replacement from xcxccsc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*i + 212*i - 5754 = 100*i for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -20?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 62782248 to the power of 1\/2, to the nearest integer?\nAnswer: 7924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1 + (sqrt(396)*2)**2*-1*-3 + 1.\nAnswer: 4754","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 179*m - 8. Let b(t) = -t. Suppose 3*a = -a - 24. Let w(q) = a*b(q) - x(q). Let z be w(6). Round z to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d*w**3 - d*w**2 - 53*d*w - 1260485*d + 19136*w**3 - 2*w**2 - 4*w - 174 wrt d.\nAnswer: w**3 - w**2 - 53*w - 1260485","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2606, 10388, 23364, 41540, 64922, 93516?\nAnswer: 127328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37543?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -213\/2, 1, 4, -2 in descending order.\nAnswer: 4, 1, -2, -213\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a week in minutes?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 3*t + 9. Suppose -2*u + 43 - 15 = -2*q, -2*u + 4*q = -38. Let z = u - 4. Calculate the remainder when h(0) is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 156.62 to 0 decimal places.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h**2 + 4*h + 17. Let a(b) = -13*b**2 + 12*b + 54. Calculate -2*a(x) + 7*u(x).\nAnswer: -2*x**2 + 4*x + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/36*3 - (-128)\/48. Solve -f*p - p - 8*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.30912 * -14.6.\nAnswer: 4.513152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 5*l**2 - 2*l - 7. Suppose z + 4*d + 1 = 4, d + 18 = -4*z. Let f be c(z). Let p = -3 - -3.2. What is the nearest to p in -1\/5, f, -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 60, 35, 14, -3, -16, -25?\n\"Answer: 2*h**2 - 31*h + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17223 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 7*z**2 + 6*z + 12. Calculate q(-8).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-21)\/14 + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154553 is divided by 3680.\nAnswer: 3673","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and -1002007?\nAnswer: 1002008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 66575 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(110)\/(sqrt(30)\/sqrt(3)).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -0*c - 10. Let v(g) = 3*g + 5*g**2 - c + 4*g**2 - 3*g**2 - g**3 - 3*g**2. What is v(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 6*w**2 + 5*w + 2. Let j be m(5). Suppose -j*i + i = -17. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hx when two letters picked without replacement from {x: 1, l: 1, h: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-110)\/70 - -2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -112937120 divided by 166084\nAnswer: -680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 7*y - 16. Let q be m(6). Let o = 46 + q. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1165 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**5\/((s*(s*s*s*s*s**5)\/s*s*s*s)\/s)*(s*s*s\/(s*s**4\/s*s*s))\/(((s**6\/s)\/s)\/s) assuming s is positive.\nAnswer: s**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1461 (base 16) to base 11.\nAnswer: 3a13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + -8 + (-40 - -41)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.1 - -6.3. Which is the closest to 11? (a) 5\/2 (b) l (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 136, 297, 510, 769, 1068?\nAnswer: 1401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*g + 9. Let d(t) = 3*t - 9 - 6 + t - 5*t. Let q be d(-11). Is q bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -583 - -566 - (-1 - -1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n - 2. Let q be m(2). Suppose 4*p - 6*p + 12 = q. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 21*t - 27*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1997403446 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**3*z**2 - 113*g**3*z + 2*g**2 - 2*g*z**2 wrt g.\nAnswer: 12*z**2 - 678*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 + 2*z**2 + 6. Calculate k(-3).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 567*l + 135*l + 1683*l - 90*l. Let p(d) = 3*d. Give z(p(t)).\nAnswer: 6885*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i - 8. Let a be v(-4). Let y = -51.683 + -0.817. Let r = y - -50.5. What is the nearest to r in -5, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + x + 1. Let g be w(-2). Suppose 4*u = g*u. Which is smaller: 2\/9 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4246664145.\nAnswer: 3, 5, 61, 257, 18059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -5 (c) 7.505 (d) 15 (e) 14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -110, -394, -678, -962?\n\"Answer: -284*l + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 604, 2395, 5458, 9793, 15400?\n\"Answer: 636*g**2 - 117*g + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*r - 311727 + 547754 = -360242. Which is smaller: 20562 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 9*r**2 + 7*r + 13. Is 22 a factor of i(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/21)*(j*j**(-3)\/j)\/j)\/(j\/j**(-1))**(4\/3)*j*j*j\/(j*j*j**0)*j*j*j**3*j**(-3\/5)\/((j\/(j\/(j**(-5)*j)))\/j) assuming j is positive.\nAnswer: j**(382\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*h**2 - 3*h**2 - 2 + h**2 wrt h?\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2 = -3*j. Let w = -34 + 29.7. Let p = 0.3 + w. Sort 0.3, j, p.\nAnswer: p, j, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/16)\/((-1)\/(-10)). Let f be 17\/p + (-20)\/50. Factor -3*k**2 + 2*k**2 - f*k + 0*k + k.\nAnswer: -k*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-10)*(3 - 8))\/(3\/(-19))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*k - 4 - 5, -2*k - 45 = -5*x. Solve -x*v + 3 = -33 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-16)*-116)\/(10\/(88340\/7)). What is the greatest common factor of o and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -30. Let m = j + -9. Is 0 + 0 + m + 51 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 40 = -5*r, -5*r + 2*q + 28 = -0*q. Suppose -6*k + 2 = -r*k. Let p be (-80)\/(-35) - (k - -1). Which is the nearest to 0.1? (a) p (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - l - 6. Suppose 5*b - 111 = -36. Suppose -7*x = -4*x - b. Let n(j) = j**2 + j + 7. Let w = -6 - -10. What is w*n(o) + x*q(o)?\nAnswer: -o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.6931 or -2\/7751?\nAnswer: -2\/7751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 791756775 != 791756775?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 7 = -4*b, 6*l = 11*l + 4*b + 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2\/11, 3, 1 in descending order.\nAnswer: 3, 1, 0.2, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 - 32\/3 - 1\/6*n**3 - 8*n.\nAnswer: -(n + 4)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -219688633 and 5983.\nAnswer: -219682650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, k: 7}. Give prob of sequence knkn.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 1\/3675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -2*j + 6. Find the second derivative of 0*f**3 - 3*f**3 + 5*f + 5*f**j wrt f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/7 (b) 3.066 (c) 2.97 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 7, l: 4}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7 + 12*o**2 - 13 + 20 - 11*o wrt o.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**2 + 7*f + 25. Determine z(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -470*n**2*r*v**3 + 3*n**2*r*v**2 + 5065*n**2*r - 3*n**2*v + 2*n*r*v + 127324*r*v**3 + 20*r*v + 2*r wrt v?\nAnswer: -2820*n**2*r + 763944*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 4, 2\/7, -2, 0.26, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 519 + -511. Which is smaller: -1\/4 or j?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 6*u**2 + 6*u + 2. What is the remainder when q(-4) is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -349 divided by -776658?\nAnswer: 349\/776658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 2*z - 20. Let o = -13 - z. Calculate the remainder when 30 is divided by 4\/o*(5 + -11).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 850*k**2 + 256*k + 5. Is c(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 54*y**3 - 93*y**3 + y**2 - y**2 as s + j*y + o*y**2 + r*y**3 and give r.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 156162 and 1077.\nAnswer: 56062158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 115*c**2*p**2 + 17*c**2 - 1277*p**2 + 3*p wrt c?\nAnswer: 230*c*p**2 + 34*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j - 111. Let v be r(0). Let l = v + 162. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 5*d + 25 = 6, 0 = 2*d - 2 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.2 (b) 0.4 (c) -1\/3 (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -50285*h - 2. Let j(n) = -16*n. Give x(j(k)).\nAnswer: 804560*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -3. Suppose 3*t - d*w = -5*w + 845, 2*t + 2*w = 560. Suppose 2*j - t = -53. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 26095 (c) 575\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 89 and 103507.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**3 + 4*c**3 - 4*c**3)*(9 - 161 - 271)*(-1 - 2 + 2).\nAnswer: -846*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 7*k**2 + k - 7. Let m be j(7). Let p(y) = y + 0 - 34*y**3 + m. Does 11 divide p(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -265174, -530183, -795192, -1060201, -1325210?\nAnswer: -1590219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4277871 - 12191932579\/2850. Let c be (-16)\/150 - (0 - 0). Let m = c - r. Is 0 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 11*q**2 - 11*q + 7. Determine k(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*f = -892, 0*v - 5*v - 5*f - 1070 = 0. What are the prime factors of v\/(-14) + (-21)\/(-49)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -168 - 7*q**4 + 170 + 2*q - 2*q wrt q?\nAnswer: -28*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 329342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26 - 22 - 535\/112 and 25\/22.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 34*c + 4. Let n(h) = 2*h - 1. What is 2*n(j) - s(j)?\nAnswer: -30*j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/3)\/(24\/(-12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 + v + 1. Let m(d) = 2*d**2 + 38*d - 45. Let o be m(-22). Let f = 88 - o. Let k be 1 + (-3 - (-4)\/f)*1. What is g(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30600, -61556, -92512, -123468?\nAnswer: -154424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 15*s**2 + s + 7640. What is the thousands digit of c(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 times -20828?\nAnswer: -437388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/40 and 89\/3590?\nAnswer: 14360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3 + 3 + (-4 + 3 + 3)*(-2 - 2 + 1))*(2*j - 14*j + 0*j).\nAnswer: 132*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6306, 5948, 5590?\nAnswer: 5232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1244 - 61251 = -5*z. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 22\/3*l**3 + 1\/5*l**5 + 7\/3*l**4 - 16*l + 0 + 10*l**2. Determine m, given that d(m) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j - 28. Suppose 5 + 10 = z + 2*u, 0 = 2*z - 2*u - 24. Let x be i(z). What is the highest common divisor of x and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 127 (base 9) to base 12\nAnswer: 8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 + 1)\/(90\/(-5625)). Suppose g = 8*y - 1929. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1795 - -1970. Calculate the remainder when v is divided by 77.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -21. Let t = -4.07 - -4.37. Let s = 0.01 - 0.41. Put t, 0.4, r, s in ascending order.\nAnswer: r, s, t, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**4\/9 - 6497*g**3\/9 + 751930*g**2 - 214937292*g - 215689944 = 0.\nAnswer: -1, 606, 5286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 117920 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m. Let r be g(-2). Suppose -4*v + r = -0. Factor -1 - 11 + 4*k + 15*k**v + 20*k.\nAnswer: 3*(k + 2)*(5*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**2 - 2*z**3 - 2*z**3 + 4*z**2.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-3) + (-40375)\/(-57). Suppose -5*t + 777 = -r. What are the prime factors of t?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*s**3 + 25408*s**2 + 8074660*s + 3225800 = 0. Calculate s.\nAnswer: -635, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 187*t + 5789. Calculate the remainder when 13648 is divided by m(-39).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4204 = -39*f + 3401. Let s be -87*3\/(9*-1). Find the second derivative of s*m**2 + 19*m + 195 - f wrt m.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a. Suppose 6 + 10 = 2*g. Let q(c) = g + 2 - 10 - 11*c. What is i(q(z))?\nAnswer: 33*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1106 (base 7) in base 10?\nAnswer: -398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 10*d - 9. List the prime factors of k(13).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 6990?\nAnswer: 41940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**3 - 10*b + 10*b)*((-1 - 2 + 1)*(-b**2 - 2*b**2 + b**2) - 4*b**2 - 5*b**2 + 3*b**2).\nAnswer: 10*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**5\/9 - 116654*i**4\/9 - 1166338*i**3\/9 + 116654*i**2\/9 + 388780*i\/3 = 0. What is i?\nAnswer: -58317, -10, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 divided by 50704.\nAnswer: -85\/50704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 - 3*p**3 - p**3)*(-2719 - 2356 + 4107)*(3 - 4 - 1).\nAnswer: -1936*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - p**2 - 2*p + 2. Let b be o(2). Suppose 67 + 70 = -3*c + 2*r, -4*c = -b*r + 184. Let d = 112 - c. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 8:50 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*h**5 + 0*h + 0*h**4 + 0 + 0*h**2 - 1\/3*h**3.\nAnswer: h**3*(h - 1)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**4 + 6774497*b**3 + 7174*b**2 + 9.\nAnswer: -48*b + 40646982","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + p + 14, 29*y - 30*y = -3*p + 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -95090, -189478, -283866, -378254?\n\"Answer: -94388*l - 702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u. Suppose 2*l = -2*l + 20. Determine k(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 120113.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.605438 nanograms to grams.\nAnswer: 0.000000005605438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.9 - 3. Let m = 0.42 - -34.58. Let i = 39 - m. Which is the closest to -1? (a) d (b) 0.4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 74 - 73. Suppose 4*t = 289 - b. Let j be (-7 + 1)\/1*(-48)\/t. Solve 0*h = -j*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1828326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-34)*(-244 - -261). Solve 5*w - 10 = -4*u, -4*w + v*w - 3*u - 21 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 1575 = 4*c - 1602, 3*c - 24 = 3*v for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -53\/291211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 5*j - 15. Determine a(-5).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20780583*k**2 + 20780530*k**2 - k + k.\nAnswer: -53*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 136, 659, 1502, 2647, 4076?\n\"Answer: -3*x**3 + 178*x**2 + 10*x - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*q - 78, 5*q + 47 = 8*q - 5*y. Calculate the remainder when 36 is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 649 and 189860.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k + 33 = 21*k - 12*a - 0*a, -a = 8*k - 73 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**3 + 8*o**3 - 13*o**3 + 6*o**3.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10112010 (base 3) in base 16?\nAnswer: -a08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68 + -41. Let r(t) = 2*t - 5. Let s be r(4). Suppose -72 = -4*u - 2*o, -s*u + 44 = -0*o - o. Calculate the remainder when a is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -4, -0.111, 24.37, -2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(450) - sqrt(450)*-1)*5)\/(sqrt(10) - sqrt(70)\/(sqrt(28) + sqrt(7))))**2*6.\nAnswer: 60750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*a**2 + 1\/8*a - 1\/8*a**3 + 0.\nAnswer: -a*(a - 1)*(a + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -496 - 11*a + 268 + 275 to x + j*a and give x.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**4\/5 - 46106*p**3 + 230536*p**2\/5 + 1152658*p\/5 + 691593\/5 = 0. What is p?\nAnswer: -230531, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -1 (c) 5\/319\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x\/(x\/(x*(x\/(x**(-4\/7)\/x))\/x)))*x*x)**(-37)\/(x\/(x**(2\/7)\/x))**(3\/5) assuming x is positive.\nAnswer: x**(-1886\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 3. Let a be g(-6). Let j be ((-6)\/8)\/(a\/(-12)). Let z be ((-4)\/j)\/((-2)\/15). Calculate the highest common divisor of z and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 706836 is divided by 4533?\nAnswer: 4221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(720) - (0 + (sqrt(20) - sqrt(5)) + sqrt(5))**2 - (sqrt(55)\/(sqrt(55)\/sqrt(5)) + 5).\nAnswer: -26 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4325 divided by 92\nAnswer: 4325\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) -5\/3 (c) 7\/5 (d) 948 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -0.5, -1, 517?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 - -1.8. Let w = 119.1 + -114. Let j = w - 5. What is the closest to a in -3\/7, 0.3, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 684677 = 179*t - 130*t. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8421 by -21.\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) -4 (c) 285 (d) 94\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -1. Let x = 182\/657 + -4\/73. Which is the third biggest value? (a) p (b) 0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = u + 3, u = 3*n - 0*n + 1. Let g = 0.4 - 0.4. Let h = -0.2 + g. What is the second biggest value in u, 0, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 563, 749, 935, 1121?\nAnswer: 1307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*z**2 + 4*z + 0 - 5*z - 1 + 2 + 2*z**3 to the form n + m*z + t*z**3 + d*z**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.06 or 10066459?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14006280.\nAnswer: 2, 3, 5, 116719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 2) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -323, -646, -969, -1292?\nAnswer: -1615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*u + 12 = -3*u, -2*d + 3*u = -15. Suppose -1767 = -3*n - 0*n - 3*t, d*n - 1771 = -5*t. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 a when three letters picked without replacement from {a: 18, n: 2}?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -8*m + 30. Factor -4*q**5 + 4*q**4 + 4*q**3 - 8*q**m + 13*q**5.\nAnswer: q**3*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -195.3 + -1039.9.\nAnswer: -1235.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*h + 8 - 8.\nAnswer: 35*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 809*l**2 - 475 wrt l?\nAnswer: 1618*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 5*l - l)*(-3*l**2 - l**2 + 2*l**2) + 0 + 0 - 2*l**3 + (-2*l - l + 4*l)*(-2*l**2 + 0*l**2 + 4*l**2).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*q**3*s**4 + 40*q**3*s**2 + q**2*s**3 - 132*q*s**4 + 6*s**2 wrt s?\nAnswer: 144*q**3*s + 6*q**2 - 3168*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 137 - 77 + 2*a + 8*a**2 - 59. Let r(s) = -8*s**2 - 3*s - 1. Let d be ((-4)\/(-6))\/(6\/(-27)). Calculate d*z(m) - 2*r(m).\nAnswer: -8*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 17*k - 14. Let l be 4 + -1 + 9\/1. Let d be a(l). Suppose -2*b = 3*p - 248 + 25, -p + d = -5*b. Is p a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 26, 4, 5 in descending order.\nAnswer: 26, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t + 40. Determine s(-42).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6)\/((-71093)\/19389).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -294*a + 295*a + 4, 5*i = 5*a + 5. What is the nearest to 0 in -4, -3\/25, i?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d + 128. Suppose -4*c - 12 = -2*y, -c = -4*y + 1 + 9. Let g = 3 + y. Calculate the remainder when h(-30) is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-30))\/(592\/(-219040)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -475*l - 4. Let h(i) = -945*i - 9. What is 5*g(o) - 2*h(o)?\nAnswer: -485*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 78750000 rounded to the nearest one million?\nAnswer: 79000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -41*a - 382. Let p be g(-10). Solve p = -j + 8*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/8 + (-625)\/6*975\/(-3250).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65\/4 + 16. Let s(z) = -4*z - 16. Let k be s(-5). What is the biggest value in r, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 7:38 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*m**4 - 9921*m**3 + m**2 + 2759719 wrt m.\nAnswer: -16*m**3 - 29763*m**2 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5157703 and -5.\nAnswer: 25788515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33.7 + -32. Let z = 3.1 - j. Let r = -1.9 + z. What is the third smallest value in 2, 2\/5, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2181.536 to 0 decimal places.\nAnswer: -2182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - g**2)*(-3*g + g + 0*g)*(2*g**2 - g**2 - 6*g**2 + g - g - g**2 + (5*g - 3*g + 0*g)*(-3*g + 3*g - g) - g**2 - 10*g**2 + 5*g**2).\nAnswer: -28*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 17744*v**2 + 3*v + 3. What are the prime factors of a(-1)?\nAnswer: 2, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.011 (b) 0.4 (c) 4665 (d) -2\/21 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14487883409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 6. Let q be ((-28)\/10)\/(v\/(-30)). Let g be (-3)\/12 + q\/(-8). Solve -3*y - i = 0, -y = -5*i - g - 11 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 164*g**2 - 266*g + 16681. Give s(165).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((((-2)\/3)\/1)\/((-1)\/6))\/(467\/467).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34.025 - -0.025. Let z = -25764 + 51529\/2. Put z, h, -3 in decreasing order.\nAnswer: z, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -p + 5*m - 17, 5*p - 2*m + 3 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/96)\/(546\/(-52) - -10)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -431, -1697, -3807, -6761, -10559, -15201, -20687?\n\"Answer: -422*c**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (42\/8)\/(6\/(-16)). Sort -3, 4, 2, s in decreasing order.\nAnswer: 4, 2, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 535007*m**2 + 27*m - 4. Let b be x(-4). Round b to the nearest one hundred thousand.\nAnswer: 8600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3107*u - 13. Let g(p) = -1034*p - 5. Give 8*g(j) - 3*x(j).\nAnswer: 1049*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 148415882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17826499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -137a24 + -2?\nAnswer: -137a26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**2\/5 - 8735616*r\/5 - 9538873362432\/5 = 0.\nAnswer: -2183904","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 2\/7 (c) 0.5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 122 - 118 = -z, -u - 4*z = -6. Suppose -6 = -5*c - t - 0, -4*c + 24 = -4*t. Sort 3, c, 8, u.\nAnswer: u, c, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-24)\/(-14))\/(4\/70). Let f be 4\/14 + (-423)\/(-63). Let h = f + -1. What is the highest common factor of r and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 11.64737?\nAnswer: -7.64737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14460083*j**2*r**3 - 63*j**2 + j*r**3 - 740*j*r - 67*j + 2*r**3 - 2*r wrt r?\nAnswer: 86760498*j**2*r + 6*j*r + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 34*q**2 - 34*q**2 + 4 - 7*q**3 as p + y*q**2 + g*q + x*q**3 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 9:39 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81100396, -162200790, -243301184, -324401578, -405501972?\nAnswer: -486602366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 10466\nAnswer: -10461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-14 + -4)\/(-9))\/((-4)\/(-38)). Suppose -2*n + f = 9. Solve -7*v + 2 = -n*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 35*u**2 + 96*u + 7. Determine y(-32).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34542025.\nAnswer: 5, 7, 197383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7256.06 + 7322. What is n rounded to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 192 = -0*g. Is 16 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 6 = w, 0 = -5*l + 2*w - 48 + 50. Is l at least 5618?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25779853 or -25779854?\nAnswer: -25779854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 7 = -2*u + 3, -3*u + 21 = 3*x. Let q(n) = n**2 - 6*n + 4. Let s be q(x). Factor 0 - 2\/7*v**s + 0*v**2 + 0*v - 2\/7*v**5 + 0*v**3.\nAnswer: -2*v**4*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in nanometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 500 = 2*l, 11*l - 767 = 8*l + 4*c. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9128730 and 182.\nAnswer: 63901110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.4 (b) -1014\/599 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 less than 222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 1:21 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -183, -334, -519, -732?\nAnswer: -967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 12386.\nAnswer: -3\/12386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6732.827 centuries to months.\nAnswer: 8079392.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16908?\nAnswer: 2, 3, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/40)\/(66\/(-165))?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 69 = 3*w, -g - 2*w - 158 = -164 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 5*t - 1292. Let c = t - 353. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/44 - 38\/(-8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -6 + 9 + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (76\/(-342))\/(3\/891*-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -21.1 (c) -2\/3 (d) 0 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 3*c**2 - 5*c**2)*((c - 3*c**2 - c)*(-2*c - c + 4*c) + c - c - 2*c**3).\nAnswer: 5*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 10*u**2 - 2*u - 19. Let y be l(-8). Let h = -47 + y. Suppose h = 3*t + v + v, -3*t + 75 = 3*v. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 438068039?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -751543, -751522, -751501, -751480, -751459, -751438?\nAnswer: -751417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -413 by -95118.\nAnswer: 413\/95118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 - 54. Let d = z + 56. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 3. Let n(q) = -2*q**2 + 8*q + 20. Let t(x) = x**2 - 5*x - 13. Let g(m) = -5*n(m) - 8*t(m). What is 3*g(u) + 4*y(u)?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 3:20 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**4 + 123*i**2 + 248*i wrt i?\nAnswer: -12*i**2 + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 6. Calculate the lowest common multiple of x and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.41619 decades in years?\nAnswer: 74.1619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1008) - (-5 + 2*sqrt(1008)) - sqrt(1008) - sqrt(1008)))**2.\nAnswer: -5760*sqrt(7) + 145552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d**5 - 40*d**4 + 1296*d**3 + 8408*d**2 + 12788*d + 5712 = 0.\nAnswer: -21, -4, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 112\/275 - 2\/275. Let z = -0.2 - 0. Let a = -535.95 - -530.95. What is the nearest to n in 5, z, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -6 + 7 - (12 + -4) - (38 - 30)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10855 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -126*r**3 - 43*r**2 + 30*r - 46*r**2 + 86*r**2 wrt r.\nAnswer: -756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 47 = -4*a - 5*h, 0 = 5*h + 25. What is the remainder when 35 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1346*u*y**3 + 1280*u - 2*y**4 wrt y?\nAnswer: 4038*u*y**2 - 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76 - 76. Let n(q) = q + 4. Let w be n(6). Suppose j = 4*f - w - 46. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27082 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18486, -74001, -166528, -296067, -462618, -666181, -906756?\nAnswer: -1184343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5881 + -3810. Let p = -433 + h. List the prime factors of p.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45850897 is divided by 9170179.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/9)*y*y**(-2\/3))\/(y**(-1))**(-19))\/((y**(-2\/3)*y)**(-50)\/(((y\/(y**(2\/7)\/y*y*y*y))\/y)\/y**(-2\/7))) assuming y is positive.\nAnswer: y**(-38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 136892.4 and 2?\nAnswer: 273784.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 25206462.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -16979.39 greater than 0.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**7\/1260 - a**4\/6 + 13*a**3\/3 - 95*a**2 - 1. Let l(o) be the second derivative of g(o). Let y(w) = 212*w. What is y(l(n))?\nAnswer: 424*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -222*n + 1107. Give f(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**5\/20 + 3*g**4\/4 + 2*g**3\/3 + 15*g**2 + 17*g + 1. Let q be y(9). Calculate the greatest common divisor of q and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/32 of a tonne?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 10311939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -227 + 224. Let x be (-12)\/(-5) + (-2)\/5. Put x, -5, s in descending order.\nAnswer: x, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 77, 74, 61, 32, -19?\n\"Answer: -u**3 + u**2 + u + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -43, -50, -65, -94, -143, -218, -325, -470?\n\"Answer: -t**3 + 2*t**2 - 6*t - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*x + 36 = -x, 2 = -x. Let f = 43879 - 131636\/3. What is the nearest to f in -3, b, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 4) in base 7?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 118, 314, 512, 712, 914, 1118?\n\"Answer: f**2 + 193*f - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 7*r - 30 = 0. Let d be (4\/(-10))\/(2\/(-20)). Let y be -26 + 777\/21 - 9. Solve r + d = -y*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 3)**2*-4 + -3.\nAnswer: -91 - 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q**3 + 861*q**2 - 623*q + 515. Give v(-216).\nAnswer: -4885","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2797 divide 468463936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (37 + -40)\/(3\/(-1894))?\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -392*f**4 - 57*f**3 - 390*f**4 + 784*f**4 - f - f**4 + f + (4 - 4 - f)*(f**3 + f**3 + 0*f**3) - 4*f**4 + f**4 + f**4.\nAnswer: -3*f**4 - 57*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6803231983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*l + 10, -13 = -4*l + 7*t - 2*t. Let j(h) = 27*h**3 - 2*h**2 - h**2 + 17*h**3. Let w be j(l). Round w to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**3 - 8*l**3 + 12*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k - 20 = 10*k, 5*k - 26 = -3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -316*k - 3767. Let y be w(-12). Suppose 1500 = 4*b + b. What is the highest common divisor of b and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12456.546 * -3\nAnswer: -37369.638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 585*p - 610*p - 520 = 655 for p.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7\/2, -2.4, -8?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/18*(-116)\/2 - 12.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.34 + -0.62. Let f = -0.9600118 - a. Round f to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29314\/7 or 4188?\nAnswer: 4188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 10*p - 22. Let x be g(6). Let z(r) = 67*r**2 - 2*r + 2. Does 23 divide z(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 8\/15, -3, -0.2, -1, 0.1, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -2\/19, 358\/9, 0.2, 77, 1?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**2 - 8*g - 4470. Determine f(40).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-5)*(-314)\/6. Let q = z + -31. Let d(f) = -f**2 + 2*f + 1. Let o be d(3). Which is the smallest value? (a) o (b) q (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1236615 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1648 divided by -824\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - -22) + (1 - (-1 + 3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 130243130001 - -2?\nAnswer: 130243130003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.71 and -37023.\nAnswer: -37021.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12907 and 6?\nAnswer: 77442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - v - 8. Let s be n(4). Suppose 0 = 2*i + 21 + 15. Let l be -2 - (-2 + s)*i. Calculate the highest common factor of 85 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f + 6*f = -1161026*y + 1161024*y + 39, -y + 5*f = -22 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12816, -25611, -38420, -51249, -64104, -76991, -89916, -102885?\nAnswer: -115904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2391 - 1163 - 1188 + 57*x with respect to x.\nAnswer: 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d. Let l(i) be the first derivative of -11*i**3\/3 + 3. Give l(h(y)).\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 2\/9 (b) -491483 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r**2 + 13*r - 36. Give n(5).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1022236, 2044467, 3066696, 4088923, 5111148, 6133371?\nAnswer: 7155592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-8))\/(140\/(-336))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v + 4*m - 47 = 53, 20 = 2*m for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence prr when three letters picked without replacement from prrprrrr?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 1469, -0.3, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 39986710*i**2 + 1. Let q(z) = -z. What is q(d(t))?\nAnswer: -39986710*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12883595 and 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 857043030 and 15.\nAnswer: 857043030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v + 1. Let w(f) = -3*f - 37. Let d(c) = -w(c) + 4*z(c). Let u be (4 - 3)*2*6 + 1. What is the tens digit of d(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - q + 606 - 10495, 0 = -2*a + 3*q + 4957. What are the prime factors of a?\nAnswer: 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k\/(k*k**(2\/3)))\/k*k)**35*k**(1\/16)*k**2\/k assuming k is positive.\nAnswer: k**(611\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**6\/180 - s**4\/12 - 3*s**2. Let a(c) be the second derivative of l(c). What are the prime factors of a(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/((t**30\/t)\/t))\/((t**(-11\/2)*t)\/t)*t**(-1)\/t*t\/((t*t**(-44))\/t*t) assuming t is positive.\nAnswer: t**(43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 54*d. What is f(1)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 133c44 (base 14) in base 7?\nAnswer: 5433014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 40 = r - 7*r, -4*k + 3*r + 23 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36.3 + -31.3. Sort 3, 0.3, g, -0.4 in descending order.\nAnswer: g, 3, 0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1421 and 21099939.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5 - 449*v**4 + 49723*v**3 + 151873*v**2 + 152776*v + 51076.\nAnswer: (v - 226)**2*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 88 - 77. Let v = 15 - y. Let j = -2.8 - 0.2. Which is the third smallest value? (a) 0.4 (b) v (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)\/sqrt(3)*-5 + sqrt(56))\/sqrt(4))\/(sqrt(14)\/(sqrt(21)\/sqrt(3))*-5).\nAnswer: 4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112 + 0 + -1669 + 1695 - 27.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2\/5 - 1010462144*o\/5 - 127629218057134592\/5 = 0. What is o?\nAnswer: -252615536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**3 + 354*j**2 - 5637*j - 108. Give m(19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 6*g**2 + 4*g + 7. Let v be w(5). Factor 2*y + v + 3*y + 4*y**2 + 0 + 0*y**2 + y**3.\nAnswer: (y + 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 3*p - 2*p**2)*(8 - 8 + 9)*(-4 + 0 + 3 + (6 + 0 - 4)*(1 - 1 + 1) - 1 + 6 - 1 + (0 + 0 + 2)*(-2 + 0 + 4) + 2 + 4 - 4 + 1 - 4 + 1).\nAnswer: -162*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 27*v + 192. Let m(n) = 11*n + 80. Let t(x) = -5*a(x) + 12*m(x). Let o(r) = -2*r**2 + 13*r. Calculate t(o(y)).\nAnswer: 6*y**2 - 39*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 31 = w, 5*w - 5*z - 10 = -z. Let j be -3*((-2)\/w + 1). Let u = -2 + 1. Which is greater: u or j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*i - 270 = -56, -4*d = -3*i - 199. Let y = 61 - d. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 7, 3, 2\/11.\nAnswer: 0, 2\/11, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1141699*x**3 - 101689*x**2 - 2*x wrt x.\nAnswer: 6850194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5*x - 50 = 0, 4*z - 5*x + 25 = 5*z. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(1225))\/((1*sqrt(49))\/sqrt(7)) + 2)*1.\nAnswer: 2 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 4 (c) 71 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 4:26 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyynyynyyn. What is prob of picking 3 y?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170003.\nAnswer: 170003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*g - 5. Solve 3 = g*i - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 78*s**2. Let x(o) = -1510882*o. Determine x(n(i)).\nAnswer: -117848796*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 657565908 to the nearest integer?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 8:57 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4207048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 + 33.032. Let y = -0.132 + g. What is the nearest to 0 in y, 2\/15, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6944 and 620?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -22, 4110, -6 in decreasing order.\nAnswer: 4110, 4, -6, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/448 + (-7614)\/(-672) - 312\/26.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-98) - (35304\/(-588) - -14).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -3*k + 2*k - 18, -5*t + 2*k = 29 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -116, 9, 0.1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.70093 times -256?\nAnswer: -691.43808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 7*w**2 - 8*w + 4. Let f = 7 + -15. Let y be a(f). Solve -3*t - 3*d + 4*d - 3 = 0, y*d = -3*t - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q**2 - 22*q - 13. Let a be b(-5). Let d be 1\/a*-3 - (-8 - -7). Let 4\/5 - 6\/5*h + 2\/5*h**d = 0. What is h?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 47 = 5*q - 90 + 49, -2 + 28 = -y + 2*y - 15*q for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7*d**4 + 6*d**3 - 6*d**3)*(-2 + 5 - 5 + (2 - 5 + 5)*(0 - 1 + 3)) - 2*d**4 + 6*d**4 - 3*d**4 + (3*d**4 - 4*d**4 + 0*d**4)*(1 + 2 - 1))*(-2 + 2 - 2).\nAnswer: -26*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 27*n + 4. Let g(k) = -26*k - 3. Determine -7*g(a) - 6*r(a).\nAnswer: 20*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b**2 - 1278*b + 332859. Determine v(170).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16046 - 16045.1627. Let m = -0.783 + c. What is m rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f**2. Let j(p) = -3*p + 3. Let t(w) = 3*w - 4. Let d(k) = -4*j(k) - 3*t(k). Calculate g(d(c)).\nAnswer: -45*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/12810 and 131\/6.\nAnswer: 12810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -104 + 101. Let g be 2\/42 - 3\/9. Which is the third biggest value? (a) z (b) 0.2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*j + 21*j + 17*j.\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4 + 108*a**3 + 1179*a**2 + 3570*a.\nAnswer: 3*a*(a + 5)*(a + 14)*(a + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = l. Let z = 3.9 - -1.1. What is the nearest to -0.1 in -4, l, z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15\/214487 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/sqrt(3) + 0 + -1 - (-4 + (sqrt(133)*2)\/sqrt(7)).\nAnswer: -sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 32714708, 32714707, 32714706, 32714705, 32714704, 32714703?\n\"Answer: -u + 32714709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fnq when three letters picked without replacement from {q: 8, f: 4, n: 4}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of k**4\/3 + 4*k**3 + 10*k**2 + 44*k. Solve q(z) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + d**3 + 2)*(3 - 3 + d) + (-d**4 - 4*d**4 - 5*d**4)*(-2 + 5 + 2) - 4*d**4 - 4*d**4 + 5*d**4.\nAnswer: -52*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1496084685.\nAnswer: 3, 5, 179, 557201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 76 = -86. Is 8 a factor of ((-2)\/3)\/((-3)\/135) + j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g**2 - 5*g. Let s(z) = -4*z**3 + 2*z**2 - 1. Let i be s(-1). Let t = 4 + -1. Let v(w) = 7*w**2 + 9*w. Determine i*p(q) + t*v(q).\nAnswer: q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3*u - 1)*(u - 3*u + 4*u)*(-11*u + 6*u - 3*u) to the form h*u**3 + v*u + d*u**2 + m and give h.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3\/1490 - 41011\/17880. Calculate the common denominator of 294\/8*-8*1\/(-24) and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1125700 rounded to the nearest ten thousand?\nAnswer: 1130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1812550 or -70689395\/39?\nAnswer: -1812550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 198*a**4 - 2482924*a**3\/11 + 943514160*a**2\/11 - 119512948800*a\/11 + 219488000\/11 = 0.\nAnswer: 2\/1089, 380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 3\/2 (c) 1\/6 (d) 2 (e) -9.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**3\/5 + 82*t**2\/5 + 1067*t\/5 - 494 = 0 for t.\nAnswer: -65, -19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 168\/(-882)*(-1)\/(286\/(-77))?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*b = -17427 + 5793. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88046017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 - 38.05. Let p = c - -0.05. Let b be 8\/30 - (-28)\/70. What is the closest to p in b, -0.3, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1.14, -0.3, 4\/3, -16 in descending order.\nAnswer: 4\/3, 1.14, -0.3, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 212 + 5?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*b - 76*b - 65784 = -3*s, -4*b = -2*s + 43864. List the prime factors of s.\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 2 (b) -0.1 (c) 2\/5 (d) 4 (e) 3\/53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 191*w + 538. Determine z(-3).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2955 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 6) in base 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58.23 + 58. Let b = x - 1.87. What is b rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of 0*z**4 - 1 + 0*z**3 - 77\/30*z**5 - 43\/60*z**6 + 15*z**2 + 0*z. Find the third derivative of j(i) wrt i.\nAnswer: -516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4*b = -183 + 639, -2*q + 4*b = -252. List the prime factors of q.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -22*v + 56. Let b be j(2). Suppose 0 = 56*i - 59*i + b. Put -5, i, 2 in ascending order.\nAnswer: -5, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-40)\/(-35) - 1\/7) + 224. What is the highest common divisor of f and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 13) to base 6.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, w: 9, m: 4, s: 4}. What is prob of sequence smww?\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31608883 - 3*w + 31642668 + 5*w)*(2*w - 2*w**2 - 2*w + (-1 + 1 - w)*(0*w - 2*w + 3*w)).\nAnswer: -6*w**3 - 101355*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4853021 + 3.\nAnswer: 4853024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6977 is divided by 870.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 19\/4 of a meter?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l. Let f be t(-3). Suppose 3*z = f, 3*q - z - 15251996 = -0*z. Suppose q = -4*j - 21316001. Round j to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -18*d - 8. Let s(x) = 1. Let i(m) = -c(m) + 3*s(m). List the prime factors of i(7).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 15 = 14*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-1)\/15*3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 19*o**4\/12 + 5*o**3\/6 + 5*o**2\/2 + 3*o. Let r be (3\/1)\/(1\/(-1)). Is q(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/2, -20, 3, -2\/35, -1, -0.274?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -20*r. Let w be d(3). Suppose 14 = 5*s - 1. Let j(i) = -5*i - 20. Let h(l) = -1. Let y(o) = s*j(o) + w*h(o). Let u(n) = 5*n. What is y(u(t))?\nAnswer: -75*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.4071t in nanograms?\nAnswer: 71407100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 11:26 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/324*-9*4. What is the second smallest value in 3\/4, -9, n, 0.45, 1\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 16*d**3 + d - 9*d**3 - 8*d**3 - 11 + 13*d**2. Let p be r(13). Let x be (-1 + p)*55\/5. Solve -3*g + 4 = -x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (35 - 45 - (-3 + 10 + 4 - 1))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-94)\/(-10) + (-4)\/10. Suppose 1 + s = r. Calculate the lowest common multiple of r and (6\/4)\/((-6)\/(-16)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*r + 38 = 4, 3*f + 57 = -3*r. Suppose -3*p + 2*b = 3*b + 34, 3*p + 30 = -3*b. What is the units digit of 42\/9*p\/f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -m**6\/180 - 5*m**3\/3 - 1. Let h(g) be the third derivative of o(g). Let q(z) = 4*z. Calculate h(q(v)).\nAnswer: -32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**5 + b**4 + b**3 + b**2 + b + 1. Let w = -14 + 20. Let t(g) = -4*g**5 + g**4 + 4*g**3 + 5*g**2 + 3*g + 3. Let o(m) = w*k(m) - 2*t(m). Factor o(p).\nAnswer: 2*p**2*(p - 1)*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of 0*d**4 + 13\/5*d**6 + 0*d**5 - 26*d**2 + 4 - d + 0*d**3. What is the first derivative of g(r) wrt r?\nAnswer: 312*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95 - ((-82 - -205) + -21).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29074 is divided by 1675?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 11*j + 360 = 0. Calculate the highest common factor of j and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4228479*x**2 + 1599215?\nAnswer: 8456958*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 8*d. Let h be t(9). Let y(f) = f**2 - 3*f + 2. Let g be y(2). Let i = 5.2 + -0.2. Which is the closest to g? (a) h (b) i (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/296538 and -19\/25632.\nAnswer: 1266810336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -a**5\/60 - 7*a**4\/24 + a**3\/2 + 3*a**2. List the prime factors of c(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.5 - -33. Let l = w - 28. Let a = l - -3.5. What is the closest to a in -2, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o**3 + 3*o + 3*o**3 + 2*o**2 - 1 + 0*o**3. Let b be m(3). Let f = 2 - b. Solve -n = -f*v + v + 7, -19 = 2*n - 5*v for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4405 and 0.62234?\nAnswer: 2741.4077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -83ea - 0?\nAnswer: -83ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2659 = 2*t - 2492, -t - 8572 = -5*s. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2\/3, 11 in increasing order.\nAnswer: 0.5, 2\/3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 9*y + 5. Let n be k(-10). Let t = 6548\/7 + -936. What is the nearest to 3.2 in -3, n, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40.48 - -41. Let u = q + -0.471. What is u rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 12*u + 4*u + (-5 + 5 - 2*u)*(-1 + 1 - 2))*(-u + u + 2*u).\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**3\/3 + 7*o**2\/2 - o - 1. Suppose -20 = 5*j - 50. Does 2 divide z(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**3 + d**2 + 1. Let p be c(2). Suppose -4*h - 4*w - p = w, 2*h + 2*w + 12 = 0. Let r(i) = -6*i. What is r(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1182387011?\nAnswer: 13, 173, 525739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23978.59369 + 25541.6027. Let o = k - 1563. Round o to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 203409 and 799668?\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2545774 and 99.\nAnswer: 22911966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 70942 divided by 35471?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6.7 (b) -0.5 (c) 1620 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 814565730 to the power of 1\/2, to the nearest integer?\nAnswer: 28541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + 40. Let c = 149 - d. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**3\/5 + 56*c**2\/5 - 342*c\/5 - 396\/5 = 0.\nAnswer: -33, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1395 + -1395.00242. What is s rounded to 5 decimal places?\nAnswer: -0.00242","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -75*w**3 - 155*w**2 wrt w?\nAnswer: -450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125019401?\nAnswer: 13, 2557, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 803.8656 months to centuries.\nAnswer: 0.669888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -5*q**4 + 10745*q**3 - 2152875*q**2 - 22337125*q - 56517500 = 0.\nAnswer: -5, 235, 1924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*u + 199*u - 14*u + 63*u in the form t + v*u and give v.\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 274?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/5))**35*b**(-1)*b\/b**6)\/(((b**(-5\/6)\/b)\/(b*b**(-5\/4)))\/(b\/b**(-1\/4)*b*(b**(-1\/3)*b)\/b)) assuming b is positive.\nAnswer: b**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 128 - 259\/2. Which is the nearest to -2? (a) 0.1 (b) h (c) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -148 - -180. Suppose 0 = -3*x - 5*w - z + 23, 2*w - 2 = -4*x. Factor 3\/5 + 1\/5*g**3 + g**x + 7\/5*g.\nAnswer: (g + 1)**2*(g + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1613631350 + 1?\nAnswer: -1613631346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*a**2 - 17*a**2 + 76*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 132123 (base 4) to base 2\nAnswer: 11110011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3906672437.\nAnswer: 17, 131, 1754231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d + 4. Let x be t(-9). Suppose 19*o - 3 = x*o. What are the prime factors of o*(4 - 17) + 2?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 250.\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x - 7*x + 16*x + 16*x.\nAnswer: 19*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -171 - (10 + (-1 - 4) - 1). Let v = x + 181. Solve 8 = 4*p - 5*l, 2*p + l - 8 = v*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 5*o - 67 = -0*o + 86, -3085 + 3132 = 13*b - 3*o for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -180 + 309. Is 29 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2426 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 7477\/3519?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.105 times 0.4?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49.5 - 50. Let d = 3.1 - 3. What is the closest to d in 2\/21, 4\/5, u?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 1 - 3*p + 6 - 8*p. Let o(r) = -5*r + 3. Let f be (-4)\/14 + 455\/49. Give f*o(l) - 4*b(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -l + 3*s - 7*s, -l - 5*s - 3 = 0. Let k = l + -10. Suppose y + k = 1. Let o(z) = -z**3 - 7*z**2 - 5*z + 5. What is o(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a**2 + 2*a + 1. Calculate p(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -32, -3, 4, 35 in decreasing order.\nAnswer: 35, 4, -3, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15157521?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + -50. Let n = f + 17. Suppose -u - n = 0, 2*q + 6*u = u + 66. What are the prime factors of q?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 (base 3) in base 15?\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*p + 36 = -302*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 0)*(1 + 1 - 3)*(-v + 0*v + 2*v) + 2*v - 2*v - 4*v to i*v + t and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 380*d**3*h*i + 2*d**3*h + 215*d**3*i - 4*d**3 - 12*d**2*h + d*h*i - 37*d*h - 1057*d*i wrt d?\nAnswer: 2280*h*i + 12*h + 1290*i - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0407 - 0.6407. What is the second smallest value in -1, p, -0.3, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 3722*t**3\/3 - 3805*t + 4041. Differentiate i(y) wrt y.\nAnswer: 7444*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 2\/11 (c) -0.07 (d) 0.5 (e) -67\/5 (f) 4 (g) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005637518 rounded to four dps?\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -455 - -410. Let f = 0 - k. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111344 divided by 17.\nAnswer: 111344\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 11) to base 2\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*u - 228 = 77*u. Let q be (-82 - -88) + u\/13. Determine w, given that 2\/13*w - q*w**3 - 2\/13*w**2 + 2\/13 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/515 and 21\/((-504)\/(-32)) + 5496\/(-3150).\nAnswer: 18025","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1356*h**2 + 1 - 1 - 1747*h**2 to n*h + v*h**2 + p and give v.\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 2*o + 59, -3*o + 71 = 5*c - 9*c + 2*o for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/3486 and 31\/903?\nAnswer: 149898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-6))**(-16\/9)*d*d*d\/d**(2\/49)*d\/(d**(-38)\/d) assuming d is positive.\nAnswer: d**(22081\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 1. Let u(x) = -x + 1. Let q be u(9). Let s be 2*(1 + 12\/q). Which is smaller: s or m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4914 and 286.\nAnswer: 54054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**4\/(l*l\/(l\/(l\/(l*l\/((l\/l**(-1))\/l)*l)))) assuming l is positive.\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -86 + 94. Let l = -0.2 - -0.1. What is the closest to l in t, -5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -144 + 146. Calculate the lowest common multiple of d and (-2)\/(0 - 1\/6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*c + 0*c - 4*c)*(3 - c - 3)*(-148*c**2 + 148*c**2 + 6*c**3).\nAnswer: 78*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = m - 4*g - g, 5*g + 6 = 4*m. Suppose -5*k - 3 = -m*k. Does 4 divide 272\/51 + 1\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -34*p - 172, 4*p + 24 = 48*b - 49*b + 2 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*x + 4*h, 4 - 21 = -4*x - h. Let r be (-274)\/(-84) - (x - (-27)\/(-6)). Let f = -7\/3 + r. What is the closest to -1 in f, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((7 - (-8)\/(-1)) + 1)\/(-2). Solve r = -12*h + 33 + 15 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -811, -818, -829, -844?\n\"Answer: -2*o**2 - o - 808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/36 + (71794460\/36)\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 + 1)*68\/102. Let v = 57 + -30. Put 1, g, v in decreasing order.\nAnswer: v, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -89 - 11. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 4*q. Let z = -100 + 103. Suppose z*m - 33 = -q*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 - 2 + 2)*(2*o - 5*o + o) + 0*o**3 - 3*o**3 + o**3 + 3 - 4*o**3 - 3 + 2.\nAnswer: -2*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*r**3 + 1481*r - 1481*r.\nAnswer: -21*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + r. Let s = -1 + 2. Let q(a) = -a. Let j be q(s). Give o(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2*((sqrt(10)\/sqrt(2)*1 + sqrt(5))**2 + ((sqrt(245)*-2)**2 - sqrt(5))).\nAnswer: -1999 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/338 and -71\/5174.\nAnswer: 67262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -10 + q**2 - 161\/6*q**3 - q - 34\/5*q**5 + 0*q**4. What is the second derivative of a(n) wrt n?\nAnswer: -816*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 4*(sqrt(1539) + -3*sqrt(1539))**2)*5 + -1 + 0)*3.\nAnswer: 369342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 5 = 0, 83*j + 1 = 88*j - 7*r + 14 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 14*j**2 + 16*j + 16. Calculate the least common multiple of 14 and w(-15).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*y + 137, 2*y + 4*p = 6*p + 132. List the prime factors of y.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**4\/48 - f**3\/24 - 5*f. Let t(v) = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15\/578 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4744*h**3*r*s**2*w**2 - h**3*s + 2*h**2*r*s**2*w + 9*h**2*r*s**2 - 2*h*r*s**2 - 14*h*r*s*w + 2*r*s*w - 2*r*w**2 wrt w.\nAnswer: 9488*h**3*r*s**2 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/7 (b) 1\/6 (c) -1 (d) 4 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -35214.6 rounded to the nearest one thousand?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrvrrprvprrrrrtrtrsr. What is prob of picking 1 v, 1 p, and 1 t?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 692700 rounded to the nearest 10000?\nAnswer: 690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -9*d. Let k(p) = -30 + p**2 + 17 + 13. Give a(k(m)).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 297836 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -143.4 - -144. Is 1\/8 greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 528 and 10384?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w**5 + 862*w**4 - 16*w**2 + 24484*w?\nAnswer: 40*w**3 + 10344*w**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x**2 - x**2 + x**2)*(-2 - 2 + 13)*(-17 + 17 - 6*x) in the form i*x + z*x**2 + u + c*x**3 and give c.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100\/16*1\/(-1 + 88533\/88524).\nAnswer: 5, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t + 0*t - 2*t + (2 - 4 + 3)*(-1 + t + 1) + (-1 + 1 + 2)*(-4*t + 0*t + 3*t) + 271*t + 278*t - 537*t to the form s + u*t and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a week in minutes?\nAnswer: 8820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 644 and 24?\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 849071141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3271*17768.\nAnswer: -58119128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10\/(-5)*-34*(-2)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 47*h - 43*h + 33 = 0, -4*f + 5*h + 30 = 0. Solve 0 = -q - 4 + f for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -1, -15, -45, -97, -177, -291?\nAnswer: -445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1389088794 to the nearest integer?\nAnswer: 37270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 1:15 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-82)\/((3 - 1)\/(-2)). Suppose 0 = -u + 33 + b. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/58597? (a) 0 (b) -4\/3 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 371 + -225. Suppose 3*g - 174 = -5*z, -14*z + g + u = -10*z. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2 - 2 + (-4 + 2 + 0)*(1 - 1 + 2) - 2 + 0 + 0)*(-18*h**4 - 9*h**4 - 2*h**4) in the form z*h + f*h**4 + c + d*h**2 + g*h**3 and give f.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*z = 0. What is the closest to 0.2 in z, -1\/8, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -2 - 2\/4)\/(-2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -13. Let b(k) = -1 + 2*k + k**3 - 5*k - 2*k**2 + k**2. Calculate b(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 + 12*o + 6. Let s be y(-6). Solve 2*g = 0, -g = 3*z - 0*g + s for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2205532 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: Put 43, -2\/21, -1\/2 in increasing order.\nAnswer: -1\/2, -2\/21, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -335 (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -1\/3*h**3 + 0*h**2 + 52*h + 3. Let o be v(0). Calculate the highest common divisor of o and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 5:14 PM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 44 = -0*l. Let k(a) = -a**2 - 18*a + 10. Let p be k(-15). Calculate the highest common divisor of l and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 1\/8 (b) 1\/4 (c) -2791305\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 1130*o**2 + 5*o + 1087. Let b(n) = -n + 4. Let u(t) = -5*b(t) - i(t). Find the first derivative of u(h) wrt h.\nAnswer: -2260*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1022*n + 499*n + 508*n = 2219100000. What is n rounded to the nearest one million?\nAnswer: -148000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 4 + -2 - -6 - (-722 - -822)) + -16\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -147 + 50 + 47 - q + 50. Let s(m) = 305*m**2 - 15*m. Let n(y) = -152*y**2 + 7*y. Let p(d) = 13*n(d) + 6*s(d). What is g(p(b))?\nAnswer: 146*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 26 = -1. Let c(d) = 15*d**3 - 1. Let x be c(-1). Let l = y - x. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -3*u - 3*d + 12, u - 12 = -3*d. Let m(w) = -w - 6. Let n be m(u). Let t = 8 - n. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 795459?\nAnswer: 3, 7, 37879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 - 2*x**2 + 0*x**2)*(-x + x - 2*x)*(-1376 - 14 + 114)*(-3 + 1 - 1).\nAnswer: -7656*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/7 (b) -5 (c) -45980 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3339754 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 378 - 374. Solve c = 4*v - 9 - 10, 2*v - n*c = 6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 2*x + x)*((3 - 3 - 5)*(-3*x + 7*x - x) + (-2*x - 3 + 3)*(0 + 4 - 3)).\nAnswer: -34*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/3))**(22\/3)\/(c**(-1\/2)\/c)**(-7) assuming c is positive.\nAnswer: c**(-277\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 22.1. Suppose 9*z = 5 + 58. What is the biggest value in l, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10340 - 9762. Is i even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 10. Let c(s) = -s**2 + 3*s + 3. Give c(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 197 - 191. Differentiate 30 - 26*l + 7 + p wrt l.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 3*x + 3\/2*x**2 + 4. Is 6 a factor of b(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -376 (base 10) in base 5?\nAnswer: -3001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) 0 (c) -69 (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206129.\nAnswer: 7, 11, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-52)\/(-65)*(-5)\/(-20). Which is the closest to d? (a) 1\/55 (b) -0.03 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + k - 2*k)*((-5 + 6 + 2)*(5*k - k - 3*k) + (3 + 0 - 1)*(-k + k + k)).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 7*l + 2. Let x be c(4). Let t = x - 16. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137642939 greater than or equal to 1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -291 not equal to -299?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191 = -3*j + 155. Is -14 at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 3*a**2 - 5*a - 6. Let w be o(-2). Let l = 21 + 6. Suppose u + 2*u - l = w. Solve 4*r + 3*t = 6*r + 3, -5*r + 2*t + u = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67\/284 + -1\/71. Let r = 11053.1 + -12490. Let p = r - -1437. Which is the fourth biggest value? (a) 6 (b) w (c) 2\/3 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 27*u**3 - 73*u**3 + 44*u**3. What is h(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 8*m**2 + 5*m + 13. Is v(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 5*l = z - 3, 2*z - 6 = -2*l. Determine b, given that b**2 + l*b + 3*b**3 + 3*b - 4*b - b**4 + 0*b - 2*b**5 = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**2*z**2 + 3345299*c**2 + 933*c*z**2 + 773*z**2 with respect to z.\nAnswer: 2*c**2*z + 1866*c*z + 1546*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ab (base 14) to base 6\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 72\/5 (b) 5\/3 (c) -0.029 (d) 155\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4116062848?\nAnswer: 2, 17, 111269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6*x = -52. Suppose 12*u - 9*u + 64 = -4*r, -52 = 2*u + 4*r. Are u and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 35967660?\nAnswer: -1\/35967660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -695*i**3 + 1651*i?\nAnswer: -4170*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 750264 is divided by 44?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -47*z + 785. What is h(21)?\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.96213ml in litres?\nAnswer: 0.07896213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(((d**(-1\/5)*d)\/d)\/d))**(-47))**(-2\/15))**(-1\/3))**(2\/81) assuming d is positive.\nAnswer: d**(-2068\/18225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o + 9. Let x be n(-3). Solve -x*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**3\/3 - 358*b**2\/3 + 6195*b = 0.\nAnswer: 0, 63, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110660932.\nAnswer: 2, 37, 263, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 + 77*i**3 - 39*i**3 + 29 - 35*i**3 - 2*i**2 + i to the form m + h*i + l*i**2 + r*i**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1502\/4797 - 2\/369. Let m(k) = 2*k**2 + 16*k - 16. Let z be m(-9). Factor 2\/13*s**z - 16\/13 - c*s.\nAnswer: 2*(s - 4)*(s + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 252 and 5761161?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7625 or -303?\nAnswer: -303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.332 + -0.132. Which is the second biggest value? (a) 0.5 (b) 4 (c) y (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -23*v**2\/2 - 11*v + 19. Let j be m(-2). What is the greatest common factor of 28 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -13*h + 56. Suppose 4*k - 166 = -3*w - 136, -k + 16 = 5*w. What is y(k)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*3*(-198)\/(-44)*4\/27.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 5 - 2)*(207*q + 414*q + 238*q) in the form z*q + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13112 and 440?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1500 divided by -4?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -121201201112 (base 3) in base 14?\nAnswer: -8801c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/4*8\/(-10). Let i be ((-8)\/12)\/((-252)\/216). What is the fourth smallest value in i, f, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 74, 2, -435 in decreasing order.\nAnswer: 74, 2, -435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*g = 1, k + 2*g - 6 = 0. Let t = k - 0. Suppose 4*m = -0*m + 3*s + 2, -2*m = 3*s - 10. Solve -t*y - 5 = r, m*y - 2*r + r + 7 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61097118?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 29*g + 124. Determine o(6).\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**4)**(-22) assuming s is positive.\nAnswer: s**(-110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -d + 2*d + 0*d + (0 + 1 + 1)*(-1 + 1 - 2*d) + 2 - 5*d - 2 - 3*d + 6*d - d as c*d + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + w + 24 = 0. Calculate the greatest common factor of 8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 12*a**4 + 23)*(-2 + 0 + 1) + (-4 - 3*a**2 + 4)*(-4*a + 4*a - a**2) - a**2 + 2*a**4 + a**2.\nAnswer: -7*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5392*c = 3*j - 5388*c + 48, 4*j = -2*c - 24 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4676449 is divided by 6380?\nAnswer: 6289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2, 2, 6?\n\"Answer: 4*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 4. Which is the nearest to 1? (a) l (b) 1\/8 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184365 to the power of 1\/2, to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 7\/18*s**6 + 59 + 0*s**3 - 16\/15*s**5 + 0*s**2 + 0*s + 1\/3*s**4. Find f, given that r(f) = 0.\nAnswer: 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 0.150313374?\nAnswer: 0.150313374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17 - 17 - 4*q + (1 + 1 - 1)*(-q + 0 + 0) + 0*q - 2*q + q + 0*q - q - q + q + 4*q - 4*q + 0 - 2*q + 0 - 2 - q + 2.\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21\/2? (a) -5 (b) -2\/5 (c) 9 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33807, 33806, 33805, 33804, 33803, 33802?\nAnswer: 33801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lpl when three letters picked without replacement from lllp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d + 17. Suppose -x + 8 = -3*w + 31, 3*w + 2*x = 8. Calculate s(w).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1089972 and 1224?\nAnswer: 2179944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*t - 88 = t, -3*g = -5*t + 66. Suppose 0 = 5*q + 7 + 18. Let n = q - g. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5797*y**2 + 10943*y wrt y.\nAnswer: 11594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - 0.1. Let q = 182187\/5 + -36295. Let w = q + -142. What is the biggest value in w, x, -1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*x - 33, -4*x = 3*c - 24 - 39. Let q = -7 + x. Suppose q*r = 4*r + 341. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 7*n**2 + 8*n + 60. Let a(p) = 15*p**2 + 17*p + 121. Give 6*a(o) - 13*d(o).\nAnswer: -o**2 - 2*o - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - n - 17 = 4*n, -4*n = -5*m - 11 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (13 + (9 - 17) + (-6 - 2))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 0) + 186\/(-66). Let u = 14 + -12. What is the second smallest value in f, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*l, -2*i - 27 + 24 = -l. Put 3, 1265, i in descending order.\nAnswer: 1265, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 7*k - 13. Let r = 0 - -1. Suppose -3*c + 35 = -r. Calculate the remainder when f(c) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 289, 576, 863, 1150, 1437?\n\"Answer: 287*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*x = -5*s - 15, -4*s = -5*x + 12. Is x greater than or equal to 4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 1:22 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42690260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1423022 - 12?\nAnswer: -1423034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61471 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 4*x + 10 + 23, 2*u - 5*x = 22. Calculate the highest common factor of 1 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-14)*-4*(-7)\/(-14)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.02500021 - 0.025. What is w rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 10*p + 556 = 4*j, -2*j - 5*p = -290. Suppose -5 = -2*d + 2*m + 33, 3*m - j = -5*d. Calculate the highest common factor of 48 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**3 + n - n)*(-368 + 368 - 10*n)*(-4 + 2 + 1).\nAnswer: 50*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -11*d**7\/42 - d**5\/4 - 225*d**4\/4 + 659*d. Find the third derivative of l(h) wrt h.\nAnswer: -660*h**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/5436 and -3\/10 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 201 = -i, -11 = -4*n - 3. Round i to the nearest ten.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -77 + 80. Suppose 3*h - o = -8, 2*h + o + 2*o = 2. Let a = -1 - h. Put t, a, 4 in increasing order.\nAnswer: a, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -18.06. Let j = 0.54 + t. Let r = -302 + 299. What is the third smallest value in j, 3, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 19*h**2. Let f(l) = 16*l + 1. Let g(t) = -441*t - 28. Let u(p) = -28*f(p) - g(p). Give v(u(b)).\nAnswer: 931*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-577 - -595) + -1 + -22.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (6 + -7)) + (4 - (2 + 7))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 10*l - 14. Determine g(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**4\/13 - 92*z**3\/13 - 190*z**2\/13 - 96*z\/13 = 0. Calculate z.\nAnswer: -1, 0, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**4\/7 - 126460*d**3\/7 + 2277144*d**2\/7 - 13664592*d\/7 + 3904416.\nAnswer: -4*(d - 6)**3*(d + 31633)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-seven fifths of a millennium?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18916478?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16770 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3562676216.\nAnswer: 2, 11, 29, 1396033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 26*l**7\/105 - 39*l**4\/4 - 33*l**2. What is the second derivative of v(n) wrt n?\nAnswer: 624*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5250, 5277, 5360, 5529, 5814, 6245, 6852?\n\"Answer: 5*l**3 - 2*l**2 - 2*l + 5249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5796644, 5796616, 5796588, 5796560, 5796532?\nAnswer: 5796504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 4\/3*w**3 + w**4 + 0*w**2 - 38 - 2\/3*w**6 - 4\/5*w**5 + 0*w. Suppose f(t) = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ausa when four letters picked without replacement from wsasmaaaauassasms?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26765598?\nAnswer: 2, 3, 97, 45989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26\/449 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -55*p**2 + 3*p**3 - 1 + 0*p**3 + 56*p**2. Let w be v(-1). Does 23 divide (-410)\/(-3) - (-2)\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 1901*p + 11410. Calculate t(6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62030*c**5 - 7856*c.\nAnswer: -1240600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**3 - 32766 - v**3 + 2*v**4 + v + 32759 + 56*v**2 as y*v**2 + a*v**4 + w*v + j + f*v**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (124\/(-651)*51)\/((-10)\/(-35)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(475)*-4*-3)**2.\nAnswer: 68400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53892203\/1065 + 50603. Let c = -79939\/8520 - h. Let p = -14\/141 + 1405\/423. Find the common denominator of c and p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22200120120002 (base 3) to base 16.\nAnswer: 4673cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*f + 217 - 3396 - 55 = 0. What is the least common multiple of f and 187?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/((-18)\/(-32)*216\/81).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 17?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(12\/7)*a*a*a)\/a)**(-48) assuming a is positive.\nAnswer: a**(-1248\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 1:30 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/v**(-10\/7)))*v)\/v**1 assuming v is positive.\nAnswer: v**(17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 4:23 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 367?\nAnswer: 1\/367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + 2 + 36\/3. Suppose 0 = -m*f - 2 - 7. Let h be 2\/6 - 1\/3. What is the nearest to h in -3, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108381 (base 10) in base 6?\nAnswer: 2153433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*j - 5*j. Let h be j\/6 - 7\/3. Sort 0, h, -1.\nAnswer: h, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 551762 by 2.\nAnswer: 275881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/63*-30 + -1. Let u be (0 + 3)\/(4\/4). Suppose u = d + 2*q + 4, 2*d - 4*q + 18 = 0. Is d > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/911631?\nAnswer: -4\/911631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*x + x**2 + 17*x + 32*x + 34*x.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 u, and 1 i when three letters picked without replacement from iiuneum?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*u = -1 - 0, -4*v - 3*u - 7 = 0. Let f = -7 - v. Let i(l) = 2*l**3 - l**2 - l. Let h be i(-1). Is h != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 25, -68544 in decreasing order.\nAnswer: 25, 15, -68544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 963 and 963.\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6998576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43405135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 87, 99, 113?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t**2 + 4*t. Let a(p) = 12*p**2 + 9*p. Determine 4*a(o) - 9*w(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eqbfqbeqeeifiij. Give prob of picking 1 q, 2 b, and 1 f.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -y**3\/3 + y**2 + 2. Let m be f(2). Suppose 3*x - 3*w = 9, m*x - 5*w = x - 9. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**3 - 4*m**2 + 4*m + 13. Let f(z) = -2*z**3 - 3*z**2 + 3*z + 12. Suppose 4*c - 1 = 4*k - 29, 0 = -2*c + 5*k - 23. Give c*f(n) + 3*x(n).\nAnswer: 2*n**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.5 in 2, -141, -0.9, -1, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 244.6044956 rounded to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 divided by 10.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*l**4*u + 430*l**2*u**3 - 2*l*u**3 + 7*l*u**2 + 4*l wrt l.\nAnswer: -72*l**2*u + 860*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/249 + 484\/1743. What is the second smallest value in y, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 11) in base 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -9. Suppose 3 = -2*i - 3. Let x be (i\/9)\/((-4)\/12). Solve -h = -2*g + x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 - -59. Let c = -20 + n. Let h = c - 7.99998. Round h to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-11)\/1)\/(-5 - -6) + 4. Let y(z) = 2*z**2 + 2. Let n(m) = -6*m**2 - 6. Determine f*y(i) - 2*n(i).\nAnswer: -2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*j + 40*j - 1836 = -13*j for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a**2 + 4*a - 33. Let x(u) = -8*u**2 + 11*u - 98. Let l(z) = -11*q(z) + 4*x(z). Let r be l(8). Suppose -r = -5*s + 80. Solve -s - 2 = 5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/7)*y)**37\/(y**(1\/3))**(-5) assuming y is positive.\nAnswer: y**(590\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(25\/10) + 4\/(-10). What is the closest to -3 in p, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 6*h + 2. Determine w(-9).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6131851 - -0.258\nAnswer: 6131851.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oyyqyyqt. Give prob of sequence qo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + r + 5*h = 35, 5*r - 4*h = -49 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-22220)\/12 - (-2)\/3) + (71 - 70). What is d rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 - 112a2?\nAnswer: -11291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-1\/25)\/n*n**(9\/4) assuming n is positive.\nAnswer: n**(221\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 102 = 5*u, -2*t - u = -6*u - 73. Let c = t - 26. Solve 5*o - 25 = 4*p, p - 3*p + c*o - 15 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 295126.86 months to millennia.\nAnswer: 24.593905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1573486?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1449723468 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: 9 + 72\/(-4) + 12\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6144 = -6999*b + 6743*b for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - (-8 + 1794\/453). Let k = r + 260\/1057. Factor 2\/7*y**3 + 0*y**2 + 0*y + 0 - k*y**4.\nAnswer: -2*y**3*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -345 + 373. Suppose -3*r = 24 - 72. Let u = d - r. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 332\/(-498)*(54\/(-4))\/3. Solve -i*j + 10*v = 8*v + 15, -j + v = 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 34*f - 326. Calculate u(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 - 8. Suppose 0 = -8*x + t - 7. Solve -5*v + 13 = x for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23.907 - -0.107. Let r = w + 21. Let d = r - -3. Which is bigger: -0.1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 163 + 1521310?\nAnswer: 1521473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 153*h**5 - 466260*h**4 + 285645964*h**2 wrt h?\nAnswer: 9180*h**2 - 11190240*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 31*f. Let k(m) = -2*m - 7 + 5 + 2. Determine h(k(j)).\nAnswer: -62*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**2 + 274675*d + 119348430 = 0. Calculate d.\nAnswer: -54497, -438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence co when two letters picked without replacement from ocxcc?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oomioioikmkkokkcii. Give prob of sequence mcm.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express s**3 + s**3 - 3*s**2 - 6*s + 8*s + 2 - 4*s as z*s**3 + i*s + y + m*s**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 10:41 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1025 (base 6) to base 14.\nAnswer: -129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.791899 seconds in days?\nAnswer: 0.0004489803125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4 = z. Solve z*k + 3*v - 6 = -k, 0 = 4*k + v - 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 14 = 9*k. Let u(m) = -m + 10. What is the lowest common multiple of k and u(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-2))\/(6*40\/(-4704))*(-1)\/(-1).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -1212*v + 704. What is the units digit of c(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 3:15 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t + 5 - 3 - 2*t**2 + 3*t**2 - 1. Let q be (-16)\/7 - 2\/(-7). Calculate j(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.1 (c) -1077 (d) -14 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9383, -9392, -9419, -9464?\n\"Answer: -9*w**2 + 18*w - 9392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f*k**3*v**2 - f*k**2*t*v - 4*f*k**2*v + f*t**2 - 3*f*t*v + k**3*t**2 + 1222*k**3*t - 3*k**2*t*v**2 + 26*t*v**2 wrt k?\nAnswer: -12*f*v**2 + 6*t**2 + 7332*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.139 times -1549?\nAnswer: 215.311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65 - 13) + -67 - -38?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 1:30 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -22. Does 10 divide 1068\/36 - 1\/p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.036 and 3.\nAnswer: -0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 1 = -x - 3*h, 5*h = 10. Suppose -2*b = x*b - 10. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51 - (37 - 100)) + -138.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-296) - (-1109)\/8872.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**2 + 702*t + 41067 = 0. Calculate t.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 40178.\nAnswer: 40178.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 16, 79, 212, 421, 712?\n\"Answer: a**3 + 29*a**2 - 31*a + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*w - 17 = b, -5*b + 55 = -5*w. Let i be (-1)\/(b\/12 + -1). Let s be 13\/(-4) - (-1)\/i. Is s greater than or equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 (base 16) in base 4?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -87537, -350126, -787767, -1400460, -2188205?\n\"Answer: -87526*y**2 - 11*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f**5\/3 + 299*f**4\/3 - 8840*f**3\/3 + 25061*f**2\/3 - 18098*f\/3 + 1568\/3 = 0. What is f?\nAnswer: -49, 1\/10, 1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/40 + (-35)\/68. Let z = 830 - 14106\/17. Let d = z - h. What is the third smallest value in -0.3, d, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*y**4 + 34826*y**2 - 10253*y + 104?\nAnswer: -420*y**2 + 69652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -989, -993, -1011, -1049, -1113?\nAnswer: -1209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -546, 20, -5, 1 in descending order.\nAnswer: 20, 5, 1, -5, -546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 6:23 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 780890342?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*c - 99*c + 57*c = -3*k - 102, 4*c + 5*k = -79 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbobbobbbo. What is prob of sequence obo?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebkmkmyg. What is prob of sequence kg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4143*l - 16564. What is p(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 s when two letters picked without replacement from skskssskeskskk.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4314247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18331*s - 2472 = -18125*s for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Calculate 140 + -30.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-3))\/(400\/1100)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6280\/12)\/((-6)\/(-9)). Let x be (-2)\/7 - (-9444)\/(-21). Let l = x + t. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 116 = -2*q, 3*c - 7*c + 64 = q. Let h = q + -31. Calculate the greatest common divisor of h and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 67 + -69 + (3 - 1) + 0. Which is greater: 2\/215 or y?\nAnswer: 2\/215","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k**3 + 3*k**2 - 2*k. Determine t(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 bigger than 92\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-28) + -3 + (-696)\/224 + 3\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 8. Calculate g(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.022 and 0.2.\nAnswer: 0.178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.2 + 2.20111. What is a rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 8*x - 13. Let d = 87 - 90. Let c be g(d). Is c at most as big as -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - -153. Let f = -7 + 11. Suppose f*x - 78 = -4*w + 2*x, 3 = x. Calculate the highest common factor of w and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -0.2, 1\/4, 0.268, -1\/3, 24, 0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-6))\/(4\/(-84)). Let i(t) = -6*t + 82 - 80 - 11*t**2 + 4*t**3 - t. Let h(k) = -2*k**3 + 5*k**2 + 3*k - 1. What is l*h(g) - 3*i(g)?\nAnswer: 2*g**3 - 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 x when two letters picked without replacement from {h: 1, m: 1, x: 1, b: 1, z: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 5. Let u be v(-5). Let l be u\/2*3\/6. Suppose 4*q - 5*k - 83 = 0, l = -2*k + 8 + 2. Calculate the remainder when q is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -104552 - 421?\nAnswer: -104973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1675 rounded to 3 dps?\nAnswer: 0.168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -793, -1586, -2379, -3172?\nAnswer: -3965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 63466005?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/136 + (-2)\/(-17). Which is the nearest to -2\/7? (a) o (b) -6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 733762, 733915, 734070, 734227?\n\"Answer: u**2 + 150*u + 733611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63.17 + -12.\nAnswer: -75.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -i**4\/24 + 5*i**3\/6 - 6*i**2 - 10*i. Calculate y(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 460 = -5*y, 0*y - 4*y + s + 368 = 0. Let b = 1453 - y. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, j: 2}. What is prob of sequence mjjm?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -6645?\nAnswer: 6644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -187 and -553 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 553, 542, 523, 496, 461?\nAnswer: 418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1026, 1267, 1506, 1743, 1978?\nAnswer: 2211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 78 + 309. List the prime factors of y.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24\/23, -2\/9, -0.2, -273 in descending order.\nAnswer: 24\/23, -0.2, -2\/9, -273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 4 + 22 = -3*q, -4 = -4*i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert a8 (base 14) to base 12.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3264 divided by 17\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5761, -19548, -42527, -74698, -116061, -166616?\nAnswer: -226363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32836074?\nAnswer: 2, 3, 5472679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-45)\/(-20)*6\/9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**4\/6 + i**2. Let o(c) = 6*c + c + c - 6*c + 0*c. What is o(b(k))?\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -130012 (base 4) in base 8?\nAnswer: -3406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6ae - b?\nAnswer: -6ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -10*f - 27 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/45 - 0\/(-1). What is the second smallest value in m, -0.5, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25832909 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72193?\nAnswer: 11, 6563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4 - 31*k + 67*k - 34*k. Let x(t) = 1. Determine -5*x(g) - y(g).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.3, -2, -11, 420, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -6*r + 139. Let x = r + -63\/2. Let j = -20 + 15. What is the third smallest value in j, 0.3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + sqrt(304) + -5 + (sqrt(304) + ((-1 + sqrt(304))**2 - sqrt(304)))*-3).\nAnswer: -2766 + 84*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 - 222*n + 8222. What is b(57)?\nAnswer: 2066","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1204200 divided by 24084\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/1 + (-2 - 10). Let c = 16 + g. Suppose -3*q + 6 = 5*a - q, -12 = -2*a + 4*q. Solve -a + c = b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (-5 - (-2 + -2)) - (-3 - -9).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 47 = -24*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174806?\nAnswer: 2, 87403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1630 is divided by 747.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/150 and -173\/1149540.\nAnswer: 5747700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 38*s - 107. Let q be u(6). What is the highest common divisor of q and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 761, 1459, 2145, 2819, 3481, 4131, 4769?\n\"Answer: -6*x**2 + 716*x + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*i + 6115 = -r, -24450 = 4*i + 2*r. Is (i\/(-30))\/((-1)\/(-3)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*l - 16*l + 193*l**2 + 141*l**2 - 120*l**2.\nAnswer: 214*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 7.3. Let m = 31 + -16. Let d be 6\/(-4)*(-50)\/m. What is the third smallest value in -0.3, d, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1404 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 604*d**3 + 9*d**2 - 5. Let o(l) = -302*l**3 - 4*l**2 + 2. Calculate -5*o(f) - 2*q(f).\nAnswer: 302*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35668 is divided by 183?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 12*b**2 + 17*b + 33. Let z be k(10). Solve j + z*i = 4*i + 7, 19 = 4*j - i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1962 and 523232046.\nAnswer: 1962","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34170173\/7353 - -1184\/817. Let b = -4655 + v. Find the common denominator of -34\/9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vx when two letters picked without replacement from ssssjsyssxrvjs?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14*1 - 0)\/(-1). Let n = -139 - -141. What is the highest common factor of r and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) 3 (c) -2\/11 (d) -1094\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t - 2. Let o be v(0). Let y(n) be the first derivative of -12 - n**3 + 0*n - 1\/2*n**2. Calculate y(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*s - 2 = 146*s + 2*y, 4 = -s - 2*y. Let d(k) = k**3 - 6*k**2 + 2. Let w be d(6). What is the closest to s in w, 0.3, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3549006174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/6 + 42\/99. Which is bigger: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30*11\/(-132)*-6.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56365 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -6*z. Let v(q) = -3*q - 4*q + 4*q. Give 9*v(a) - 4*x(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5429 = 2*v + 12910, -3*v = 5*q - 91604. List the prime factors of q.\nAnswer: 5, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -281 + 506 - 23*g**2 - 223.\nAnswer: -23*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 912 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240093123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-879)\/4688*24\/(-18).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2*i = 4*b + 56, 3*b = -12. Let j(m) = m - 14. Let h be j(0). Let n = h + i. Solve -5*t + 2*t = 2*c + 8, 5*c + 4*t = -n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140532.913046 minus -0.2?\nAnswer: -140532.713046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 6*s - 8. Give u(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-3 - (-1 + 4) - -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + (-3)\/4)\/((-3)\/(-60))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 404, 391, 384, 389, 412, 459?\nAnswer: 536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a minute in seconds?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (14\/(-35))\/((-7)\/(-5)). Let n = 0.7 - 1. What is the nearest to m in n, 2, 0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139897, 279688, 419481, 559276, 699073, 838872?\nAnswer: 978673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 14 = -5*j - 5*a, -13 = -j + 5*a. Calculate the remainder when (-1065)\/(-10)*6\/9 - 2 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o - 6. Let s be r(8). Solve -4*h = 4*x - 8, 6 = -0*x + s*x for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -197 + -37. Let b = -233.8 - a. What is the third smallest value in 0.03, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3511618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24046.\nAnswer: 2, 11, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02437 in -39, 0.041, 2?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28657284374 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 99, 1\/4, 4 in decreasing order.\nAnswer: 99, 4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + (sqrt(18)\/(sqrt(6) - (sqrt(6) + -2*sqrt(6))) - sqrt(15)\/sqrt(5)*-6)**2) + -1.\nAnswer: -488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1647 and 1269?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/357*-6*1\/(88\/(-14)).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-236)\/(-5)*95\/38 - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -29*b - 365. What is the hundreds digit of o(-53)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 32076 and 1690.\nAnswer: 33766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4928*b**5*x - 19*b**2*x + 2*b**2 - 23*b*x wrt b?\nAnswer: 295680*b**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -5*i**3 + 52760*i**2 + 7567535*i + 269542270 = 0.\nAnswer: -71, 10694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-615)\/51 - ((-427140)\/(-3213) + -133)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - y + 4*s + 7, -5*y - 31 = 4*s. Put 9\/5, -5, -2\/9, y in ascending order.\nAnswer: -5, y, -2\/9, 9\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0562 plus 0.66532216?\nAnswer: 0.60912216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/860 and -73\/35548.\nAnswer: 7642820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x - 27 + 27 in the form n + o*x and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/4 + (-42)\/84. Suppose -4*h + 17 = -c, c = -2*c + h + 4. Suppose 14315457 = c*f + 3*z + 3965457, -w*f + 17250000 = z. Round f to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c + 44. What are the prime factors of p(12)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 3878.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 = -5*h + 8*d, -h + 47*d = 48*d + 14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 199719259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5*t**3 + t**2 + 2*t + 1. Let d be c(-1). Suppose -2*u = -a - 9, 58 = 5*u - 5*a + 23. Solve -d*z - 5*s = 35, -u*z - 5 = 5*s + 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**3 + 40*g**2 - 83*g - 1445. Give w(-20).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4458 + 11?\nAnswer: -4447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**3 - 504*f**2 - 1016*f - 16. Give j(254).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -0*j - 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 142764843?\nAnswer: 999353901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1388 - 462 - 456 + 4*t**3 - 470 + 6*t**3.\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - i + 2 - 3)*(-1 + 4 - 2) in the form k + m*i and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -328*u + 111*u + 108*u + 112*u. Let j(n) = -n - 3*n + 4*n - 14*n**2. Determine j(x(k)).\nAnswer: -126*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 204.1 - 209.384. Let s = v + 0.074. Let y = 0.21 + s. Which is the third biggest value? (a) -4\/3 (b) y (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g*t**2 + 73*g*t + 3*g - 75*t**2 - 9*t + 272163 with respect to t.\nAnswer: -4*g*t + 73*g - 150*t - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/7 + 792*z\/7 - 30358\/7.\nAnswer: -2*(z - 353)*(z - 43)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 0. Let v be ((-3)\/9)\/(92\/(-72)). Let h = 35\/46 - v. What is the nearest to -1 in a, h, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 323110 (base 4) to base 2.\nAnswer: 111011010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r - 3*r - 1 + 666*r**3 - 652*r**3 + 5*r as c*r**2 + d + x*r + o*r**3 and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1029)\/3234 - (-2)\/(-11))*4\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 7 - 33)*(-23*b - 49*b + 25*b).\nAnswer: 2256*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 233175 + -144766. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1872 or 38322?\nAnswer: 1872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 8) to base 12.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15, -29, -49, -69, -83, -85, -69?\n\"Answer: c**3 - 9*c**2 + 6*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 8:09 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 376*b - 264151 = 371*b + 4*f, 0 = 5*b + 3*f - 264158. What is the ten thousands digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 - -115. Let t = i + -93. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5*i = 35, -4*n = -5*i - 7 - 26. Suppose 3*o - 64 = 32. Suppose 6*t - n*t - o = 0. What is the remainder when 14 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 670659563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 990 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -4\/3, 3, 8902?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.971, 1.5, 2 in descending order.\nAnswer: 2, 1.5, -0.971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 572066543 to the power of 1\/3, to the nearest integer?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5732 - 4?\nAnswer: 572d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 333 = -10*b - 77. Is -9 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 247*r + 19. Let z(q) = 65*q + 4. Let j(g) = -2*i(g) + 9*z(g). Let n(a) = a. Let p(o) = o. Let x(t) = n(t) - 2*p(t). Calculate x(j(y)).\nAnswer: -91*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68830 is divided by 154?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (113 - 33*l**2 - 45 - 27)*(2 + 2*l**2 - 2).\nAnswer: -66*l**4 + 82*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -504 + 501.85. Let d = -2.12 - w. Sort -2\/7, 0.5, d, 0.15.\nAnswer: -2\/7, d, 0.15, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 532 and 30913?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 213?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 498297.3ml?\nAnswer: 498.2973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 740 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3d (base 14) to base 6.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjggjgjjjgjjgjjjg. What is prob of picking 3 g and 1 j?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 0.8298?\nAnswer: 0.16596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -w**3*y - 37*w**2*y - 92*y wrt w.\nAnswer: -3*w**2*y - 74*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 - 36. Let z(w) be the third derivative of w**5\/60 + 7*w**4\/24 - w**3\/6 + 3*w**2. Let f be z(-8). Solve d*h - 9 + 2 = 5*n, 3*n = h - f for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*j**3 - j**2 + 18*j**3 - 69*j**3 + 12*j**4 - 74*j**3 + j**4 in the form t*j**3 + z*j**4 + b*j**2 + r + h*j and give t.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -150*t + 145*t + 120. Calculate the greatest common factor of t and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 2*z - 64. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 3\/8, -388\/11, 5 in decreasing order.\nAnswer: 5, 3\/8, 0.1, -388\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/5)\/(-1))\/((-14445)\/8025)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 95*z - 1039. Calculate t(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 2*t + 3*r + 5, 3*r + 49 = -4*t. Let y = t + 15. Suppose y*g - 3*q - 2*q = 23700, -q = -5*g + 23704. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287 - 5951 = -59*u. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1066\/(-31447) + 2\/(-1416)*-1322.\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -2923*n**6\/30 + 17*n**3 - 2*n - 1520. Find the second derivative of z(y) wrt y.\nAnswer: -35076*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, h: 1, e: 3, m: 3}. Give prob of picking 3 m and 1 h.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000447347391 to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 10. Suppose -12*g + 10*g + 4*v = -34, -45 = -5*g + 2*v. Factor -g*o**2 + s + 9*o**2 + 26*o**2 + 64*o.\nAnswer: 4*(o + 2)*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-8))\/(4\/(-32)). Let f = 0 - -1. Solve 0 = a*i - 5 + f for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/8*(50 - 46). Let p be (-110)\/(-25) + -2 + (-18)\/(-30). Sort 0, n, -8, p.\nAnswer: -8, n, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -417000 divided by 100?\nAnswer: -4170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -638*x - 3996. Let b be c(-7). Which is greater: b or 2354\/5?\nAnswer: 2354\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -622 - -1236. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -226 in -2\/13, 3, 0.07?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1436 is divided by 181?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2629.74 to the nearest 10.\nAnswer: -2630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -138183965 * -0.2.\nAnswer: 27636793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -119 - -84. Let u = 950 + -983. Let x = o - u. Put -1, x, -0.01 in decreasing order.\nAnswer: -0.01, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -2. Let h(y) = -3*y + l - 2 + 4*y - 4. Let k be h(6). What is the third biggest value in -4, -2\/3, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - d - 1. Let j(h) = -1154*h**2 + 1158*h**2 + 0 + 6. Give j(n) + 6*l(n).\nAnswer: -2*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10411.16 + -10411. What is the smallest value in 15, i, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l + 25. Let j be c(20). Suppose j*o - 3*n - 26971239 = 0, o + n + 16182745 = 4*o. Let q = -3794249 + o. What is q rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - f + 62. Calculate t(-10).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.333 less than -214.9?\nAnswer: -216.233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -28) + -18 + (-50 - -68)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 - 478?\nAnswer: -581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 6:50 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-466)\/(-1864))\/(2\/10).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 2*q**2 - q + 5. Calculate the remainder when 22 is divided by p(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1111111010011 (base 2) to base 7\nAnswer: 32516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -21014722 (base 8) to base 4\nAnswer: -101001213102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s - 4. Let k be g(-4). Suppose -39 = 5*n + y, 2*n - 3*y + 2 = -k*n. Let x(q) = q**3 - q**2 + 4. Let i be x(-2). Is n equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(4 + a**5 - 4) - 10*a**4 + 10*a**4 + 7*a**5 + 3*a**5 - 1 - a**5 + 2.\nAnswer: 7*a**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + r - 35 = 0, -4*y - 46 = -4*r + 3*r. Let j = y + 107. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -105*s + 4204. Let x be o(40). Solve 3*c = -x*w + 18, 2*c + 3*w = -c + 15 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1345 (base 13) to base 11\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/504*((-8)\/24)\/(2\/(-42)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(70\/(-4))*30\/(14640\/56).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 4 (c) -0.1 (d) -633 (e) 41\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*p - 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b0be6 + d?\nAnswer: -b0bd9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g - 25*g = 15. Suppose -g = 4*k + 5. Let s be (-12)\/k - (-36)\/(-90). Solve s*q - 4*q - 4*l = -4, 4*q - 2 = -2*l for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (319\/(-87))\/(1\/(-3)). Let n = -1 + 0.9. Sort -2\/9, t, n in increasing order.\nAnswer: -2\/9, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.254704 millilitres?\nAnswer: 0.003254704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11884 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-3) + (-11)\/1. Let k = 18 + o. Suppose -z - k*j - 3 = 0, 0 = -2*z + 2*j + j + 12. Which is smaller: z or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11212221022 - 0?\nAnswer: -11212221022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 5.4.\nAnswer: -2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 - 0.3. Let i = k + -0.3. Which is the smallest value? (a) -2\/11 (b) i (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15*7\/140)\/((-14)\/(728\/(-3))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7957378 and 407.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3949.29 - -2.2129\nAnswer: 3951.5029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 40*((-13)\/(-5) + -1). Let u = d + -44. Suppose 6*k + 0*k = 180. What is the greatest common factor of k and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaafmrb. What is prob of sequence am?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1833 is divided by 338.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/(-12) + (-43)\/((-53664)\/(-104)))*-6.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 509711 to the power of 1\/2, to the nearest integer?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.475 + 10.475. Sort 36, 2, -2\/7, s, 0 in descending order.\nAnswer: 36, s, 2, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w - 3*w - 20*w**2 - 767*w**3 + 32*w**2 - 12*w**2 as s*w**2 + i*w**3 + r*w + c and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14268.52 times 0.4?\nAnswer: 5707.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -346*y**2 + 90*y + 584. What is j(-4)?\nAnswer: -5312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -1761.\nAnswer: 3\/587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*4)\/(17\/(-17))*13\/(-52).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*9\/(-162)*12\/(-22).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 42 + 21 = 0. Suppose -5*b + 24 = -q. Suppose 11*k - b*k = 1120. What is k rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(500\/(-26830))*-1. Let a = n - 536. Let t = -1 + 0.8. Put t, -2\/5, a, -2 in ascending order.\nAnswer: -2, -2\/5, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 0 + sqrt(162) + (sqrt(162) + 1 - sqrt(162)) + -3 + (sqrt(162) - (5 + sqrt(162)*1)) + -2)**2.\nAnswer: -198*sqrt(2) + 283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 208366441465737076\/537165 + -387900256842. Let v be (-1)\/2595*(-12)\/46. Let q = v + n. Find the common denominator of q and 43\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -21\/3487 and 2486 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -38, -20, -2, 16, 34?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2870*f**3 - 171*f**2 - f. Let x(c) = c**3 + c. Let j(r) = q(r) - 9*x(r). Find the third derivative of j(t) wrt t.\nAnswer: 17166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 6*a + 4. Let n be x(-6). Does 4 divide n\/6*3 + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -k - 3*k - 5*w, -4*k - w - 2 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -440*u**2 - 2*u**4 + 29*u + 454*u**2 - u**4 - 2*u**3 in the form p*u**3 + b*u + s*u**4 + i*u**2 + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*q + 3*w, w = 2*q - 2*w - 8. Let o be 1\/((-2)\/4 + 1). Let g be (20\/25)\/((-2)\/(-5)). Solve -q = g*h + o*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 0. Let c = 173 + -163. What is the lowest common multiple of c and 43\/w + (-1)\/(-2)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z*z\/z**(-3\/13))**(18\/13) assuming z is positive.\nAnswer: z**(990\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -487, -488, -489, -490, -491?\n\"Answer: -j - 486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h - 2*h - 3*h)*(-5*h + 0*h + 2*h)*(-7 - 4*h + 7) as x*h**2 + n + p*h**3 + i*h and give p.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhhhhh. Give prob of sequence hh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 d when two letters picked without replacement from mddwwmwdddwmwddmd.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 73, 1\/2, -1 in descending order.\nAnswer: 73, 1\/2, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 53906711 to the power of 1\/3, to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 897 is divided by 288?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (0 + 3)\/(-3). Let x(o) = 1 - 1 + 7*o. Determine x(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.42 + -0.42. What is the closest to -2 in -2, y, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 831925514.\nAnswer: 2, 7, 173, 389, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}