text
stringlengths
270
8.19k
meta
dict
= 99.7 - 99. Let f = -0.6 + o. What is the nearest to f in 2/9, 8/9, -0.1? 2/9 Let t be (70/15)/7*6. Which is the nearest to -1? (a) t (b) 0.1 (c) 2 (d) 5 b Let f be (-4)/(-6)*((-51)/(-15) + -4). Let b be (-1 - -1)/(-1) + -5. What is the nearest to f in b, -0.2, -1/4? -1/4 Let l be 37/3*3 - -2. Let b be (-1)/12*(-104)/l. What is the nearest to 0 in 1/8, -1/2, b? 1/8 Let y = 107 + -104. Let z be (1 - 0) + (-9)/y + 3. What is the nearest to 0 in 3, 1/4, z? 1/4 Let i = -632 - -632.06. What is the closest to 6 in -1/3, i, 2? 2 Let f = -3 + 2. Let j = -388.1 - -388. Which is the nearest to -2? (a) j (b) -1/6 (c) f c Let h = 74 + -69. What is the nearest to 0.2 in 1/3, h, -1? 1/3 Let o = -418 - -417.9. Which is the closest to o? (a) -0.01 (b) 2/5 (c) -0.3 (d) -2 a Let c be (25/(-2))/(1/(-6)). Let m = 98 - c. What is the closest to m in 5, 1/3, 0.3? 5 Suppose 0 = -5*s + 4*s - 1. Let b be s + 185/(-65) + 4. What is the closest to -0.1 in b, 0.3, 0.05? 0.05 Let l(q) = q - 2. Let s be l(1). Let f = -24 + 218/9. Which is the closest to s? (a) -0.2 (b) f (c) -1 c Let f = -194/435 + 4/87. What is the nearest to f in 1, -1/12, 3/4? -1/12 Let n = -2096 + 2091. Which is the closest to 0.1? (a) -21 (b) -1 (c) n b Let x(y) = y**2 - 7*y + 14. Let j be x(4). Let d(q) = q**3 - q**2 - 2*q. Let m be d(j). What is the nearest to m in 5, -1, -1/3? -1/3 Let i = 64 - 62. Which is the nearest to 5/6? (a) 2/15 (b) 1/3 (c) i b Let l = -0.5 - 0.1. Let j = -0.4 + l. Let o be (-15)/25*15/24. Which is the nearest to j? (a) 4 (b) 0.4 (c) o c Let q = -4.944 - 2.056. Which is the closest to 0.1? (a) q (b) 2/5 (c) 4 (d) 0.2 d Let j = -4413 + 286911/65. Let k = -8/13 + j. Let m = -69 + 72. What is the closest to 1/2 in 0.3, k, m? k Let s = -7 - -11. Which is the closest to -1? (a) s (b) 1 (c) -4 b Let v = 0.409 + 2.591. Which is the nearest to v? (a) -4/7 (b) -1/3 (c) 0.2 c Let h = 0.065 + -0.034. Let u = h + 3.969. Which is the nearest to -0.1? (a) 0.4 (b) u (c) 2/3 a Let h = -16282 + 16293.053. Let s = h + -0.053. Let l = 16 - 111/7. What is the closest to -1 in -2/3, l, s? -2/3 Let d = 599.2 + -599. Which is the nearest to d? (a) -0.017 (b) -1/3 (c) 1/12 c Let g = 18.8 + -20.79. Let o = -0.01 + g. Let u = -1319 - -1322. Which is the closest to 1? (a) -0.4 (b) o (c) u a Let d = 1427 - 1454. Let k be (-3)/12 + (-18)/56. What is the nearest to d in -0.3, -0.1, k? k Let d = -30020 + 30013. Let i = 0 + 0. Which is the closest to i? (a) -0.3 (b) 2 (c) d a Let n(s) be the second derivative of s**4/12 + s**3 - 31*s**2/2 - 43*s. Let g be n(-9). Which is the closest to 1? (a) 5 (b) -2/3 (c) g b Suppose 3*p = -4*l - 3 - 17, 5*p = 5*l + 25. Suppose p = 10*z - 9*z - 5. Let r = 2 + -2.2. Which is the nearest to z? (a) 0.5 (b) 1 (c) r b Let j = -0.05 - 0.35. Let l = -97 - -101. Let q = l - 3.8. Which is the nearest to 0.1? (a) j (b) 3/7 (c) q c Let y = -7685/9 + 854. Which is the nearest to -0.2? (a) y (b) -1 (c) 5 (d) 0 d Let r = -179 - -151.1. Let a = r + 28. What is the closest to a in 0.5, 0.3, -6? 0.3 Let d = -0.479 + -0.021. What is the closest to 2 in 5/3, d, -0.05? 5/3 Suppose l = 4, 5*u + 11 = 7*l - 8*l. What is the nearest to -2/7 in 4, u, 0.3? 0.3 Let h = -39.4 + 39. What is the nearest to -0.3 in h, 0, -2/9? -2/9 Let l = 4 - 4.5. Let h = -0.5 - 0.2. Let t = h - -2.7. Which is the nearest to -3? (a) t (b) 2/5 (c) l c Let g be (4 + -13)*(-2 - 21/(-9)). Let u = -24 - -25. What is the nearest to 2/5 in 0.2, u, g? 0.2 Let c = -42 - -35. Let l = c - -3. What is the closest to 0.1 in -1, 4, l? -1 Let w(b) = -8*b - 155. Let k be w(-19). What is the nearest to -1 in -4, 7, -2, k? -2 Let b be (-2)/(-4)*(-14)/(-21). Let c be 26/30 - 115/69. What is the nearest to b in c, 2/3, 0.2? 0.2 Let w = -3.53 - -1.53. What is the nearest to 4 in 3, w, -0.1? 3 Suppose -4*h + h - 35 = -4*s, -4*s + 30 = -2*h. What is the nearest to 1 in -13, s, 0, 2/5? 2/5 Let s = -30.27 + 42.4. Let l = s + -0.13. Let u = 13 - l. What is the nearest to u in -3/2, 0.4, 2? 0.4 Let l = 198 + -141. Let o = -57.3 + l. What is the closest to -1/8 in 1, o, -0.1? -0.1 Let v = 0.235 - 0.135. Suppose 0 = 2*c + 3*c - 5. What is the closest to c in v, 5/4, 2/9? 5/4 Let m = -0.037 + 0.137. Let x be (1*-2 - -3)/(-1). Which is the nearest to x? (a) 0.04 (b) -1 (c) m b Let m = -26 - -32. Let z be m/33 + (-262)/(-11). Let n = -28 + z. Which is the closest to -0.03? (a) -1 (b) n (c) -0.2 c Let l be ((-24)/(-6))/(12/15). Let q = -88 - -790/9. Which is the closest to q? (a) 2 (b) l (c) -2 c Let u = -2.3 - -2.1. Let q = u + 2.2. Let l = 24 - 24. Which is the nearest to l? (a) q (b) -3 (c) 3/7 c Suppose -j - 6 = -4*u, 3*j + u - 4 + 9 = 0. Let y be (3/2)/(30/(-80)). Which is the closest to -1/3? (a) j (b) 0.2 (c) y b Let z = -0.2004 + 0.0004. Let n = 1093/15 - 73. What is the closest to -0.1 in z, 0.5, n? n Let w = -281.9 + 249. Let j = w + 33. What is the nearest to 0.1 in j, 2, -0.3? j Let m = 182.5 + -198.5. Which is the nearest to 43? (a) m (b) -2 (c) -1/4 c Let z = -0.8 - -0.86. Let i be (33/55)/((-27)/30). What is the closest to z in i, -2/11, 4? -2/11 Let b(i) = i. Let s be b(1). Let t = 5 - s. Suppose -n - 9 = -t. What is the nearest to -2/5 in n, 3, -3? -3 Suppose 396 = 9*y - 6*y. Let s = -1055/8 + y. Let d = 4 + -3. What is the closest to -3/4 in -1, s, d? -1 Let w be 444/(-111)*(-1 - 269/(-4)). What is the closest to 0 in -3, 2, w? 2 Let u = -0.399 - -0.399. Which is the nearest to 2/5? (a) -3 (b) -4/7 (c) u (d) 2/5 d Let n = 4.179 - -0.321. What is the closest to -1/4 in n, 5, 0? 0 Let d = 29/6 + -13/3. Let p = 5.7 - 6. Let l = -35 + 32. What is the closest to d in p, 2, l? p Let s be ((-5)/((-20)/(-6)))/((-14)/28). What is the nearest to -0.1 in -3, 0, -1, s? 0 Let m = 287.6 - 288. What is the nearest to -7 in -2/3, 6, m? -2/3 Let m = -1021.5 - -1022. What is the closest to -2 in m, 4, 2/9, -10? 2/9 Let h = 0.25 + -0.1. Let q = 0.45 - h. What is the closest to -2/5 in 0.2, 1/4, q? 0.2 Let n(p) = -2*p**2 + 15*p - 14. Let d(j) = 5*j - 29. Let g be d(7). Let h be n(g). Let o = 7/9 + -2/3. What is the closest to -2/5 in o, h, -3? o Let d = -0.979 + -0.021. Which is the closest to -0.2? (a) 1 (b) -1/7 (c) d b Let z = 42.1 - 43.7. What is the nearest to z in 4, -31, 3, -2? -2 Let f = 46.956 + 0.044. Let m = f + -47.1. What is the closest to 0 in 6, m, -3/2? m Let j be 24/16*20/3. Let f(n) = -2*n + 3. Let p be f(-5). Let y = p - j. Which is the nearest to -2? (a) 1 (b) 3/8 (c) y b Let b = -31.29 + 0.29. Let o = b + 1. What is the closest to 0 in o, -0.1, -0.4? -0.1 Let u = -1106.09 - -1106. What is the closest to -1/2 in -2/7, u, -7, -4? -2/7 Let g = 381 + -382. Let m be -3 + 2 - (-5)/3. What is the nearest to m in -4/3, g, -0.1? -0.1 Let u = -2.54 + -129.46. Let x = 128 + u. Which is the closest to 1? (a) x (b) 0.4 (c) -0.2 b Let z = -161 + 165. Which is the closest to -6? (a) 0.5 (b) 0.3 (c) z b Let p = -0.6 + 0.52. Let m = 289.9 + -290. Which is the closest to m? (a) p (b) -1/7 (c) -2/7 a Suppose 0 = -4*y + k - 28, -2 = -y + 2*y + k. Let f be (6/8)/(-3 - y). Which is the nearest to 3? (a) -1/2 (b) f (c) 3/2 c Let x = 2.157 - 2.457. What is the closest to 1 in -2/7, x, -45/4? -2/7 Let i = -14.06 - -14.16. What is the closest to 2 in 1, -12/7, i? 1 Let q = -3802/5 + 760. Which is the nearest to 7? (a) q (b) 0.1 (c) -0.2 b Let n = -8.81 + 4.75. Let d = 0.06 + n. Let f = -0.025 - -0.025. Which is the closest to f? (a) -2/7 (b) 1 (c) d a Suppose -3*x - 24 = -x. Let i be (10/(-35))/(x/21). Which is the nearest to i? (a) -0.4 (b) 0.4 (c) 0.2 b Let w = 1.25 + 0.11. Let b = 0.36 - w. What is the nearest to b in -0.3, 0, 2/15? -0.3 Let y = 9.148 - 8.148. Let x = 0 + 0.3. Which is the nearest to y? (a) 6/5 (b) x (c) -0.2 a Let s be (-1)/(-3) + 517/33 + -12. What is the closest to -0.2 in -0.6, 0.5, s, -2? -0.6 Let d be (-4)/1 - 0 - (-8)/3. Let b be 136/(-221)*(-2)/8. What is the nearest to 0 in b, d, -0.4? b Let d = 1.89 - 1.39. Let t be (3/(-4))/(-1 + 7). Which is the nearest to -23? (a) -5 (b) d (c) t a Let l = -0.444 + 0.644. What is the closest to -2/3 in -3/7, l, 2/15? -3/7 Let d(q) = -q**3 + 9*q**2 - 6*q - 17. Let t = 9 +
{ "pile_set_name": "DM Mathematics" }
ffdffffg. 9/40 Three letters picked without replacement from {f: 1, v: 1, u: 6, m: 2, a: 5}. Give prob of picking 2 m and 1 u. 6/455 Calculate prob of picking 2 o and 1 n when three letters picked without replacement from {l: 4, o: 10, h: 1, n: 5}. 15/76 Two letters picked without replacement from {c: 18, q: 1}. Give prob of picking 2 c. 17/19 Two letters picked without replacement from sckkikkkibikscq. What is prob of picking 1 q and 1 c? 2/105 Two letters picked without replacement from aoaiaiiaiji. What is prob of picking 1 j and 1 i? 1/11 Three letters picked without replacement from {l: 9, h: 2, p: 2}. What is prob of picking 3 h? 0 Calculate prob of picking 3 v and 1 k when four letters picked without replacement from {k: 10, v: 9}. 70/323 Two letters picked without replacement from {b: 3, g: 2, n: 7, y: 2, i: 3, w: 1}. What is prob of picking 1 g and 1 n? 14/153 Calculate prob of picking 1 b and 2 l when three letters picked without replacement from bbblhbhl. 1/14 Three letters picked without replacement from iiziz. What is prob of picking 1 i and 2 z? 3/10 Calculate prob of picking 1 g and 1 t when two letters picked without replacement from {t: 2, g: 2}. 2/3 Two letters picked without replacement from dpqqkpqkkpkqbkkpdqqq. Give prob of picking 1 p and 1 k. 12/95 What is prob of picking 2 w and 2 r when four letters picked without replacement from rwrrww? 3/5 Calculate prob of picking 2 h and 2 e when four letters picked without replacement from {e: 6, h: 4}. 3/7 Four letters picked without replacement from tmmihtpppp. What is prob of picking 1 p, 1 i, 1 m, and 1 h? 4/105 What is prob of picking 3 s and 1 q when four letters picked without replacement from sqwsssswsssqswswsww? 55/646 What is prob of picking 1 q and 2 t when three letters picked without replacement from rtitiirqjjrttxj? 6/455 Two letters picked without replacement from jjjbbjjbjjjjjjj. What is prob of picking 2 j? 22/35 Calculate prob of picking 2 m and 1 w when three letters picked without replacement from wmmmmmmmwmmwmmmwwww. 154/323 Two letters picked without replacement from {o: 1, v: 2, z: 4, g: 3, m: 6}. What is prob of picking 1 m and 1 o? 1/20 Four letters picked without replacement from pwwpwwwwwwwwpwwpwwp. Give prob of picking 3 p and 1 w. 35/969 Calculate prob of picking 2 o when two letters picked without replacement from {p: 1, x: 1, o: 2, w: 4, j: 2}. 1/45 What is prob of picking 2 t and 2 r when four letters picked without replacement from {t: 7, r: 9}? 27/65 Two letters picked without replacement from hvmzocv. What is prob of picking 1 v and 1 z? 2/21 Two letters picked without replacement from ppppfppfpfffppqfpp. What is prob of picking 1 q and 1 f? 2/51 What is prob of picking 1 z and 2 f when three letters picked without replacement from {z: 9, f: 2}? 3/55 What is prob of picking 1 q and 2 o when three letters picked without replacement from nqonqnnoqqqqqo? 3/52 Calculate prob of picking 2 j and 1 v when three letters picked without replacement from {v: 5, e: 2, j: 7}. 15/52 Two letters picked without replacement from {l: 5, j: 3, a: 1}. What is prob of picking 1 l and 1 a? 5/36 Calculate prob of picking 1 n and 1 l when two letters picked without replacement from mmullbultunb. 1/22 Three letters picked without replacement from {a: 4, l: 6}. What is prob of picking 3 l? 1/6 Calculate prob of picking 1 z and 1 c when two letters picked without replacement from zgcvooic. 1/14 Calculate prob of picking 3 n when three letters picked without replacement from aaanaaan. 0 What is prob of picking 2 p and 1 q when three letters picked without replacement from pppqppqppppqppqppp? 91/204 Four letters picked without replacement from rlihiihirlliirm. What is prob of picking 1 m and 3 i? 4/273 Three letters picked without replacement from {b: 1, g: 1, w: 4, d: 3, t: 5, l: 6}. What is prob of picking 1 l and 2 t? 1/19 Two letters picked without replacement from {k: 7, u: 5}. Give prob of picking 2 u. 5/33 Three letters picked without replacement from clppuupguuuul. What is prob of picking 1 c, 1 l, and 1 g? 1/143 What is prob of picking 4 l when four letters picked without replacement from lllllll? 1 Two letters picked without replacement from uuuyuyjyuuuyyyyuyuuu. Give prob of picking 2 u. 11/38 What is prob of picking 1 r and 3 w when four letters picked without replacement from wwawwwarwwwjmwhhwmh? 10/323 Two letters picked without replacement from {f: 4, a: 7, r: 3, g: 4}. Give prob of picking 2 r. 1/51 Calculate prob of picking 1 k and 1 b when two letters picked without replacement from {k: 1, f: 4, d: 2, r: 7, b: 2}. 1/60 Two letters picked without replacement from nzzpdnnnznip. What is prob of picking 1 z and 1 d? 1/22 What is prob of picking 2 u and 2 h when four letters picked without replacement from {u: 2, g: 1, h: 2}? 1/5 What is prob of picking 1 j, 1 g, and 1 n when three letters picked without replacement from tjjjojgnnjggf? 15/143 Four letters picked without replacement from {u: 11, b: 3}. What is prob of picking 1 b and 3 u? 45/91 Calculate prob of picking 1 w, 1 r, and 1 j when three letters picked without replacement from rrwajrjrjjrj. 5/44 What is prob of picking 2 n when two letters picked without replacement from {b: 3, n: 4, j: 7}? 6/91 Calculate prob of picking 2 l, 1 z, and 1 t when four letters picked without replacement from {z: 1, t: 2, l: 2}. 2/5 Calculate prob of picking 2 z when two letters picked without replacement from {v: 1, z: 8, y: 6}. 4/15 Four letters picked without replacement from {x: 4, n: 1, e: 2, j: 12}. What is prob of picking 3 j and 1 e? 110/969 Three letters picked without replacement from efeqgfefeffgfgqgm. Give prob of picking 1 e, 1 g, and 1 f. 12/85 Two letters picked without replacement from {t: 1, d: 1, z: 1}. Give prob of picking 1 z and 1 t. 1/3 What is prob of picking 1 b and 2 z when three letters picked without replacement from aaaffaaafaffabazbfl? 0 Calculate prob of picking 1 o and 1 w when two letters picked without replacement from {o: 2, s: 2, l: 1, u: 1, w: 1}. 2/21 Two letters picked without replacement from {c: 3, t: 1, h: 1, e: 2, b: 8, p: 1}. What is prob of picking 1 c and 1 p? 1/40 What is prob of picking 1 s, 1 g, and 1 w when three letters picked without replacement from {g: 2, s: 3, w: 4}? 2/7 What is prob of picking 1 c, 1 o, and 1 y when three letters picked without replacement from yyyooccoywo? 32/165 Calculate prob of picking 2 c and 1 n when three letters picked without replacement from nuncpzc. 2/35 Three letters picked without replacement from {i: 1, d: 4, a: 1, r: 5, w: 3}. What is prob of picking 2 r and 1 d? 10/91 What is prob of picking 1 t, 1 x, and 1 d when three letters picked without replacement from {t: 1, y: 3, e: 1, x: 1, d: 2, f: 4}? 1/110 Four letters picked without replacement from {q: 9, m: 2}. Give prob of picking 1 m and 3 q. 28/55 Calculate prob of picking 2 a when two letters picked without replacement from {z: 2, n: 2, o: 2, a: 2, b: 3, c: 1}. 1/66 Calculate prob of picking 1 y and 1 f when two letters picked without replacement from {y: 5, n: 3, f: 2}. 2/9 What is prob of picking 2 j and 1 s when three letters picked without replacement from smfjsfffffsffffffjf? 1/323 Four letters picked without replacement from {c: 6, t: 4}. Give prob of picking 2 t and 2 c. 3/7 Calculate prob of picking 2 r when two letters picked without replacement from {a: 3, z: 7, l: 1, r: 3, i: 2, m: 1}. 3/136 Two letters picked without replacement from {v: 2, w: 4, q: 2}. What is prob of picking 1 v and 1 q? 1/7 Four letters picked without replacement from ddscdcccdzdddcbuu. What is prob of picking 1 z, 2 u, and 1 b? 1/2380 Two letters picked without replacement from kvkrkrkvvrrvkv. What is prob of picking 2 k? 10/91 Calculate prob of picking 3 z when three letters picked without replacement from zozdzzoodzozz. 35/286 What is prob of picking 1 b and 1 g when two letters picked without replacement from zgglbz? 2/15 Four letters picked without replacement from caccaaaaca. What is prob of picking 4 a? 1/14 Calculate prob of picking 2 y when two letters picked without replacement from {j: 2, y: 2}. 1/6 Four letters picked without replacement from {b: 8, o: 8, y: 1, z: 1, j: 2}. Give prob o
{ "pile_set_name": "DM Mathematics" }
t/1 - (-145)/6 and -17/40. 120 Let x = -248 + 266. Let o(k) = -k**3 + 2*k**2 + 5*k - 2. Let m be o(3). Calculate the least common multiple of x and m/(-2) + -2 + 20. 144 Let k = -669/25 - -4853/300. Find the common denominator of -1 + (-5)/15 + (-247)/(-156) and k. 12 Suppose 4*z + 20 = 4*i, -5*i + 6*z - 10*z + 16 = 0. Calculate the least common multiple of i and 8. 8 Let j be 6792/(-80) + (-5)/(25/(-2)). Let r = -41 - j. Find the common denominator of -14*(2 - (-57)/(-18)) and r. 6 Let g(a) = -a - 7. Let k(v) = v**3 + 3*v**2 - 1. Calculate the least common multiple of g(-32) and k(-1). 25 Let y = -34 + 54. What is the lowest common multiple of 36 and y? 180 Let l = 1788 - 57271/32. Find the common denominator of l and 5/144. 288 Let u(q) = -4*q - 3. Let d(g) = 1. Let k(i) = 4*d(i) + u(i). Let v be k(-1). Let a(c) = -2*c**2 + 2. Find the common denominator of -91/4 and a(v). 4 Find the common denominator of 10*(-4 + 222/56) and 91/8. 56 What is the common denominator of 183/(-9)*6/(-4)*-1 and 31/2? 2 Let c be (-10)/8*20/(-1). Suppose 2*l + 37 = -n + 3*l, -5*l - c = 0. What is the common denominator of 240/n - 2/4 and 37/16? 112 Suppose -8*l + 5*l + 24 = 0. Suppose -l*g - 162 = -17*g. Calculate the smallest common multiple of 14 and g. 126 Suppose 2*d - 33*d + 217 = 0. What is the lowest common multiple of d and 21? 21 Calculate the common denominator of ((-4893)/(-2646) - 2/4) + -2 and 37/24. 504 Suppose -d = -0*d + 655. Let h = -1895/3 - d. Calculate the common denominator of 0 and h. 3 Let r = 4211/7 + -600. Find the common denominator of 61/9 and r. 63 Suppose 102*m - 110*m = -16. Let q(a) = a**2 + a. Let v be q(-3). Suppose -10 = j - v*j. What is the least common multiple of j and m? 2 Let p = 4745 + -151819/32. Calculate the common denominator of -131/36 and p. 288 Calculate the common denominator of -47/6 and 10/(-4)*6/40. 24 Let g(l) = 4*l - 1. Let h be g(-1). Suppose 4*o = 5*o - 8. What is the smallest common multiple of (-10)/25 + (-32)/h and o? 24 Calculate the common denominator of (6/(-4))/((-6)/(-138)) and (-759)/(-55)*(-2)/(-4). 10 Let a = 28504804 + -49151489147689/1724323. Let m = a - -50889944663/20691876. Let x = -2463 + m. Calculate the common denominator of x and -101/22. 132 Let b be (-1 + -41)/(8/(80/15)). What is the common denominator of (16/b)/(45/(-147)) and 45/11? 165 Let h = -140 - -188. What is the smallest common multiple of h and 42? 336 Suppose 11 = 6*l - 25. Calculate the smallest common multiple of 22 and (-4)/(-12) - (-58)/l. 110 Suppose -q + 2*o = 60, 0*o = q + 3*o + 70. Let g be (q/(-10))/((-1)/(-5)). Calculate the common denominator of -8/17 and 2 + (-108)/g + 0. 136 Let n(h) = h + 6. Calculate the lowest common multiple of 16 and n(48). 432 Let w be 0/(-2 - (-2 - 2)). Suppose w = 3*p + 5*i - 77, 20 = -0*i - 4*i. What is the lowest common multiple of 8 and p? 136 Let g be 1*(-2 - (-1 + -1)). Let m be (g - 341) + (-18)/(-6). Let s = m - -731/2. Calculate the common denominator of -93/20 and s. 20 Let l = 16341/1358 - 165/14. What is the common denominator of -13/4 and l? 388 Let p(k) = k**3 + 4*k**2 + 4*k + 4. Let w = 17 - 20. Let i be p(w). What is the common denominator of 3*i + 189/112 and 23/22? 176 Let a = 571531211/24 + -23808582. Let m = a - 5221. What is the common denominator of 19/30 and m? 120 Let c(y) = 3*y**2 - y. Let n be c(2). Calculate the smallest common multiple of 36/n - -5*16/200 and 229. 916 Let g = 9 + -9. Let c(p) = p**3 - p - 2. Let l be c(g). Calculate the least common multiple of (10/(-4))/(l/8) and 2. 10 Let v be ((-6)/(-9))/(4/(-138)). Let t = -20 - v. Suppose 0*u = -2*u + 58. What is the smallest common multiple of u and t? 87 Let y = 9 - -5. Suppose 10*m + 40 = y*m. Calculate the smallest common multiple of (-8)/(-6) + (-4)/(-6) and m. 10 Calculate the least common multiple of (-3)/4 + 295/4 + -1 and 228. 1368 Let u = -613 - -614. What is the least common multiple of 488 and u? 488 Suppose 0 = -0*k - 5*k - 120. Suppose 2*p + 2 = 0, 2*h - 63 = 4*p - 3*p. Let t = h + k. What is the least common multiple of t and 2? 14 Suppose -3*w - 2*x = -206, w = -21*x + 22*x + 62. Calculate the lowest common multiple of 9 and w. 198 What is the lowest common multiple of 30 and (22 - 2)*(11 - 6 - 1)? 240 Let l be 4510/45 + 4/(-54)*3. What is the smallest common multiple of (l + 4)/4 - 3 and 5? 115 Let j = -1941/16 - -483/4. Find the common denominator of j and -81/68. 272 Suppose -11 = -4*q + p, p + 2*p = -9. Suppose 0*x - x = 2, q*c = -5*x - 9470. Let d = 28283/6 + c. Calculate the common denominator of d and 37/4. 12 Let m = -2732 - -270584/99. Let t be (-18)/(-30) + (-60394)/(-13860). Let q = m - t. Calculate the common denominator of q and 97/18. 126 Suppose -n = -2*n. What is the lowest common multiple of (-9 + n)/((-42)/28) and 20? 60 Let b(x) = -81*x + 571. Calculate the lowest common multiple of (-60)/(-14) - 4/14 and b(7). 4 Let s be (-8256)/60 - 4/10. Calculate the common denominator of s/72*6/8 and 85/2. 16 Let r = 44 + -72. Let j be -8*r/48*3. Suppose -4*u + 3*u + j = 0. What is the least common multiple of 6 and u? 42 Let i = 124759 + -1498669/12. Let d = i + 448/3. Find the common denominator of -43/4 and d. 4 What is the lowest common multiple of 9 and 75 - (0/21)/(0 + -1)? 225 Let h(m) = 4*m**2 - 20. What is the lowest common multiple of h(-9) and 76? 304 Let m(d) = -d**3 - 10*d**2 + 7*d - 9. What is the least common multiple of m(-11) and 35? 35 Suppose -11 = -5*g + 29. Suppose -8*n + 4*n = 144. What is the least common multiple of n/g*(-8)/6 and 8? 24 Suppose 2*u + 12 = 92. Suppose n + 65 = -n + w, -3*w + u = -n. Find the common denominator of 101/6 and n. 6 Let y = 40 + -15. Suppose 3*o = y + 17. Calculate the least common multiple of 1*(22 - (-2)/(-1)) and o. 140 Suppose u + 25 = 6*u. Suppose -u = -f + 4*c, -5*f - 8 = -c + 5. What is the least common multiple of 2 + (5 + f - -7) and 2? 22 Let q be (-107)/4 - (-22)/(-88). Calculate the lowest common multiple of 10 and ((-10)/15)/(3/q). 30 Let b(w) = w**3 - 8*w**2 - 3*w + 34. What is the lowest common multiple of b(8) and 100? 100 Let p(n) = -n**2 - 7*n + 14. What is the lowest common multiple of (2/6)/(25/1350) and p(-7)? 126 Let d = -33434/9051 - -3/862. Find the common denominator of d and 169/126. 126 Let a = 1/4413 - 119171/88260. What is the common denominator of a and 67/56? 280 Let a = -31478/15 - -2104. Calculate the common denominator of a and 64/95. 285 Suppose -m - 8 = -2*c + 3*m, 62 = 3*c + 4*m. Let u = -1 + 9. What is the least common multiple of u and c? 56 Suppose 5*b - 20 = 0, 2*b = -k - 3*b + 23. Suppose -k*t - 2*d = -36, -t - 15 = -4*t + 5*d. Calculate the common denominator of -23/14 and (-5)/14*142/t. 14 Let q = 29 + -29. Suppose q = -2*m - 7 + 11. Calculate the least common multiple of ((-3)/m)/(2/(-4)) and 6. 6 Let n = -4511913/12764756 - -2/110041. Let g = 4791/728 + 51/104. Calculate the common denominator of g and n. 812 Find the common denominator of -25/202 and 42/8*-27*1/14. 808 Let b = -57037/11 - -5181. What is the common denominator of ((-2)/(-4))/(10/(-98)) and b? 110 Suppose 9 = 5*m - 2*m. Suppose -5*r + 0*g - m*g - 7 = 0, -5*r - 5*g = 15. Calculate the least common multiple of r and 10. 10 Calculate the common denominator of -14/15 and ((-357)/(-90))/(25/(-15)). 150 Suppose 4*n = -138 + 1370. Calculate the smallest common multiple of 20 and n. 1540 Let f = 14073/28 + -3013/6. Find the common denominator of f and -34/9. 252 Let p be (-115 + -6)/(-2 - 30678/(-2253)). Let z = -1/2181 + p. Find the common denominator of z and -58/33. 132 What is the common denominator of (45*(-4)/448)/(9/(-60)) and 47/10? 140 What is the common denominator of 23/132 and (0 - 2)*1 - 21/154? 132 Let i = -35 - -24. What is the common denominator of 0 - ((-12)/i - -3) and 5/3? 33 Let h be 4/((-1236)/465) - -1. Let q = h - -35227/206. Let u = -1903/12 + q. Find the common denominator of u and 81/16. 48 Let v = 235 + -11977/51. What is the common denominator of v and (-1)/(-3) - (-58)/39? 663 Let d be 24/(-18) - 228/(-9). Suppose -4 = 5*t - d. Calculate the least common multiple of 36 and t. 36 Let m be 18/(-45) + (-54)/(-10). Suppose 7 = 2*v - z, 0 = 4*v - m*z + 2*z - 17. Calculate the lowest common multiple of (
{ "pile_set_name": "DM Mathematics" }
- 4 - 2)*(-4 + 5 - 2) + 6 - 1 - 1)*(1 - 1 - o) in the form l + x*o and give l. 0 Rearrange 2 - m**3 - 1 + 2*m**3 + 3*m + 1 to the form f + j*m**2 + s*m**3 + t*m and give s. 1 Rearrange 2*g**2 - 3*g**3 + 11*g**3 + 0*g**3 to the form y + n*g**3 + i*g + m*g**2 and give m. 2 Rearrange 7*v**3 + v**2 - 3 - v**2 + 2*v**4 + 5 to r + d*v + q*v**3 + i*v**4 + o*v**2 and give i. 2 Rearrange (0 + 2*l + 0)*(0 + 3 + 0)*(-2 + 0 + 1)*(0*l + 2*l + l) to the form c*l + q + u*l**2 and give u. -18 Rearrange -i - 4*i - 2*i**3 - 6 + 3 to the form k*i**3 + d + s*i + n*i**2 and give d. -3 Express (u**2 - 6*u**2 + 2*u**2)*(4*u - 4*u - u)*(-3*u + 5*u - 9*u) - 5*u**4 + 3*u**4 + 4*u**4 in the form t*u**4 + x*u**2 + c*u + n*u**3 + m and give t. -19 Rearrange (2 - 3 - 2)*(0*s - 5*s + 9 - 1) to d*s + g and give d. 15 Express -14*m + 6*m**2 + 14*m as r*m**2 + h + f*m and give f. 0 Express 41*o + 56*o + 4*o - 21*o as k*o + f and give k. 80 Rearrange (18*i**2 + 0*i**2 - 4*i**2)*(-3 - 5 - 6) to r*i**2 + x*i + u and give r. -196 Rearrange (-3*c**3 - 2*c + 2*c)*(11*c + 4*c - 3*c + (3 - 4 + 2)*(3*c + 3*c - 5*c)) to the form u*c**2 + o*c + y*c**4 + n*c**3 + h and give h. 0 Rearrange (-5 + 5 + 4*r + 3*r + 2*r - 2*r + (-r - r + 4*r)*(-3 + 1 + 3))*(3*r**2 + 3 - 3) to x + b*r**2 + d*r**3 + f*r and give f. 0 Express 7*o**3 - o**2 - 6*o**3 + 0*o**3 + 4*o**4 - 2*o**2 + o in the form i*o**2 + s + q*o + c*o**3 + d*o**4 and give d. 4 Express 3*x**3 - 3*x**3 - x**4 + (-4*x**2 + 4*x**2 - x**3)*(-2*x - 3 + 3) + x**4 + 3*x**4 + 4*x**4 as m*x**2 + h*x**3 + r*x + k*x**4 + v and give k. 9 Rearrange 4 + 120*l - 230*l + 116*l to h + y*l and give y. 6 Rearrange -14*h + 2*h - 8*h to o*h + z and give o. -20 Express ((-2 - 1 + 1)*(-2*u + 2*u - u) - 5*u - 21*u + 11*u)*(0 + 0 + 1) as v + w*u and give w. -13 Express 26*d**2 - 3*d + 108*d**2 + 3*d in the form p + f*d + g*d**2 and give p. 0 Rearrange y + 0*y - 3*y - 86*y + 42*y + 34*y + (-1 + 0 - 1)*(4*y - 4*y - 2*y) to the form p + n*y and give n. -8 Express -o + 3 - 6*o + 8*o in the form f + a*o and give a. 1 Rearrange ((-p + 0*p + 3*p)*(1 - 1 - p**2) - 2 - 5*p**3 + 3*p**3 - 9*p**3)*(3*p - 2*p - 2*p) to n*p**4 + z + a*p**3 + j*p**2 + r*p and give n. 13 Express -3 + 2*v + v**2 + v**2 - 8*v**4 + 11 + 9*v**4 in the form j*v**2 + t*v**4 + o*v**3 + k*v + a and give t. 1 Rearrange (5*v**3 - 2*v**3 - v**3)*(-13*v - 24*v - 8*v) to the form c*v**4 + m + i*v**3 + l*v + n*v**2 and give c. -90 Express 6*z**2 - 2*z**3 + 0*z**3 - z**4 - 5*z**2 as i*z**3 + h*z**2 + t + g*z**4 + b*z and give h. 1 Express (1 - 2 + 4)*(-25 - 9*h + 25 - 87*h) in the form n + l*h and give l. -288 Rearrange 3 + 19*a**2 - 21*a**2 + 0 to r*a**2 + c + x*a and give x. 0 Express (2 + 0 + 1 + (-1 + 2 + 0)*(-1 + 4 - 1))*(3*w + 5*w - 4*w)*(-1 - 2 + 2) in the form d + g*w and give g. -20 Express (-3*u**4 - 6*u**4 + 2*u**4)*(-4 + 2 - 2) as i*u**2 + r*u**3 + y*u + g + b*u**4 and give g. 0 Express 20*g**3 - 27*g**3 - 23*g**3 - 2*g as c*g**3 + v*g**2 + f*g + r and give c. -30 Rearrange 17*v**2 - 2 + 0*v - 16*v**2 - 3*v + (0*v - v - 2*v)*(3*v - v - 3*v) - 2*v**2 + v**2 + 3*v**2 to the form s*v**2 + q + n*v and give q. -2 Rearrange -3*w**3 - 4 - w - 3 + 9 - 1 to j*w**3 + u*w**2 + r*w + m and give r. -1 Express 4*s**4 - 5*s**4 + 3*s**2 - 5*s**3 + s**2 + 2*s**4 in the form w + r*s**2 + p*s + z*s**3 + t*s**4 and give p. 0 Rearrange (-113*l + 212 - 212)*(3 - 6 + 0) to the form j*l + m and give j. 339 Express (-1 - 3 + 0)*(-2 + 2 + 3*n)*(13 - 35 + 8) in the form b*n + s and give b. 168 Rearrange 42*d**2 - 23*d**2 - 10 - 23*d**2 to the form x*d**2 + y + b*d and give y. -10 Rearrange 2 + 6*x - 3 - 1 to the form a*x + p and give a. 6 Express b**2 + b - 2*b**3 + b**4 - 27 + 12 + 17 + b**2 as f*b + n*b**3 + y*b**2 + k + a*b**4 and give f. 1 Rearrange 2*t + 7 + t**3 - 7 + 0*t**3 + 26*t**2 to the form r*t**3 + n*t + q*t**2 + d and give n. 2 Rearrange 2*g - 3*g**2 + 13 + 10 - 29 + 5 to the form h*g + p + s*g**2 and give p. -1 Rearrange 6*v + 2*v**2 - 14*v - 7*v to t*v + x + l*v**2 and give t. -15 Rearrange -8*g - 7*g - 23*g + 4*g to r*g + s and give r. -34 Express (0*s + 2*s**2 + 0*s)*(-s - 117 + 238 - 105) as n*s + h*s**2 + q*s**3 + p and give h. 32 Express 0*f + 2*f**2 + 0*f + (4*f - 4*f - f)*(1 - 1 + f) in the form v + m*f**2 + c*f and give m. 1 Express -5*l**4 - 2*l + 4 + 9*l**4 + 5 - 2*l**4 as a + p*l**3 + b*l + n*l**2 + u*l**4 and give a. 9 Express -22*r**3 + 8*r**2 + 11*r**3 + 12*r**3 in the form h*r**3 + j*r**2 + t + m*r and give h. 1 Express (-1 + 4*o**2 - o**2 - 1)*(0 + 1 + 0) as t*o + a*o**2 + v and give v. -2 Express 13 - 27*b - 1 + 51*b - 29*b as o + w*b and give o. 12 Express (-8*g + 8*g + 10*g**2)*(2*g**2 + 2*g**2 - 3*g**2) - 4*g**2 + 4*g**2 + g**4 as t*g**3 + i*g**4 + m*g**2 + h + j*g and give i. 11 Rearrange (1 + 2 + 2*l**2 - 1 - 2*l)*(-8*l + 2*l + 11*l) to the form d*l**3 + o + p*l**2 + u*l and give d. 10 Express 3*j**2 - 13*j**4 - 3*j**3 - 8*j**2 + 4*j**3 - 2*j + 14*j**4 as i*j + c + b*j**3 + s*j**4 + w*j**2 and give w. -5 Rearrange -2*l + 3*l + 62 + 2*l**2 - 58 + l to f*l**2 + r*l + i and give f. 2 Express -2*q**3 + 0*q**2 + 25*q + 3 - 21*q + 0*q**2 in the form g*q**2 + s*q + u*q**3 + r and give s. 4 Rearrange 16*m**2 + 4*m**2 + 3*m**2 to a*m + b + y*m**2 and give y. 23 Rearrange 9*o + o + 10*o + 3*o to the form x + a*o and give x. 0 Express 2*i**2 + 5*i**3 - 2*i - i**3 + 5*i**2 - 4*i**2 as a*i**2 + u*i + l + g*i**3 and give g. 4 Express (4*d - d - 4*d)*(-62 + 62 - 6*d**2) + 27*d**3 + 286*d**2 - 286*d**2 in the form g + o*d**2 + l*d**3 + t*d and give l. 33 Rearrange (-4*k + 5*k - 3*k)*(3 + 3 - 4) + 4*k - 3*k + 0*k + 7*k + 2*k + 3*k to the form t*k + r and give t. 9 Express 0*m**4 + 7*m**4 + 2 + 2*m**3 - 5 - 4*m**4 as u*m + g*m**4 + q*m**2 + a*m**3 + w and give g. 3 Express -2*z**2 - 6*z + 5 - 5 + z**2 in the form y*z**2 + r*z + p and give y. -1 Express (-a + 0*a + 7*a)*(-7*a - 2*a + a) as c*a + j + w*a**2 and give w. -48 Express -4*z + 28*z + 8*z as g + f*z and give f. 32 Rearrange 0*r + 7*r - 2*r + 5*r to the form w + g*r and give g. 10 Rearrange 5*i**2 + i**2 + 7*i**2 to t*i**2 + b*i + p and give t. 13 Express -256 + 256 + 4*d + 0*d as n*d + h and give n. 4 Express -a**4 + 3 + a**2 - 3*a**2 + 3 - a**3 in the form v + p*a + t*a**2 + d*a**4 + o*a**3 and give v. 6 Express -x**2 + 3*x - 3*x + (-x**2 + x**2 - 2*x**2)*(2 + 1 - 5) + 2*x**2 + 0*x**2 - 4*x**2 in the form i + z*x**2 + w*x and give i. 0 Rearrange -2*c + 8*c + 5*c + 0*c to g + i*c and give i. 11 Rearrange -2*y - 4*y**4 + 3*y**4 - 3*y**3 - y**2 + 5*y**4 - 3*y**4 to i*y + v*y**4 + c*y**3 + j + f*y**2 and give f. -1 Express 3*y - 3*y - y - 6 + y + 6 + (-y - 3*y + 2*y)*(-3 + 1 + 0) - 3 + 3 - 2*y + 2*y - 2*y - y in the form o*y + f and give o. 1 Express 13*o + 3*o**2 + 4 - 2*o**4 - 12*o - 6 in the form a*o**3 + j + x*o**2 + u*o**4 + b*o and give b. 1 Rearrange 2 - 2*f + 39*f**2 - 78*f**2 + f**4 + 39*f**2 - f**3 to v + p*f**2 + q*f**3 + l*f + b*f**4 and give v. 2 Express 0*u**2 + 0*u**2 + 2*u**3 + (-27*u - 33*u + 47*u)*(2*u - u**2 - 2*u) in the form c + r*u**2 + w*u + n*u**3 and give n. 15 Express (0 - 2 - 1)*(34*h**2 - 7*h**2 + 46*h**2) as k*h**2 + p + l*h and give p. 0 Rearrange (t**3 - 2*t**3 + 2*t**3)*(2 - 6 - 3)*(-3*t + t + 0*t)*(-6 + 2 + 2) to v + s*t + l*t**2 + w*t**4 + m*t**3 and give w. -28 Rearrange 5*g**2 - 41*g**2 + 23*g - 24*g to d*g + i*g**2 + w and give i. -36 Express 2*w**4 + 2*w**4 - 5*w**4 + (-w + 2*w + w)*(-3*w**2 - 2*w**3 + 3*w**2) + 3*w**4 - 3*w**4 + 7 - 4*w**4 as a*w**3 + s*w**2 + f + r*w + h*w**4 and give f. 7 Rearrange 7*m - 11*m - 6*m - 7*m to the form f + k*m and give k. -17 Rearrange 6*u - 17*u + 4*u - 7*u to the form r + k*u and give k. -14 Rearrange (9 - 7 + 12)*(-3*h + 3 - 3) to the form r + u*h and give u. -42 Express (63*w**2 - 61*w + 56*w**2 - 117*w**2)*(3 - 1 - 1) in the form x*w + l*w**2 + c and give l. 2 Rearrange -m + 16*m + 3*m to d + v*m and give v. 18 Rearrange 3*t**2 + t**3 - 2 + 3 - 3 to the form g*t + u + j*t**3 + p*t**2 and give j. 1 Express (-2*f + 0*f + f)*(94 - 38*f**3 - 94) in the form x*f**3 + w*f**2 + k*f + r*f**4 + d and give r. 38 Rearrange 34*q + 17*q - 29*q**2 + 31*q**2 to the form r*q + p*q**2 + l and give r. 51 Express -4 + 3 - q**2 + 2 - 3 - 3*q**4 - q in the form x + g*q**3 + f*q**2 + j*q*
{ "pile_set_name": "DM Mathematics" }
ob of sequence eee when three letters picked without replacement from eeeeeeeeee. 1 What is prob of sequence qq when two letters picked without replacement from {q: 7, g: 3, y: 2}? 7/22 What is prob of sequence dwww when four letters picked without replacement from dwdwwwdwwddww? 14/143 Calculate prob of sequence hz when two letters picked without replacement from mzmhh. 1/10 Four letters picked without replacement from {d: 16, s: 2}. Give prob of sequence ssdd. 1/153 Four letters picked without replacement from zsnnnssnncszsksnkp. What is prob of sequence pssk? 1/1224 Four letters picked without replacement from {l: 4, y: 1, d: 1, i: 1, f: 3, a: 2}. Give prob of sequence dlfl. 1/330 Two letters picked without replacement from ggxonvuu. Give prob of sequence vg. 1/28 Two letters picked without replacement from {s: 1, c: 1, o: 1}. What is prob of sequence os? 1/6 Four letters picked without replacement from {n: 5, g: 1, f: 12, r: 1}. Give prob of sequence rngf. 5/7752 Three letters picked without replacement from uwccu. What is prob of sequence uuw? 1/30 Two letters picked without replacement from {y: 3, u: 1}. What is prob of sequence yu? 1/4 What is prob of sequence yy when two letters picked without replacement from {i: 3, y: 2}? 1/10 Calculate prob of sequence hdf when three letters picked without replacement from dhpfu. 1/60 Three letters picked without replacement from oucwcyow. What is prob of sequence uwy? 1/168 Three letters picked without replacement from {m: 1, n: 4, y: 6, r: 2}. Give prob of sequence mrr. 1/858 Two letters picked without replacement from {m: 1, z: 3, r: 1, l: 6, x: 2, g: 2}. Give prob of sequence mx. 1/105 Calculate prob of sequence awaa when four letters picked without replacement from wwwwawaaww. 1/120 What is prob of sequence pn when two letters picked without replacement from pkdpddppndp? 1/22 Three letters picked without replacement from zhhuhpppuzuhz. What is prob of sequence zzz? 1/286 Four letters picked without replacement from ysssnnsssssyiiyssysy. What is prob of sequence ysnn? 11/11628 Four letters picked without replacement from vccccecqcwvvwvwecqvw. Give prob of sequence ecqv. 7/5814 What is prob of sequence hhuu when four letters picked without replacement from uhuhuhuhzz? 1/35 Calculate prob of sequence dwmd when four letters picked without replacement from dddmwmd. 1/35 What is prob of sequence jj when two letters picked without replacement from {j: 2, d: 9}? 1/55 Calculate prob of sequence mec when three letters picked without replacement from {o: 2, e: 3, m: 5, c: 9}. 15/646 What is prob of sequence kbpb when four letters picked without replacement from nbkbkkkpkkkkk? 3/2860 Four letters picked without replacement from uukurukrru. Give prob of sequence kruu. 1/42 Two letters picked without replacement from {i: 15, m: 3}. What is prob of sequence mi? 5/34 What is prob of sequence og when two letters picked without replacement from {g: 7, v: 1, o: 3, m: 6}? 21/272 What is prob of sequence pqq when three letters picked without replacement from ppppqqp? 1/21 What is prob of sequence ywy when three letters picked without replacement from {u: 4, y: 4, w: 3}? 2/55 Four letters picked without replacement from {u: 1, g: 1, x: 11, l: 1, y: 1, v: 3}. Give prob of sequence ylyg. 0 Calculate prob of sequence czdm when four letters picked without replacement from ogzzoogcozodcmz. 1/4095 Three letters picked without replacement from {i: 8, d: 5}. What is prob of sequence dii? 70/429 Calculate prob of sequence hcc when three letters picked without replacement from oghcgococgogoohghog. 1/323 Three letters picked without replacement from {t: 1, k: 1, d: 2, v: 2, g: 2}. Give prob of sequence ddk. 1/168 Calculate prob of sequence ggc when three letters picked without replacement from cgggcg. 1/5 Four letters picked without replacement from {r: 17, q: 3}. What is prob of sequence qrrq? 4/285 Four letters picked without replacement from {o: 1, j: 3, x: 1, u: 3, h: 2, w: 1}. Give prob of sequence huju. 1/220 Two letters picked without replacement from {h: 2, g: 8}. Give prob of sequence hh. 1/45 Two letters picked without replacement from {w: 1, i: 3, b: 2, c: 1}. What is prob of sequence iw? 1/14 What is prob of sequence tt when two letters picked without replacement from tutt? 1/2 Calculate prob of sequence mjq when three letters picked without replacement from mqqmmmjjjiqim. 15/572 What is prob of sequence qv when two letters picked without replacement from {i: 1, v: 1, q: 1}? 1/6 Four letters picked without replacement from pppkbppbpppbpbbk. What is prob of sequence kkbb? 1/1092 What is prob of sequence mi when two letters picked without replacement from {i: 1, j: 2, m: 1, z: 1}? 1/20 What is prob of sequence hu when two letters picked without replacement from {u: 6, z: 3, x: 1, h: 3}? 3/26 Three letters picked without replacement from tllyttt. Give prob of sequence tll. 4/105 Three letters picked without replacement from {x: 3, a: 2, d: 8, f: 3}. What is prob of sequence xdx? 1/70 What is prob of sequence zf when two letters picked without replacement from {z: 2, j: 3, v: 1, f: 2, h: 3, n: 4}? 2/105 Four letters picked without replacement from kmmkkmkmkkomumoopkop. What is prob of sequence kkpk? 7/1938 Calculate prob of sequence uiu when three letters picked without replacement from {a: 4, s: 1, x: 4, w: 2, u: 7, i: 1}. 7/969 Two letters picked without replacement from tytttttttttttyy. Give prob of sequence tt. 22/35 Four letters picked without replacement from {w: 8, i: 11, p: 1}. Give prob of sequence wwip. 77/14535 Four letters picked without replacement from ltthylmdlddh. Give prob of sequence ydht. 1/990 Two letters picked without replacement from {y: 1, s: 3, t: 2, x: 1}. Give prob of sequence ts. 1/7 Calculate prob of sequence uufb when four letters picked without replacement from {v: 1, u: 3, f: 1, i: 3, b: 2}. 1/420 Two letters picked without replacement from vggggvgggvgvevvggg. Give prob of sequence ve. 1/51 What is prob of sequence ffbb when four letters picked without replacement from {x: 2, z: 2, r: 2, b: 5, f: 8}? 35/2907 What is prob of sequence cxx when three letters picked without replacement from {c: 4, x: 2, z: 1, q: 4}? 4/495 Two letters picked without replacement from {k: 3, f: 7}. What is prob of sequence ff? 7/15 Two letters picked without replacement from {e: 1, z: 2, m: 5, a: 4, q: 2}. What is prob of sequence qe? 1/91 Three letters picked without replacement from eevheeeeehev. Give prob of sequence hve. 4/165 Calculate prob of sequence xxx when three letters picked without replacement from xxaxxaxxaxaxax. 3/13 What is prob of sequence yrz when three letters picked without replacement from ykvkykzykryzkzk? 2/455 Three letters picked without replacement from snnsg. Give prob of sequence nsg. 1/15 Four letters picked without replacement from {v: 1, m: 1, p: 2}. What is prob of sequence pmpv? 1/12 What is prob of sequence ycd when three letters picked without replacement from {y: 1, c: 1, d: 2, w: 2}? 1/60 Three letters picked without replacement from wvwowoowwwwwwoowo. What is prob of sequence owo? 5/68 Four letters picked without replacement from {m: 1, q: 1, s: 4, w: 2, j: 2}. What is prob of sequence mqws? 1/630 Two letters picked without replacement from {w: 4, v: 2, b: 1, x: 1}. What is prob of sequence vb? 1/28 Two letters picked without replacement from llollllllzl. What is prob of sequence lo? 9/110 What is prob of sequence wtq when three letters picked without replacement from tzwtbhqw? 1/84 Three letters picked without replacement from {l: 3, g: 9}. Give prob of sequence llg. 9/220 Three letters picked without replacement from rksmr. Give prob of sequence krm. 1/30 Calculate prob of sequence ib when two letters picked without replacement from jffbdfdoijiobf. 2/91 Two letters picked without replacement from {q: 1, g: 2, m: 2, y: 1, h: 1, n: 1}. Give prob of sequence ym. 1/28 What is prob of sequence rrj when three letters picked without replacement from rjrrjjrrjj? 5/36 What is prob of sequence nrrr when four letters picked without replacement from nrrrnnnrrr? 2/21 Three letters picked without replacement from {c: 7, x: 2}. What is prob of sequence ccx? 1/6 What is prob of seque
{ "pile_set_name": "DM Mathematics" }
60 and 124009920? 160 Calculate the greatest common divisor of 153956835 and 540. 135 What is the highest common divisor of 4064501 and 35767? 761 Calculate the greatest common divisor of 324820 and 260. 20 Calculate the highest common factor of 2857602 and 462. 66 Calculate the highest common divisor of 32223682 and 742. 106 Calculate the highest common divisor of 82857 and 2123940. 1167 What is the highest common divisor of 5735448 and 69642? 954 Calculate the highest common factor of 66873 and 87. 3 What is the greatest common factor of 6213 and 622499? 109 What is the highest common divisor of 21982363 and 1339? 1339 Calculate the highest common factor of 60 and 611708. 4 Calculate the highest common divisor of 68127 and 1623. 3 Calculate the greatest common factor of 600183 and 513. 27 What is the highest common divisor of 33267096 and 204? 204 What is the greatest common divisor of 1592204 and 25972? 172 Calculate the highest common factor of 1204772 and 160172. 6964 What is the greatest common divisor of 8337550 and 78? 26 What is the greatest common factor of 1289277 and 5986239? 4341 Calculate the greatest common divisor of 14240 and 2100845. 445 What is the highest common factor of 1275 and 251324175? 1275 Calculate the highest common factor of 49263400 and 1000. 200 What is the highest common divisor of 16 and 77883984? 16 Calculate the highest common divisor of 2004216 and 54464. 296 Calculate the greatest common divisor of 8939556 and 276. 12 What is the highest common factor of 2316250 and 918? 34 Calculate the greatest common factor of 1025 and 12745014. 41 Calculate the highest common divisor of 20536957 and 72863. 10409 What is the greatest common divisor of 26494848 and 1962? 1962 What is the highest common divisor of 135 and 2637000? 45 What is the highest common factor of 297 and 163124982? 27 What is the highest common divisor of 403440 and 13040? 80 Calculate the greatest common factor of 6585 and 33. 3 Calculate the greatest common factor of 2901 and 179042951. 967 Calculate the highest common divisor of 2237255 and 355. 5 What is the greatest common factor of 13250082 and 248? 62 Calculate the greatest common factor of 64980 and 6181460. 380 What is the greatest common divisor of 123 and 42825525? 123 What is the highest common divisor of 2353249 and 5963? 89 What is the highest common factor of 253 and 72672134? 23 What is the greatest common divisor of 26399842 and 224? 14 Calculate the greatest common factor of 10664495 and 5. 5 What is the greatest common divisor of 883736462 and 49? 49 Calculate the greatest common factor of 296 and 25544282. 74 Calculate the greatest common divisor of 35935002 and 87. 87 Calculate the highest common factor of 1 and 404661433. 1 What is the greatest common divisor of 1186675 and 225? 25 Calculate the greatest common divisor of 39534 and 21575980. 1198 Calculate the highest common factor of 306 and 109521378. 306 What is the greatest common divisor of 730 and 179020? 10 Calculate the greatest common divisor of 11481855 and 217. 7 What is the highest common factor of 880 and 13964060? 220 Calculate the highest common factor of 31268264 and 1856. 232 What is the greatest common factor of 870118170 and 3711? 3711 What is the greatest common factor of 124 and 16202863? 31 Calculate the greatest common divisor of 1032 and 34141183. 43 What is the greatest common factor of 79022253 and 3? 3 What is the greatest common factor of 87407757 and 9? 9 What is the greatest common factor of 39432 and 178504? 424 Calculate the greatest common divisor of 6117 and 1824. 3 Calculate the greatest common divisor of 47002276 and 131. 131 Calculate the highest common factor of 1456 and 90496336. 112 Calculate the highest common divisor of 958636 and 47596. 292 Calculate the highest common factor of 4928 and 157842608. 1232 What is the greatest common factor of 308 and 422504? 4 Calculate the highest common divisor of 59 and 896400334. 59 Calculate the highest common factor of 254815340 and 3302. 3302 Calculate the greatest common factor of 70560 and 175140. 1260 What is the greatest common factor of 4044622 and 6950? 278 Calculate the highest common factor of 60179700 and 8400. 2100 What is the highest common divisor of 13858 and 25676846? 338 What is the highest common factor of 2646670 and 20? 10 Calculate the highest common factor of 10225375 and 232700. 4475 Calculate the greatest common divisor of 5874 and 718586. 1958 Calculate the greatest common factor of 270357822 and 14. 14 Calculate the greatest common divisor of 27829 and 345559. 17 What is the greatest common factor of 2171108 and 3404? 92 What is the highest common factor of 2584 and 170203558? 646 What is the greatest common divisor of 55392 and 11585006? 1154 Calculate the greatest common divisor of 11220741 and 126. 63 What is the greatest common factor of 94440606 and 156? 78 What is the highest common factor of 194332 and 36176436? 10228 Calculate the greatest common divisor of 238953300 and 4127. 4127 Calculate the greatest common factor of 55431876 and 2088. 348 What is the greatest common factor of 183 and 16830327? 183 Calculate the highest common divisor of 1488 and 183145272. 744 What is the highest common divisor of 151968 and 67472? 16 Calculate the greatest common divisor of 645 and 142048651. 43 Calculate the greatest common factor of 29393911 and 1384. 173 What is the highest common factor of 3213 and 80188677? 459 What is the highest common factor of 115 and 2799945? 5 What is the highest common divisor of 2470 and 2991933230? 2470 What is the greatest common divisor of 274291999 and 9291? 3097 What is the highest common divisor of 45782 and 88? 22 What is the greatest common factor of 1609433148 and 24? 12 What is the highest common factor of 1175 and 74475? 25 Calculate the greatest common divisor of 222 and 346616. 74 Calculate the greatest common factor of 930620 and 11692. 316 Calculate the highest common factor of 50411863 and 14778. 821 What is the greatest common divisor of 3856563 and 68229? 3249 Calculate the greatest common divisor of 41347060 and 1020. 340 Calculate the greatest common divisor of 15 and 496385. 5 Calculate the highest common factor of 28 and 3993636. 4 Calculate the highest common factor of 27 and 57732336. 9 What is the greatest common divisor of 1634564 and 321110? 326 What is the greatest common divisor of 3342199 and 45241? 161 What is the highest common factor of 15600 and 493468560? 3120 What is the highest common factor of 4238689 and 171984? 3583 What is the highest common divisor of 185 and 955216050? 185 What is the highest common divisor of 64 and 225449024? 64 Calculate the greatest common divisor of 3213940 and 170. 10 What is the highest common divisor of 42536384 and 4928? 704 Calculate the greatest common divisor of 3750648 and 836. 44 What is the highest common divisor of 147 and 8365917? 147 What is the highest common factor of 3036999 and 141? 141 Calculate the greatest common divisor of 740 and 59471432. 148 Calculate the highest common divisor of 4830002 and 752. 94 What is the greatest common factor of 1775 and 318293? 71 Calculate the greatest common divisor of 14386335 and 69. 3 What is the highest common divisor of 539 and 52650521? 77 What is the highest common factor of 44 and 649863852? 44 Calculate the highest common divisor of 54749 and 10547. 53 Calculate the greatest common factor of 7319 and 27235. 13 What is the highest common factor of 74486596 and 4? 4 What is the highest common factor of 136 and 3653045? 17 Calculate the greatest common divisor of 15738 and 95374. 86 What is the highest common factor of 31621014 and 20313? 333 What is the greatest common divisor of 1256276579 and 139? 139 Calculate the greatest common factor of 496483 and 1378. 13 What is the highest common divisor of 180114 and 825? 33 What is the highest common divisor of 594 and 685530? 54 What is the greatest common divisor of 519 and 1166? 1 What is the highest common divisor of 7635 and 1834530? 15 Calculate the greatest common factor of 5459932 and 7136. 892 Calculate the greatest common factor of 397 and 156709001. 397 Calculate the greatest common divisor of 1165120 and 3905. 55
{ "pile_set_name": "DM Mathematics" }
d)? -4 Let i(t) be the second derivative of t**6/720 + t**5/24 - t**4/6 - 2*t. Let b(a) be the third derivative of i(a). Determine b(-5). 0 Let g be ((-4)/1)/(-4) + 3/1. Let f(z) = 2*z - 2. Let j(v) = 3*v - 5. Let h = 6 - 9. Let q(a) = h*j(a) + 5*f(a). Determine q(g). 9 Let i(b) = b - 4. Let y(p) = 0 - p + 1 - 2. Let l(h) = -i(h) + 3*y(h). Give l(-2). 9 Let i = -11 - -9. Let c(p) = p**3 + 3*p**2 + 3*p + 3. Determine c(i). 1 Let h(v) be the first derivative of v**4/4 - 5*v**3/3 + v**2 + 4*v + 1. Let j(w) = w - 3. Let q be j(5). Suppose -4 = -q*o + o. Give h(o). -4 Let f(q) = -q**2 - 6*q + 4. Let w be f(-6). Let a(t) = -t**3 + 5*t**2 - 3*t + 1. Calculate a(w). 5 Let l(v) = -v**2 + 5. Let a = 0 - -2. Let i = a + 0. Let o(p) = -p + 2. Let q be o(i). Give l(q). 5 Suppose q + 8 - 3 = 0. Let d(z) = -z**2 - 8*z - 5. What is d(q)? 10 Let m = 0 + -5. Let t be 6/(-2)*(-8)/6. Let d(v) = t*v - 3*v - 5 + 3. What is d(m)? -7 Let q(w) be the third derivative of -w**5/60 - 7*w**4/12 + w**3/6 - 33*w**2. Determine q(-14). 1 Let l(o) = o - 1. Let w be ((-9)/3)/(-3) + -2. Let s(v) = 3*v - 2. Let d(q) = w*s(q) + 2*l(q). Determine d(5). -5 Let h(m) = -2 + m**3 - 3*m + 3 + 0*m**2 + 9*m**2 + 11*m. Let y be h(-8). Let b(f) = -9*f. What is b(y)? -9 Let p(k) = k + 8. Let q be p(-6). Suppose q = o - 1. Suppose o*s - 10 = 3*y + 2*y, -30 = 3*y + 3*s. Let i(w) = -w**2 - 7*w - 1. Calculate i(y). 9 Let r(d) = d**2 + 5*d - 2. Let n(h) = -h**2 + 8*h + 17. Let o be n(10). Calculate r(o). -8 Let w(k) = k**3 + 3*k**2 - 4*k + 3. Let j(s) = 2*s - 6. Let v be j(4). Suppose a + 4 = 3. Let x be a/v*(2 - -6). Give w(x). 3 Let c(v) = v**3 - 6*v**2 + v - 10. Let h be (-6)/(-9)*(-11 - 1). Let z(j) = -3*j**3 + 18*j**2 - 4*j + 29. Let w(l) = h*c(l) - 3*z(l). What is w(5)? -12 Let o = -7 - -11. Let q = 7 - 5. Let w(u) = -2*u + u**q - 3*u + 3*u - 2*u - 2. Calculate w(o). -2 Let k be (1 - -1)*(-133)/(-14). Suppose 5*b = k + 1, -3*b = -5*a - 32. Let t(h) = 4 - 2 + h + 6. Give t(a). 4 Suppose 0 = 2*h + 3 + 5, 3*c = 5*h + 32. Let p = c - -3. Let u be 2/2 - (p + -7). Let t(k) = 11*k + 1. Give t(u). 12 Let w be (-4)/(-3)*(2 + 1). Let n(g) = g**3 + g**2 - 7*g - 6. Let y(d) = -d**3 + 6*d + 5. Let x(c) = -3*n(c) - 4*y(c). Give x(w). 2 Let z(n) = -n + 4. Let r(m) = -m - 8. Let y be r(-8). Suppose -2*l + 1 + 11 = y. Calculate z(l). -2 Let m be 30/4*(-2)/(-3). Let x be (4 - m)*0/2. Let z(y) = -y - 1. What is z(x)? -1 Let g(r) = r**2 + 6*r + 2. Let f(k) be the second derivative of k**5/20 + k**4/3 + k**3/6 - 3*k**2/2 - k. Let p be f(-3). Let z be p/(-6) + (-7)/2. Give g(z). -6 Let i(t) = -15 + 20 - t**2 + 2*t**2 - 9. Let w = -7 + 10. Suppose -2*k = -k + w. Calculate i(k). 5 Let r be 2 + -1 - (3/3 + -3). Let k(g) = g**3 - 4*g**2 + 4. Give k(r). -5 Let d = -13 - -6. Let f = 10 + d. Let r(u) = u**2 - 3*u - 3. Give r(f). -3 Let n(d) = 23*d**3 + d**2 + d - 1. Let i be n(1). Suppose 8*g - i = 4*g. Let t(z) = 1 - 1 + g*z + z**2 - 3. Give t(-5). -8 Let i(n) = 6*n**2 + n - 4. Let y(b) = 5*b**2 + 2*b - 4. Let o(r) = 3*i(r) - 4*y(r). What is o(-4)? -8 Let c = -14 + 10. Let n(a) = a + 2. Give n(c). -2 Let l(t) = -t**2 + 3*t + 4. Let q(i) be the second derivative of i**3/3 + i**2/2 + 3*i. Let c be q(1). What is l(c)? 4 Let q = -2 + 5. Suppose -q*t = -0*t. Suppose -5*i + 0*l = -l + 20, 4*l = t. Let p(w) = -w**3 - 4*w**2 - w. Determine p(i). 4 Let g(l) = -5*l + 8 + 8 - 13. Give g(2). -7 Suppose 6*f - 40 = 5*c + 5*f, 5*f = -2*c - 16. Let w(g) = -g - 8. Calculate w(c). 0 Suppose 0*z = 5*y - 5*z - 25, -2*z - 19 = -5*y. Let l(i) = 2*i**2 - 6*i + 1. Let d(a) = a**2 - 3*a + 1. Let p(f) = y*l(f) - 5*d(f). What is p(2)? -4 Let t(g) = -g**2 + 6*g - 1. Let s be t(6). Let q(l) be the second derivative of 7*l**4/12 + l**3/6 + 5*l. What is q(s)? 6 Suppose -m - 4 = -5. Let u(i) = 7*i - 1. Let o(h) = -35*h + 6. Let p(t) = 2*o(t) + 11*u(t). What is p(m)? 8 Let t(w) = -w + 1. Let i(k) = -k**2. Let o(b) = -5*i(b) + t(b). What is o(1)? 5 Let g = 8 + -6. Let k = g + 3. Suppose -k = -0*o - o. Let f(y) = -y**3 + 5*y**2 + 2*y + 2. Calculate f(o). 12 Let z(y) = 3*y**2 - 7*y + 6. Suppose g + 5*r = -6, 4*r = 2*g - 6*g + 8. Give z(g). 26 Let y(g) = -5*g**2 - 7*g**2 + 2 + 11*g**2. Determine y(2). -2 Let q(p) = -9 - 97*p**2 - p**3 + 102*p**2 + 3. Give q(5). -6 Let t(l) = l**2 + 2*l - 7. Let i be t(-3). Let p(g) = -g**2 + g + 5. What is p(i)? -15 Let a(g) = g - 5. Let m(y) = -2. Let n(q) = 3*a(q) - 8*m(q). What is n(-5)? -14 Suppose 3*a = 4*l - 25, l - 1 = -2*a + a. Let c be -2 - (2 + -7) - 0. Let g(f) = -f**2 + 1 - f**3 + 2*f**c - 3*f**2. Determine g(l). 1 Let x(u) = 0*u + 1 - 2*u**2 + 3*u - 2*u - 3*u. Calculate x(1). -3 Let o(y) = 7*y. Let j be (-3)/(-2)*8/6. Let h be ((-5)/(-15))/(j/30). Let i = -6 + h. Calculate o(i). -7 Suppose 6*w + 40 = w. Let u = w + 5. Let g(h) be the third derivative of h**6/120 + h**5/20 + 2*h**3/3 - h**2. Calculate g(u). 4 Let v(k) = -k**3 - 6*k**2 - 1. Let a = -7 - -1. Determine v(a). -1 Suppose 3*l = 8*l + 15. Let j(p) = -11*p - 4. Let x(d) = 2 - 5 + 5 + 5*d. Let f(g) = -2*j(g) - 5*x(g). What is f(l)? 7 Suppose -5*l = 2 + 13. Let d(b) = b**3 + b**2 + b - 1. Let k(r) = -4*r**3 - r**2 - 3*r + 2. Let f(m) = -5*d(m) - k(m). What is f(l)? 0 Suppose 0 = -2*b + 4, -6*y = -2*y - 3*b - 18. Let w(i) = -i - 1. Determine w(y). -7 Let t(m) = -2*m**3 - 4*m**2 + 2*m + 3. Let z(a) = a**2 - 8*a - 3. Let f be z(8). What is t(f)? 15 Let d(i) be the second derivative of -i**5/10 + i**4/24 + 5*i**3/6 + 5*i. Let w(g) be the second derivative of d(g). Give w(-1). 13 Let w be 16/(-56) - (-2)/7. Let l be -1*(w + 1) - 9. Let h = 15 + l. Let b(r) = -2*r + 6. Calculate b(h). -4 Let n(c) = -c**2 - 8*c - 6. Let w(z) = -5*z**3 + z**2 - 1. Let t be -1 + 0 + 1 - -1. Let b be w(t). Determine n(b). 9 Let r(h) = -h**3 - 5*h**2 + 6*h - 7. Let c = -38 - -32. Give r(c). -7 Suppose 6*n - 4 = 7*n. Let h(j) = j**2 + 7*j + 6. What is h(n)? -6 Let o(n) = -n - 4. Let j be o(-6). Let y(z) = 4*z - j*z - 3*z. Let h be (-1)/(-4) - 17/4. Give y(h). 4 Let b be (0/2 - 0)*(-5)/(-10). Let k(l) = l - 22. Calculate k(b). -22 Let x(a) = a**3 + 4*a**2 - 8*a - 4. Let u(l) = 18*l**2 - 2. Let v be u(-2). Let c = 100 - v. Suppose -4*h - c = -10. Determine x(h). 11 Let q(h) be the third derivative of -h**5/60 + h**4/3 - 4*h**3/3 + 11*h**2. Calculate q(6). 4 Let u(g) = -5*g**2 - 4*g + 1. Let v(t) = -t. Let o(s) = -u(s) + 4*v(s). What is o(2)? 19 Let o(f) = 0*f + 13 - 5 - 2*f. What is o(6)? -4 Let y(w) = -w**3 - 6*w**2 - 2*w - 8. Let k be y(-6). Let m(p) be the second derivative of 0*p**2 + 0 + 1/6*p**3 - 4*p. Determine m(k). 4 Let x be 4 - (-1 - 0/3). Let b(y) = 3*y - 6. Let s(l) = -4*l + 6. Let f be 0/(-1) + 4*1. Let p(w) = f*s(w) + x*b(w). Calculate p(-3). -3 Let y(b) = 3*b**3 + b**3 - 5*b**3 - 3*b**3 + 4*b + 6 - 11*b**2. Let h(t) = 5*t**3 + 12*t**2 - 4*t - 7. Let j(i) = 5*h(i) + 6*y(i). Calculate j(5). -4 Let l(x) = x**3 - 3*x**2 + 2*x - 2. Let p(g) be the third derivative of -g**6/120 - g**5/15 + g**4/4 + 7*g**3/6 - g**2. Let r be p(-5). Determine l(r). -2 Let g(h) = 3*h**3 - 3*h + 1 + 3*h. Let a(i) = 8*i - 103. Let c be a(13). Give g(c). 4 Let w(x) = -9 + 4*x**2 - 2*x**3 + 3*x - 2*x**3 + 10 + x**3. Let i be w(-2). Suppose 3*o = -15, 5*o = 3*p - i + 4. Let u(d) = -4*d - 1. Give u(p). -9 Let z(a) be the second derivative of 0 - 1/4*a**4 + 1/3*a**3 - 3*a**2 + 2*a. Let j(v) = -8*v**2 + 6*v - 17. Let b(q) = 4*j(q) - 11*z(q). Calculate b(-3). 1 Let u(i) = -i**3 + 2*i - 1. Let r be u(1). Suppose -15 = -2*n - 3*n + 5*v, 2*n - v - 3 = r. Let t(j) = j**2 - j + 9. What is t(n)? 9 Let s(x) = -5 + 2 + 2*x + 4. Suppose 2*o = -0 + 2. Suppose 4*y + 15 = 3*r + o, 0 = 4*r - 2*y - 12. What is s(r)? 5 Suppose -4*i + 40 = 4*n, -5*n - 20 = -2*i - 3*i. Let z(u) = u**3 - 6*u**2 - 5*u - 1. Give z(i). 13 Let n(s) = 2 + 5 + s - 6 + s. Give n(-1). -1 Let r(p) = -5*p - p + 2 + p**2 + 2*p. Let u(j) = j**3 - 3*j**2 + j + 2. Let t be 1/(1/5) - 2. Let h be u(t). Determine r(h). 7 Let u(b) = b**2 - 5*b - 1. Let z(w) = -w**3 + w - 1. Let c be z(-2). Suppose 0*o + 30 = c*o. What is u(o)? 5 Let j(d) = -d**3 + 4*d**2 - d - 4. Suppose -5*i = 3*v - 32, 4*i - 3 - 5 = 2*v. Calculate j(v). -8 Let m(u) = u**3 - 37*u**2 + 37*u - 30. Let s be m(36). Suppose -2 + 5 = i. Let t(g) = 2*g - i*g - 3 + 2*g. Give t(s). 3 Let q
{ "pile_set_name": "DM Mathematics" }
s thirty-two fifths of a hour in minutes? 384 What is nine tenths of a milligram in micrograms? 900 What is seventeen halves of a millennium in years? 8500 What is one ninth of a day in seconds? 9600 How many grams are there in thirty-four fifths of a kilogram? 6800 What is twenty-nine halves of a tonne in kilograms? 14500 How many grams are there in 95391.09 nanograms? 0.00009539109 How many centimeters are there in fifty-two fifths of a meter? 1040 What is thirty-two fifths of a century in months? 7680 How many nanograms are there in 1/10 of a milligram? 100000 How many centimeters are there in 5/4 of a meter? 125 Convert 25.11907 millimeters to centimeters. 2.511907 How many microseconds are there in 595.9823 hours? 2145536280000 How many litres are there in 4.523505ml? 0.004523505 What is seven halves of a hour in minutes? 210 What is three tenths of a minute in seconds? 18 How many millimeters are there in three eighths of a meter? 375 What is 5.637898 tonnes in micrograms? 5637898000000 What is 13241.89377 nanoseconds in weeks? 0.000000000021894665625 Convert 8476.031 days to milliseconds. 732329078400 What is 4757.962ug in grams? 0.004757962 What is five eighths of a litre in millilitres? 625 What is 5647.76 grams in micrograms? 5647760000 How many millilitres are there in fifty-four fifths of a litre? 10800 How many millennia are there in 69299.15 centuries? 6929.915 What is three fifths of a week in minutes? 6048 What is 3792.686ml in litres? 3.792686 Convert 19413.72 millilitres to litres. 19.41372 How many millilitres are there in 11/4 of a litre? 2750 What is 13.29384 millilitres in litres? 0.01329384 What is one fifth of a kilometer in meters? 200 Convert 0.8404607 milliseconds to microseconds. 840.4607 What is six fifths of a minute in seconds? 72 How many millennia are there in 67726.8 months? 5.6439 Convert 62946.17ng to tonnes. 0.00000000006294617 What is 22939.54 decades in years? 229395.4 How many kilograms are there in 466.2502 micrograms? 0.0000004662502 How many millilitres are there in eleven halves of a litre? 5500 Convert 0.6516404 years to decades. 0.06516404 Convert 76101.462ns to hours. 0.000000021139295 How many micrometers are there in fifty-three fifths of a millimeter? 10600 What is twenty-nine fifths of a millennium in years? 5800 How many kilometers are there in 82.2298 nanometers? 0.0000000000822298 What is 12/25 of a hour in seconds? 1728 How many months are there in 9/10 of a decade? 108 What is 547.5908ml in litres? 0.5475908 What is five eighths of a millennium in years? 625 Convert 32.73812 millilitres to litres. 0.03273812 How many microseconds are there in 650.5867 weeks? 393474836160000 What is fifteen quarters of a year in months? 45 How many micrograms are there in seven eighths of a milligram? 875 What is 7.076748ns in seconds? 0.000000007076748 How many litres are there in 9423.342 millilitres? 9.423342 What is 3/8 of a kilogram in grams? 375 How many years are there in fifty-nine fifths of a decade? 118 What is 418.9548 nanoseconds in microseconds? 0.4189548 What is 5717.343l in millilitres? 5717343 How many months are there in 23/6 of a year? 46 What is 8/3 of a minute in seconds? 160 Convert 2.200212 centuries to months. 2640.2544 How many hours are there in seventy-eight sevenths of a week? 1872 How many days are there in 0.4130584 weeks? 2.8914088 What is five eighths of a decade in months? 75 How many seconds are there in 79.67644 microseconds? 0.00007967644 What is 881.2581 decades in centuries? 88.12581 What is 85224.6 decades in years? 852246 How many years are there in 3/40 of a millennium? 75 What is 19/4 of a meter in millimeters? 4750 Convert 119225.25 months to years. 9935.4375 How many meters are there in 330016.9mm? 330.0169 How many hours are there in three sevenths of a week? 72 How many litres are there in 61738.5ml? 61.7385 How many milliseconds are there in 3/5 of a second? 600 What is twenty-one fifths of a litre in millilitres? 4200 How many hours are there in five eighths of a day? 15 How many months are there in 1/5 of a decade? 24 How many millilitres are there in 5023.725 litres? 5023725 How many milliseconds are there in 6/25 of a minute? 14400 How many months are there in seventeen tenths of a century? 2040 What is 599115.258 minutes in weeks? 59.4360375 Convert 44.93933 micrograms to milligrams. 0.04493933 What is 54/5 of a minute in seconds? 648 Convert 4498.357 milligrams to nanograms. 4498357000 What is 13/5 of a millennium in centuries? 26 How many centimeters are there in 3/5 of a meter? 60 Convert 472621.7nm to micrometers. 472.6217 Convert 0.3505122l to millilitres. 350.5122 What is eleven halves of a tonne in kilograms? 5500 How many milligrams are there in 0.7314522ng? 0.0000007314522 Convert 231.6729s to nanoseconds. 231672900000 What is 44.61726 decades in centuries? 4.461726 What is thirteen quarters of a kilometer in meters? 3250 How many meters are there in 18/5 of a kilometer? 3600 What is 0.6402806m in millimeters? 640.2806 Convert 3253.305 litres to millilitres. 3253305 What is eleven quarters of a litre in millilitres? 2750 What is twenty-six fifths of a litre in millilitres? 5200 How many litres are there in 60.36821ml? 0.06036821 Convert 0.3993675l to millilitres. 399.3675 What is four thirds of a minute in milliseconds? 80000 Convert 52.47164 kilometers to nanometers. 52471640000000 How many months are there in 8.024332 decades? 962.91984 What is fifteen quarters of a hour in minutes? 225 What is 78726.66 years in millennia? 78.72666 What is 2294.838 millimeters in micrometers? 2294838 What is 16.43235 millimeters in kilometers? 0.00001643235 How many months are there in 3/10 of a decade? 36 How many microseconds are there in 0.8411393 weeks? 508721048640 What is 1/20 of a milligram in nanograms? 50000 What is three eighths of a centimeter in micrometers? 3750 What is one fifth of a litre in millilitres? 200 How many minutes are there in 5/8 of a day? 900 What is one quarter of a milligram in micrograms? 250 How many centimeters are there in six fifths of a meter? 120 What is 41/2 of a hour in seconds? 73800 How many nanograms are there in seventy-three fifths of a microgram? 14600 How many micrograms are there in 47/4 of a milligram? 11750 Convert 1444679.901s to weeks. 2.3886903125 How many seconds are there in 68.03593 days? 5878304.352 What is 3/25 of a millimeter in micrometers? 120 What is two fifteenths of a week in seconds? 80640 How many meters are there in 11/2 of a kilometer? 5500 What is 154236.8709 seconds in weeks? 0.25502128125 What is 5/4 of a century in months? 1500 How many litres are there in 960997.4 millilitres? 960.9974 How many kilograms are there in 67/4 of a tonne? 16750 How many kilograms are there in 496847.5 tonnes? 496847500 How many seconds are there in thirteen twelths of a day? 93600 How many centuries are there in 9.752205 decades? 0.9752205 How many nanoseconds are there in one twentieth of a microsecond? 50 Convert 7674.009 seconds to nanoseconds. 7674009000000 How many nanoseconds are there in 3/8 of a microsecond? 375 Convert 8993.179um to centimeters. 0.8993179 What is 5706.8g in milligrams? 5706800 What is 1/5 of a centimeter in micrometers? 2000 What is 621199.1 years in centuries? 6211.991 How many nanometers are there in 0.7261958km? 726195800000 How many minutes are there in 46/5 of a hour? 552 Convert 806684.7 days to microseconds. 69697558080000000 How many minutes are there in one tenth of a week? 1008 Convert 814173.7 millennia to centuries. 8141737 How many months are there in 3/5 of a century? 720 What is 1/4 of a century in months? 300 What is sixty-four fifths of a litre in millilitres? 12800 Convert 90.22216 tonnes to milligrams. 90222160000 How many millilitres are there in eleven quarters of a litre? 2750 How many minutes are there in 3.565211 days? 5133.90384 How many hours are there in 15/4 of a week? 630 How many millilitres are there in 29/5 of a litre? 5800 What is 2748266.4 months in decades? 22902.22 Convert 891.0357 days to nanoseconds. 76985484480000000 What is 31/5 of a litre in millilitres? 6200 What is 3/25 of a centimeter in micrometers? 1200 How many milligrams are there in 5
{ "pile_set_name": "DM Mathematics" }
i(16). Let b = 91 - c. Calculate the remainder when 70 is divided by b. 32 Suppose 66*s + 58 = 68*s. Let i = 11 - -3. Let d = i - 8. Calculate the remainder when s is divided by d. 5 Let w(h) = h**2 - 31*h + 125. What is the remainder when w(29) is divided by 57? 10 Let x(k) = -54*k + 364. Calculate the remainder when x(-1) is divided by 35. 33 Suppose -56*a = 48*a + 11*a - 1680610. Calculate the remainder when a is divided by 42. 40 Let i(n) = -3*n**3 - 6*n**2 + 17*n - 9. Let v(k) = -3*k**3 - 5*k**2 + 16*k - 10. Let b(c) = 5*i(c) - 6*v(c). What is the remainder when b(3) is divided by 15? 3 Suppose -1382*d = -1383*d - 4*m + 2522, -5*m + 12520 = 5*d. Calculate the remainder when d is divided by 15. 8 Let t(w) = -w**3 - 23*w**2 + 23*w + 9. Let i(z) = 26 - z**2 + 3*z**2 + 22*z - 14. Let d be i(-9). Calculate the remainder when t(d) is divided by 18. 15 Suppose 0*u - 3 = -3*s + 3*u, -3*u = 3*s - 21. Let f(w) = -37*w + 2868. Calculate the remainder when f(77) is divided by s. 3 Suppose 20*b = 130 + 710. Suppose s + 6 = 4*s. Suppose -b = -s*u + 4. Calculate the remainder when u is divided by 13. 10 Let c be ((-51)/(-12))/((-2)/(-24)). Let t = c - 118. Let a = 71 + t. What is the remainder when a is divided by 1? 0 Let j(t) = 11*t - 149. Calculate the remainder when 1800 is divided by j(15). 8 Let q(t) = -t**3 - 51*t**2 + 103*t - 127. Calculate the remainder when ((-10)/(-2))/((-61)/(-15) + -4) is divided by q(-53). 11 Suppose 0 = 3*j - c - 59, 0*j + 2*c = 5*j - 97. Let a be ((-3)/j + 1)/(6/(-42)). What is the remainder when a/(-9) - (124/(-3) - 2) is divided by 18? 8 Let z(d) = d**2 - 25*d - 49. Let a be z(27). Suppose 4*n - 15 = a. Calculate the remainder when 81 is divided by ((-42)/(-15))/(1/n) + -2. 9 Suppose 2*q = 2*f + 1140, -5*q - 17*f = -16*f - 2868. Calculate the remainder when q is divided by 109. 28 Suppose 5*t - 1 = 4*t + 4*a, -4*t - 5*a + 25 = 0. Suppose 0 = 3*s - 7 - t. What is the remainder when 19 is divided by s? 3 Let v = -770 + -475. Let c = 2298 + v. What is the remainder when c is divided by 96? 93 Let d = 1385 - 1311. Calculate the remainder when 3403 is divided by d. 73 Let q(r) = 763*r**2 - 4*r + 2. What is the remainder when q(1) is divided by 14? 5 Let j = 103 + -174. Let v = j + 90. What is the remainder when 47 is divided by v? 9 Suppose q + 5*j = 391, -1028 - 873 = -5*q + 2*j. Suppose -187 = -3*n + h, 3*n - 5*h - 295 = -2*n. What is the remainder when q is divided by n? 61 Let s = 17005 - 16982. Let y be (-4 + 2)*(-7 - 0). Let c = y + -8. What is the remainder when s is divided by c? 5 Let m be 54/(-15)*(-5)/(-1). Let q be (0 - 3) + m/(-3). Let s(j) = 3*j**3 - j - 8. Calculate the remainder when s(q) is divided by 18. 16 Suppose -8*q - 1414 - 930 = 0. Let i = 304 + q. What is the remainder when 32 is divided by i? 10 Let t(j) = 3 - j**2 + 3*j - 3 + 3 - 32*j**3. Calculate the remainder when t(-2) is divided by 4/1 + (-217 - -214) + -2 + 64. 60 Let z(f) = f**3 + 73*f**2 - 152*f - 103. Calculate the remainder when z(-75) is divided by 32. 15 Suppose -19 = 5*x - 159. Let d = 118 - x. Suppose 5*y - 119 = -24. Calculate the remainder when d is divided by y. 14 Suppose 16*b - 30 = 18*b. Let v(t) = 3*t**3 - t**2 + 18. Calculate the remainder when v(3) is divided by (-6)/(-15) - 339/b. 21 Let l be (56/12)/(-7)*-6. Suppose -5*d + 2*u = -207, 14*u - 156 = -l*d + 18*u. Calculate the remainder when 728 is divided by d. 40 Let o(j) = 3*j**3 - 90*j**2 - 95*j + 87. What is the remainder when 19398 is divided by o(31)? 23 Suppose -10*j - 2151 + 8081 = 0. Suppose -2*q - 238 = -4*w - 100, -5*w + 156 = 3*q. Calculate the remainder when j is divided by w. 32 Let v = 130 + -250. Let k = v + 199. Let a(f) = -33*f + 108. What is the remainder when k is divided by a(3)? 7 Suppose -85*q + 10979 = 462*q + 39. What is the remainder when 1038 is divided by q? 18 Let t(x) = 655*x**3 + 55*x**2 - 57*x + 1. Let m(j) = 42*j**2 - 3*j + 2. Calculate the remainder when t(1) is divided by m(1). 39 Let c(n) = -4*n**2 + 5. Let o be c(4). Let t = o - -83. What is the remainder when ((-39)/(-9))/((-2)/(-54)) is divided by t? 21 Let h(j) be the first derivative of -1/2*j**2 + 15 + 20*j. Calculate the remainder when h(8) is divided by 8. 4 Let p = 193 + -293. Let m = -97 - p. Calculate the remainder when 7 is divided by m. 1 Calculate the remainder when 82 is divided by -7 - (-112)/(-24)*-3. 5 Let c = -465 + 554. Calculate the remainder when 900 is divided by c. 10 Let i be 2/(-3)*(178/(-2) + -1). Let q = i - -125. What is the remainder when q is divided by 11? 9 Let p be (39 + -45)*-1*43/2. What is the remainder when 118 is divided by 86/p + (-88)/(-3)? 28 Let q(p) = 8*p**3 - 2*p**2 + 2. Suppose 668 = 4*v + 76*c - 72*c, 2*v - 5*c = 362. Calculate the remainder when v is divided by q(2). 55 Calculate the remainder when 8089 is divided by (1 - -6)*1/1 - 389546/(-1891). 208 Let v be -3 + 57/21 - 1770/(-70). Calculate the remainder when (-6)/15 - ((-4035)/v - 1) is divided by 55. 52 Let j(d) = 6*d - 4. Calculate the remainder when (12 - 138)*(-2)/2 is divided by j(6). 30 Let x(g) = 5 + 3*g**2 + g - 4*g**2 + 8 - 14. Let n(l) = -4*l**2 + 7*l - 7. Let d(v) = n(v) - 5*x(v). Calculate the remainder when 21 is divided by d(-4). 3 Let y = -152 - -290. Let z = y + -114. Let n(v) = -v + 21. What is the remainder when z is divided by n(16)? 4 Let y(x) = 37*x - 2623. Calculate the remainder when 1584 is divided by y(71). 0 Let g = 327 + -323. Suppose -y + 7*z + 203 = g*z, -436 = -2*y - 4*z. What is the remainder when y is divided by 31? 26 Let z = 171 + -168. Suppose -2*q - s + 23 = 0, 15 = 3*q - z*s - 2*s. Calculate the remainder when 25 is divided by q. 5 Let g(p) = -3*p - 48. Let w be g(-16). Suppose w = -17*h + 79 + 176. Suppose -4*l = -l - 165. Calculate the remainder when l is divided by h. 10 Suppose -8*o = -8999 - 12841. Suppose -19*z - 20*z + o = 0. What is the remainder when z is divided by 32? 6 Let s = 97 + 109. Suppose -3*d - 2*d + s = 3*v, -2*v + 204 = 5*d. Calculate the remainder when d is divided by 21. 19 Suppose -3*p - o = -10795, o + 10791 = 3*p - 2*o. What is the remainder when p is divided by 36? 34 Let z(m) = -2*m**3 + 2*m**2 + m - 2. Let l be z(1). Calculate the remainder when 15*4/20 + (0 - -24) is divided by 3 - ((0 - 12) + l + 0). 11 Suppose 0 = -2*o - 4, 0 = -44*t + 48*t + o - 66. Calculate the remainder when (-7 - (-771)/18)*6 is divided by t. 11 Suppose -4*c = k + 1 - 21, 5*k - 15 = -3*c. Let w(a) = -a**3 + 8*a**2 + 8*a + 7. Let f be w(9). Calculate the remainder when (-135)/c*(f + 1) is divided by 8. 3 Let a = 225 + -23. Suppose 825 = 11*u + 4*u. Calculate the remainder when a is divided by u. 37 Suppose -4*p = -t - t - 12, -t + 4*p - 6 = 0. Let d(l) = -l**2 - 12*l - 1. Calculate the remainder when (-412)/20*20/(-4) is divided by d(t). 33 Let n = -730 - -733. Suppose 9 = n*q, 2*a + 0*q - 42 = 4*q. Calculate the remainder when 73 is divided by a. 19 Let h = -11 + 39. Let m(f) = -17*f + 2*f**2 + 7 + 18*f + f**3 + 75. Calculate the remainder when m(0) is divided by h. 26 Let j(w) = -14*w**2 + 104*w - 8. Calculate the remainder when 1436 is divided by j(2). 140 Suppose -34*o + 2880 = 11*o. Let g = 83 - o. What is the remainder when 225 is divided by g? 16 Let u(y) = 2*y**2 + 4*y + 2. Let h be u(-3). Calculate the remainder when 16 is divided by 8/40*5*(h - 1). 2 Let l = 12564 + -12524. What is the remainder when 45 is divided by l? 5 Suppose -6*w = -3*w - 5*h - 37, 0 = -3*w + h + 41. Calculate the remainder when 1/(7/w*(-8)/(-1284)) is divided by 14. 13 Suppose 11*k - 15 = 6*k. Suppose 3*y = -5*n + 18, 14*y = 18*y - 4. What is the remainder when k is divided by n? 0 Let z = -231 - -344. Suppose -4*o + 112 = 4*u, -5*o - u + 66 + 78 = 0. Calculate the remainder when z is divided by o. 26 Suppose 5*u - 94 - 56 = 0. Let m = 336 - 339. Let f(b) = 27*b**2 + 2*b + 1. What is the remainder when f(m) is divided by u? 28 Let f(x) = 10*x + 101. What is the remainder when 1111 is divided by f(19)? 238 Let f(m) = -m - 5. Suppose -p + 5 = 17. What is the remainder when 1116/72 - (-1)/(-2) is divided by f(p)? 1 Let p(f) = f**3 + 5*f**2 + 5*f - 2. Let s be p(-4). Let n be (9/s)/((-6)/16). Suppose 11*y - n*y = 315. Calculate the remainder when y is divided by 12.
{ "pile_set_name": "DM Mathematics" }
30 Calculate the highest common factor of 3122 and 14. 14 Calculate the greatest common factor of 11368 and 98. 98 What is the highest common divisor of 150 and 90? 30 What is the highest common divisor of 245 and 20? 5 Calculate the highest common factor of 630 and 30. 30 Calculate the highest common divisor of 57 and 2850. 57 What is the greatest common factor of 68 and 612? 68 What is the highest common divisor of 45 and 279? 9 What is the greatest common factor of 518 and 222? 74 What is the greatest common factor of 585 and 156? 39 Calculate the greatest common factor of 133 and 57. 19 Calculate the greatest common factor of 127 and 3175. 127 Calculate the greatest common factor of 46 and 1978. 46 What is the greatest common divisor of 390 and 12480? 390 What is the greatest common divisor of 19 and 361? 19 Calculate the highest common factor of 76 and 114. 38 Calculate the greatest common divisor of 39 and 312. 39 Calculate the highest common divisor of 2568 and 24. 24 Calculate the greatest common divisor of 138 and 2658. 6 Calculate the highest common divisor of 36 and 1116. 36 What is the greatest common factor of 648 and 840? 24 What is the highest common divisor of 384 and 120? 24 Calculate the greatest common divisor of 18 and 60. 6 Calculate the highest common divisor of 68 and 68. 68 What is the highest common factor of 256 and 8? 8 What is the greatest common factor of 216 and 100? 4 What is the greatest common factor of 13 and 43069? 13 Calculate the highest common divisor of 2783 and 121. 121 What is the highest common divisor of 1841 and 7? 7 Calculate the greatest common factor of 954 and 3498. 318 Calculate the greatest common divisor of 1176 and 408. 24 What is the highest common factor of 1793 and 22? 11 What is the highest common factor of 24797 and 362? 181 Calculate the highest common divisor of 1020 and 600. 60 Calculate the greatest common divisor of 3275 and 325. 25 Calculate the highest common factor of 34 and 9146. 34 What is the greatest common factor of 150 and 90? 30 What is the highest common factor of 3008 and 235? 47 Calculate the greatest common factor of 871 and 13. 13 What is the greatest common factor of 851 and 276? 23 What is the highest common divisor of 48 and 5120? 16 Calculate the highest common divisor of 228 and 9804. 228 Calculate the greatest common factor of 418 and 22. 22 Calculate the highest common factor of 294 and 735. 147 What is the highest common divisor of 15 and 9090? 15 What is the highest common factor of 23792 and 24? 8 Calculate the greatest common factor of 4736 and 64. 64 What is the highest common divisor of 160 and 1080? 40 What is the greatest common factor of 492 and 164? 164 Calculate the greatest common divisor of 94 and 11327. 47 What is the greatest common factor of 8244 and 36? 36 What is the greatest common factor of 28 and 84? 28 What is the greatest common factor of 180 and 1548? 36 Calculate the greatest common factor of 28 and 28. 28 Calculate the greatest common factor of 5000 and 125. 125 Calculate the highest common divisor of 18 and 16. 2 Calculate the highest common divisor of 24963 and 477. 159 Calculate the greatest common divisor of 68 and 136. 68 What is the highest common factor of 80 and 240? 80 Calculate the highest common factor of 94 and 235. 47 What is the greatest common factor of 34 and 799? 17 What is the highest common divisor of 351 and 99? 9 Calculate the highest common divisor of 195 and 12025. 65 What is the highest common divisor of 295 and 295? 295 Calculate the greatest common factor of 2544 and 8. 8 Calculate the highest common divisor of 97 and 35599. 97 What is the greatest common factor of 6 and 1338? 6 Calculate the greatest common divisor of 6027 and 63. 21 Calculate the greatest common divisor of 20 and 7675. 5 Calculate the highest common divisor of 198 and 1683. 99 What is the highest common divisor of 192 and 1392? 48 What is the highest common factor of 8 and 2872? 8 Calculate the greatest common factor of 23 and 391. 23 What is the greatest common factor of 15 and 12? 3 What is the highest common factor of 3993 and 242? 121 What is the greatest common factor of 1330 and 50? 10 What is the highest common factor of 2200 and 210? 10 What is the highest common divisor of 144 and 176? 16 What is the greatest common divisor of 11 and 1760? 11 Calculate the highest common factor of 5200 and 390. 130 Calculate the highest common divisor of 115 and 2208. 23 Calculate the highest common divisor of 837 and 324. 27 Calculate the greatest common divisor of 60 and 1110. 30 Calculate the greatest common divisor of 1890 and 225. 45 What is the highest common divisor of 40 and 56? 8 What is the greatest common divisor of 32 and 976? 16 Calculate the highest common factor of 35 and 645. 5 Calculate the highest common divisor of 19 and 18259. 19 Calculate the highest common factor of 153747 and 99. 99 Calculate the highest common factor of 913 and 2075. 83 Calculate the greatest common factor of 360 and 200. 40 Calculate the highest common factor of 376 and 235. 47 Calculate the greatest common divisor of 66 and 15906. 66 Calculate the highest common divisor of 1458 and 18. 18 Calculate the greatest common factor of 7 and 12187. 7 What is the highest common factor of 12 and 6? 6 What is the highest common factor of 64 and 16? 16 What is the greatest common divisor of 795 and 106? 53 Calculate the greatest common divisor of 196 and 2156. 196 Calculate the greatest common divisor of 2 and 31. 1 What is the highest common factor of 847 and 28? 7 What is the highest common divisor of 225 and 27? 9 Calculate the greatest common divisor of 200 and 3160. 40 Calculate the highest common factor of 135 and 3105. 135 Calculate the highest common divisor of 776 and 97. 97 Calculate the highest common divisor of 10944 and 152. 152 Calculate the greatest common divisor of 945 and 189. 189 What is the highest common divisor of 76 and 722? 38 What is the highest common factor of 693 and 1287? 99 Calculate the greatest common divisor of 65 and 403. 13 Calculate the greatest common factor of 325 and 208. 13 Calculate the highest common divisor of 672 and 960. 96 What is the greatest common factor of 2355 and 45? 15 What is the greatest common factor of 9 and 531? 9 What is the greatest common factor of 336 and 126? 42 Calculate the highest common factor of 276 and 1173. 69 Calculate the highest common divisor of 1380 and 1248. 12 What is the highest common divisor of 480 and 11640? 120 What is the greatest common divisor of 25894 and 363? 121 What is the highest common divisor of 29321 and 109? 109 What is the greatest common factor of 54 and 144? 18 What is the greatest common factor of 14 and 350? 14 Calculate the highest common divisor of 168 and 134736. 168 Calculate the highest common divisor of 140 and 20. 20 What is the greatest common divisor of 16 and 2608? 16 What is the greatest common divisor of 276 and 2622? 138 Calculate the highest common factor of 3204 and 36. 36 What is the highest common factor of 96 and 60? 12 What is the highest common divisor of 1265 and 575? 115 Calculate the greatest common factor of 1596 and 196. 28 What is the highest common factor of 203 and 7? 7 What is the greatest common divisor of 370 and 1258? 74 What is the highest common divisor of 3634 and 322? 46 What is the greatest common factor of 32 and 16? 16 Calculate the highest common divisor of 108 and 6. 6 What is the highest common factor of 28 and 28? 28 Calculate the greatest common divisor of 11 and 41217. 11 Calculate the highest common divisor of 28577 and 17. 17 Calculate the greatest common divisor of 30 and 885. 15 What is the highest common divisor of 176 and 440? 88 What is the greatest common divisor of 10 and 1930? 10 What is the greatest common divisor of 4 and 500? 4 What is the highest common factor of 17 and 19771? 17 What is the greatest common factor of 8322 and 228? 114 Calculate the highest common divisor of 588 and 1246. 14 What is the greatest common factor of 294 and 7? 7 What is the greatest common divisor of 35 and 20? 5 Calculate the greatest common factor of 405 and 5508. 81 What is the greatest common divisor of 534 and 30? 6 Calculat
{ "pile_set_name": "DM Mathematics" }
4*v**2 + 2*v + 37. Let n be a(8). Solve k + 9 = -n*k for k. -3 Let n = 5 - -27. Let s = 37 - n. Solve -s*f + 2 = -18 for f. 4 Suppose 4*v = -0*v - 16. Let m(q) be the second derivative of q**3/6 + 2*q**2 + 14*q. Let z be m(v). Solve z*n = -n + 5 for n. 5 Let u be -1 - 2 - (-9 - -4). Let w = 76 + -76. Solve w = u*l - l + 5 for l. -5 Let b be ((-16)/24)/(2/(-9)). Suppose -b*q = -4*x - 3, 6 = -x - 2*x + 3*q. Suppose 0 = -2*w + x + 1. Solve 5*z = w*z - 6 for z. -2 Let u(a) = a**3 + 3*a**2 - 2*a - 1. Let z = 0 + 2. Let t be u(z). Suppose 5*d + 4*h = 3 + 4, 2*d - 2*h - 10 = 0. Solve -t = 2*w + d*w for w. -3 Let q(x) = -x**3 - 8*x**2 - x - 3. Let w be q(-8). Suppose 2*r + 2 = -p, w*p = 5*r + 27 + 23. Solve p = -0*h + 2*h for h. 3 Let j = -644 + 650. Solve -20 - 4 = j*m for m. -4 Suppose 3*k + 22 = 2*s, -14*s - 11 = -17*s - k. Solve 0 = -49*u + 50*u + s for u. -5 Suppose 2*t - 18 = 3*x, -2*x = -t - 0*x + 9. Suppose -4*b = -7 - t. Solve -2*h = -0 - b for h. 2 Let p(n) = 4*n**2 + 5*n + 8. Let o(q) = 3*q**2 + 5*q + 7. Let j(f) = -5*o(f) + 4*p(f). Let s be j(6). Suppose 3 = 3*w - s. Solve w*d = -3*d + 10 for d. 2 Let g(h) be the third derivative of h**5/20 + h**4/8 + h**3/3 + 11*h**2. Let r be g(-1). Solve -s = r*s for s. 0 Suppose y + 2*p = 9, 7 - 19 = -y - p. Solve 95*z + y = 90*z for z. -3 Suppose 10*x - 2597 + 2237 = 0. Solve -o = 8*o - x for o. 4 Suppose 2*x - 19 = -5. Suppose -x*t + 3*t - 32 = 0. Let m = 10 + t. Solve -3*b = -m*b for b. 0 Let w be 0 + (-7)/(28/(-48)). Let s be (2 + -1)/(w + -11). Suppose -a + 3 = -s. Solve 0 = a*p - 0*p + 4 for p. -1 Suppose 4*p + 0*p - 12 = 0. Let a be (p - 2) + 2 + 2. Suppose 0*t + a*t = 0. Solve -g + 5 = -t*g for g. 5 Suppose -3*p - 40 = -55. Solve 0 = -p*k + 18 - 3 for k. 3 Let q(i) = -2*i - 20. Let s(p) = -25*p - 240. Let o(j) = -35*q(j) + 3*s(j). Let g be o(-5). Solve l - g*l = 4 for l. -1 Suppose 3*q = q + 6. Let n = 1 - -5. Suppose -8*p - 12 = -9*p. Solve -n*r - p = -q*r for r. -4 Let n(q) = -q**3 + 6*q**2 - 5*q - 3. Let j be n(4). Suppose 15 = 3*l + 3*a, l + 3*a = j + 2. Solve l = o - 1 for o. 3 Suppose -3*a + 4 = 2*b, -5*a = b - 0*b - 2. Suppose -k + 3 = -2*h - 4*k, 0 = -4*h - 2*k - 2. Solve b*m + 8 = -h for m. -4 Let n(c) = -19*c + 7. Let r be n(3). Let p be r/(-18) + (-2)/(-9). Let o be p/(-5) - 39/(-15). Solve 4*f - 14 = o for f. 4 Let b(u) = 2*u + 9. Let o(y) = -y**2 - 6*y - 9. Let j be o(-5). Let v be b(j). Solve -2 = -w - v for w. 1 Suppose 2*k = 4*n + 58, -5*n = 5*k - 3*n - 169. Solve k + 15 = -16*j for j. -3 Suppose -9*t = 823 - 859. Solve 16 - t = -4*n for n. -3 Let t(i) = -2*i**2 - 19*i - 13. Let s be t(-9). Let g be -1 - -5 - s/(-2). Solve g*v = -2*v - 12 for v. -3 Suppose -3*c = -2*j + 4, 2*j - 4*j = -5*c. Let m be 1/4 + 2/(-8). Suppose m = -s + 6*s - 10. Solve 0 = s*w - 0 - c for w. 1 Let p = 86 + -60. Let y = 30 - p. Solve 0 = -y*a + a for a. 0 Let j = 43 - 96. Let l = j + 56. Solve l*z = -12 - 3 for z. -5 Let s = -34 + 37. Let x be ((-21)/14)/(3/(-14)). Suppose x + 14 = s*n. Solve -n*w = -3*w for w. 0 Suppose -3*a - 4 = -88. Suppose p + 26 = a. Solve -p*j + 1 = -7 for j. 4 Let k be -5*2*6/15. Let n be k - (4 - (6 + -3)). Let h = 9 + n. Solve h*p + 0 = -4 for p. -1 Let i be 2/3 + 52/(-6). Suppose 5*o - 5*s = 55, 0 = 5*o - s - 23 - 20. Let j = i + o. Solve j = -3*f - 16 + 1 for f. -5 Suppose -n + 7*c = 6*c - 14, -4*c - 26 = -2*n. Solve 11*a = 16*a - n for a. 3 Let a be -3*2*(-12)/9. Suppose 13*h - a*h = 0. Suppose -2*x + g - 4 + 12 = 0, -2*x - 5*g - 16 = 0. Solve -5*o + x*o - 15 = h for o. -5 Let a = -14 - -17. Suppose 2*m = -a*h + 2*h + 5, -8 = -h - 3*m. Let w be (0 - -2)/(h/(-3)). Solve w*n = n + 15 for n. 3 Let g(x) = x + 7. Let p be g(-2). Suppose 4*q = 4*z - 2*z - 32, -110 = -5*z - 5*q. Solve p*t - z = 10*t for t. -4 Let b(a) be the first derivative of -a**3/3 + 3*a**2/2 + 4*a + 1. Let l(i) = -i**2 + 24*i - 20. Let f be l(23). Let p be b(f). Solve -5*q + 6 = -p for q. 2 Let v(l) = 2*l**3 - 12 + 9 + 2 + l. Let a be v(1). Solve a*t - 6 = -0 for t. 3 Suppose -4*v = -a - 2, -5 = -4*a - 5*v + 8. Suppose 18 = 5*q - a. Suppose 3*i - q*i = 0. Solve -d + 2*d - 1 = i for d. 1 Let c(j) = 2*j + 8. Let p be c(-6). Let y(u) = u**3 + 5*u**2 + 3*u - 4. Let q be y(p). Suppose -t - t = q. Solve n + 2 + 2 = t for n. -4 Let g(h) = -h**3 - 5*h**2 - 4*h - 31. Let k be g(-6). Solve 4*q - 25 = -k for q. -1 Let o(q) = 33*q**3 - q**2 - 4*q + 4. Let r be o(1). Solve r - 7 = -5*v for v. -5 Let c(h) = -h**3 - 4*h**2 + 4*h + 10. Let k be c(-5). Suppose -7*r + 12*r = k. Solve o - r = 2*o for o. -3 Suppose -3*z + 2*f + 0*f = -19, 2*f = -z + 17. Suppose 0 = -4*h + 5*y + z, -h = -y - 2 - 0. Solve l + 0 - h = 0 for l. 1 Let k = 53 + -45. Suppose -2*o = 5*i - k, 4*o + i - 4 = 3*o. Solve m = o*m + 9 for m. -3 Let m be (1 - 4) + 1*6. Suppose -3*b + 0*i = -m*i - 39, 2*b = -4*i + 56. Suppose -3*z - 19 + 37 = 0. Solve 0 = 4*w - z + b for w. -3 Let i(u) = -3*u**2 + 30*u + 5. Let z be i(10). Suppose -w + 7 = -z. Solve -h = 2*h + w for h. -4 Let v be -1 + 2 + (-14)/(-2). Let a be 1 + 1 - -4*(-3)/(-2). Solve a = -4*p - v for p. -4 Let d = 13 + -13. Let z(p) = -4*p - 1. Let h be z(d). Let o be (9/(-6))/(h/2). Solve 5*c + o - 8 = 0 for c. 1 Let i = 207 - 175. Let k(b) = 2*b + 3. Let p be k(-8). Let x be (-6)/(-9) + p/(-3). Solve 0 = x*m + 7 - i for m. 5 Let q(m) = 3*m - 15. Let i be q(8). Let s be (8 + 0)/(-7 + i). Solve 0*b + s*b = 20 for b. 5 Let n = 25 + -7. Suppose -2*m + 0*m + 4 = 0. Let o = m + n. Solve -6*z + z = o for z. -4 Let u(z) = -186 + 0*z + z + 190 + 0*z. Let v(a) = -a - 3. Let t be v(0). Let q be u(t). Solve 5*o - q = 6*o for o. -1 Suppose 0 = 2*f - 13 + 101. Let n = -44 - f. Solve 4*s + 0*s + 8 = n for s. -2 Suppose -6*b = -b - 20. Suppose -4*a = 3*w + 2*w - 45, -b*a = -2*w + 46. Let m be ((-2)/(-4))/(w/26). Solve 2 = -x - m for x. -3 Let r be (7/(-2))/(9/(-180)*5). Solve -r*t = -12*t + 8 for t. -4 Let m(f) = f + 11. Let b be m(-7). Let w(k) = -k - 9. Let z be w(-13). Suppose -5 = -r - z. Solve 3 = -b*p - r for p. -1 Suppose 8*h = -4*p + 5*h - 678, 3*p = -3*h - 507. Let u be p/(-54) + (-4)/24. Solve 0 = -u*i - 16 + 4 for i. -4 Let s be (2/3*-18)/(-1). Solve -10*n = -14*n - s for n. -3 Suppose -h + 2 = -0. Let r(k) = -k**2 - 7*k + 10. Let c be r(-8). Let j = 35 - 29. Solve -h*a - j - c = 0 for a. -4 Let r(h) = -h**3 + 5*h**2 + 6*h + 3. Suppose 0 = -6*t + 4*t + 12. Let z be r(t). Suppose z*d + 19 = 5*m, d = 5*m + 2*d - 7. Solve m*x + 2 = 8 for x. 3 Let l = 64 - 39. Let w = -24 + l. Solve -5*j - 26 = -w for j. -5 Let n be (0/3)/(-23 - -25). Solve 308*s - 303*s + 20 = n for s. -4 Suppose -26*m + 13*m + 39 = 0. Solve -s - 2*s = -m for s. 1 Suppose -3*o = -4*s - 27 - 32, s + 44 = 3*o. Let q(h) = -3*h + 41. Let n be q(o). Solve 0 = -2*m + m - n for m. -2 Suppose -3*c = 5*x - 23, 2*x - x = 4*c. Let w = 8 - x. Suppose 16 = -w*t, 2*t = 3*p - 4*p - 8. Solve 2*j + 2 + p = 0 for j. -1 Let b be 13 + -10 + 20*1. Let r = 17 - b. Let a = 12 + r. Solve -j - j - a = 0 for j. -3 Suppose d + 506 = 545. Solve -20 = -34*v + d*v for v. -4 Suppose -802 = -49*v - 165. Solve -v*d = 5*d - d for d. 0 Let v be ((-6)/(-5))/(75/500). Solve -v = -5*t - 3 for t. 1 Let b(a) = -a + 18. Suppose -5*n - 41 = 6*f - 2*f, -f = 5*n + 29. Let m(y) = y**3 + 5*y**2 - 3*y - 3. Let u be m(n). Let l be b(u). Solve g = -2 + l for g. 4 Suppose 10*s = 6*s - 16, -m + s + 6 = 0. Solve f + 0 = m for f. 2 Let f(s) = s - 2. Let c be f(-1). Let q(u) = -u. Let t be q(c). Suppose -v + 26 = 5*z, 3*v - 2 = -3*z - v. Solve -t*x + 3 = z for x. -1 Let w be 167/3 + 20/(-30). Suppose -9*j + w = 10. Solve 10*h = j*h for h. 0 Let p = -31435 + 31435. Suppose -3*d - 4 = -13. Let f = 1 - 1. Solve f*z + d*z = p for z. 0 Let o be (-294)/(-28) - 9 - (-14)/4. Solve 3*a = -8 + o for a. -1 Let i(f) = f**2 - 49*f - 300. Let b be i(-6). Solve 0*g - 10*g + b = 0 for g. 3 Let h(g) = -g**2 - g. Let i be h(0). Solve 11*l + i*l + 55 = 0 for l. -5 Suppose -l - 5*o = -4 + 28, 5*l - 4*o = 25. Solve -3*d + 2*d = l for d. -1 Let y(j) = -7*j + 2*j + 11 - 16. Let u be y(-2). Solve -4*k + 7 + u = 0 for k. 3 Let m(w) = w**2 - 2*w - 1. Let n be m(6). Suppose -4*y - 13 = -4*j - 3*y, -j = 5*y + n. Let t be 0/(-1)*(-2)/j. Solve t = d + d for d. 0 Suppose -2*k + 10 = -j, -2*k = 5*j + 9 + 17. Let n = 1 - j. Le
{ "pile_set_name": "DM Mathematics" }
-1? 0 Which is the nearest to -2/9? (a) -4 (b) -18 (c) -2/9 c Which is the closest to -0.7? (a) -0.3 (b) -1/6 (c) -2/9 (d) -0.2 a Which is the nearest to -5? (a) 3 (b) -5 (c) -5/2 (d) 0.4 b What is the nearest to -1 in -2, 3, -0.1, -0.2? -0.2 Which is the nearest to 2/697? (a) 3 (b) 0 (c) -4 b Which is the closest to -0.433? (a) -0.5 (b) -0.3 (c) -4 (d) 3 a Which is the closest to 0.1? (a) -0.1 (b) 5 (c) 2/13 (d) -2/7 c What is the nearest to 0 in -0.5, 392, -4? -0.5 What is the closest to 0 in 0, -1.2, 0.3, 340? 0 What is the closest to 1/4 in 18, 2/5, -2/17, 4? 2/5 What is the nearest to 1.6 in -1/43, -4, -2? -1/43 Which is the nearest to 1? (a) 5/4 (b) -6 (c) 0.3 (d) -0.1 a What is the closest to -0.1 in 4, -2, -3, 1/18? 1/18 What is the closest to 3/7 in 5, -21, 0.5, 2/5? 2/5 Which is the closest to -1? (a) -2 (b) -0.1 (c) -8 b Which is the closest to -2? (a) 5/4 (b) 73 (c) -4/3 (d) -3/5 c What is the closest to 2 in -7, 2, 1? 2 Which is the closest to -1/2? (a) -5 (b) 0.4 (c) -1.3 (d) 0.2 d What is the nearest to 8 in 9, -2, 5? 9 What is the closest to 0 in -18, -0.5, -3/5, -2/3? -0.5 What is the nearest to 0 in 2, 3, -3/7, -12? -3/7 What is the closest to 0.1 in -0.09, -4, -2, -5? -0.09 What is the closest to 2 in -1, 0, -0.05, 2/7? 2/7 What is the nearest to 2/13 in 0.2, 4, -5, 3? 0.2 Which is the nearest to 1/6? (a) 17.6 (b) 0.4 (c) -0.7 b What is the nearest to -4 in -0.3, 0.3, -0.06? -0.3 What is the closest to -0.9 in -32, -13, 0? 0 Which is the closest to 3? (a) -3/2 (b) -3 (c) 2 (d) -0.4 c Which is the nearest to -2? (a) 0 (b) -0.183 (c) -3 (d) 0.5 c Which is the closest to 0? (a) -26 (b) 4 (c) 0 (d) 0.5 c Which is the closest to 3? (a) 0.32 (b) -1/7 (c) 3 c Which is the closest to -2? (a) -0.031 (b) 3/2 (c) 2 a Which is the closest to -9? (a) -4 (b) 0.4 (c) 0.1 a Which is the nearest to -5/4? (a) 2/17 (b) -1/4 (c) -3/5 (d) -1/5 c What is the closest to 0.2 in 0.2, 3/2, -4? 0.2 What is the nearest to 1 in 8, -5, -2/3? -2/3 What is the nearest to 6 in 0, -0.5, 5, 3? 5 Which is the nearest to -5? (a) -2/5 (b) -4/7 (c) 2 b What is the closest to 6 in 0, -5, 7, 0.09? 7 Which is the closest to 1/3? (a) -12 (b) 0 (c) -32 b Which is the closest to 1? (a) 2/7 (b) 1/4 (c) 1 (d) -0.06 c Which is the nearest to 4? (a) 9/2 (b) 2 (c) -2/23 (d) 1/3 a What is the nearest to -1 in -0.4, 0.1, -0.1, 63? -0.4 Which is the closest to -1? (a) -1 (b) 38 (c) 0.1 a What is the closest to 1 in 1, 1/9, 5, -11? 1 What is the nearest to -0.1 in 1, 5, -1/8, -0.1? -0.1 What is the nearest to -0.2 in -1/4, 2/7, 4/3, 0.4? -1/4 Which is the closest to 2/7? (a) 0 (b) -11 (c) -1/191 a Which is the closest to -2/15? (a) -0.2 (b) -5 (c) -1 a Which is the nearest to -1? (a) 5 (b) -2 (c) 87 b What is the nearest to 2/3 in -1, -0.5, -2, 2/3? 2/3 Which is the closest to -0.2? (a) 1/3 (b) 7/10 (c) 13 a Which is the nearest to 1? (a) 0.1 (b) -5 (c) -44 a What is the nearest to -0.1 in 2, 267, 1? 1 What is the closest to 0 in -0.5, 1, 72, 2/7? 2/7 What is the nearest to 4 in 2/9, -5/7, -0.4? 2/9 Which is the closest to 3? (a) -1 (b) 217 (c) -0.2 c Which is the nearest to 4? (a) -0.2 (b) 4 (c) 4/5 (d) 3 b What is the closest to 0 in 0, -12, 1/10? 0 Which is the closest to -2? (a) -0.3 (b) -3 (c) 0 b Which is the nearest to -0.1? (a) 0.7 (b) -3 (c) 40 (d) -0.3 d What is the nearest to -1/2 in -4, -1/6, -3, -12? -1/6 What is the nearest to -3 in 2/7, 1/2, 0.122? 0.122 What is the closest to 0.06 in 4, -3, -5, -2? -2 Which is the closest to -0.1? (a) -1/6 (b) -0.1 (c) -4 (d) 0.1 b Which is the nearest to 0? (a) -1/3 (b) 3/7 (c) 103/3 a What is the closest to 1/3 in -3, -1, 5, -4? -1 What is the nearest to 1/4 in -2/5, 1, 0.4, 2? 0.4 What is the closest to -4 in 0.5, 2, -3, -2? -3 What is the nearest to 44 in 0.6, -1/4, 2/11? 0.6 What is the nearest to -1 in -2/11, 5, -1? -1 Which is the nearest to -1/4? (a) -0.4 (b) -5/4 (c) -3/2 (d) 9 a What is the nearest to 1/7 in 31, 4, 3, 2? 2 What is the closest to -6 in 3/7, -2/3, -0.1, -1/5? -2/3 What is the closest to 1 in 0.2, -1/61, 2/17? 0.2 Which is the nearest to -5/6? (a) -1 (b) 1/5 (c) -24 a Which is the closest to 11? (a) 1.5 (b) 2/13 (c) 5 c Which is the closest to 13/3? (a) 3/98 (b) -3/4 (c) -1/4 a Which is the closest to -3? (a) 5 (b) 0 (c) -1 c What is the nearest to -1 in 0.3, 6, 0? 0 Which is the closest to 0? (a) -3 (b) 5 (c) 6 a What is the closest to 0 in 2/11, -3, 0.6, -4? 2/11 What is the closest to -2 in -12, 0.4, 0.04? 0.04 Which is the closest to 1? (a) 7 (b) 0 (c) 235 b What is the nearest to -10 in 0, -1/6, -2/13, 0.5? -1/6 Which is the nearest to -0.1? (a) -0.24 (b) -28 (c) -2 (d) -0.5 a What is the nearest to 4 in 22, -4/3, 5, -4? 5 What is the nearest to 0 in -6, -0.2, 19? -0.2 What is the closest to -2 in -0.3, 3/19, 4, -5? -0.3 What is the closest to 0.1 in 4/7, -4, 46/7? 4/7 Which is the nearest to 0.3? (a) 20 (b) 0.5 (c) -2/3 (d) 0.4 d What is the closest to 2/5 in -5, 2, -1/5, -0.06? -0.06 Which is the closest to 2? (a) -1/3 (b) -0.4 (c) -0.1 c Which is the nearest to -2/19? (a) 2 (b) -3 (c) -17/4 (d) -17 a What is the nearest to 2 in 4/23, -5/2, -0.04, 3? 3 Which is the nearest to -2/5? (a) -0.16 (b) 3 (c) -0.03 (d) -3 a What is the nearest to -3/77 in 2, -0.4, 3? -0.4 Which is the closest to 0.1? (a) -3 (b) 2 (c) -7/3 b What is the closest to -0.1 in 2, -2/9, 1/282? 1/282 What is the nearest to 4 in 0.5, -0.7, -0.1, -0.02? 0.5 Which is the nearest to 1? (a) -0.11 (b) 2/7 (c) -3/4 (d) 23/3 b Which is the closest to -2? (a) 0.097 (b) -1/2 (c) 4 b What is the nearest to 0.1 in -0.1, -4, -2/5, -1/4? -0.1 What is the nearest to 9/4 in 2, -54, -5? 2 Which is the closest to 2? (a) 0.02 (b) 1 (c) 0.22 b Which is the closest to -11? (a) 0.4 (b) 1/6 (c) -1 c What is the closest to 107 in 5, -1, 1/4? 5 Which is the nearest to 2? (a) -3 (b) 1/2 (c) -5 b Which is the closest to -0.05? (a) -2/3 (b) 0.15 (c) 3 b What is the nearest to 1 in 4, 2/13, 90? 2/13 What is the closest to 8 in -26, -0.03, -0.3, 5? 5 What is the closest to -1 in -9, 2, 0.2, 1/3? 0.2 Which is the closest to -0.1? (a) -53 (b) -4 (c) 0 c Which is the closest to -2/5? (a) 1/4 (b) -144 (c) -1 c Which is the nearest to -1/7? (a) -1/4 (b) -5 (c) -3 (d) -0.5 a Which is the nearest to -533? (a) -4 (b) -0.3 (c) -5/6 (d) 3 a Which is the closest to 3? (a) 3/5 (b) -0.4 (c) 1.14 c Which is the nearest to 8? (a) -0.9 (b) -1 (c) -2/7 c What is the nearest to 3 in 379, 0.2, 0.3? 0.3 What is the closest to -4 in -4, 3, -2? -4 Which is the closest to -67/3? (a) -0.4 (b) 2 (c) -3 c Which is the nearest to -0.1? (a) 0.1 (b) -0.5 (c) -1/11 (d) -1/5 c What is the nearest to 0 in -1/7, 3, -3/8, 0.4? -1/7 Which is the closest to 1? (a) -1/3 (b) 3/2 (c) -4 (d) 2 b What is the nearest to 1 in -0.2, -1, 7, 2? 2 Which is the nearest to -0.19? (a) 3/5 (b) 1 (c) 0 c What is the closest to 1/25 in 3, -4/7, -46? -4/7 What is the closest to 1.2 in 14, -3/4, 0.4, 4? 0.4 Which is the nearest to 28? (a) -3/2 (b) -3 (c) 3 (d) 2 c What is the closest to 16 in 5, -2, 1, -4? 5 Which is the nearest to 2/23? (a) 1 (b) -2/5 (c) -2 (d) 1.1 b What is the nearest to -66 in -1/19, 3, -0.2? -0.2 Which is the nearest to 0.2? (a) 0.021 (b) 11 (c) -1/3 a Which is the nearest to 3/7? (a) -16 (b) 0.3 (c) -2/5 (d) 0.5 d What is the closest to 1 in 3, 3/7, 13, 5/4? 5/4 What is the nearest to 0.1 in 2, 1, -5/9, -3? -5/9 What is the closest to -93 in -2/9, -5, 0.4? -5 Which is the nearest to 4/5? (a) -3 (b) -5 (c) 1 c Which is the closest to -1.7? (a) 3/2 (b) 3 (c) -1 (d) -1/4 c What is the closest to 3/10 in -6, 0.1, 12? 0.1 What is the nearest to 0.16 in -0.1, -6, -2/5? -0.1 What is the nearest to -3/4 in 7, 4, -4, 0.1? 0.1 What is the nearest to -99/2 in 1/4, 1/5, 0.4? 1/5 What is the nearest to -1 in 1/5, 0.3, -0.3, 4? -0.3 Which is the nearest to 0.2? (a) -0.1 (b) 2/17 (c) -4 b Which is the closest to -2? (a) -0.19 (b) -180 (c) -0.2 c What is the closest to 1 in 0.6, 4, 4/9, 0? 0.6 Which is the nearest to 0? (a) 0 (b) -23 (c) -1 a Which is the near
{ "pile_set_name": "DM Mathematics" }
is -a3596 - -40? -a3556 In base 5, what is 20 - -313043124? 313043144 In base 6, what is 23031 + -313102? -250031 In base 3, what is 2201 + -201100222? -201021021 In base 5, what is 143 - 3044020030? -3044014332 In base 4, what is -210 - -2110321101? 2110320231 In base 15, what is 15bac3 - 14? 15baae In base 12, what is -b3312 - 124? -b3436 In base 4, what is -33121211 + 12211? -33103000 In base 11, what is -70260 + 4699? -66672 In base 8, what is 150 + 7673? 10043 In base 6, what is -23445023350 - 2? -23445023352 In base 11, what is 360 - -20323? 20683 In base 3, what is 1212102021020 + -100010? 1212101221010 In base 11, what is 3 - 122064157? -122064154 In base 11, what is -a67 - -1924? 968 In base 5, what is -322 - 14421112? -14421434 In base 7, what is 2162 + 2062353? 2064545 In base 6, what is 324325331 + -11? 324325320 In base 7, what is -51016015 + -205? -51016223 In base 9, what is -1 + -4802745? -4802746 In base 8, what is 26100 + 25? 26125 In base 15, what is -9 - 37dcd4? -37dcdd In base 4, what is 200332013003 + -12? 200332012331 In base 15, what is -68e - 141cd3? -142472 In base 13, what is -80a444 - -19? -80a428 In base 4, what is 2310320 + 102210? 3013130 In base 3, what is 220220222011212 + 1010? 220220222012222 In base 15, what is -2305 - -36b3? 13ad In base 15, what is -1c575 + 60? -1c515 In base 10, what is -18998115 + 6? -18998109 In base 15, what is -6c0 - -573a? 506a In base 3, what is 11221112 + 1022221222? 1111220111 In base 11, what is -13850 - 990? -14730 In base 2, what is 1000110110110010100101001 - 101010? 1000110110110010011111111 In base 8, what is 1020 + 21344? 22364 In base 9, what is 117268037 - 6? 117268031 In base 15, what is ddedd48 + -3? ddedd45 In base 9, what is -24 - 5214357? -5214382 In base 2, what is 11011111100 - -1001000010011? 1100100001111 In base 14, what is -19156 + -1da0? -1b116 In base 16, what is 40b8ab - -20? 40b8cb In base 7, what is 5 - 145231226? -145231221 In base 15, what is 26a + 7cb? a46 In base 2, what is -110101111101010001000001 - -1000001? -110101111101010000000000 In base 15, what is 0 - -219215? 219215 In base 7, what is -35245464 + -4? -35245501 In base 15, what is 5 + -925328? -925323 In base 10, what is -164504059 + 0? -164504059 In base 13, what is -27 - -2067cb? 2067a4 In base 7, what is -14306266 + -31? -14306330 In base 10, what is -989 + 84? -905 In base 2, what is 11010001100111110000101111 + 0? 11010001100111110000101111 In base 11, what is 6 - 19736464? -19736459 In base 3, what is 2020211222002 - 10112? 2020211211120 In base 11, what is -1 + 1330004? 1330003 In base 12, what is -47923a7 + 2? -47923a5 In base 4, what is 211021030 + -211? 211020213 In base 11, what is -1 - -938390? 93838a In base 2, what is -100111111100000 + 10110110100? -100101000101100 In base 5, what is -4204030 + 21101? -4132424 In base 6, what is 3334 + 31345? 35123 In base 2, what is -11000001110 + -10010100110101? -10101101000011 In base 3, what is -12 + 20201222002101120? 20201222002101101 In base 7, what is 1323012 + -4? 1323005 In base 12, what is -1170 + -2643? -37b3 In base 7, what is 400 + 12531503? 12532203 In base 2, what is 10100000100011010100 - 1110110111? 10100000010100011101 In base 2, what is 11 + -101100001100111001010100? -101100001100111001010001 In base 13, what is -b2 + 659875? 659793 In base 15, what is 11815 - a2? 11763 In base 8, what is -14155 - -401056? 364701 In base 5, what is 0 - 1230041214? -1230041214 In base 13, what is 96a + 121c8? 12b65 In base 8, what is 2 - 5765746? -5765744 In base 2, what is -1100101000111000001 + 1000100? -1100101000101111101 In base 10, what is -5 + -219709262? -219709267 In base 2, what is -100010111101 + -10011011? -100101011000 In base 6, what is 1553 - -415344? 421341 In base 5, what is -111021223 + 14? -111021204 In base 4, what is -100002122320 + -11? -100002122331 In base 3, what is -120102201 + 102011? -120000120 In base 12, what is 2a0292 - -32? 2a0304 In base 4, what is 120 - -1302131122131? 1302131122311 In base 5, what is 441244034 - -41? 441244130 In base 5, what is 102034 - 10201? 41333 In base 6, what is -421510 + 2252? -415214 In base 14, what is 20cd + -6451? -4362 In base 12, what is 271284898 - -2? 27128489a In base 3, what is -2222022202011 + -1? -2222022202012 In base 8, what is 33105 - 7511? 23374 In base 10, what is 4441 - 22762? -18321 In base 14, what is -2 + 288508? 288506 In base 10, what is -122459 + -282? -122741 In base 7, what is 15461641 - -5? 15461646 In base 2, what is 1000101001101010101100 + 100? 1000101001101010110000 In base 2, what is -110011 + -11101111100101001? -11101111101011100 In base 5, what is -203113244234 + 3? -203113244231 In base 9, what is 7482 - -1448? 10041 In base 12, what is 1123 + 37b9? 4920 In base 3, what is -210212002111222 - 0? -210212002111222 In base 8, what is -656053607 + 0? -656053607 In base 7, what is 1330113222 - 4? 1330113215 In base 8, what is 27110 - -156? 27266 In base 5, what is -313001123 - 1? -313001124 In base 5, what is 2323040032 - 32? 2323040000 In base 2, what is -100010101000000111 - 1100111? -100010101001101110 In base 7, what is -1042554 - -1633? -1040621 In base 5, what is 24 - -3124400? 3124424 In base 12, what is 22a28 + 58? 22a84 In base 2, what is -11000 + 110111000010001101? 110111000001110101 In base 12, what is 1428370 + -16? 1428356 In base 13, what is 8 - -12469c8? 1246a03 In base 2, what is 11101000101000001100 - 11011? 11101000100111110001 In base 11, what is -29383 - -2532? -26951 In base 7, what is 201512 + -324? 201155 In base 13, what is 53 - 14b4a? -14ac7 In base 9, what is -681316 - 30? -681346 In base 7, what is -233 + -20604322? -20604555 In base 8, what is 777323 - 3026? 774275 In base 7, what is 3043521 - -11? 3043532 In base 12, what is -167a4b + b? -167a40 In base 13, what is 42 - -37b61? 37ba3 In base 12, what is -32464a42 - -3? -32464a3b In base 4, what is -2022003 - 1001231? -3023300 In base 10, what is 4253 - 9628? -5375 In base 11, what is -129352962 - 2? -129352964 In base 15, what is 16d8d - -b7? 16e55 In base 9, what is -11071214 - -1? -11071213 In base 15, what is 1c1dc + 16? 1c203 In base 5, what is -4 - -101434134? 101434130 In base 14, what is 8786 - -da58? 18400 In base 13, what is -19 + -70040? -70059 In base 12, what is -846 - 107875? -1084bb In base 10, what is 574 + 795? 1369 In base 5, what is 3222114 - -314? 3222433 In base 7, what is -11030260 - -114? -11030143 In base 4, what is 11212213013000 - 3? 11212213012331 In base 13, what is 49433 - 101? 49332 In base 14, what is 3753bd - 2c? 375391 In base 4, what is -11 - 10231022013? -10231022030 In base 6, what is 0 - 10334002? -10334002 In base 15, what is -74685b - -85? -7467c6 In base 5, what is 1130103342330 - 2? 1130103342323 In base 12, what is 2229720 - 8? 2229714 In base 3, what is -1 + -1022121211110011? -1022121211110012 In base 5, what is -403 + -10113202024? -10113202432 In base 3, what is 1012122220 + -22? 1012122121 In base 12, what is -9b + -294519? -2945b8 In base 15, what is 411 + 2d3eb? 2d80c In base 11, what is -177919 + -3968? -180786 In base 10, what is -1228 + -104140? -105368 In base 7, what is -41 + 12240? 12166 In base 2, what is -1100110110001001 + -101? -1100110110001110 In base 5, what is -132 - -141213340? 141213203 In base 3, what is -10 + 11102101100020? 11102101100010 In base 10, what is 17178337 + -6? 17178331 In base 6, what is 3 - 41511553122? -41511553115 In base 4, what is -12110131 - 0? -12110131 In base 7, what is 34203 - 602365? -535162 In base 11, what is 1864 + -1403? 461 In base 14, what is 149 - -85d8a? 860d5 In base 2, what is 11 + -100101011001000000110110111? -100101011001000000110110100 In base 13, what is 12 + 428319? 42832b In base 12, what is -9473 - 5487? -1293a In base 3, what is -1110112 - 2102111110120? -2102112221002 In base 8, what is 6 + -1506446077? -1506446071 In base 8, what is -572 - 66527? -67321 In base 13, what is 12c8987 + 2? 12c8989 In base 16, what is 3 - -90f456? 90f459 In base 8, what is -16716133310 + -4? -16716133314 In base 6, what is -4 + -14532001? -14532005 In base 3, what is -1 - -10202020120221200? 10202020120221122 In base 9, what is -12 + 848053? 848041 In base 7, what is 104443210 + 3
{ "pile_set_name": "DM Mathematics" }
y 92. 50 What is the remainder when 4156 is divided by 42? 40 What is the remainder when 820 is divided by 104? 92 What is the remainder when 117 is divided by 113? 4 Calculate the remainder when 313 is divided by 62. 3 What is the remainder when 4416 is divided by 20? 16 What is the remainder when 4554 is divided by 21? 18 Calculate the remainder when 103 is divided by 41. 21 What is the remainder when 15 is divided by 10? 5 What is the remainder when 36 is divided by 17? 2 Calculate the remainder when 4893 is divided by 38. 29 What is the remainder when 19 is divided by 11? 8 Calculate the remainder when 636 is divided by 15. 6 Calculate the remainder when 29590 is divided by 137. 135 Calculate the remainder when 120 is divided by 18. 12 What is the remainder when 2833 is divided by 1404? 25 Calculate the remainder when 259 is divided by 66. 61 Calculate the remainder when 92 is divided by 26. 14 Calculate the remainder when 4162 is divided by 2080. 2 What is the remainder when 802 is divided by 48? 34 What is the remainder when 3703 is divided by 247? 245 What is the remainder when 217 is divided by 68? 13 Calculate the remainder when 93 is divided by 41. 11 What is the remainder when 152 is divided by 11? 9 What is the remainder when 417 is divided by 70? 67 What is the remainder when 143 is divided by 8? 7 Calculate the remainder when 93 is divided by 47. 46 Calculate the remainder when 68 is divided by 7. 5 Calculate the remainder when 110684 is divided by 471. 470 What is the remainder when 76 is divided by 40? 36 What is the remainder when 49 is divided by 7? 0 Calculate the remainder when 2477 is divided by 130. 7 What is the remainder when 1454 is divided by 81? 77 Calculate the remainder when 682 is divided by 38. 36 What is the remainder when 59 is divided by 39? 20 Calculate the remainder when 747 is divided by 75. 72 Calculate the remainder when 292 is divided by 43. 34 Calculate the remainder when 2142 is divided by 143. 140 What is the remainder when 109 is divided by 16? 13 Calculate the remainder when 4408 is divided by 90. 88 What is the remainder when 3130 is divided by 18? 16 What is the remainder when 304 is divided by 64? 48 Calculate the remainder when 14 is divided by 5. 4 What is the remainder when 368 is divided by 9? 8 Calculate the remainder when 157 is divided by 22. 3 Calculate the remainder when 1562 is divided by 36. 14 What is the remainder when 282 is divided by 152? 130 Calculate the remainder when 153 is divided by 14. 13 What is the remainder when 105 is divided by 38? 29 What is the remainder when 593 is divided by 9? 8 What is the remainder when 109 is divided by 28? 25 Calculate the remainder when 1009 is divided by 250. 9 Calculate the remainder when 640 is divided by 319. 2 Calculate the remainder when 499 is divided by 56. 51 Calculate the remainder when 543 is divided by 17. 16 Calculate the remainder when 932 is divided by 72. 68 What is the remainder when 719 is divided by 121? 114 Calculate the remainder when 52 is divided by 48. 4 What is the remainder when 146 is divided by 62? 22 Calculate the remainder when 256 is divided by 173. 83 Calculate the remainder when 477 is divided by 80. 77 Calculate the remainder when 289 is divided by 142. 5 Calculate the remainder when 2858 is divided by 4. 2 Calculate the remainder when 100 is divided by 31. 7 What is the remainder when 672 is divided by 7? 0 What is the remainder when 8063 is divided by 128? 127 What is the remainder when 1233 is divided by 1114? 119 What is the remainder when 79 is divided by 51? 28 What is the remainder when 191 is divided by 48? 47 Calculate the remainder when 271 is divided by 52. 11 Calculate the remainder when 173 is divided by 3. 2 What is the remainder when 2337 is divided by 36? 33 What is the remainder when 411 is divided by 142? 127 What is the remainder when 311 is divided by 187? 124 Calculate the remainder when 61 is divided by 40. 21 Calculate the remainder when 193 is divided by 13. 11 What is the remainder when 1810 is divided by 261? 244 What is the remainder when 4013 is divided by 1993? 27 What is the remainder when 522 is divided by 160? 42 Calculate the remainder when 173 is divided by 33. 8 Calculate the remainder when 116 is divided by 9. 8 What is the remainder when 125 is divided by 10? 5 What is the remainder when 364 is divided by 8? 4 Calculate the remainder when 206 is divided by 19. 16 Calculate the remainder when 234 is divided by 71. 21 What is the remainder when 142 is divided by 135? 7 What is the remainder when 255 is divided by 20? 15 What is the remainder when 327 is divided by 15? 12 What is the remainder when 604 is divided by 121? 120 What is the remainder when 1023 is divided by 103? 96 Calculate the remainder when 242 is divided by 25. 17 Calculate the remainder when 26 is divided by 13. 0 Calculate the remainder when 980 is divided by 57. 11 Calculate the remainder when 1023 is divided by 114. 111 What is the remainder when 23 is divided by 16? 7 What is the remainder when 9976 is divided by 17? 14 Calculate the remainder when 276 is divided by 187. 89 What is the remainder when 106 is divided by 28? 22 What is the remainder when 133 is divided by 19? 0 Calculate the remainder when 137 is divided by 10. 7 Calculate the remainder when 81 is divided by 9. 0 What is the remainder when 958 is divided by 15? 13 Calculate the remainder when 254 is divided by 128. 126 Calculate the remainder when 793 is divided by 101. 86 Calculate the remainder when 166 is divided by 48. 22 Calculate the remainder when 2908 is divided by 725. 8 What is the remainder when 14120 is divided by 132? 128 What is the remainder when 714 is divided by 73? 57 Calculate the remainder when 109 is divided by 29. 22 Calculate the remainder when 46 is divided by 32. 14 What is the remainder when 14869 is divided by 169? 166 Calculate the remainder when 40 is divided by 9. 4 Calculate the remainder when 1617 is divided by 67. 9 Calculate the remainder when 1212 is divided by 81. 78 Calculate the remainder when 56 is divided by 9. 2 What is the remainder when 62 is divided by 4? 2 What is the remainder when 530 is divided by 20? 10 Calculate the remainder when 7004 is divided by 61. 50 Calculate the remainder when 1169 is divided by 50. 19 Calculate the remainder when 321 is divided by 36. 33 What is the remainder when 61 is divided by 11? 6 What is the remainder when 111 is divided by 57? 54 Calculate the remainder when 3521 is divided by 25. 21 What is the remainder when 1301 is divided by 7? 6 Calculate the remainder when 6981 is divided by 72. 69 What is the remainder when 62 is divided by 19? 5 What is the remainder when 191 is divided by 12? 11 What is the remainder when 32 is divided by 17? 15 Calculate the remainder when 163 is divided by 10. 3 What is the remainder when 173 is divided by 105? 68 What is the remainder when 209 is divided by 61? 26 Calculate the remainder when 722 is divided by 12. 2 Calculate the remainder when 404 is divided by 29. 27 What is the remainder when 266 is divided by 107? 52 What is the remainder when 498 is divided by 5? 3 Calculate the remainder when 181 is divided by 20. 1 What is the remainder when 1866 is divided by 75? 66 Calculate the remainder when 7 is divided by 1. 0 What is the remainder when 70 is divided by 28? 14 What is the remainder when 526 is divided by 96? 46 Calculate the remainder when 61 is divided by 26. 9 Calculate the remainder when 49 is divided by 23. 3 Calculate the remainder when 808 is divided by 136. 128 Calculate the remainder when 56 is divided by 31. 25 Calculate the remainder when 239 is divided by 86. 67 Calculate the remainder when 659 is divided by 45. 29 Calculate the remainder when 138 is divided by 20. 18 What is the remainder when 313 is divided by 137? 39 What is the remainder when 99 is divided by 4? 3 Calculate the remainder when 76 is divided by 10. 6 What is the remainder when 60 is divided by 45? 15 Calculate the remainder when 8593 is divided by 20. 13 What is the remainder when 162 is divided by 34? 26 What is the remainder when 2973 is divided by 20? 13 Calculate the remainder when 6 is divided by 4. 2 What is the remainder when
{ "pile_set_name": "DM Mathematics" }
j. What is the units digit of j? 0 Let h(y) = 48*y**2 - 32*y - 237. What is the thousands digit of h(-14)? 9 Let d(m) be the third derivative of 53*m**4/24 + 5*m**3 + 94*m**2. What is the units digit of d(5)? 5 Let t(s) = -49*s**2 - 8*s + 5. Let p be t(3). Suppose -3*z + 2*x = 2056, -3*z = -6*z - x - 2050. Let q = p - z. What is the hundreds digit of q? 2 Let r(j) = 16260*j**3 + 10*j**2 - 12*j + 4. What is the tens digit of r(1)? 6 Let u = 4868 - 3221. What is the hundreds digit of u? 6 Suppose 43*b + 98*b = 515355. What is the units digit of b? 5 Let n(z) = -z**2 - 17*z + 135. Let c be n(-23). What is the hundreds digit of (-12)/8*9468/(-27) - c? 5 Suppose 5*s + 1958 = 3*m - 1063, 2*m - s - 2021 = 0. Let f = m + 343. What is the hundreds digit of f? 3 Suppose 14*x = 18*x - 3912. Suppose 82 + x = 5*c. Suppose -2*w = 50 - c. What is the tens digit of w? 8 Let m be 3/4 - 10/(-8). What is the units digit of 28101/133 - m/7? 1 Let p(h) = 360*h**2 - 3*h + 2. Let n be p(-1). Let x = 93 + n. What is the tens digit of x? 5 Let x = 143 - 102. Suppose 0 = x*p - 17*p - 456. What is the units digit of p? 9 Let q = 0 + 17. Let f = 263 + q. What is the units digit of f? 0 Let g = -40669 + 65350. What is the units digit of g? 1 Suppose 0 = -26*d + 361027 - 94687 + 118252. What is the units digit of d? 2 Let z(h) = -1 + 3 + 0*h + 53*h**2 + 4 + 3*h + 3*h. What is the tens digit of z(-1)? 5 Let l(p) = -2*p**3 + 16*p**2 + 2. Suppose a - 73 = -2*a + k, 123 = 5*a - k. Suppose -8*u = -3*r - 7*u + a, 5*u + 41 = 3*r. What is the tens digit of l(r)? 0 Let b = 523 - -86. Let m = b + -194. Suppose -11*t + 223 = -m. What is the units digit of t? 8 Suppose -186*d + 967722 + 5481045 = -911439. What is the tens digit of d? 7 Suppose -2*u - 12 + 2 = 3*f, -2*f = -3*u + 24. What is the hundreds digit of 11140/44 + -2 + f/33? 2 What is the hundreds digit of (-6 - -17) + (-32 - -5666)? 6 Let u = 114 - 204. Let i = 102 + u. What is the units digit of ((i/(-18))/(-2))/((-1)/(-33))? 1 Let m(a) = -2 + 1 + 5*a**2 + 6*a + 3. Let i be (-3 + 20/12)/(2/6). What is the units digit of m(i)? 8 Suppose 4*n + 2*s = 5*n - 4239, -5*n + s + 21258 = 0. What is the tens digit of n? 5 Let l(n) = n - 1. Let u be l(4). Suppose 1746 = u*p + 2*w, -2*p - 6*w = -8*w - 1164. What is the hundreds digit of p? 5 Let u be (-13 + 9)*(-1 + 0)*775. What is the tens digit of (-80)/12 - -7 - u/(-6)? 1 Let l(b) = 2*b**3 - 22*b**2 + 14*b + 23. Let w be l(10). Let u(n) = -n**3 + 8*n**2 - 2*n + 2. Let g be u(6). Let j = g + w. What is the tens digit of j? 2 Suppose 4*s = 2*c + 24, 0 = 5*s - 4*c - 0 - 30. Let z be (s/(-3) - -1)/((-2)/6). Suppose 0 = -m - z*m + 424. What is the units digit of m? 6 Let h(k) = 155*k - 1482. What is the units digit of h(77)? 3 Suppose -2*i = 5*d + 6, 0 = 5*i + 4*d + 4 + 11. What is the units digit of 918*i/(-8) + 15/20? 5 Let z(f) = -3*f + 4587. What is the units digit of z(-32)? 3 Let w(q) = 9*q**3 + 51*q**2 + 12*q + 13. What is the hundreds digit of w(-5)? 1 Suppose 245*y - 15404 = 244*y - 5*m, 0 = 4*y + 5*m - 61541. What is the hundreds digit of y? 3 Let z(l) = 12*l**2 - 47*l + 75. What is the units digit of z(-5)? 0 Let r be (-2)/((1/(-20))/(2/(-4))). Let t = 23 + r. Suppose -z - t = -20. What is the units digit of z? 7 Let g be (-88)/(-12) - (-5)/(45/6). Let s be (-1450)/(-8) + ((-18)/g - -2). Let p = s - 71. What is the tens digit of p? 1 Let x = 26998 - 16824. What is the thousands digit of x? 0 Suppose 132 = -7*q + 209. Let t = -2 + 7. Suppose -q = -t*z + 254. What is the units digit of z? 3 Let j = 2336 - -734. Suppose -4*y - 3844 = -12*p + 7*p, -4*p = 2*y - j. What is the hundreds digit of p? 7 Let f(l) be the second derivative of l**5/20 - l**4/6 + l**3/3 + 99*l**2 - 5*l - 1. What is the units digit of f(0)? 8 Let k(v) = 369*v**2 + 40*v + 182. What is the units digit of k(-5)? 7 Let y(i) = -i**3 - 17*i**2 + 18*i + 10. Suppose -25*v - 414 = -2*v. What is the tens digit of y(v)? 1 Suppose -15003 - 35901 = -3*c. Suppose 0 = w - 8*w - c. What is the tens digit of w/(-20) + (-5)/25? 2 Suppose 0 = 2*a + 4*w - 5*w - 1524, 4*a - 5*w = 3054. What is the tens digit of a? 6 Suppose -8871 + 200404 = 4*c + 3*p, -95771 = -2*c - p. What is the hundreds digit of c? 8 Suppose -94*v + 34*v + 53576 = -23*v. What is the tens digit of v? 4 Let v = 61547 + -27901. What is the hundreds digit of v? 6 Suppose -4*w = -4*z + 124, -7*w - 25 = -z - 3*w. Let i(x) = -x**2 + 43*x - 147. What is the hundreds digit of i(z)? 1 Let l be -2 - (467*-1 - -1). Suppose m = -2*y + 4141 - 4383, -3*m - 724 = 4*y. Let c = m + l. What is the hundreds digit of c? 2 What is the thousands digit of 25367 - (-12)/18*-18? 5 Let r = 572 + -243. Let c = 666 - r. Suppose -7*m = -307 - c. What is the tens digit of m? 9 Suppose 0 = -3*q + 4*y + 175817, 117202 = 2*q - 22*y + 18*y. What is the hundreds digit of q? 6 Let t = 193 - -22. Let n be (-161 - (11 + -12)) + 14. Let b = n + t. What is the units digit of b? 9 Suppose -3*o + 3*q = -7332, 5*o + 14*q - 12230 = 17*q. Let c = -1728 + o. What is the tens digit of c? 2 Suppose 0 = 50*i - 57268 - 148800 - 98832. What is the units digit of i? 8 Let v = -56 + 88. Suppose -v*m - 336 = -38*m. What is the tens digit of m? 5 Suppose -57 + 0 = -19*i. Let z(o) = 224*o + 138. What is the units digit of z(i)? 0 Suppose 36180 = 4*w - 3*n + 5*n, -w + 9054 = 5*n. What is the hundreds digit of w? 0 Let m = -20850 - -44524. What is the tens digit of m? 7 Suppose 210*u - o = 212*u - 15783, -u - 4*o = -7881. What is the thousands digit of u? 7 What is the units digit of 4/46 - (-8704374)/782? 1 Suppose -2*m - 2 = 0, 174*m = -5*i + 178*m + 47994. What is the units digit of i? 8 Let h = -5173 - -32117. What is the units digit of h? 4 Let m(b) be the first derivative of 8*b**3/3 - 13*b**2/2 - 43*b + 172. What is the hundreds digit of m(-11)? 0 Suppose 216*v + 21 = 209*v. What is the units digit of -6*(v + (-580)/8 + 0)? 3 Let i(x) = 210*x - 264. Let y be i(5). Suppose -y = -3*j + 870. What is the tens digit of j? 5 Let v(t) = -617*t**3 + 9*t**2 - 2*t + 1. Let o(i) = -i**3 - 2*i**2 + i. Let f(n) = 4*o(n) + v(n). What is the tens digit of f(-1)? 2 Let l = -20060 + 47352. What is the tens digit of l? 9 What is the hundreds digit of (-756)/(-10)*(-15500)/(-465)? 5 Suppose -6*v - 4*l - 1804 = -11*v, -12 = -3*l. Let k = 367 + v. What is the tens digit of k? 3 Let o = 3468 - 1181. What is the hundreds digit of o? 2 Suppose 0 = 3*n - 3*f - 24534, -3*n - 4*f + 9878 + 14628 = 0. What is the hundreds digit of n? 1 Let t = -423 + -213. What is the units digit of 30/(-5) + 6 - (2 + t)? 4 Let i(b) = -2*b - 9. Let a be i(-7). Let v(u) = 1. Let c(r) = 2*r**2 - 5*r + 20. Let m(k) = a*v(k) + c(k). What is the units digit of m(6)? 7 Let i(b) = -364*b - 2347. What is the thousands digit of i(-34)? 0 Let n(f) = 8*f**2 - 7*f + 8. Let l(o) = o**3 + 23*o**2 - 21*o + 24. Let u(b) = 2*l(b) - 7*n(b). Let w be u(4). What is the units digit of (w/36)/(2/(-354))? 9 Let h be (-52)/(-16) + -3 + (-114)/(-24). Suppose -2*r - h*x = -2*x - 1776, -5*r = -2*x - 4459. What is the hundreds digit of r? 8 Suppose -166*h = -159*h - 42. What is the hundreds digit of h + 19740/24 + (-1)/(-2)? 8 Let n(f) = 2*f**3 + f**2 - 6*f + 1. Suppose 2*d + 21 = -39. Let t be 20/8*d/(-25) - -2. What is the tens digit of n(t)? 4 Let d be (17 + -3)/(6/15). Let w be 0/(1 + 0 + 1). Suppose -2*h + 67 + d = w. What is the tens digit of h? 5 Suppose 3*r + 17 = -25. Let g = r + 23. Suppose 0 = k - 4*k + g. What is the units digit of k? 3 Let b(i) = 9054*i**2 - 45*i + 4. What is the units digit of b(-1)? 3 Suppose -2*n - 5*q + 15235 = 0, 0 = -71*q + 74*q + 3. Suppose 20*p - n = 7400. What is the units digit of p? 1 What is the tens digit of (-4 - 52/(-14)) + (-154168)/(-49)? 4 Let d = -86994 - -125858. What is the thousands digit of d? 8 Suppose -2 = x + 2*k, 0 = -5*k - 15. Suppose 2*q = -2*u + 69 + 237, -x*u = -2*q - 582. What is the tens digit of u? 4 Let l(k) = k**3 - 4*k**2 - 9*k - 16. Let g be l(6). Suppose -d + 5 = -6*d, 0 = g*b - 4*d - 1856. What is the units digit of b? 6 Let k = 13294 - -4400. What is the hundreds digit of k? 6 Let m = -362 + 364. Suppose 3*g - 1733 = m*u + 708, -2 = -u. What is the units digit of g? 5 Suppose -q = -3*s + 31157, 2*s - 9652 = -5
{ "pile_set_name": "DM Mathematics" }
f picking 1 p, 2 x, and 1 f when four letters picked without replacement from {n: 2, a: 2, f: 1, p: 1, x: 4}? 1/35 What is prob of picking 2 o and 1 a when three letters picked without replacement from xoolxxooallollxol? 3/136 Two letters picked without replacement from {c: 7, v: 7, p: 2}. Give prob of picking 1 v and 1 c. 49/120 Calculate prob of picking 3 a when three letters picked without replacement from {a: 4, p: 3}. 4/35 Calculate prob of picking 3 t when three letters picked without replacement from {e: 5, t: 3, g: 3}. 1/165 Four letters picked without replacement from {l: 4, a: 1, u: 2}. Give prob of picking 1 a and 3 l. 4/35 Two letters picked without replacement from sszzz. Give prob of picking 2 z. 3/10 Calculate prob of picking 1 k and 1 p when two letters picked without replacement from {p: 1, k: 2, n: 1}. 1/3 Calculate prob of picking 1 m, 1 l, and 1 x when three letters picked without replacement from timiihhilxll. 3/220 Calculate prob of picking 2 e when two letters picked without replacement from {e: 2, n: 7, a: 9}. 1/153 Four letters picked without replacement from qhthdttttpht. What is prob of picking 1 h, 2 t, and 1 d? 1/11 Calculate prob of picking 2 m when two letters picked without replacement from adkmkdddo. 0 Two letters picked without replacement from {s: 5, c: 2, p: 2, d: 2, t: 2}. Give prob of picking 1 p and 1 d. 2/39 Three letters picked without replacement from zzzzkffkzzkkkzfzkk. What is prob of picking 2 k and 1 f? 21/272 Four letters picked without replacement from {g: 4, p: 2, i: 1, e: 1, o: 2}. Give prob of picking 1 e, 2 g, and 1 p. 2/35 What is prob of picking 4 j when four letters picked without replacement from {j: 11, q: 3}? 30/91 Calculate prob of picking 1 l and 1 x when two letters picked without replacement from {q: 6, u: 3, i: 2, s: 3, x: 4, l: 1}. 4/171 Three letters picked without replacement from {p: 1, h: 6, c: 1, k: 3, e: 2, l: 2}. Give prob of picking 1 e, 1 l, and 1 k. 12/455 Calculate prob of picking 1 o, 2 n, and 1 k when four letters picked without replacement from kkonnokk. 4/35 What is prob of picking 2 t when two letters picked without replacement from {u: 4, t: 4, i: 2, p: 2}? 1/11 Three letters picked without replacement from {n: 1, w: 10, b: 8}. Give prob of picking 1 b and 2 w. 120/323 Two letters picked without replacement from {p: 1, n: 1, o: 1, q: 1, h: 1, x: 2}. Give prob of picking 1 o and 1 h. 1/21 What is prob of picking 3 j and 1 n when four letters picked without replacement from {n: 9, j: 9}? 21/85 Two letters picked without replacement from hehzezzzezzeze. Give prob of picking 2 h. 1/91 Two letters picked without replacement from {w: 7, q: 5}. What is prob of picking 2 q? 5/33 Two letters picked without replacement from {o: 1, x: 2, t: 2, m: 1}. What is prob of picking 1 o and 1 t? 2/15 Two letters picked without replacement from {z: 7, j: 1}. Give prob of picking 2 z. 3/4 What is prob of picking 1 j and 2 f when three letters picked without replacement from ufjhuhujjjujufnufh? 5/272 Three letters picked without replacement from otopfpppf. What is prob of picking 1 p, 1 t, and 1 o? 2/21 What is prob of picking 1 v, 1 g, and 1 m when three letters picked without replacement from {g: 4, m: 6, v: 9}? 72/323 Three letters picked without replacement from {z: 1, a: 1, h: 2, q: 2, l: 1, r: 2}. What is prob of picking 1 z, 1 l, and 1 q? 1/42 Four letters picked without replacement from {a: 5, w: 6, b: 4}. Give prob of picking 2 w and 2 b. 6/91 Two letters picked without replacement from kzezwezkggezewggkgwg. Give prob of picking 1 e and 1 k. 6/95 What is prob of picking 1 z, 2 a, and 1 t when four letters picked without replacement from aztzat? 4/15 What is prob of picking 2 y and 1 p when three letters picked without replacement from {y: 2, g: 1, p: 1, a: 2, o: 1, n: 1}? 1/56 Three letters picked without replacement from cvcvvvvcvvtctvtcc. Give prob of picking 3 t. 1/680 Three letters picked without replacement from {m: 1, r: 1, d: 2, c: 1, u: 1, w: 2}. What is prob of picking 1 u and 2 w? 1/56 What is prob of picking 1 o and 2 y when three letters picked without replacement from oeeeyxyyzyyeoyyee? 21/340 Calculate prob of picking 1 r and 1 o when two letters picked without replacement from rooororooo. 7/15 Four letters picked without replacement from {j: 2, w: 4, b: 10}. What is prob of picking 4 w? 1/1820 Two letters picked without replacement from esqfssskkqkkkeefqf. What is prob of picking 1 e and 1 s? 4/51 What is prob of picking 1 y, 1 h, and 1 f when three letters picked without replacement from {f: 1, h: 2, y: 3, v: 1, o: 6}? 3/143 Calculate prob of picking 1 u, 1 y, and 1 s when three letters picked without replacement from sudduduyjjjjdddus. 1/85 Two letters picked without replacement from {e: 2, j: 8}. Give prob of picking 2 j. 28/45 What is prob of picking 2 o when two letters picked without replacement from qqqqvvoqvqvo? 1/66 What is prob of picking 2 m when two letters picked without replacement from eeemeeeeemee? 1/66 Three letters picked without replacement from nnnallxxlanlnnaldl. What is prob of picking 1 d and 2 n? 5/272 Calculate prob of picking 1 b and 1 w when two letters picked without replacement from {w: 10, b: 3, g: 1, k: 4, q: 1}. 10/57 Calculate prob of picking 1 i and 1 o when two letters picked without replacement from {o: 2, h: 7, i: 1}. 2/45 Two letters picked without replacement from {o: 3, f: 1, s: 1}. Give prob of picking 1 f and 1 o. 3/10 What is prob of picking 1 x and 3 q when four letters picked without replacement from xqqqqqqqqqqqxqqqqqq? 20/57 Two letters picked without replacement from {m: 1, y: 2, s: 1, q: 1}. What is prob of picking 2 y? 1/10 Calculate prob of picking 1 v and 1 k when two letters picked without replacement from xbkvvbvxk. 1/6 Calculate prob of picking 2 d when two letters picked without replacement from gvdvaavaagxagadvg. 1/136 What is prob of picking 1 n and 1 j when two letters picked without replacement from nnnnnnjnnjnnn? 11/39 Two letters picked without replacement from {z: 4}. Give prob of picking 2 z. 1 What is prob of picking 4 p when four letters picked without replacement from ppppp? 1 Calculate prob of picking 2 o, 1 b, and 1 t when four letters picked without replacement from ppteoeeepoopbb. 6/1001 Two letters picked without replacement from {z: 2, p: 1, m: 3, o: 7, l: 4}. What is prob of picking 1 z and 1 o? 7/68 Calculate prob of picking 1 k and 1 m when two letters picked without replacement from {h: 5, k: 1, f: 1, x: 3, n: 2, m: 1}. 1/78 What is prob of picking 3 d when three letters picked without replacement from dwrhdxhhwhwhdhhwh? 1/680 Two letters picked without replacement from dwwcdwwudcdwdwuddwu. What is prob of picking 1 w and 1 d? 49/171 Two letters picked without replacement from {z: 1, x: 1, p: 1, o: 1, m: 1}. What is prob of picking 1 x and 1 m? 1/10 Two letters picked without replacement from iiaa. What is prob of picking 1 i and 1 a? 2/3 Two letters picked without replacement from pionio. What is prob of picking 1 p and 1 n? 1/15 Two letters picked without replacement from {g: 2, u: 1, q: 4, b: 1}. Give prob of picking 1 u and 1 g. 1/14 Two letters picked without replacement from {g: 9}. What is prob of picking 2 g? 1 Four letters picked without replacement from tiiiitiii. What is prob of picking 2 t and 2 i? 1/6 Two letters picked without replacement from ehhhehdehhxxexexdh. What is prob of picking 2 d? 1/153 Calculate prob of picking 2 w and 2 k when four letters picked without replacement from {k: 2, o: 9, w: 2, z: 2, n: 2}. 1/2380 Calculate prob of picking 1 b and 1 v when two letters picked without replacement from ylvgvlvyvyvmvylyyyvb. 7/190 Four letters picked without replacement from dddjddjdddddddjdjdmj. Give prob of picking 4 d. 1001/4845 Three letters picked without replacement from kkkk. What is prob of picking 3 k? 1 Calculate prob of picking 2 l and 2 j when four letters picked without replacement from jllljlllll. 2/15 Four letters picked without replacement from rjzrjjjxzxrjxxzzj. Give prob of picking 1 z and 3 j. 4/119 What is prob of picking 1 e and 2 q when three letters picked without replacement from {e: 1, v: 2, c: 1, g: 2, x: 3, q: 3}? 3/220 Calculate prob of
{ "pile_set_name": "DM Mathematics" }
Let m(v) = v. Let z be (-2)/(-3)*-3 + 3. Let b(r) = -3*r**4 + 5*r. Let x(h) = z*b(h) - m(h). What is the second derivative of x(a) wrt a? -36*a**2 Let t be 15/9*(5 + -2). What is the first derivative of -1 - 5*c**2 + t*c**2 - 2*c**2 + 5*c**2 wrt c? 6*c Let w be 9*1/((-6)/4). Let t be (w + 8)*6/4. Find the second derivative of -a - 2*a**3 + 6*a**t + 0*a**3 wrt a. 24*a Let i = -8 + 11. Let f = 3 - i. What is the second derivative of -3*c**4 + f*c**3 + 0*c**3 + 5*c**4 - c wrt c? 24*c**2 Let o(y) = 27*y**3 - 17*y**2 + 7*y - 17. Let a(i) = -9*i**3 + 6*i**2 - 2*i + 6. Let m(v) = 17*a(v) + 6*o(v). Find the second derivative of m(r) wrt r. 54*r What is the third derivative of 780*c - 780*c + 6*c**2 + 17*c**3 wrt c? 102 Find the first derivative of 5*s**2 + 2*s**2 - 4*s**2 - 4 wrt s. 6*s Let o = -13 + 15. Let b(p) be the first derivative of -o + 0*p**3 + 0*p**4 - 2/5*p**5 + p**2 + 0*p. Find the second derivative of b(d) wrt d. -24*d**2 Let m(h) = -h**2 - 4*h - 3. Let a(g) = 4*g**2 + 13*g + 8. Let n(q) = 3*a(q) + 8*m(q). Find the second derivative of n(i) wrt i. 8 Let p(q) be the second derivative of q**5/10 - 7*q**3/2 - 5*q. What is the second derivative of p(u) wrt u? 12*u Let q(c) be the first derivative of 7 + 0*c**4 + 0*c + 2/5*c**5 + 0*c**2 + 2/3*c**3. What is the third derivative of q(m) wrt m? 48*m Let d(a) be the first derivative of -11*a**3/3 - 3*a**2/2 - 3. What is the second derivative of d(m) wrt m? -22 Let m(g) = -20*g**3 + 45*g**2 + 25*g. Let k(b) = 5*b**3 - 11*b**2 - 6*b. Let w(h) = 25*k(h) + 6*m(h). What is the third derivative of w(l) wrt l? 30 Let t(w) = -3*w + 11. Let l be t(2). Let h(k) be the second derivative of 0*k**4 + 3*k + 0*k**3 + k**2 + 0 + 1/10*k**l. Differentiate h(x) with respect to x. 6*x**2 Let t(f) = -21*f**3 - 7*f**2 - 21. Let w(v) = 20*v**3 + 6*v**2 + 20. Let k(o) = 3*t(o) + 4*w(o). Find the third derivative of k(a) wrt a. 102 Let u = -7 - -12. Suppose -2*s - a - 12 = -5*a, 2*s + u*a = 24. Find the third derivative of 4*v**3 - v**2 + s*v**5 - 4*v**3 wrt v. 120*v**2 Let j(n) be the second derivative of -2*n**7/7 - 7*n**3/6 + 8*n. Find the second derivative of j(f) wrt f. -240*f**3 Let i(m) = m. Let z(a) = 2*a**2 + 5*a - 6. Let l(d) = -5*i(d) + z(d). Find the first derivative of l(y) wrt y. 4*y Let q = -14 - -12. Let r(c) = -8. Let m(u) = u**3 + 1. Let w(f) = q*m(f) + r(f). Find the first derivative of w(s) wrt s. -6*s**2 Let b(c) be the third derivative of -3*c**6/40 - 15*c**3/2 - 33*c**2. Find the first derivative of b(f) wrt f. -27*f**2 Let w(l) be the third derivative of -13*l**7/210 + 3*l**5/20 - 11*l**2. Find the third derivative of w(o) wrt o. -312*o Let i(l) be the second derivative of 0*l**3 + 7/2*l**2 - 2*l + 1/4*l**4 + 0. What is the derivative of i(m) wrt m? 6*m What is the third derivative of 158*f**3 - 119*f**3 - f - 35*f**2 + f wrt f? 234 Let k(r) = 22*r**4 + 4*r**3 - 4*r**2 + 20*r + 4. Let x(u) = -u**4 - u**3 + u**2 - 1. Let i(l) = k(l) + 4*x(l). Find the second derivative of i(h) wrt h. 216*h**2 Find the third derivative of 151*h**4 - 10*h**6 - 153*h**4 - 7*h**6 + 38*h**2 wrt h. -2040*h**3 - 48*h Let z(v) be the second derivative of -v**7/7 + 7*v**3/6 - 2*v. What is the second derivative of z(p) wrt p? -120*p**3 Let o = -1 - -4. Find the second derivative of 8*q**5 + 3*q + 72*q**3 - 72*q**o wrt q. 160*q**3 Let p(k) be the first derivative of -4*k**7/7 + 4*k**3 - 14. Find the third derivative of p(o) wrt o. -480*o**3 What is the second derivative of j - 9*j**2 - 4*j**2 - 5*j wrt j? -26 Let q(s) = -13*s**5 + 3*s**4 - 3*s**2 - s + 3. Let r(h) = -h**5 + h**4 - h**2 + 1. Let c(b) = q(b) - 3*r(b). What is the second derivative of c(l) wrt l? -200*l**3 Let s(k) be the first derivative of 6*k**5/5 - k**2/2 + 8. What is the second derivative of s(i) wrt i? 72*i**2 Let t(i) = -6*i**2 - i. Let p be t(1). Let o = -4 - p. What is the third derivative of -o*n**5 + 0*n**5 + n**2 + 0*n**5 wrt n? -180*n**2 Suppose 2*d = -2*p + 16, 4*d + 2*p = -0*p + 24. Let z be (-2)/d*(1 - 9). What is the third derivative of 8*l**4 - 2*l**5 - 4*l**4 - 4*l**z - 3*l**2 wrt l? -120*l**2 Let f(v) = -v**2 - 7*v + 5. Let h(d) = -d + 1. Let i be h(8). Let n be f(i). What is the third derivative of 0*g**2 - g**n - 2*g**2 + g**2 wrt g? -60*g**2 Let d(r) = -2*r - 15. Let l be d(-9). Let q(y) be the first derivative of -2/3*y**l - 1 - y**2 + 0*y. Find the second derivative of q(x) wrt x. -4 Suppose 7 = 3*r - 8. Let c(b) = -17*b**3 - b**2 + 8*b. Let k(n) = -11*n**3 - n**2 + 5*n. Let v(i) = r*c(i) - 8*k(i). Find the third derivative of v(g) wrt g. 18 Let f(d) = d + 1. Let z(g) = 0*g + 1 - g**2 + 2*g + 0*g. Let i be 2/(-3)*(-6)/4. Let l(p) = i*z(p) - 2*f(p). Differentiate l(n) wrt n. -2*n Let b(a) = -a**2. Let d(i) = -2*i**2 + 3. Let v(c) = -3*b(c) + 3*d(c). What is the first derivative of v(l) wrt l? -6*l Let c = 14 + -12. What is the first derivative of c*u + u - 1 - u wrt u? 2 Find the third derivative of 15*d**4 - 7*d**2 - 15*d**4 + 3*d**5 wrt d. 180*d**2 Let k(n) = -n**2 - n + 1. Let r(y) = 8*y**2 + 9*y - 3. Let j(c) = -3*k(c) - r(c). Find the second derivative of j(v) wrt v. -10 Suppose 0*i = -4*i + 12. What is the second derivative of i*g + 3 - g**5 + 3*g - 3 wrt g? -20*g**3 Suppose 3*d = i + 1 - 0, d + 2*i - 12 = 0. Find the third derivative of -f**3 + 0*f**3 + f**d - 9*f**2 wrt f. -6 Let l(n) be the third derivative of 1/210*n**7 + 0*n**6 + 1/2*n**3 + 0*n**4 + 0*n + 9*n**2 + 0*n**5 + 0. What is the derivative of l(u) wrt u? 4*u**3 Let k be (-2)/(-4) - (-3)/2. Let o(z) = -3*z - 18. Let d be o(-7). Differentiate -2*s**3 + s**3 - k + d with respect to s. -3*s**2 Find the second derivative of -19*r + 2*r**5 - 8*r**5 + 0*r**5 wrt r. -120*r**3 Let q(s) be the first derivative of 58*s**3/3 + 61*s + 55. Find the first derivative of q(j) wrt j. 116*j Let d = 5 - 1. What is the first derivative of -4*f**d + 0*f**4 + 9 - 5 wrt f? -16*f**3 Let w(g) be the first derivative of -5 + 0*g**3 + 1/4*g**4 - 2*g**2 + 0*g. What is the second derivative of w(u) wrt u? 6*u Let k(v) = -2*v**4 + 5*v**3 - v**2 - 5*v - 17. Let o(u) = -u**4 + 3*u**3 - 3*u - 8. Let z(d) = -3*k(d) + 5*o(d). Find the third derivative of z(t) wrt t. 24*t Let i(q) = q**2 + q. Let y(h) = 2*h**2 - 6*h. Let m(v) = 5*i(v) + y(v). What is the second derivative of m(p) wrt p? 14 Let r be 8/60*-3*-5. What is the third derivative of 5*w**4 + 11*w**r + 5 - 5 + 2*w**4 wrt w? 168*w Let b(n) be the first derivative of 7*n**4/4 + 5*n**3/3 - 14. What is the third derivative of b(z) wrt z? 42 Let c(b) be the second derivative of -b**9/756 + b**6/360 + b**3/3 - 2*b. Let i(h) be the second derivative of c(h). What is the third derivative of i(g) wrt g? -240*g**2 Suppose 0 = -5*p + 26 - 1. What is the second derivative of 3*y**5 + y**5 + 3*y**p + y + y wrt y? 140*y**3 Let w = 2 + -3. Let o(y) = -3*y - 3. Let m(f) = 1. Let k(v) = w*o(v) - m(v). What is the first derivative of k(u) wrt u? 3 Find the first derivative of 0 - 16 - 28 - u - 3*u wrt u. -4 Let c(i) be the second derivative of 9*i**5/20 + 2*i**3 - 11*i. What is the second derivative of c(h) wrt h? 54*h Suppose -40 = -5*q - 5*f, -3*q = -0*f - 3*f - 6. Differentiate 0 - 5 + 3*b - 3 + q with respect to b. 3 Let x(n) be the second derivative of -n**4/6 - 11*n**2 + 7*n + 1. Differentiate x(l) with respect to l. -4*l Find the second derivative of -w**2 - 40*w - 3*w**2 + 34*w**4 + 4*w**2 wrt w. 408*w**2 Let h(o) be the second derivative of 3*o**8/56 + o**4/12 + 8*o. Find the third derivative of h(c) wrt c. 360*c**3 Let q be (-5 - 7)*(-6)/(-8). Let o = 14 + q. Find the third derivative of -6*d**4 + 0*d**4 + o*d**4 - 3*d**2 wrt d. -24*d Let v(x) be the first derivative of -3*x**5/5 - 4*x**2 - 25. What is the second derivative of v(z) wrt z? -36*z**2 What is the third derivative of -7*o**2 + 7*o**2 - o**3 + 13*o**2 wrt o? -6 Let a(i) be the first derivative of i**6/120 + i**4/12 + i**2/2 - 3. Let r(m) be the second derivative of a(m). Find the second derivative of r(u) wrt u. 6*u Let z(i) = 2 - 2 - 7*i - 1. Let s(m) = -20 + 5 + 13*m + 6 + 11. Let q(o) = 4*s(o) + 7*z(o). Find the first derivative of q(j) wrt j. 3 What is the first derivative of -84 + 40 + s**4 - 14*s**4 wrt s? -52*s**3 Let q(g) be the third derivative of 1/60*g**6 + 0 + 1/8*g**4 + 0*g -
{ "pile_set_name": "DM Mathematics" }
**2 + o = 0 for u. 6 Suppose 0 = -48*a + 41*a - 27629. Let r = 43449/11 + a. Find b, given that 16/11*b**2 - 2/11*b - r*b**3 + 0 = 0. 0, 1/4 Let p be (7/(-168))/((-7)/1575). Let -p*s**2 + 39/8*s**3 + 3/8 + 33/8*s = 0. Calculate s. -1/13, 1 Let o = 51 - 56. Let h be 47 - 15 - (o - -1). Factor 10*l**3 + 5 - 15*l**2 + 2*l**4 + h*l**2 - 1 + 14*l - 3*l**2. 2*(l + 1)**3*(l + 2) Suppose 78*l - 8565 + 2*l**4 + 3*l**4 + 5185 + 130*l**3 + 825*l**2 - 598*l = 0. Calculate l. -13, -2, 2 Suppose 0 = 5*g - g. Suppose g = -2*i + 4*i - 4, 0 = y + i - 4. Factor 4*l**5 + l**3 + 4*l**y - 18*l**4 + 14*l**4 - 3*l**3 - 2*l**5. 2*l**2*(l - 2)*(l - 1)*(l + 1) Let g(h) = -2*h**3 + 13*h**2 + 239*h + 550. Let l be g(-3). Factor 32079/2*q + 5355/4*q**2 + 14739 + 3/8*q**l + 309/8*q**3. 3*(q + 1)*(q + 34)**3/8 Let h = -1606 - -1648. Suppose -152*v + 166*v = h. Factor -3/8*a**2 + v*a - 9/2. -3*(a - 6)*(a - 2)/8 Let c(s) be the third derivative of 153*s**2 - 11/4*s**5 + 0 - 1/24*s**6 + 1445/6*s**3 - 425/8*s**4 + 0*s. Factor c(w). -5*(w - 1)*(w + 17)**2 Let w(a) be the second derivative of -23/3*a**3 + 293*a + 22*a**2 + 1/6*a**4 + 0. Factor w(n). 2*(n - 22)*(n - 1) Factor 0 + 1196/5*h**2 + 2/5*h**3 + 178802/5*h. 2*h*(h + 299)**2/5 Suppose -3*b - 33 = -3*p - 8*b, -3*p + 3 = -5*b. Solve p*o**2 + 51*o**3 - 3*o**4 + 0 - 57*o**3 + 3*o**5 + 3*o - 3 = 0. -1, 1 Factor -2/5*m**4 + 192/5*m - 104/5*m**2 + 24/5*m**3 - 128/5. -2*(m - 4)**2*(m - 2)**2/5 Factor 14*z**3 - 42*z**2 - 8*z**3 - 49 - z**3 - 155*z + 2*z**2 - 61. 5*(z - 11)*(z + 1)*(z + 2) Let o be (-2730)/1820*(-2 + -1). Factor 5/2*u**3 - o + 27/2*u - 23/2*u**2. (u - 3)*(u - 1)*(5*u - 3)/2 Let p be (-22)/(-6) + (-8)/12. Suppose -9 = -p*r - 0. Solve -5*a - 19*a**2 - 5*a**5 + 9*a**2 + 10*a**2 + 10*a**r = 0. -1, 0, 1 Determine w, given that -7*w**2 + 45/4*w - 9/2 - 3/4*w**3 + w**4 = 0. -3, 3/4, 1, 2 Let k = -58 + 78. Let k*q - 6*q**3 - 6*q**2 + 0*q**3 + 4*q**3 = 0. What is q? -5, 0, 2 Let h(l) be the second derivative of -4 - 1/20*l**5 + 0*l**2 - 1/20*l**4 - 4*l + 3/10*l**3 - 1/150*l**6. Factor h(x). -x*(x - 1)*(x + 3)**2/5 Let t = 3557/30514 + 489/1606. Find k, given that t + 98/19*k**2 + 56/19*k = 0. -2/7 Let c(m) be the third derivative of m**6/360 - 41*m**5/180 + 8*m**2 + 41. Factor c(o). o**2*(o - 41)/3 Let h = 99 - 125. Let y be 1 - (-3)/(-2)*h. Find a such that 2*a**3 - a**3 - 6 - 36*a**2 + a + y*a**2 = 0. -3, -2, 1 Let r(x) be the third derivative of -x**8/1680 + x**7/70 - x**6/12 + 7*x**5/30 - 3*x**4/8 + 11*x**3/30 - x**2 + 26*x - 15. Factor r(t). -(t - 11)*(t - 1)**4/5 Suppose -2*f + 2 = 0, 2*k - 1479 = 3*f - 402. Let a = -540 + k. What is y in 2/3*y**2 + a + 1/3*y**3 - 1/3*y**4 + 0*y = 0? -1, 0, 2 Suppose -30*y + 27 = -21*y. Factor 48*r**2 - 77*r**3 + 8*r - 78*r**y + 129*r**3. -2*r*(r - 2)*(13*r + 2) Factor -4*t**2 + 2760 - 212*t + 2*t**2 + 23*t**2 - 3*t**2 - 14*t**2. 4*(t - 30)*(t - 23) Let i be 820100/1002885 - (-4)/74. Let a(x) be the first derivative of -14/13*x + 3/26*x**4 - 27/13*x**2 - i*x**3 - 4. What is q in a(q) = 0? -1, -1/3, 7 Let p(d) = 4*d + 44. Let f be p(-6). Suppose -m - f = -5*m. Factor -5*n**m - 7*n**3 + 15*n**4 + n**3 - 7*n**3 + 3*n**3. -5*n**3*(n - 2)*(n - 1) Let c(d) = -d**3 - d**2 + 2*d. Suppose 33*y - 116 = 148. Let v(z) = -2*z**3 - 4*z**2 + 6*z. Let l(n) = y*c(n) - 3*v(n). Let l(r) = 0. What is r? 0, 1 Factor 0 - 732/5*v**2 + 133956/5*v + 1/5*v**3. v*(v - 366)**2/5 Let b(r) be the third derivative of -r**5/60 + 1205*r**4/12 - r**2 - 4129*r. Suppose b(z) = 0. Calculate z. 0, 2410 Factor -117/5*w + 13689/10 + 1/10*w**2. (w - 117)**2/10 Suppose 0 = 2*b + 3*p - 15, -b - 4*p - 9 = -8*p. Factor 5*i + 38*i**2 + 19*i - 15*i**2 - b*i**2 - 144 + 2*i**3. 2*(i - 2)*(i + 6)**2 Let v = 102752/77182023 + -2/49827. Let o = v + 18578/7745. Let -39/5*h**3 - 9*h**2 - o*h**4 - 21/5*h - 3/5 = 0. Calculate h. -1, -1/4 Suppose -5*b + 13*w = 11*w - 54, 5*b - 3*w = 51. Determine x so that 20*x - 4*x**3 - 60*x**4 - 69*x**4 + b*x**2 + 8 + 125*x**4 = 0. -1, 2 Let s(o) be the first derivative of 2*o**3/63 - 59*o**2/7 + 100*o/3 + 1693. Let s(z) = 0. What is z? 2, 175 Suppose -88*q**2 + 5*q - 140*q**3 - 347 - 344 + 13*q**2 + 960*q**4 + 691 = 0. What is q? -1/4, 0, 1/16, 1/3 Let q(d) be the third derivative of -3 + 11*d**2 - 1/240*d**5 - 1/16*d**4 + 0*d + 2/3*d**3. Factor q(m). -(m - 2)*(m + 8)/4 Let u(v) be the second derivative of 1/42*v**7 - 31/6*v**3 - 11/3*v**4 - 2/15*v**6 - 4*v**2 - 13/10*v**5 + 89*v + 0. Determine o so that u(o) = 0. -1, 8 Let f(v) = -2*v**2 + 22*v - 11. Let a(s) = s**2 - 6*s + 3. Let x = -500 - -502. Let p(g) = x*f(g) + 9*a(g). Factor p(n). 5*(n - 1)**2 Let p(d) be the third derivative of d**5/75 - 9*d**4/10 + 52*d**3/15 - 6*d**2 + 130. Factor p(n). 4*(n - 26)*(n - 1)/5 Suppose 0*m - 1 = m, m + 9 = -2*z. Let a be (45/(-10) - z)*-10. Determine b, given that 3 + 6*b**2 + 10 - 12*b**4 - 2*b**2 - a + 28*b**3 - 28*b = 0. -1, 1/3, 1, 2 Let r(i) be the first derivative of 1 + 0*i + 16/3*i**4 + 0*i**2 + 1/9*i**6 - 4/3*i**5 - 64/9*i**3. Factor r(q). 2*q**2*(q - 4)**2*(q - 2)/3 Let r(f) be the first derivative of -5*f**3/3 + 3095*f**2 - 1915805*f - 2644. Find s, given that r(s) = 0. 619 Suppose -21 + 17 = -2*l. Let k(m) be the first derivative of 21*m**l - m**4 - 4*m**3 + 0*m**4 + 16*m - 21*m**2 - 15. Let k(j) = 0. Calculate j. -2, 1 Let m = 1496/287 - -1460/2583. Factor -162 + 2/9*f**4 + m*f**3 + 48*f**2 + 108*f. 2*(f - 1)*(f + 9)**3/9 Let -10277982 + 3212*t**3 + 39204*t**2 + 238/3*t**4 - 455202*t + 2/3*t**5 = 0. Calculate t. -33, 13 Let w = -768 - -771. Suppose 1 = -i + 4. Factor w*q**i - 133 + 133. 3*q**3 Let j(y) = 11*y**3 - 301*y**2 + 585*y - 307. Let g(f) = -9*f**3 + 300*f**2 - 585*f + 303. Let t(m) = -4*g(m) - 3*j(m). Factor t(a). 3*(a - 97)*(a - 1)**2 What is y in -424 - 1164*y**2 + 2308*y**2 - 1912*y - 1162*y**2 = 0? -106, -2/9 Let l = 293 - 125. Let j be (l/(-49) - -3)*(-8)/6. Find n such that 1/7*n + 4/7*n**2 - 1/7*n**3 - j = 0. -1, 1, 4 Suppose 14174*k**4 + 14193*k**4 + 104*k - 28365*k**4 - 86*k**2 - 20*k**3 = 0. Calculate k. -4, 0, 1, 13 Let b be ((1 - -1) + 0)/(3805/24352). Solve -16/5 + 56/5*q**3 - 12/5*q**4 - 92/5*q**2 + b*q = 0. 2/3, 1, 2 Let k(z) be the second derivative of 1/12*z**4 - 1/6*z**5 + 17/2*z**2 + 0*z**3 + 0 - 4*z. Let l(r) be the first derivative of k(r). Find h such that l(h) = 0. 0, 1/5 Let h(j) be the third derivative of -5*j**8/336 + 11*j**7/42 - 35*j**6/24 + 25*j**5/12 + 15*j**4/2 - 30*j**3 - 1183*j**2. Suppose h(k) = 0. Calculate k. -1, 1, 2, 3, 6 Factor 64/3 + 382/9*m + 188/9*m**2 - 2/9*m**3. -2*(m - 96)*(m + 1)**2/9 Let b(q) be the second derivative of 13/42*q**4 + 1 - 8/7*q**3 + q - 4/7*q**2. Suppose b(n) = 0. Calculate n. -2/13, 2 Suppose -g + 18*v + 991 = 13*v, g - 2*v - 994 = 0. Let y = g + -996. Factor 0*h + y + 1/2*h**3 + h**2 - 1/2*h**4. -h**2*(h - 2)*(h + 1)/2 Let r(w) be the third derivative of -1/336*w**8 - 2*w**2 + 13/210*w**7 + 49/6*w**3 - 31/30*w**5 - 17/60*w**6 + 0*w - 39 + 35/24*w**4. Let r(t) = 0. Calculate t. -1, 1, 7 Let p = -3/116522 + -583658671/1048698. Let z = 557 + p. Factor 2/9*k**3 + 0 + 2/9*k - z*k**2. 2*k*(k - 1)**2/9 Let l(q) be the second derivative of -187*q + 21/100*q**5 + 0 - 9/10*q**4 - 6/5*q**2 + 3/2*q**3. Factor l(p). 3*(p - 1)**2*(7*p - 4)/5 Let a be -4 + 576/82 + -3. Let d = a + 79/123. Find c, given that 0 + 1/3*c - 7/3*c**3 + 4/3*c**4 + d*c**2 = 0. -1/4, 0, 1 Factor 4/9*p**4 - 20/9 + 8/3*p - 8/3*p**3 + 16/9*p**2. 4*(p - 5)*(p - 1)**2*(p + 1)/9 Let d = 996/7475 + 2/22425. Solve -56/5 - 10/3*o**2 + d*o**3 + 176/15*o = 0 for o. 2, 21 Let x(c) be the first derivative of c**9/3024 - c**8/420 + c**7/280 + 22*c**3 - c - 145. Let m(l) be the third derivative of x(l). Determine b so that m(b) = 0. 0, 1, 3 Let x(o) be the first derivative of -o**3 + 111*o**2 - 219*o + 4034. Suppose x(p) = 0. What is p? 1, 73 Let g(s) be the third derivative of s**6/40 + 6477*s**5/20 + 13983843*s**4/8 + 10063705679*s**3/2 - 1877*s**2 + 3. Determine w so that g(w) = 0. -2159 Let r(u) be the second derivative of -u**8/15680 - u**7/735 - u**6/105 - 3*u**4/2 - 57*u. Let o(g) be the third derivative of r(g). Factor o(l). -3*l*(l + 4)**2/7 Suppose 76*c - 723 + 205 = -214. Let d = -4321/88 + 411/8. Determine f so that -8/11*f**c + 1/11*f**5 - 38/11*f**2 + d*f**3 + 28/11
{ "pile_set_name": "DM Mathematics" }
Let d(n) be the third derivative of 0*n**3 - 1/240*n**5 + 1/240*n**6 - 2*n**2 - 1/840*n**f + 0*n**4 + 0 + 0*n. Factor d(r). -r**2*(r - 1)**2/4 Let i(r) be the second derivative of -2/15*r**6 - 2*r + 0*r**5 + 0 + r**4 + 0*r**2 - 4/3*r**3. Factor i(z). -4*z*(z - 1)**2*(z + 2) Let u(p) be the second derivative of p**8/320 - p**7/70 + p**6/80 + p**5/20 + p**4/12 - 2*p. Let a(j) be the third derivative of u(j). What is g in a(g) = 0? -2/7, 1 Let z = 165 - 165. Factor 2/3*a + z - 1/3*a**2. -a*(a - 2)/3 Let f(y) be the third derivative of -y**5/240 + y**4/32 - y**3/12 - 50*y**2. Suppose f(g) = 0. What is g? 1, 2 Factor -16/5*a + 2/15*a**2 + 96/5. 2*(a - 12)**2/15 Let m(x) be the first derivative of x**6/900 - x**5/300 - 2*x**3/3 - 1. Let g(i) be the third derivative of m(i). Factor g(o). 2*o*(o - 1)/5 Factor 8/11 + 50/11*i**4 + 24/11*i - 60/11*i**3 - 2*i**2. 2*(i - 1)**2*(5*i + 2)**2/11 Let d be 3/20 + 4/16. Solve 2/5*u**3 - 2/5*u + 2/5 - d*u**2 = 0. -1, 1 Let h(d) = d**3 - d**2 - d + 1. Let f(o) = o**4 - 3*o**3 + o - 3. Let n(t) = -2*f(t) - 6*h(t). Factor n(j). -2*j*(j - 2)*(j + 1)**2 Factor 2/7*p**3 + 220/7*p + 100/7 + 41/7*p**2. (p + 10)**2*(2*p + 1)/7 Let i(q) be the third derivative of 0*q + 5/36*q**4 - 1/3*q**3 - 1/180*q**6 + 0 + 4*q**2 - 1/90*q**5. Factor i(u). -2*(u - 1)**2*(u + 3)/3 Let u(q) = 2*q**2 - 14*q + 3. Let g be u(7). Factor 2/5*j**4 - 2/5*j**2 + 4/5*j + 0 - 4/5*j**g. 2*j*(j - 2)*(j - 1)*(j + 1)/5 Let t(m) be the second derivative of m**7/294 + m**6/70 - m**5/70 - m**4/7 - 4*m**3/21 - 3*m. Determine h so that t(h) = 0. -2, -1, 0, 2 Let b(s) be the second derivative of s**7/126 - s**6/90 - s**5/30 + s**4/18 + s**3/18 - s**2/6 + s. Let b(i) = 0. What is i? -1, 1 Suppose 10 = v - 4*f, 4*v - 12 = -0*v + 2*f. Suppose 2*p = v + 2. What is d in p*d**3 + 3*d**4 - 2*d**2 + 4*d**3 + 5*d**2 = 0? -1, 0 Let g(p) be the first derivative of -p**5/90 + p**4/18 - p**3/9 - 2*p**2 - 1. Let v(s) be the second derivative of g(s). Let v(j) = 0. What is j? 1 Factor 2/11*i**2 + 2/11*i - 4/11. 2*(i - 1)*(i + 2)/11 Let r(f) be the third derivative of -f**7/210 + f**5/20 + f**4/12 - 22*f**2. Factor r(s). -s*(s - 2)*(s + 1)**2 Let z be (-16)/(-9) - 6/(-27). Find x such that 0 - 4 + 0*x + z*x + 4*x**2 - 2*x**3 = 0. -1, 1, 2 Let l(r) be the first derivative of 7*r**5/10 - r**4/4 - 34. Let l(q) = 0. What is q? 0, 2/7 Factor 1/2*z**2 - 1/2 - 7/4*z + 7/4*z**3. (z - 1)*(z + 1)*(7*z + 2)/4 Let v be (-84)/(-588)*(1 + 3). Suppose 4*h - 3 = 3*w, -h - h + 5*w - 9 = 0. Factor 4/7*t**h + 2/7*t**5 - 6/7*t + v*t**2 - 6/7*t**4 + 2/7. 2*(t - 1)**4*(t + 1)/7 Let c = -322/5 + 3293/45. Let d = c - 25/3. Factor -4/9*y**3 + 2/3*y + 2/3*y**4 - 2/9*y**5 - 2/9 - d*y**2. -2*(y - 1)**4*(y + 1)/9 Let q(y) = y**2 - 8*y - 7. Let w(i) = -i**2 - 8*i + 2. Let z be w(-7). Let k be q(z). Find u such that 0*u + u**2 - k*u + 3*u**2 - 4 + 2*u**3 = 0. -2, -1, 1 Let a be (15/10 + -2)*(-2 - -1). Factor 0*h - a*h**3 - 1/2*h**4 + 0 + 0*h**2. -h**3*(h + 1)/2 Solve 3*p + 18/5 - 3/5*p**2 = 0 for p. -1, 6 Let g(o) = -o**4 + 5*o**3 + 6*o**2 - 4*o - 1. Let u(a) = -a**4 + 4*a**3 + 5*a**2 - 4*a - 2. Let l(t) = 2*g(t) - 3*u(t). Determine v so that l(v) = 0. -1, 2 Suppose 5*t + 11 = -5*i + 46, -5*i - 2*t + 20 = 0. Factor 0*a**3 - 2/9*a**4 + 0 + 2/9*a**i + 0*a. -2*a**2*(a - 1)*(a + 1)/9 Let o(s) be the first derivative of s**3/3 - s**2/2 - 4. Let v(q) = 3*q**2 + 4*q + 9. Let z(m) = 2*o(m) - v(m). Solve z(w) = 0. -3 Let i(d) be the second derivative of d**4/3 - d**3 - 2*d**2 - 5*d. What is t in i(t) = 0? -1/2, 2 Let o be 9/(-3) - 1/((-2)/7). Suppose o*t**2 + 1/2 + t = 0. What is t? -1 Suppose -2*g = -j + 14, -j + 1 = -4*g - 23. Let -9/2*k**j + 7*k**2 + 15/2*k**3 - 4 - 6*k = 0. What is k? -2/3, 1, 2 Let p be (-4944)/(-3605) + ((-8)/(-5))/(-2). Factor -6/7*h**2 + 2/7*h + p. -2*(h - 1)*(3*h + 2)/7 Let t(v) be the first derivative of 3 + 2/5*v**5 + 0*v**2 - 1/4*v**4 + 0*v - 1/6*v**6 + 0*v**3. Factor t(q). -q**3*(q - 1)**2 Let g(s) be the third derivative of -s**6/1260 + 2*s**5/315 - s**4/63 + 19*s**2. What is q in g(q) = 0? 0, 2 Let x(d) be the third derivative of d**5/105 + 5*d**4/42 - 18*d**2. Solve x(a) = 0 for a. -5, 0 Let q = 12/25 - 23/100. Let t(u) be the second derivative of 0 + 0*u**3 + 0*u**2 - 4*u - q*u**4. Factor t(y). -3*y**2 Let n(f) be the first derivative of 0*f**4 + 2/7*f**3 - 6/35*f**5 - 7 - 3/14*f**2 + 1/14*f**6 + 0*f. Factor n(p). 3*p*(p - 1)**3*(p + 1)/7 Let u(k) be the second derivative of 2*k + 0 - 1/15*k**4 + 2/75*k**6 + 0*k**5 + 1/15*k**3 + 0*k**2 - 1/105*k**7. Factor u(l). -2*l*(l - 1)**3*(l + 1)/5 Let j = 100/297 + -1/297. What is w in 0*w**2 + 0*w**4 - j*w**5 + 2/3*w**3 - 1/3*w + 0 = 0? -1, 0, 1 Factor -2/3*d**2 + 0 + 4/3*d. -2*d*(d - 2)/3 Suppose 2*d + 5*i = d + 38, -5*d = 3*i - 102. Let b be ((-4)/(-6))/(4/d). Factor 2*u + b*u**3 - 7*u**3 + 2*u**3. -2*u*(u - 1)*(u + 1) Let m(z) = -z**2 + 9*z - 5. Let b be m(8). Suppose c**2 - 3 + 5 - 2 - c**b = 0. What is c? 0, 1 Let s(v) be the second derivative of -11/15*v**6 + 5/42*v**7 + 19/10*v**5 - 8/3*v**4 + 13/6*v**3 - v**2 + 0 + 2*v. What is p in s(p) = 0? 2/5, 1 Solve 0 - 9/5*z + 12/5*z**2 - 3/5*z**3 = 0. 0, 1, 3 Let a(j) be the first derivative of j**4 + 4*j**3 + 6. Factor a(f). 4*f**2*(f + 3) Find f such that 5*f**5 - 36 + 36 - f**2 - 4*f**2 - 15*f**4 + 15*f**3 = 0. 0, 1 Let h(o) be the second derivative of o**7/84 - o**6/60 - o**5/40 + o**4/24 - 51*o. Suppose h(n) = 0. What is n? -1, 0, 1 Suppose p = -0*p + 17*p. Solve -8/5*q + p - 4*q**2 + 4*q**4 - 4/5*q**3 + 12/5*q**5 = 0 for q. -1, -2/3, 0, 1 Let y(m) be the second derivative of 1/3*m**2 + 7*m - 2/9*m**3 + 0 + 1/18*m**4. Factor y(d). 2*(d - 1)**2/3 Let b(r) be the second derivative of r**7/252 - r**6/45 + r**5/40 + r**4/18 - r**3/9 + r. Factor b(s). s*(s - 2)**2*(s - 1)*(s + 1)/6 Let j(g) be the second derivative of g**4/4 + g**3/2 + 5*g. Factor j(y). 3*y*(y + 1) Let r(d) = 8*d**3 + 60*d**2 + 240*d + 320. Let o(q) = q**3. Let w(k) = -3*o(k) + r(k). Factor w(s). 5*(s + 4)**3 Let n(b) be the second derivative of -b**6/1260 + b**5/210 - 5*b**3/6 - 5*b. Let o(y) be the second derivative of n(y). Factor o(v). -2*v*(v - 2)/7 Solve -2/3*g**2 + 4/9*g + 2/9*g**3 + 0 = 0. 0, 1, 2 Let l(o) be the third derivative of o**7/5040 - o**6/360 + o**5/60 - o**4/24 - 2*o**2. Let h(p) be the second derivative of l(p). Find w, given that h(w) = 0. 2 Let y = -8 - -13. Suppose y*w + 3*t = 3, 0 = 4*w - t + 5*t + 4. Factor 0 - 2/3*b**4 + 0*b**w + 0*b + 0*b**2. -2*b**4/3 Let r(z) be the first derivative of z**4/4 - 2*z**3/3 - z**2/2 + 2*z - 8. Solve r(q) = 0 for q. -1, 1, 2 Let a(b) be the first derivative of -b**4 + 8*b**3/3 + 11. Solve a(o) = 0. 0, 2 Suppose -g = 4, -g + 11 = -q + 4*q. Find t, given that 2*t**2 + t**5 + 3*t**3 - t**3 - 2*t**4 - 3*t**q = 0. -1, 0, 1 Let l = 4 - 2. Factor 12*p**4 + 2*p + 24*p**l - 33*p**2 + 3*p**4 + 4*p**3. p*(p + 1)*(3*p - 1)*(5*p - 2) Let i(t) be the third derivative of t**8/2856 + t**7/357 + 7*t**6/1020 + t**5/170 + 11*t**2. Determine a so that i(a) = 0. -3, -1, 0 Let y(t) be the first derivative of 3*t**5/5 + 3*t**4/4 - 32. What is f in y(f) = 0? -1, 0 Suppose 0 + 1/5*b + 3/5*b**2 + 3/5*b**3 + 1/5*b**4 = 0. Calculate b. -1, 0 Let f(s) be the second derivative of -s**6/195 + s**5/65 - s**4/78 + 4*s. Factor f(m). -2*m**2*(m - 1)**2/13 Let t = 413/9 - 392/9. What is d in -5/3*d**3 - d + 0 + t*d**2 + 1/3*d**4 = 0? 0, 1, 3 Let k(x) = -x**3 + 9*x + 12. Let b be k(-2). Find z such that 3/7*z**3 - 24/7*z**b + 24/7*z**4 + 9/7*z**5 - 12/7*z + 0 = 0. -2, -1, -2/3, 0, 1 Let r(k) = 4*k**3 - 32*k**2 + 83*k - 64. Let a(t) = -20*t**3 + 160*t**2 - 414*t + 320. Let o(j) = 3*a(j) + 14*r(j). Determine d, given that o(d) = 0. 2, 4 Let g(x) be the second derivative of -x**6/15 - x**5/2 - x**4/2 + 3*x**3 - 4*x. Solve g(t) = 0 for t. -3, 0, 1 Let o(f) = -f**2 - 4*f + 7. Let z be o(-5). Factor 0*l**3 + 0 - 3*l**2 - 2 + 5*l - l**z + l**3. (l - 2)*(l - 1)**2 Suppose -z = -4*i + 14, 0 = 4*z - 3*i - 5 - 4. Let t be (1 - 4/z)*18. Let t + 3*x - 6*x**2 + 0*x**3 + 0*x - 3*x**3 = 0. What is x? -2, -1, 1 Let x(o) = -o + 8. Let h be x(5). Let r(i) be the third derivative of 0*i + 1/60*i**5 - 1/24*i**4 + 1/120*i**6 - 1/6*i**h + 2*i**2 + 0. Factor r(l). (l - 1)*(l + 1)**2 Let h(j) = -3*j**2 - 6*j - 9. Let i(x)
{ "pile_set_name": "DM Mathematics" }
2 in 2/9, 7, -27? 2/9 What is the closest to 2/7 in 4, -33, -0.2, 0.6, 6/5? 0.6 Which is the nearest to -4/7? (a) -5/8 (b) 4 (c) 0 (d) -0.4 a What is the closest to 1178 in -1, -0.23, -2? -0.23 Which is the nearest to -52? (a) -2 (b) -0.4 (c) -2/7 (d) -0.42 a Which is the closest to 0.06? (a) 181/8 (b) 2/3 (c) -2/19 (d) -3 c Which is the nearest to 1? (a) 34 (b) -2 (c) 2 (d) -4/3 c Which is the closest to -1? (a) -0.03 (b) -3/4 (c) 4 (d) 151.86 b Which is the closest to -3/7? (a) -5 (b) -26 (c) -89 (d) 5 a Which is the nearest to 1/41? (a) 5 (b) -3/8 (c) 21 (d) 3 (e) -0.5 b What is the nearest to -14 in 2/3, 4, -838, 2/19, 1? 2/19 Which is the closest to 137? (a) 2/3 (b) 5 (c) 25 c What is the nearest to 1 in -6/47, -5, -0.59? -6/47 What is the closest to 1/2 in 19, 0.5, -40/187? 0.5 What is the nearest to -1/5 in -1/3, 20, 36/11, -0.5, 4? -1/3 Which is the closest to -2? (a) 0.2 (b) 4/7 (c) -0.4 (d) -0.3 (e) 55 c What is the closest to -6 in -2, 7, -10/11, 3/5? -2 What is the nearest to 3 in -0.2, -2/11, -0.7, -363? -2/11 Which is the nearest to -1? (a) 8549 (b) -1 (c) -3/14 b Which is the closest to -16? (a) -5 (b) -4 (c) -2 (d) 2753 (e) 1/3 a What is the nearest to -2/3 in 15, -2/3, 51, 0, 4/5? -2/3 Which is the closest to 50? (a) -5 (b) -0.36 (c) 5 (d) -0.5 c Which is the closest to 0.03? (a) 0.4 (b) -0.2 (c) -0.436914 b Which is the nearest to 1? (a) -1/5 (b) 45 (c) -29 (d) 3/7 d Which is the closest to -1? (a) 9711 (b) 4 (c) -21 b Which is the closest to 0.7? (a) 35 (b) -0.4 (c) 1 c Which is the closest to -1? (a) 10 (b) 0.09 (c) -4 (d) -29 (e) -25 b Which is the nearest to -0.4? (a) 2/3 (b) 0.3 (c) -5 (d) 30.46 (e) -3 b What is the nearest to -2 in -5.6, 1/11, -17, -1/4? -1/4 Which is the nearest to -1? (a) -2 (b) 0.2 (c) -1 (d) 0.1732 (e) -5 c Which is the closest to 20/151? (a) -2/11 (b) 4 (c) -3/7 (d) -1/6 d What is the closest to -2/3 in 8/3, -419, 0, 1? 0 What is the nearest to -52/5 in 3, -3/8, 9? -3/8 Which is the nearest to 1? (a) -2 (b) 7 (c) 0.3 (d) 0.294 c Which is the nearest to -1/2? (a) 22 (b) 0.4 (c) 2/181 (d) 2 c Which is the nearest to -17? (a) -1 (b) 2 (c) 1/4 (d) -0.0952 (e) 3/4 a What is the closest to -0.5 in -3, -0.5, 3, 0.3, 3/8? -0.5 What is the nearest to 4/15 in -2, 5, 1/4, -1/6, 3/52? 1/4 Which is the nearest to -0.1? (a) -6/7 (b) -3224 (c) 4 (d) -2 a Which is the nearest to 1? (a) -3 (b) 3 (c) 0 (d) -3431 c Which is the nearest to -30/19? (a) 2 (b) -2 (c) -0.5 b Which is the closest to -0.1? (a) 5 (b) -2.9 (c) 2/19 (d) 16 c What is the nearest to 14/9 in 0.18, -2, -10? 0.18 What is the nearest to -14 in -1/5, -2/5, -3/15031? -2/5 What is the nearest to 0 in 0.03, -1/21, 3? 0.03 Which is the nearest to -3? (a) -11/8 (b) -0.12 (c) -0.1 (d) -2/7 a Which is the closest to 0.81? (a) -1/8 (b) -3/5 (c) 2/3 (d) -2/17 c Which is the closest to -0.1? (a) -38.3 (b) 2 (c) -1 (d) -2.9 (e) -0.4 e Which is the closest to -2/5? (a) 5/3 (b) -1/2 (c) -5/7 (d) 108 b What is the closest to -0.9 in 0.2, -0.14, 0.7, -4, -1/4? -1/4 Which is the closest to 4? (a) 18 (b) 50/3 (c) 0.5 (d) -1/3 c What is the nearest to -3 in -373, -1, -2/13, -16? -1 What is the closest to 0.2 in -2/15, -2/9, 0.3, -3? 0.3 Which is the nearest to 1/2? (a) 2/987 (b) 1/5 (c) -2/21 b Which is the closest to -2/3? (a) -3 (b) 71 (c) 3 (d) 2385 (e) 2/7 e Which is the nearest to -1? (a) -1/14 (b) 51 (c) 11/2 (d) -3 a What is the nearest to -1 in 2, 0.05563, 3/5? 0.05563 What is the nearest to -1/4 in 0.6, 0, 41, 21, -2? 0 What is the nearest to 0.3 in -4, -25/3, 2? 2 Which is the closest to 1.74? (a) 5 (b) 0.5 (c) -0.1 (d) -3/2 b Which is the nearest to -2/101? (a) -1/3 (b) -2 (c) -0.6 (d) -0.3 d Which is the nearest to 1? (a) 5 (b) 166 (c) -0.1 (d) -5 (e) -66 c Which is the nearest to 0.005? (a) 1.4 (b) -2 (c) 3 a What is the nearest to -1 in 3/8, -1, -12, 2, -0.1? -1 Which is the closest to 5? (a) -3/8 (b) -2/3 (c) -21 a What is the closest to 6/5 in -3246, 1, 2? 1 What is the nearest to 0.06 in -0.2, 0.2, 1, 0.28? 0.2 Which is the nearest to -5/26? (a) 0.1 (b) -2 (c) -2/5 c What is the closest to -3 in 1/6, 3, 1/1448, 0? 0 What is the closest to 0 in 2/3, 0.37, 0.5, 0.18? 0.18 Which is the nearest to -80/17? (a) 1/3 (b) 0 (c) -1 (d) -0.4 (e) -0.2 c What is the closest to -594 in -4/5, 2/57, -3? -3 What is the nearest to -44 in 0, 3/4, -5, 11, 0.4? -5 Which is the closest to -13.8? (a) 0.4 (b) 14 (c) -1 c Which is the closest to 0.554? (a) -4 (b) 0.107 (c) 3 b What is the closest to 3/16 in -1.79, -3, -0.1? -0.1 Which is the nearest to -7? (a) -6/11 (b) 0 (c) -1 (d) 9 c What is the nearest to -0.1 in 1/4, -20462, -3/8? -3/8 Which is the closest to -2/3? (a) 0.4 (b) -1/2 (c) 2.102 (d) 4/3 b What is the nearest to -8/5 in 5, 0, -2/9, -24, -4? -2/9 Which is the closest to 2? (a) -118/13 (b) 4 (c) 3/7 (d) 1/4 c Which is the closest to -2.62? (a) -0.11 (b) -3 (c) 4/3 b What is the nearest to -1.3 in 0.02, 5, 8, -0.07? -0.07 What is the closest to -0.6 in -10, 17, 0, -6? 0 Which is the nearest to 2? (a) 2 (b) -3 (c) 6719 (d) 3/2 a Which is the nearest to 52? (a) 0.14 (b) -4/3 (c) -4 a What is the closest to -3 in 1, 0.058, -0.7, 0.4? -0.7 What is the nearest to 0 in -14, 0.1, -5/2? 0.1 Which is the nearest to -1? (a) 96 (b) 0.3 (c) -5 (d) 2/57 (e) 2/5 d What is the nearest to -1 in 65, 2/11, 7? 2/11 Which is the closest to -0.01? (a) -2/15 (b) 0.9 (c) -17 a Which is the closest to 0.04? (a) 4 (b) 0.191 (c) 5/4 b What is the nearest to 0 in -24.7, -0.5, -1/720? -1/720 Which is the closest to -0.4? (a) -1 (b) 12 (c) 0.05 c What is the closest to 8/5 in 0.1, 3, -243? 3 Which is the nearest to -239? (a) 73 (b) 4/7 (c) 0 (d) 1 c What is the nearest to -0.7 in 12/11, -0.06, -2, -4, -0.2? -0.2 Which is the closest to 0.1? (a) 18 (b) 4 (c) -15 (d) 0 d What is the nearest to -1 in -2/5, 2, -1.3, 1/6, -31.4? -1.3 What is the nearest to 0.02 in -0.3, -3, 0.06, -8? 0.06 Which is the closest to 0.176? (a) -34 (b) -0.4 (c) 4 b Which is the nearest to -0.069542? (a) -4/7 (b) -3 (c) 1/3 c Which is the closest to 1/4? (a) 49 (b) -1/2 (c) 12 (d) -4 b What is the nearest to -40/11 in -5, 0.4, -10, 15? -5 Which is the nearest to -10.9? (a) 0.5 (b) 3 (c) -2/11 (d) 78 (e) 1 c What is the closest to 0.3 in 1, 0.14, 0.1, 9? 0.14 Which is the closest to -2/5? (a) 1/5 (b) -1/511 (c) -2/5 (d) -0.3 c What is the closest to 0 in 0.1, 3.2, -0.853, 5/3, 0? 0 Which is the nearest to 75? (a) 4 (b) 3 (c) 5 (d) -69 c What is the closest to -0.3 in -2/19, -0.8, -2, 1091, 4? -2/19 What is the nearest to 0.008 in 0.036, -5, 3? 0.036 What is the nearest to 0.2 in 24, -0.06, 2/3, -0.1? -0.06 Which is the nearest to 2/9? (a) 1 (b) 0.7 (c) -3.4 b What is the nearest to -33 in -1/5, 1, -4/85, -0.3? -0.3 Which is the nearest to 0.1? (a) 2/13 (b) 29 (c) 14 (d) 0.19 a Which is the closest to 0.1? (a) 2/11 (b) 0 (c) -3/1753 a Which is the closest to -0.4? (a) 0.2 (b) -9 (c) 33 (d) -1/8 d Which is the nearest to 0? (a) 44.6 (b) -0.3 (c) 0 (d) -0.03 c What is the nearest to -2/11 in -0.4, 2/5, 5, -4, 7? -0.4 Which is the nearest to 8.2? (a) -2/5 (b) 0.04 (c) 0 (d) -2 b What is the closest to 2 in 2, 0.5, -0.3, -2, 20/3? 2 What is the closest to -0.054 in -4, 0, 239? 0 What is the closest to -0.1 in 91, 1/4, 2, -6.1? 1/4 What is the closest to -1/4 in -1/3, 260, 4, -3? -1/3 What is the closest to 2 in -5, 0.3, -376? 0.3 Which is the closest to -26? (a) 0.03 (b) 0.25 (c) -2 c What is the nearest to 46.5 in 0.2, 12/11, 4? 4 What is the nearest to 3/7 in -0.5, 5, 1117? -0.5 What is the nearest to 4157 in -2/3, 2/3, -5? 2/3 What is the closest to 4 in 0.4, -2/15, 365, 3/25, 0.3? 0.4 What is the nearest to -29/2 in -5/4, 1/3, 0.5, -0.4, 5? -5/4 What is the nearest to -1 in 3/2, 0, 2/5, 5, 8/3? 0 Which is the closest to 17/4? (a) 10 (b) -9/4 (c) -2 a What is the closest to -229 in 22, 0.2, 4? 0.2 Which is the closest to -0.1? (a) -3 (b) -0.159 (c) -0.05 (d) 1/6 (e) -2/5 c What is the nearest to -1673 in -1/15, -2/15, 0.1? -2/15 What is the neare
{ "pile_set_name": "DM Mathematics" }
52)/156). 2/11 (-16)/(-70)*60/(-24) -4/7 Calculate ((-24)/(-20))/(18/(-60)). -4 Evaluate ((-2)/4)/(115/(-20) + 6). -2 Calculate (-1)/2 - 2/(-4). 0 What is -13 + 3 - -3 - 2? -9 ((-1)/(4/2))/(399/76) -2/21 Calculate ((12/115)/3)/((-56)/140). -2/23 Calculate (-34)/17 - (-4)/2. 0 Evaluate 5/(0 + -3 + 4 + -2). -5 Evaluate (4 + (-475)/115)*2/3. -2/23 Evaluate 14 + -9 - ((-7)/(-1) + 0). -2 What is ((-4)/20*10)/(1 - -7)? -1/4 Evaluate 3/(-2)*(-64)/48. 2 What is 0/2 - -7*(-24)/252? -2/3 Evaluate (0 + (-2)/4)/((-2)/4). 1 (-51)/(-510)*(1 - (-3)/9) 2/15 What is the value of (-9)/((-99)/(-44)) + 81/21? -1/7 What is the value of (2 - 18/24)*-4? -5 (-2 - -4)*20/8 5 What is the value of (36/(-30))/(3/20) - -4? -4 Evaluate 144/252*(-35)/110. -2/11 Calculate (16 - 12)*-1 - 6. -10 What is the value of (4/14)/((90/(-35))/6)? -2/3 What is ((-28)/(-231))/((-12)/(-18))? 2/11 What is the value of ((-12)/(-28))/(3/2)? 2/7 What is (4/15)/(0 - (-10)/(-50))? -4/3 What is 1*-5*40/500? -2/5 Calculate (-3)/((-20 + -10)/(-6)). -3/5 Evaluate 40/(-4) + (-24)/(-8). -7 3/(-18) + (-23)/690 -1/5 Calculate 3 + (-10 - (-4)/1). -3 Calculate (-2)/(-5)*(2 + (-4)/(-8)). 1 -10 + 5 + (-2)/(-2) -4 Calculate 4/6 - 198/54. -3 0/(5/((-5)/2)) 0 Evaluate (4/(-8))/(8/4). -1/4 Evaluate (((-1)/5)/(1/(-5)))/(-1). -1 Evaluate ((-4)/10)/((-78)/(-30)). -2/13 Calculate -7 + (-280)/(-24) + -5. -1/3 Calculate 0/(-11) + 0/(-2) - 1. -1 What is the value of -2 + (-56)/(-7) + 50/(-8)? -1/4 Calculate (-252)/(-117) - (33/(-39) + 1). 2 What is the value of -10 - -8 - 192/(-270)*3? 2/15 Calculate (6/5)/(329/(-235)). -6/7 Calculate ((-4)/(-63))/(24/84). 2/9 (-2 - -3)*7*(-2)/(-28) 1/2 Evaluate 24/(-30)*5/(-2). 2 Calculate ((-1107)/45)/3 - (-18)/15. -7 What is (0 - 2/12)/(6/12)? -1/3 Calculate (-66)/(-14) - (16 + 14 + -25). -2/7 ((-55)/20 + 1)*(-6)/(-14) -3/4 What is (-7)/98 - (-108)/(-56)? -2 What is 4876/1166 + (-2)/11? 4 2*1 + (-36)/12 -1 Calculate ((-1)/(-3))/(7/(-42)). -2 What is the value of (-5)/(-60)*9/2? 3/8 What is the value of 2/(-14) + 3 + (-6)/(-42)? 3 What is (((-156)/(-104))/((-3)/14))/4? -7/4 What is ((-66)/99)/(57/(-18)*2)? 2/19 Evaluate (-540)/(-1386) + (-14)/(-77). 4/7 Calculate ((-13)/(-5) + -3)*(-20)/(-68). -2/17 What is the value of ((15/12)/5)/(7/(-21))? -3/4 (13/7 + -2)*(-51)/(-17) -3/7 Calculate (-2 - (2 + 1))*219/(-365). 3 What is the value of 4 + (28 - 10)/6? 7 Calculate -3 + (-11 - (-6)/1). -8 ((-27)/(-36))/(-1 - 10/(-4)) 1/2 What is 2/(-3)*7/(280/30)? -1/2 144/(-40) - (0 - 4) 2/5 Evaluate (-287)/(-126) + (-4)/(-18). 5/2 Calculate (-10)/4*32/200. -2/5 Calculate -3 + 1 - -10 - 5. 3 What is the value of (1 - 0)/(13/468*4)? 9 What is 0/(-4 + (3 - 1)*1)? 0 Calculate ((-6)/14)/((-550)/77 - -7). 3 Calculate ((-102)/(-357))/((-2)/(-35)). 5 What is the value of (10/15 + 0)*3? 2 Evaluate (99/(-18) - -6)/((-2)/(-20)). 5 Evaluate 20/6 + -1 - (-246)/369. 3 Calculate (18/(-108))/(4/9). -3/8 1*2/4*6 3 What is ((-35)/25 + 1)/((-30)/25)? 1/3 Evaluate 1*(11 + (-96)/8). -1 Evaluate -2*17/(102/9). -3 Evaluate 2/(-6)*(-18)/24. 1/4 Calculate 17/(-17) + (-1)/(-3). -2/3 Calculate 56/64*1*-4 + 4. 1/2 Evaluate (-6)/(-21) + 306/(-42). -7 Calculate 1 - -2 - (-9 - 0 - -8). 4 What is the value of ((-4)/10)/(144/540)? -3/2 Calculate 19/((-247)/91) - (-78)/11. 1/11 Calculate ((-12)/(-16))/((-15)/12). -3/5 Calculate 6/(-16) + (-468)/288. -2 (-1)/(-2)*(0 + 36/(-33)) -6/11 Calculate ((-13)/13)/(-3 + 2) + -1. 0 What is the value of 9 - 4/10*25? -1 Calculate (-69)/(-92) + (-6)/(-16)*6. 3 Calculate (-4)/8*-3*(-2)/(-15). 1/5 What is the value of (-3)/((-9)/6) - (-96)/(-40)? -2/5 Evaluate ((-38)/(-57))/(12/9). 1/2 What is the value of (1 - 1)/(-5 + 1)? 0 Calculate ((-108)/144)/(3 - (2 + -2)). -1/4 -2 + -1 - ((-6)/3 + 2) -3 (-8)/24 + 8/(-3) + 0 -3 What is the value of -30 + 36 - (0 + 13)? -7 Evaluate 3 - -1 - (6 + -4). 2 What is the value of (-33)/27 - (40/36)/(-5)? -1 Calculate -3 + (-3)/(-36)*39. 1/4 Calculate ((-1)/(-2))/(18/(-36)). -1 What is 0/(4 - (4 - 1))? 0 Calculate -1 + 1 + 2 + -4. -2 What is (3/(-8))/(-3 - -6)? -1/8 Evaluate 3/(-6)*(0/2 - 0). 0 What is (1 + -9)/2 - -5? 1 (-47)/(-52) + 4*7/(-182) 3/4 What is the value of (-87)/(-12) - (-9)/12? 8 Calculate (168/(-224))/((45/(-48))/5). 4 What is the value of (-352)/(-60) - 6/(-45)? 6 38/84 - 8/28 1/6 (-2)/7 + 134/(-21) + 6 -2/3 Calculate (1/12)/((-1)/3). -1/4 Evaluate 4 - 0 - 10/5. 2 What is (4*2/6)/(50/(-225))? -6 15*(7 + 23/(-3))/2 -5 What is the value of -10 - 32/(8/(-2))? -2 Evaluate 261/(-58)*(-20)/18. 5 What is the value of -2*(90/(-12))/15? 1 Evaluate (-2)/1*27/(-18). 3 (-65)/26 + (-6)/(-4) -1 What is 33/(-77)*-1*7? 3 What is the value of (-14)/21 - 56/(-12)? 4 Evaluate (2 - 7)*48/60. -4 What is the value of (-1)/2 + -11 + (-117)/(-10)? 1/5 What is 30/(-16) + -5 - -7? 1/8 What is the value of 345/35 + -6 - 4? -1/7 What is (-9)/((-2)/(-2)) - -4? -5 What is 23/63*3 - 1? 2/21 What is (-2)/(-10)*5 + (-18)/15? -1/5 Evaluate 125/10*((-1)/15)/1. -5/6 (-5)/(-50)*-5 + 1/(-2) -1 Evaluate (3/(-6)*-3)/((-165)/(-20)). 2/11 Calculate -1*(-4)/(-5) - 459/(-405). 1/3 Evaluate (-1 + 4)*(-1 - (-16)/6). 5 Calculate (-1)/(4/(-6)*(-6)/20). -5 Calculate (-34 + 35)*0/2. 0 What is (6/20 + 0)/((-438)/584)? -2/5 -9*1/2*(-12)/(-9) -6 Calculate 3/54*3 - 2/6. -1/6 Calculate ((-156)/(-42) - 0) + 4/14. 4 (-3 - 36/(-8))/((-66)/8) -2/11 (-21)/(-7)*(-1 + 26/30) -2/5 Evaluate 152/(-56) + 3 + (-27)/70. -1/10 (-75)/9 - (-9 - (-92)/12) -7 What is -2 + (-25)/(-10) + 0? 1/2 (2/(-4))/(4 - (-55)/(-10)) 1/3 ((-6)/(-33)*11)/5 2/5 Evaluate ((-24)/72)/(2/8). -4/3 Calculate -10*(-24)/16 - 8. 7 What is the value of 34/7 - 10/(-70)? 5 (-3)/(-60)*(-7)/((-56)/60) 3/8 What is the value of ((-15)/80*4)/(78/(-16))? 2/13 What is the value of 22/(-66) + (-5)/(-6)? 1/2 Calculate 2/(-4) - (-35)/14. 2 What is the value of ((-30)/(-35))/(-3) + (-124)/(-140)? 3/5 Calculate ((-4)/(-10))/((-16)/(-32)). 4/5 Evaluate (0 - -10)*(-8)/10. -8 Calculate -6 + 5 + (-1)/(-3). -2/3 2 + 51/(-6) - -6 -1/2 What is -3*(-3 + 120/42)? 3/7 What is -3 - (6/9)/((-2)/3)? -2 Calculate (-17)/(-4) - (28/16)/7. 4 (-25)/(-3600)*12*1*-2 -1/6 What is the value of 1*((-6)/21)/(-1)? 2/7 What is (-200)/75*(-1)/(-12)? -2/9 What is 14/15 - 162/270? 1/3 What is the value of (-34)/153 + (-25)/9? -3 What is 2 + 5/(-10)*(12 + 0)? -4 What is the value of (25/15 + -3)*10/60? -2/9 What is the value of 0 + (-4)/28*(-7)/4? 1/4 Evaluate ((-140)/210)/((-2)/(-9)). -3 What is the value of (654/(-60) - -11)*-2? -1/5 What is the value of ((-6)/12)/((-2)/12)? 3 What is the value of (-8 - (-40)/(-10))/(-2)? 6 Calculate 1*(-4)/8*(47 - 47). 0 Calculate ((-10)/16)/(105/(-42)). 1/4 Evaluate (-8)/(-12)*(-8)/((-64)/84). 7 Evaluate (1 + -2)/(-1) + 75 + -77. -1 (-3)/(9*(-2)/(-12)) -2 Calculate (-18)/(-63) + (-4)/63. 2/9 What is the value of (-2)/(-15)*(28/(-12) - 1)? -4/9 What is (3/(-3))/(4/12)? -3 Evaluate (((-704)/(-48))/22)/((-1)/(-3)). 2 20/70 - (-32)/(-14) -2 What is the value of ((-1152)/8)/16*(-4)/(-6)? -6 Calculate 5/35*(5 + 5 - 3). 1 Evaluate -2 + ((-30)/32)/((-24)/32). -3/4 What is the value of (-6)/(-60)*2 + (-1)/5? 0 Calculate 4/(-3) + (-8)/(-24). -1 What is the value of (-111)/21 + 3 - -2? -2/7 Calculate (-1)/(7/28 - 2). 4/7 What is (-55)/(-65) + (-4)/(-26)? 1 What is the value of (0 + 3 + -1)/((-8)/(-16))? 4 What is the value of 1/(-3)*((-252)/(-35))/(-6)? 2/5 What is the value of 21*3/72*(-6)/(-14)? 3/8 Evaluate (-840)/(-84) - 2/(-2). 11 What is the value of 4 + (-56)/12 - -1? 1/3 What is 10/105 + (-103)/(-21)? 5 What is -5 + ((-7)/(-2) - -3)? 3/2 Evaluate (-10)/28 - 3/(-6). 1/7 Evaluate -4 + 418/110 + 11/(-20). -3/4 Calculate ((10/(-4))/(-5))/(4/40). 5 What is the value of (-1)/2*(-12 + 12)? 0 What is the value of (18/20)/(17/((-340)/(-48)))? 3/8 Calculate 0/(-2) - (-1 - 0). 1 Evaluate 176/30 + ((-242)/165)/(-11). 6 Calculate ((-30)/70 - 90/(-14)) + -12. -6 What is the value of 2 - ((0 - -7) + 29 + -27)? -7 What is the value of (4/(-5))/((-52)/(-130))? -2 What is 2/(-5 - -3) - -4? 3 Evaluate 35*(-12)/(-90) - 5. -1/3 Evaluate 18/40*(-15)/9. -3/4 What is 1406/1295 + 8/84*-3? 4/5 What is the value of 2 - 17/(17/4)? -2 Calculate (30/80)/(1 - (-15)/(-6)). -1/4 Evaluate 0 + 5 - (-1533)/(-292). -1/4 What is the value of 9/5 + ((-6)/(-5) - 2)? 1 (-2 + (-1)/2)/(3 - 13)
{ "pile_set_name": "DM Mathematics" }
. Give prob of sequence ee. 1/2 Four letters picked without replacement from {q: 3, l: 2, t: 2, x: 2}. Give prob of sequence lqql. 1/252 Calculate prob of sequence so when two letters picked without replacement from gbgssbsgbsosbbb. 1/42 What is prob of sequence wu when two letters picked without replacement from {u: 7, w: 2}? 7/36 Calculate prob of sequence rr when two letters picked without replacement from {u: 7, r: 4, x: 2}. 1/13 What is prob of sequence xz when two letters picked without replacement from xhxxhhxohxz? 1/22 What is prob of sequence wld when three letters picked without replacement from ldwlwowlwllwww? 5/312 Two letters picked without replacement from aipmppmhwmamimm. Give prob of sequence ip. 1/35 Two letters picked without replacement from {p: 1, d: 2, e: 2, r: 1, o: 1, t: 1}. What is prob of sequence re? 1/28 Two letters picked without replacement from wyyylwylwwyyylwyll. Give prob of sequence yy. 28/153 Calculate prob of sequence weki when four letters picked without replacement from iweizkewiei. 1/330 Calculate prob of sequence ex when two letters picked without replacement from {e: 1, g: 1, x: 7, u: 2, p: 3, y: 4}. 7/306 Calculate prob of sequence oxu when three letters picked without replacement from {x: 1, u: 4, k: 1, o: 2}. 1/42 Calculate prob of sequence pppp when four letters picked without replacement from pkpppppkkpppkp. 30/143 What is prob of sequence sqc when three letters picked without replacement from cqspcsa? 2/105 Two letters picked without replacement from {f: 4, z: 1, a: 1, r: 1, p: 4, u: 1}. Give prob of sequence uf. 1/33 Calculate prob of sequence dp when two letters picked without replacement from eiididvddiivpiididid. 7/380 Three letters picked without replacement from {k: 2, m: 4, h: 1, j: 1}. What is prob of sequence hmk? 1/42 What is prob of sequence yytt when four letters picked without replacement from {j: 7, v: 2, y: 6, z: 1, t: 4}? 1/323 Two letters picked without replacement from llllllllvlllvlllvl. Give prob of sequence vv. 1/51 Calculate prob of sequence ppdp when four letters picked without replacement from {r: 1, p: 3, z: 1, d: 2, a: 3}. 1/420 What is prob of sequence tkut when four letters picked without replacement from quttuzk? 1/210 What is prob of sequence qs when two letters picked without replacement from qaqs? 1/6 Two letters picked without replacement from qqvqv. What is prob of sequence qq? 3/10 Two letters picked without replacement from {i: 2, w: 1, q: 2, y: 1}. What is prob of sequence qi? 2/15 Three letters picked without replacement from {k: 2, q: 3, z: 1, m: 3, y: 2, p: 1}. Give prob of sequence kqy. 1/110 Two letters picked without replacement from uakkkkaakkkkkkkk. Give prob of sequence aa. 1/40 Two letters picked without replacement from {h: 5, o: 1, e: 2, c: 1, v: 1}. Give prob of sequence hh. 2/9 Three letters picked without replacement from {f: 10, p: 4}. Give prob of sequence ffp. 15/91 Four letters picked without replacement from {x: 1, r: 3, g: 2, t: 6}. What is prob of sequence rgtr? 1/165 Calculate prob of sequence vvc when three letters picked without replacement from {v: 7, c: 2}. 1/6 Four letters picked without replacement from {m: 11, p: 4, l: 4}. What is prob of sequence mplm? 55/2907 What is prob of sequence ttva when four letters picked without replacement from {v: 2, a: 6, x: 2, t: 3, g: 1}? 3/1001 Two letters picked without replacement from {k: 6, l: 2}. Give prob of sequence kl. 3/14 What is prob of sequence az when two letters picked without replacement from uzrmguraurgrmmruurzg? 1/190 Four letters picked without replacement from {p: 10, n: 2}. Give prob of sequence pppp. 14/33 What is prob of sequence kf when two letters picked without replacement from kkxkkkxmkxflbxkfbb? 7/153 Two letters picked without replacement from {h: 2, a: 18}. What is prob of sequence aa? 153/190 Three letters picked without replacement from rrrz. Give prob of sequence rrr. 1/4 Calculate prob of sequence uuo when three letters picked without replacement from udmouodduumduudmudud. 14/855 Two letters picked without replacement from {l: 1, s: 1, u: 2}. What is prob of sequence su? 1/6 What is prob of sequence ee when two letters picked without replacement from xxxeeeeexeeeeeexee? 26/51 Four letters picked without replacement from qqqlqqlqlq. What is prob of sequence qllq? 1/20 What is prob of sequence me when two letters picked without replacement from {k: 2, r: 3, e: 1, u: 4, m: 2}? 1/66 Three letters picked without replacement from hssshhtthshshhssss. Give prob of sequence ths. 7/272 What is prob of sequence nczn when four letters picked without replacement from {n: 12, z: 3, r: 1, v: 1, x: 1, c: 1}? 11/2584 Calculate prob of sequence bll when three letters picked without replacement from llbqbbbbbbq. 7/495 Two letters picked without replacement from cpacpyakkkhh. Give prob of sequence ph. 1/33 Three letters picked without replacement from yyjyjjjsoysyyyiys. Give prob of sequence jio. 1/1020 Calculate prob of sequence tth when three letters picked without replacement from {h: 3, j: 1, u: 2, t: 4}. 1/20 Four letters picked without replacement from {j: 3, k: 5, z: 2, s: 3, g: 1, c: 1}. What is prob of sequence jgss? 1/1820 Four letters picked without replacement from myupyuuywuoy. What is prob of sequence pmyo? 1/2970 What is prob of sequence rxrr when four letters picked without replacement from rrexrrerrxrrerrrr? 11/238 Two letters picked without replacement from qwe. Give prob of sequence qe. 1/6 Three letters picked without replacement from fffwww. What is prob of sequence wwf? 3/20 Four letters picked without replacement from {z: 2, a: 2, c: 11}. What is prob of sequence zcac? 11/819 Two letters picked without replacement from bxbjzjjjjzijzj. Give prob of sequence xb. 1/91 Three letters picked without replacement from {q: 5, w: 1, o: 2, v: 5, e: 1, h: 1}. Give prob of sequence ovh. 1/273 What is prob of sequence ent when three letters picked without replacement from namte? 1/60 Two letters picked without replacement from {x: 5, u: 3, n: 6, p: 1}. Give prob of sequence pu. 1/70 Calculate prob of sequence gh when two letters picked without replacement from {w: 2, g: 1, h: 4, m: 2, u: 3, f: 3}. 2/105 Calculate prob of sequence wa when two letters picked without replacement from {r: 3, w: 1, a: 1}. 1/20 Two letters picked without replacement from {s: 5, o: 15}. Give prob of sequence so. 15/76 Four letters picked without replacement from zlzdzlzzzvzdvsdzzzzz. Give prob of sequence vldz. 2/1615 What is prob of sequence shf when three letters picked without replacement from xxssxhfhhhicsxh? 1/182 Two letters picked without replacement from {v: 4}. What is prob of sequence vv? 1 Two letters picked without replacement from moqmqqmoq. Give prob of sequence oq. 1/9 Three letters picked without replacement from {p: 1, x: 3, o: 6, q: 4}. What is prob of sequence pxq? 1/182 What is prob of sequence zss when three letters picked without replacement from {z: 7, s: 4}? 14/165 Two letters picked without replacement from xxxiooxxxooiixxooo. What is prob of sequence ii? 1/51 Calculate prob of sequence mcyc when four letters picked without replacement from {m: 1, o: 2, y: 1, c: 4, g: 3}. 1/660 What is prob of sequence dd when two letters picked without replacement from vvtxxptxdpvwwdxx? 1/120 What is prob of sequence edd when three letters picked without replacement from sseseeeedesdese? 8/1365 Calculate prob of sequence mcj when three letters picked without replacement from mcammmxmjmmmxxfcmjm. 20/2907 Three letters picked without replacement from {y: 5, a: 3, i: 7, z: 2}. Give prob of sequence zzz. 0 Four letters picked without replacement from mmbbmscvybmv. What is prob of sequence smyb? 1/990 Four letters picked without replacement from {a: 7, t: 12}. What is prob of sequence tatt? 385/3876 What is prob of sequence ffhr when four letters picked without replacement from {c: 5, h: 5, r: 1, f: 7}? 7/2448 Calculate prob of sequence too when three letters picked without replacement from outoouuo. 1/28 Three letters picked without replacement from twutp. Give prob of sequence pwu. 1/60 What is prob of sequence jo when two letters picked without replacement from {j: 2, o: 16}? 16/153 What i
{ "pile_set_name": "DM Mathematics" }
omposite number? True Is 345756347 prime? True Is 2457179 prime? True Is 7468001 prime? True Is 115410137 a composite number? True Is 100787351 a prime number? False Is 715016747 prime? True Is 10631407 a composite number? True Is 110287 composite? True Is 577287899 a composite number? False Is 276009007 a prime number? False Is 354887 a composite number? True Is 694865315 composite? True Is 923327 prime? False Is 96621647 a prime number? True Is 1025881 composite? True Is 1025407 a prime number? True Is 68418011 a composite number? True Is 90434789 a composite number? True Is 3222941 composite? True Is 147721027 a prime number? True Is 4010693 a composite number? True Is 307311843 composite? True Is 55341917 a prime number? False Is 47394247 a composite number? False Is 396586621 composite? False Is 16387341 a composite number? True Is 4051759 composite? True Is 85874419 composite? True Is 4142309 a composite number? False Is 96803 a composite number? True Is 2117047 a prime number? False Is 212506561 a composite number? False Is 3680197 prime? False Is 30851105 composite? True Is 43234849 a composite number? True Is 205158679 composite? True Is 20988551 prime? True Is 634891 composite? False Is 63214757 a composite number? False Is 1967587 prime? True Is 6692006 a composite number? True Is 1305671 a composite number? True Is 4961233 composite? True Is 550309 a prime number? True Is 4872961 prime? True Is 1231757 a composite number? False Is 12141671 composite? False Is 154136659 prime? True Is 11970377 composite? False Is 38581937 prime? False Is 180167029 composite? True Is 19649887 a composite number? False Is 10905499 a prime number? False Is 8396389 a prime number? False Is 3903857 composite? False Is 68134267 a prime number? True Is 13565459 a prime number? False Is 49932389 prime? False Is 85988953 a composite number? True Is 19223233 prime? True Is 8468773 composite? False Is 74550085 composite? True Is 105407879 a prime number? True Is 4096999 composite? False Is 2709445 a composite number? True Is 288582319 a composite number? False Is 142330801 a composite number? True Is 906742 a composite number? True Is 13784851 prime? True Is 6788433 composite? True Is 2253599 a prime number? True Is 3173041 prime? False Is 2650913 a prime number? False Is 2672671 prime? True Is 673571 a composite number? True Is 16128677 composite? False Is 129601243 prime? False Is 22795187 a prime number? False Is 520009 prime? False Is 30066581 a composite number? False Is 267063961 a composite number? False Is 176081 a composite number? False Is 1000033 a prime number? True Is 5337811 a composite number? False Is 518057 a composite number? False Is 2147485 a composite number? True Is 117623371 a prime number? True Is 74732887 prime? False Is 9330911 composite? True Is 198870647 composite? False Is 22021211 composite? False Is 762713 a composite number? True Is 401551 a composite number? False Is 38514233 a prime number? False Is 1467073 a prime number? False Is 84224939 a prime number? True Is 3481817 composite? True Is 68327407 a composite number? False Is 43904545 a composite number? True Is 3635171 a composite number? False Is 3342331 composite? False Is 14726797 a prime number? False Is 8818837 a composite number? True Is 59446567 a composite number? False Is 30094019 a prime number? True Is 5902201 composite? False Is 24924797 a composite number? True Is 54211511 a prime number? False Is 1090303 a composite number? False Is 86217617 a composite number? True Is 107728723 a composite number? False Is 18861137 prime? True Is 6681227 a composite number? True Is 352308797 a composite number? False Is 12632657 prime? True Is 5415863 a prime number? False Is 7408669 a composite number? False Is 15332887 a composite number? True Is 2110001 a composite number? False Is 19760459 composite? True Is 117669803 a composite number? False Is 32302229 a composite number? True Is 267103049 a composite number? False Is 61436891 prime? True Is 21292781 prime? True Is 2667235 composite? True Is 117678809 prime? True Is 46167239 a prime number? True Is 5119859 prime? True Is 801673577 a composite number? True Is 476579 prime? True Is 1499171 a composite number? True Is 8971619 a prime number? True Is 150966947 composite? False Is 64289 composite? True Is 389481941 a prime number? True Is 13919741 prime? False Is 1314409 a composite number? False Is 11691179 prime? True Is 278534599 a prime number? False Is 468953 a prime number? True Is 363560627 prime? True Is 302848409 prime? True Is 7877659 composite? True Is 20446787 composite? True Is 63128027 composite? False Is 1196593 composite? False Is 101338093 composite? True Is 38366917 composite? False Is 21579557 prime? True Is 110096279 a composite number? True Is 4599727 composite? True Is 506189933 composite? True Is 57146351 composite? True Is 15440099 a composite number? False Is 56748235 composite? True Is 7823021 a prime number? False Is 9815842 a prime number? False Is 345106859 composite? True Is 175419407 a prime number? True Is 24557003 prime? True Is 2354039 a prime number? True Is 54700537 a composite number? True Is 3929167 prime? False Is 2887159 a prime number? False Is 5477119 composite? False Is 1243997 a composite number? False Is 10086019 prime? True Is 12279647 a composite number? False Is 5295153 composite? True Is 1356071 composite? True Is 1376291 composite? True Is 460783859 a prime number? True Is 1817353 prime? False Is 94924477 composite? False Is 3664954 composite? True Is 766721 prime? True Is 245513 a composite number? False Is 872671 composite? False Is 68709367 prime? False Is 500262013 a composite number? False Is 2622473 composite? True Is 88437469 a composite number? True Is 2056193 prime? True Is 24373931 a prime number? True Is 5883947 composite? False Is 292639247 composite? False Is 99834097 a prime number? False Is 787251799 composite? False Is 28281299 a composite number? False Is 62084587 composite? False Is 156467057 a prime number? True Is 167544311 a composite number? True Is 70160401 a prime number? True Is 49807414 prime? False Is 70535539 a composite number? True Is 32260381 a composite number? False Is 5756815 a composite number? True Is 1597979 prime? True Is 27158038 a prime number? False Is 6186469 a composite number? True Is 30111509 composite? True Is 5992361 a composite number? False Is 5931169 composite? False Is 67453 a prime number? True Is 16666711 composite? False Is 7324985 prime? False Is 4320029 composite? True Is 5101441 composite? False Is 901422787 composite? False Is 5406041 a prime number? True Is 51641177 a composite number? True Is 3393311 a prime number? True Is 57406915 a composite number? True Is 63515827 a prime number? True Is 119830339 a composite number? True Is 105425666 prime? False Is 488603 a prime number? True Is 4186997 a composite number? False Is 76481 composite? False Is 191827 a composite number? False Is 102386863 a composite number? False Is 8543401 prime? False Is 21751817 a prime number? True Is 15388631 composite? False Is 1040407 a prime number? True Is 222649901 a prime number? False Is 33462917 prime? True Is 62183119 a prime number? False Is 10827197 a prime number? True Is 37604753 a prime number? True Is 59595421 a prime number? False Is 2423627 prime? True Is 4622279 composite? True Is 1259287 prime? True Is 77006801 prime? True Is 113672233 a prime number? False Is 1064819677 composite? True Is 20284469 composite? False Is 1062553 a prime number? False Is 35334919 composite? False Is 478039 prime? True Is 613079 prime? False Is 7564747 a prime number? True Is 34840691 composite? True Is 1158361 composite? False Is 919943 a prime number? False Is 8541983 composite? False Is 4037339 composite? True Is 565907915 a prime number? False Is 8881517 a composite number? True Is 5578987 composite? False Is 76138949 a prime number? False Is 34621861 composite? True Is 2136473 a prime number? True Is 351821 a composite number? True Is 142188337 a composite number? False Is 272077745 composite? True Is 488491697 a prime number? True Is 97453103 a prime number? False Is 34974403 a composite number? True Is 1026993959 prime? True Is 36
{ "pile_set_name": "DM Mathematics" }
uppose 103 = l + 4*l + d*h, l = -h + 19. Calculate the remainder when 88 is divided by l. 19 Let b(k) be the second derivative of -k**5/20 + 25*k**4/12 + k**3/6 + 11*k**2/2 - 30*k. Calculate the remainder when b(25) is divided by 13. 10 Suppose 0*y = -3*y. Suppose 68 = 4*g - y*g. Suppose 215 = -12*t + g*t. Calculate the remainder when t is divided by 11. 10 Let y = 26 + -45. Let v = y + 34. Calculate the remainder when 43 is divided by v. 13 Suppose i - 2*k = 41, -36*i - 187 = -41*i + 4*k. What is the remainder when 66 is divided by i? 31 Let f(g) = -g**3 + 4*g**2 + 12*g + 2. Let u be f(6). Suppose -3*z = z + u*c - 160, -5*c + 120 = 3*z. Calculate the remainder when z is divided by 16*1 + 0 + -2. 12 Let h = 111 - 63. Suppose -3*f = -h - 54. What is the remainder when f is divided by 7? 6 Suppose 5*h - 5*n = -70, 0 = -4*h + 3*n - 34 - 21. Let z = -10 - h. What is the remainder when 4*-4*(z + -5) is divided by 17? 15 Suppose 2 = -2*a + 6. What is the remainder when 72 is divided by -39*(-2)/6 + a? 12 Let q be (-4)/(-10) - 1043/(-5). Suppose 4*l + 4*t - 103 + 11 = 0, 4*t - 11 = -l. What is the remainder when q/4 + (-2)/8 is divided by l? 25 Let w(a) = -3*a + 2. Let k be w(-2). Let q = k + 0. Calculate the remainder when ((-5)/4)/(1/(-12)) is divided by q. 7 Let f = -28 + 93. Calculate the remainder when f is divided by 34. 31 Let p(f) = f**3 - 11*f**2 + 11*f - 13. Let n be p(10). Calculate the remainder when n + (171/3 - -3) is divided by 15. 12 Let n(z) = 1 - 3 + 1 + 4 + 48*z. Let v be n(-2). Let y = 136 + v. Calculate the remainder when y is divided by 15. 13 Suppose 2*w + 2*o - 105 = -37, -2*w = -4*o - 74. Calculate the remainder when (33 + 1/1)*3 is divided by w. 32 Let d = -161 - -91. What is the remainder when 89 is divided by (-3 - d/6)/((-4)/(-6))? 11 Let g = -24 + 17. Let r(l) = 2*l**2 + 10*l + 10. What is the remainder when r(g) is divided by 53/4 + (-2)/8? 12 Let i(b) = b**2 - 5*b - 77. Suppose 5*x + 50 = 10*x. Calculate the remainder when i(13) is divided by x. 7 Let l(t) = t**2 - 3*t + 121. What is the remainder when l(-13) is divided by 21? 14 Let u(t) = 222*t**2 - t + 1. What is the remainder when u(-1) is divided by 33? 26 Let u = 24 - 15. Suppose -30*o - 1050 = -65*o. What is the remainder when o is divided by u? 3 Suppose -3*c - c = 3*b - 168, -4*b = -2*c + 106. What is the remainder when c/3 - (-1)/1 is divided by 6? 4 Let q = 24 - 39. Let w be 238/15 - 2/q. Let u = w - 0. Calculate the remainder when 79 is divided by u. 15 Suppose -3*n = -2*l + 92, -n = -4*n. What is the remainder when 224 is divided by l? 40 Let r = 23 + -20. Suppose -z - r*z + 128 = 0. Let x = z - -21. What is the remainder when x is divided by 27? 26 Let r(i) = -14*i**3 - 4*i - 1. Let f be r(2). Let s = -82 - f. Calculate the remainder when 77 is divided by s. 38 Let h = -1401 - -1439. What is the remainder when h is divided by 19? 0 Let x = -3 - -4. Let p(b) = -b**3 - 6*b**2 + 27*b - 1. Let u be p(-9). What is the remainder when 38 is divided by x - -22 - (4 + u)? 18 Let r(n) = -6*n. What is the remainder when ((-868)/126*-3)/((-4)/(-6)) is divided by r(-3)? 13 Let o = 1 - -23. Let p be 4*(-20)/8 - 0. Let h = p + o. What is the remainder when h is divided by 8? 6 Let u(v) be the first derivative of v**3/3 + 7*v**2/2 - 13*v - 3. Let l be u(-9). Suppose -l*q - 11 = -136. Calculate the remainder when q is divided by 9. 7 Suppose 4*b - 3*k = 44, 3*k - 33 = 2*b - 49. What is the remainder when 248 is divided by b? 10 Suppose -y - g + 122 = 0, 6*g - 9*g + 118 = y. What is the remainder when y is divided by 74? 50 Suppose -34*a + 740 = 3*a. Let j(y) be the first derivative of y**3/3 + 1. What is the remainder when j(-6) is divided by a? 16 Suppose 0 = -56*w + 989 - 37. Calculate the remainder when 44 is divided by w. 10 Let d(j) be the second derivative of 0 + 1/2*j**2 + j - 43/6*j**3. What is the remainder when d(-1) is divided by 23? 21 Suppose 23*b = 20*b + 132. What is the remainder when 272/b + (-4)/22 is divided by 5? 1 Let y = -22 + 71. Suppose -q - 2*i + y = 0, -5*q + 2*i = 4*i - 253. Suppose s - 4*s + q = 0. What is the remainder when 33 is divided by s? 16 Let z(l) = -2*l**2 + 22*l - 25. Calculate the remainder when 493 is divided by z(7). 28 Suppose -5*f + 4 = -9*f. Let t(x) = -6*x - 1. Let n be t(f). Suppose -c + 2*s = -26 - 25, -n*s = -3*c + 154. Calculate the remainder when c is divided by 14. 11 Suppose -f + 0*f - 3*r + 11 = 0, -f = 2*r - 11. What is the remainder when 28 is divided by f? 6 Let c(t) = t**2 - t. Calculate the remainder when (15/2)/(91/546) is divided by c(4). 9 Suppose -s + x + 7 + 4 = 0, -4*s - 5*x + 53 = 0. What is the remainder when 114 is divided by s? 6 Let a(r) = -35*r**3 - r**2. Let o(q) = -q**2 - 17. Let w be o(-6). Let u = w - -65. Calculate the remainder when a(-1) is divided by u. 10 Suppose -12 = -4*a, 5*a - 82 = -4*z + 145. Let g = -17 + 3. Let m = 4 - g. Calculate the remainder when z is divided by m. 17 Let t = -1 - -9. Let z be 3 + 53 + (5 - 1). Suppose -98*v = -95*v - z. Calculate the remainder when v is divided by t. 4 Suppose 2*o - 25*j + 27*j = 142, 4*o = j + 294. What is the remainder when 186 is divided by o? 40 Let k(t) = t. Let y be k(0). Suppose 2*z = -y*z + 16. Let u = 29 - 26. What is the remainder when z is divided by u? 2 Suppose 0*p = 5*p - 175. Let j(y) = -22*y + 511. Calculate the remainder when j(17) is divided by p. 32 Calculate the remainder when 82 is divided by (2 + -4)*-11 - (-9 + 5). 4 Let n(h) = -h**3 + 7*h**2 + 23*h - 15. What is the remainder when 95 is divided by n(9)? 5 Suppose -3*j + 243 = -3*l - 120, -j - 5*l = -103. Calculate the remainder when 1061 is divided by j. 117 Let b(f) = 5*f**2 - 23*f - 12. Let h be b(12). Let s = 615 - h. What is the remainder when s is divided by 46? 45 Suppose -2*n = j - 100, 9*j - 12*j + 250 = -4*n. What is the remainder when j is divided by 7? 6 Let l = -509 + 567. Calculate the remainder when 166 is divided by l. 50 What is the remainder when (-595)/(-10) - 1/2 is divided by 32? 27 Suppose -195 = -3*y + 42. Let j be (96/(-10))/((-2)/(-10)). Let c = -28 - j. Calculate the remainder when y is divided by c. 19 Let w = -250 - -469. Calculate the remainder when w is divided by 44. 43 Let o be ((2 + -3)/1)/(18/270). Let s = o + 31. Calculate the remainder when 45 is divided by s. 13 Let h(x) = -x**3 + 6*x**2 + 8. Let u be h(6). Let k(c) = c**3 - 9*c**2 + 8*c - 2. Let l be k(u). What is the remainder when 51 is divided by 0/(-3) - -11 - l? 12 Suppose k + 16 = 3*k. Let s(j) = -2*j - 7. Let c be s(-9). Suppose -92 = -c*m + 7*m. Calculate the remainder when m is divided by k. 7 Let o = 1719 + -1690. Calculate the remainder when 231 is divided by o. 28 Suppose 0 = -5*v + 12 + 3, -5*g - v = -13. Let j be 5/(1/g + 0). What is the remainder when ((-150)/(-20))/(3/j) is divided by 7? 4 Suppose -5*a = -4*j + 358, -335 = -5*j + 3*a + 106. Calculate the remainder when j is divided by 11. 10 Suppose -28*o = -26*o - 54. Calculate the remainder when (-157)/(-3) - (-16)/24 is divided by o. 26 Let y(q) = 10*q + 5. Suppose -1089 = -7*m - 26*m. Calculate the remainder when y(9) is divided by m. 29 Let t(i) = -2*i + 30. Suppose -321 = -b - 3*x - 38, 4*b - 5*x - 1217 = 0. Suppose -5*h = -3*h - b. What is the remainder when h is divided by t(-4)? 35 Let t(b) = b**3 - 3*b**2 - 3*b - 5. Let l be t(5). Suppose -6*z = -3*z - l. Calculate the remainder when 28 is divided by z. 8 Suppose -2*r = 2*r. Suppose 0 = -2*u - r*u + 146. Suppose -5*h - 133 = -12*h. What is the remainder when u is divided by h? 16 Let y(f) = 6*f**2 - 2*f + 1. Let v be y(2). Let c = -12 + v. Calculate the remainder when 10/(120/(-102))*(-12)/3 is divided by c. 7 Let y(f) = -158*f + 2. Let n(r) = 79*r - 1. Let o(t) = -7*n(t) - 4*y(t). What is the remainder when o(1) is divided by 20? 18 Let j be ((-8)/(-20)*2)/((-2)/(-5)). Calculate the remainder when 27 is divided by (3/j)/((-3)/(-20)). 7 Let n = -78 + 76. Suppose -3*c + 13 = -o + 109, -2*c = 4*o - 314. What is the remainder when o is divided by 5/(20/92) + n? 18 Let n(b) = 24*b**3 + 3*b**2 - 47*b + 44. Suppose 2*x = 5*x - 207. What is the remainder when x is divided by n(1)? 21 Suppose -104 = 195*h - 203*h. What is the remainder when 90 is divided by h? 12 Ca
{ "pile_set_name": "DM Mathematics" }
Let g = -33 + z. Solve g*p + 5*p**2 - 10*p**2 - 1 + 2*p**2 + 2*p**2 = 0 for p. 1 Suppose 78 = 4*t - 7*i, 24*i + 40 = 20*i. Factor 16/3*v**3 + 16/3 + 14*v**t + 44/3*v + 2/3*v**4. 2*(v + 1)**2*(v + 2)*(v + 4)/3 Let z(v) be the first derivative of v**4 - 1316*v**3/3 + 55094*v**2 - 318828*v - 12519. Factor z(m). 4*(m - 163)**2*(m - 3) Factor -2*v**2 + 4506*v - 277368 - 1108550 + 58426 + 153980 - 1442*v. -2*(v - 766)**2 Let l(u) be the first derivative of u**5/10 + 27*u**4/4 - 28*u**3 + 85*u**2/2 - 57*u/2 + 2679. Factor l(i). (i - 1)**3*(i + 57)/2 Let y(i) be the second derivative of i**4/6 + 7*i**3 + 20*i**2 + 3*i - 15. Suppose y(d) = 0. Calculate d. -20, -1 Suppose 189 = 12*a - 147. Factor 52*u**2 + 15*u**2 - 360*u - u**3 - 400 - a*u**2. -(u - 20)**2*(u + 1) Let q be (2 - 1) + (-9 + 10)*2. Solve -70118*v**2 + 70112*v**2 + 3*v**3 - 2*v**q + 8*v = 0. 0, 2, 4 Let v(o) be the first derivative of -o**4/36 - 2*o**3/9 + 2*o**2 - 151*o - 194. Let f(w) be the first derivative of v(w). Factor f(m). -(m - 2)*(m + 6)/3 Let k(n) be the second derivative of -n**7/42 - n**6/30 + 3*n**5/5 + 7*n**4/3 + 8*n**3/3 + 399*n. Factor k(o). -o*(o - 4)*(o + 1)*(o + 2)**2 Let v(j) = -13*j**3 - j**2 + 895*j - 326. Suppose -17*d = -8 - 94. Let z(g) = 2*g**3 - 149*g + 54. Let q(m) = d*v(m) + 34*z(m). Factor q(r). -2*(r - 5)*(r + 6)*(5*r - 2) Let q(d) be the third derivative of 1/1470*d**7 + 0*d + 2/21*d**3 - 9/280*d**6 - 2*d**2 + 1/14*d**4 + 4 - 1/84*d**5 + 5/784*d**8. What is s in q(s) = 0? -1, -2/3, -2/5, 1 Factor -9/5*a**2 - a + 14/5. -(a - 1)*(9*a + 14)/5 Let k be 91/(-3) + -1 + 24/18. Let o = -12 - k. Find r, given that 0*r**4 + r**4 - r**3 + 19*r - o*r - r**2 = 0. -1, 0, 1 Let m(o) = o**3 - 23*o**2 - 21*o - 81. Let j be m(24). Let q(h) = h**2 + 11*h + 20. Let n be q(j). Factor -3*x**n - 1/2*x**3 - 5/2*x + 0. -x*(x + 1)*(x + 5)/2 Let s(h) be the third derivative of h**8/168 + 4*h**7/105 - 99*h**6/10 - 4598*h**5/15 - 38599*h**4/12 - h**2 + 4772. Find z, given that s(z) = 0. -11, 0, 29 Suppose 852*j - 853*j = 95. Let l = -93 - j. Suppose -16/3*m**l + 0 + 0*m**4 + 2*m + 4*m**3 - 2/3*m**5 = 0. Calculate m. -3, 0, 1 Let b = 1729/170 - 339/34. Find c such that -11/5*c - b*c**3 - 6/5*c**2 - 6/5 = 0. -3, -2, -1 Determine l, given that -25*l**2 + 22*l**2 + 628*l + 5*l**2 = 0. -314, 0 Let x(p) be the first derivative of -p**3/4 - 207*p**2/8 + 2898. What is r in x(r) = 0? -69, 0 Let h(t) be the second derivative of -t**4/48 - 19*t**3/24 + 52*t**2 - 1772*t. Factor h(c). -(c - 13)*(c + 32)/4 Let z = -4/490123 + 1470389/2450615. Suppose 0 + 0*s**2 - z*s**3 + 3/5*s = 0. What is s? -1, 0, 1 Let l = -799 - -873. Let q = l - 70. Let -8/5*b**2 - 24/5*b**3 + 0 - 2*b**q + 0*b = 0. Calculate b. -2, -2/5, 0 Let w(j) be the first derivative of -j**4/6 + 20*j**3/3 + 133*j**2/3 + 68*j - 1920. Suppose w(s) = 0. Calculate s. -3, -1, 34 Let 4/3*u**3 - 52/3*u + 0*u**2 + 16 = 0. Calculate u. -4, 1, 3 Solve -39/7*q**2 + 0 - 3/7*q**4 - 24/7*q**3 - 18/7*q = 0. -6, -1, 0 Let k(w) = w**3 - 15*w**2 + 15*w + 4. Let l be k(14). Let v = -257 - -260. Suppose -l*a**2 - a**4 + 4 + 4 + 7*a**4 + 6*a**3 - 2*a**v = 0. Calculate a. -2, -2/3, 1 Let g(z) = 10*z**2 + 40*z + 80. Let a be 1*15/20 + 115/(-20). Let c(h) = -11*h**2 - 39*h - 78. Let j(p) = a*c(p) - 6*g(p). Let j(v) = 0. What is v? -6, -3 Let k(i) be the second derivative of i**4/6 - 6502*i**3/3 + 10569001*i**2 + 8488*i. Find j such that k(j) = 0. 3251 Let a(w) = -2*w - 73. Let y(c) = 9*c + 294. Let q(t) = -21*a(t) - 5*y(t). Let g be q(20). Find i such that 1/5*i**2 + 1/5*i - 1/5 - 1/5*i**g = 0. -1, 1 Let y be ((-24)/(-9))/(44/33). Let l(o) = -o**2 - 7*o + 4. Let t be l(-7). Let -t - 5*s**2 + 4*s + y + 2*s**2 + s**2 = 0. Calculate s. 1 Let -37588 + 121*h**2 + 167*h**2 - 1200*h + 38838 = 0. What is h? 25/12 Let -350/3 - 80/3*w - 2/3*w**2 = 0. Calculate w. -35, -5 Let j(a) be the second derivative of -a**6/780 - a**5/65 - 5*a**4/156 + 4*a**3/13 - 11*a**2/2 - 2*a - 81. Let u(v) be the first derivative of j(v). Factor u(b). -2*(b - 1)*(b + 3)*(b + 4)/13 Suppose -261*u - 1221 = -5724 - 3327. Factor 10*h + u - 5/2*h**3 - 15/2*h**2. -5*(h - 2)*(h + 2)*(h + 3)/2 Let w(c) = c**2 + 21*c + 3. Let i be w(-21). Determine h so that -h + 10*h + 27*h**2 - h**3 - 33*h**2 - 2*h**i = 0. -3, 0, 1 Let o(t) be the third derivative of 0*t**3 + 7/15*t**6 - 6*t + 17/35*t**7 + 2/15*t**5 + 0 + 0*t**4 + 9/56*t**8 - 4*t**2. What is w in o(w) = 0? -1, -2/3, -2/9, 0 Suppose 2*h - 14 = -50. Let i be -6*h/405*(-3)/(-2). Factor -4/5 - 6/5*p - i*p**2. -2*(p + 1)*(p + 2)/5 Suppose -10/3 + 62/3*i - 4*i**2 = 0. Calculate i. 1/6, 5 Let z(p) be the third derivative of p - 1/105*p**5 - 11/42*p**4 + 0*p**3 + 0 + 5*p**2. Find c, given that z(c) = 0. -11, 0 Let x = 22529/2 - 11260. Let 0*f + 0 - x*f**2 + 3/4*f**3 = 0. What is f? 0, 6 Let s(g) be the first derivative of 2/5*g**5 + 9/2*g**4 + 258 + 10*g**3 + 7*g**2 + 0*g. Factor s(q). 2*q*(q + 1)**2*(q + 7) Let n be (4 + (-126)/28)*(1 + -4). Let x(u) be the first derivative of -n*u + 16 - 27/8*u**2 - u**3. Factor x(a). -3*(a + 2)*(4*a + 1)/4 Suppose -80 = -4*d - 3*i, -5*d - 4*i = -61 - 39. Suppose 94*y - d*y = 0. Factor -92/5*p**2 + y + 28/5*p**3 + 24/5*p. 4*p*(p - 3)*(7*p - 2)/5 Let g(j) = 3*j**4 - 48*j**3 - 27*j**2 + 174*j + 168. Let x(k) = 5*k**4 - 95*k**3 - 54*k**2 + 347*k + 334. Let b(r) = 11*g(r) - 6*x(r). Solve b(m) = 0. -13, -2, -1, 2 Let c = -281080 - -281082. Factor 0 + 363/5*f - 792/5*f**c + 498/5*f**3 + 3/5*f**5 - 72/5*f**4. 3*f*(f - 11)**2*(f - 1)**2/5 Let q(n) be the second derivative of -n**5/15 - n**4/6 + 2*n**3/9 - 565*n. Factor q(k). -2*k*(k + 2)*(2*k - 1)/3 Let s = 480731/801235 + 2/160247. Find p such that -3*p**2 + 6/5*p + s*p**4 + 9/5*p**3 + 0 - 3/5*p**5 = 0. -2, 0, 1 Let o be (-61674)/(-855) + (-4)/30. Factor 2*r**2 - 205 + 5*r**3 + 81 - 17*r**2 + o + 72. 5*(r - 2)**2*(r + 1) Let i(o) be the second derivative of -1/9*o**3 - 1/90*o**5 + 1/18*o**4 + 1/9*o**2 + 2 + 99*o. Solve i(n) = 0. 1 Let p(o) be the first derivative of -8/15*o**5 + 0*o + 1/9*o**6 - 4/3*o**2 + 43 + 8/9*o**3 + 1/2*o**4. What is d in p(d) = 0? -1, 0, 1, 2 Let w(r) = -3*r**2 - 5*r + 128. Let j(y) = 4*y**2 - 64. Let v(k) = -k**2 + k. Let t(o) = j(o) + 2*v(o). Let g(x) = 5*t(x) + 2*w(x). Find l, given that g(l) = 0. -4, 4 Let a be (-4)/(-6)*(8 - (-4 + 0)). Factor a - 3*z**2 + 4*z**2 + 1599*z - 1605*z. (z - 4)*(z - 2) Let r = 65 + -63. Suppose n - r = 2. Let y(l) = 5*l**2 - 7*l - 21. Let u(j) = -j**2 + 2*j + 5. Let q(c) = n*y(c) + 18*u(c). Factor q(f). 2*(f + 1)*(f + 3) Let r(p) = 20*p**2 + 384*p + 6144. Let w(k) be the second derivative of 11*k**4/12 + 32*k**3 + 1536*k**2 - 2*k - 12. Let g(o) = -4*r(o) + 7*w(o). Factor g(t). -3*(t + 32)**2 Let g(j) be the first derivative of 9*j**6/40 + 23*j**5/5 + 245*j**4/8 + 25*j**3 + 10*j**2 + 36. Let t(y) be the second derivative of g(y). Factor t(r). 3*(r + 5)**2*(9*r + 2) Let g(b) be the third derivative of 18*b**2 - 1 + 0*b - 1/10*b**4 + 3/200*b**6 + 1/350*b**7 + 0*b**5 + 0*b**3. Factor g(u). 3*u*(u - 1)*(u + 2)**2/5 Let z = 59 - 57. Determine a, given that -a**4 - 213*a - 72*a**z + 75 - 2*a**4 + 30*a**3 + 183*a = 0. -1, 1, 5 Let a be (84 + -87)*10/(-12) + 0/2. Let w(k) be the first derivative of -a*k + 1/8*k**4 - 18 - 9/4*k**2 - 1/2*k**3. Factor w(x). (x - 5)*(x + 1)**2/2 Let r be (-3)/(45/(-48)) - 9/45. Factor 2*w - 28*w**2 - 29*w + r*w - 4*w**3 + 0*w**3. -4*w*(w + 1)*(w + 6) Let a(x) be the first derivative of 184*x**3/33 - 647*x**2/11 + 42*x/11 + 1716. Factor a(j). 2*(j - 7)*(92*j - 3)/11 Suppose 11 + 134 = 29*h. Let d(y) be the first derivative of 3*y - 14 + 3/5*y**h - 6*y**2 + 6*y**3 - 3*y**4. Factor d(p). 3*(p - 1)**4 Factor 68/9*p**2 + 320/9 - 352/9*p. 4*(p - 4)*(17*p - 20)/9 Let t(i) be the third derivative of 118*i**2 + 0 - 3/5*i**5 + 2/105*i**7 + 11/6*i**4 + 1/30*i**6 - 8/3*i**3 + 0*i. Factor t(y). 4*(y - 1)**3*(y + 4) Let r(d) = 130*d**3 + 255*d**2 + 5*d - 180. Let m(k) = -22*k**3 - 43*k**2 - k + 30. Let u(f) = 35*m(f) + 6*r(f). Factor u(i). 5*(i - 1)*(i + 2)*(2*i + 3) Let o(z) be the first derivative of z**4/6 - 5*z**3/3 + 25*z - 28. Let v(s) be the first derivative of o(s). Determine d so that v(d) = 0. 0, 5 Let u = -92118 + 92120. Determine o so that 0 + 3/2*o**5 + 0*o**u + 0*o - 3/2*o**4 - 3*o**3 = 0. -1, 0,
{ "pile_set_name": "DM Mathematics" }
+ 3*d**2/7 - 2*d/7. d*(d - 2)*(d - 1)**2*(d + 1)/7 Determine q so that -12*q**4 - 14475*q**3 - 5821362*q**2 - 781032132*q - 194894424 = 0. -402, -1/4 Factor -2*v**2/3 + 20*v/3 + 16. -2*(v - 12)*(v + 2)/3 What is z in 2*z**5/3 - 32*z**4/9 - 8*z**3/3 = 0? -2/3, 0, 6 Determine r, given that -8*r**5/9 + 14*r**4 - 544*r**3/9 - 16*r**2 + 384*r + 96 = 0. -2, -1/4, 6 Factor -2*n**2/5 + 6*n/5 + 220. -2*(n - 25)*(n + 22)/5 Factor -3*c**4/5 + 21*c**3/5 + 81*c**2/5 + 87*c/5 + 6. -3*(c - 10)*(c + 1)**3/5 What is n in 4*n**2 + 80*n + 256 = 0? -16, -4 What is i in -2*i**2/5 - 14812*i/5 - 27424418/5 = 0? -3703 Find n, given that -n**2/4 + 269*n + 1077/4 = 0. -1, 1077 Suppose -3*z**5 + 15*z**4 - 18*z**3 - 6*z**2 + 21*z - 9 = 0. What is z? -1, 1, 3 Let 5*a**5/2 + 45*a**4/2 + 75*a**3 + 115*a**2 + 165*a/2 + 45/2 = 0. What is a? -3, -1 What is f in f**4/4 + 5*f**3 - 3*f**2/4 - 31*f/2 - 10 = 0? -20, -1, 2 Factor -2*s**3/9 - 1942*s**2/9 - 466528*s/9 + 2381440/9. -2*(s - 5)*(s + 488)**2/9 Factor -2*o**4/3 + 58*o**3/3 + 256*o**2/3 + 88*o. -2*o*(o - 33)*(o + 2)**2/3 Let 2*t**5/3 - 46*t**4/9 + 106*t**3/9 - 34*t**2/9 - 40*t/3 + 8 = 0. Calculate t. -1, 2/3, 2, 3 Factor x**2/9 - x/3 - 4/9. (x - 4)*(x + 1)/9 Determine i, given that -i**2 + 5198*i - 6754801 = 0. 2599 Factor 3*o**3/5 + 36*o**2 - 369*o/5 + 186/5. 3*(o - 1)**2*(o + 62)/5 Solve 2*j**3/7 - 594*j**2/7 + 1182*j/7 - 590/7 = 0. 1, 295 Factor -2*m**3/5 + 690*m**2 - 396750*m + 76043750. -2*(m - 575)**3/5 Solve -4*b**4 - 80*b**3 + 2644*b**2 - 12880*b - 15600 = 0. -39, -1, 10 Factor -j**3/9 + 22*j**2/3 - 365*j/9 + 100/3. -(j - 60)*(j - 5)*(j - 1)/9 Solve -z**3/6 + z**2/3 + 25*z/6 - 25/3 = 0. -5, 2, 5 Determine j so that -2*j**3/9 + 185*j**2/9 + 31*j/3 = 0. -1/2, 0, 93 Factor q**2 - 1028*q + 264196. (q - 514)**2 Determine c, given that 26*c**2/3 - 11054*c/3 + 1700/3 = 0. 2/13, 425 Factor g**3 - 10*g**2 + 28*g - 24. (g - 6)*(g - 2)**2 Determine g so that -3*g**3 - 38*g**2/3 + 37*g/3 + 10/3 = 0. -5, -2/9, 1 Factor 3*l**2 + 10680*l + 10677. 3*(l + 1)*(l + 3559) Let 6*a**5/11 + 6*a**4 + 60*a**3/11 = 0. Calculate a. -10, -1, 0 Determine u, given that -u**4/4 - 3*u**3/2 + 7*u**2/4 = 0. -7, 0, 1 Factor 51529*w**4 - 908*w**3 + 4*w**2. w**2*(227*w - 2)**2 Factor 4*h**4 + 32*h**3 + 60*h**2 - 16*h - 80. 4*(h - 1)*(h + 2)**2*(h + 5) Factor 4*y**2 + 7456*y + 7452. 4*(y + 1)*(y + 1863) Determine r, given that 3*r**2/4 - 2055*r/4 - 1029/2 = 0. -1, 686 Suppose -2*m**3 - 78*m**2 - 220*m - 144 = 0. Calculate m. -36, -2, -1 Determine g so that -3*g**2 + 420*g + 423 = 0. -1, 141 Factor 2*v**2 + 42*v - 92. 2*(v - 2)*(v + 23) Let 2*x**3 + 26*x**2 + 62*x - 90 = 0. What is x? -9, -5, 1 Suppose q**4 + 96*q**3 + 373*q**2 + 462*q + 184 = 0. What is q? -92, -2, -1 What is k in 35*k**3 - 355*k**2 + 50*k = 0? 0, 1/7, 10 What is c in 2*c**5 + 10*c**4 + 10*c**3 - 10*c**2 - 12*c = 0? -3, -2, -1, 0, 1 Let 5*g**2 + 80*g + 140 = 0. Calculate g. -14, -2 Solve -3*l**5/8 + 27*l**4/8 - 33*l**3/4 + 9*l**2/4 + 69*l/8 - 45/8 = 0. -1, 1, 3, 5 Solve -84*q**5/5 + 93*q**4 + 441*q**3/5 - 1338*q**2/5 + 588*q/5 - 72/5 = 0. -2, 1/4, 2/7, 1, 6 Find i such that i**5/5 + i**4/5 - 3*i**3/5 - i**2/5 + 2*i/5 = 0. -2, -1, 0, 1 Factor -300*g**2 - 1260*g - 1323. -3*(10*g + 21)**2 Find d, given that 3*d**5/2 - 12*d**4 + 75*d**3/2 - 57*d**2 + 42*d - 12 = 0. 1, 2 What is z in -4*z**5 - 136*z**4 - 472*z**3 + 288*z**2 + 1404*z - 1080 = 0? -30, -3, 1 Find d, given that -10*d**2/7 + 936*d/7 + 376/7 = 0. -2/5, 94 Determine z, given that -5*z**2 - 430*z - 9245 = 0. -43 Find q, given that -q**4/5 + 7*q**3/5 + 8*q**2 + 44*q/5 = 0. -2, 0, 11 Factor -2*q**3 - 506*q**2 + 1020*q. -2*q*(q - 2)*(q + 255) Suppose 26*z**3 - 134*z**2 + 20*z = 0. Calculate z. 0, 2/13, 5 Factor -2*u**2/7 - 17440*u/7 - 38019200/7. -2*(u + 4360)**2/7 Find v, given that -v**2 - 156*v - 6084 = 0. -78 Factor -25*f**3/4 - 495*f**2/4 + 621*f/4 - 189/4. -(f + 21)*(5*f - 3)**2/4 Find t such that -t**3/2 - 55*t**2/2 + 92*t + 290 = 0. -58, -2, 5 Determine l so that -24*l**5 - 21*l**4 + 579*l**3 - 936*l**2 + 108*l = 0. -6, 0, 1/8, 2, 3 Factor -20*q**3 + 168*q**2 - 204*q + 56. -4*(q - 7)*(q - 1)*(5*q - 2) Solve -21*b**4 + 1695*b**3 - 31266*b**2 - 120204*b - 31752 = 0. -3, -2/7, 42 What is u in -u**3 + u**2 + 4*u - 4 = 0? -2, 1, 2 Factor -r**5/8 - r**4 - 11*r**3/4 - 3*r**2 - 9*r/8. -r*(r + 1)**2*(r + 3)**2/8 Factor 2*c**2/3 - 3836*c/3 + 1839362/3. 2*(c - 959)**2/3 Factor -6*o**3 - 164*o**2 + 334*o/3 - 56/3. -2*(o + 28)*(3*o - 1)**2/3 Factor 3*o**4 + 36*o**3 + 33*o**2. 3*o**2*(o + 1)*(o + 11) Factor -20*j**5 - 35*j**4 + 10*j**3. -5*j**3*(j + 2)*(4*j - 1) Let r**2 + 222*r + 12321 = 0. Calculate r. -111 Factor 15*j**5 - 70*j**4 + 65*j**3 + 90*j**2 - 100*j - 40. 5*(j - 2)**3*(j + 1)*(3*j + 1) Factor -2*u**2/9 + 152*u/9 - 2888/9. -2*(u - 38)**2/9 What is a in -5*a**2 + 70*a + 360 = 0? -4, 18 Solve 2*s**4 + 209*s**3/2 + 26*s**2 = 0 for s. -52, -1/4, 0 Factor -2*i**4/15 + 8*i**3/15 + 2*i**2/3. -2*i**2*(i - 5)*(i + 1)/15 Suppose -y**2/6 + 13*y/6 + 15 = 0. What is y? -5, 18 Find y such that 4*y**2 + 60*y = 0. -15, 0 Factor f**3/7 - 99*f**2/7 + 978*f/7 - 880/7. (f - 88)*(f - 10)*(f - 1)/7 Determine r so that 4*r**3 - 456*r**2 + 896*r = 0. 0, 2, 112 Find s such that -3*s**2 - 366*s - 1071 = 0. -119, -3 Suppose -5*b**3 - 240*b**2 + 5*b + 240 = 0. What is b? -48, -1, 1 Determine c, given that 12*c**3 - 44*c**2 + 24*c = 0. 0, 2/3, 3 Factor -f**2 - 11*f + 26. -(f - 2)*(f + 13) What is j in j**5/4 + 3*j**4/4 + j**3/4 - 3*j**2/4 - j/2 = 0? -2, -1, 0, 1 Suppose 5*w**4 - 200*w**3 - 210*w**2 + 200*w + 205 = 0. Calculate w. -1, 1, 41 Determine q, given that -3*q**4/8 - 39*q**3/2 + 243*q**2/4 - 123*q/2 + 165/8 = 0. -55, 1 What is v in -2*v**3 + 154*v**2 - 3822*v + 30870 = 0? 21, 35 Factor -5*m**5 + 30*m**4 + 80*m**3 - 370*m**2 + 405*m - 140. -5*(m - 7)*(m - 1)**3*(m + 4) Factor -4*d**5 - 8*d**4 + 60*d**3 + 144*d**2. -4*d**2*(d - 4)*(d + 3)**2 Suppose 5*j**3 - 180*j**2 - 380*j = 0. Calculate j. -2, 0, 38 Find d, given that -10*d**5 + 157*d**4/3 - 31*d**3 - 236*d**2/3 + 20*d + 16/3 = 0. -1, -1/6, 2/5, 2, 4 Let 5*h**2/3 - 35*h/3 = 0. Calculate h. 0, 7 Factor -f**2/3 + 1372*f - 1411788. -(f - 2058)**2/3 Factor -4*x**3/3 - 4*x**2/3 + 8*x. -4*x*(x - 2)*(x + 3)/3 Factor -j**4 - 13*j**3 + 5*j**2 + 333*j - 324. -(j - 4)*(j - 1)*(j + 9)**2 What is r in 2*r**4 + 104*r**3 + 662*r**2 + 1464*r + 1080 = 0? -45, -3, -2 Factor -k**2/3 + 106*k/3. -k*(k - 106)/3 Let 8*y**3/23 + 2*y**2/23 = 0. What is y? -1/4, 0 Determine p so that 2*p**5/11 - 222*p**4/11 + 6268*p**3/11 - 5828*p**2/11 - 570*p + 550 = 0. -1, 1, 55 Factor 4*v**5 + 24*v**4 + 12*v**3 - 184*v**2 - 432*v - 288. 4*(v - 3)*(v + 2)**3*(v + 3) Factor -x**4 - 122*x**3 - 4177*x**2 - 27816*x - 51984. -(x + 4)**2*(x + 57)**2 Solve 2*c**4/3 + 112*c**3/3 + 648*c**2 + 8960*c/3 - 26624/3 = 0. -26, -16, 2 Factor 3*i**2/2 - 3066*i + 1566726. 3*(i - 1022)**2/2 Find w such that w**3 - 14*w**2 + 60*w - 72 = 0. 2, 6 Factor -2*d**2/3 - 106*d/3 - 392/3. -2*(d + 4)*(d + 49)/3 Solve 2*n**3/13 - 810*n**2/13 + 1614*n/13 - 62 = 0 for n. 1, 403 Factor k**3/6 - 4*k**2/3 - 31*k/2 + 90. (k - 12)*(k - 5)*(k + 9)/6 Determine p, given that -2*p**5/7 - 120*p**4/7 + 374*p**3/7 - 36*p**2 = 0. -63, 0, 1, 2 Solve -k**5 + 385*k**4 - 37244*k**3 + 35324*k**2 + 148992*k - 147456 = 0 for k. -2, 1, 2, 192 Suppose -2*y**4/3 + 2*y**3/3 + 2*y**2 - 2*y/3 - 4/3 = 0. What is y? -1, 1, 2 Factor -p**2/2 + 229*p + 1383/2. -(p - 461)*(p + 3)/2 Suppose -5*v**3 + 15*v**2 + 405*v + 385 = 0. What is v? -7, -1, 11 What is f in -f**4 + 6*f**3 - 4*f**2 - 6*f + 5 = 0? -1, 1, 5 Determine v, given that -2*v**2/3 + 28*v/3 - 16 = 0. 2, 12 Determine q so that 5*q**2 - 205*q + 570 = 0. 3, 38 Let -5*z**3 - 46*z**2/3 + 36*z + 88/3 = 0. Calculate z. -22/5, -2/3, 2 Determine d, given that d**3 + 112*d**2/3 - 251*d + 390 = 0. -130/3, 3 Solve 4*m**4/3 + 28*m**3/3 + 8*m**2/3 - 112*m/3 - 32 = 0. -6, -2, -1, 2 Let f**2/2 - f - 3/2 = 0. What is f? -1, 3 Factor -4*p**4 - 5*p**3 + 3*p**2 + 5*p + 1. -(p - 1)*(p + 1)**2*(4*p + 1) Determine c so that -16000*c**3 + 21600*c**2 - 9720*c + 1458 = 0. 9/20 Determine u so that -138*u**4 - 22*u**3 = 0. -11/69, 0 Factor 5*l**4/3 - 52*l**3/3 + 21*l**2 + 180*l - 252. (l - 6)**2*(l + 3)*(5*l - 7)/3 Find q such that -4*q**5 + 568*q**4 - 19588*q**3 - 4
{ "pile_set_name": "DM Mathematics" }
30. Determine a(u) + 2*s(u). u + 126 Let a(s) = 47*s**2 + 95*s - 12. Let c(v) = -25*v**2 - 44*v + 6. Determine 6*a(q) + 13*c(q). -43*q**2 - 2*q + 6 Let b(s) = 8*s - 58. Let u(k) = -8*k + 57. What is -3*b(o) - 4*u(o)? 8*o - 54 Let l(o) = -19*o**3 - 5*o**2 + 440*o - 5. Let b(u) = 27*u**3 + 7*u**2 - 661*u + 8. Calculate 5*b(j) + 7*l(j). 2*j**3 - 225*j + 5 Let w(h) = 0*h - h - 9*h + 12. Let f = 14 + 45. Let l(c) = -29*c - 1 + f*c - 29*c. Determine 12*l(g) + w(g). 2*g Let y(w) = 14*w**2. Let i(o) = o**2. Let u = 787 - 797. Give u*i(l) - y(l). -24*l**2 Let q(y) be the first derivative of -y**2/2 + y - 1. Let d = -2751 - -2747. Let n(s) = s - 2. Give d*q(k) - 3*n(k). k + 2 Let k(i) be the third derivative of -3*i**4/4 + 2*i**3/3 + 870*i**2. Let j(d) = 9*d - 2. What is 5*j(m) + 2*k(m)? 9*m - 2 Let t(b) be the first derivative of -b**2/2 + b - 6799. Let h(q) = 7*q**2 + 6*q - 2. What is h(d) + 2*t(d)? 7*d**2 + 4*d Let u(d) = -8*d**3 + 2*d**2 - 2. Let n(x) = 7*x**3 - 2*x**2 + 2 - 27038710*x + 27038710*x. Calculate -6*n(g) - 7*u(g). 14*g**3 - 2*g**2 + 2 Let s(a) = -16208*a - 42. Let j(o) = -75156499*o - 194748. Give -7*j(f) + 32458*s(f). 16229*f Let f(j) = 5*j**3 - 4*j - 3. Suppose -2*h + 22 = -q - 6*h, -3*h = 7*q + 29. Let i(r) = 4*r**3 - 3*r - 3. Calculate q*f(c) + 3*i(c). 2*c**3 - c - 3 Let v(a) = 5*a**3 - 2*a**2 + 6*a. Let h = -271 - -275. Let i(m) = 5*m**3 + 4*m - h*m - 10*m**3 - 7*m + 2*m**2. Give -5*i(f) - 6*v(f). -5*f**3 + 2*f**2 - f Let n(f) be the third derivative of -f**4/24 + 9*f**2. Let a(x) = 3*x - 2. Let i = -235 - -240. Calculate i*n(z) + a(z). -2*z - 2 Let b(m) = 4*m**2 + 65*m + 3. Let k(z) = -2*z**2 - 33*z - 2. What is 4*b(h) + 7*k(h)? 2*h**2 + 29*h - 2 Let f(m) = 11*m**2 + 4*m + 12*m**2 + 15*m**2 - 70*m**2 + 2 + 22*m**2. Let b(y) = -7*y**2 + 3*y + 1. What is -7*b(v) + 5*f(v)? -v**2 - v + 3 Let i(q) = 5*q**2 + 2. Let t(y) = -81*y**2 - 33. Let h be 7/2 + (-154)/28. Let p(c) = 5*c**3 + 3*c**2 - 5. Let o be p(h). What is o*i(u) - 2*t(u)? -3*u**2 Let u(o) = -7858226*o - 3687. Let d(l) = 8523*l + 4. What is -3687*d(w) - 4*u(w)? 8603*w Let k(o) = 8*o - 4. Suppose -13 = x + t, 4 = 2*x - 119*t + 116*t. Let m(f) = -15*f + 9. What is x*k(n) - 4*m(n)? 4*n - 8 Suppose 5*s = 2*j - 22, 64 = 23*j - 19*j - 5*s. Suppose -j*b - b - 44 = 0. Let u(y) = 6*y - 2. Let i(g) = -2*g + 1. Give b*u(r) - 7*i(r). 2*r - 3 Let y(q) = 14*q**2 + 3*q + 3. Let h(p) = 561*p**2 + 119*p + 119. Let o be 156/(-260) - 24/10. Give o*h(f) + 119*y(f). -17*f**2 Let y(r) = -69*r. Let c(q) = 7*q. Let t(d) = 3*d. Let v(i) = -18*c(i) - 4*t(i). Calculate -5*v(b) + 9*y(b). 69*b Let c(t) = -t - 72*t**2 - 73*t**2 - 5*t + 6*t**3 + 231*t**2 - 80*t**2 + 3. Let b(x) = 12*x**3 + 11*x**2 - 11*x + 5. Give -6*b(d) + 11*c(d). -6*d**3 + 3 Let j(r) = -10*r**3 + 3. Suppose 4*v = -3*l - 1 - 4, 5*v + 3*l + 4 = 0. Let y(s) = s**3 + 1. What is v*j(c) - y(c)? -11*c**3 + 2 Let a(u) = 62*u**2 - 992*u + 3. Let l be a(16). Let k(b) = -13*b + 3. Let v(y) = -12*y + 2. What is l*v(p) - 2*k(p)? -10*p Let a(o) = -o**2 + o + 1. Let v(d) = -4 - 53059*d + 25*d**2 + 53049*d + 5 - 11 - 9*d**2. Suppose -3 = 5*q - 23, 2*r + 16 = -q. Calculate r*a(y) - v(y). -6*y**2 Let v(h) be the third derivative of 0 - 62*h**2 - 1/6*h**3 + 0*h + 1/60*h**5 + 0*h**4. Let q(n) = -n**2 + 1. Calculate -4*q(o) - 3*v(o). o**2 - 1 Let d(p) = p**3 + p**2 - p - 1. Let w(y) be the first derivative of -2*y**3 + 4*y**2 + 8*y + 12040. Calculate 8*d(z) + w(z). 8*z**3 + 2*z**2 Suppose 0 = -5*c - 131 + 116. Let w(i) = 5 - 4 - 4 + 6*i + 2*i. Suppose 5*z = 4*z - 4. Let n(s) = -7*s + 2. Determine c*w(l) + z*n(l). 4*l + 1 Let a(p) = -3*p**3 - 12*p - 273. Let w(u) = -7*u**3 - 42*u - 819. What is -7*a(h) + 2*w(h)? 7*h**3 + 273 Let d(f) = -6*f - 1. Let o(g) be the second derivative of -g**5/120 - 31*g**3/6 + g - 8. Let a(h) be the second derivative of o(h). What is -3*a(q) + d(q)? -3*q - 1 Let k(w) be the first derivative of -1/3*w**3 + 11/2*w**2 - 12*w + 70 + 3*w**4. Let b(d) = -d**3 - d + 1. What is -22*b(g) - 2*k(g)? -2*g**3 + 2*g**2 + 2 Let t(x) = x**2 - x - 1. Suppose 9*l - 6*l - 5 = -2*a, -2*a = -5*l + 3. Let p(m) = -7*m**2 + 6*m + 8. Give l*p(i) + 6*t(i). -i**2 + 2 Let p(j) = -2*j + 48. Let y be p(22). Let x(m) = 19*m**2 + 2*m - 2. Let z(n) = 322*n**2 + 35*n - 35. What is y*z(i) - 70*x(i)? -42*i**2 Let u(c) = 4*c - 22. Let l(m) = -15. Let r(i) = -i - 2. Let q(z) = l(z) - 2*r(z). What is -5*q(b) + 2*u(b)? -2*b + 11 Let v(w) = 65*w**2 - w - 625. Let g(h) = 49*h**2 - 2*h - 624. Determine 4*g(y) - 3*v(y). y**2 - 5*y - 621 Let k(j) = -7*j**3 - 2*j**2 + j - 6. Let w(c) = -6*c**3 - 2*c**2 + 2*c - 5. Give -4*k(i) + 5*w(i). -2*i**3 - 2*i**2 + 6*i - 1 Let f(q) = q. Let a(p) be the second derivative of -2*p**3/3 - p**2/2 + 4884*p. Suppose -d - 2 = -1. Determine d*a(l) - 6*f(l). -2*l + 1 Let u(a) = a. Let n(c) = 2*c - 1033*c**2 + 2081*c**2 - 1 - 1047*c**2. Determine -n(l) - u(l). -l**2 - 3*l + 1 Let x(y) = 102*y + 3. Let g(f) = 511*f + 16. Calculate -2*g(o) + 11*x(o). 100*o + 1 Let p(k) = 153*k + 4. Let g(b) = 152*b + 4. Determine -4*g(c) + 3*p(c). -149*c - 4 Let s(m) = -m**3 - 2. Let t(b) = 1. Let y(f) = 2*f + 4. Let h be y(0). Suppose 77 = -h*i + 73. Let w(g) = 5. Let r(z) = i*w(z) + 4*t(z). Give 5*r(u) - s(u). u**3 - 3 Suppose -r - 4 = -j, -2*r = -5*j + 4 + 16. Let g(l) = -l**3 + l - 1. Let w(h) = -h**3 + 4*h - 2. Calculate j*g(t) - w(t). -3*t**3 - 2 Suppose -7*p + 5*p + 3*m + 7 = 0, 5*p + 10 = 2*m. Let l(g) = 32*g + 34*g - 6 - 83*g + 22*g + 1. Let n(z) = 9*z - 9. Calculate p*n(f) + 7*l(f). -f + 1 Let x(y) = y - 3. Let z(h) = -3*h + 9. Suppose 44 = 12*p + 12 - 16. Determine p*z(f) + 11*x(f). -f + 3 Let u(j) = -11*j**3 - 3*j**2 - 3. Let l be (0 + 2)*75/(-50). Let x(m) = 44*m**3 + 11*m**2 + 11. What is l*x(o) - 11*u(o)? -11*o**3 Let k(g) = -2015*g + 5. Let j(n) = -338*n + 1. What is 25*j(s) - 4*k(s)? -390*s + 5 Let t(a) = 21*a**2 - 10*a - 42. Let q(i) = 108*i**2 - 52*i - 211. Give -2*q(b) + 11*t(b). 15*b**2 - 6*b - 40 Let r(b) = 7*b - 257. Let k(a) = -9*a + 254. Give 4*k(p) + 5*r(p). -p - 269 Let z(t) = -1 - 177*t + 486*t - 132*t - 142*t. Let q(y) = -176*y + 5. Give -2*q(n) - 11*z(n). -33*n + 1 Let h(o) = 2378*o - 54. Let z(k) = 2*k - 6. Determine -2*h(t) + 18*z(t). -4720*t Let z(m) = -19771683*m - 268719. Let n(o) = -22519*o - 306. What is 5269*n(d) - 6*z(d)? -22513*d Let n(t) = -24*t + 5. Let a(y) = 1. What is -2*a(r) + n(r)? -24*r + 3 Let z(i) = -1. Let c(w) be the second derivative of -w**3/6 - 8416*w + 1. Let g(d) = -d - 4. Let a be g(-7). Calculate a*c(k) + z(k). -3*k - 1 Let b(y) = -2*y - 7. Let k(o) = o**2 - 3*o - 8. Let j = -37202 - -37206. What is j*b(q) - 3*k(q)? -3*q**2 + q - 4 Let f(v) = 2*v**3 - 13*v**2 + 354*v - 2. Let k(u) = 8*u**3 - 46*u**2 + 1420*u - 7. Calculate 11*f(p) - 3*k(p). -2*p**3 - 5*p**2 - 366*p - 1 Let f(d) = -84*d - 10. Let p(i) = -16*i - 2. Let y(t) = -2*f(t) + 11*p(t). Let q(r) = 4*r + 1. What is 7*q(x) + 3*y(x)? 4*x + 1 Let l(f) = -8*f - 271. Let z(g) = 25*g + 773. Let h(x) = -17*l(x) - 6*z(x). Let r(p) = 5*p + 10. Give 4*h(d) + 11*r(d). -d - 14 Let k(f) = -4028*f**3 - 7*f**2 + 7*f + 7. Let r(y) = 12089*y**3 + 22*y**2 - 22*y - 22. What is 22*k(x) + 7*r(x)? -3993*x**3 Let q(r) = 3*r**3 + 9*r**2 + 10*r + 9. Let x(b) = 3*b**3 + 3*b**2 - b - 1. Let n(h) = h**3 + h**2. Let t(g) = 4*n(g) - x(g). Calculate 2*q(i) - 18*t(i). -12*i**3 + 2*i Let l(c) = -11*c - 25. Let n(x) = 4*x + 9. Let b(f) = 3*l(f) + 8*n(f). Let w(s) = 2*s - 1 - 2 + 7. Suppose 0 = -69*i + 16 + 260. Give i*b(q) + 3*w(q). 2*q Let f(v) = -5*v**2 + 5*v - 1. Let p(k) = 9*k**2 - 11*k + 2. Let j = -3134 - -3137. Determine j*p(a) + 5*f(a). 2*a**2 - 8*a + 1 Let p(z) = -6*z**3 - 47*z**2 + 2*z - 2. Let w(s) = -44*s**3 - 326*s**2 + 15*s - 15. Determine -15*p(u) + 2*w(u). 2*u**3 + 53*u**2 Let h = -11057 + 11060. Let g(x) be the third derivative of 16*x**2 + 0 + 0*x - 3/8*x**4 + 7/6*x**h. Let u(d) = 4*d - 3. Determine 2*g(a) + 5*u(a). 2*a - 1 Let h(l) = -2*l + 17. Let n = 916 - 905. Let k be ((-12)/(-14))/(21/98). Let t(b) be the second derivative of b**3/6 - 3*b**2 + 8*b. Calculate k*h(w) + n*t(w). 3*w + 2 Let t(n) = -13*n**3 - 6*n + 6. Let l = 43 - 38. Let k = -78 + 71. Let c(v) = -9*v**3 - 4*v + 4. What is k*c(i) + l*t(i)? -2*i**3 - 2*i + 2 Let i(q) = -q + 2. Let z(t) = 2*t - 5.
{ "pile_set_name": "DM Mathematics" }
d (-5*l**2 - 6*l**4 + 5*l**2 - l**2 + l**4 + l**2 + (l - l - 2*l)*(5*l**3 - 6*l**3 - l**3))*(-3 + 3 + 5*l)*(-1 - 1 + 0 + (0 - 3 - 2)*(2 - 5 + 1)). -40*l**5 Expand 14*f**3 + 78 - 78 + 3*f**3 + 2*f**3 - 3*f**3 + 4*f + 2*f**3 - 4*f + (-2*f**2 - 2 + 2)*(-f + 2*f + f) - 1 + 1 - 2*f**3. 12*f**3 Expand (0 - 3*g + 0)*(-7*g**3 + 8*g - 8*g) + 4*g**4 - 5*g**2 + 5*g**2 + 5*g**3 + 2*g**4 - 5*g**3 + (-g**3 - 2*g**3 + 2*g**3)*(g + 0*g - 3*g). 29*g**4 Expand ((2 - 2 - r)*(2 - 3 - 3) + 2*r - 1 + 1 + 4*r - 2*r + r - 2)*(-2 + 1 + 3) + (-2 + 0 + 0)*(r + r + 0*r). 14*r - 4 Expand (592*j - 316*j + 184*j)*(-5*j + 5*j + 2*j**4). 920*j**5 Expand 3*a**5 + 0*a**5 - 2*a**5 + (a**4 + 3*a**3 - 3*a**3)*(-3*a + 0*a + 5*a) + 6*a - 4*a**5 - 6*a + 37*a**5 + 48*a**5 - 11*a**5 + 28*a**5 - 18*a**5. 83*a**5 Expand (1 - 1 - c**2)*(-2 + 2 - c**2) - c**3 + 2*c**4 + c**3 - 61*c + 100*c - 27*c + 63*c**4. 66*c**4 + 12*c Expand (0 + 0 - 1 + 3 - 1 + 4 + 2 - 4 + 3 + (2 + 2 - 6)*(1 - 4 + 2) + (-4 + 2 + 0)*(-6 + 0 + 4))*(-s**2 - 3*s**2 + 2*s**2). -24*s**2 Expand (-i - 6 + 6)*(-3*i**2 - 10*i**2 + 4*i**2) + (1 - 6 + 4)*(-2*i**3 + i**3 - i**3) + 4*i**3 - 5*i**3 + 0*i**3 + 0*i**3 + 5*i**3 - 2*i**3. 13*i**3 Expand (-3*p + 4*p + 0*p + (1 + 3 - 3)*(p - 2*p + 2*p) + 0*p + 3*p - p + p - 2*p + 2*p)*(3*p - 1 + 1) - 122*p**2 + 118*p**2 + 162*p**2. 173*p**2 Expand (-5*m - 2*m + 5*m)*(m + 0*m - 2 + 0) + 3*m**2 - 8*m**2 + m**2. -6*m**2 + 4*m Expand 0*x + 5*x**3 + 0*x + (0*x**3 - 4*x**3 + 3*x**3)*(2 + 1 - 2) + 3*x**3 - 5*x**3 + x**3 - 3*x**3 + 5 - 5 + (-4*x + 0*x + x)*(-4*x**2 + 3*x**2 - x**2). 6*x**3 Expand (-1 + 1 - 2)*(-q**2 + 2*q**2 - 2*q**2) - 170*q**2 + 48*q**2 - 227*q**2. -347*q**2 Expand (15*j**2 - 15*j**2 - 769*j**3 + 4224*j**3 + 0*j**2)*(-j + 2*j - 3*j). -6910*j**4 Expand (4*j**3 - j**3 - 2*j**3)*(-1 + 2 + 0) + 385*j - 2*j**3 + 18 - 385*j + 2*j**2. -j**3 + 2*j**2 + 18 Expand (3*c**3 + c**3 - 7*c**3 + (2*c**2 - 2*c**2 + c**2)*(c - 3 + 3) - 2*c**3 - 2*c**3 + 6*c**3 - 3*c**3 - 2*c**3 + 4*c**3)*(3*c + 5 + 6*c - 8*c). -c**4 - 5*c**3 Expand (42*r**2 + 54*r**2 - r**2)*(3 + 5*r - 3 + (-r + r + r)*(-2 - 4 + 4) - 4 - 2*r + 4). 95*r**3 Expand (-2*u + 5*u - 5*u)*(0 + 0 - 30*u**2) - 2*u**3 + u**3 + 3*u**3. 62*u**3 Expand (-4*t - t + 6*t)*(4 - 691*t + 657*t - 2). -34*t**2 + 2*t Expand (1 - 2*s - 1)*(-2*s + 3 - 3)*(-11*s + 10*s + 8*s). 28*s**3 Expand (-5 - 1 + 4)*(0*y**2 - 3*y**3 + 0*y**2) + 96*y**3 - 50*y**3 - 48*y**3 + 17*y. 4*y**3 + 17*y Expand (817*s - 2816*s + 975*s + 543*s)*(-2 + 2 + s). -481*s**2 Expand (-6*a + 3*a**4 + 6*a)*(2*a - 5*a + a) - 14*a**5 - 4*a**5 - 5*a**5 - 3*a**5 - 2 + 2. -32*a**5 Expand -9*d**5 + 0*d**3 + 0*d**3 + (32 + 8*d**2 - 32)*(0*d**3 + 0*d**3 + d**3). -d**5 Expand (-37 + 21 - 2*q + 26)*(2*q + 0 + 0)*(302*q + 1 - 299*q + 9). -12*q**3 + 20*q**2 + 200*q Expand (-29 - 28 - 9)*(2 - 13 + 4 + 2*t). -132*t + 462 Expand (7*l + 10*l + 12*l)*(-2*l - 2 + l + 3)*(2*l**2 + 0*l**2 + 0*l**2)*(-2*l + l + 2*l). -58*l**5 + 58*l**4 Expand (2 - 2 + 3*n)*(n**4 - 5*n**4 + 3*n**4 + (0*n - 3*n + 4*n)*(-2 - 2*n**3 + 2) + 2*n**4 + n**4 - 5*n**4 + 0 + 0 - 2*n**4 - 4*n**4 + 3*n**3 - 3*n**3). -33*n**5 Expand (4 - 6 + 0)*(-327 + k + 327). -2*k Expand 5 + 5*b**4 - 5 + (-b + 4 - 4)*(b - b + 2*b**2)*(28517 + 252*b - 28517). -499*b**4 Expand (1 - 1 - h**3 + (-2 + 4 + 0)*(h**3 + 0*h**3 + h**3))*(-28508 - 351*h + 28508). -1053*h**4 Expand ((c**2 - c**2 - 4*c**2)*(1 + 3 - 2) + 2*c - c**2 - 2*c)*(-1 + c + 1)*(-2 + 0 + 1). 9*c**3 Expand (-3*z + 0*z + 0*z)*(21 + 66*z**4 - 21) - 2*z**3 + 2*z**5 + 2*z**3. -196*z**5 Expand ((-2*s**2 - 2*s**2 + 30*s**2)*(-2*s + 0 + 0)*(2 + 0 - 3) + (5*s**2 - 4*s**2 - 3*s**2)*(-4 + 4 - s) + 0 + s**3 + 0)*(7 - 7 + 3*s**2). 165*s**5 Expand (k + 4*k + 3*k)*(1 + 0 + 0)*(2 + 5 - 3). 32*k Expand -4*m**2 - 12*m**2 + 4*m**2 + (0*m + m + 2*m)*(-m - m + 0*m). -18*m**2 Expand (q**2 - 4*q**2 + 2*q**2)*(2*q**3 + 9407*q - 9268*q - 5 + 2). -2*q**5 - 139*q**3 + 3*q**2 Expand (63*t + 37*t - 34*t)*(0*t + 7*t - t + (2*t - 3*t + 0*t)*(1 - 1 - 1) + 4*t - t - t + 4 + 3*t - 4). 792*t**2 Expand 7*k**3 - 7*k**3 + 3*k**4 + (-2*k**3 + 4*k**3 + 3*k**3)*(k + 5*k - 5*k) + 0*k**4 + 4*k**4 - 5*k**4 + 2*k**4 + 0*k**4 - 4*k**4. 5*k**4 Expand (-5 + t**5 + 5)*(2 + 1 - 1) + 9*t**5 - 8*t**5 - 6*t**5 + (1 + 0 + 5)*(-t**3 - 4*t**3 + 3*t**3)*(t**2 + t**2 - 6*t**2). 45*t**5 Expand (4*k**2 - k**2 - 2*k**2)*(2 + 62*k - 2 - 180*k). -118*k**3 Expand (3 + r - 3)*(472 - 8*r**2 + 110*r**2 - 472). 102*r**3 Expand 5*b**5 - 4*b**5 + 0*b**5 + (-b**2 + 2*b**2 + 0*b**2)*(-b**3 + 2*b**3 + b**3) + 14*b**4 + 21*b**5 - 16*b**4 - 22*b**5 + 5. 2*b**5 - 2*b**4 + 5 Expand (2 - 2 - 2*g)*(-4 + 3 + 0)*(627 - 846 + 833). 1228*g Expand (10*v**4 + 34*v - 34*v)*(-2*v + v + 4*v). 30*v**5 Expand -6*u**4 + 6*u**4 + 5*u**5 + (29*u**3 - 75 + 75)*(4*u - 4*u + 2*u**2). 63*u**5 Expand (392 - 13*x**2 - 393 - 10*x**2)*(0*x**2 + x**2 + 0*x**2) - 11*x**4 + 6*x**4 - 8*x**4. -36*x**4 - x**2 Expand (-55*i - 6706 + 6706)*(0 + 2 + 1). -165*i Expand (i + 3 - 3)*(1 - i - 1)*(-56 - 56 - 5) + i**2 + 0*i**2 - 4*i**2. 114*i**2 Expand -2*f**5 - f**5 - f**5 - f**3 + 5*f**5 + f**3 - 2*f**5 + 4*f**5 - f**5 + 3 - 3 + 2*f**5 + (2 - 2 + 1)*(1 + f**5 - 1). 5*f**5 Expand 44 - 44 + 65*n**3 + (0 - n - n + 1)*(-3*n + n**2 + 3*n). 63*n**3 + n**2 Expand -5*w**2 + 3*w**2 + w**2 + (-3*w - 7*w + 4*w)*(3*w + 0*w - w) + 5*w**2 - 3*w**2 - w**2. -12*w**2 Expand (342 + 310 - 490)*(0*t + 4*t - 3*t). 162*t Expand (d + 7*d + 3*d)*(0*d + d + 0*d)*(-16*d + d - 7*d). -242*d**3 Expand ((1 - 1 + v**2)*(-40 + 5*v + 40) + 0*v**3 - v**3 + 2*v**3)*(-v**2 - v**2 + 4*v**2) + 2*v**5 - v**5 + 5*v**5 - 2*v**3 + 2*v**3 - 2*v**5. 16*v**5 Expand 2*d**4 + 3*d**4 + 5*d**4 + (3*d**3 - 3*d**3 - d**4)*(2 - 1 + 0)*(-1 + 1 - 2). 12*d**4 Expand (-84 - 47 + 38)*(-5*w + 4*w + 0*w). 93*w Expand (4*w**2 - w**2 - 2*w**2)*(-286 + 390 - 292). -188*w**2 Expand (-3 - 3 + 4)*(1 + n - 1)*(-1 - 1 + 0 + (0 - 2 + 1)*(4 - 2 - 1) - 1 - 7 - 1 - 1 + 2 + 1). 20*n Expand (-2*r - 2*r + 2*r)*(-2*r**2 + 0*r**2 + 3*r**2) - 2*r**3 + 4*r**2 - 4*r**2 - 5*r**3 + 2*r**3 + 0*r**3 + (2*r + 2*r**3 - 2*r)*(5 - 16 - 7). -43*r**3 Expand (-2*g - g + g)*(-52*g + 115*g + 281*g). -688*g**2 Expand (-28 + 7 - 5)*(-6*j**3 + 4*j**3 + 3*j**3)*(-j + 4*j - 2*j + 4). -26*j**4 - 104*j**3 Expand (-17*f - 9*f + 4*f)*(4 - 1 - 2). -22*f Expand -5 + 5 + 9*j + (-j + 3*j - j)*(-2 + 5 - 1) + (2 - 2 - 2)*(9*j + 26 - 26). -7*j Expand (-2*r**3 + 4*r**3 + r**3)*(211 - 635 - 76 + 152 - 803). -3453*r**3 Expand (-4 + o + 4)*(4 - 4 - 4*o) + 2*o**2 + 4*o**2 - 4*o**2 + o**2 + 3*o + 0*o - o. -o**2 + 2*o Expand (-1 + 1 + 2)*(-2*h - 2*h + 6*h) + (1 + 6 - 5)*(18*h + 43*h - 99*h). -72*h Expand (-g**3 + g**3 + 2*g**3)*(7 - 3 - 19)*(-1 - 1 - 2). 120*g**3 Expand s**5 - 4*s**5 - 3*s**5 + ((-2 - 1 + 1)*(-s + s - s**2) - 5*s**2 + 0*s**2 + 4*s**2)*(8*s**2 + 2*s**2 - 12*s**2 + 7*s**3). s**5 - 2*s**4 Expand (2*v + 3*v - 6*v)*(1 + 6 - 3 + (7 + 4 + 1)*(3 - 5 + 4)). -28*v Expand -2*j + 2*j + 2*j + ((-2*j + 2*j - j)*(-3 + 3 + 4) - 2*j + j + 2*j)*(37 + 39 - 67). -25*j Expand 0 + 0 + 2*j**2 + 11*j**2 - 5*j**2 - 4*j**2 + (-5*j + 0*j + 0*j)*(1 - 1 + 2*j). -6*j**2 Expand -5*p**5 + p**5 + 3*p**5 + (p - p + p)*(-104*p**2 + 104*p**2 - 16*p**4) + (p**4 + 2*p**5 - p**4)*(1 + 0 + 0) + p**5 + 9*p**5 - 6*p**5. -11*p**5 Expand 10*a**2 - 38*a**2 + 2*a**2 + 4*a**2 - 2*a**2 - a**2 - 4*a**2 + a**2 + 2*a**2 + (-2*a + 4 - 4)*(4*a - 4*a + 2*a) + 0*a**2 - 4*a**2 + a**2. -33*a**2 Expand h - h - 2*h**2 + (2*h - 3*h - h)*(-h - 4*h + 3*h) + (3*h - 2*h + h)*(-3 + 3*h + 3) - 2*h + 4*h**2 + 2*h. 12*h**2 Expand (-127*u**2 + 8*u**2 - 164*u**2)*(4*u - u - 2*u + 2). -283*u**3 - 566*u**2 Expand -u - 2*u + 2*u + (-u + 0*u + 3*u)*(8 + 6 + 0 + 7 - 4 - 4 + 6 - 1 - 3 + (1 - 6 + 3)*(-5 + 3 + 3)). 25*u Expand 4*i**2 - 30*i + 30*i + (-i - 2*i + i)*(3*i - i + i). -2*i**2 Expand (-204*q - 46*q - 43*q)*(0 - 1 + 2) + 0*q + q + q. -291*q Expand (1 - 6 + 2)*(0 + 0 - 2)*(-4 + 5 - 6)*(7*p**4 - 2*p**4 - 3*p**4). -60*p**4 Expand (5 - 1 - 2)*(-3*j**2 + 5*j**2 - 4*j**2 + j**2 - j**2 + j**2 + (j - 2*j + 3*j)*(3*j - 6 + 6) - 2*j**2 - 5 + 5) + (0 + 0 - j)*(3*j - 5*j + 0*j). 8*j**2 Expand -3*s**4 + 3*s**4 - 4*s**4 + (7*s**2 + 3*s**2 - 7*s**2)*(-6*s**2 - 55*s + 55*s). -22*s**4 Expand (-2 + 5 + 1 + 3 - 2 - 3 - 1 - 4 + 7 + (-5 + 2 + 2)*(-4 + 0 + 3))*(2*v - v + 2*v) - 3*v +
{ "pile_set_name": "DM Mathematics" }
+ 34 for n. -3 Let u(v) = 0*v - 2*v - v**2 - 4*v - 7. Let p be -3 - (4 - (1 + 3)). Let n be u(p). Solve n*y + 0 + 4 = 0 for y. -2 Let s(d) = -2*d**3 + 13*d**2 + 7*d + 2. Suppose 32 - 92 = -5*w - 5*r, -5 = -r. Let n be s(w). Solve 3 = -n*q + 9 for q. 3 Let m = -289 + 293. Let n(b) = -b**3 + 2*b**2 + 3*b + 1. Let p be n(3). Solve m = h - p for h. 5 Suppose -4*r = 5*z - 14, 7*r = -z - 0*r - 22. Suppose -37 = -4*x - 1. Solve -3*f = -z - x for f. 5 Suppose -5*r = 4*z - 205, 5*r - 220 = -20*z + 19*z. Solve 14*f - r = 5*f for f. 5 Suppose -2*l - 2*l + 12 = 0. Let p be 3/7 - l/7. Solve -16 = 4*k - p for k. -4 Let o be ((-132)/(-220))/((-6)/(-20)). Solve -o*n - 8 = -2 for n. -3 Suppose -8*c - 12 + 52 = 0. Solve 0 = c*b - 5 - 10 for b. 3 Suppose 0 = 5*d + 2*j - 41, 0*d = -4*d - 2*j + 34. Solve -2*x - 10 = -d*x for x. 2 Let o = -424 - -426. Solve -o = 2*a - 12 for a. 5 Let l(c) = -8*c + 0 + 0 - 34*c**2 + 32*c**2. Let r be l(-4). Solve 4*k + r*k = -4 for k. -1 Suppose -3*g - n = -8, -4*g - 5*n - 1 + 8 = 0. Let c(o) = o + 5. Let k be c(-14). Let z be k/3 + -2 + 10. Solve z*j - 6 = g*j for j. 3 Suppose 10 = -2*q - h, 1 = 3*q - 2*h + 2. Let r(t) = t + 7. Let p be r(q). Solve p = -2*x - 0*x for x. -2 Let a be (-2)/8 - (-1586)/104. Let z be (5/a*0)/((-2)/1). Solve -3*h + 2*h + 1 = z for h. 1 Let g(x) = -x**3 + 8*x**2 + 11*x + 21. Let z be g(9). Let q = 40 - z. Solve 0 = t + q + 4 for t. -5 Let q(d) = 3*d**2 - d. Let h be q(1). Suppose h*w - 1 = 7, 4*f - 5*w = 0. Solve 3*a - f = 10 for a. 5 Suppose f = 3*i + 12 + 7, -i = 4. Suppose 5 + f = -3*c. Let r = 6 + c. Solve -2*l - 12 = r*l for l. -3 Suppose 0 = -3*u - 4*z + 205, 3*z + 62 = u - 2*z. Let w = -64 + u. Solve -3*x = -w - 0 for x. 1 Suppose 2*q = -2*w - 4, 2*w + 20 = -0*w + 2*q. Let n(g) = -g - 2. Let s be n(w). Solve -r + s*r = -3 for r. -1 Suppose 4*h - 46 - 22 = 0. Suppose 4*m = 20, -2*k - 3*m + h = -4. Solve k*j - j = 10 for j. 5 Let d(w) = -w**3 + w - 2. Let k be d(-2). Solve -9*c + k*c + 20 = 0 for c. 4 Let i be -3*(-118)/12*-2. Let j = 71 + i. Solve -5*a + 2*a = j for a. -4 Suppose -2*m = 2*a - 18, 2*m - 3 = 2*a - 1. Suppose 2*y = -0*y, m*y = -s + 5. Suppose 0 = -2*w - s*g, 0*w + 4*g = -5*w. Solve w*i - 2 = i for i. -2 Suppose 64 = -h + 9*h. Suppose -4*p = -5*y - 37, -p + 0*p + 2*y + 7 = 0. Let k = p - h. Solve -k*v = -1 + 11 for v. -2 Let s be 2 + 1 + -5 + 6. Suppose -5*z + s*z = 2*c - 12, c - 15 = -5*z. Solve -2*u + 8 = -z for u. 5 Let a(q) = 6*q + 101. Let f(z) = z + 20. Suppose -4*b + 8 = -4*p, p + 5*b = -4 + 2. Let m(v) = p*a(v) + 11*f(v). Let o be m(13). Solve -o - 5 = 5*w for w. -2 Suppose -2*p = -4, 2*p - 4 = 3*w - 2*w. Let m = -17 + 20. Solve a - m*a + 8 = w for a. 4 Let c = 188 + -66. Suppose c*h = 126*h. Solve -2*s - 2*s + 8 = h for s. 2 Let j(x) = x**3 + 23*x**2 - 2*x - 19. Let f be j(-23). Solve -f = -6*c + 3 for c. 5 Suppose 4*r - 100 = -4*z, 2*r - 4*z - 13 = 7. Let q be 30/r*(-8)/6. Let y(k) = -k**2 - 5*k - 2. Let g be y(q). Solve -2*c = -g - 6 for c. 5 Let a be 6/(-9) - 65/(-3). Suppose 5*k + 18 = -q + k, 3*q - a = 3*k. Suppose 0 = -4*z - 4*n - 0*n - 4, -z + q*n + 2 = 0. Solve y - 5 = -z*y for y. 5 Suppose 0 = 2*z + z - 15. Suppose b = -z*b + 18. Solve 0 = -b*t + 6*t - 6 for t. 2 Suppose 0 = -3*r + c + 12, 3*c = 3*r + 4*c - 6. Suppose 6*o - 2*a = 5*o + 8, -r*a - 12 = -4*o. Solve -2*y + o*y = 8 for y. -4 Suppose 0 = 6*f - 19 + 1. Suppose f*v = 5*j + 11, 2*j = -5*v - 0*v + 8. Solve 13 = -5*q - v for q. -3 Let i = 24 + -22. Suppose -i*c = 2 + 2. Let k be 1 + c - -3 - -18. Solve -k = 5*t - t for t. -5 Suppose -5*c - 2*v = -v + 39, 3*v + 40 = -4*c. Let f(t) = -t**3 - 8*t**2 - 7*t + 5. Let l be f(c). Let s = l - 1. Solve d - s = -d for d. 2 Let m(z) = 2*z - 10. Let y be m(6). Suppose -7*i = -y*i - 40. Let v be (-3 + 3)/(-3) - -1. Solve -3*j = v + i for j. -3 Let d(x) = -7*x**2 + 27*x + 4. Let q be d(4). Solve -f + 3 - 4 = q for f. -1 Let t = 154 - 103. Let l be (-13)/(-4) + t/68. Solve l + 1 = -u for u. -5 Let p(h) = 16*h + 19. Let z be p(-5). Let c = z + 61. Solve -5*n = -c*n for n. 0 Let t(n) = -n**3 - 5*n**2 + 6*n + 4. Let p be t(-6). Suppose -2*i = -p*i. Let v be 6/(-12)*i/1. Solve v*o = o + 4 for o. -4 Suppose x = -3 - 20. Let y = 35 + x. Solve n = -3*n + y for n. 3 Let a(j) = j**3 + 5*j**2 - 2*j - 2. Let h be a(-3). Suppose 6 = 2*v - h. Solve 0 = 3*s - v + 2 for s. 4 Let s be (-3 + 2 + 5)*(-2 + 16). Suppose 16*n - s = -24. Suppose 21 + 9 = 5*o. Solve 0 = -n*q - 0*q + o for q. 3 Let d(m) = 6*m**2 - 59*m - 1. Let p be d(10). Solve -31 = -8*r + p for r. 5 Let w(p) = p + 4. Let h be w(20). Let d = 39 - h. Solve -6*c - d = -c for c. -3 Let f(j) = -j**3 - 10*j**2 - 13*j - 4. Let p be f(-9). Let o be (1 + 2)*(-20)/(-3). Suppose -3*c - o = -5*c + 4*s, -5*c + 4*s + p = 0. Solve -v = c*v for v. 0 Let x(d) = -d**3 - 4*d**2 - d - 4. Let f be x(-4). Let u be (1 + 6/(-4))/((-458)/2748). Solve f = n - u*n - 4 for n. -2 Let z(w) = w**3 - 8*w**2 + 16*w - 5. Let x be z(5). Solve 2*c - 3*c - 5 = x for c. -5 Suppose -4*x - 4*w - 64 = 0, 12 + 8 = -2*x + w. Suppose -11 = -2*l + v, -2*l + 5*v + 20 = v. Let a be l/x*-3 + 3. Solve a*o + 2 = 3*o for o. -2 Let x be 1 - -10*2/5. Solve -p + 20 = -x*p for p. -5 Let k(d) = 6*d - 4. Let j be k(1). Solve j*o - o = -5 for o. -5 Let t(a) = a + 10. Let c be t(-10). Let b(l) = 2*l + 125. Let k be b(-61). Solve -7*w + k*w + 16 = c for w. 4 Let t be (-9)/15 - (-129)/15. Let p be 11/11*t/2. Suppose 0 = p*f + 2*f. Solve 4*w - 2 + 6 = f for w. -1 Let v be (-1)/((6/10)/(-3)). Let h = 9 - v. Suppose 4*u + 0*u - 20 = h*d, -3*d - 5 = -2*u. Solve -3*o - 2*o - u = 0 for o. -2 Let h(p) = -p**3 - 17*p**2 + 18*p + 5. Let w be h(-18). Suppose -6*c = -r - w*c + 17, 3*r = -2*c + 66. Solve -r = u - 6*u for u. 4 Suppose 2*a + 2*s - 1 + 9 = 0, 0 = 3*a - 3*s + 18. Let x be 8 - ((2 - 1) + a). Solve f + x = -2*f for f. -4 Let w(k) = -k**3 - 10*k**2 - 26*k - 30. Let i(q) = -q**3 + q**2. Let b(p) = 2*i(p) - w(p). Let s be b(14). Solve -s*n + 3*n = 0 for n. 0 Let g = 68 + -120. Let d = g - -53. Solve 0 = -5*b + 4*b - d for b. -1 Suppose x + 153 = 3*y, 0*y - 3*y - 4*x + 153 = 0. Let g = y - 46. Solve 1 = g*j - 4 for j. 1 Let n be (-9)/(-1) - (1 + -1). Let g be ((-4 - 26)/(-6))/(1 - 0). Solve 0 = g*y - 2*y + n for y. -3 Let c = 189 + -139. Solve 0 = -10*z + 20*z - c for z. 5 Suppose -19*k + 22*k = 9. Suppose k*i + 2*c + 2*c = 0, 0 = -2*i + 3*c. Suppose 6*f + 8 = j + 4*f, j - 3*f - 11 = i. Solve -j*v - 3 = -5*v for v. 1 Let h be (2 - 1)*-1 + 3. Let m(k) be the second derivative of -k**4/12 - 4*k**3/3 - 2*k**2 - 3*k. Let l be m(-7). Solve -h*n = -5*n + l for n. 1 Let v(i) = -2*i**2 + 20*i + 24. Let c be v(11). Solve 0 = c*l + 6 + 4 for l. -5 Let s(v) = 4*v**2 - 48*v. Let f be s(12). Solve -15 = -3*x - f for x. 5 Let y(j) = -16*j + 60. Let h be y(3). Solve -2*s = -6*s - h for s. -3 Suppose 6*t - 8*t = 0. Suppose -8 = -2*u - c, 7*c - 2*c - 10 = 5*u. Solve 2 = -u*d - t for d. -1 Let n = -44 + 50. Solve -n*h = 11 + 7 for h. -3 Let s(k) = -k**2 + 7*k + 17. Let h be s(8). Let y(r) = -r**2 + 12*r - 18. Let m be y(h). Suppose m = 4*o + 1. Solve f + o = -f for f. -1 Let f = -2161 + 2167. Solve 0*c = -f*c - 18 for c. -3 Let y(x) = x**3 + 5*x**2 + 2. Let s be y(-5). Solve -s*o = -5*o + 9 for o. 3 Suppose -4*t = c - 2 - 3, 4*c = 4*t - 20. Let z = 4 + t. Solve 4 = -2*q + z*q for q. 1 Suppose -3*d + 11 = 3*n - 7, d - 3*n = -6. Suppose 2 = -z + d*z. Solve 1 = r - z for r. 2 Let k be (4 + 1)/5 - -2. Solve 0 = -4*n - k*n - 35 for n. -5 Suppose -2*i + 62 = 3*i - n, i - 16 = -n. Suppose 0 = 2*b + 3 - i. Solve -x + 12 = -b*x for x. -3 Let q(s) be the third derivative of -7*s**4/24 - 3*s**3 + 24*s**2. Let j be q(-3). Let i be ((-5)/4)/(1/(-4)). Solve 0 = j*u - 7 - i for u. 4 Let c(t) = -t**3 + 11*t**2 + 6*t + 8. Let l(q) = q**2 + q + 1. Let i(x) = c(x) - 6*l(x). Let o be i(5). Solve -5*r + o + 13 = 0 for r. 3 Let z = 40 - 43. Let g be (3 + -3)/(4 + z). Suppose 2 = k + i - 1, 9 = 3*k + 2*i. Solve -2*t + k + 3 = g for t. 3 Let n be ((20/12)/(-5))/(9/(-297)). Solve 8*m - 3 = n*m for m. -1 Let v(n) = -2*n**2 + 3*n - 6. Let a be v(4). Let j = -24 - a. Solve j*x + 1 = -5 for x. -3 Let o = 74 - 69. Solve -o*p - 7 = 18 for p. -5 Let h(j) = 5*j**3 - 2*j**2 - 3*j + 2. Let t be h(2). Suppose -4*c + 32 = -t. Solve -5*m = 10 + c
{ "pile_set_name": "DM Mathematics" }
= -3*y - 41 - 23, -4*y - 120 = -4*v. List the prime factors of v. 2, 13 Let d be 6/(-9) + (-4)/12. Let x = d - -6. List the prime factors of x. 5 Suppose 4*t + 9*j - 1483 = 4*j, 5*j - 1860 = -5*t. List the prime factors of t. 13, 29 Let y(s) = -s**2 - s + 4. Let k(r) = -r + 1. Let w(b) = -3*k(b) - y(b). Let h = -11 + 5. What are the prime factors of w(h)? 5 Let w(o) = 5*o - 9. List the prime factors of w(8). 31 Suppose 7*w - 3*w = 20. Suppose 5*t = 5*n - 225, n - 151 = -2*n - w*t. List the prime factors of 2/7 - n/(-7). 7 Suppose 0 = -2*p - 3*k + 128, 2*p - 3*k = 104. Suppose 4*f - p = -c - 4*c, 2*c = -3*f + 19. What are the prime factors of c? 2, 7 Suppose -3*s = s - 664. What are the prime factors of s? 2, 83 Let v = 279 - 185. List the prime factors of v. 2, 47 Let w be -1*3 + 0/2. Let v be (26/6)/(w/(-9)). Suppose -31 - v = -4*s. List the prime factors of s. 11 List the prime factors of 24*-10*(-1)/8. 2, 3, 5 Suppose w - 2*w = -57. What are the prime factors of w? 3, 19 Suppose g - 113 = 16. Suppose -2*r = -5*r + g. What are the prime factors of r? 43 Let a be (-4)/(-12) - 22/(-6). Suppose a*h - 14 = -2*w, -6 = 4*w - 5*h - 34. List the prime factors of w. 7 Let q(c) = -c**3 - 9*c**2 - 10*c - 12. Let j(l) = 3*l + 4. Suppose 0 = m - 0*r + 4*r + 12, 4*r = 3*m + 4. Let h be j(m). List the prime factors of q(h). 2 Suppose 5*g + 0*g = 3*h + 8, 5*h - 20 = 0. Suppose 5*y = -4*o + o + 38, -g*o + 49 = 5*y. What are the prime factors of o? 11 Let o be 155/(-10) - 1/2. Let t = 62 + o. What are the prime factors of t? 2, 23 Suppose -20 = -0*y - 4*y, 345 = 5*t - 4*y. What are the prime factors of t? 73 Let t(d) = 2*d - 9. Let h be t(6). Suppose -3*j - 12 = -4*f - 0*j, -3*f = h*j + 12. Suppose u - 6 - 3 = f. List the prime factors of u. 3 Let h be 186/4 + 6/(-12). Suppose 5*s - 151 = -h. List the prime factors of s. 3, 7 Let v = 38 + 17. List the prime factors of v. 5, 11 Let f be 296/(-7) + (-4)/(-14). List the prime factors of 9 + -3 + -4 - f. 2, 11 List the prime factors of (-36)/((2 - 3) + 0). 2, 3 Let k be (-12)/5 + (-10)/(-25). List the prime factors of 9 + (k + 4)/1. 11 Let w(z) be the first derivative of z**2/2 + 8*z - 4. Let n = 0 + 0. What are the prime factors of w(n)? 2 Let g(c) = -c + 10. Let n be g(-10). Suppose n = -4*j, 5*x + 2*j - 39 = 61. List the prime factors of x. 2, 11 Let d(o) = 2*o**2 + o - 1. Let a be d(1). Let z = a - -1. Suppose -3*y - 1 = -3*g + g, -g + 14 = z*y. What are the prime factors of g? 5 Let t(r) be the second derivative of r**5/5 - r. Let h be t(1). Let d(g) = 4*g - 6. List the prime factors of d(h). 2, 5 Suppose 4*b = 5*k + 55, 5*k - 34 = -2*b + 31. Suppose 4*z = -z + b. Suppose -11 = -z*c + 3*c. What are the prime factors of c? 11 Let d = -1 + 0. Suppose -u + 1 = -3*n + 8, 0 = u - 2. List the prime factors of n - (-1 - (d - 0)). 3 Suppose -l = -4*l - 4*m + 38, -3*m + 24 = 2*l. What are the prime factors of l? 2, 3 Let j be (1 + 12/(-3))*2. Let w be 3/9 - 64/j. Let r = 18 - w. List the prime factors of r. 7 Suppose -k = 2*g - 187, 0*g = 2*g - 2*k - 196. List the prime factors of g. 5, 19 Suppose -5*i - 288 = -9*i. Let d = -35 + i. What are the prime factors of d? 37 Suppose 2*j - j = 8. Suppose j = -5*f - 3*y, 0*y - 3*y - 5 = 2*f. List the prime factors of (-24)/(-9) + f/(-3). 3 Suppose -5*v = -71 + 11. List the prime factors of 31/3 - (-8)/v. 11 Suppose -20 = -5*k, -m + 2*m - 3 = -k. Let y(b) = -5*b**3 + 2*b**2 + 2*b + 1. Let z be y(m). Let w = 17 - z. What are the prime factors of w? 11 Let a = -8 + 26. List the prime factors of a. 2, 3 Let g(u) be the second derivative of 0 - u + 1/2*u**3 + 1/6*u**4 + 1/2*u**2. What are the prime factors of g(-2)? 3 Let f(z) = 4*z**2 + 4*z. Let u be f(-4). Let y(v) = -4*v - 108. Let o be y(-28). Suppose o*w - u = 40. What are the prime factors of w? 2, 11 Let t(v) = 5*v**2 + v. Let q be t(-1). Suppose 1 = m + 3*j - 0*j, q*m - 3*j = 49. What are the prime factors of m? 2, 5 Let c(b) = b - 4. Let p = -19 - -35. What are the prime factors of c(p)? 2, 3 Suppose -5*f + 10 + 0 = 0. Let y(s) = 2*s + s + 0*s**f + s + 1 + s**2. List the prime factors of y(-5). 2, 3 Suppose 3 = -3*q, -4*o = 2*q + 2*q - 12. What are the prime factors of o? 2 Let k(c) = -c**2 - 9*c - 6. Suppose 0 = 5*p + 2 + 28. What are the prime factors of k(p)? 2, 3 What are the prime factors of (15/4)/((-2)/(-48))? 2, 3, 5 Suppose 32*r - 29*r = 240. List the prime factors of r. 2, 5 Suppose -55 = -4*w - 4*m + 5, 0 = 3*w + m - 37. What are the prime factors of w? 11 Let k be (-18)/42 - (-409)/7. Suppose 2*y + y = u + 34, 5*u - k = -4*y. What are the prime factors of y? 2, 3 Let u(c) = -c**3 + 10*c**2 + 2*c - 14. Let t be u(10). Let x(k) = k**3 - 6*k**2 + 6. What are the prime factors of x(t)? 2, 3 Suppose 2*a - 2 = -2*s + 7*s, 4*s + a + 12 = 0. List the prime factors of ((-7)/(-21))/(s/(-138)). 23 Let p = -29 + 33. Let j be ((-9)/(-12))/(2/8). What are the prime factors of 6/4*p/j? 2 Suppose -f = -3*f. Suppose 0*r - 4*x - 4 = 4*r, -5*r - 3*x + 1 = f. Suppose 5*w - 3*u = 49, w - r*w - 3*u + 17 = 0. List the prime factors of w. 11 Let b = -59 + 219. Suppose 7*k = 2*k + b. List the prime factors of k. 2 Let a be (-10)/3*6/(-5). Let n = a + -8. List the prime factors of (n/3 + 1)*-9. 3 Let o(b) = -14*b - 11. Let p(c) = -5*c - 4. Let k(d) = -4*o(d) + 11*p(d). List the prime factors of k(6). 2, 3 Let z = -14 - -16. Suppose 93 = n + z*n. What are the prime factors of n? 31 Let v(t) = -t + 12. List the prime factors of v(0). 2, 3 Suppose -2*b - 8 = -44. List the prime factors of b. 2, 3 Let d be (6/4)/(30/40). Suppose 2*u + 31 + 7 = 2*p, d*p - 50 = -4*u. What are the prime factors of p? 3, 7 Let m = 3 + 5. Let t = m + 0. List the prime factors of t. 2 Let x be (-5 - 0)*8/(-20). Suppose 3*b + 12 = 2*p, 3*p + 5*b + x = -18. Suppose -18 = -l - 3*a, 7*l - 2*l - 5*a + 10 = p. List the prime factors of l. 3 Let x = -41 - -80. Suppose -3*u - x = -6*u. What are the prime factors of u? 13 Suppose 4 = -q + 2. List the prime factors of -1 - (0 - (8 - q)). 3 Let m(u) = -u**3 + u**2 + 5*u - 2. Let q be m(3). Let h = 25 - 37. Let s = q - h. What are the prime factors of s? 7 Let d(v) = v - 2. Let z be d(6). Suppose 4*m - m + 2*w - 45 = 0, -4*w = -z*m + 60. Suppose m = i + 5*r, i - 5*r = -0*i - 5. List the prime factors of i. 5 Let m(k) = -4*k**2 + 5*k + 2. Let w(s) = 5*s**2 - 2 - 4*s**2 + 1. Let h(l) = m(l) + 6*w(l). List the prime factors of h(-4). 2 Let x(m) = -9*m + 22. Let h(b) = -4*b + 11. Let t(l) = 7*h(l) - 3*x(l). Let g be t(0). Let z = g + 9. List the prime factors of z. 2, 5 Suppose 185 = 3*b - 7*b - 5*q, 3*q + 241 = -5*b. Let x = b - -106. What are the prime factors of 4/(-2) - x/(-4)? 2, 3 Let f(q) = q**2 + 3*q + 4. List the prime factors of f(6). 2, 29 Suppose -464 = -2*a - 2*z, 2*z - 272 = -3*a + 421. What are the prime factors of a? 229 Let u be ((-186)/(-8))/(3/8). Suppose -i + 3 = -2*c, -3*i + u = 4*c + 13. List the prime factors of i. 11 Suppose 3*q - 3 = -a - 4*a, -q = -5*a - 21. Suppose -q*o + 75 = -o. What are the prime factors of o? 3, 5 Suppose 8 = -3*m + 29. Suppose 2*y = 3 - m. List the prime factors of -12*(-1 + y/(-4)). 2, 3 Let d = -11 - -15. Let m(q) = -q**3 - 4*q**2 - 4*q + 4. Let c be m(-4). Suppose -f + c = d*f. What are the prime factors of f? 2 Let t = 13 + -7. Suppose -i = -0*i - 2. Suppose -64 = i*o - t*o. List the prime factors of o. 2 Let z = 7 - 14. Let s(g) = -g**3 + 8*g**2 + g - 4. Let a(j) = 2*j**3 - 17*j**2 - 2*j + 7. Let n(i) = z*s(i) - 3*a(i). List the prime factors of n(5). 2 Suppose 3 = -2*y - 3*t, 13 - 1 = y - 3*t. Suppose -y*s = -52 + 19. What are the prime factors of s? 11 Suppose g - 5 = -0*g. Suppose -g*q + 4*d - 5 = -2*q, -q + 25 = 4*d. Suppose -4*i + 0*o = 2*o - 10, -4*i - q = 5*o. List the prime factors of i. 5 Let y(b) = -5*b**3 + 3*b**2 + 3*b. Let v be y(-2). Suppose -6*w + w + 3*h = -v, -2*h = -6. Suppose -7 = -2*x + w. What are the prime factors of x? 3 Suppose 4*o - 9*o = -535. What are the prime factors of o? 107 Let q(m) = m**2 + 2*m - 2. Let u be (-4)/8*0/(-2). Suppose 2*n - 2*a - 9 + 23 = 0, u = n - 4*a + 16. What are the prime factors of q(n)? 2, 3 Let i(g) = 6*g + 8. Suppose 2*p = -3*p + 20. What are the prime factors of i(p)? 2 Let y(m) = 4*m**2 + 12*m - 7. Let u(c) = 11*
{ "pile_set_name": "DM Mathematics" }
he nearest integer? 39 What is 468498 to the power of 1/9, to the nearest integer? 4 What is 8827191 to the power of 1/2, to the nearest integer? 2971 What is 158656 to the power of 1/8, to the nearest integer? 4 What is the eighth root of 4890290 to the nearest integer? 7 What is the tenth root of 267775 to the nearest integer? 3 What is 10798144 to the power of 1/3, to the nearest integer? 221 What is 61970 to the power of 1/3, to the nearest integer? 40 What is 326725 to the power of 1/8, to the nearest integer? 5 What is the square root of 128528 to the nearest integer? 359 What is 19584488 to the power of 1/10, to the nearest integer? 5 What is 209455 to the power of 1/2, to the nearest integer? 458 What is 1711648 to the power of 1/8, to the nearest integer? 6 What is 374680 to the power of 1/4, to the nearest integer? 25 What is the square root of 1940495 to the nearest integer? 1393 What is the square root of 37158291 to the nearest integer? 6096 What is the third root of 17700655 to the nearest integer? 261 What is 26506070 to the power of 1/10, to the nearest integer? 6 What is the third root of 650316 to the nearest integer? 87 What is the square root of 14064434 to the nearest integer? 3750 What is the cube root of 1701310 to the nearest integer? 119 What is the cube root of 260707 to the nearest integer? 64 What is 2267284 to the power of 1/6, to the nearest integer? 11 What is the third root of 134037 to the nearest integer? 51 What is the square root of 28530515 to the nearest integer? 5341 What is 227066 to the power of 1/10, to the nearest integer? 3 What is 503667 to the power of 1/3, to the nearest integer? 80 What is 338499 to the power of 1/2, to the nearest integer? 582 What is the cube root of 20232897 to the nearest integer? 272 What is 24928071 to the power of 1/2, to the nearest integer? 4993 What is the square root of 230106 to the nearest integer? 480 What is the square root of 35545690 to the nearest integer? 5962 What is the cube root of 14081880 to the nearest integer? 241 What is the fourth root of 1438843 to the nearest integer? 35 What is 9014333 to the power of 1/2, to the nearest integer? 3002 What is the fifth root of 68958 to the nearest integer? 9 What is the third root of 1267207 to the nearest integer? 108 What is the third root of 276838 to the nearest integer? 65 What is the sixth root of 53536 to the nearest integer? 6 What is the third root of 399457 to the nearest integer? 74 What is 1334335 to the power of 1/2, to the nearest integer? 1155 What is 2899114 to the power of 1/2, to the nearest integer? 1703 What is the cube root of 136509 to the nearest integer? 51 What is 705703 to the power of 1/7, to the nearest integer? 7 What is the square root of 4491026 to the nearest integer? 2119 What is the eighth root of 19870794 to the nearest integer? 8 What is the sixth root of 10124052 to the nearest integer? 15 What is the fourth root of 17931062 to the nearest integer? 65 What is the sixth root of 29927184 to the nearest integer? 18 What is 625603 to the power of 1/3, to the nearest integer? 86 What is the third root of 2555620 to the nearest integer? 137 What is the cube root of 909490 to the nearest integer? 97 What is 28539 to the power of 1/3, to the nearest integer? 31 What is the cube root of 269161 to the nearest integer? 65 What is 1295237 to the power of 1/3, to the nearest integer? 109 What is the cube root of 58296 to the nearest integer? 39 What is 65223 to the power of 1/9, to the nearest integer? 3 What is 43489 to the power of 1/2, to the nearest integer? 209 What is the square root of 107050 to the nearest integer? 327 What is 1139097 to the power of 1/6, to the nearest integer? 10 What is 10445839 to the power of 1/2, to the nearest integer? 3232 What is the sixth root of 2297390 to the nearest integer? 11 What is 178186 to the power of 1/3, to the nearest integer? 56 What is the square root of 21878112 to the nearest integer? 4677 What is the square root of 3044350 to the nearest integer? 1745 What is 1881661 to the power of 1/3, to the nearest integer? 123 What is 185213 to the power of 1/6, to the nearest integer? 8 What is 1814272 to the power of 1/3, to the nearest integer? 122 What is the square root of 225662 to the nearest integer? 475 What is 1729545 to the power of 1/2, to the nearest integer? 1315 What is 143560 to the power of 1/2, to the nearest integer? 379 What is 9528888 to the power of 1/10, to the nearest integer? 5 What is the third root of 273270 to the nearest integer? 65 What is 360798 to the power of 1/6, to the nearest integer? 8 What is 131339 to the power of 1/2, to the nearest integer? 362 What is 33786 to the power of 1/3, to the nearest integer? 32 What is the third root of 5647462 to the nearest integer? 178 What is the ninth root of 921090 to the nearest integer? 5 What is the third root of 267472 to the nearest integer? 64 What is 2033521 to the power of 1/2, to the nearest integer? 1426 What is the third root of 1401356 to the nearest integer? 112 What is 28493465 to the power of 1/2, to the nearest integer? 5338 What is the fourth root of 151100 to the nearest integer? 20 What is 395337 to the power of 1/3, to the nearest integer? 73 What is 13519763 to the power of 1/2, to the nearest integer? 3677 What is 518546 to the power of 1/2, to the nearest integer? 720 What is the ninth root of 1372996 to the nearest integer? 5 What is 361987 to the power of 1/5, to the nearest integer? 13 What is 11513385 to the power of 1/6, to the nearest integer? 15 What is 201353 to the power of 1/6, to the nearest integer? 8 What is the ninth root of 5763070 to the nearest integer? 6 What is the cube root of 577971 to the nearest integer? 83 What is the square root of 13866253 to the nearest integer? 3724 What is 921093 to the power of 1/2, to the nearest integer? 960 What is 953201 to the power of 1/3, to the nearest integer? 98 What is the third root of 446657 to the nearest integer? 76 What is the square root of 2914676 to the nearest integer? 1707 What is 76695 to the power of 1/2, to the nearest integer? 277 What is 146006 to the power of 1/2, to the nearest integer? 382 What is the square root of 209529 to the nearest integer? 458 What is 96880 to the power of 1/2, to the nearest integer? 311 What is 2984866 to the power of 1/3, to the nearest integer? 144 What is 4670876 to the power of 1/3, to the nearest integer? 167 What is the fifth root of 6540295 to the nearest integer? 23 What is the square root of 535521 to the nearest integer? 732 What is 89337 to the power of 1/2, to the nearest integer? 299 What is the square root of 8505999 to the nearest integer? 2917 What is 264756 to the power of 1/2, to the nearest integer? 515 What is the sixth root of 556820 to the nearest integer? 9 What is 9612649 to the power of 1/2, to the nearest integer? 3100 What is 11279346 to the power of 1/4, to the nearest integer? 58 What is the eighth root of 201890 to the nearest integer? 5 What is the fifth root of 6157633 to the nearest integer? 23 What is 471251 to the power of 1/2, to the nearest integer? 686 What is 65929 to the power of 1/3, to the nearest integer? 40 What is the cube root of 569703 to the nearest integer? 83 What is the tenth root of 18025502 to the nearest integer? 5 What is 75265 to the power of 1/2, to the nearest integer? 274 What is 13224473 to the power of 1/3, to the nearest integer? 236 What is 2350733 to the power of 1/2, to the nearest integer? 1533 What is 3658114 to the power of 1/5, to the nearest integer? 21 What is the tenth root of 115233 to the nearest integer? 3 What is 29388562 to the power of 1/3, to the nearest integer? 309 What is 2507060 to the power of 1/3, to the nearest integer? 136 What is the sixth root of 220403 to the nearest integer? 8 What is the fourth root of 8782130 to the nearest integer? 54 What is the square root of 409858 to the nearest integer? 640 What is 277911 to the power of 1/3, to the nearest integer? 65 What is the square root of 3983 to the nearest integer? 63 What is the square root of 1441669 to the nearest integer? 1201 What is the square root of 32348 to the nearest integer? 180 What is 67855 to the
{ "pile_set_name": "DM Mathematics" }
ppose -22*u + 19*u = 78. Is -26 > u? False Suppose 4*d = -c - 0*d - 3, d + 12 = c. Let z be 0 + -3*(-12)/c. Let o = 3 + -3. Is z at least as big as o? True Let i be -1 + (-4 - -1)/(-1). Let z be 1 + -1 + i + -1. Let r = 1 - z. Is 2/11 less than r? False Let f = -10 + 10.04. Let h = 24.96 - 24. Let t = h + f. Are t and 1 unequal? False Let i = -2 - -7. Let x be (-21)/(-15) + (-2)/i. Which is bigger: x or 2? 2 Let n be 2 + 0 - 60/33. Let m = 12/55 + n. Suppose -p - 3*y - 2*y = -26, -11 = 4*p - 3*y. Is p > m? True Let y = -0.72 - 0.28. Does -1 = y? True Let k be (3 + -9)/3 + 0. Is -2 <= k? True Suppose -v = d - 28, d = 5*v - 0 - 2. Is 22 bigger than d? False Suppose 3*d + 0 = 3. Let n = 1.9 - 2. Which is greater: n or d? d Suppose 0 = -5*n + 2*g + 6 + 12, -2 = 3*n + 2*g. Suppose -2*a + 5*q = -9 - 16, 4*q = -20. Suppose a*z = n*z + 2. Is -3/8 > z? True Suppose y = s, 40 = 4*y - 0*y + 4*s. Suppose y = n + 4. Let o be n - (2/(-2) - -1). Which is smaller: o or 2/5? 2/5 Let b = -74.2 - -75. Let n be 2/8 - (-3)/36. Which is bigger: n or b? b Let y be -1*(-402)/(-328) + 1. Let r = -462 - -18941/41. Let d = y + r. Which is greater: d or -1? d Let i = 8.4 + 2.6. Let m = 18 - i. Let t = m - 7.1. Which is smaller: -1/2 or t? -1/2 Suppose 5*b = -5*l - 4 + 24, 0 = 2*b + 4*l - 18. Let i = b + -2. Is -5 > i? False Let y be 3/((-12)/8) - 11. Is y < 2? True Let p(i) = -i - 3 + 0 + 5 + 0. Let r be p(6). Is r not equal to -2? True Let i be (-1)/(-2)*2216/14. Let k be 1260/(-16) - (-2)/(-8). Let u = i + k. Which is bigger: 0 or u? u Suppose -16 = -5*p + p. Suppose -f = -p*i - 2*f - 3, 5*f - 7 = 2*i. Is -3 >= i? False Let m = -0.0338 + 3.0238. Let h = 0.01 + m. Let n = h + -3.1. Which is greater: n or 0.3? 0.3 Let o(c) = -c**2 + 6*c + 2. Let g(q) = q**3 - 7*q**2 - 7*q - 2. Let l be g(8). Let h be o(l). Which is smaller: 3 or h? h Suppose -3*u - 42 = -0*u. Let h be (-2)/3 + u/(-21). Let v be 2 - 1 - 20/25. Which is bigger: v or h? v Let a = 18.263 - 0.063. Let q = a + -20. Let b = 0.2 - q. Is -2/7 > b? False Suppose 2*z + 4 = -m, 0 = 2*m - 4*z + 12 + 28. Let q = m - -2. Is -11 greater than q? False Let p be 1/(56/(-20) + 3). Let l be (-12)/(-60) - 6/p. Which is bigger: l or 3/7? 3/7 Suppose -4*v - 8 = -2*c - 2, v = 4*c - 5. Are c and -1 equal? False Let s(l) = -l**3 - 2*l**2 - 2. Let i be s(-2). Let d = i - -3. Let r be 4/(-18) + 68/144. Which is greater: d or r? d Let z be 5/(-3)*(-2)/(-5). Let h = -12 - -11. Which is smaller: z or h? h Let b = 5 + -6. Is 0 at least as big as b? True Let t = -129 + 1159/9. Suppose 5*z - z = -8. Let q be (z - -2) + (0 - 1). Which is smaller: t or q? q Let j = 3 + -4. Let t = 17/3 - 53/9. Is j at most as big as t? True Let q be (-9)/6*(-8)/12. Which is smaller: -2/37 or q? -2/37 Let b be 2 + -2 + (-2)/(-6). Let h be (-4)/24*1*-6. Which is smaller: h or b? b Let u = 4 + -4. Which is smaller: u or 1/22? u Let y = -2 + 5. Let o = -17.1 + 20. Let q = y - o. Is q at most as big as -2? False Let u(a) = -7*a**3 - 1. Let t be u(-1). Let c be 4/t + 25/3. Let l be (3/2)/(c/(-12)). Is l at least as big as -2? True Let o = 5/18 - -2/9. Let k be (-2)/3*(0 - 3). Suppose -k = n - 2*n. Is o at least as big as n? False Let m = -2 + -8. Let p = -13 - m. Which is greater: -12/5 or p? -12/5 Suppose 7*j = 2*j + 15. Let l be (-8)/(-14) + (3 - j). Which is smaller: 0 or l? 0 Let k = 0.32 + -0.02. Let u = k + -0.4. Let i = 9.9 + -10. Are i and u non-equal? False Let o = 647/9 + -72. Let m = -248 + 249. Which is greater: o or m? m Suppose -2*y = 3 - 1. Let o = 136 - 1494/11. Which is bigger: o or y? o Let i(c) = 6*c + 17. Let a be i(-3). Is 1/20 <= a? False Let w be (-135)/(-6) + (-1 - 0). Let x = 22 - w. Is x bigger than 2? False Let w = 0.15 + 0. Let l = 0.05 - w. Which is bigger: l or 1/3? 1/3 Let i be ((-24)/(-10))/(12/(-40)). Let x = i + 4. Is -2 at least x? True Let j(i) = i + 8. Let m be j(8). Suppose 0 = 4*r + 2*x + m - 6, -5*x - 5 = 0. Let t be 2/(-9) - 0/r. Which is greater: -3/5 or t? t Suppose -4*o - 12 = 0, -2*o = -n + 9 + 1. Is 17/6 >= n? False Let j = -9 + 13. Suppose 2 + 2 = -j*c. Is -0.1 greater than c? True Suppose 5 = 3*u - 4. Suppose -5*o = -u*y, -4*y + 7*o - 3*o = 0. Is -1/4 > y? False Suppose 3 = -3*m, -3*m - 148 = -5*r + 115. Suppose -4*n = -4*u + r, 5*u = 2*n - 7*n + 95. Which is smaller: u or 17? u Let x = 23/17 - 1391/1003. Is x greater than or equal to -1? True Suppose 46*s - 44*s = -70. Is s >= -33? False Let n = -2 + 2. Suppose n*v + 3*v = 9. Are v and 5/3 nonequal? True Let v be 24/11 + (-2)/11. Suppose 7*f - v*f - 10 = 0. Suppose -f*n = 3 + 3. Is -3 not equal to n? False Let q = 6 - 0. Is q greater than 2? True Let z be 16/(-4) + 0 + 23. Which is smaller: 17 or z? 17 Let k = 0.06 + -0.36. Let f(v) = v + 2. Let q be f(-1). Is q smaller than k? False Suppose -6*y + y + 3*w - 10 = 0, -4*y = 3*w + 8. Which is bigger: -5/8 or y? -5/8 Let c be (7/(-2) - -2)*(-12)/162. Which is greater: 0 or c? c Let o = -4.6 + 22.6. Let c = o + -17.8. Which is smaller: c or 1/3? c Suppose 5*h + 61 = -b, -2*h + 0*h + 2*b - 22 = 0. Let o be (2/h)/(15/30). Let n = -3 + 2. Is o less than n? False Let u(d) = d**2 + 1. Let o be u(-1). Suppose -2*s - o*s = 84. Let w be (56/s)/(2/6). Which is smaller: -7 or w? w Suppose -3*o - 1 = -4*o. Let k(a) = -5*a**2 + 6*a + 7 + a**3 - 3*a**2 + 0*a**2. Let r be k(7). Is r < o? True Let i be -7 - 6/(0 - -2). Let t = i - -10. Is 0 greater than t? False Let i = 3 + -1. Suppose 3*r = 5*x + 30, i*x + 10 = 7*x + 5*r. Is -5/2 > x? True Suppose 4*k + 2*i + 36 = -2*i, 4*k + i = -39. Is -10 >= k? True Let d be 48/(-18)*3/(-2). Let q = 43/3 + -41/3. Which is smaller: q or d? q Let q be (((-16)/6)/2)/((-420)/90). Is -9 > q? False Suppose -3*q + 4 = 2*t + 13, 0 = -2*t - 6. Is q greater than -1/66? False Let c = -12 + 8. Let j be 1/(-2)*c/9. Suppose 0 = 8*v - 9*v + 1. Which is greater: v or j? v Let g(n) = 3*n - 15. Let q(h) = -2*h + 14. Let d(x) = -3*g(x) - 4*q(x). Let m be d(-9). Let y be m/(-10) - 14/(-30). Which is smaller: y or -2? -2 Suppose i - 3*i = 3*v + 3, 4*i + 4*v = -4. Let s be 2 - (i + -3)*-1. Is s greater than -4? True Let r = 18 + -17. Let v(w) = -w + 3 + 2 - 2. Let x be v(4). Is x at most as big as r? True Let w = 10/109 - 272/5341. Which is smaller: -1 or w? -1 Suppose 5*t - 4 = -199. Which is smaller: -41 or t? -41 Let s = -0.2 - -0.4. Let j = 0.7 + 0.3. Is s < j? True Let c = 3 + 6. Let m(f) = f**3 + 6*f**2 + 4*f + 5. Let r be m(-5). Which is bigger: c or r? r Let m be -3 + 2 - (-11)/9. Let o(j) = j**3 - 14*j**2 + 2*j - 27. Let b be o(14). Which is greater: b or m? b Let c be (-5)/(50/(-48)) - (0 + 4). Is c at most 1? True Let d be (14/12)/(57/(-15)). Let k = d - 1/38. Which is bigger: k or 2? 2 Let z(r) = r - 9. Let b be z(6). Are b and -2 unequal? True Let f = 11/92 + 3/23. Which is smaller: 73 or f? f Suppose 0 = -61*v + 54*v. Let u = -7 - -7.7. Is v > u? False Suppose 4*c - 3*c - 43 = 0. Let k = c - 130/3. Which is smaller: k or -0.3? k Let b = -10 - -9.5. Which is smaller: b or -4? -4 Suppose 21 = -r - 2*r. Which is smaller: -17/3 or r? r Suppose n - x - 3*x + 16 = 0, -n = -5*x + 20. Are n and -3/11 nonequal? True Let w = -8.3 + 8.3. Are -6 and w non-equal? True Let w be ((-21)/(-2))/(7/14). Let h be w/9 - (-1)/(-3). Let b(t) = t**3 + 3*t**2 - 5*t - 3. Let c be b(-4). Which is smaller: c or h? c Let o(f) = -f - 4. Let i be o(-9). Suppose -m = y - 2, -3*m - 22 = -6*m + i*y. Suppose -8 = -0*u + m*u. Is -3/2 >= u? True Let l = -7.4 + 10.5. Let i = -3 + l. Are i and 1 nonequal? True Let r = 37/2 + -19. Let t be 6/(1 + -4)*-4. Let k(w) = -w**3 + 9*w**2 - 7*w - 10. Let z be k(t). Is z <= r? True Let j(x) = -2*x - 1. Let q = 13 - 11. Let u be j(q). Are -6 and u unequal? True Let u(x) = 8*x - 39 - 5*x**2 + 0*x + 48 - x**3. Let n be u(-6). Let s = n + 4. Is 2/7 >= s? False Let y = 0.2 - -0.8. Let z = y + -2. Let a = 6.9 + 0.1. Is a less than or equal to z? False Let p(b) = b**2 + 10*b + 10. Let x be p(-10). Which is greater: x or 16? 16 Let k = -10 + -17. Let n be (-9)/k*4/(-14). Is n less than 0.1? True Let k = 0.07 - -0.23. Let c = -1.09 + -0.21. Let n = c + k. Which is greater: 2 or n? 2 Let l(f) = f**3 - 5*f**2 - 5*f - 1. Let t be l(6). Suppose 3*y - t = -2*y. Which is greater: y or -2/7? y Suppose -5*m = -37 -
{ "pile_set_name": "DM Mathematics" }
9 623260 * 5 3116300 Calculate 4*0.24022. 0.96088 11088 * 3 33264 Work out 0.07 * 9.3256. 0.652792 -1462*0.1 -146.2 0.1 times -4155.8 -415.58 3*0.057265 0.171795 Product of 10 and -29.216. -292.16 Calculate -7.80248*0.06. -0.4681488 Calculate -0.637*-790. 503.23 What is the product of -31 and 419? -12989 What is 1.265 times -409.2? -517.638 Product of -0.5 and 0.50142. -0.25071 What is the product of 4 and -14.4? -57.6 What is 0.11 times -8379? -921.69 What is the product of 0 and -11.49355? 0 What is the product of -0.61 and 188? -114.68 4.365*2 8.73 Multiply 193 and 1.152. 222.336 What is the product of -0.7 and 3076.25? -2153.375 45 * -13296 -598320 -24*4318 -103632 3*-0.4092 -1.2276 0.1 times 145.76 14.576 -1.28 times 0.923 -1.18144 What is the product of 0.73497 and -12? -8.81964 Product of -617 and 59. -36403 Multiply -0.013 and -96. 1.248 Calculate -0.058*7.853. -0.455474 Product of 12706 and -21. -266826 -0.1 * 6294 -629.4 5573.8 times -0.4 -2229.52 Multiply -0.056408 and 0.4. -0.0225632 1571.92*0.06 94.3152 Multiply 8.31 and -33. -274.23 Work out 0.05 * 2866. 143.3 What is -0.5 times -6312? 3156 -1.54 times 613 -944.02 -15 * -4540 68100 8 * 6076 48608 Product of -0.32796 and -0.07. 0.0229572 What is the product of 3262 and 0.02? 65.24 Work out 1 * 502414. 502414 Work out -20947516 * -4. 83790064 Multiply -0.13 and -50.5. 6.565 What is the product of 13896 and 0.1? 1389.6 Product of 6 and 114209. 685254 Product of -0.1 and 0.047217. -0.0047217 105 times -218 -22890 2.3*3522 8100.6 Calculate 0*21805. 0 Work out 28 * 109.44. 3064.32 What is the product of -0.2802 and -16? 4.4832 31432 * -1.1 -34575.2 Multiply 0.8 and -12.625. -10.1 Calculate -0.1083*-0.11. 0.011913 1 times 23.063 23.063 Work out -2355 * -145. 341475 -8818.8 times 2 -17637.6 Product of -0.4594 and 0.35. -0.16079 1285 times -4.4 -5654 Work out 0.4 * -21855.9. -8742.36 Product of -15.19 and -110. 1670.9 1009 * -17 -17153 What is 0.114 times -2452? -279.528 Calculate 158082*5. 790410 Product of 5117 and -6.27. -32083.59 Product of 0.26 and 103345. 26869.7 Product of 1613 and 6. 9678 532.692*0.1 53.2692 Multiply 2397 and -0.8. -1917.6 What is the product of 10719 and 22.1? 236889.9 Product of 174619 and 0.3. 52385.7 Product of 8 and 26655. 213240 Product of 11.4 and -236.48. -2695.872 -0.3*10079 -3023.7 16 * -3082 -49312 Work out 1.3 * -1665. -2164.5 -1 * -1865.94 1865.94 Calculate -11189*-1. 11189 -5367.1 * -27 144911.7 -0.1 times 3254 -325.4 Product of -301 and 0.131. -39.431 83*-779 -64657 Multiply -230665 and 2. -461330 21.641 times -0.1 -2.1641 What is 2085 times 1.9? 3961.5 Calculate -1748378*0.1. -174837.8 Multiply -1.3 and 0.69397. -0.902161 462 * 0.0552 25.5024 What is the product of -5 and 2.7545? -13.7725 Work out -13.24 * -66. 873.84 -2780*-7.6 21128 -7 times 245.81 -1720.67 0.0614 * -0.01 -0.000614 Multiply 1.01 and 13. 13.13 What is the product of 4540.48 and -8? -36323.84 Product of 0.07 and -757. -52.99 What is -544268 times -0.4? 217707.2 What is the product of -0.0049815 and 3? -0.0149445 Work out 19.51 * -4. -78.04 Product of -51 and 2307. -117657 Work out -30 * 70. -2100 Work out -0.4 * -366.92. 146.768 0 times 13838 0 What is -33 times 154716? -5105628 Multiply -40.67 and 0. 0 -0.01 times -21.191 0.21191 What is the product of -918 and 1.4? -1285.2 Product of 0.3 and -32461. -9738.3 -3.4 times -63.33 215.322 Calculate -0.7058*-1. 0.7058 -50.73234*0.1 -5.073234 5116.7 * 0.3 1535.01 What is the product of 0.2 and -21.845? -4.369 Calculate 0*186098. 0 Multiply -0.154 and -0.509. 0.078386 0.09 * -20520 -1846.8 What is the product of 10 and -32.08? -320.8 What is the product of 0.4 and 20415? 8166 -708 * -205 145140 4204.01 * -5 -21020.05 Product of 0.088 and 78. 6.864 139786*-1 -139786 What is -3.6 times 0.016? -0.0576 1.12689 * -10 -11.2689 Multiply -168.79 and 21. -3544.59 -4*-13715 54860 Product of -66 and 1740. -114840 0.2*-0.27797 -0.055594 Multiply -4176 and 10.1. -42177.6 Work out -42766 * 52. -2223832 Product of 0.244 and -1361. -332.084 Multiply -0.4 and 177011. -70804.4 -0.3 * -365.88 109.764 What is 2.6 times 0.2825? 0.7345 0.1 times 3670 367 0.12377 * -7 -0.86639 Multiply 0.4 and 307925. 123170 Product of 2.78 and 0.134. 0.37252 Multiply -0.09 and 0.4973. -0.044757 What is the product of 0.0833811 and -0.3? -0.02501433 Calculate 3119.6*-0.02. -62.392 -0.308*0.11448 -0.03525984 Multiply 122.43 and -6. -734.58 Multiply -2 and -199924. 399848 What is 1005847 times -0.5? -502923.5 Product of 5 and -27.01. -135.05 -52 times -99.7 5184.4 2 times -25778 -51556 434557 * -0.5 -217278.5 -7 * 1.066 -7.462 What is the product of -9.8 and 0.06903? -0.676494 Multiply 3 and -56563. -169689 -30 times 763 -22890 -482*-284 136888 What is the product of -56.8 and -0.003? 0.1704 -9 times 1292 -11628 Product of 16748 and 4. 66992 Calculate 25.17*-8. -201.36 Product of 1481 and 10. 14810 -83 times 4594 -381302 Product of 3.2 and 83790. 268128 Calculate -46.913*-2.4. 112.5912 Product of -6 and -20115.1. 120690.6 1984785*-0.5 -992392.5 -67059*-0.3 20117.7 Multiply -39 and 0.111. -4.329 -16.8 times -10 168 Work out -16 * 226. -3616 What is 2247 times 1.234? 2772.798 -0.5 * -309287 154643.5 What is the product of -445.09 and -0.1? 44.509 What is the product of 0.069 and 12? 0.828 3*48.481 145.443 What is 2561 times 18? 46098 Work out 0.5 * 59298. 29649 Work out 0.04485 * 5.7. 0.255645 93.4*0.27 25.218 Product of 206.836 and 0. 0 What is the product of -0.0477 and 3729? -177.8733 What is -0.3 times -19091? 5727.3 What is the product of 2785 and 40.3? 112235.5 What is the product of -26238 and 0.5? -13119 Calculate -0.4*0.09867. -0.039468 What is 1.21 times 404? 488.84 Work out 10 * 67923. 679230 Work out -32.2602 * 1. -32.2602 Calculate -5845*15.9. -92935.5 What is the product of -57.916 and 1? -57.916 48 * 0.4269 20.4912 94*-0.07555 -7.1017 -155300 times 2 -310600 Multiply -5 and 0.001905. -0.009525 Calculate -229531*0.5. -114765.5 Calculate 350*-7.7. -2695 Multiply -2 and -2.4177. 4.8354 Multiply -0.4722 and 0.065. -0.030693 -8.044 * -2 16.088 Product of -0.385 and -11.5. 4.4275 Multiply 140 and -115. -16100 Work out -0.010711 * -0.1. 0.0010711 Product of 0.10925 and 0.72. 0.07866 Work out 35317 * 0.5. 17658.5 Calculate -0.57*63. -35.91 What is 17.9 times 360? 6444 Calculate -806699*-0.2. 161339.8 557 * -475 -264575 Product of 1.8691 and 83. 155.1353 Multiply -0.009 and -214. 1.926 What is the product of -65.687 and 100? -6568.7 -0.03*-404.12 12.1236 Multiply -0.0517389 and 0.5. -0.02586945 What is the product of -0.1 and -33727? 3372.7 61017.6 * -5 -305088 Calculate 3.5*8887. 31104.5 What is 3 times -65735? -197205 1.809*49.4 89.3646 Calculate -0.3*-32.93. 9.879 -4 times 2.7037 -10.8148 Product of -0.1726 and 10. -1.726 -1*-72 72 What is the product of -2 and -756? 1512 Work out 3 * 389.7. 1169.1 -75.3 * -25 1882.5 4607132 * 3 13821396 What is the product of 0.1 and -952? -95.2 What is -535.97 times 5? -2679.85 What is the product of -19555 and 0.35? -6844.25 What is the product of 8840 and -87? -769080 -0.1 times -7465.3 746.53 8801 times -165 -1452165 Calculate -0.2*-180525. 36105 Product of 163 and 196. 31948 Product of 0.3 and -7743. -2322.9 What is the product of -2.3 and -28.49? 65.527 What is -0.1435 times 1.6? -0.2296 0.5*339439 169719.5 Product of 0.1677 and 23. 3.8571 Multiply 0.026 and 10.6. 0.2756 Work out -1759 * 681. -1197879 Multiply -12.6926 and -5. 63.463 Product of -4 and 235189. -940756 0.0025 times -1.177 -0.0029425 What is the product of -642 and -19.7? 12647.4 321278*1 321278 -8.7 times -287 2496.9 -6.6 * 58 -382.8 What is the product of -0.05425 and 0.039? -0.00211575 -1*12703.2 -12703.2 Calculate -1.214*488. -592.432 -0.6 times -227.694 136.6164 What is the product of -3 and -16334? 49002 -469.31*0.1 -46.931 1.11 * -7.4 -8.214 What is the product of 2160 and -2.137? -4615.92 What is 2 times 1137.1? 2274.2 3.6 times -6706.9 -24144.84 Product of 2.3721 and -0.4. -0.94884 Calculate 0.2*4055. 811 Multiply 952 and 12. 11424 0.3*419.24 125.772 Multiply -6.2475 and 4. -24.99 Calculate 265082*0.2. 53016.4 What is the product of -1889.5 and 0.15? -283.425 What is the product of 15.83 and -3? -47.49 Multiply 20 and 32.1. 642 -1538*351 -539838 What is t
{ "pile_set_name": "DM Mathematics" }
87143. 2385324 What is 8.25 + 0.463? 8.713 What is -20 minus -22.0297141? 2.0297141 What is -1375 take away 177889? -179264 Subtract 0.5 from 2855197630. 2855197629.5 What is 581873 less than -0.4? -581873.4 Sum 289.19 and 1895301. 1895590.19 Add together -0.5 and -5158.798342. -5159.298342 Calculate -508.25 - 16.7945. -525.0445 What is 5726291358 + 7? 5726291365 Calculate -0.4 - -25.841235. 25.441235 What is -0.68464 + -0.158? -0.84264 2095.2+-74.2 2021 -16.96 - -335128 335111.04 Work out -96273 + 6. -96267 What is -1.007097 less than -21.1? -20.092903 What is -13 take away -264250.3807? 264237.3807 What is -7 - -5484618.8? 5484611.8 Calculate -3801193 - 0.04. -3801193.04 Add -4.588273046 and -0.9. -5.488273046 Calculate 0.3 - 176581112. -176581111.7 Put together 387.9188 and -3.7. 384.2188 Calculate -41970.12 + -4. -41974.12 Subtract -25.517896 from 392. 417.517896 Add together -347 and -157581352. -157581699 What is 3.232 plus -104.677? -101.445 Calculate -1654348158 - -0.1. -1654348157.9 What is the distance between 290836 and -554.1? 291390.1 Calculate 1 + -0.0309645171. 0.9690354829 What is the distance between -7 and 14745740.32? 14745747.32 Put together -13089 and -709.7. -13798.7 What is 0.2 minus 29971419? -29971418.8 What is 1 plus -1695708624? -1695708623 Add 2328883 and -0.013. 2328882.987 What is 16 take away -950540? 950556 What is the difference between -13137662 and -5? 13137657 -5 + 9719203 9719198 Add together 106785037 and 0.8. 106785037.8 What is -7931.09 + -448? -8379.09 Work out 0.4 - 12729921. -12729920.6 20543+517 21060 -1 + -9733.0186 -9734.0186 Sum -7 and 4494.877. 4487.877 Add together 46751 and 0.40642. 46751.40642 Work out -56916981016 - -0.5. -56916981015.5 What is -37 less than -1742.55755? -1705.55755 Sum -47151 and -0.5579. -47151.5579 What is -1.2 minus 7849.72091? -7850.92091 Add together 61 and -294676.4. -294615.4 Work out -1297268.802 + 0.7. -1297268.102 -15+-27405888 -27405903 Calculate -6748085140 - 0.4. -6748085140.4 Add together -203 and 1120218. 1120015 What is -31 plus 3395478? 3395447 What is -9585 + 8377533? 8367948 What is 265 + -23778? -23513 Work out -15 - 1222594. -1222609 Put together 538 and -1064587. -1064049 443047454 - 1 443047453 What is the distance between -3 and 2215330085? 2215330088 What is -3.4 minus 442248? -442251.4 Add 150096963 and 0.03. 150096963.03 Subtract 15.6 from 40141.6. 40126 What is the distance between -244 and 0.101504? 244.101504 Calculate -10 - -2193.2306. 2183.2306 Total of 143694739 and 0.245. 143694739.245 Calculate 0.172366 + -3080. -3079.827634 -2345805 - -1.8 -2345803.2 What is -2364867 + 201? -2364666 Subtract 11512 from -336.37. -11848.37 What is -81 less than -35119.5? -35038.5 What is the difference between 1362.359 and -2.85? 1365.209 Total of -0.02662 and -0.35705. -0.38367 Work out -125874.578 + 0.1. -125874.478 What is the distance between 180174 and 0.86? 180173.14 -2280326.3 + -0.8 -2280327.1 What is -497300.293 take away -0.04? -497300.253 What is the difference between -0.4764784 and -18205? 18204.5235216 Add 4 and 701458167. 701458171 Subtract 55 from -2852.02. -2907.02 Total of 0.81 and 0.1552354. 0.9652354 What is 0.1 take away 9318006? -9318005.9 What is 0.0983 - 29.426065? -29.327765 18481.215 - 29.1 18452.115 What is 8615 less than -44932? -53547 Subtract -8561 from -0.10236. 8560.89764 Sum -8 and -0.62987921. -8.62987921 Work out -59 - -1764243. 1764184 Sum -13165.3652 and 0.1. -13165.2652 What is 10.9 plus -279162.23? -279151.33 28+16003773 16003801 Add together -341223 and 98. -341125 Calculate -41.8 - -205213. 205171.2 Subtract 41 from -0.026808523. -41.026808523 What is the distance between -920.708 and -72.424? 848.284 Calculate 34.1 + -2496040. -2496005.9 Add together -3 and 147267415. 147267412 Work out 17308813 - -0.989. 17308813.989 Work out 24.3905 + -336. -311.6095 Calculate -130470.8295 - -0.1. -130470.7295 64662 + -122999 -58337 756953 + -0.6 756952.4 What is 0.10432 - -36.298? 36.40232 -29.560888486 - -0.1 -29.460888486 What is -134758.56 minus -0.0465? -134758.5135 Calculate -33 - 109.212056. -142.212056 What is -4.584747 plus -789? -793.584747 Work out 112948481 - -69. 112948550 What is -1651 take away 11042? -12693 Add together -0.2 and -195853322. -195853322.2 Total of 199882.25 and 83. 199965.25 Subtract -0.4 from 856.6147. 857.0147 -0.3 - -2826.35798 2826.05798 What is 184 - -3561775? 3561959 Subtract 4 from 46229801146. 46229801142 What is the difference between -187864594 and 0.4? 187864594.4 What is 0.041 take away 8.78488? -8.74388 29+33255897 33255926 Work out 6113.96941 - 0.1. 6113.86941 Sum 191 and -2934.14. -2743.14 Sum 0.0131 and -1857. -1856.9869 Sum 284.2397 and 0.362. 284.6017 Work out -1678320 - -0.78068. -1678319.21932 Work out -4 + -294988559. -294988563 What is 456828162 minus 1? 456828161 Sum 288 and -95668. -95380 Add together 32715132 and -0.115. 32715131.885 Work out -135.61299 - -23. -112.61299 What is 0.24 take away 140575? -140574.76 Add 76285 and 71511. 147796 What is 6587356 - -490? 6587846 Put together -36.559 and 27. -9.559 260 - 65041 -64781 -1258243+-0.923 -1258243.923 What is -5.05 less than -94294? -94288.95 -93+5.60027 -87.39973 What is the distance between -62937 and -350000? 287063 Subtract 0.68 from -1240152.5. -1240153.18 Sum 2007.0034 and 1. 2008.0034 What is 154 less than -26368.74? -26522.74 Add together 3081106278 and 2. 3081106280 Sum 3 and 167817038. 167817041 2194447 - 0.4 2194446.6 Sum 215096 and -46. 215050 What is -0.5 minus 22210594753? -22210594753.5 Put together -34.843 and 91. 56.157 Calculate -11841 - 1598271. -1610112 Subtract 0.193 from -2890.0526. -2890.2456 Put together 0.0842 and -5864727. -5864726.9158 Sum -101889 and -290. -102179 1 + 1041.70743 1042.70743 Calculate -0.3 + 0.01255555. -0.28744445 Calculate 0.5 - 51.1213124. -50.6213124 Total of -873177 and -16. -873193 Total of 46 and 9967797. 9967843 -3691206 - 121.94 -3691327.94 Calculate -33 + 0.16892981. -32.83107019 Put together -0.032018 and -87376. -87376.032018 What is 0.06146 less than -6.422621? -6.484081 Sum -25.0815 and 2.8. -22.2815 Subtract 2354299 from 0.9. -2354298.1 Add together 128 and 17672437. 17672565 Add -5 and 76.99219. 71.99219 73432.6+-0.2176 73432.3824 -240.333+-7 -247.333 What is 103351971 + -0.3? 103351970.7 What is -12924.29 - -8700? -4224.29 What is -83.451676 + -66? -149.451676 Sum 4 and -213822537. -213822533 Add together -4 and 7581590.19. 7581586.19 Calculate -1.43 + -0.0327692. -1.4627692 What is 28920 less than -4396? -33316 Calculate 0.76 - -13476353. 13476353.76 Add -1603332 and -0.4. -1603332.4 What is the difference between 960 and -815071? 816031 Subtract -0.07 from 561.9692. 562.0392 Add -954096 and -292. -954388 Add 17 and -545622363. -545622346 What is -26867 take away 0.0885? -26867.0885 What is 0.104743465 take away 0.89? -0.785256535 What is 168062 plus 3136? 171198 What is -88.1812 less than -0.053? 88.1282 Work out -142073907 - -76.8. -142073830.2 -125 - 87682474 -87682599 -5106071 - 1 -5106072 What is -1321.5128317 take away 0.4? -1321.9128317 Work out 0.7951768 - 5.5. -4.7048232 Subtract -133920986 from -5. 133920981 What is 5 - -3374228? 3374233 What is the distance between -50898 and 617? 51515 What is -3 - -348949092? 348949089 Subtract 0.0029381 from 38. 37.9970619 Sum -5588 and 4165. -1423 Total of -0.012 and 924.01. 923.998 0.137853101+-0.8 -0.662146899 Sum 28.1506 and -1.862. 26.2886 Add -0.36406 and 424. 423.63594 Work out -3 + 2425095. 2425092 What is -0.013487 plus 430487? 430486.986513 What is 79 take away -72081064? 72081143 -583525 - 50404 -633929 What is 94 minus 3337551? -3337457 Add together -9.8 and -0.87953. -10.67953 Add 18070758 and 0.6. 18070758.6 Subtract -0.1 from -5147.5. -5147.4 -418196+-1.06 -418197.06 Add -0.06 and -706877805. -706877805.06 Add -1412 and -24.5219. -1436.5219 Work out -0.0424 - 348946.9. -348946.9424 What is 5732 take away 27367? -21635 What is -1477114 take away -5017? -1472097 What is the difference between -4 and 2687293452? 2687293456 What is 58926883.55 minus 0.4? 58926883.15 What is -0.07454537 take away 57? -57.07454537 Subtract 2247477 from 282. -2247195 Subtract -0.5925706 from -4434. -4433.4074294 Subtract
{ "pile_set_name": "DM Mathematics" }
= 61*j**2 - 139*j + 608. What is w(4)? 1028 Let p(k) = -k**3 + 27*k**2 + 218*k - 7084. Give p(24). -124 Let v(a) = a**3 - 27*a**2 - 1602*a + 33264. Calculate v(19). -62 Let q(f) = -2092*f + 188341. Determine q(90). 61 Let t(h) = 2802*h + 7759. Determine t(-3). -647 Let u(f) = -2276*f - 912. Give u(-1). 1364 Let z(m) = -74*m**2 + 303*m - 2499. Determine z(9). -5766 Let l(w) = -6445*w - 12807. Give l(-2). 83 Let c(y) = y**3 - 6*y**2 - 1090*y - 235. Determine c(-30). 65 Let k(n) = -n**3 + 307*n**2 - 8864*n + 2052. Give k(32). 4 Let u(j) = 21*j**2 + 8291*j - 33184. Calculate u(4). 316 Let q(m) = 425*m - 67559. What is q(159)? 16 Let w(b) = 315*b - 3437. Give w(14). 973 Let n(d) = -651*d + 41096. Determine n(63). 83 Let x(n) = 5182*n - 15647. What is x(3)? -101 Let m(c) = -13*c**3 + 84*c**2 - 85*c - 1. What is m(1)? -15 Let y(o) = 1514*o**2 - 62059*o - 608. What is y(41)? 7 Let c(v) = -8*v**3 - 386*v**2 - 87*v - 1. What is c(-48)? -433 Let o(j) = -8*j**2 - 2868*j - 191890. Calculate o(-89). -6 Let m(k) = -70165*k - 350819. Calculate m(-5). 6 Let d(j) = -307*j - 9342. Determine d(-31). 175 Let t(s) = -4294*s - 343313. Give t(-80). 207 Let a(c) = -6*c**3 + 100*c**2 + 153*c - 99. What is a(18)? 63 Let d(j) = -9085*j + 52124. What is d(6)? -2386 Let g(h) = 86*h + 3637. Determine g(-45). -233 Let h(v) = -v**2 + 2882*v + 14415. Determine h(-5). -20 Let i(j) = 14157*j - 254887. Give i(18). -61 Let z(l) = -13*l**2 + 2674*l - 71689. Determine z(174). -1 Let o(w) = -w**3 - 13*w**2 + 137*w - 51. What is o(8)? -299 Let j(k) = -8*k**2 + 807*k - 11862. What is j(83)? 7 Let w(f) = -f**2 + 502*f - 20391. Determine w(44). -239 Let p(w) = -29*w**3 - 724*w**2 + 37*w + 2. What is p(-25)? -298 Let i(w) = 1988*w + 1162984. Give i(-585). 4 Let u(y) = -450*y**2 + 641*y + 14. Give u(4). -4622 Let b(o) = 4872*o + 638274. Give b(-131). 42 Let q(j) = j**3 + 335*j**2 + 27347*j - 1358. What is q(-194)? 0 Let y(t) = 19*t**2 + 13177*t - 106652. Calculate y(8). -20 Let f(s) = s**3 + 60*s**2 - 781*s - 36. Calculate f(11). -36 Let i(b) = b**3 - 35*b**2 - 1329*b - 287. What is i(58)? 3 Let g(h) = 3*h**2 + 1909*h - 41418. Calculate g(21). -6 Let j(r) = -8*r**2 + 507*r - 2162. Determine j(4). -262 Let f(n) = 2*n**3 - 51*n**2 + 158*n + 2230. What is f(17)? 3 Let f(d) = -d**3 - 441*d**2 + 39288*d - 2041. What is f(-517)? 27 Let h(b) = b**3 - 75*b**2 + 159*b - 952. Calculate h(73). -3 Let v(w) = -216945*w + 1084727. What is v(5)? 2 Let h(i) = 160*i - 20760. Give h(125). -760 Let j(b) = b**3 - 5*b**2 - 198*b + 2006. What is j(9)? 548 Let q(r) = 6*r**3 - 5*r**2 - 116*r - 2. Calculate q(-5). -297 Let w(f) = 60185*f - 421267. Calculate w(7). 28 Let o(q) = -20*q**2 - 2520*q + 21489. Give o(8). 49 Let c(r) = -3*r**2 + 572*r - 16580. What is c(34)? -600 Let m(z) = -10704*z - 813501. Give m(-76). 3 Let x(h) = 7*h**2 - 774*h - 255. Give x(111). 78 Let l(w) = 76*w**2 - 394*w - 122. Calculate l(5). -192 Let v(x) = x**2 - 390*x + 15065. Determine v(44). -159 Let l(p) = -2*p**3 - 190*p**2 + 1875*p + 346. Give l(-104). 34 Let v(f) = 26252*f + 157512. What is v(-6)? 0 Let s(t) = -4*t**3 - 77*t**2 + 80*t + 473. What is s(-20)? 73 Let v(g) = -31*g - 859. Calculate v(-23). -146 Let o(y) = 1818*y - 2241600. Calculate o(1233). -6 Let z(d) = 15*d**3 - 2*d**2 - 1854*d - 3705. Give z(-2). -125 Let h(p) = 194*p + 15215. Calculate h(-91). -2439 Let l(h) = -5*h**3 - 105*h**2 - 3*h + 13. Determine l(-21). 76 Let d(a) = 14*a**2 - 412*a - 2735. Calculate d(-6). 241 Let g(j) = j**2 + 483637*j - 2901850. Calculate g(6). 8 Let r(b) = -471*b**2 - 60*b - 53. What is r(-1)? -464 Let c(i) = 4127*i + 358999. Give c(-87). -50 Let t(c) = 2534*c - 31453. Determine t(12). -1045 Let s(v) = -459*v - 2532. Calculate s(-6). 222 Let f(d) = -11750*d - 246752. Determine f(-21). -2 Let k(p) = 6*p**2 + 65*p + 94. Give k(-5). -81 Let y(x) = -12606*x - 138683. Calculate y(-11). -17 Let u(b) = -37*b**2 - 431*b - 871. Give u(-9). 11 Let d(a) = a**3 - 151*a**2 + 3946*a + 1079. Give d(34). -9 Let y(c) = -153*c + 11180. Calculate y(71). 317 Let r(n) = n**2 - 28239*n - 1046212. What is r(-37)? 0 Let u(v) = v**2 + 55853*v - 167571. Give u(3). -3 Let i(f) = 18*f**3 - 4123*f**2 + 219*f + 3463. Calculate i(229). 1173 Let o(n) = -n**3 + 339*n**2 + 6452*n - 9286. Determine o(357). -4 Let z(l) = -l**2 + 880*l - 27958. What is z(33)? -7 Let w(z) = 26203*z - 445427. Calculate w(17). 24 Let v(y) = y**2 + 26223*y - 1366318. What is v(52)? -18 Let p(f) = 1855*f + 11312. Calculate p(-6). 182 Let a(t) = -8*t**2 - 7350*t - 1504903. Determine a(-308). -15 Let n(u) = u**3 + 7*u**2 - 119*u - 904. Give n(-9). 5 Let k(f) = f**3 + 567*f**2 - 11111*f + 12976. Determine k(-586). -502 Let i(v) = v**3 - 93*v**2 + 150*v - 5321. Determine i(92). 15 Let d(q) = -q**2 + 83*q - 2377. Determine d(40). -657 Let w(g) = -392*g + 78124. What is w(199)? 116 Let o(d) = d**3 - 524*d**2 - 609*d + 44062. Calculate o(525). -38 Let b(s) = -6*s**2 - 1852*s + 1130. What is b(-309)? 512 Let q(h) = -23702*h + 876703. Determine q(37). -271 Let h(b) = 9206*b + 36496. What is h(-4)? -328 Let g(t) = 2*t**2 - 2836*t - 550478. What is g(-173)? 8 Let w(n) = -35*n + 904. Determine w(27). -41 Let j(r) = -14*r**2 + 2259*r - 718. Calculate j(161). 87 Let c(z) = 3*z**3 - 885*z**2 - 6345*z + 924. Determine c(302). 18 Let l(d) = -2*d**3 + 41*d**2 - 153*d + 2602. Calculate l(20). -58 Let y(k) = 15*k**2 + 495*k + 4941. Determine y(-10). 1491 Let a(m) = -2*m**3 + 853*m**2 + 1232*m + 22169. Give a(428). -87 Let j(b) = 500*b**2 + 998*b - 6. What is j(-2)? -2 Let m(a) = a**3 + 114*a**2 + 122*a + 576. What is m(-113)? -441 Let o(j) = 2*j + 356. Calculate o(-25). 306 Let s(r) = r**3 - 329*r**2 - 1849*r + 877. Determine s(-6). -89 Let u(k) = -5*k**2 + 15035*k + 75330. Calculate u(-5). 30 Let c(t) = 3*t**2 - 2061*t + 300499. What is c(210)? -11 Let r(b) = 403*b - 51733. Calculate r(127). -552 Let v(d) = 9711*d + 73012. Give v(-8). -4676 Let c(a) = -9*a**3 - 94*a**2 + 9*a + 35. What is c(-11)? 541 Let j(i) = -4*i**3 - 66*i**2 + 72*i + 807. What is j(-17)? 161 Let l(a) = -a**3 - 37*a**2 + 855*a + 160. What is l(-53)? -211 Let g(p) = 2393*p - 4683. Calculate g(2). 103 Let s(g) = -g**3 + 79*g**2 + 603*g - 617. Calculate s(86). -531 Let z(f) = -f**2 + 4609*f + 11. What is z(0)? 11 Let r(s) = -5*s**3 - 56*s**2 + 442*s + 26. Give r(7). -1339 Let y(k) = 12*k**3 - 1574*k**2 - 1443*k + 16233. Calculate y(132). -3 Let y(t) = t**2 - 75*t + 1320. Calculate y(47). 4 Let h(f) = 1817*f + 35812. Calculate h(-17). 4923 Let g(r) = -r**2 + 6901*r + 1699088. What is g(-238)? 6 Let j(v) = 25600*v + 332800. Calculate j(-13). 0 Let g(x) = 100*x**2 - 101*x + 557. Give g(5). 2552 Let r(u) = -17*u**3 - 86*u**2 - 11*u - 49. Determine r(-5). -19 Let o(t) = 2*t**2 - 83*t + 755. Calculate o(12). 47 Let g(z) = -351*z**2 + 214*z + 211. Give g(-1). -354 Let d(s) = -3*s**2 + 2922*s + 52953. Give d(-18). -615 Let b(n) = n**2 - 1179*n + 26700. What is b(23)? 112 Let q(m) = -145994*m + 146026. Determine q(1). 32 Let s(a) = a**3 - 240*a**2 - 239*a - 600. Give s(241). -118 Let a(b) = 121*b**3 - 749*b**2 + 142*b + 11. Determine a(6). 35 Let r(p) = -91*p - 6321. Calculate r(-78). 777 Let p(d) = -d**2 - 1009*d - 19208. What is p(-19)? -398 Let c(l) = l**3 + 42*l**2 - 165*l + 442. What is c(-46)? -432 Let w(m) = m**2 - 245*m - 19109. What is w(-62)? -75 Let m(f) = -11*f**3 + 46*f**2 + 217*f - 358. What is m(-6)? 2372 Let v(d) = d**2 + 592*d - 119658. Calculate v(159). -249 Let a(r) = -3*r**3 - 46*r**2 - 457*r - 3005. Give a(-10). -35 Let j(f) = -f**2 + 62065*f - 10830759. Give j(175). -9 Let h(j) = -j**2 - 110*j + 14980. Give h(79). 49 Let x(g) = -g**3 - 17*g**2 + 246*g + 232. Calculate x(-26). -80 Let q(d) = 941*d**2 - 9158*d + 18004. Give q(7). 7 Let u(c) = 279*c - 4225. Determine u(15). -40 Let u(c) = -743*c + 50. Give u(0). 50 Let g(a) = -706*a + 10256. Give g(14). 372 Let h(q) = 192*q**2 - 5190*q + 155. Give h(27). -7 Let x(f) = 9*f**2 + 38*f - 22357. Calculate x(-52). 3 Let n(y) = 6939*y**2 - 41655*y + 4. Determine n(6). -122 Let t(m) = -17*m**2 - 5090*m - 2155. Calculate t(-299). -62 Let z(y) = 74*y - 2588. Calculate z(36). 76 Let m(o) = 439*o + 2181. Determine m(-5). -14 Let t(u) = -2*u**3 - 65*u**2 - 770*u - 23644. Give t(-32). -28 Let j(l) = -
{ "pile_set_name": "DM Mathematics" }
(((-36)/(-165))/3)/(4/30)? 6/11 What is the value of -3 + 0 - (-26)/10? -2/5 Evaluate (2/14)/((105/14)/15). 2/7 8*(1071/98 + -11) -4/7 What is 0 + 5/(-1) + 1030/206? 0 What is 14/(-16) - ((-50)/(-16) + -3)? -1 What is the value of 40/4*4/10? 4 What is (-58)/8 + (34 - 27)? -1/4 What is the value of (-1)/(-15)*(-720)/216? -2/9 (2 + -6)/(-1) - 34/10 3/5 Calculate (42/245)/((-9)/(-15)). 2/7 Evaluate (-585)/189 - 2/(-21). -3 -2 + (-8)/10*200/(-48) 4/3 What is (-36)/8 + 0 - -3? -3/2 Calculate (407/110)/37*-2. -1/5 Calculate (11 + -12)/(8/(-10)). 5/4 What is 10 + 3 + (-188)/14? -3/7 11/(-22)*(1 + -1) + 1 1 What is the value of (34/51)/(2/36) - 6? 6 What is the value of -3 + (5 - 7) + 1? -4 (-2)/(4/(-3)) + -1 1/2 What is the value of ((-3)/10)/(6/(-10))? 1/2 What is ((-26)/4 + 6)/(1/10)? -5 (-13 + 7 - (2 - 7))*-1 1 What is the value of 2/8 - (-7)/(-56)*42? -5 What is the value of (-94)/(-20) - (-6)/20? 5 What is the value of ((-10)/(-24))/(1/12*4)? 5/4 Evaluate (-2 - -1)/((-44)/8 + 0). 2/11 Calculate (6 + -7)*(-1 - -6)*1. -5 What is (-38)/(-5) + 88/(-11)? -2/5 (-3)/2*94/141 -1 What is 145/(-58)*((-1)/5 - -1)? -2 Evaluate -1 + 7/(7/(-3)) - 1. -5 Evaluate (-8)/12 - -11*(-4)/(-12). 3 Evaluate (-2)/3 - (-260)/156. 1 What is the value of ((-27)/(-6))/(-8 - 38/(-4))? 3 What is (-72)/(-30) - 21/15? 1 Calculate (3/(-4))/(-45 + 44). 3/4 What is -10*(111/(-36))/(-37)? -5/6 What is the value of (-45)/27*3/1? -5 (-1 + 28/20)*15/(-33) -2/11 Evaluate 0*((-2)/(-4) + (-130)/156). 0 (-15)/12*(-8)/60 1/6 What is the value of -9*1 - (5 + (7 - 14))? -7 What is 4/12*6/(-2 + 3)? 2 Calculate (-14)/4*(-3)/84. 1/8 (-9)/42 - 10/35 -1/2 Calculate 228/40 + -3*(-4)/40. 6 What is ((-15)/(-6))/5 - (-1)/(-2)? 0 What is -5*(77/(-7) - -10)? 5 What is the value of (0/1 - 3) + 58/18? 2/9 (-279)/(-124) + 26/(-8) -1 What is the value of (3*(-2)/40)/((-195)/130)? 1/10 Evaluate 0 + 5/(-1) + 3. -2 What is 162/216*1/2? 3/8 Evaluate (6/(-4)*1)/((-1110)/(-296)). -2/5 Evaluate (1 - 2) + (1 + -5 - 0). -5 (-11)/(-9) - 1 - (-28 + 28) 2/9 Evaluate (-48)/416*52/(-24). 1/4 What is the value of 6*(1 + -3)/(-6)? 2 What is the value of 4*1/(-4) + 85/119? -2/7 Calculate 64/(-110) + 20/(-1210)*-11. -2/5 Evaluate 1/(-6 + (-238)/(-42)). -3 What is 1*(34/85 - (-8)/5)? 2 Evaluate 12/60*(-10)/8. -1/4 What is the value of 7 - -4*(-4 + 2)? -1 (-77)/44*3/7 -3/4 Evaluate 120/(-25) - (-6 - -1). 1/5 Evaluate (-6)/(-12)*-3*(1 - 2). 3/2 Evaluate (-30)/255*67 - -8. 2/17 What is the value of -2*(-5)/25*(-50)/4? -5 (16/80)/((-12)/(-20)) 1/3 What is (12/156)/((-2*1)/(-2))? 1/13 Calculate ((-11)/24 + (-2)/(-3))*-4. -5/6 What is the value of (1 + (-4)/(-1))/(-4)? -5/4 Evaluate ((-2)/(-1))/((-8)/(-12)). 3 Evaluate (-276)/1794 - 53/(-91). 3/7 54/(-21) - (-8 - 177/(-21)) -3 What is the value of -5 - (-2 + 1)*(-48 + 45)? -8 What is the value of (-16 - -14) + 0 + -2? -4 Calculate 2/(-12) - (-3 + 52/(-24)). 5 5/2*4/2 5 Evaluate (-2)/(-3)*(3/(-2) - -2). 1/3 What is the value of (-4)/(7 - 3)*1? -1 What is ((-5)/((-30)/8))/(52/(-78))? -2 4/(-6)*(12/(-8) - -3) -1 What is (18 + 0)*(-59)/(-177)? 6 What is (-5 + 10/2)*(-2)/(-4)? 0 Evaluate (-18)/12 + (-1)/2. -2 Calculate (0 + (-4)/(-26))/1. 2/13 Evaluate -2 - ((-34)/12 - -1). -1/6 Evaluate 0 - -2 - (-52)/(-78). 4/3 Evaluate (9 - 285/21) + 4/7. -4 (162/10)/(-27) + 4/(-35) -5/7 What is ((-384)/(-480))/(4/(-30))? -6 Evaluate 5 - (37 + -39)*(-11)/5. 3/5 -1*(26/(-10) + 2) 3/5 Evaluate (22 - 27)/(-3 + (0 - -2)). 5 Evaluate (6/(-21))/(8/(-14)). 1/2 What is the value of 30/9*(-24)/10 + 13? 5 What is the value of (-1)/((-21)/7) + (-4)/20? 2/15 (0 - (-15)/(-6))/((-10)/8) 2 8/(-6)*330/4180 -2/19 40/20 - 1*4 -2 6/(-5)*15/(-6) 3 What is ((-7)/(-14))/(3/(-36)*-2)? 3 What is 8 + (-728)/63 + 4? 4/9 What is the value of (20/8)/(-5)*4? -2 What is the value of 30/18*(-279)/155? -3 What is -1*((-40)/6 + 7)? -1/3 Evaluate (5/10 + 1)*(1 + 1). 3 ((-3)/10)/((-57)/(-38)) -1/5 What is 17220/(-2835) - (-4)/54? -6 Calculate -12 + 8 + 30/7. 2/7 What is -1*(-5 - (4 - 11))? -2 Calculate 2 + -4 - 2*(1 - 5). 6 Calculate (354/(-649))/(8/(-22)). 3/2 What is the value of 2/(-4)*1*-10? 5 Calculate (5/(-10) - 4)/((-24)/(-32)). -6 11/22*5/((-100)/24) -3/5 6*(284/(-56) - -5) -3/7 What is the value of (16 + (-11 - 2))/(-3)? -1 (3/(-4))/(5/(160/108)) -2/9 What is 4/32*-6*4? -3 Calculate 40/(-75)*(-12)/8. 4/5 What is (-135)/33 + 168/154? -3 Evaluate -1 + (-51)/(-18) + 16/(-48). 3/2 What is (-27)/(-10) - (-3)/(-4)*4? -3/10 -3 + (-308)/(-60) + 4/(-30) 2 Calculate -1*(-20)/(-44)*(-2)/(-5). -2/11 Evaluate 270/(-38) - (-15)/(120/56). -2/19 What is the value of (-28)/210 + (-336)/(-1170)? 2/13 (3 - 3)/(18/6) 0 Evaluate 3/(-2)*(-64)/120. 4/5 What is 4 - ((-7)/(-21))/((-2)/(-36))? -2 Calculate (-308)/49 + 0 + 6. -2/7 (5 - 6)/(3/2 + -1) -2 Calculate -1*(50/56 + 90/(-120)). -1/7 (-2)/15 + -86*(-5)/(-150) -3 What is (-72)/33 - 10/(-5)? -2/11 What is the value of 2/6*0/15? 0 What is (-44)/(-264) - 19/6? -3 Calculate (-6 - -3)/((-15)/2). 2/5 What is (-114)/210 - 2/(-5)? -1/7 Evaluate (72/(-252))/(2/(-28)). 4 What is the value of (-24)/8*(-4)/(-78)? -2/13 Calculate ((-9)/18)/((-1)/(-6)). -3 -5 - 40/(25/(-5)) 3 Evaluate 30/3 + -2 - (7 + -2). 3 (3/(-12)*2)/(15/10) -1/3 What is -7*(-4)/2772*-9? -1/11 ((-2)/(-4))/((-13)/78) -3 Evaluate (-7 - (-5 + 4)) + (-188)/(-32). -1/8 Evaluate 28/45 + (-20)/50. 2/9 What is 4/(-7)*(-420)/60? 4 Calculate 5 - (11/9 - (-22)/(-99)). 4 What is 5 - ((-78)/(-12) + -2)? 1/2 What is (-63)/(-14) + -6 + 4? 5/2 (-3 - (-35)/21)/(-2) 2/3 Calculate -1 + 2 + 4 + (-1085)/210. -1/6 Evaluate (55/(-25) + 3)*(-7 - -2). -4 What is the value of ((-20)/2)/(1/(3/6))? -5 What is the value of (21/210)/(1/20)? 2 Calculate 1/((-9)/57) + (-2)/(-6). -6 -2 + 1*84/54 -4/9 What is ((-6)/(-3))/((6/4)/3)? 4 (20/70)/(5/(-105)) -6 Evaluate (-49)/14 + 4 - (1 + -1). 1/2 Evaluate (-14)/(-21) + 94/18 - 6. -1/9 What is the value of (128/(-96))/((-4)/15)? 5 What is the value of (-10)/175*5*1? -2/7 2/7 + 2/(-14)*0 2/7 Evaluate 5 + 2 + -8 - 5/(-3). 2/3 What is the value of ((-14 - -14)/(-4 - -1))/1? 0 (-66)/(-88)*8/(-6) -1 Calculate (1/(-15))/(6/(-10) - 0). 1/9 Evaluate 2/9 + (-1)/((-27)/(-114)). -4 Evaluate (-6)/198*(-7)/(-14)*-12. 2/11 (-3)/((-135)/(-231)) + (-90)/(-18) -2/15 Calculate 63/(35/5)*2/(-6). -3 Calculate 1/(-6) - (-35)/(-14) - -4. 4/3 What is the value of (-52 - -61) + 26/(-3)? 1/3 What is -2 + (6 - 1) + 16 + -14? 5 What is the value of (3 - 1)*15/(-6)? -5 What is (-3)/(-18) + (-9 - 979/(-66))? 6 What is (-2)/7 + (-162)/756? -1/2 What is the value of -3 - (345/(-25) - -10)? 4/5 Calculate 8*(2 + 142/(-72)). 2/9 Evaluate 32 + -36 - (0 + -9). 5 What is the value of (-2 - 1 - 17)*(-64)/(-256)? -5 Evaluate (4/(-6))/((-18)/27). 1 What is the value of ((-5)/(-20)*1)/(18/(-24))? -1/3 What is 2 - ((-35)/(-25) - -1)? -2/5 What is ((-38)/(-152))/((-10)/(-32))? 4/5 Evaluate -1 + -22*(-1)/16. 3/8 ((-34)/(-9) - 4)/(42/(-18)) 2/21 What is the value of -1 + (-4)/(-18) + 5/180? -3/4 -1*5/2 - 2/(-4) -2 Evaluate 0 - (19/6 + -3). -1/6 18/72 - 1/4 0 What is the value of -5 + 24/3*1? 3 Evaluate (124/(-31))/(-3 - 20/(-8)). 8 (-2 - 0/(-3))/((-130)/39) 3/5 Calculate (12/9 + 1168/(-768))*2. -3/8 What is (-4)/18 + (210/(-27) - -8)? 0 (-2)/12 + 0 + 100/24 4 Calculate (3*-1)/(25/(-50)). 6 Evaluate 4/(-10) + 72/135. 2/15 Calculate (75 + -74)/(34/(-4)). -2/17 What is the value of (0/(-2))/(-11 + (-36)/(-4))? 0 Calculate (2 - 9)/((-5)/5 - 0). 7 What is the value of 2/5 - (-126)/(-240)? -1/8 Evaluate -5*10/1050*-3*2. 2/7 What is 1353/(-369) - (-8)/(-6)? -5 What is the value of (6 - 1) + 37/((-333)/(-36))? 9 ((-4)/(-5) - 1)/(66/(-220)) 2/3 Evaluate (0 - 6) + (-294)/(-35) + -2. 2/5 1 + 0 - (-17 + 18) 0 What is the value of (66/44)/((-3)/(-10))? 5 What is (-4 - 39/(-10))/(9/54)? -3/5 What is the value of (3 - (-18)/(-4))*(-3)/(-27)? -1/6 Calculate 132/(-30) - -5 - (-473)/(-55). -8 Evaluate 1*(5 - (-81)/(-18)). 1/2 What is 8/12 - 0 - (-22)/(-132)? 1/2 Calculate (48/(-30))/(36/(-45)). 2 Calculate (-9)/12*24/63. -2/7 665/(-228) + (-32)/(-12) -1/4 (1611/(-135) + 12)*-6 -2/5 Calculate -3*4/(-18)*(-97 + 91). -4 Calculate 0/((-4)/((-1)/(-1 + 0))). 0 Calculate (-8)/(-7 + 3) - (-8)/(-2). -2 Calculate ((264/252)/11)/((-1)/(-3)). 2/7 What is the value of (2/(-6))/((-25)/(-225))? -3 C
{ "pile_set_name": "DM Mathematics" }
45. Suppose -5*k + 6 = 41. Is g(k) prime? False Is 29*4953 + 700/50 a prime number? True Let c = 409 + -475. Is (-8)/44 - 877218/c a prime number? True Suppose 30*h + 19975 = 35*h. Let n = 6808 - h. Is n a composite number? True Suppose q = 6*q - 80. Suppose 9*a - q = 11*a. Let t(k) = 6*k**2 - 12*k - 17. Is t(a) prime? True Let b = 931 - 922. Suppose 3*y + 0*y = -18. Is (-6)/b - 4408/y prime? False Suppose -9*x + 23251 = -413519. Suppose 0 = 5*p - 40765 - x. Is p a composite number? True Let d = 592 - 1082. Let j = d + 963. Is j a composite number? True Suppose 1317 = 3*r - 3*g, 5*r + 5*g - 1174 = 991. Let p be 1/(5/35)*r. Suppose 3*t + 6 - 21 = 0, 5*t - p = -3*f. Is f a composite number? False Suppose -i - 12 + 14 = 0. Let n be i + (2 - 1)*-1. Let m(c) = 1113*c**2 - 3*c + 1. Is m(n) composite? True Let k = -31 - -31. Suppose k = -4*y - u - 1, 0*y - 2*u = -y - 7. Is (y - -88)*(4 + -3) a prime number? False Suppose -30 = -0*u - 5*u. Suppose -59 + 12977 = u*c. Is c prime? True Suppose 23*g - 4696035 - 6586841 + 2565669 = 0. Is g a composite number? False Let j(x) be the second derivative of x**6/180 + 11*x**5/120 + 7*x**4/6 - 25*x**3/6 + 5*x. Let y(k) be the second derivative of j(k). Is y(-9) prime? False Suppose -364*j + 337*j = -8049321. Is j a prime number? False Let l = -624 - -629. Suppose 5*k = -l*c + 2690, -3*k = 3*c - 4*c + 550. Is c prime? True Suppose 82*d - 353071 = 5086563. Is d a prime number? True Let z be (-1490 - -2*5/15)*-18. Is (z/(-36))/(2/(-9)) a prime number? False Suppose 79560 = 13*d - 8021. Is d prime? True Let u(g) = -4*g**3 - g**2 - 11*g + 13. Let l be (24*(-4)/(-32)*4)/(-2). Is u(l) composite? False Let f(a) = 283*a - 134. Let k(h) = h**3 + 19*h**2 + 33*h + 10. Let s be k(-17). Is f(s) a prime number? True Let w = 6863 - -15108. Is w a prime number? False Let r be (-3*13/3)/(-1). Suppose 2*y + r = -2*y - 5*c, 4*y = -3*c - 3. Is (-4600 - y - 6)*(0 - 1) prime? False Suppose -2 = p, 3*p - 4*p = 4*q - 58. Suppose -4*c - 547 = 3*x, -3*x = -0*x + q. Let w = c + 226. Is w a prime number? False Suppose -52*p + 51*p - 6 = 0. Is -658*(-385)/176 - p/(-16) prime? True Let i = -191405 + 387252. Is i composite? True Let q = -42585 - -73138. Is q prime? True Suppose -2*d + 4*n - 96 = 124, 388 = -4*d - 5*n. Is (-2)/(d/62163) + (-8)/(-68) a composite number? True Suppose 0 = 10*z - 3*z + 7028. Let f = -421 - z. Suppose -2*a + 2199 = 3*l, 3*a - f = -l + 157. Is l composite? True Let k be ((-2094)/18 + 1)*3. Let a = -120 - k. Is a prime? False Is (1 + -7044)/((-117)/819) prime? False Suppose -18 = 3*a, 618*p + 3*a = 613*p + 736492. Is p composite? True Let k be (22473 - (-2 + 4)) + -6. Suppose k = 75*g - 70*g. Is g a prime number? True Suppose -10*h - 15 = -7*h, j - 3*h = 26929. Is j composite? True Let i = 683 - 683. Suppose -y = 4*l - 6595, y - 4*l - 6603 = -i*y. Is y composite? False Let r = 66650 + -9321. Is r prime? True Let h = 102788 - 60679. Is h prime? False Suppose -2*y - i + 178647 = 0, -6*y + 5*y - 8*i = -89361. Is y a prime number? False Suppose 0 = 3*h + d - 57792 - 53052, -5*h - 3*d + 184736 = 0. Is h a prime number? False Let t(b) = -2*b**3 + 8*b**2 + 5*b - 17. Let v be t(4). Suppose 6508 = v*f + 5*q, -8*f + 13*f - q = 10800. Is f a prime number? True Let x be (-24)/(-9)*-6*(-2)/16. Suppose -s + 14585 = x*h, 5*s - 81921 = -4*h - 9008. Is s a composite number? True Suppose -2556046 = -29*k + 1973551. Is k a composite number? True Let l(x) = 1084*x**3 + x**2 - 2*x - 2. Let c be l(-1). Let h = -580 - c. Is h prime? True Let t(j) = -j**3 + 5*j**2 + 13*j - 20. Let a(s) = 5*s**2 + 3*s - 2. Let y be a(1). Let k be t(y). Suppose -k*f - 331 = -23*f. Is f prime? True Let i(r) = r - 6. Let u be i(8). Let m(b) = 591*b**3 + 7*b**2 + 6 + 2 - 11*b - 7. Is m(u) a composite number? True Suppose -n + 721798 = -3*j, n - 721793 = -96*j + 98*j. Is n a composite number? False Is (-110)/(20/(-2)) - -81186 prime? True Let l = -104 + 118. Suppose l*m = 20*m - 3846. Is m composite? False Let z = -160331 + 314700. Is z a composite number? False Let n = 18 + -15. Let w be 1/1 + -1 - n. Is w - (-1016)/4*1 composite? False Let o be (1 + 0)/((-8)/(-104)) + -3. Suppose 4*l - 3*f + 33 = -3, -l = -f + o. Is 5/((-50)/8)*5595/l a prime number? False Suppose -g = -3*w - 15, -4*g = -3*g. Let a(u) = 3 + 2*u + 7*u + u**2 - 15 - u**3. Is a(w) a prime number? False Let t = -1 - -6. Suppose 0 = 3*z - 15, t*z - 17 = -a + 5. Is ((-5045)/30*-2)/((-1)/a) composite? False Let n(g) = 31290*g + 11227. Is n(5) a prime number? True Let w = -20222 - -32708. Suppose 6*l - w = -0*l. Is l a composite number? False Let n = 65 - 60. Let v = 362 + n. Is v composite? False Is (((-1096886)/(-6))/1 + 124/(-93))*1 a prime number? True Is (-749150)/(-1) + 1 - 0 - (-283 + 287) prime? False Let v(i) = 4*i + 53. Let j be v(-13). Is ((-1 - -5)/4)/(j/5269) a composite number? True Let t = 7432 + 30708. Suppose -7694 = -6*r + t. Is r composite? False Is (-14356010)/(-130) - (-34)/221 a prime number? True Let k = 16 - 23. Let n be 0/k*(-2)/4. Suppose 1440 = 3*i + 3*q, q + n*q = -4*i + 1917. Is i a composite number? False Suppose 0 = -15*t + 17*t - 34. Suppose -407269 = -34*g + t*g. Is g a composite number? False Let k(s) = 4387*s**2 + 4*s + 4. Let b be k(-1). Let i(o) = -4352*o + 13 - 45 + b*o. Is i(7) composite? True Let q(c) = 7947*c - 218. Is q(1) prime? False Suppose 3*r = 4*r + 2*g + 7139, 7143 = -r - g. Let a = -2876 - r. Is a a prime number? True Suppose 1571296 = 4*h + 3*q, 13*h - q = 17*h - 1571304. Is h a composite number? False Is ((7 - 1)/(-12))/((-3)/507774) prime? True Let t(k) = 15*k**2 + 188*k - 68. Is t(-49) a prime number? False Suppose -6*p - 42*p - 4355154 = -102*p. Is p a prime number? True Let o(v) = 1522*v**2 - 147*v - 609. Is o(-4) a prime number? False Let y = 39 - 49. Let d be -227 + (-4)/(y/5). Let k = d - -559. Is k a composite number? True Let c(w) = 14*w**2 + 75*w + 932. Is c(-21) prime? True Let w(l) = 3906*l**2 - 347*l - 43. Is w(-10) prime? False Suppose 0 = -f - m - 27 + 51, 0 = -5*m. Suppose -f*x = 25365 - 125253. Is x composite? True Suppose 2*g = 4*t - 929322, 2*t - 2*g - 464665 = -5*g. Is t a prime number? False Let r be (-2 - 0) + 22 + 2417. Let t = r - 1292. Is t a composite number? True Suppose 3*h + 663727 = 2*j, -19*j - 663752 = -21*j - 2*h. Is j a prime number? True Suppose -5*u = -10 - 5. Suppose 3*x + 4*p - 12 = 0, -p = u*x - 6*p + 15. Suppose x = 4*l - 4*y - 4836, -l + 6033 = 4*l - 2*y. Is l prime? False Suppose -3*i + 2*i - 1 = 0. Let a be i*(1 - -1) + (7 - -2952). Suppose -4*k + a + 647 = 0. Is k a composite number? True Let c = 175089 + -95608. Is c composite? False Let d(a) = 137*a**2 - 2*a + 5. Let b be d(5). Suppose 8*t + 28 = 15*t. Is (b/(-8) - 2)*t/(-2) a composite number? False Let p(n) = -n**3 + 24*n**2 + 2*n - 51. Let l be p(24). Is 15474 - 5*4/(-12)*l composite? True Let l(g) = -36895*g + 2319. Is l(-4) a prime number? True Let z(c) = -24335*c - 3146. Is z(-5) a prime number? True Let m be (2 + (0 - 1))*4/(-2). Is ((-519)/12 - 0)/(m/776) a composite number? True Suppose -3*i - 644 = 289. Let z = -255 - 377. Let t = i - z. Is t a prime number? False Suppose -43*c = -46*c + 15. Let k(u) = 133*u**2 + 22*u - 92. Is k(c) a composite number? False Let i be -15 + -2*2/1. Let g = 34 + i. Let n(u) = u**3 - 10*u**2 - 18*u + 14. Is n(g) a prime number? False Let v(m) = -m**2 - 12*m + 67. Let p be v(-16). Is 402*3 - p/(-6)*2 a prime number? False Let q = 10853 - -100508. Suppose 12*c - 115355 - q = 0. Is c prime? False Suppose -3*h = 3*q - 50397, -2*h + 33578 = 42*q - 45*q. Is h composite? True Let j(z) = -z**2 + 42*z + 135. Let k be j(45). Suppose k = -2*m - 347 + 8485. Is m a composite number? True Let w(s) = 104*s - 6. Suppose -15*h + 12*h = 27. Let u(r) = 52*r - 3. Let a(l) = h*u(l) + 4*w(l). Is a(-17) prime? True Suppose -5*z + 6 = -19. Suppose z*u - 13969 = 3996. Is u a composite number? False Let f(g) = g**2 + 3*g - 13. Let s be f(3). Suppose s*u - 5*j - 8015 = 0, 11*j = 2*u + 10*j - 3206. Is u composite? True Let b(a) be the third derivative of a**6/120 - 3*a**5/20 - a**4/4 + 11*a**3/6 + 5*a**2. Suppose -5*o = 5*m - 3*o - 50, -4*m = 2*o - 38. Is b(m) prime? False Suppose -20*f + 105 = 15*f. Let t(z) = 3368*z**2 - 5*z - 4. Is t(f)
{ "pile_set_name": "DM Mathematics" }
*o, 4*b + 0*b - 4*o - 24 = 0. What is the remainder when m is divided by b? 7 Let t(a) = a**2 - 4*a + 5. Let q be t(4). Suppose 4*j + 4*m = 80, 9*m + 150 = q*j + 4*m. Calculate the remainder when j is divided by 13. 12 Let j = -6 - -6. Suppose -2*p - p + 9 = j. Calculate the remainder when 37 is divided by p/(3/2) + 11. 11 Suppose 63 = 5*n - p - 33, 3*p - 52 = -2*n. Suppose -2*a + a = -99. Suppose -a = -3*q + 15. What is the remainder when q is divided by n? 18 Suppose 0 = 110*z - 105*z - 105. Calculate the remainder when 80 is divided by z. 17 Suppose 5*g + 0*g - 4 = -3*a, 18 = 4*g - 5*a. Calculate the remainder when 13 is divided by g. 1 Suppose 2*y - 50 = 4*q, 16 = 2*q + 2*q. Suppose -5*l = 4*i - 206, -i - 5*l + y = -11. Calculate the remainder when i is divided by 14. 12 Let d = 153 + -114. What is the remainder when d is divided by 14? 11 Suppose 5*h - 3*i + 2 = 0, -5*i + 3*i = 4*h - 16. Calculate the remainder when h is divided by 2. 0 Suppose -8*g = -4*g - 2*m - 116, 2*m = -8. Let a = g - 75. What is the remainder when (5/3 + -3)*a is divided by 22? 20 Let y(g) = g + 69. Let n be y(0). Let d = 10 - 45. Let j = d + n. What is the remainder when j is divided by 12? 10 Let x(s) = s**3 + 13*s**2 - 3*s - 31. Let q(k) = k**2 + k + 3. Calculate the remainder when q(-5) is divided by x(-13). 7 Let g(v) = -3*v - 2. Let t be g(-3). Suppose 5*k - 38 - t = 0. What is the remainder when 35 is divided by k? 8 Suppose 2*p - 4*k = 22 + 8, 3*k + 3 = 0. Let h = p + -8. Let d(f) = -f**2 - 11*f + 4. What is the remainder when d(-10) is divided by h? 4 Suppose 3*o = 77 - 224. Let w = -33 - o. What is the remainder when w is divided by 6? 4 Let l = -54 + 69. Suppose -u + 62 + 57 = 0. Suppose 3*m = u + 7. What is the remainder when m is divided by l? 12 Suppose 0*k = -4*k - 12. Let m = -2 - k. Calculate the remainder when m is divided by 1. 0 Let l = 46 - 34. Calculate the remainder when l is divided by 3. 0 Let y = 26 - 16. Suppose 0 = 4*g - 17 - 7. What is the remainder when y is divided by g? 4 Let v(c) be the first derivative of -1 - 5/2*c**2 - 4*c + 1/3*c**3. Calculate the remainder when v(-4) is divided by 11. 10 Let n = 59 + -49. Calculate the remainder when 47 is divided by n. 7 Let a = 5 - 1. Suppose -2*m = -a*m + 84. Calculate the remainder when m is divided by 11. 9 Suppose -7*j + 2*j + 229 = 4*d, -2*j = -5*d + 245. What is the remainder when d is divided by 18? 15 Let a be (4 - 8)*(-2)/4. Let z(y) = y**3 + 4*y - 3. Calculate the remainder when z(a) is divided by 4. 1 Let g = 21 + -9. Suppose v = 3*v - 70. Calculate the remainder when v is divided by g. 11 Suppose -2*a + 28 = 6. What is the remainder when a is divided by (-57)/(-9) - 2/6? 5 Suppose -4*r - 3 - 73 = 0. Let u = 75 + r. What is the remainder when u is divided by 15? 11 Let r = 21 - 15. Let n = r - 3. What is the remainder when (-76)/(-16) - (-1)/4 is divided by n? 2 Let y = -232 - -399. Calculate the remainder when y is divided by 42. 41 Let w = -16 + 33. Calculate the remainder when w is divided by 4. 1 Let r(h) = 3*h - 9. What is the remainder when 7 is divided by r(5)? 1 What is the remainder when (-3)/((-384)/(-129) + -3) is divided by 26? 25 Suppose p = 2*i - 5*i + 14, -i - 7 = -2*p. What is the remainder when i is divided by 2/(-5) + 7/5? 0 What is the remainder when (0 - (3 - 4))*(-2 - -163) is divided by 15? 11 Suppose -5*x - 69 = -299. Let a = 33 - 17. What is the remainder when x is divided by a? 14 Let y(j) = -7*j**2 - 28*j + 4. What is the remainder when 9 is divided by y(-4)? 1 Let f be -2*2/(-8)*2. What is the remainder when 17 is divided by -6*f/10*-10? 5 Let r(l) = -2*l + 1. Let a = -112 - -128. What is the remainder when a is divided by r(-4)? 7 Suppose -m + 410 = 4*m. Calculate the remainder when m is divided by 21. 19 Suppose -17 = -v - 1. Suppose 8*h = 3*h + 155. What is the remainder when h is divided by v? 15 Let v(h) be the second derivative of -2*h**3/3 + 3*h. Calculate the remainder when 7 is divided by v(-1). 3 Let f = 4 - 7. Let l be 4/(3/f) + 2. Calculate the remainder when 31 is divided by l/(-8) + 43/4. 9 Let y(j) = j**3 + 7*j**2 - 4. Let c be y(-6). Suppose n - c = -n. What is the remainder when 31 is divided by n? 15 Let d = -25 - -39. Calculate the remainder when 41 is divided by d. 13 Let z = -61 + 75. Let l(p) be the first derivative of -p**3/3 + 7*p**2/2 + 2*p - 2. Calculate the remainder when z is divided by l(6). 6 Suppose -2*i = 4*j + i - 3, 2*j + 4*i = 4. Let t = j + 13. Let p = 11 + -4. Calculate the remainder when t is divided by p. 6 Let y = 18 - -17. Suppose -g + 2*g - 18 = 0. Calculate the remainder when y is divided by g. 17 Suppose 7 + 7 = m. What is the remainder when 54 is divided by m? 12 Suppose 2*d - 5*d + 93 = 4*j, 95 = 4*j + d. What is the remainder when j is divided by (9/(-6) - 0)*-6? 6 Let s(k) = 11*k**2 - 3*k - 1. What is the remainder when s(-1) is divided by 6? 1 Let o(k) = 5*k**2 - k - 1. Let h be o(3). Suppose -5*w = -h - 69. Let m(i) = -7*i + 1. What is the remainder when w is divided by m(-1)? 6 Let l = 48 + -28. Let b = l - 13. What is the remainder when b is divided by 4? 3 Let g = -9 - -3. Let w = 84 - 81. Calculate the remainder when (0 - 8/g)*6 is divided by w. 2 Suppose 3*o + 505 = 3412. Let g = -560 + o. Suppose 4*w - g + 165 = 0. Calculate the remainder when w is divided by 16. 13 What is the remainder when 69 is divided by -2 + 22 + 4/1? 21 Let u be ((-3)/(3/2))/2. Let i be (-24)/(-10)*(49 - u). Suppose -48 = 3*b - i. Calculate the remainder when b is divided by 13. 11 Suppose -q + 46 = q. Suppose 0*k + 3*k = -9. Let p(f) = -f**3 - 3*f**2 - 4*f. What is the remainder when q is divided by p(k)? 11 Calculate the remainder when 0 + 2*25/2 is divided by ((-39)/(-9) + -2)/((-5)/(-15)). 4 Suppose 0 = -5*u - 19 - 1. What is the remainder when (0 - 2)/(4/(-28)) is divided by 37/7 - u/(-14)? 4 Let u(x) = x**3 - 2*x**2 - x + 3. Let f be 3/(9/(-6)) - -5. What is the remainder when u(f) is divided by 4? 1 Suppose 0*w - 12 = 4*i + w, 2 = -3*i + w. Let p be (-2)/((i/(-2))/1). Calculate the remainder when (p + 2 + -1)*-3 is divided by 2. 1 Suppose -5*z + 17 = -208. Calculate the remainder when z is divided by 12. 9 Suppose 0 = 2*h + 6 + 4. Let y = 2 - h. Calculate the remainder when 12 is divided by y. 5 Suppose 257 = 5*q + 67. Suppose 3*t + q - 107 = 0. Calculate the remainder when t is divided by 12. 11 Suppose -2*n = 2*f - 22, 3*f - 3*n + 5 = 26. Let z(a) = -a**2 - 3*a + 2. Let s be z(-3). Suppose -s*m = -0*m - 32. What is the remainder when m is divided by f? 7 Let a be 1 + -2 + (2 - -1). Suppose -9 = a*q - 15. Let b = 7 + -2. What is the remainder when b is divided by q? 2 Let f = 7 + 1. Calculate the remainder when (1 - 3)*(2 + (-105)/6) is divided by f. 7 Suppose -1 = -3*w + 2*n + 1, -3*n + 8 = w. Suppose w*m - 100 = -0*m. Let p = m - 22. Calculate the remainder when p is divided by 15. 13 Let t(g) = g - 1. Let w(v) = -v**3 - 3*v - 2. Let x(m) = 4*t(m) + w(m). Let y be x(0). What is the remainder when 23 is divided by -16*(21/y + 3)? 7 Calculate the remainder when (-5)/(50/8)*-55 is divided by 15. 14 Suppose 4*b - 5*o + 23 = 2*b, -b + 4*o - 19 = 0. Let f = -16 + 17. Calculate the remainder when f is divided by b. 0 Suppose 3*v - 10 = v. Suppose -2*t + 42 = t. Suppose t = -2*a + 40. What is the remainder when a is divided by v? 3 Let a(g) = -g - 15. Let t be a(-7). What is the remainder when (5/2)/((-4)/t) is divided by 2? 1 Let t(h) = h + 5. Calculate the remainder when t(9) is divided by 9. 5 Suppose 5*q - 3*d = 283, -3*q + 0*q + 3*d = -171. Suppose v - 5*v = -q. What is the remainder when v is divided by ((-5)/10)/(2/(-32))? 6 Let z(w) = 2*w - 2. Let p be z(5). Suppose -c + 2*c = -d + 43, 0 = -4*d + p. What is the remainder when c is divided by 11? 8 Let q = 193 + -180. What is the remainder when q is divided by 9? 4 Let d = -20 - -53. Suppose 480 = 5*c + 5*i, c - 3*i = 2*i + 96. Calculate the remainder when c is divided by d. 30 Let t(d) = 3*d**2 - 1. Suppose 5 + 7 = 4*u. Calculate the remainder when u is divided by t(1). 1 Let n = 1 + 4. Suppose -4*q + 80 = -4*z, -n*q + z + 2*z + 104 = 0. Suppose -2*g - 8 = -24. Calculate the remainder when q is divided by g. 6 Suppose -3*l + 16 - 4 = 0. Suppose 2*f - l - 6 = 0.
{ "pile_set_name": "DM Mathematics" }
acement from udyudv. 1/60 Calculate prob of sequence kc when two letters picked without replacement from {c: 4, t: 2, j: 1, k: 1}. 1/14 Calculate prob of sequence joj when three letters picked without replacement from oojbojjojojjbjjjjeww. 5/76 Four letters picked without replacement from {i: 4, d: 2, h: 3, m: 2}. Give prob of sequence imhi. 1/110 Two letters picked without replacement from cdlglycgooggdoglgcg. What is prob of sequence oy? 1/114 Four letters picked without replacement from {q: 7, i: 5}. What is prob of sequence qiiq? 7/99 Three letters picked without replacement from lssslllsslsl. What is prob of sequence lss? 3/22 Three letters picked without replacement from {z: 12, w: 6}. What is prob of sequence wzw? 5/68 Four letters picked without replacement from yysarrdayra. Give prob of sequence yysd. 1/1320 Two letters picked without replacement from {e: 2, b: 2}. What is prob of sequence ee? 1/6 Four letters picked without replacement from sotssossotoct. What is prob of sequence oooo? 1/715 Four letters picked without replacement from {j: 2, e: 6, f: 2, m: 1, b: 1}. Give prob of sequence bfjf. 1/2970 Two letters picked without replacement from zcozzctzcccocnoozz. Give prob of sequence nc. 1/51 Four letters picked without replacement from pgvnvbqvnpng. What is prob of sequence gnvb? 1/660 Two letters picked without replacement from osoaousasozu. What is prob of sequence uz? 1/66 Four letters picked without replacement from {c: 7, n: 2}. What is prob of sequence cnnc? 1/36 Calculate prob of sequence ll when two letters picked without replacement from {l: 2, x: 4, j: 4}. 1/45 Two letters picked without replacement from zeeuueeucgae. Give prob of sequence zu. 1/44 What is prob of sequence wuu when three letters picked without replacement from {w: 2, i: 2, a: 2, u: 13, o: 1}? 13/285 Four letters picked without replacement from {m: 7, k: 12}. Give prob of sequence mmmk. 35/1292 Four letters picked without replacement from bbhbbbbbbhbbbhbbbb. What is prob of sequence hbbb? 91/816 Calculate prob of sequence vvtv when four letters picked without replacement from {v: 4, t: 7}. 7/330 Two letters picked without replacement from vaayvvvwqqyuvuvuqvqu. What is prob of sequence vv? 21/190 Four letters picked without replacement from {c: 2, f: 4, h: 2, v: 3}. What is prob of sequence fffv? 1/110 Calculate prob of sequence tp when two letters picked without replacement from {f: 1, p: 4, t: 3}. 3/14 Three letters picked without replacement from xgrikgmrimmxmxmxixm. What is prob of sequence ggi? 1/969 Three letters picked without replacement from {x: 1, r: 1, v: 1, l: 2, g: 1, k: 1}. What is prob of sequence rkx? 1/210 What is prob of sequence yrf when three letters picked without replacement from {k: 1, u: 3, f: 4, r: 2, g: 1, y: 4}? 16/1365 What is prob of sequence bp when two letters picked without replacement from pbpp? 1/4 Calculate prob of sequence ic when two letters picked without replacement from iziiizzyrccizzcirz. 1/17 Calculate prob of sequence xex when three letters picked without replacement from {f: 1, e: 2, x: 1, u: 1}. 0 What is prob of sequence vv when two letters picked without replacement from qvvavvqqqvv? 3/11 Two letters picked without replacement from {h: 1, v: 6, e: 2, j: 7, n: 1}. Give prob of sequence nv. 3/136 Three letters picked without replacement from {u: 1, g: 1, t: 1, f: 1, n: 1}. Give prob of sequence gnu. 1/60 Three letters picked without replacement from nvgrpff. Give prob of sequence vpf. 1/105 Two letters picked without replacement from zzbbwzzzbxbxxbzz. What is prob of sequence wz? 7/240 Two letters picked without replacement from {p: 2, u: 6}. Give prob of sequence pp. 1/28 Four letters picked without replacement from {e: 1, k: 1, l: 2, g: 1, m: 1, o: 2}. Give prob of sequence okme. 1/840 What is prob of sequence cjc when three letters picked without replacement from {a: 2, c: 3, r: 10, j: 3}? 1/272 Calculate prob of sequence uuuo when four letters picked without replacement from uuuouuuouuouuuuu. 33/280 Three letters picked without replacement from {u: 6, h: 4, x: 1}. Give prob of sequence xhh. 2/165 Two letters picked without replacement from {r: 1, s: 1, g: 2, y: 4}. Give prob of sequence sr. 1/56 Four letters picked without replacement from fbbsbbwfbfzbf. What is prob of sequence bwfs? 1/715 Calculate prob of sequence it when two letters picked without replacement from itrid. 1/10 Four letters picked without replacement from uckqcht. Give prob of sequence cqtc. 1/420 Two letters picked without replacement from vfvafppggfvaggagvg. What is prob of sequence gf? 1/17 Two letters picked without replacement from {v: 4, o: 5, d: 5, s: 6}. Give prob of sequence dv. 1/19 Three letters picked without replacement from ppipopiiooiippwio. Give prob of sequence pii. 3/68 Calculate prob of sequence ym when two letters picked without replacement from {b: 3, c: 5, i: 3, y: 1, m: 3}. 1/70 What is prob of sequence vf when two letters picked without replacement from vfzvqvfzvvfzv? 3/26 Four letters picked without replacement from yuchcumummc. Give prob of sequence muuu. 1/440 Three letters picked without replacement from {x: 2, m: 2, k: 2}. What is prob of sequence xxk? 1/30 What is prob of sequence hggg when four letters picked without replacement from hhggghhghhhggggghggh? 99/1292 Calculate prob of sequence hqqw when four letters picked without replacement from {q: 2, a: 1, c: 3, h: 1, w: 5, d: 3}. 1/3276 Four letters picked without replacement from {o: 1, e: 1, a: 2, q: 6, n: 10}. What is prob of sequence aoqa? 1/9690 Four letters picked without replacement from {a: 6, u: 2, t: 2, k: 3, n: 4}. What is prob of sequence uaut? 1/2380 Two letters picked without replacement from {x: 11, p: 5}. Give prob of sequence xp. 11/48 Four letters picked without replacement from cvcjffrrjfvuff. Give prob of sequence frcj. 5/3003 What is prob of sequence vrj when three letters picked without replacement from nrjvffm? 1/210 What is prob of sequence iii when three letters picked without replacement from iiiiuuuuiuuiuuiuii? 7/68 What is prob of sequence rr when two letters picked without replacement from {x: 5, g: 3, r: 4, u: 7}? 2/57 Three letters picked without replacement from {n: 2, y: 9}. Give prob of sequence ynn. 1/55 Calculate prob of sequence br when two letters picked without replacement from brrsrsrrbsb. 3/22 Three letters picked without replacement from {u: 2, x: 1, w: 3, r: 4, h: 1}. What is prob of sequence wuu? 1/165 Three letters picked without replacement from {i: 2, k: 1, p: 3, w: 8, t: 5}. What is prob of sequence wtp? 20/969 What is prob of sequence gkzf when four letters picked without replacement from {k: 3, g: 6, z: 4, f: 2}? 2/455 Four letters picked without replacement from {n: 1, c: 2, u: 2, p: 1, i: 5, s: 2}. What is prob of sequence nins? 0 Calculate prob of sequence mzcr when four letters picked without replacement from {m: 6, k: 1, z: 1, c: 2, r: 2}. 1/495 Two letters picked without replacement from nvssivsvvn. Give prob of sequence sn. 1/15 Two letters picked without replacement from {d: 2, m: 8}. Give prob of sequence mm. 28/45 What is prob of sequence fw when two letters picked without replacement from {f: 4, j: 2, y: 1, w: 3, m: 2}? 1/11 What is prob of sequence ss when two letters picked without replacement from {f: 2, s: 4, n: 4}? 2/15 What is prob of sequence kw when two letters picked without replacement from {k: 1, g: 3, b: 5, i: 4, w: 1}? 1/182 Three letters picked without replacement from hhhhhhhhhhhnhhhhhhh. Give prob of sequence hhh. 16/19 What is prob of sequence ry when two letters picked without replacement from {v: 3, y: 1, p: 2, r: 4, t: 4}? 2/91 What is prob of sequence nnn when three letters picked without replacement from {h: 1, u: 2, r: 1, w: 3, n: 3, o: 5}? 1/455 Four letters picked without replacement from afsagdauafaadaa. Give prob of sequence dasa. 2/585 Two letters picked without replacement from {b: 4, d: 5, j: 2, q: 2, x: 1, k: 1}. What is prob of sequence jx? 1/105 Calculate prob of sequence awww when four letters picked without replacement from {a: 4, v: 4, w: 3}. 1/330 Calculate prob of sequence akk when three letters picked without replacement from {a: 3, k: 1}. 0 Two letters p
{ "pile_set_name": "DM Mathematics" }
he units digit of b? 5 Let t(y) = 76*y + 20. Let j be t(-10). What is the tens digit of 1 - 7/(35/j)? 4 Suppose 3524 = -3*q + 3*m + 9932, 5*q + 3*m = 10688. What is the units digit of q? 7 Suppose 29*j - 2273 - 4397 = 0. What is the hundreds digit of j? 2 Let s(r) = 60*r**2 - 5*r + 39. What is the tens digit of s(6)? 6 Let k(b) = -b**3 - 9*b**2 + 10*b + 11. Let h be k(-10). Suppose -7 = r - h. Suppose -r*m + n = -154 - 129, -m = -4*n - 67. What is the tens digit of m? 7 Suppose -2*g - g + 861 = -3*j, -g = -2*j - 282. What is the tens digit of 4 + 0 + g/4? 7 What is the units digit of (-2)/((-2)/5) - -6? 1 Let n be (-36)/(-8)*-2*(-52)/6. Suppose -3*d + n = -21. What is the tens digit of d? 3 Suppose 0 = -4*f + 4 - 16. What is the hundreds digit of ((-26)/f)/((-6)/(-81))? 1 Suppose 4*l = 3*l + 2. Let v be ((-9)/l)/((-9)/12). Suppose -4*m = -82 - v. What is the units digit of m? 2 Suppose 2*s + 3*f - 968 = 0, 3*s - 1452 = 16*f - 12*f. What is the tens digit of s? 8 Suppose 0 = 3*t + 4*v - 22, 12*t + 90 = 17*t - 4*v. What is the tens digit of t? 1 Suppose -3*f = 6, 7*w - 4*f = 4*w - 37. Let a be (-815)/w*(-3)/(-1). Suppose 0 = -4*o + 5*x + 367 - 44, -2*o + 3*x + a = 0. What is the units digit of o? 7 Let w(p) = 6*p**2 + 43*p - 39. What is the units digit of w(-8)? 1 Let n be ((-33)/5)/(7/(-105)). Suppose 3*m - 3*s = 2*m + n, 5*m - s - 425 = 0. Suppose 0*u = 4*u - m. What is the tens digit of u? 2 Let f = 0 - 0. What is the tens digit of f + 65 + 4 - -2? 7 Suppose 3*c + 4 - 1 = 0. What is the tens digit of c + -2 - (2 + -42)? 3 Suppose -13*o + 3*o - 50 = 0. Let y(r) = -r**3 - r**2 + r - 4. What is the tens digit of y(o)? 9 Let o(b) = 2*b**2 + 5*b - 3. Let p be o(-2). What is the units digit of 28*(p + 11/2)? 4 Let f(z) = 5*z**2 + 21*z - 16 + z**3 + 9*z**2 + 44. What is the tens digit of f(-8)? 4 Let y = 39 - 41. What is the units digit of ((-3)/y)/((-3)/(-236))? 8 Let l(q) = 35*q**2 + 12*q + 17. What is the tens digit of l(-4)? 2 Suppose -35*s + 45470 = 8650. What is the hundreds digit of s? 0 Suppose -u = 5*d - 6*u - 20, 4*u + 9 = -3*d. Let b(v) = -12*v + 5. Let s be b(-5). Suppose -4*o = -s + d. What is the tens digit of o? 1 Suppose 0 = 3*u - 4*s + 5 + 6, 37 = 4*u + 5*s. Suppose -2*d = -7*d - u*t + 184, -3*d + 5*t + 90 = 0. What is the tens digit of d? 3 Suppose -2*b - 11*s = -6*s - 680, -2*b = -2*s - 666. What is the tens digit of b? 3 Let f = 372 + 358. What is the units digit of f? 0 Let n(l) = -2*l + 11. Let w be n(6). Let a(x) = -5*x + 5. What is the tens digit of a(w)? 1 Let b = -103 + 53. Let v = -3 - b. What is the units digit of v? 7 Let n(t) = 2*t + 3*t - 2*t + 1 + 10*t. What is the units digit of n(3)? 0 Let t(i) = i**3 - 15*i**2 - 50*i - 71. What is the hundreds digit of t(24)? 9 Suppose 22*f - 3275 = 7703. What is the units digit of f? 9 Let z = -29 - -315. What is the units digit of z? 6 Suppose 3*k - 141 = -k + 3*c, k - 36 = c. Let t = 5 + k. Suppose z = 3*z - t. What is the tens digit of z? 1 Let g(p) = -p**3 - 9*p**2 - 5*p + 6. Let b be g(-8). Let n be (-6)/3 - (b + 2). What is the tens digit of 7/(n/(-40))*-1? 2 Suppose 5 = 4*n + 61. Let w = -14 - n. What is the units digit of -2 - (-24)/1 - w? 2 Let l(z) = 2*z - 1. Let y(c) = -3*c. Let s(w) = -7*l(w) - 6*y(w). What is the units digit of s(12)? 5 Let m(n) = 25*n**2 + 4*n - 122. What is the hundreds digit of m(7)? 1 Suppose 0 = -9*j + 10*j - 595. What is the units digit of j? 5 Let y be (-10)/(-85) + 38/(-34). What is the units digit of (-9)/3 + y + 32? 8 Suppose 2*s + 0*s - 4 = 0. Let k(c) = -1 + s*c + 0 + 5. What is the units digit of k(2)? 8 Let x(a) = a - 10. Let n be x(8). What is the units digit of (2 - 0)/n*-1 + 3? 4 Suppose 3*y - 2*y - 21 = 0. Let l = -39 - -56. Suppose -y = -t + l. What is the units digit of t? 8 Suppose -a = -2*b - 23, -2*b + b = -5*a - 11. Let c be 7/(b/12) - 1. What is the tens digit of (-16)/(-3)*(-21)/c? 1 Let z be 26 - (132/(-30) + (-4)/(-10)). What is the units digit of (3/(z/(-905)))/((-2)/4)? 1 Suppose -1 = 12*q - 25. Suppose 0 = 4*i + 5*f - q*f - 836, -624 = -3*i - 3*f. What is the units digit of i? 2 Let k(r) = 8 + 5*r - r + 0*r. Let z be k(-4). Let q = z + 11. What is the units digit of q? 3 Suppose 2*o + 303*i - 10668 = 301*i, 4*i = -5*o + 26665. What is the hundreds digit of o? 3 Let o = 28 - 28. Suppose o = 30*f - 25*f - 1140. Suppose -4*c + f = -0*c. What is the tens digit of c? 5 Suppose -5*s + 2098 = -232. What is the hundreds digit of s? 4 Let n(s) be the first derivative of 11*s**5/60 - s**4/6 + 2*s**3/3 - 1. Let w(f) be the third derivative of n(f). What is the units digit of w(2)? 0 Suppose 11*p - 9*p - 5*m = 9255, 0 = 2*p - m - 9251. What is the thousands digit of p? 4 Suppose 4*t + 8 = 2*d, -6*t + t = 4*d + 23. Let j(i) = -2*i**2 + i. Let m be j(1). What is the units digit of m*((t - -4) + -8)? 7 Suppose -10 = -0*g + 2*g + 2*p, -g = 3*p + 9. Let o be 44 + -15 + 11 + -1 + 1. Let n = g + o. What is the units digit of n? 7 Let r be (-2)/4*-6 - (-44)/(-4). What is the tens digit of ((-30)/r)/((-66)/(-616))? 3 Suppose -n - 44 = 5*h, 4*n = 5*n + 3*h + 34. Let d be 4/2 - (n - -20). What is the tens digit of (-8)/(-4) + d - -68? 7 Let s(d) = d + 46. Let b be -8*(0 + (-3)/(-6)). Let r = b - -4. What is the units digit of s(r)? 6 Let o(y) = y**2 - 7*y - 8. Let h be o(6). What is the units digit of (2952/21)/2 + 4/h? 0 Let r = 6 + -3. Suppose -r*m = -2*g + 97, -4*g - 8*m + 3*m + 249 = 0. What is the units digit of g? 6 Let m be (2/(-2) - 0/4) + 3. What is the hundreds digit of m/(-7) - (-13221)/91? 1 Suppose -x + 1438 = 4*m, m + 157 - 1598 = -x. What is the hundreds digit of x? 4 Suppose v - 3*w - 5 = -4*w, 25 = 5*v - 5*w. Suppose 3*b = 3*p + 2*p - 16, 5*b = -v*p + 40. What is the units digit of b? 3 Let i = 13 + -8. Suppose 298 = i*o - 52. What is the units digit of o? 0 Let p(x) = 4*x + 83. What is the hundreds digit of p(29)? 1 Suppose -4*f - 5*q - 16 = -0*f, -3*f - q - 1 = 0. Suppose -74 = -o - 2*i, -4*i = -5*i - f. What is the units digit of o? 6 Let h(q) = 39*q + 5. Let g(k) = 38*k + 5. Let p(u) = 5*g(u) - 4*h(u). What is the tens digit of p(1)? 3 Let c be (-5)/((-20)/(-6))*8/(-3). Suppose -b + 915 = c*b. What is the units digit of b? 3 Let h be (3/(-9))/((-1)/18). Let r be h/1 - (3 + -1). Suppose 2 = w, -w = -3*b + r*w - 4. What is the units digit of b? 2 Suppose -4 + 46 = -2*b. Let t = 59 + b. Suppose 0 = 2*v - 3*v + t. What is the units digit of v? 8 Let z be 2*(1/2 - -2). Suppose -z*x = -9*x + 296. What is the tens digit of x? 7 Suppose 43 - 10 = -3*r. Let i = r + 22. Let g = i - -9. What is the tens digit of g? 2 Suppose 4698 = -76*d + 79*d. What is the units digit of d? 6 Suppose -7*g + 777 = -2*g - f, g - 153 = f. Let c = g + -84. What is the units digit of ((-4)/12)/((-4)/c)? 6 Let t = 1 + 0. Let l be (-22)/10 + (-8)/(-40). What is the units digit of t/2 + (-43)/l? 2 Let j = -8 + 2032. What is the hundreds digit of j? 0 What is the units digit of (-1)/((-2)/6*30/1460)? 6 Suppose -7 = x - 5*g, x - 28 = 5*x + g. What is the units digit of -1*-10*x/(-2)? 5 Suppose -k + 937 = -5*w, k - 958 = 7*w - 9*w. What is the tens digit of k? 5 Suppose -2*t + 4*w = -1966, 13 - 3 = -5*w. What is the units digit of t? 9 Let h(q) = -2*q**2 + 34. Let j(k) = k**3 + k**2 + k + 1. Let a be j(-1). What is the units digit of h(a)? 4 Let k be 15 - (-4)/12*-9. Let i be 6/k*(-28)/(-2). Suppose 184 - i = 3*g. What is the tens digit of g? 5 Let j(o) = 6*o - 1. Let v be j(4). Suppose r + 15 = -2*g, 4*g + 13 + 8 = r. Let w = v - g. What is the tens digit of w? 2 Let p = 157 - 147. What is the tens digit of p? 1 Let t(q) = -3*q**3 - 22*q**2 - 16*q - 1. What is the units digit of t(-9)? 8 Let k = 4 - 7. Let w be 3 + -2 + k - -1. What is the units digit of w/3 - 49/(-3)? 6 Let u = 1481 + -1031. What is the tens digit of u? 5 Let q be 1*2 + 20 + 3. Let h = q - 17. Let m(o) = -o + 18. What is the units digit of m(h)? 0 Suppose -m + 4*d = -92, 0*m - d = 4*m - 300. Suppose -s = 5*j - 317, j - 2*s - 2*s - m = 0. What is the units digit of j? 4 Let g(r) = r**2 + 5*r - 5. Let m be g(-5). Let u be 153/(-3)*m/(-3). Let b = u + 122. What is the tens digit of b? 3 Suppose -97*c = -102*c + 670. What is the hundreds digit of c? 1 Suppose 826 = 6*d - 3014. What is the h
{ "pile_set_name": "DM Mathematics" }
- 1294. Determine -14*c(p) - 5*v(p). -2*p - 1244 Let u(l) = -6*l**3 + 334*l**2 - 9*l + 6. Let p(o) = -7*o**3 + 342*o**2 - 11*o + 8. Give 4*p(a) - 5*u(a). 2*a**3 - 302*a**2 + a + 2 Let s(h) = -16349*h**3 - 124*h**2 - 37*h + 13. Let o(b) = 1362*b**3 + 10*b**2 + 3*b - 1. What is 25*o(v) + 2*s(v)? 1352*v**3 + 2*v**2 + v + 1 Let t(o) = 7*o**2 - 36*o + 8. Let b(s) = 8*s**2 - 47*s + 9. What is 3*b(y) - 4*t(y)? -4*y**2 + 3*y - 5 Let j(r) = 9*r**3 - 3*r**2 - 7*r. Let s(u) be the third derivative of u**6/120 - u**5/60 - u**4/24 + 82*u**2 + 14*u. What is j(b) - 6*s(b)? 3*b**3 + 3*b**2 - b Let r(w) = -40*w - 5. Suppose -4*p - 16 = 2*t, 3*p = -3*t - 45 + 39. Let z(b) = 81*b + 11. Calculate p*z(f) - 13*r(f). 34*f - 1 Let d(j) = -17*j**2 - 1214*j + 3. Let v(m) = -5*m**2 + 3*m + 1. Give d(h) - 3*v(h). -2*h**2 - 1223*h Let v(i) = 4*i**3 + i**2 - i + 1. Suppose -5*p = -2*p - 9. Let n(f) = -1 + 9*f + f**2 - 27*f + 2 + f**p + 11*f + 6*f. Give n(a) - v(a). -3*a**3 Let r(z) = 25*z + 4. Let q(i) = 60*i - 86. Let o(f) = 62*f - 105. Let a(h) = -5*o(h) + 6*q(h). What is 3*a(g) - 7*r(g)? -25*g - 1 Let q(d) = d**2 - d + 1. Let f(m) = 4*m - 17. Let n be f(4). Let z(k) be the first derivative of -6*k**3 + 9*k**2/2 - 9*k + 492. Give n*z(u) - 9*q(u). 9*u**2 Let u(t) = -6*t + 3. Let o(m) = 151*m + 141 - 139 - 156*m. Calculate -4*o(b) + 3*u(b). 2*b + 1 Let d(z) = 5*z**3 + 10*z**2 - 7*z - 12. Let x(i) = -4*i**3 - 6*i**2 + 4*i + 6. Give -3*d(g) - 5*x(g). 5*g**3 + g + 6 Let d(h) = -9*h + 7. Let m(v) = -14*v + 10. Let y be (35/(-20))/(6/(-24)). What is y*d(z) - 5*m(z)? 7*z - 1 Let i(y) = 8*y**3 - 8*y**2 + 5*y + 94. Let q(j) = 17*j**3 - 18*j**2 + 10*j + 182. What is -9*i(d) + 4*q(d)? -4*d**3 - 5*d - 118 Let y(b) = -7*b - 4. Let h(c) = -28*c - 16*c + 7 + 101*c - 26*c - 16*c. What is -6*h(w) - 10*y(w)? -20*w - 2 Let j(s) = 43*s**2 - 39*s + 2. Let x(v) = -30*v**2 + 25*v - 1. Give 5*j(o) + 8*x(o). -25*o**2 + 5*o + 2 Let t(l) = l + 87. Let o(u) = 2*u + 91. Calculate 2*o(c) - 3*t(c). c - 79 Let a(k) = -2194*k - 24. Let c(t) = -1101*t - 11. Calculate -6*a(b) + 13*c(b). -1149*b + 1 Let k(n) = 7*n**3 - 5*n + 7. Let m = 3399 - 3405. Let h(d) = -8*d**3 + 6*d - 8. What is m*k(f) - 5*h(f)? -2*f**3 - 2 Let o = 8129 - 8134. Let s(i) = -7*i**2 + 9*i - 13. Let l(u) = -6*u**2 + 8*u - 12. Calculate o*s(t) + 6*l(t). -t**2 + 3*t - 7 Let v be 13 - 24/6 - (-48)/(-6). Let l(a) = a - 1. Let g(m) = m**3 + 10*m**2 + 10*m + 11. Let o be g(-9). Let r(c) = 3*c + 3. Determine o*l(s) + v*r(s). 5*s + 1 Suppose 3*f - 30 + 12 = 0. Let d(n) = 8*n**3 + 5*n**2 - 3*n + 7. Let w(i) = -9*i**3 - 6*i**2 + 3*i - 8. Calculate f*d(y) + 5*w(y). 3*y**3 - 3*y + 2 Let q(i) = -i**3 - 3*i**2 - 36*i - 4. Let w(k) = -3*k**3 - 2*k**2 - 36*k - 5. Calculate 3*q(c) - 2*w(c). 3*c**3 - 5*c**2 - 36*c - 2 Let q be 28/7 + 0/(1 - 5) + -4. Let o(u) be the second derivative of -10*u - 1/2*u**2 + q. Let w(t) = -2*t - 3. Determine -2*o(n) + w(n). -2*n - 1 Let y(t) = -3*t + 1 + 5 - 4 + 0. Let q(k) = -14*k - 67. Let c(r) = -36*r - 159. Let l(f) = 5*c(f) - 12*q(f). Calculate 2*l(m) - 9*y(m). 3*m Let i(a) = -3814*a - 106. Let q(d) = 953*d + 29. Determine -3*i(g) - 11*q(g). 959*g - 1 Let u(c) = -14*c + 70. Let f(s) = 32*s - 176. Give 7*f(o) + 18*u(o). -28*o + 28 Let v(l) = 367*l. Let d(p) = 354*p - 1. Give -4*d(c) + 3*v(c). -315*c + 4 Let w be 21 + 9 + -16 + 1. Let r(b) = 0 + w - 16. Let c(z) = -2*z - 10. Determine -4*c(a) + 40*r(a). 8*a Let f(u) = 3*u**2 + u - 8. Let h(a) = -a**3 - 2*a**2 - a + 7. Let t be (-3 + -9)*(2/12 + 14/84). What is t*h(r) - 3*f(r)? 4*r**3 - r**2 + r - 4 Let z(d) = -d**2 + 2*d - 1. Let v(p) = 13*p**2 - 10*p + 54. What is v(k) + 5*z(k)? 8*k**2 + 49 Let q(x) = -3*x**3 + 36*x**2 - 2*x - 9. Let g(j) = -j**3 - 6*j**2 + j + 1. Determine 6*g(s) + q(s). -9*s**3 + 4*s - 3 Let o(z) = -z**2 - 2739*z - 21. Let a(n) = 546*n + 4. Calculate 11*a(g) + 2*o(g). -2*g**2 + 528*g + 2 Let w(r) = -3*r**2 + 11*r + 1. Suppose -v - 41 = -44, 1 = 2*j + 3*v. Let u(k) = 2*k**2 - 11*k - 1. Calculate j*u(a) - 3*w(a). a**2 + 11*a + 1 Let w = 318 + -305. Let l(h) = 7*h - 4 + 3 + w*h - 30*h + 11*h. Let y(o) = 14*o - 21. Give 21*l(g) - y(g). 7*g Let h(v) = 2*v**2 + 8*v + 7. Let r(z) = -139*z + 562. Let a be r(4). Let y(g) = -3*g**2 - 9*g - 8. What is a*h(d) + 5*y(d)? -3*d**2 + 3*d + 2 Let v(l) = -l + 7. Let q(y) = 4*y - 10. Determine -q(j) - 2*v(j). -2*j - 4 Let z(q) = q**2 + 2033*q + 3. Let b(n) = 3*n**2 + 4084*n + 7. Calculate 2*b(u) - 5*z(u). u**2 - 1997*u - 1 Let j(w) = 78*w**3 + 70*w**3 + 75 + 71*w**3 - 80 - 3*w**2 - 232*w**3. Let f(i) = -12*i**3 - 4*i**2 - 6. What is -5*f(l) + 6*j(l)? -18*l**3 + 2*l**2 Let n(d) = 4*d**3 + d**2 + 2*d - 2. Suppose -35 = -4*a + 5. Suppose -5*f - a = -0*f. Let l(p) = 2*p**2 + 5*p**3 + 3*p + 0 - 3 - 1 + 1. What is f*l(b) + 3*n(b)? 2*b**3 - b**2 Let d(z) = 6*z + 2. Let n(v) = 3*v + 1. Suppose 12 = -2*j + 2*r, -j + 81 = 2*r + 63. What is j*d(w) - 5*n(w)? -3*w - 1 Let q(w) = 3*w**3 + 4*w**2 - 3*w + 2. Suppose -s + 22 - 23 = 0. Let r(y) = -y**2 + y - 1. Let v = 11 + -13. What is s*q(x) + v*r(x)? -3*x**3 - 2*x**2 + x Let k(i) = 5*i + 9*i**2 - 8*i**2 - 3 - 2*i. Let j(b) = 11*b**2 - 82*b - 2. Let m(z) = -9*z**2 + 69*z + 1. Let c(d) = 5*j(d) + 6*m(d). Determine 5*c(t) - 6*k(t). -t**2 + 2*t - 2 Let r(h) = -5*h + 3. Let q(o) = -9*o + 5. Suppose -k - 25 = -s - 18, -2*s + 41 = 7*k. Let x be 2/(-4) - 11/2. Determine s*r(c) + x*q(c). 4*c Let y(z) = -7*z - 6. Let p(n) = -18*n + 362. Let q be p(20). Suppose -q = 2*t + 8, 0 = 4*f + 4*t + 40. Let m(a) = 7*a + 5. Determine f*y(h) - 6*m(h). -7*h Let f(t) = t**2 + 3*t + 5. Let c(i) = 465 - 466 + i + 0*i. What is -3*c(g) + f(g)? g**2 + 8 Let p(s) = -51 - 42 + 101 + 4*s**3 + 9*s**3 + 3*s**2 + 19*s - 12*s. Let b(h) = -4*h**3 - h**2 - 2*h - 3. What is 7*b(j) + 2*p(j)? -2*j**3 - j**2 - 5 Let t(q) be the third derivative of -7/24*q**4 + 0 + 24*q**2 + 0*q - 7/6*q**3. Let g(a) = 6*a + 6. Calculate -6*g(k) - 5*t(k). -k - 1 Let o(k) = 4*k**2 + 2*k + 2. Let d = 8 + -6. Let f(h) = 9*h**2 + 4*h + 5. Suppose 0 = 33*b - 55*b - 130 + 20. Calculate b*o(w) + d*f(w). -2*w**2 - 2*w Let w(f) = 10*f - 1101. Let q(d) = 21*d - 2200. Determine -2*q(r) + 5*w(r). 8*r - 1105 Let m(i) = 187*i - 430. Let q(u) = 17*u - 38. Let n(c) = 2*m(c) - 23*q(c). Let j(s) = 11*s - 9. Give -7*j(d) - 5*n(d). 8*d - 7 Let c(l) = -4*l + 6. Suppose -4*z + 183 = -v, 45*v - 5 = 44*v. Let d(g) = -z - 10 - 55*g + 142. Calculate -85*c(o) + 6*d(o). 10*o Let s be 4/16*-2*-10. Let k(j) = -3*j**2 - 4*j**2 + s*j**2 + 4*j + 6 - 3. Let g(u) = -2*u**2 + 3*u + 2. Calculate 4*g(p) - 3*k(p). -2*p**2 - 1 Let g(q) = -6*q**3 + 2*q + 1. Let x(i) = -24*i**3 + 3*i**2 + 4*i - 3. Let m(l) = -3*g(l) + x(l). Let w(b) = 5*b**3 - 2*b**2 + 2*b + 5. What is 3*m(d) + 4*w(d)? 2*d**3 + d**2 + 2*d + 2 Let c(p) = -9*p**2 + 6*p + 5. Let r be ((-2)/(-12))/(3/(-108)). Let b(m) = -m**2 + m. Give r*b(w) + c(w). -3*w**2 + 5 Let j(y) = -y**3 + 6*y**2 - 3*y - 165. Let p(i) = -4*i**2 + 3*i + 166. Give -2*j(c) - 3*p(c). 2*c**3 - 3*c - 168 Let u(s) = -9*s**3 + 55*s**2 + 657*s + 31. Let w(p) = -3*p**3 + 20*p**2 + 219*p + 11. Calculate -4*u(j) + 11*w(j). 3*j**3 - 219*j - 3 Let k(z) = -40*z**2 + 644*z - 4. Let j(p) = 49*p**2 - 644*p + 5. Determine 4*j(s) + 5*k(s). -4*s**2 + 644*s Let f(p) = 4*p**3 - 3*p**2 - 6*p. Let z(h) be the second derivative of 9*h**5/20 - 7*h**4/12 - 13*h**3/6 + 1209*h. Give -13*f(s) + 6*z(s). 2*s**3 - 3*s**2 Let x(u) = -803276*u**3 + 2455*u**2 + 4910*u - 2455. Let k(h) = -1964*h**3 + 6*h**2 + 12*h - 6. Calculate -2455*k(g) + 6*x(g). 1964*g**3 Let o be 7918/1332 + (-2)/(-36). Let z(t) = -11*t**2 - 5*t. Let b(g) = 5*g**2 + 2*g. Calculate o*z(f) + 15*b(f). 9*f**2 Let z(y) = -15*y**2 + 19*y + 17. Suppose -3*d = -5*f + 5 + 4, 5*d + 2*f = 16. Let s(v) = 8 + 11*v + 0*v**d - 7*v**2 - 11*v + 9*v. Give -13*s(b) + 6*z(b). b**2 - 3*b - 2 Let a = 389 + -346. Suppose h = 48 - a. Let f(q) = -q + 1. Let d(n) = -n + 1. Let r(b) = -4*d(b) + 5*f(b). Let s(g) = -g + 1. What is h*r(p) - 4*s(p)? -p + 1 Let t(h) = -8*h**2 + 5. Suppose 4*z - 3*z = 5. Let s(v) = -4*v**2 + 2*v - 1. Let d(i) = -164*i**2 + 72*i - 24. Let o(y) = d(y) - 36*s(y). Give z*o(q) - 12*t(q). -4*q**2 Let s(v) = -v. Let h(a) = a - 19. Let y(b) = 370*b + 4072. Let k be y(-11). Calculate k*h(q) + 4*s(q). -2*q - 38 Let l(h)
{ "pile_set_name": "DM Mathematics" }
or of 652183 and 7? 7 What is the highest common divisor of 146 and 3884768? 146 Calculate the highest common divisor of 17265 and 210. 15 Calculate the highest common divisor of 2337 and 9761649. 2337 Calculate the highest common factor of 1612 and 914407. 403 Calculate the highest common divisor of 176 and 759680. 16 Calculate the greatest common divisor of 5820 and 9215. 485 Calculate the greatest common factor of 992 and 44516. 124 Calculate the highest common divisor of 14413 and 54173. 497 What is the greatest common factor of 99 and 5791929? 33 Calculate the highest common factor of 1652 and 17228. 236 Calculate the highest common factor of 348 and 602649. 87 What is the highest common divisor of 168 and 311712? 24 What is the highest common divisor of 3393 and 7722? 117 Calculate the highest common divisor of 3 and 3327. 3 What is the highest common factor of 7881665 and 165? 55 What is the highest common divisor of 6929 and 175760? 169 Calculate the greatest common factor of 57948 and 132. 132 What is the greatest common divisor of 3075463 and 521? 521 Calculate the highest common factor of 2214248 and 8. 8 Calculate the greatest common divisor of 264 and 140536. 88 What is the greatest common factor of 289959 and 228? 57 What is the greatest common divisor of 51368 and 136? 8 What is the greatest common factor of 771831 and 17511? 1347 Calculate the highest common divisor of 28 and 12803. 7 What is the highest common divisor of 3811 and 619648? 103 Calculate the highest common factor of 1082 and 146. 2 What is the highest common factor of 915 and 394365? 915 Calculate the highest common factor of 749740 and 2280. 380 Calculate the highest common factor of 5868 and 88509. 489 What is the highest common factor of 1088 and 175304? 136 Calculate the greatest common divisor of 24 and 21864. 24 Calculate the highest common factor of 9196 and 49628. 76 Calculate the highest common divisor of 111 and 244903. 37 Calculate the greatest common factor of 147871 and 58. 29 Calculate the greatest common factor of 1049862 and 330. 66 What is the greatest common factor of 1524 and 192? 12 What is the highest common factor of 20 and 368020? 20 Calculate the highest common factor of 91816 and 16. 8 Calculate the highest common factor of 288371 and 17. 17 What is the greatest common divisor of 4835 and 55? 5 What is the greatest common factor of 61440 and 870? 30 Calculate the greatest common divisor of 196 and 3188. 4 What is the greatest common factor of 10045 and 15? 5 What is the highest common factor of 260 and 5395? 65 Calculate the highest common factor of 3 and 3161. 1 What is the highest common divisor of 29 and 318101? 29 Calculate the greatest common factor of 2364 and 3102. 6 Calculate the greatest common divisor of 28518 and 60. 6 Calculate the highest common divisor of 3456 and 472. 8 What is the greatest common factor of 262998 and 456? 114 What is the greatest common divisor of 2117897 and 562? 281 What is the greatest common divisor of 6251 and 2261? 133 Calculate the highest common factor of 286 and 219934. 286 Calculate the highest common factor of 7472 and 467. 467 What is the highest common factor of 3201 and 143? 11 What is the highest common factor of 1625 and 81625? 125 Calculate the greatest common factor of 375 and 1965. 15 Calculate the highest common divisor of 516 and 33798. 258 What is the highest common factor of 2279 and 215? 43 What is the greatest common factor of 4112 and 16191? 257 Calculate the highest common divisor of 481222 and 5574. 1858 Calculate the highest common divisor of 63 and 18621. 9 What is the greatest common factor of 88448 and 69791? 691 What is the greatest common factor of 299 and 6799? 13 Calculate the highest common factor of 752 and 2303. 47 What is the greatest common divisor of 290108 and 9828? 364 What is the greatest common divisor of 117 and 107068? 13 Calculate the highest common divisor of 216 and 906. 6 Calculate the highest common factor of 77 and 1562. 11 Calculate the greatest common divisor of 48941 and 23871. 109 What is the highest common divisor of 301806 and 3402? 486 Calculate the highest common factor of 146402 and 9279. 1031 Calculate the greatest common divisor of 5 and 4123735. 5 Calculate the highest common factor of 329 and 1099. 7 Calculate the greatest common factor of 17832 and 48. 24 What is the greatest common factor of 67 and 370912? 67 What is the greatest common factor of 990015 and 195? 195 Calculate the highest common divisor of 330 and 282040. 110 Calculate the highest common divisor of 552 and 72450. 138 Calculate the greatest common factor of 364 and 58422. 182 Calculate the highest common divisor of 1376 and 1406960. 688 Calculate the highest common divisor of 313475 and 25. 25 What is the greatest common divisor of 38005 and 5528? 691 What is the greatest common factor of 10863 and 5763? 51 Calculate the greatest common divisor of 8128 and 144. 16 Calculate the highest common factor of 4 and 262. 2 What is the highest common divisor of 1523006 and 655? 131 Calculate the greatest common factor of 134 and 104989. 67 Calculate the greatest common factor of 88 and 76978. 22 What is the highest common divisor of 3268 and 8342? 86 What is the highest common divisor of 736080 and 70? 10 Calculate the highest common factor of 177248 and 191. 191 Calculate the greatest common factor of 152 and 1736. 8 What is the greatest common factor of 852 and 34719? 213 Calculate the greatest common divisor of 4118 and 1160. 58 Calculate the greatest common divisor of 108 and 28926. 18 What is the highest common factor of 180917 and 11? 11 Calculate the highest common divisor of 2 and 1311346. 2 Calculate the greatest common divisor of 402 and 225. 3 What is the highest common divisor of 92471 and 66496? 1039 What is the highest common divisor of 70560 and 5440? 160 Calculate the greatest common factor of 36442 and 10960. 274 What is the greatest common factor of 478 and 2486? 2 Calculate the greatest common divisor of 10881 and 27001. 403 What is the highest common divisor of 66126 and 103? 103 What is the greatest common factor of 27 and 2530881? 9 What is the highest common factor of 88 and 284669? 11 What is the highest common factor of 5232 and 2988? 12 What is the greatest common divisor of 12159 and 8295? 21 What is the highest common divisor of 2655 and 51? 3 What is the highest common factor of 143918 and 1902? 634 What is the highest common factor of 186923 and 22? 11 What is the highest common factor of 232918 and 2? 2 What is the greatest common divisor of 152 and 67368? 8 What is the highest common factor of 290 and 843726? 58 What is the highest common divisor of 2723 and 1057? 7 What is the greatest common factor of 5184 and 4736? 64 What is the greatest common factor of 34453 and 1052? 263 What is the highest common factor of 1482 and 1664? 26 Calculate the highest common divisor of 108 and 516660. 12 Calculate the greatest common factor of 88074 and 84. 42 Calculate the highest common divisor of 436085 and 65. 65 What is the highest common factor of 514374 and 42? 42 What is the highest common factor of 10 and 240710? 10 What is the greatest common factor of 58366 and 1? 1 What is the greatest common divisor of 16824808 and 616? 616 What is the greatest common divisor of 423 and 60207? 141 Calculate the greatest common divisor of 400584 and 96. 24 Calculate the greatest common divisor of 188 and 93295. 47 What is the highest common divisor of 90 and 15440? 10 Calculate the greatest common factor of 10209 and 72201. 123 Calculate the greatest common divisor of 62818 and 3920. 98 Calculate the greatest common factor of 180 and 129834. 18 What is the highest common divisor of 35076 and 296? 148 What is the highest common factor of 516287 and 551? 551 What is the greatest common factor of 2269568 and 1043? 1043 What is the greatest common factor of 348476 and 4? 4 What is the highest common factor of 198 and 80850? 66 What is the highest common divisor of 358 and 212473? 179 What is the greatest common factor of 1888 and 1794544? 944 What is the highest common divisor of 407 and 26122? 37 What is the greatest common divisor of 2198 and 43652? 14 What is the hig
{ "pile_set_name": "DM Mathematics" }
147*f**4 Let g(a) be the third derivative of a**4/24 + 5963*a**2. Let l(n) = -155*n. What is g(l(r))? -155*r Let f(r) = 4*r + 477*r + 242 - 128 - 119. Let w(u) = -u. Give f(w(c)). -481*c - 5 Let u(s) = 2*s. Let a(n) be the third derivative of -1/3*n**3 + 0*n + 0*n**4 + 1/20*n**5 + 0 - 36*n**2. Give u(a(h)). 6*h**2 - 4 Let i(d) = 40*d - 56. Let r(y) = -25*y + 32. Let o(l) = 4*i(l) + 7*r(l). Let v(k) = -36*k**2. Let j(m) = 7*m**2. Let g(t) = 21*j(t) + 4*v(t). Give o(g(x)). -45*x**2 Let u(k) = -1792*k**2 - 7*k + 1. Let v(r) = -16*r. What is v(u(i))? 28672*i**2 + 112*i - 16 Let z(d) = -7*d. Let i(j) = -3*j**2 + 271863. What is z(i(u))? 21*u**2 - 1903041 Let b(r) = 999*r**2 - 32. Let g(f) = -347653*f**2 + 11144. Let t(m) = 1393*b(m) + 4*g(m). Let z(u) = -2*u**2. Give z(t(p)). -1980050*p**4 Let g(h) = -h. Let q(p) = 317667788 + 873*p - 9299*p - 317667788. What is q(g(i))? 8426*i Let a(y) = -y. Suppose -f = f - 5*o - 554, 0 = 4*f + 2*o - 1132. Let x(l) = 0 + 284*l + 0 - f*l. Determine x(a(i)). -2*i Let d(m) = 35331485*m. Let w(g) = -5*g**2. Calculate w(d(b)). -6241569161526125*b**2 Let k(b) be the first derivative of -17*b**4/24 - 3*b**2 - 3*b - 120. Let f(h) be the second derivative of k(h). Let x(z) = -4*z**2. Give x(f(i)). -1156*i**2 Let l(x) = 26*x**2 + 155*x. Let i(y) = y + 203. Determine l(i(r)). 26*r**2 + 10711*r + 1102899 Let q(n) = -48*n**2. Suppose a = -2*b + 77, b - 4 - 22 = -3*a. Let x(v) = b*v**2 - 11*v**2 - 15*v**2 - 14*v**2. What is q(x(z))? -48*z**4 Let t(s) = 168777*s. Let g(o) = 13*o. Calculate g(t(j)). 2194101*j Let q(d) be the third derivative of -47*d**5/15 - d**3/6 + 882*d**2 + 2*d + 1. Let l(g) = -17*g**2. What is l(q(z))? -600848*z**4 - 6392*z**2 - 17 Let o(k) = -2*k**2. Let p(r) be the first derivative of 195*r**2/2 - 12*r + 3376. Give p(o(w)). -390*w**2 - 12 Let d(u) = 3*u. Let z(j) = -24739978*j. Calculate d(z(b)). -74219934*b Let q = -115 - -120. Let l(h) = -7*h**2 - 2. Let g(u) = -17*u**2 - 5. Let a(s) = q*l(s) - 2*g(s). Let r(v) = 6*v**2. Give a(r(b)). -36*b**4 Let q(j) = -2*j - 3. Let b(d) = 3*d + 4. Let l(v) = -3*b(v) - 4*q(v). Let t(g) be the first derivative of -27/2*g**2 - 130 + 0*g. Give t(l(f)). 27*f Let a(v) = -4267163*v**2. Let f(p) = -p**2. Determine f(a(z)). -18208680068569*z**4 Let t(a) = -2 + 2 - 2*a**2. Let w(k) = 1 - 9 + 4 - 11*k. Let g(d) = 1. Let r(o) = 4*g(o) + w(o). Give r(t(z)). 22*z**2 Let j(l) = -2392*l**2. Let o(k) = -k**2 - k - 1. Let b(q) = -3*q**2 - 4*q - 4. Let x(t) = b(t) - 4*o(t). Give j(x(d)). -2392*d**4 Let o(d) be the second derivative of -28/3*d**3 + 0 + 0*d**2 + 84*d. Let g(l) be the first derivative of -l**3/3 - 13. Calculate g(o(v)). -3136*v**2 Let u(c) = -12*c - 5*c - 2 - 8*c - 15*c. Let f(t) be the third derivative of -t**4/24 + 107*t**2. Give u(f(o)). 40*o - 2 Let z(y) be the second derivative of 0*y**3 - 2*y + 1/6*y**4 + 0*y**2 + 11. Let f(s) = 97*s**2. Give f(z(u)). 388*u**4 Let n(s) = -51313*s. Let u(d) = -2377*d. Calculate u(n(i)). 121971001*i Let a(x) = 835*x**2. Let z(b) = 51*b - 4. Let h(o) = 13*o - 1. Let y(r) = 4*h(r) - z(r). Determine a(y(s)). 835*s**2 Let w(s) = 5*s + 3844. Let f(c) = 1807*c. Give f(w(t)). 9035*t + 6946108 Let a(z) = 7*z**2 + 3. Let x(f) be the third derivative of -f**4/24 - f**3 - 18*f**2 + 7*f + 2. Determine x(a(h)). -7*h**2 - 9 Let j(d) = 79 - 3*d - 53 + 100 - 89. Let h(q) be the second derivative of q**4/12 + 3*q. Determine j(h(p)). -3*p**2 + 37 Let n(c) = 2*c + 113. Let y(x) = 53. Let z(h) = n(h) - 2*y(h). Let d(v) = -7*v. Calculate d(z(s)). -14*s - 49 Let n(b) = 343*b - 178*b - 172*b. Let f(p) = -95*p**2. Give n(f(d)). 665*d**2 Let i(l) = -116*l + 34. Let v(t) = 41*t - 12. Let d(y) = -6*i(y) - 17*v(y). Let k(u) = -6*u**2 - 25. Determine k(d(r)). -6*r**2 - 25 Let f(l) = -1214*l - 405*l - 522*l - 166*l + 190*l. Let a(w) = -3*w**2. What is a(f(q))? -13445067*q**2 Let n(x) = -129*x**2 - 3. Let b(g) = -12555*g. Calculate b(n(u)). 1619595*u**2 + 37665 Let y(w) = 3*w**2. Suppose -7*j - 16 = -5*j. Let o = 11 + j. Let h(v) = 11 + 8*v + o*v - 11. Give h(y(p)). 33*p**2 Let x(y) = -259*y**2 + 138*y**2 + 118*y**2. Let i(f) = -286*f. Give i(x(s)). 858*s**2 Let t(j) = -20373426*j. Let n(r) = r. Give n(t(m)). -20373426*m Let y(i) = -93 + 48 + 25 + 16*i + 27. Let z(h) = 8*h**2. Determine z(y(k)). 2048*k**2 + 1792*k + 392 Let n(b) be the first derivative of 5*b**2 + 27. Let y(s) = 32*s**2 + 11*s - 11. Let q(a) = -19*a**2 - 6*a + 6. Let j(o) = 11*q(o) + 6*y(o). Give n(j(d)). -170*d**2 Let u(a) = -4622*a. Let s(r) = 55*r + 50*r + 47*r + 47*r - 197*r. Give s(u(b)). -9244*b Let m(p) = 28871*p. Let c(b) = -8*b - 10. Give m(c(s)). -230968*s - 288710 Let l(z) = 4*z**2. Let t(r) = -10*r**2 - 70*r. Let y(c) = -c**2 + 10*c. Let x(i) = t(i) + 7*y(i). What is l(x(k))? 1156*k**4 Let b(p) = 116*p**2 + 6. Let r(d) = -4789*d. Determine b(r(x)). 2660404436*x**2 + 6 Let q(d) = 10*d. Let m = -1495 - -1488. Let v(y) = 0*y + 0 - 2*y - 5. Let s(x) = -3*x - 7. Let z(a) = m*v(a) + 5*s(a). Calculate z(q(w)). -10*w Let t(m) be the first derivative of 20*m**3/3 + 1231. Let s(p) = 5*p**2 - 26*p + 26*p. Determine t(s(z)). 500*z**4 Let z(b) be the third derivative of -19*b**5/30 - b**2. Let s(y) = 16*y + 3377. Let t(j) = 3*j + 614. Let r(v) = 4*s(v) - 22*t(v). Determine z(r(h)). -152*h**2 Let x(i) = -82*i - 6. Let b(j) = -109*j - 8. Let k(r) = -3*b(r) + 4*x(r). Let l(t) = -t**2 + 11*t + 11. Give l(k(h)). -h**2 - 11*h + 11 Let q(k) be the second derivative of 0*k**2 + 1/2*k**3 + 0 - k. Let v(m) be the second derivative of -5*m**3/3 - 17*m - 39. Give v(q(o)). -30*o Let d(k) = 4*k - 14. Let y(o) = -684*o + 86. Calculate d(y(c)). -2736*c + 330 Let j(g) = 13*g + 9. Let y(b) = -24*b - 21. Let d(v) = -7*j(v) - 3*y(v). Let s(i) = i**2 + 20. Give s(d(q)). 361*q**2 + 20 Let k(d) be the third derivative of -d**5/15 - 3074*d**2. Let o(y) = -23*y. What is k(o(j))? -2116*j**2 Let d(q) = 3*q. Let u(o) be the first derivative of -o**6/40 + 16*o**3 - 51. Let h(r) be the third derivative of u(r). What is d(h(c))? -27*c**2 Let u(t) = 4*t**2. Let h(p) = 7820213*p. Give h(u(l)). 31280852*l**2 Let p(j) be the second derivative of -11*j**5/120 - 13*j**3/2 - 9*j + 2. Let b(a) be the second derivative of p(a). Let d(k) = k. Determine d(b(r)). -11*r Let m(p) = -2*p. Let r = -181 + 191. Let a(i) = 13 - 23 + r + i**2. Give m(a(w)). -2*w**2 Let c(u) be the first derivative of -11*u**4/24 - 53*u**2/2 - 71. Let x(n) be the second derivative of c(n). Let o(a) = -7*a. Calculate o(x(k)). 77*k Let f(x) = x + 0*x + 0*x. Let q(d) be the first derivative of 0*d - 10/3*d**3 + 0*d**2 - 76. Give f(q(w)). -10*w**2 Let z(t) = -806*t. Let p(i) be the second derivative of -25*i**4/12 + 13*i + 257. What is z(p(f))? 20150*f**2 Let d(c) = 141*c**2 + 2*c. Let r be 21/((-147)/(-70)) - 2. Let z(l) = l - 6*l - 5*l + r*l. Give z(d(u)). -282*u**2 - 4*u Suppose 3*j = 2*q + 64, 3*j = 8*j + q - 98. Let w(h) = 27*h**2 - 49*h**2 + j*h**2. Let y(s) be the third derivative of 2*s**4/3 - 33*s**2. Determine w(y(a)). -512*a**2 Let u(n) = 9697*n**2. Let g(x) = -35131*x**2. Determine u(g(k)). 11967912900217*k**4 Let o(r) = -r**3 + r**2 - 10*r - 32. Let b be o(-3). Let m(s) = -54 + 2*s + b + 20. Let f(y) = -y**2 - 130*y. What is f(m(p))? -4*p**2 - 260*p Let a(y) = 14 - y**2 + 24*y - 16*y + 2*y**2. Let m be a(-6). Let p(u) = -2. Let s(w) = w + 1. Let h(i) = m*s(i) + p(i). Let v(n) = -21*n. What is v(h(d))? -42*d Let f(r) = 16*r + 7*r - 12 - 13 - 20 + 46. Let m(y) = -y**2. What is m(f(k))? -529*k**2 - 46*k - 1 Let f(a) = -12*a**2 + 5*a. Let d(s) = 34165*s + 5. Give d(f(t)). -409980*t**2 + 170825*t + 5 Let n = 14 - 8. Let j(f) = 38*f + 190. Let q be j(-5). Let r(d) = 4*d + q*d - n*d + d. Let u(t) = -10*t**2. Calculate u(r(g)). -10*g**2 Let g(k) = -k**2. Let u(b) = -4879684*b**2. Calculate g(u(y)). -23811315939856*y**4 Let s(d) = -4*d**2. Let q(h) = -59*h + 4. Let v(u) = 185*u - 13. Let g(l) = -13*q(l) - 4*v(l). Give s(g(y)). -2916*y**2 Let s(v) = 24*v - 8. Let r(c) = -24*c + 7. Let d(i) = 6*r(i) + 5*s(i). Let u(t) = 2*t. Let f(b) = -2*b. Let l(j) = -2*f(j) - 3*u(j). Calculate l(d(w)). 48*w - 4 Let f(l) = 99*l**2 - 220*l**2 - 241*l**2 + 2*l. Let s(n) be the third derivative of n**5/30 + 3*n**2 - 176*n. What is f(s(a))? -1448*a**4 + 4*a**2 Let c(a) be the secon
{ "pile_set_name": "DM Mathematics" }
t i = 13 - 7. Find the third derivative of t**i - 4*t**6 - t**6 - t**2 wrt t. -480*t**3 Let p = 4/27 - 13/270. Let v(u) be the second derivative of 0*u**4 + 0 + 2*u + 0*u**3 + p*u**5 - u**2. Find the first derivative of v(n) wrt n. 6*n**2 Suppose 5*f = 5*o + 20, 0*o + 5*f = 3*o + 20. Let u be (0 - 1)*o - -5. Find the second derivative of -5*c**u + 3*c - 4*c + 8*c**5 wrt c. 60*c**3 Let v(m) = 4*m**2 - m. Let p be v(1). Let d(h) = -h**2 - 8*h - 9. Let o be d(-6). What is the second derivative of -3*y**5 - 2*y + y**p - y**o + 0*y**3 wrt y? -60*y**3 Find the second derivative of -2*t + 0*t**4 - 3*t + 7*t**4 + 2*t wrt t. 84*t**2 Let r(w) = -w. Let a(g) = g**4 - 1 - 17*g + 8 + 1 + 23*g. Let b(u) = -a(u) - 6*r(u). Differentiate b(l) with respect to l. -4*l**3 Let f(t) = -12*t**3 + 3*t**2 - 3*t + 4. Let o(u) = 12*u**3 - 2*u**2 + 2*u - 3. Let z(k) = 2*f(k) + 3*o(k). What is the first derivative of z(h) wrt h? 36*h**2 Let c(l) be the first derivative of 0*l**2 + 0*l**4 - 4 + 0*l + l**5 + 10/3*l**3. What is the third derivative of c(b) wrt b? 120*b Let r(c) be the third derivative of c**6/30 - 7*c**4/24 + 4*c**2. Find the second derivative of r(i) wrt i. 24*i Let m be (1 + 0)*(-6 - -4). Let s(k) = -4*k**5 - 5*k**2. Let i(c) = 5*c**5 + 6*c**2. Let v(h) = m*i(h) - 3*s(h). Find the third derivative of v(l) wrt l. 120*l**2 Let k(i) = i - 3. Let j be k(5). Find the second derivative of -3*a**3 - a + 2*a**3 + j*a**3 - 4*a**3 wrt a. -18*a Let a(i) be the first derivative of 10/3*i**3 - 1 + 0*i**2 + 5/2*i**4 + 0*i. Find the third derivative of a(s) wrt s. 60 Let z be 4/20 - 28/(-10). Find the second derivative of 2*s + 2*s**3 - s**3 - 2*s**3 - 2*s**z wrt s. -18*s Let o(y) = -2*y**6 - 4*y**5 + 3*y**2 + 4*y. Let s(p) = 3*p**6 + 9*p**5 - 5*p**2 - 9*p. Let n(g) = -9*o(g) - 4*s(g). Find the third derivative of n(f) wrt f. 720*f**3 What is the second derivative of 7*i + i**2 - i**2 + 6*i**4 - 19*i wrt i? 72*i**2 Let b be 2*1*8/16. Differentiate 0 + 1 + 1 + b + 3*x**2 with respect to x. 6*x Let q(u) = u + 6. Let b(o) = o + 3. Let w(c) = -7*b(c) + 3*q(c). What is the derivative of w(v) wrt v? -4 Let g(r) = -r**2 + 0 + 8*r - 2 + 3. Let x be g(8). Differentiate x - 1 + u**4 - 1 with respect to u. 4*u**3 Suppose 0 = -5*x - 3*y + 15, 0*x + 5*y = 4*x - 12. What is the third derivative of t**3 + t**3 + x*t**2 - 6*t**3 + 0*t**3 wrt t? -24 Suppose o = -5 + 8. Let s be 14/o - 1/(-3). What is the second derivative of -u**4 + s*u - 3*u - 2*u**4 wrt u? -36*u**2 Let k = -209/5 - -42. Let q(v) be the first derivative of 0*v**3 + 0*v**2 + 3*v + 0*v**4 + k*v**5 + 1. Find the first derivative of q(r) wrt r. 4*r**3 Find the third derivative of 23*o**3 + 4*o**2 + 14*o**3 + 8*o**2 wrt o. 222 Let k be 8/1 + (-12)/3. Let i(d) be the third derivative of 0*d + 1/3*d**3 + 0*d**k + 1/60*d**5 + 2*d**2 + 0. Differentiate i(g) wrt g. 2*g Let m(f) = f**3 - f**2 - f + 1. Let y(c) = -15*c**3 - 4*c**2 + 4*c - 4. Let a(p) = 4*m(p) + y(p). What is the third derivative of a(x) wrt x? -66 Let a(f) be the first derivative of 3*f**4/2 - 2*f + 4. Differentiate a(q) with respect to q. 18*q**2 Let i(b) be the third derivative of -2*b**4/3 + 3*b**3 - 12*b**2. Differentiate i(w) with respect to w. -16 Let v(z) = -2*z - 8. Let i be v(-6). Find the third derivative of -3*d**4 + d**4 + d**2 - 4*d**i wrt d. -144*d Let w(i) be the third derivative of -i**7/280 - i**4/8 + 2*i**3/3 + i**2. Let s(a) be the first derivative of w(a). Find the first derivative of s(m) wrt m. -9*m**2 Let h(d) = -24*d**3 + 6*d**2 + 6*d - 4. Let u(i) = 71*i**3 - 17*i**2 - 17*i + 13. Let b(p) = -17*h(p) - 6*u(p). Find the first derivative of b(m) wrt m. -54*m**2 Find the third derivative of -6*d - 50*d**3 + 8*d**2 - 2*d**2 - 9*d**2 + 13*d wrt d. -300 Let x = -7 - -3. Let b = x - -8. What is the second derivative of 3*h - b*h - h**2 - h wrt h? -2 Let x(q) = q**4 + q**2 + q - 1. Let v(u) = -2*u**5 + 8*u**4 + 8*u**2 + 10*u - 8. Let y(h) = 3*v(h) - 24*x(h). What is the second derivative of y(r) wrt r? -120*r**3 Let l(f) be the first derivative of -f**7/168 - f**6/72 - 7*f**3/3 + 1. Let p(g) be the third derivative of l(g). What is the third derivative of p(r) wrt r? -30 Let z(r) = r**3 + 2*r - 4. Let b be z(2). What is the third derivative of -6*m**2 - 6*m**3 - 8 + b wrt m? -36 Find the third derivative of -5*p**5 - 3*p**2 - 7*p**2 + 5*p**2 wrt p. -300*p**2 What is the second derivative of -u**4 + 8*u**4 - 92 + 92 - 8*u wrt u? 84*u**2 Let q(y) be the first derivative of -16*y**7/7 - 38*y**3/3 + 12. Find the third derivative of q(f) wrt f. -1920*f**3 Let j be 1/(7/3 + -2). Let b(r) = -5*r**4 - 12. Let l(n) = n**4 - 1. Let i(s) = j*l(s) - b(s). What is the first derivative of i(g) wrt g? 32*g**3 Let r = 7 - 1. Let b(s) = -3 + r*s**2 + s + s**2 - 3*s**2 + s. Let n(t) = t + 1. Let f(g) = -b(g) - 3*n(g). Find the second derivative of f(h) wrt h. -8 Let x(r) = r**3 + 5*r**2 + 2*r + 12. Let n be x(-5). Find the first derivative of 4*d**2 + 4 + 5*d**n + 0*d**2 - d**2 wrt d. 16*d Suppose 3 = 4*g - 5. Find the second derivative of 39*r**g + 2*r - 4*r**4 - 39*r**2 wrt r. -48*r**2 Suppose -u - 4*u = -20. Suppose -3*p - 13 = 2*a - 0*p, -u*a = p + 1. What is the derivative of 5 - 2*n**3 - a - 3 wrt n? -6*n**2 Find the second derivative of 4*z + 6*z - 6*z**3 + z - 5*z wrt z. -36*z Let o(x) = -1. Let v(n) = 6*n - 18. Let m(z) = 44*o(z) - 2*v(z). Differentiate m(r) wrt r. -12 Let y(z) be the second derivative of -z**5/20 + z**4/2 - z**3/2 - 7*z**2/2 - 3*z. Let h be y(5). Find the second derivative of -5*k + 4*k - h*k**4 - k wrt k. -36*k**2 Let r be (10/(-4) - -2)*-18. Suppose -4*a + a - r = h, 4*h - 32 = 5*a. Find the second derivative of -c**3 - 3*c**4 + 3*c + c**4 + c**h wrt c. -24*c**2 Let c = -12 - -15. Find the second derivative of d + d**4 - d**4 - c*d + d**4 wrt d. 12*d**2 Find the third derivative of 4*t**5 + 9*t**2 - 7*t**2 - 2*t**5 wrt t. 120*t**2 Let w be 6/4*(-88)/(-33). Find the second derivative of 0*u**3 + 10*u**3 + 2*u - w*u**3 wrt u. 36*u Let q(b) be the second derivative of 21*b**6/10 - 31*b**2/2 - 3*b - 2. Find the first derivative of q(j) wrt j. 252*j**3 Let k(u) be the second derivative of 4*u**6/15 - 2*u**4/3 + 7*u. Find the third derivative of k(l) wrt l. 192*l Let g(k) = -12*k**4 + 5*k**2 - 8*k - 5. Let c(w) = -11*w**4 + 4*w**2 - 9*w - 4. Let r(b) = 5*c(b) - 4*g(b). What is the second derivative of r(h) wrt h? -84*h**2 Let q(a) = a**3 - a**2 - a + 1. Let j = 20 + -21. Let z(n) = 12*n**3 - 4*n**2 - 4*n + 12. Let t(w) = j*z(w) + 4*q(w). Find the first derivative of t(v) wrt v. -24*v**2 Let b(z) = -z + 15. Let a be b(12). Differentiate 2*i**3 - 2*i**a + 2*i**3 + 8 with respect to i. 6*i**2 Let n(l) = 3*l**3 + 13*l - 7*l**4 - 3 + 2 - 10*l. Let d(h) = -6*h**4 + 2*h**3 + 2*h - 1. Let f(k) = -3*d(k) + 2*n(k). Differentiate f(m) with respect to m. 16*m**3 What is the third derivative of 13*w**2 - 2*w**3 + 10*w**3 + 0*w**3 wrt w? 48 Let c(i) be the second derivative of -3*i**8/56 + 7*i**4/12 - 5*i. Find the third derivative of c(a) wrt a. -360*a**3 Find the third derivative of -p**2 + 0*p**3 + 19*p**5 + 0*p**3 - 12*p**5 wrt p. 420*p**2 Let u(c) = -c**3 - 10*c**2 - 8*c + 12. Let l be u(-9). Differentiate -2*x**3 - x - x**l + 4 + x wrt x. -9*x**2 Suppose 1 - 2 = -l. Let w be -4 + 2 + 2/l. What is the first derivative of -3 + w + 5 + 2*s**2 wrt s? 4*s Let m(k) be the first derivative of 5*k**4/2 + 32*k + 26. What is the derivative of m(y) wrt y? 30*y**2 Let s(g) = 30*g + 29. Let y(k) = -15*k - 14. Let f(i) = -6*s(i) - 13*y(i). Differentiate f(v) with respect to v. 15 Let u(z) be the first derivative of -9*z**5/5 + z**3 - 7. What is the third derivative of u(i) wrt i? -216*i Let j(s) = s + 9. Let o be j(-7). Suppose -8 = -o*h + a + 2, 3*a = h - 5. Find the second derivative of -c**h - c + 0*c**5 + 4*c**5 wrt c. 60*c**3 Suppose -5*c + 0 = -5. Suppose 3*i - c = 5. What is the second derivative of 3*a**4 + a**3 - i*a - a**3 wrt a? 36*a**2 Let x = 40 - 40. Let h(f) be the first derivative of 0*f**2 + x*f**3 - 3 + 2*f + 1/4*f**4. Differentiate h(u) wrt u. 3*u**2 Let t(q) be the third derivative of -q**8/336 + 5*q**4/12 + 2*q**2. What is the second derivative of t(k) wrt k? -20*k**3 Let x be 6/(-8) - 12/(-16). Suppose x = 3*h - 3 - 9. Differentiate -7 - z
{ "pile_set_name": "DM Mathematics" }
-1.2. Which is the second smallest value? (a) -0.1 (b) i (c) d c Let n = -66.4 + 66.38. Let x = 0.05 + -4.05. What is the smallest value in -0.1, x, n, -2? x Let n = -1 - 0.1. Let w = -1.06 - n. Let m = 2.04 - w. Which is the smallest value? (a) m (b) 1/3 (c) -3 c Let l = 2100.7 + -2101. What is the biggest value in -2, l, 2/5? 2/5 Let x = 329/2 + -164. Let m = -0.9 - 4.1. Let c = -0.1 - 0.1. What is the biggest value in x, c, m? x Let z = -59.8 - -60.1. Which is the third smallest value? (a) z (b) 0.5 (c) -0.2 (d) -5 a Let n = 405 - 401. Which is the second smallest value? (a) -5 (b) 2/13 (c) n (d) 0.3 b Let n = -340.06 - -340. What is the second smallest value in n, 2, 0.2? 0.2 Let r = 74 + -70. What is the smallest value in -2, -4, r, -5? -5 Let s = -1015/3 + 339. Suppose 0 = 5*j + 10, j = g + 3*j + 3. Let m be ((-1)/8)/(g/(-3)). Which is the third smallest value? (a) m (b) -2 (c) s c Let l = -0.3801 - 0.1299. Which is the second smallest value? (a) -1 (b) 1 (c) l c Let w = 6641/91 + -73. What is the second biggest value in -4, w, 0? w Suppose m + 2*n = 9, -2*m - 7 = -n - 0. What is the smallest value in m, 9, 3/4? m Let x = 0.07 + 0.23. Let l = 0.102 - 0.062. Which is the smallest value? (a) x (b) -0.2 (c) l b Let y = 0 + -0.04. Let z = 3/355 + 349/710. What is the fourth biggest value in z, 1/3, 1/8, y? y Let m(n) = -n**3 + 4*n**2 + 3*n - 9. Let q be m(4). Let k = 0.29 - 1.29. Which is the second smallest value? (a) k (b) 2/23 (c) q b Let d = -4.2 + 57.2. Let g = -53 + d. What is the biggest value in g, -0.01, -0.1, 0.2? 0.2 Let w = -0.2 + 0.3. Let c = -0.1 + w. Let y be 17/(187/42) - 4. What is the third biggest value in c, y, -3? -3 Let t = 1477 + -1472. Which is the smallest value? (a) -4/3 (b) -5 (c) 0.06 (d) t b Let k = -102 - -176. Let q = -75 + k. Let t(r) = -r**3 + 5*r**2 + 7*r - 2. Let p be t(6). Which is the biggest value? (a) p (b) 0 (c) q a Let a = 1510 + -1503. What is the third biggest value in 2, -0.4, a, 0.4? 0.4 Let j = 25 - 26. Let t = -0.28 + -22.72. Let u = t + 22.93. Which is the third biggest value? (a) u (b) j (c) -2 c Let t = -2.02 + 0.02. Let b = 2/333 - 1673/1332. What is the smallest value in b, t, 2, 2/3? t Suppose -2*n = -3 - 7. Let o = -5505 + 5501. Which is the second biggest value? (a) 3/8 (b) o (c) n a Suppose r = -4*g - 161 - 70, 4*g + 5*r + 227 = 0. What is the third smallest value in -4, -2/9, 5, g? -2/9 Let f be ((-6)/20)/(((-16)/(-20))/2). What is the smallest value in -2, f, -4/3, -0.4? -2 Let i be (-6)/99*-21 + 4 + -5. Let z = -49/99 + i. Which is the third biggest value? (a) -8 (b) z (c) -1 a Let m = -1 - -1.2. Suppose 0 = -7*u + 2*u - 2*v + 668, -5*u + 4*v + 674 = 0. Let q = -535/4 + u. Which is the third biggest value? (a) q (b) m (c) 1 b Suppose 12 = 4*u + 3*d, 5*u = 5*d - d + 15. Let g be 1/u*(58 - 0). Let b = g - 299/15. What is the third smallest value in 1, 5/4, b? 5/4 Let j = -0.52 + 0.02. Let k be 2/(-24)*15/(-10). Let t = 138 + -142. What is the second smallest value in j, t, k? j Let h be (-658)/36*1/(-30). Let r = h - 1/108. Which is the third smallest value? (a) 0.4 (b) 1/2 (c) r c Let p = 299 + -302. Suppose -3*h + 18 = 2*j + 4, -4*h = -4*j + 8. What is the third smallest value in 0, p, h? h Let d = 2/249 + -512/1743. Suppose 3*x - 3*f - 3 = 0, -2*x + 0*f = 3*f - 27. Which is the smallest value? (a) d (b) -2/3 (c) x b Suppose -165 = -20*w + 9*w. Suppose -5*z = 2*t + w, 4*z + 14 = 2. Which is the smallest value? (a) 5 (b) t (c) 2 (d) 4 b Let v = -87/5 - -17. Let n = 4.13 + -0.13. Let y = -0.004 + 0.104. What is the second biggest value in y, n, v? y Let z = -211.1 + 211. Let r = 1 - 0.8. What is the second smallest value in r, 1, -0.5, z? z Let m be 3/(2 - 29/(-2)). Which is the fourth smallest value? (a) 3 (b) -0.5 (c) -2/11 (d) m a Let m be (-4*15/(-42))/((-10)/(-28)). Let r be (-2)/12 - (-1)/(-12). What is the fourth smallest value in r, 5, m, -1? 5 Let u = -51.1 - -48. Let t = -3 - u. Which is the smallest value? (a) -1/5 (b) t (c) 0.3 a Let l = -1 - -5. Let r = -1745 + 1744.8. What is the fourth smallest value in -3/2, r, -6, l? l Let g = 363 + -367. Which is the third smallest value? (a) -1/3 (b) g (c) 5 (d) -2/7 d Let d = -409/1281 + -20/183. Suppose -4*l = -5*h + 14, 5*h - 8 = 5*l + 7. Which is the third smallest value? (a) d (b) 1/3 (c) h c Let l = -1.9 + -3.1. Let f = -5.5 - l. Which is the smallest value? (a) 2/11 (b) -3 (c) f b Let y = -58.4 + 61. Let z = y - 2.9. Which is the second smallest value? (a) z (b) -1 (c) 0.4 a Let b = 581 + -582. What is the second biggest value in -2, b, 21? b Let m = 1847/15 + -123. What is the third smallest value in 1, -5, m? 1 Let j = 22 + -21. Suppose u - 6*u + 10 = 0. Let p = u - -3. Which is the second smallest value? (a) j (b) p (c) -2 a Let x(z) = z - 7. Let y be x(6). Let d = -96 - -146.1. Let j = 49 - d. Which is the second biggest value? (a) -0.3 (b) y (c) j b Let p = -473 - -1893/4. Which is the second biggest value? (a) 0.06 (b) 4 (c) p (d) 5 b Let l = -0.1501 + -0.0499. Let f be (2/110)/((-12)/(-4790)). Let t = 78/11 - f. Which is the biggest value? (a) t (b) l (c) -0.3 a Let k = 81 - 66. What is the third smallest value in -4, -1/3, k, -2/11? -2/11 Let k be -3*1/((-9)/(-30)). Let b = k - -15. Suppose 3 = -b*r - 7. What is the second biggest value in 0.1, 3, r? 0.1 Let o = 316/765 - 2/153. What is the second biggest value in -3/4, 0, o? 0 Let g = 149 - 149.4. Which is the fourth biggest value? (a) 0 (b) -0.1 (c) g (d) -0.01 c Let m = -0.27 - 0.13. Let i be (-27 - 0/(-1)) + -3. Let z be 0 + 0 + 4/i. What is the smallest value in z, m, 1/7? m Let j = -2276 - -2276.2. Let o = -17.04 + 0.04. Which is the fourth biggest value? (a) -5 (b) 0.4 (c) o (d) j c Let y = 1.09 + -0.09. Let j = -0.011 + 3.011. Which is the fourth biggest value? (a) y (b) j (c) 4 (d) -1 d Let x = 174/5 + -35. Let w = 8.22 - 9.22. Which is the third biggest value? (a) w (b) x (c) -2/47 a Let q = -1078 + 1081. Which is the third smallest value? (a) q (b) 0.24 (c) -3 a Let v = 3 + -7. Suppose -5*w + 4*w = 5. What is the fourth biggest value in v, 0.3, w, -0.01? w Let t = -12 - -11.74. Let v = 1.3 + -1.36. Let q = t - v. Which is the second biggest value? (a) q (b) 2/7 (c) 3 b Let v = -3.445 - 0.555. Which is the third biggest value? (a) -3/4 (b) v (c) 1/29 (d) 7 a Let p = 0.16 - 0.03. Let y = -0.07 - p. Let j = y - 0.1. Which is the biggest value? (a) -1/8 (b) 1/5 (c) j b Let y = 57 - -51. Let m = 108 - y. Let w(b) = b**2 - b + 2. Let h be w(2). What is the smallest value in h, m, -5? -5 Suppose -34*p + 22*p - 36 = 0. Let c = 0.31 + -0.01. What is the smallest value in p, -2, 4, c? p Let z = 263 + -266. Which is the second biggest value? (a) z (b) -1 (c) -1/10 b Let m = -3.0229 - -0.0229. Let v = 0.9 - -0.1. Let w = -4 - 1. Which is the smallest value? (a) m (b) v (c) w c Let k = -0.3 - 0.1. Let d = 44 + -34. Let v = -11 + d. What is the third smallest value in k, v, 3? 3 Let k = 234 + -236. Let m = -127/4 + 32. Which is the third smallest value? (a) m (b) k (c) 2/19 a Let h = -0.35 + -0.15. Let r = 0.5 + -6. Let x = h - r. Which is the second smallest value? (a) 0 (b) 0.5 (c) x b Let r(s) = 2*s**2 + 5*s - 2. Let k be r(-2). Let z be ((-17)/3)/((-9)/(-27)). Which is the third smallest value? (a) 2 (b) k (c) z a Suppose 0 = -5*f - 329 - 1196. Let p = -3967/13 - f. Let j be (-12)/(-3) - 81/21. Which is the second smallest value? (a) j (b) p (c) -0.3 b Let k = 25 + -91. Let y = -60 - k. What is the second biggest value in 5, y, 3? 5 Let g = 149 + -1041/7. Let k = 0.21 - 0.29. Which is the third smallest value? (a) g (b) k (c) 5 c Let m be (0 + 2/5)*(403 - 393). What is the smallest value in -3, m, 5, 2? -3 Let k be (4/6)/((-8)/2076). Let z = 178029/1036 - -129/148. Let j = z + k. What is the smallest value in 0.3, j, -3? -3 Let o be (-4)/18*1/2. Let d = 1808 - 1805. Which is the second smallest value? (a) d (b) -0.1 (c) o b Let p = -0.396 - -0.456. Let y = 0.3 - -0.1. Let g = 0.2 - y. Which is the biggest value? (a) p (b) g (c) -5 a Suppose -5*u + 20 = 0, u + 282 = 5*k - u. Suppose k + 212 = 5*r. Let l be (4 - r/21) + -1.
{ "pile_set_name": "DM Mathematics" }
) = -d**2. Let c(j) = -10000*j**2 + j. What is c(n(r))? -10000*r**4 - r**2 Let u(j) = 10*j**2 + 5*j. Let n(m) = -123*m + 238*m - 115*m + 2*m**2. Determine u(n(o)). 40*o**4 + 10*o**2 Let j(o) = -8*o + 2*o + o - 20*o. Let h(b) = -7*b**2. What is j(h(t))? 175*t**2 Let b(x) = -11*x**2 - 7*x**2 + 31*x**2 - 11*x**2. Let l(h) = 43*h - 2. What is b(l(k))? 3698*k**2 - 344*k + 8 Let n(p) = 56 - 23 - 2*p - 17 - 16. Let w(z) = -99*z. What is w(n(g))? 198*g Let o(h) be the first derivative of 337*h**2/2 + 313. Let y(u) = -u. What is y(o(f))? -337*f Let o(d) = 9*d + 3*d - 15*d + 2*d + 2*d. Let n(i) = -6*i - 23. Determine n(o(t)). -6*t - 23 Let n(h) be the first derivative of h**3 - 53. Let f(v) be the third derivative of -v**5/20 - 6*v**2. Determine f(n(l)). -27*l**4 Let a(s) = -2*s. Suppose -2*o + 3*v = 2*o - 37, 5*o + 3*v - 26 = 0. Let p(t) = o - 16 + 9 - 11*t. What is a(p(h))? 22*h Let j(b) = 2*b - 2*b + 12*b + 4*b. Let d(o) = -202 + 405 - 7*o**2 + 6*o**2 - 203. Give j(d(v)). -16*v**2 Suppose 21 - 6 = 3*p, x = -3*p + 19. Let r(v) be the first derivative of -15 - 1 + x + v**2. Let m(k) = 3*k**2. Give r(m(g)). 6*g**2 Let z(l) = -1317*l. Let y(d) = 116*d. What is z(y(n))? -152772*n Let t be (6 + -5)/((-3)/(-6)). Let u(k) = 7*k**2 - t*k**2 - 5 + 5. Let n(d) = -2*d**2. Give u(n(h)). 20*h**4 Let j(h) = h. Let n(m) = -3*m**2 + 3*m - 35. Give j(n(y)). -3*y**2 + 3*y - 35 Let t be 4*(-2 - -1)*-1. Let q(p) = -7*p. Let v(g) = 6*g. Let o(i) = t*v(i) + 3*q(i). Let h(u) = -1406*u + 706*u + 701*u. Give h(o(y)). 3*y Suppose 14*l - 11*l = 15. Let t(w) = -76 - 3*w + 76 + l*w. Let z(r) = 8*r**2 - 3*r**2 + r**2. Give t(z(q)). 12*q**2 Suppose -7 = -2*u - 3. Let k(t) = 2*t**2 - 6*t**2 - t**u. Let y(d) = -d - 7. Let o(q) = 1. Let z(c) = -14*o(c) - 2*y(c). Give k(z(m)). -20*m**2 Let x(r) = 67*r**2. Let f(w) = -w**2 + 1110*w. Give f(x(j)). -4489*j**4 + 74370*j**2 Let o(m) = -5*m. Let n(a) be the first derivative of 31*a**2/2 - 249. What is o(n(q))? -155*q Let w(f) = f. Let l(u) be the second derivative of 19*u**3/3 + u**2/2 + 173*u. Determine w(l(p)). 38*p + 1 Let t(h) = 2*h. Let s(b) = -2*b**2 - b + 1. Let c(q) = -55*q**2 - 4*q + 3. Let l(d) = -c(d) + 3*s(d). Give t(l(m)). 98*m**2 + 2*m Let n(m) = m. Let s(r) be the first derivative of 6 + 0*r**3 + r**3 - 2*r**3 - r**3. Calculate s(n(v)). -6*v**2 Let q(t) = -147439*t. Let g(d) = -d**2. Calculate g(q(z)). -21738258721*z**2 Let w(l) = -l**2. Let s(m) be the third derivative of 0*m + 0*m**3 - 19*m**2 + 0 - 1/4*m**4. What is s(w(g))? 6*g**2 Let m be 2 - (-4)/(0 - -4). Suppose -3*v = -3 - m. Let o(n) = -2*n - 2 + v + 0*n. Let h(q) = 3*q. Calculate o(h(d)). -6*d Let c(b) be the second derivative of b**4/8 + 17*b**2 + 6*b. Let r(w) be the first derivative of c(w). Let z(x) = -20*x**2. What is z(r(i))? -180*i**2 Let t(k) = -25634*k. Let o(s) = -s. Calculate o(t(f)). 25634*f Let v(m) be the first derivative of -6*m**2 + 6258. Let s(t) be the third derivative of t**4/8 - t**2. What is s(v(n))? -36*n Let z(j) = 7*j. Let a(u) = -3385*u**2. Calculate a(z(c)). -165865*c**2 Let k(o) = -2*o. Let q(l) = -38464*l. Determine q(k(g)). 76928*g Let p(o) = -2*o + 5. Suppose 6*u = 7*u - 5. Let s(d) = 2*d - 4. Let n(t) = u*s(t) + 4*p(t). Let y(l) = -3*l**2. Determine n(y(g)). -6*g**2 Let i(o) = -54*o. Let v(h) = -44390*h. Calculate v(i(q)). 2397060*q Let m(h) = -9*h**2 - 2. Let x(n) be the first derivative of -2*n**3/3 - 34. Give x(m(r)). -162*r**4 - 72*r**2 - 8 Let m(a) = -1 + 192*a**2 - 89*a**2 - 51*a**2. Let h(w) = -2*w. Calculate h(m(g)). -104*g**2 + 2 Let v(k) = 2*k**2. Let f(m) be the second derivative of -5/4*m**4 + 0*m**3 + 0 - 10*m + 0*m**2. Give f(v(g)). -60*g**4 Let p(h) = 7*h. Let b(o) = -2*o - 28 + 76 - 3*o - 29 - 25. Calculate b(p(c)). -35*c - 6 Let g(p) = 7*p. Let z(v) = -474*v - 7. Determine g(z(i)). -3318*i - 49 Suppose 0 = o - 2*n - 2, 0 = -3*n + 5*n. Let m(j) = 30*j**o + 20*j - 7*j - 13*j. Let p(h) = 2*h**2. Calculate m(p(z)). 120*z**4 Let h(n) = 480*n. Let o(d) = 64*d. Calculate h(o(a)). 30720*a Let f(k) = 11*k. Let l(m) = -300259*m**2. Determine l(f(c)). -36331339*c**2 Let l(d) = -2*d. Let j(u) = -1393*u + 106. Determine j(l(m)). 2786*m + 106 Let y(m) = 24*m. Let l(c) = 45*c**2 + 18*c - 9. Let f(a) = -43*a**2 - 16*a + 8. Let o(n) = -9*f(n) - 8*l(n). Determine o(y(s)). 15552*s**2 Let g(n) = 14*n**2 + 2. Let k(y) be the second derivative of -y**3/6 - 17*y - 2. What is k(g(x))? -14*x**2 - 2 Let s(z) = z. Let l(r) = 7 + 7 + 10 - 16 - 7*r. What is l(s(u))? -7*u + 8 Let u(x) = 3*x**2. Let o(b) = 10499*b. Determine u(o(h)). 330687003*h**2 Let t(x) = x**2. Let o(c) be the third derivative of c**6/45 + 41*c**4/24 - 30*c**2. Let f(i) be the second derivative of o(i). Give f(t(r)). 16*r**2 Let q(r) = 4*r. Let z(a) be the third derivative of 0*a - 5*a**2 + 0 + 0*a**3 + 7/24*a**4. Give z(q(x)). 28*x Let o(g) be the first derivative of g**6/90 - 10*g**3/3 + 6. Let d(v) be the third derivative of o(v). Let y(l) = 11*l**2. Calculate y(d(c)). 176*c**4 Let r(m) = 4*m**2 + 6*m + 5. Let c(i) = -23*i**2 - 34*i - 29. Let y(p) = -6*c(p) - 34*r(p). Let s(n) = -n. Determine s(y(d)). -2*d**2 - 4 Let g(m) = -14*m**2 - 2*m. Let p(c) = 11*c + 14. Let z(r) = -9*r - 12. Let u(w) = 6*p(w) + 7*z(w). Calculate u(g(b)). -42*b**2 - 6*b Let p(c) be the second derivative of -c**4/2 - 16*c - 6. Let u(k) = -36*k**2. Give u(p(q)). -1296*q**4 Let q(j) be the second derivative of 0 + j - 1/6*j**3 + 0*j**2. Let n(w) be the second derivative of -w**4/6 + 29*w. What is n(q(v))? -2*v**2 Let a(p) = -124*p + 2. Let u(b) = 15529*b. Give u(a(v)). -1925596*v + 31058 Let y(m) = -2*m. Let b(n) = -8*n**2 - 16*n - 4. Determine b(y(w)). -32*w**2 + 32*w - 4 Let y(p) = 37*p - 37*p - p**2 - p**2. Let l(g) = -190*g**2 + 47*g**2 - 13 - 52. Let o(m) = 13*m**2 + 6. Let x(j) = 6*l(j) + 65*o(j). Calculate y(x(r)). -338*r**4 Let r(v) = 2182*v + 1. Let b(u) = -2*u. Determine r(b(o)). -4364*o + 1 Let l(h) = 22*h**2. Let k(g) = 2*g. Let v(o) = -o**2 + 3*o. Let d(p) = -3*k(p) + 2*v(p). What is l(d(f))? 88*f**4 Let t(l) = 8*l. Let c(a) = a + 18914. Calculate t(c(y)). 8*y + 151312 Let w(b) = 2*b**2. Let s(k) = -k. Let a be s(-6). Let l(m) be the first derivative of 0 + m**3 - 2 + m**3 - a*m**3. Give l(w(z)). -48*z**4 Let y(a) = -10*a**2. Let x(q) be the third derivative of q**5/5 - 16*q**2. Calculate x(y(p)). 1200*p**4 Let v(x) = x**3 - 6*x**2 - 14*x - 7. Let z be v(8). Let l(f) = 0 - 19*f + 12*f + z*f + 3. Let k(i) = -2*i**2. Calculate l(k(q)). -4*q**2 + 3 Let c(o) = o + 20. Let h(u) = 128*u**2. Calculate h(c(n)). 128*n**2 + 5120*n + 51200 Let i(z) = 247 - 4*z**2 - 247 + z**2. Let d(n) = n**2. Give d(i(b)). 9*b**4 Let m(a) = a. Let t(z) = -10*z**2 - 3*z - 4. Let g(s) = 21*s**2 + 7*s + 11. Let y(l) = 6*g(l) + 14*t(l). Give y(m(q)). -14*q**2 + 10 Let b(u) = 2*u**2 - 2. Let n(j) = -8*j**2 + 9. Let x(t) = -18*b(t) - 4*n(t). Let i = -17 - -21. Let k(g) = g - i*g + 0*g + 2*g. What is k(x(v))? 4*v**2 Let i(t) = t**2. Let k(d) = 2*d**2. Let b = -21 - -16. Let n(c) = b*i(c) + 2*k(c). Let m(f) = 24*f. Give n(m(o)). -576*o**2 Let f(k) be the third derivative of k**5/60 - 1566*k**2. Let q(j) be the third derivative of j**4/4 + 2*j**2. Calculate q(f(w)). 6*w**2 Let z(i) = 2*i**2. Let f(n) = 2*n - 865. Give z(f(h)). 8*h**2 - 6920*h + 1496450 Let u(p) = -13*p - 6. Let f(j) = -185*j - 85. Let c(w) = -6*f(w) + 85*u(w). Let r(v) = 14*v. Calculate c(r(d)). 70*d Let w(y) be the first derivative of -1/3*y**3 + 0*y**2 + 2 + 2*y. Let q(x) be the first derivative of w(x). Let g(z) = z**2. Give g(q(t)). 4*t**2 Let r(g) = -g. Let z(t) be the third derivative of 7*t**6/180 + 3*t**3/2 - 13*t**2. Let s(a) be the first derivative of z(a). Calculate r(s(u)). -14*u**2 Let h(v) = -26*v - 23*v + 41*v + 13*v. Let g(r) be the third derivative of r**4/12 - r**2. Give h(g(o)). 10*o Let k(v) be the third derivative of 5*v**4/3 + 2*v**2 + 11. Let c(n) = -6*n**2. Determine c(k(p)). -9600*p**2 Let r(t) be the second derivative of 9*t**4/4 + t**2/2 - 257*t. Let n(o) = 2*o**2. Determine r(n(b)). 108*b**4 + 1 Let p(q) = -4*q. Let j(f) = 118254*f. Calculate j(p(x)). -473016*x Let s(u) = -2*u - 2*u - 4*u**2 - u**3 - 3 + 2*u**3. Let c be s(5). Let h(o) = 0 + 6*o - c*o + 0. Let n(i) = i**2. Calculate h(n(z)). 4*z**2 Let q(a) = 5*a + 8. Let h(t) =
{ "pile_set_name": "DM Mathematics" }
y 28. 17 What is the remainder when 986 is divided by 191? 31 What is the remainder when 442 is divided by 221? 0 Calculate the remainder when 30589 is divided by 10059. 412 Calculate the remainder when 1960 is divided by 1610. 350 Calculate the remainder when 521 is divided by 265. 256 Calculate the remainder when 15968 is divided by 3184. 48 Calculate the remainder when 1691 is divided by 36. 35 What is the remainder when 5593 is divided by 40? 33 Calculate the remainder when 19276 is divided by 6382. 130 Calculate the remainder when 219 is divided by 173. 46 Calculate the remainder when 356712 is divided by 196. 188 What is the remainder when 386184 is divided by 1058? 14 What is the remainder when 26723 is divided by 240? 83 Calculate the remainder when 150125 is divided by 11. 8 What is the remainder when 15212 is divided by 5046? 74 What is the remainder when 8528 is divided by 768? 80 What is the remainder when 543 is divided by 35? 18 What is the remainder when 23649 is divided by 4728? 9 What is the remainder when 278555 is divided by 334? 333 Calculate the remainder when 1438 is divided by 368. 334 Calculate the remainder when 258552 is divided by 52. 8 Calculate the remainder when 968268 is divided by 503. 496 What is the remainder when 21733 is divided by 302? 291 What is the remainder when 44274 is divided by 60? 54 Calculate the remainder when 114622 is divided by 193. 173 Calculate the remainder when 599134 is divided by 96. 94 Calculate the remainder when 5804 is divided by 2832. 140 Calculate the remainder when 104101 is divided by 43. 41 What is the remainder when 57252 is divided by 1169? 1140 Calculate the remainder when 8711 is divided by 62. 31 What is the remainder when 19414 is divided by 8? 6 Calculate the remainder when 73788 is divided by 81. 78 Calculate the remainder when 95152 is divided by 305. 297 Calculate the remainder when 16842 is divided by 8395. 52 Calculate the remainder when 14027 is divided by 1313. 897 Calculate the remainder when 6306 is divided by 487. 462 What is the remainder when 1079 is divided by 953? 126 Calculate the remainder when 1605 is divided by 281. 200 Calculate the remainder when 72782 is divided by 5196. 38 What is the remainder when 5870 is divided by 23? 5 Calculate the remainder when 147979 is divided by 47. 23 What is the remainder when 25828 is divided by 165? 88 What is the remainder when 33478 is divided by 429? 16 Calculate the remainder when 482918 is divided by 10. 8 What is the remainder when 291498 is divided by 329? 4 What is the remainder when 470494 is divided by 48? 46 Calculate the remainder when 2040 is divided by 508. 8 Calculate the remainder when 27164 is divided by 28. 4 Calculate the remainder when 8024 is divided by 331. 80 What is the remainder when 1102 is divided by 537? 28 What is the remainder when 1005 is divided by 115? 85 What is the remainder when 60034 is divided by 30013? 8 What is the remainder when 1196019 is divided by 185? 179 Calculate the remainder when 19776 is divided by 706. 8 Calculate the remainder when 1837 is divided by 269. 223 Calculate the remainder when 24538 is divided by 419. 236 What is the remainder when 34575 is divided by 28? 23 What is the remainder when 7825 is divided by 412? 409 What is the remainder when 17042 is divided by 19? 18 Calculate the remainder when 108203 is divided by 4703. 34 What is the remainder when 151780 is divided by 15177? 10 Calculate the remainder when 100461 is divided by 483. 480 Calculate the remainder when 1236 is divided by 114. 96 Calculate the remainder when 374253 is divided by 113. 110 What is the remainder when 721339 is divided by 25? 14 Calculate the remainder when 2480 is divided by 2477. 3 What is the remainder when 25544 is divided by 76? 8 Calculate the remainder when 3762 is divided by 73. 39 Calculate the remainder when 9639 is divided by 9638. 1 Calculate the remainder when 4705 is divided by 76. 69 Calculate the remainder when 4132 is divided by 1641. 850 What is the remainder when 344536 is divided by 263? 6 What is the remainder when 95822 is divided by 198? 188 What is the remainder when 2289294 is divided by 254365? 9 What is the remainder when 771148 is divided by 485? 483 What is the remainder when 253482 is divided by 1179? 1176 What is the remainder when 20807 is divided by 120? 47 Calculate the remainder when 25353 is divided by 44. 9 What is the remainder when 19706 is divided by 318? 308 Calculate the remainder when 2818 is divided by 899. 121 What is the remainder when 68743 is divided by 6? 1 Calculate the remainder when 3058 is divided by 3058. 0 Calculate the remainder when 4603 is divided by 907. 68 What is the remainder when 161180 is divided by 368? 364 What is the remainder when 30597 is divided by 214? 209 What is the remainder when 720 is divided by 211? 87 Calculate the remainder when 90149 is divided by 95. 89 What is the remainder when 65380 is divided by 151? 148 Calculate the remainder when 3694339 is divided by 118. 113 Calculate the remainder when 5945 is divided by 2972. 1 What is the remainder when 6806 is divided by 6783? 23 Calculate the remainder when 29167 is divided by 9. 7 What is the remainder when 109159 is divided by 9? 7 What is the remainder when 17169 is divided by 200? 169 Calculate the remainder when 5631 is divided by 315. 276 What is the remainder when 152360 is divided by 11719? 13 What is the remainder when 13352 is divided by 3280? 232 Calculate the remainder when 39615 is divided by 71. 68 Calculate the remainder when 293 is divided by 145. 3 Calculate the remainder when 3485 is divided by 3478. 7 What is the remainder when 5995 is divided by 77? 66 Calculate the remainder when 43779 is divided by 183. 42 Calculate the remainder when 2109 is divided by 971. 167 Calculate the remainder when 651 is divided by 109. 106 What is the remainder when 1744 is divided by 97? 95 What is the remainder when 6267 is divided by 49? 44 Calculate the remainder when 104036 is divided by 7999. 49 What is the remainder when 189 is divided by 164? 25 What is the remainder when 342018 is divided by 27? 9 What is the remainder when 6705 is divided by 340? 245 What is the remainder when 7204 is divided by 2380? 64 Calculate the remainder when 52426 is divided by 120. 106 Calculate the remainder when 5173 is divided by 283. 79 What is the remainder when 70464 is divided by 198? 174 What is the remainder when 8133 is divided by 1648? 1541 What is the remainder when 11962 is divided by 11957? 5 Calculate the remainder when 57585 is divided by 72. 57 Calculate the remainder when 277691 is divided by 146. 145 What is the remainder when 31292 is divided by 1080? 1052 What is the remainder when 433709 is divided by 915? 914 Calculate the remainder when 5158290 is divided by 142. 140 Calculate the remainder when 476930 is divided by 34. 12 What is the remainder when 16571 is divided by 8237? 97 What is the remainder when 122460 is divided by 2783? 8 Calculate the remainder when 208338 is divided by 20. 18 What is the remainder when 206842 is divided by 9? 4 Calculate the remainder when 27706 is divided by 115. 106 Calculate the remainder when 6422 is divided by 3189. 44 What is the remainder when 2944 is divided by 676? 240 Calculate the remainder when 16383 is divided by 149. 142 What is the remainder when 1122 is divided by 543? 36 What is the remainder when 183 is divided by 103? 80 What is the remainder when 5476 is divided by 2114? 1248 Calculate the remainder when 625 is divided by 40. 25 What is the remainder when 126226 is divided by 314? 312 What is the remainder when 16270 is divided by 5415? 25 Calculate the remainder when 1637989 is divided by 23. 21 Calculate the remainder when 77797 is divided by 3536. 5 Calculate the remainder when 20218 is divided by 348. 34 Calculate the remainder when 17807 is divided by 8900. 7 What is the remainder when 208415 is divided by 1? 0 What is the remainder when 1911 is divided by 76? 11 What is the remainder when 65268 is divided by 66? 60 What is the remainder when 85277 is divided by 80? 77 Calculate the remainder when 10756 is divided by 133. 116 What is the remainder when 291719 is divided by 114? 107 What i
{ "pile_set_name": "DM Mathematics" }
3*x. Suppose 0 = 2*c + 6, -x*o - 5*c + 5 - 4 = 0. Let q = o - -1. Solve q*k = k for k. 0 Let q be (1 - (-28)/(-40)) + 3087/210. Solve q*j + 103 = 13 for j. -6 Let p be (1 + 0)*(-2 - -5 - -1). Suppose p - 29 = -5*f. Suppose 5*z - 5*r - f = 0, -4*r = -2 - 2. Solve -z*s - 3 = 3 for s. -3 Let i be (-3)/(-2) - (-3)/2. Let u = -15 - -15. Suppose u = 11*c - 12*c + 1. Solve 4*h - i = c for h. 1 Let o(c) = 0*c**2 + 20 + 3555*c**3 - 3556*c**3 + 6*c**2. Suppose -t = -3*q + 5*q, -5*t + 15 = 5*q. Let n be o(t). Solve -4*m + n = m for m. 4 Let m(k) = 2*k**3 - 73*k**2 + 169*k + 42. Let g be m(34). Solve -419 = g*x - 443 for x. 3 Let v be (-15)/(-1) + (-205 - -207). Solve v*i = -18*i - 35 for i. -1 Let s = -165 + 435. Let x = -270 + s. Solve x*v - 1 = v for v. -1 Suppose 0 = 3012*k - 3011*k - 36. Solve -k = 181*i - 175*i for i. -6 Suppose 2*n = 4*o - 460, -4*o + 13*n + 458 = 10*n. Let s = o + -108. Solve 0 = s*b + b for b. 0 Suppose 98 + 34 = -2*d. Let r = d + 73. Solve r*p + 15 = 4*p for p. -5 Let k(i) = -202*i + 404. Let r be k(2). Solve 980*v - 976*v - 4 = r for v. 1 Suppose 179 = 3*f + 4*y, 12 + 122 = 2*f - y. Suppose 19 = p + 4*r - 6, 0 = p - 4*r - f. Solve 0 = 48*i - p*i + 9 for i. -3 Suppose -19 - 29 = -3*p. Suppose -9*v + p = -5*v. Suppose 4*o - 5*m - 21 = 0, 3*o + m + 5 = v*o. Solve o*f - 4 = 2*f for f. 2 Let c(i) = i**2 - 21*i + 122. Let h be c(14). Solve -h*o = -0*o - 48 for o. 2 Let w be (-2)/6*28/(-14)*18. Solve -w*d - 51 + 3 = 0 for d. -4 Suppose -10*p = 18*p - 112. Suppose 5*o - 203 = 4*w, -4*o - p*w + 81 = -103. Solve 9*u = 16 - o for u. -3 Let r(o) = -316*o + 641. Let h be r(2). Solve 33*j - 144 = h*j for j. 6 Suppose 28*h + 20 = 32*h. Suppose -5 = 5*y, 3*d - 9 = 8*y - h*y. Solve -d = 3*b + 1 for b. -1 Let i = 304 - 915. Let y = 613 + i. Solve 3*v + y = 2 for v. 0 Suppose c + 42 = 8*c. Let x(g) = -18*g + 24 + 15*g + c*g. Let m be x(-7). Solve n = 2*n - m for n. 3 Suppose -l = 3*c + 194 + 294, 646 = -4*c + l. Let o = c + 171. Solve 0 = -5*t + 2*t - o for t. -3 Let w be (-7 + 3 - -2)*-2. Suppose -2*q - 6*c + 2*c + 10 = 0, 4*q + 5*c = 17. Solve -3*g - q = -w*g for g. 3 Suppose -5*w - 1 + 11 = 0. Suppose -306*o + 125 = -1099. Solve -w*s + s - o = 0 for s. -4 Let z(g) = 3*g**2 + 27*g + 27. Let o be z(-8). Suppose -19 = -4*i + v - 7, 0 = o*i + 2*v - 9. Solve -5 = 4*h + i for h. -2 Suppose -5*o - 12 = -o. Let c = 6 + o. Let t be -23 - ((-4 - 1) + -18). Solve t = -i + c for i. 3 Let o = 2170 - 2164. Suppose 40 = 4*y - 4*g, y - 7 = -2*g + 6*g. Solve -y*b + 10 = -o*b for b. 2 Let s be 3/6 - 2/(-4). Suppose 78 = -328*z + 406*z. Solve s = -v - z for v. -2 Suppose -3*r - 12 + 1 = 2*v, -v = 4*r + 18. Solve 32*b = v*b for b. 0 Suppose -4*w + 24 + 4 = 0. Suppose -w*l = -10*l. Suppose l = 4*q + o - 10, -2*o + 2 = -o. Solve q*r = -3*r for r. 0 Suppose 5*l - 24 = -9. Suppose 0 = -t - p + 3, -5*t - 2*p = -9 - l. Let r be 3/(-6)*(4 - 2) + 7. Solve t*z + r = -0*z for z. -3 Let v be (3*1/3)/((-6)/(-30)). Suppose -81 = v*q + 169. Let c = 52 + q. Solve 0*d = -c*d + 8 for d. 4 Suppose -2*j - 3*f + 854 = 0, 6*f + 1035 = 3*j - 288. Solve 0 = 425*q - j*q - 32 for q. -4 Suppose 0 = 18*a - 19*a + 168. Let g = 438 - a. Suppose 10*b = -90 + g. Solve -5*r = b + 2 for r. -4 Suppose 17 = -h + 30. Suppose 0 = -g - 4*d + 15, 10*g = h*g + d - 12. Solve y - 4*y = g for y. -1 Let m be (52/14)/((-8)/1680*-15). Solve -20*y + 33*y = -m for y. -4 Suppose -30 = 2*r - 3*o - 2*o, -7 = -3*r + o. Solve 68*g = 67*g + r for g. 5 Let i = -4286 + 4286. Solve -5*b - 2*b - 21 = i for b. -3 Let h be ((-30 - -28) + 25/15)/((-2)/14010). Solve -h*v = -2338*v for v. 0 Let o be 7760/25 - 8/20. Let f = o - 309. Solve 2*k = -f - 3 for k. -2 Suppose f + 5*x = 30, 2 = 3*f - 4*x + 7. Suppose 6 = -5*d - 4, -2 = -f*i - 4*d. Solve -4 = 3*n + i for n. -2 Let y = 1 - -3. Suppose 3 = 4*b + 7, -5*n + 193 = 2*b. Suppose -38*z = -n*z. Solve -g - y = -z for g. -4 Suppose -3 = 3*v - 78. Suppose -v = 47*d - 52*d. Solve -d = 6*j - j for j. -1 Suppose 4*l - 4*t = 344, 4*t = -4*l - 0*l + 352. Let p = 56 - l. Let x = 37 + p. Solve 3*g - x*g + 15 = 0 for g. 5 Suppose -236*f - 96 = -4*i - 231*f, -2*i - 5*f + 78 = 0. Solve -4*r = -i + 45 for r. -4 Let p be (-56)/7*7*12/8. Let l = 96 + p. Solve 4*w + 32 - l = 0 for w. -5 Let u(h) = -4*h**3 - 8*h**2 - 13*h - 26. Let q be u(-3). Solve 5*s + 39 - q = 0 for s. 2 Let w(m) = 34*m + 605. Let s be w(-17). Solve -77 = 10*r - s for r. -5 Let c(s) = 5*s**2 - 4*s - 2. Let h be c(-1). Suppose -h*m = -2*f - 2*m + 14, f = -m. Suppose 0 = -0*u + f*u - 12. Solve -j + 4*j + u = 0 for j. -2 Let b = -275 + 280. Let s be (-2)/(b/5*(-6)/213). Solve 0 = 74*p - s*p + 9 for p. -3 Let k(m) = m**2 + 10*m - 9. Let x be k(-11). Suppose -4*c = -5*s - 6, -5*c + 29 = x*s + 5. Suppose -25*t + 26*t - s = 0. Solve 3 = g + t for g. 1 Let h be (-236)/885 - 64/(-15). Let o(k) be the first derivative of -k**2/2 + 7*k - 1. Let m be o(h). Solve r - 2*r = -m for r. 3 Let o = -12867 + 13058. Solve -47*c - o + 3 = 0 for c. -4 Let w = 297 + -252. Suppose -163 = -4*n + 5*h, -24 = -2*n + 2*h + 58. Let z = w - n. Solve -c = -4*c - z for c. -1 Let w be 3/(-30*(-1)/70). Suppose 4*b - 2*b = -4*x + 216, -5*b - 188 = -4*x. Solve -x = -w*f - 17 for f. 5 Suppose -3549 = -595*s + 602*s. Let p = 520 + s. Solve -43 = 10*f - p for f. -3 Suppose -33*i = -5*i + 2578 - 2690. Let r(n) = 3*n**2 + n. Let q be r(-3). Solve -i*k - 8 = -q for k. 4 Suppose -185*u - 1526 + 4301 = 0. Solve u*y + 15 = -15 for y. -2 Let b be (-4)/(-16)*-4 - -5. Suppose b = 2*a + 2*g, -5*a + 3*g = -12 - 14. Solve -q = 3*q + a for q. -1 Suppose -25 = -5*t - 482*q + 477*q, 5*q = -t + 9. Solve 0 = t*a - 667 + 639 for a. 7 Suppose c = 4*o + 27, -c - 51 = -6*c - o. Let k = -12359 - -12373. Suppose c*n + 6 = k*n. Solve n*u - 5 + 7 = 0 for u. -1 Let z be ((-12)/(-8))/((3/2)/3). Let l be 1/((55/(-10))/(-11)). Suppose 2*y + l*y - 16 = -5*t, 3*t - y = -4. Solve -2*v - z - 7 = t for v. -5 Let h be ((-4)/(-10))/((-432)/(-135))*24. Let m(p) = -p**3 + 10*p**2 - 8*p - 9. Let u be m(9). Solve -h*d + 7 - 13 = u for d. -2 Let r(o) = 8*o + 41. Let w be r(-5). Suppose q - w = 3*a + 14, -5*q = 2*a - 41. Solve 0 = q*t - 7*t + 4 for t. -2 Suppose -77*f + 65*f = -52*f + 3240. Solve -243*k - f = -234*k for k. -9 Suppose 261 = -30*r + 13101. Solve -r*i = -425*i + 9 for i. -3 Let d(u) = -u - 1. Let a be d(-7). Suppose -4*w - 3*q = -94, -5*q - 35 = -3*w + 2*w. Suppose 129 = 52*h + w. Solve -h*k = -a*k + 8 for k. 2 Let n = 0 + 131. Let p(o) = 145*o + 452. Let l be p(-4). Let z = l + n. Solve 0 = -3*r - z + 6 for r. 1 Let k(f) = -19*f + 179. Let y = 20 - 12. Let w be k(y). Solve -30*o + w*o = 0 for o. 0 Suppose 3*l + 400 + 884 = 4*p, -3*p - 5*l = -992. Solve -320 = y - p for y. 4 Suppose -52 = -m - 24. Suppose -m*d = -25*d - 30. Solve 12 = d*p - 14*p for p. -3 Suppose 4*f - 3*x - 75 = -0*x, -4*f = 5*x - 99. Let u be 280/f*3/4. Solve u - 9 = -q for q. -1 Let g(k) = k**3 + 7*k**2 - k - 1. Let f be g(-7). Suppose -2*x - f + 62 = 0. Let t be ((-16)/(-28))/(4/x). Solve 9 = t*n + 1 for n. 2 Let j(x) = -6*x + 444. Let z be j(-6). Solve -489*f + z*f = -18 for f. 2 Let l(d) = 4*d - 27. Let f be (-12)/(16/(-4)) + -3. Let w be l(f). Let g be ((-5)/(-3))/(w/(-81)). Solve -g*h + 8 = -2 for h. 2 Let h be (-30)/(-60) + (1 - 3/2). Suppose m = -3*m + 8. Suppose 6 = m*t - 16. Solve h = -4*s + 5 + t for s. 4 Let b be 2 - (-3 + (-4 - 16)). Let r = -25 + b. Suppose 8*h - 2 - 14 = r. Solve 0 = x + h*x for x. 0 Let v(h) = 24*h + h**2 - 20 + 74 - 2*h**2. Let y be v(26). Solve -y*i + 0 = 2 for i. -1 Suppose v = 292 - 249. Solve -13*g + 180 = -v*g for g. -6 Let n = 52 - 103. Let g = -40 - n. Suppose -5*d = -4*z - 9, -z = -4*d + d + g. Solve 5*o - 10 = d for o. 3 Suppose 0 = 17*p - 919 - 866. Let x = 105 - p. Solve x = -5*w - 2 + 12 for w. 2 Let c(g) = -g**2 - 4*g + 26. Let h be c(-6). Suppose a = -5*d + h, 3*a - 26 = 3*d + 16. Solve -7*b = -a*b for b. 0 Let c = -11198 - -11545. Solve c*g = 352*g + 25 for g. -5 Let f(v) = 7*v**2 + 9*v + 18. Let g be f(-4). Let q = 95 - g. Solve -4*b - q = -9 for b. 2 Let q = -269 - -269. Suppose -2*i + 5*u - 13 = 4, q = 4*i + u - 21. Solve 0 = 3*r + i*r - 21 for r. 3 Let f(v) = 5*v - 46. Let o be f(19). Suppose -o*c + 33 = -38*c. Solve -r - c*r = 8 for r. -2 Let z(c) = -c**3 - 6*c**2
{ "pile_set_name": "DM Mathematics" }
git of y/(2/(-2 - 6))? 8 Let x(f) = -f**3 - 1. Let p(a) = 5*a**3 - 2*a**2 + 5*a + 10. Suppose -2*b = 2*y - 0 + 4, -12 = -3*y. Let u(w) = b*x(w) - p(w). What is the units digit of u(-3)? 2 Let l(c) = 2*c - c + 4 + 6. What is the units digit of l(-8)? 2 Let u(v) = -2*v**3 - 3*v**2 + v + 2. Let i be u(-2). Suppose i = -3*a + 22. What is the units digit of a? 6 Suppose -18*q = -21*q + 198. Let y = q - 20. What is the tens digit of y? 4 Let p = 4 - -3. Let l(f) = -2*f - 7. Let x be l(-5). Let c = p - x. What is the units digit of c? 4 Let y(n) = 0 - 3*n - 1 + 2. What is the units digit of y(-2)? 7 Suppose -s + 0*b - 6 = -4*b, s - b = 0. What is the units digit of 18/s + (4 - 5)? 8 Suppose -3*k - 11 = -2*n, -2*n + 5*k = 3*n - 25. Suppose -3*v + n*h - 5 = -16, 3*v - 2*h = 19. What is the units digit of v? 9 Let p be ((-6)/(-9))/((-3)/(-18)). Suppose -5*r + 4*y = -86, p*r - 19 = 3*r - y. What is the tens digit of r? 1 Suppose 3*l - 489 = -3*q, -8*q - 815 = -5*l - 3*q. What is the units digit of l? 3 Let w(o) be the second derivative of o**6/720 + o**5/20 - o**4/4 + 2*o. Let n(v) be the third derivative of w(v). What is the units digit of n(6)? 2 Suppose -t = 2*t + 6. Let l(h) be the second derivative of -h**3/3 - 3*h**2/2 - 2*h. What is the units digit of l(t)? 1 Suppose -3*c + n + 69 = -2*n, c + 5*n = 11. What is the tens digit of c? 2 Let n(h) = -30*h + 16. What is the hundreds digit of n(-4)? 1 Let h be 2 + -2 - (-1 - 0). What is the tens digit of (7 - -7) + h + 0? 1 Let x be ((-4)/5)/(4/(-70)). Suppose -x = -h + 3. What is the units digit of h? 7 What is the tens digit of (-222)/(-4) - 5/10? 5 Let d be 3/(5/(10/3)). Suppose 2*z = 54 + 6. Suppose -d*t - t + z = 0. What is the tens digit of t? 1 What is the tens digit of 4 + 3/(-6)*-30? 1 Suppose n - 10 + 4 = 0. Let m(c) = c - 7. Let r be m(3). What is the units digit of 1/2 - n/r? 2 Let y(i) = 2*i + 54. What is the tens digit of y(0)? 5 Let b(x) = 2*x**2 - 5*x - 9. Let n(i) = i**2 - 2*i - 5. Let r(m) = 3*b(m) - 5*n(m). Let a be r(6). Suppose a*s - 26 = 14. What is the units digit of s? 0 Let s(y) = 6*y**3 - 1. Let w be s(1). Suppose 2*x + k - 3 = -4, -w*k - 15 = 5*x. What is the units digit of x? 2 Suppose -5*q = -2*d - 4, -5*d - 3*q + 15 = -6. Suppose -2*l + d*h + 4 = -15, -4*h + 68 = 4*l. What is the units digit of l? 4 Let q(d) = -d + 2. Let u be q(5). Let k = -5 - u. What is the units digit of k/(-8) - (-124)/16? 8 Suppose -3*s - 2*s = -145. What is the tens digit of s? 2 Suppose -2*c = -5*c + 204. Suppose -4*t = 12 - c. What is the units digit of t? 4 Let s(f) = f**2 - 2*f + 1. Let k be s(1). Suppose k*b = 5*b - 40. What is the units digit of b? 8 Let p(w) = 2*w - 4. Let j be p(-5). Let a = j + 30. What is the units digit of a? 6 Let o be (-2)/8 - 9/12. What is the units digit of (o/(-1))/(1/15)? 5 Suppose 4*l + 16 = 4*c, -5*c = 4*l - 0*c - 2. Let b be (l + 1)*2*-2. Suppose 2*t = -10, b*t + 10 = -0*z - 2*z. What is the units digit of z? 5 Let u(i) = -i**2 + 30. What is the units digit of u(0)? 0 Suppose 0 = -3*b + 12, -4*y - 6*b + 3*b + 24 = 0. Suppose o = 2*o - 3*k - 13, 4*o = -y*k + 22. What is the units digit of o? 7 Suppose -10*t - 5*g - 78 = -12*t, 3*t - 4*g - 103 = 0. What is the units digit of t? 9 Suppose 33 = 5*g - 47. Suppose 7 = -x + g. What is the units digit of x? 9 Suppose 0 = -4*q + 4*j + 616, -3*q + 615 = -4*j + 148. What is the tens digit of q? 4 Let k be ((-1)/2)/((-1)/(-2)). Let c(z) = -z**3 + 8*z**2 + 8*z + 2. Let i be c(9). Let s = k - i. What is the units digit of s? 6 Let d(f) = 7*f**2 + f. Let l be d(-1). Suppose -q + 18 + l = 0. What is the units digit of q? 4 What is the units digit of 3 - -66 - (1 + 3)? 5 What is the units digit of (-3)/(-6)*(-402)/(-3)? 7 Let q = -40 + 12. Let p = q + 42. What is the units digit of p? 4 Let a(i) = -i**2 + 4*i. What is the units digit of a(3)? 3 Let v be (18/24)/(1/32). Suppose -o - 4*i + v = -5, 5*o + 2*i - 73 = 0. What is the tens digit of o? 1 Let b = 40 - 19. Let h = 0 + b. What is the units digit of ((-4)/(-3))/4*h? 7 Suppose 2*a = 73 + 21. What is the units digit of a? 7 Let x(d) = -d**2 + 5*d - 4. Let k be x(3). What is the units digit of ((-1)/k)/(4/(-24))? 3 Suppose -6*h + 1 = -5*h. Suppose -5 = 3*t + h. Let b = t + 7. What is the units digit of b? 5 Let s(a) = -3*a + 14. What is the tens digit of s(-18)? 6 Let c be (8/(-3))/((-1)/(-183)). What is the units digit of (-18)/99 - c/22? 2 Let l(d) = -d**2 - 6*d - 11. Let m(n) = n**2 + 6*n + 10. Let y(k) = -5*l(k) - 6*m(k). What is the units digit of y(-4)? 3 Let s = 37 + -21. Suppose 2*t + 4 - s = 0. Let n = t + -5. What is the units digit of n? 1 Suppose -2*f = 2*f - 24. Suppose 5*k + 50 = 2*y, 4*y - 4*k = f*y - 32. What is the tens digit of y? 2 Suppose n + 5 = 3, 0 = -3*q + 5*n - 8. Let x = 8 + q. Suppose 0 = c + 5*t - 36, -x*c + 48 = c + 3*t. What is the units digit of c? 1 Suppose 0*l - 3 = 3*w - 3*l, 3*w - 5*l = -9. What is the tens digit of 15/3*(w - -3)? 2 What is the tens digit of (-930)/(-24) - (-3)/12? 3 Let z = -1 + 13. What is the tens digit of z/((-1)/(1/(-1)))? 1 Let r(z) = -z. Let l be r(-3). Let g = l + 1. Suppose -g*k + 0*k = -12. What is the units digit of k? 3 Let a(f) = 12*f - 2. Let u be a(5). Let k = u - 14. Let m = -28 + k. What is the tens digit of m? 1 Let g be ((-24)/30)/((-4)/10). Suppose g*v + 11 = 1. Let c(x) = x**3 + 6*x**2 + 3*x - 3. What is the units digit of c(v)? 7 What is the units digit of (1/3)/((-8)/(-2568))? 7 Suppose -2*o = -3*f + 4*f + 8, 0 = -2*f + 5*o + 11. Let z(j) = -j. Let p be z(f). What is the units digit of ((2 - 1)*14)/p? 7 Let m(b) = b - 1. Let o be (1 + -2)/((-1)/5). Let r = o + 0. What is the units digit of m(r)? 4 Suppose -108 = -5*c + 4*c. What is the units digit of c? 8 Suppose 2*b = 2 - 16. Let r be 159/15 - (-2)/5. Let m = b + r. What is the units digit of m? 4 Suppose 0 = 3*y - 2*y + 3*a - 52, -3*y + 4*a + 208 = 0. What is the tens digit of y? 6 Let k be ((-6)/15)/(1/(-5)). Suppose -2*a - n = -a, 4*a - 18 = 5*n. Suppose h + a = k*h. What is the units digit of h? 2 What is the tens digit of 3 + 5/(5/71)? 7 Let z = 13 - 5. What is the units digit of (18/(-12))/((-6)/z)? 2 Let q = 4 - 1. What is the units digit of q + 1 - (1 + -1)? 4 Let u be 16/20*10/4. Suppose -b = -4*h - 26, 7 = -5*h - 3*b - 17. What is the units digit of (14 + u)*(-3)/h? 8 Let m = 32 - 23. Let i = -7 + m. Suppose 0 = -i*h - 2*h + 24. What is the units digit of h? 6 Let n(a) = a**2 + 2*a - 2. Let b = 3 - 7. Let s be n(b). Suppose -s*c + c = -4*w - 73, -c + 3*w + 19 = 0. What is the units digit of c? 3 Let d be ((-1)/2)/((-2)/28). Let l be -46 - -1 - 7/d. What is the units digit of 6/(-9) - l/6? 7 Let h be (14/(-1))/(1*-2). Let y(l) = -3*l - 6. Let a be y(-3). Let f = h + a. What is the tens digit of f? 1 Let a(w) = 6 + 12*w**2 + 3*w - 11*w**2 - 8*w. What is the units digit of a(4)? 2 Suppose 0 = 2*m - 8*w + 3*w - 16, 0 = -5*m + 4*w + 23. Suppose c + f - 6 = 0, 4*c + m*f + 2*f = 24. Let u = c + -4. What is the units digit of u? 2 Let b be (-1)/(-5) + 34/5. Suppose -m + 3*u = 0, 2*m + u + 0*u - b = 0. What is the units digit of m? 3 Suppose 40 = -3*v + 4*v. What is the units digit of v? 0 Suppose -c = -0*c - 30. Let a = -18 + c. What is the tens digit of a? 1 Let y be (-3 - (-30)/8)*4. Suppose 5 + 46 = 3*g + y*o, -5*g + 83 = 4*o. What is the tens digit of g? 1 Suppose 0 = -f - 0 + 3. Suppose -f*n - 2*n = -25. Let y = n - -2. What is the units digit of y? 7 Let g = -130 + 136. What is the units digit of g? 6 Let d = 1 - -1. Suppose d*k = -k + 33. What is the tens digit of k? 1 Let b = 12 - 8. Suppose 0 = -5*j + 14 - 14. Suppose r - b - 5 = j. What is the units digit of r? 9 Let p(j) = -j**2 - 10*j - 6. Let i be p(-7). Let s(o) = o**2 - o + 1. Let x be s(3). Suppose h - 3*q - 18 = -x, -h + 5*q = -i. What is the units digit of h? 5 What is the units digit of (-18)/(-12)*4/3? 2 Let n(k) = -13 + k + k - 2. What is the units digit of n(10)? 5 Let w = 53 - 25. What is the units digit of w? 8 Let s(u) = -3 - 1 - u + 4. What is the units digit of s(-5)? 5 Let n(k) = -6*k**2 - k**3 - 7*k + 27 - 27. What is the units digit of n(-6)? 2 Let d(n) be the second derivative of 2*n**4/3 - n**3/6 + 2*n. What is the units digit of d(2)? 0 Let p(u) = 3 + 5 - 6 + u. Let v
{ "pile_set_name": "DM Mathematics" }
the second derivative of 3*g**5*z - 59335*g**4*z**3 + 758*g*z**3 + 11*g*z**2 - 75*g*z wrt g. 60*g**3*z - 712020*g**2*z**3 Find the second derivative of -1446878*f**5 - 186*f**3 - 34446*f - 1222. -28937560*f**3 - 1116*f What is the second derivative of 598501*w**5 + 7*w**3 + 30733*w + 152 wrt w? 11970020*w**3 + 42*w What is the third derivative of 261148996*p**4 - 93*p**2 - 301339*p + 2 wrt p? 6267575904*p Find the third derivative of 13498218*s**3 + 508108*s**2 - 3*s wrt s. 80989308 Find the third derivative of -43568001*k**3 + 4081957*k**2. -261408006 What is the second derivative of -i*m*u*w**3 + 9*i*m*u*w**2 + 4555*i*m*w**2 + 70*i*u**2*w**3 + 199262*m*u**2*w**3 + 3*m*u*w**3 - m*w**3 - 7*w**2 wrt u? 140*i*w**3 + 398524*m*w**3 Find the second derivative of -67194376*d**2 - 64962924*d wrt d. -134388752 What is the third derivative of 11*l**4 - 1684195*l**3 - 17764364*l**2 + 2 wrt l? 264*l - 10105170 What is the third derivative of -14981171*i**2*j**2*t**3 + 13*i**2*j + 233*i**2*t - i*j**2*t**2 + 3*j*t**2 + 153*t wrt t? -89887026*i**2*j**2 Find the second derivative of -1974873*k**4 + 128474183*k. -23698476*k**2 Find the second derivative of -39675930*l**3 + l**2 + 12888448*l. -238055580*l + 2 What is the second derivative of -13667*c**2*p**2 + 2*c**2*p + 11*c**2 - 1107*c*p - 8*c - 289*p**2 wrt c? -27334*p**2 + 4*p + 22 Find the third derivative of -2*c**4 + 234*c**3*x - 726*c**3 - 1068*c**2*x - 71*c*x - c wrt c. -48*c + 1404*x - 4356 Find the second derivative of p**4 + p**3 - 16047214*p**2 - 2101*p + 3685 wrt p. 12*p**2 + 6*p - 32094428 Find the second derivative of -2325360*u**3 + 6207164*u. -13952160*u What is the second derivative of 270038990*h**3 - 1518783*h + 96? 1620233940*h Find the third derivative of 45712592*a**2*z**3 + 22727*a**2*z + 4*a**2 + 58*a*z**2 wrt z. 274275552*a**2 What is the first derivative of -557*a**2*g*o - 5*a**2*o + 152*a*o**2 - 766*g*o**2 - 492*o wrt g? -557*a**2*o - 766*o**2 Find the third derivative of -134993269*b**6 + 27374*b**2 - 1594*b wrt b. -16199192280*b**3 What is the third derivative of -528431589*p**3 - 775570182*p**2? -3170589534 What is the third derivative of 9*i**2*w**3 + 424*i**2*y + 6*i*w**3*y - 4*i*w - i + 3057*w**3*y - 2*w**2 - 2*w*y - y wrt w? 54*i**2 + 36*i*y + 18342*y What is the second derivative of 62850932*d*m**3 - d*m + 3*d - 1068*m - 13 wrt m? 377105592*d*m What is the first derivative of -81563297*v**4 - 8073236? -326253188*v**3 Find the second derivative of 3832*d**2*r**2 - 223785*d**2*r - d**2 + 14270*d*r**2 + 58*d wrt r. 7664*d**2 + 28540*d Find the second derivative of 3*o*r**2 + 313*o*r - 1718598*r**2 - 34334*r wrt r. 6*o - 3437196 Find the first derivative of 608514267*q**4 + 742880734 wrt q. 2434057068*q**3 Find the second derivative of 17*c*n**3 - 46021*c*n**2 - 45*c*n - 14*c + n - 131 wrt n. 102*c*n - 92042*c What is the derivative of 191572*c**3 + 19*c**2 - 7303956? 574716*c**2 + 38*c Differentiate -239933731*p*u**2 - 2201*u**2 - 34775*u wrt p. -239933731*u**2 What is the third derivative of 13793820*n**3 + 2*n**2 + 10*n - 2802 wrt n? 82762920 Find the third derivative of 879512*d**3*g**3*r**2 + 2*d**3*g**3*r + d**2*g**3*r**2 - 2*d**2*g**2 - 2375*d**2*g*r**2 + 2*d*g + 6*g**3*r + 3*g**2 wrt d. 5277072*g**3*r**2 + 12*g**3*r What is the second derivative of -73877468*h**3 - 120607937*h wrt h? -443264808*h Find the third derivative of 2*q**5 - 1146*q**4 + 89696*q**3 + 429533558*q**2 wrt q. 120*q**2 - 27504*q + 538176 What is the third derivative of -28282437*b**4 - 1749528*b**2? -678778488*b What is the third derivative of 5740*o**4*t - 6*o**4 + 556*o**3 + 286*o**2*t - 89*o**2 + 2*o*t - 30 wrt o? 137760*o*t - 144*o + 3336 What is the derivative of 90275098*d - 168437935 wrt d? 90275098 Find the second derivative of 4251881*q**3 - 5*q**2 + 5490*q - 309 wrt q. 25511286*q - 10 What is the third derivative of -2*j**5 + 2565716*j**4 + j**3 + 1402*j**2 - 1303? -120*j**2 + 61577184*j + 6 Find the third derivative of -c**4*q - 4910972*c**3*q - c**2*q - 5*c**2 - 3*c*q - 2*q - 3770 wrt c. -24*c*q - 29465832*q Find the third derivative of -980206*h**3*v*y**3 + 6*h**3*y**3 - 2*h**3 + 7*h**2*y - 2*h*v + 15971*v*y**2 wrt y. -5881236*h**3*v + 36*h**3 What is the first derivative of -1354*i*r**2 - 214742*i*r + 139243127*r**2 wrt i? -1354*r**2 - 214742*r What is the derivative of 67*n**2 + 355561*n*z - 144392657*z wrt n? 134*n + 355561*z What is the derivative of 771607197*x**3 - 965618595 wrt x? 2314821591*x**2 What is the third derivative of 1007524*o**2*u**6 - 106596*o**2*u**2 - 5*u**3 + 7*u**2 wrt u? 120902880*o**2*u**3 - 30 Find the third derivative of 58702608*l**3*m - 7*l**2 + 9*l*m + 94419*m wrt l. 352215648*m What is the third derivative of -4161021*i**6 - 3*i**2 + 3279*i + 154 wrt i? -499322520*i**3 What is the third derivative of -22358*d**6 + 2*d**4 + 22*d**3 - 36*d**2 + 5871*d - 3 wrt d? -2682960*d**3 + 48*d + 132 Differentiate -27096*d**2 + 985*d - 112172657 wrt d. -54192*d + 985 Find the second derivative of -3682*n*s**2*w*x - 2*n*s*w**2*x + 6*n*w*x - 102*n*x - 9*s**2*w**3 + 27*s**2*w*x + 13*s*w**3*x + 2*s*w**3 - 5*s*x wrt s. -7364*n*w*x - 18*w**3 + 54*w*x What is the third derivative of 2*g**5 + 2069045*g**3*p**3 - 112*g**2*p**3 - 3*g**2*p**2 - 83*g**2*p + 3*g*p**2 - 2*p wrt g? 120*g**2 + 12414270*p**3 What is the second derivative of -3885414*s**2 - 13888060*s? -7770828 What is the third derivative of -4*b**5 + b**4 + 10304*b**3 + 109*b**2 - 1153780? -240*b**2 + 24*b + 61824 Differentiate -38684863*l + 5736578 with respect to l. -38684863 Differentiate 37012006*g**2 - 35358324. 74024012*g What is the first derivative of -358104279*s + 217892604? -358104279 Find the second derivative of 9*f**3 + 7816867*f**2 + 91745003*f. 54*f + 15633734 Differentiate 27489*i**3*l**2 + 14*i**3*l - 57*i**3 - 4*i**2 - 154*i wrt l. 54978*i**3*l + 14*i**3 What is the second derivative of -6939859*t**2 - 6824665*t wrt t? -13879718 What is the third derivative of -2*b**2*w**2 + 7652*b**2*w*y**3 - 2*b**2*y**2 - 88*b*y**3 + 2*w**3*y**3 - 4978*w**3*y**2 + 27*w*y**2 wrt y? 45912*b**2*w - 528*b + 12*w**3 Find the first derivative of 10072*h**4 - 20*h**3 - h + 4183070. 40288*h**3 - 60*h**2 - 1 What is the derivative of -98*l**4 - 2081*l**3 + 72*l**2 + 238748870? -392*l**3 - 6243*l**2 + 144*l Find the third derivative of 57171708*h**3 - 4*h**2 - 124468937*h wrt h. 343030248 Differentiate -2823227*b + 6583063. -2823227 What is the first derivative of -2871*v**3*z - 142*v**3 - 713*v**2*z**2 - 4375*v**2 wrt z? -2871*v**3 - 1426*v**2*z What is the second derivative of 15*k**4 + 198202*k**3 + 33674654*k wrt k? 180*k**2 + 1189212*k What is the third derivative of 32727*f**4*j + 175*f**4 - 246*f**2*j + 3842*f**2 + 2*f - 2 wrt f? 785448*f*j + 4200*f Differentiate -2*t**4 - 178*t**3 + 9147*t**2 - 21171722 with respect to t. -8*t**3 - 534*t**2 + 18294*t What is the second derivative of 321*v**5 - 4122*v**4 - 18996943*v wrt v? 6420*v**3 - 49464*v**2 Differentiate -2973204*k - 7226235 wrt k. -2973204 Differentiate 199997*i**2 - 25*i + 4495026. 399994*i - 25 Find the second derivative of 23421618*q**3 + 181091*q + 6. 140529708*q What is the first derivative of 137331547*j**2 + 141068365 wrt j? 274663094*j Find the third derivative of -10561*s**6 + 969*s**5 - 21933113*s**2. -1267320*s**3 + 58140*s**2 What is the second derivative of -315332395*o**2 + 86471801*o wrt o? -630664790 What is the third derivative of 17*x**6 + 182562*x**4 + 118*x**2 + 1979*x - 1 wrt x? 2040*x**3 + 4381488*x What is the second derivative of 14*d**4 + 19252*d**3 + 1490*d - 1820? 168*d**2 + 115512*d What is the third derivative of -24125868*u**5 - 143422*u**2 - 7*u wrt u? -1447552080*u**2 Find the first derivative of -h**3 - 397475*h**2 + 194426. -3*h**2 - 794950*h What is the second derivative of -153*i**4 - 181634*i**2 - 5*i + 7042796 wrt i? -1836*i**2 - 363268 What is the third derivative of -1464671*n**2*r**3 + 5*n**2*r**2 + 729*n**2*r + n**2 - 19208*n + 187*r**3 wrt r? -8788026*n**2 + 1122 Find the third derivative of 422873*c*f**3*n - 104*c*f**2 - 2*c*f - 7*f**3*n + 22840*f*n wrt f. 2537238*c*n - 42*n Find the second derivative of 10*r**5 + 1184*r**4 - 60*r**2 - 138194374*r wrt r. 200*r**3 + 14208*r**2 - 120 What is the derivative of 5878
{ "pile_set_name": "DM Mathematics" }
i**(-2/7))**(-37/5)/((i/(i*i*i**(-1/7)))/(i/(i**(-3/5)*i*i)))*((i*i**(-2/15))/(i**(1/9)/i))**9 assuming i is positive. i**(384/35) Simplify (((p**(-1/9)*p)/p)/(p*p**(-1/10)*p))/(p**(-24)*p**(-2/19)) assuming p is positive. p**(37781/1710) Simplify (y/((y*y**16)/y)*y*y**(-24)*y*(y*y**(-1/2))**(4/21))**(26/3) assuming y is positive. y**(-20150/63) Simplify (s/s**(-24/5))**(-3/11)*s**(-6/31)*s/(s**(-46)/s) assuming s is positive. s**(78813/1705) Simplify ((y**(-3)/y*y**2*y*(y/(y/y**(-6)))/((y*y**(-1/5)*y)/y))**(-23/3))**7 assuming y is positive. y**(2093/5) Simplify ((h/(h*h*h**7))/(h/(h/h**(-2/9))*h)*h**(1/2)*h*h/((h/(h*h**(-2/13)))/h))/((h*h*h/h**(-6))/(h*h/(h**1*h)*h)*h*h/h**1*h/h**4) assuming h is positive. h**(-2675/234) Simplify ((k*k**(8/7))/((k/k**4)/k))**50/(((k**(2/11)*k*k)/k)/k**(-2/15)*k**(-2/15)/(k/k**(1/11)*k)) assuming k is positive. k**(23706/77) Simplify ((y*y*y**0*y/y**(1/10)*y)/(y**(-2/5))**46)/((y**(-2)/(y/y**(-2/3)))/((y*(y*y**(3/5))/y)/y**1)) assuming y is positive. y**(797/30) Simplify (y/(y**(-19)/y*y))**(-45)/(y**(2/45))**(9/5) assuming y is positive. y**(-22502/25) Simplify (c/(c*c*c**(-21)))**(5/2)/((c/(c**(-3)/c)*c)/c**(-1/5)) assuming c is positive. c**(219/5) Simplify ((r/r**(1/2))**(3/5))**31*((r*r**(1/2))/((r*r/(r**10/r)*r)/r))**3 assuming r is positive. r**(174/5) Simplify ((y*y/(y*y/(y**(1/2)*y*y)*y)*y**(5/2))/(y**(-20)*y)**(1/56))**(29/4) assuming y is positive. y**(7047/224) Simplify ((i*i**(-5/2)*i*i/(i/(i/i**(-5)))*(i/i**(7/5))/(i*i/i**(-2)))**24)**(-12) assuming i is positive. i**(-1584/5) Simplify b**(-1/6)/b**(-3)*(b*b**1)**17*(b/b**(2/7)*b)**(14/5)*b**2/((b*b**4/b)/b) assuming b is positive. b**(1219/30) Simplify (((x/x**0)/x*x)**(-22/3))**(-40)/((((x/(x*(x/(x*x**(-4/3)*x))/x))/x)/((x**(1/5)/x)/x))/((x*x*x**0)/x**(-1/9))) assuming x is positive. x**(13229/45) Simplify ((q**(1/4)/((q/q**(-1/8))/q))/(q**(5/3)/q**(3/5)))/((q/((q/(q*q**(-6)*q))/q))/(q*q*q/q**4)*(q*q**(-4/7)/q)/q*q*q*q**(-6)*q) assuming q is positive. q**(4729/840) Simplify (i/(i/(i/(i**(-1/11)*i)))*i*i/(i/i**(-2/35))*i)**(-5)*(i**(-3/7)/i*i**(1/3))**(-14) assuming i is positive. i**(1193/231) Simplify ((u**(2/5)/u*u/(u**(-1/4)/u))/((u/(u*u**2))/u*u**(-2/3)/u))/(((u*u/(u*u**(1/2)/u*u))/u)/(u*u**1)*(u*u/(u*u**(2/3)))**(18/5)) assuming u is positive. u**(457/60) Simplify ((x**4*x**(1/6))/(x/(x/(x/(x/(x/(x*x**(-2/5))))))*x**(5/4)))/((x/(x*x*x**1/x))/x**(-2/7))**14 assuming x is positive. x**(751/60) Simplify (z*z*z**(-4/3)/z*z**0)**(-38)/((z**0)**37/(z**(-1)*z)**(17/2)) assuming z is positive. z**(38/3) Simplify l/(l/(l/l**3*l))*l**(2/31)*(l/(l**(-2/7)*l))**(-6/7)*((l*l/l**(-2/17))/l*l**(-12)*l)**(2/33) assuming l is positive. l**(-505419/284053) Simplify (v**(2/81)/v**1)/(v**(-29)*v)**(1/57) assuming v is positive. v**(-745/1539) Simplify ((y*y**(14/5)*y*y/(y*y*y**(-17)))/(y/(y/y**(-2)))**(-3/8))**(2/13) assuming y is positive. y**(401/130) Simplify ((a/(a/(a*a**(-2/11)))*a)**(2/5))**(11/4)/(a**(-2/23)*a**(-2/9)*a/(a/(a*a**3/a))*a*a**(-1/2)) assuming a is positive. a**(-493/414) Simplify (m*m**(2/3)*m)**37/(((m*m*m**(-1))/m)/m)**(-32)*((m**(-1))**35)**(-6/31) assuming m is positive. m**(6830/93) Simplify (z**(-1/8))**(1/27)/(z/(z*z**(-43))*z**(1/3)) assuming z is positive. z**(-9361/216) Simplify (d**(-2)/d*d*d)/d**6*d**(-1/3)/((((d/((d/(d/(d**(-2)*d)))/d)*d)/d)/d)/d)*d**6*d*d*d**4*(d/(d*d**0))/d**(-5) assuming d is positive. d**(26/3) Simplify ((((i**(2/5)/i)**43)**8)**(-1/20))**39 assuming i is positive. i**(10062/25) Simplify ((i/i**(1/4))**30)**48/((i*i*((i*i*i**(-2/9))/i)/i*i*i**(5/2))/(((i/(i/(i/i**(1/10)*i)))/i)/i*i/(i**(-4/7)*i*i)*i)) assuming i is positive. i**(338686/315) Simplify (b/(b*b**31)*b/b**2*(b**(-4/3))**(-1/8))**(-47) assuming b is positive. b**(8977/6) Simplify (((z/(z/(z**18/z)))/(z/(z**29*z)*z))/(z*z**(-2/31)/z*z)**(3/7))**43 assuming z is positive. z**(416154/217) Simplify (((n/n**5)/n)/n**5*((n*n**(-2)*n)/n*n)/(n/(n/(n*(n**(-2)/n)/n*n*n*n))))/((n**1)**50/(n*n**(-1/2)*n**(-2/7))) assuming n is positive. n**(-837/14) Simplify (v**1)**26*((v/(v**(-1/3)*v*v))/v*v*v)/v*v*v*v/(v/(v**(4/3)/v))*(v**(-2/3)/v)**25/(v**(1/5)*v**(-3)) assuming v is positive. v**(-56/5) Simplify ((x**(-6)*x/(x/(x**(-7)*x)))/((x*x**5/x)/x**(-2/7)))/((x**0)**(-1/13)/(x**(-2)*x**(-2/9)*x)) assuming x is positive. x**(-1166/63) Simplify (l**(-6)*l**(-1/6)*l/((l/(l/(l/l**6)))/l)*l/(l/(l**(-3/8)/l)))/(l**2*l/(l/l**(-8))*l)**36 assuming l is positive. l**(4307/24) Simplify (((((s*s**(-2))/s)/s)/s)**12)**34*((s**(3/4)*s*s)/(((s*s**(-7)/s)/s)/s))/(s/s**(2/15)*(s*s**1)/s) assuming s is positive. s**(-97327/60) Simplify ((f/(f/f**(1/4)*f*f*f))/f*f*f/(f**(-7)/f))**(-4)*(f/f**0)**(14/11)/((f*f*f/(f/(f/(f*f/(f*f**9))))*f)/f*f/f**(2/9)) assuming f is positive. f**(-3515/99) Simplify (b/b**2*b**(-3)*(b**(1/2))**(2/3))/((b**(1/4)/b*b)**(3/17))**(-20) assuming b is positive. b**(-142/51) Simplify ((o**(-2/5))**(1/21)*((o*(o*o/o**(-2/3))/o)/o*o*o)**(-5))/(o**(3/2)*o**(-1)*o**(1/3)*o*o/(o/(o**(-1)/o))*o) assuming o is positive. o**(-1343/70) Simplify ((o**(1/13)/o**(-4/7))/(o**4/(o*o/o**(12/7)*o)))**(-23) assuming o is positive. o**(4324/91) Simplify (((s/(s**(-6)/s))/s*s*s**4)/((s**(-1)/s)/s)**(-3))/(s**(-5)*s**(-1)*s*(s*s**(-5/4)/s)/s*s*s/(s**(-1)/s)) assuming s is positive. s**(25/4) Simplify (((z/z**7)/(z*z/(z**0*z)))/((z**(2/7)*z*z)/z*z*(z/z**(-6)*z)/z))/(z/z**(-4)*z/(z*z**(-2)))**(-45) assuming z is positive. z**(2091/7) Simplify ((y*((y/(y**1*y))/y)/y)**(1/6)/((y/(y*y/(y**(5/2)/y)*y))/y*y**(-1/6)))/((y**(1/2)*y)**(-1/26)/(y**(-1))**(11/9)) assuming y is positive. y**(79/468) Simplify (b/((b**(-1/4)/b)/b)*(b/(b/(b*b/((b**(-2/5)*b)/b))*b))/b)**(-6)*(b**11*b/(b/b**(-2/5)))**37 assuming b is positive. b**(3703/10) Simplify ((i/(i**(-11)/i)*i)**33*((i/(i*(i/i**(-12))/i*i*i))/i)**23)**(2/101) assuming i is positive. i**(234/101) Simplify ((y**18)**30*((y**(5/6)*y)/y)**(-4/7))**(1/10) assuming y is positive. y**(1133/21) Simplify (s**(1/9)/s**(2/13))**(-1/32)*(s*(s**(3/8)*s)/s*s**(-2/3))**(-36) assuming s is positive. s**(-95467/3744) Simplify (((a/a**(-2)*a*a**23)**(-3/2))**(-3/40))**0 assuming a is positive. 1 Simplify ((((h/h**(2/7)*h)/h*h)/h)/h)**(-22)/(h/(h/h**0))**(-49)*(h/(h**(-1/4)/h)*h)**38/(h*h*(h*h**0)/h*h**6) assuming h is positive. h**(1705/14) Simplify (((m*m**(1/3)*(m/m**(-1/8))/m)/(m*(m/(m*m**(-2/5))*m)/m)**(-31))**(-42))**(-49) assuming m is positive. m**(1846369/20) Simplify ((w**(-7)/w*w*w)**(-17)/(w/(w/w**(-17))*w**(-1/11)))**(-1) assuming w is positive. w**(-1310/11) Simplify (w**(-6)/(w*w**6/w))/(w**(-1/3))**(-2/107)*(w**(2/3))**(2/3)*(w*w**(2/5)*w*w)/w**4 assuming w is positive. w**(-58559/4815) Simplify ((((n*n**(2/7)/n)/n)/n*n)/(n**(-5)/n*n*n))**(1/16)/((n*n**1)/(n/((n**(2/3)/n)/n)))**(12/11) assuming n is positive. n**(701/1232) Simplify ((o**1*o)**(-20))**(-1)/((o**2)**20*(o**(-2/7))**(1/7)) assuming o is positive. o**(2/49) Simplify (b**(-2/3))**(-1/9)*(b/(b*b**(-1/3)))**(-3/25)*(b*b**(2/3)*b/((b/(b/(b*b/(b**(3/2)/b)*b)))/b))/(b/b**(2/3))**(-38) assuming b is positive. b**(18721/1350) Simplify ((v**(-1/4))**(-2/17)/((v/(v*v*v**(-1/5)))/v*v*v*v/(v*v/(v**(-6/7)/v))*v*v))/((v**(1/9)*v)/(v/v**(6/11))*((v**(-1)*v*v)/v)**27) assuming v is positive. v**(3533/117810) Simplify (l**(-2)*l**(5/3)*((l/(l/l**(-2/3)))/l)**(4/5))/((l**(-1/4)*l)/(l*(l/(l**(-3/7)*l))/l))**(-49) assuming l is positive. l**(169/12) Simplify ((a*(a*a*a**17)/a*a*a)/a**(-12)*(a**(3/2))**(-47))**(1/47) assuming a is positive. a**(-75/94) Simplify (i/(i**(-1/3)*i))/i**(1/4)*i**(4/9)*i**(-2/15)*((i/(i/((i*i**(1/2))/i)))**43)**(-22) assuming i is positive. i**(-85069/180) Simplify (a/a**(-7)*a**(2/5))/(a**5*a**(-5/6))*((a*a**(2/5))**(-38))**(-8/3) assuming a is positive. a**(1461/10) Simplify ((j**6)**(-2/9)/(j**9/((((j*j**(-6)/j)/j)/j)/j*j)))**(3/32) assuming j is positive. j**(-55/32) Simplify (s**9/s**9)**(1/19)/(s/(s/(s**(-1/12)*s)*s)*s*s**(-2/3))**(2/25) assuming s is positive. s**(-1/50) Simplify ((b/(b*(b/(b*b**(-1)))/b*b))**(-5/2))**44*((b/(b/(b*b**(2/13)/b)))/((b**1/b)/b))/(b**0)**(2/87) assuming b is positive. b**(1445/13) Simplify ((m**4/m)/(m*m*m/m**(-3)*m))**0/((m*m**(3/4)*m)/(m*m/(m*(m*m/m**(-5/2))/m*m)))**(23/4) assuming m is positive. m**(-575/16) Simplify (h**0*h
{ "pile_set_name": "DM Mathematics" }
ourth smallest value? (a) 5/4 (b) 2 (c) -2 (d) 5 (e) 4/39 b Which is the third biggest value? (a) -0.1 (b) 2 (c) -67/2 (d) -3/2 d What is the second biggest value in 4, -2, 0, -1? 0 Which is the second biggest value? (a) -2/13 (b) -4 (c) -307.87 b What is the second biggest value in 3, -1, -0.2, 0.04? 0.04 Which is the biggest value? (a) 12 (b) 6 (c) 2/11 a What is the fourth smallest value in 0.3, -7/3, 0.5, 1, -8? 0.5 Which is the biggest value? (a) 4/5 (b) 2 (c) -36 (d) 1/4 (e) 3/2 b Which is the smallest value? (a) -0.01 (b) 0.3 (c) -1/24 c Which is the second smallest value? (a) -0.011 (b) -1/2 (c) -3 b Which is the fourth smallest value? (a) -0.2 (b) -10 (c) 0 (d) 2 (e) 4 d Which is the third smallest value? (a) -0.1 (b) 2/7 (c) -10 (d) 17 b Which is the third biggest value? (a) -42/41 (b) 4/23 (c) 1/3 a Which is the fifth biggest value? (a) 1/4 (b) -0.2 (c) -5 (d) -2/9 (e) 0.41 c What is the third biggest value in -2, 0.3, -5, 18? -2 Which is the fifth smallest value? (a) -23 (b) -5 (c) 0.2 (d) 1 (e) 0.05 d Which is the smallest value? (a) -4 (b) 441 (c) -5 c What is the smallest value in -0.2, -1/6, -3, 4? -3 Which is the second biggest value? (a) 0 (b) -3 (c) -2/249 c What is the smallest value in 0.0263, 0.4, 6? 0.0263 Which is the fourth smallest value? (a) 0.4 (b) 0.2 (c) -13 (d) 30 d Which is the third smallest value? (a) 6 (b) 73 (c) -2 (d) 3/5 a What is the biggest value in -2, 2/11, -4, 4.299? 4.299 Which is the fifth smallest value? (a) 5 (b) 1/2 (c) 0.2 (d) 3 (e) 1/49 a Which is the second smallest value? (a) 4 (b) -5 (c) 0.2 (d) -143 b Which is the third biggest value? (a) -0.045 (b) -0.2 (c) -45 (d) -2/7 (e) -2 d What is the third biggest value in -3, -6/19, -4, 0.4, 5? -6/19 Which is the second biggest value? (a) -3 (b) -14 (c) -3/8 a Which is the fourth biggest value? (a) -34 (b) 2 (c) 0.5 (d) 1/3 a What is the second smallest value in 3, 7, 9/4? 3 What is the third smallest value in 2/11, -5, 17.1? 17.1 Which is the second smallest value? (a) 0.22 (b) 1/4 (c) 0 (d) 0.5 a Which is the third smallest value? (a) -0.01 (b) -74 (c) 1/4 c What is the third biggest value in -113, -5, -1/9, 0.25? -5 What is the smallest value in -2/3, 2, 1, -2, -5? -5 What is the smallest value in 2/13, 0.12, -2? -2 Which is the second smallest value? (a) -6 (b) 5 (c) 0.37 c What is the second smallest value in -23, 0.2, -0.9? -0.9 What is the third biggest value in 0.12, 2, 1? 0.12 Which is the third smallest value? (a) -2/15 (b) -2 (c) -8 (d) -577 b What is the third biggest value in -174.3, 0.5, 1, -1, -0.5? -0.5 What is the third smallest value in 5, -2/11, -2? 5 What is the third biggest value in 3, 2/73, 3/2, 0.3? 0.3 What is the smallest value in -5.53, 8, 2, -1? -5.53 Which is the second biggest value? (a) -2/3 (b) -3 (c) -10 (d) 2 a Which is the second biggest value? (a) -1 (b) 3 (c) 2/139 c What is the fifth smallest value in 2/3, 0.2, -0.8, -4/7, 1/7? 2/3 Which is the third biggest value? (a) 0.1 (b) -93 (c) -0.9 b What is the biggest value in -4, -0.6, -2/13? -2/13 What is the smallest value in -2/3, -2, 1, -19? -19 Which is the smallest value? (a) -0.3 (b) -4 (c) 21 b Which is the third smallest value? (a) -0.4 (b) -5 (c) -2/13 (d) -10 a What is the third smallest value in -2/17, 6.28, 1/5, -2/7, -5? -2/17 What is the third biggest value in -1/4, 19, -3/2, -1? -1 Which is the second biggest value? (a) 3 (b) 2/13 (c) 0.17 c What is the third smallest value in -25126, 2, 3/5? 2 Which is the second smallest value? (a) -2 (b) 8 (c) 3 (d) -29 a What is the second smallest value in 1, 0.19, -2/15? 0.19 What is the third smallest value in 4, -5, -0.094? 4 Which is the third smallest value? (a) -3.5 (b) -0.095 (c) -4 (d) 5/3 (e) 4 b Which is the fifth smallest value? (a) 0.1 (b) -0.09 (c) 2/5 (d) -1/2 (e) -12 c Which is the third biggest value? (a) -3/7 (b) 0.44 (c) -1 (d) 0.3 a What is the smallest value in -1.11, 4, 2? -1.11 Which is the second biggest value? (a) 267 (b) -1/14 (c) 2/13 c Which is the smallest value? (a) -1 (b) -65 (c) 0.5 (d) 10/11 (e) -4 b What is the fourth biggest value in -2/13, 0.4, -2, -1/5? -2 What is the biggest value in 0.3, -227, 2, -1? 2 Which is the smallest value? (a) -2 (b) 1/7 (c) -0.77 (d) 2 a What is the smallest value in 0, 16, 0.03? 0 What is the biggest value in 1, -41, 18/11? 18/11 What is the second biggest value in 1.7, -3/2, 2/5, 2/19? 2/5 What is the second biggest value in -4, 0.7, -5? -4 Which is the third smallest value? (a) -1/9 (b) -709 (c) 3 c What is the biggest value in -4, 10, -9/2, -0.4? 10 Which is the second biggest value? (a) -28 (b) 4 (c) -0.05 c Which is the second biggest value? (a) 1/2 (b) 0 (c) -1 (d) 1/9 (e) 4 a Which is the third biggest value? (a) 0.7 (b) -0.5 (c) -1/9 b Which is the biggest value? (a) 0.11 (b) -0.4 (c) 2 (d) 6 d What is the second smallest value in 0.2, -1/2, 25.5? 0.2 Which is the biggest value? (a) -4 (b) 5 (c) 3 (d) 4/9 b What is the second smallest value in 2, 0, -10, 0.1, -5? -5 What is the second biggest value in -95, -2, -2/13? -2 Which is the third biggest value? (a) 5 (b) 2 (c) 2/5 (d) -1 c What is the fourth biggest value in 1, -0.2, 41, -2/7, 4? -0.2 Which is the second biggest value? (a) 0.1 (b) 100 (c) 0.14 c What is the smallest value in 0.3, -1/19, 2.6? -1/19 Which is the second smallest value? (a) 1 (b) -4/53 (c) -5 (d) 3 b What is the fourth smallest value in 3, 1/2, -3, -27? 3 What is the smallest value in -0.3, 4, -7? -7 What is the fifth biggest value in 0.1, 3, 2, 0.4, -0.07? -0.07 Which is the third smallest value? (a) 1/2 (b) -2 (c) 6 (d) -0.233 (e) -2/3 d What is the second smallest value in 0.1, 21, 3, 0.3? 0.3 What is the smallest value in -2/25, 3/16, 1/5, 0? -2/25 Which is the fourth smallest value? (a) 0.4 (b) -4 (c) -0.06 (d) 0.2 a Which is the second biggest value? (a) 0 (b) 1 (c) 0.38 (d) -5 c Which is the fourth biggest value? (a) -0.3 (b) -2/5 (c) -7 (d) -2/7 c What is the biggest value in -60, 1/4, 76? 76 What is the fourth smallest value in -839, 2/11, -0.4, 5? 5 What is the second biggest value in 0.4, 24/11, 4, -3? 24/11 What is the smallest value in 38, 1/2, 3? 1/2 Which is the third smallest value? (a) -3 (b) -1 (c) 0.4 (d) -0.5 d Which is the fourth smallest value? (a) -2 (b) -22 (c) 5/2 (d) 0.5 c Which is the second biggest value? (a) 38 (b) 3 (c) -10 b Which is the biggest value? (a) -0.2 (b) -0.5 (c) 5 (d) 2 c What is the biggest value in -11/17, 4, 28? 28 What is the second biggest value in -4, 1/3, -2/19, -284? -2/19 What is the biggest value in -2, -1/2, -0.1, -1/3, 1.51? 1.51 What is the third smallest value in 35.9, 3, 1? 35.9 What is the smallest value in -1/2, -1937, 3? -1937 What is the fourth smallest value in -8, -3/4, -8/3, -0.5? -0.5 Which is the smallest value? (a) -5/3 (b) 3 (c) 17 a Which is the fourth smallest value? (a) 0.07 (b) -0.3 (c) 0 (d) 2/7 d Which is the smallest value? (a) 1 (b) -1 (c) 0.5 (d) 890 (e) 3 b What is the biggest value in 8, -4, 0.3, -13? 8 Which is the fourth biggest value? (a) -3 (b) -0.04 (c) 5 (d) -1/3 a What is the smallest value in -4/9, 3/4, 0, 358, 0.2? -4/9 Which is the fourth biggest value? (a) -3 (b) -2/13 (c) 0.2 (d) 38 a What is the third smallest value in -3, 0.4, 121, 1/5? 0.4 What is the biggest value in 0.4, -1/2, -2/5, -1/3? 0.4 What is the fourth smallest value in -0.4, 4, 0.3, 99? 99 Which is the fifth biggest value? (a) -0.1 (b) 1 (c) 22.1 (d) 0 (e) 2 a Which is the fourth smallest value? (a) 171 (b) 3 (c) 1 (d) 2/9 (e) -4 b Which is the third biggest value? (a) -1/233 (b) 3 (c) 0 a What is the smallest value in 4, -6, 0.0552? -6 Which is the third biggest value? (a) -2/11 (b) 4 (c) -5/18 c What is the second smallest value in 1/3, 1/7, -3, -127? -3 What is the second smallest value in 0.5, 14, 0.1, 4? 0.5 Which is the fifth biggest value? (a) 0.5 (b) -0.08 (c) 0.4 (d) 28 (e) 0.1 b Which is the smallest value? (a) -1/6 (b) -2/13 (c) -5/49 (d) -6 d What is the second biggest value in -2/5, -0.2, 1/4, -
{ "pile_set_name": "DM Mathematics" }
ghest common divisor of 16 and 3632. 16 What is the greatest common factor of 448 and 28? 28 What is the highest common factor of 834 and 4? 2 Calculate the highest common factor of 8 and 616. 8 Calculate the greatest common divisor of 70 and 2534. 14 Calculate the highest common divisor of 444 and 111. 111 What is the greatest common divisor of 58 and 145? 29 Calculate the highest common divisor of 122 and 17202. 122 Calculate the highest common divisor of 104 and 1937. 13 Calculate the greatest common divisor of 5 and 12405. 5 What is the greatest common factor of 315 and 885? 15 What is the greatest common factor of 6 and 402? 6 Calculate the highest common divisor of 2044 and 584. 292 What is the highest common divisor of 1850 and 200? 50 What is the greatest common divisor of 15 and 240? 15 What is the highest common factor of 1 and 751? 1 Calculate the highest common factor of 130 and 91. 13 Calculate the greatest common divisor of 1815 and 11. 11 What is the greatest common divisor of 74 and 14? 2 Calculate the highest common factor of 845 and 65. 65 What is the greatest common factor of 4876 and 159? 53 What is the greatest common factor of 11259 and 81? 81 What is the greatest common factor of 83 and 13031? 83 Calculate the highest common divisor of 156 and 48. 12 What is the greatest common factor of 32 and 14464? 32 What is the highest common divisor of 300 and 180? 60 What is the highest common factor of 280 and 1225? 35 What is the greatest common divisor of 4 and 404? 4 Calculate the greatest common divisor of 27 and 17. 1 Calculate the greatest common divisor of 21233 and 17. 17 Calculate the highest common divisor of 70 and 448. 14 What is the greatest common divisor of 16 and 31232? 16 Calculate the greatest common divisor of 240 and 760. 40 What is the greatest common factor of 192 and 36? 12 Calculate the greatest common factor of 7 and 2401. 7 Calculate the highest common factor of 20 and 60. 20 Calculate the highest common divisor of 12 and 63660. 12 Calculate the highest common factor of 43734 and 222. 222 What is the highest common divisor of 135 and 2565? 135 What is the highest common factor of 297 and 36? 9 Calculate the greatest common factor of 221 and 26. 13 Calculate the greatest common divisor of 1769 and 610. 61 Calculate the greatest common factor of 2960 and 37. 37 Calculate the highest common factor of 9021 and 186. 93 What is the highest common factor of 28 and 164? 4 Calculate the highest common factor of 105 and 490. 35 Calculate the greatest common divisor of 14 and 1134. 14 Calculate the highest common divisor of 30 and 735. 15 Calculate the highest common factor of 102 and 170. 34 Calculate the highest common divisor of 102 and 170. 34 Calculate the greatest common factor of 22 and 154. 22 Calculate the greatest common divisor of 27 and 639. 9 What is the greatest common factor of 8 and 594? 2 What is the highest common divisor of 282 and 893? 47 What is the greatest common factor of 25553 and 33? 11 What is the greatest common divisor of 11532 and 36? 12 Calculate the greatest common factor of 134 and 603. 67 What is the highest common factor of 19 and 589? 19 What is the greatest common factor of 2430 and 27? 27 Calculate the greatest common divisor of 665 and 760. 95 What is the greatest common divisor of 11 and 187? 11 What is the greatest common divisor of 1040 and 195? 65 What is the highest common factor of 664 and 8? 8 What is the greatest common factor of 3298 and 776? 194 What is the highest common factor of 376 and 282? 94 Calculate the greatest common divisor of 1107 and 41. 41 Calculate the greatest common factor of 33 and 81147. 33 Calculate the greatest common factor of 106 and 3975. 53 What is the highest common divisor of 235 and 5? 5 Calculate the greatest common factor of 49 and 196. 49 What is the greatest common factor of 140 and 770? 70 What is the greatest common divisor of 25 and 1325? 25 Calculate the greatest common factor of 36 and 450. 18 What is the greatest common divisor of 160 and 37520? 80 What is the highest common factor of 1323 and 18? 9 Calculate the greatest common factor of 372 and 12. 12 Calculate the highest common factor of 2627 and 111. 37 What is the greatest common factor of 7 and 56? 7 Calculate the highest common factor of 288 and 27. 9 What is the highest common divisor of 3339 and 21? 21 What is the highest common factor of 435 and 85695? 435 What is the highest common factor of 3161 and 218? 109 What is the highest common factor of 676 and 3068? 52 Calculate the highest common factor of 324 and 18252. 108 Calculate the greatest common factor of 8 and 256. 8 Calculate the greatest common divisor of 37403 and 113. 113 What is the highest common factor of 66 and 2442? 66 What is the greatest common divisor of 651 and 31? 31 Calculate the greatest common factor of 4535 and 10. 5 What is the highest common factor of 24 and 408? 24 What is the greatest common factor of 255 and 45? 15 What is the greatest common divisor of 8 and 50? 2 Calculate the greatest common factor of 110 and 50. 10 What is the greatest common factor of 114 and 1862? 38 Calculate the greatest common factor of 96 and 14856. 24 Calculate the highest common factor of 5 and 5. 5 What is the highest common factor of 740 and 40? 20 What is the highest common factor of 210 and 150? 30 What is the highest common factor of 23 and 253? 23 What is the greatest common factor of 663 and 78? 39 What is the highest common factor of 209 and 133? 19 What is the greatest common factor of 7 and 42? 7 Calculate the greatest common divisor of 16 and 2344. 8 Calculate the highest common divisor of 14 and 44282. 14 Calculate the greatest common factor of 2842 and 98. 98 Calculate the highest common factor of 621 and 1817. 23 What is the greatest common factor of 10 and 694? 2 What is the greatest common factor of 1960 and 80? 40 Calculate the greatest common factor of 295 and 5. 5 Calculate the greatest common factor of 350 and 280. 70 Calculate the greatest common factor of 299 and 52. 13 Calculate the highest common divisor of 253 and 115. 23 Calculate the greatest common divisor of 13 and 8593. 13 What is the greatest common factor of 60 and 36? 12 What is the greatest common factor of 2178 and 72? 18 What is the highest common divisor of 2077 and 248? 31 What is the highest common divisor of 62 and 1798? 62 Calculate the greatest common factor of 512 and 184. 8 Calculate the highest common factor of 117 and 9. 9 Calculate the highest common divisor of 170 and 374. 34 Calculate the highest common factor of 147 and 392. 49 What is the highest common factor of 7 and 2317? 7 Calculate the highest common factor of 121 and 11. 11 What is the greatest common factor of 2696 and 3707? 337 Calculate the greatest common divisor of 150 and 200. 50 What is the highest common factor of 35 and 190? 5 What is the greatest common factor of 12996 and 76? 76 What is the highest common factor of 150 and 1075? 25 What is the greatest common divisor of 460 and 11868? 92 What is the greatest common divisor of 2104 and 8? 8 Calculate the highest common divisor of 80 and 50. 10 What is the greatest common factor of 325 and 715? 65 What is the greatest common factor of 4 and 2212? 4 What is the greatest common divisor of 63 and 49? 7 What is the greatest common factor of 9 and 912? 3 What is the highest common divisor of 72 and 552? 24 What is the highest common divisor of 1918 and 14? 14 What is the highest common divisor of 41 and 1353? 41 What is the highest common factor of 135 and 1335? 15 What is the highest common divisor of 200 and 24? 8 What is the greatest common factor of 1107 and 27? 27 Calculate the greatest common factor of 180 and 2620. 20 Calculate the greatest common divisor of 3427 and 253. 23 What is the highest common divisor of 288 and 54? 18 Calculate the greatest common divisor of 9 and 96. 3 Calculate the highest common divisor of 912 and 627. 57 Calculate the highest common divisor of 605 and 110. 55 What is the greatest common factor of 901 and 1325? 53 What is the highest common factor of 961 and 31? 31 What is the highest common factor of 18 and 47394? 18 Calculate the highest common divisor of 80 an
{ "pile_set_name": "DM Mathematics" }
3764 is divided by 31? 30 What is the remainder when 5973356 is divided by 291? 290 What is the remainder when 105575973 is divided by 14? 13 What is the remainder when 272263 is divided by 347? 215 What is the remainder when 4857672 is divided by 1355? 1352 Calculate the remainder when 538916 is divided by 66832. 4260 What is the remainder when 433603 is divided by 433548? 55 Calculate the remainder when 1790500367 is divided by 9831. 9830 What is the remainder when 4035622 is divided by 2? 0 Calculate the remainder when 872598 is divided by 58173. 3 Calculate the remainder when 34084639 is divided by 20. 19 What is the remainder when 6313475 is divided by 1578338? 123 What is the remainder when 4134543 is divided by 613? 471 What is the remainder when 647553 is divided by 2710? 2573 What is the remainder when 440326 is divided by 7335? 226 Calculate the remainder when 99298 is divided by 7434. 2656 Calculate the remainder when 898042 is divided by 59821. 727 Calculate the remainder when 190079 is divided by 7275. 929 Calculate the remainder when 4372183 is divided by 145. 143 What is the remainder when 1975940 is divided by 23522? 92 What is the remainder when 141468 is divided by 139594? 1874 Calculate the remainder when 23106555 is divided by 3028. 2915 Calculate the remainder when 259120130 is divided by 702. 698 What is the remainder when 6490535 is divided by 33? 29 What is the remainder when 6973 is divided by 891? 736 Calculate the remainder when 42001305 is divided by 383. 376 Calculate the remainder when 1911744 is divided by 955844. 56 Calculate the remainder when 8991 is divided by 260. 151 What is the remainder when 4984190 is divided by 178? 12 Calculate the remainder when 203234 is divided by 40578. 344 What is the remainder when 50882189 is divided by 3026? 3025 What is the remainder when 37402 is divided by 37258? 144 Calculate the remainder when 4540336 is divided by 220. 196 What is the remainder when 44781211 is divided by 3048? 3043 Calculate the remainder when 43945558 is divided by 30. 28 Calculate the remainder when 159187 is divided by 865. 27 Calculate the remainder when 35982 is divided by 5960. 222 What is the remainder when 1408280 is divided by 2475? 5 What is the remainder when 67644496 is divided by 2761? 2757 Calculate the remainder when 5621192 is divided by 2810567. 58 What is the remainder when 1496449 is divided by 1507? 1505 What is the remainder when 1046185 is divided by 149455? 0 Calculate the remainder when 273969 is divided by 7796. 1109 What is the remainder when 32282 is divided by 344? 290 Calculate the remainder when 67206130 is divided by 42. 40 What is the remainder when 273098754 is divided by 88? 82 Calculate the remainder when 47468713 is divided by 338. 331 Calculate the remainder when 3310207 is divided by 782. 1 What is the remainder when 207371 is divided by 3840? 11 What is the remainder when 790435 is divided by 119? 37 Calculate the remainder when 11371244 is divided by 1199. 1127 What is the remainder when 34238656 is divided by 3950? 56 Calculate the remainder when 1836895 is divided by 72. 31 What is the remainder when 46758583 is divided by 1192? 1191 What is the remainder when 161680361 is divided by 145? 141 What is the remainder when 228243 is divided by 5227? 3482 Calculate the remainder when 1736538 is divided by 2899. 37 What is the remainder when 5826960 is divided by 4? 0 Calculate the remainder when 69810 is divided by 1375. 1060 Calculate the remainder when 7963055 is divided by 229. 38 Calculate the remainder when 32023618 is divided by 400. 18 What is the remainder when 5431992 is divided by 45? 42 What is the remainder when 1677565 is divided by 826? 785 Calculate the remainder when 5917 is divided by 4063. 1854 What is the remainder when 12353 is divided by 12349? 4 Calculate the remainder when 3944799 is divided by 28. 19 What is the remainder when 8211204 is divided by 509? 16 What is the remainder when 7074443 is divided by 76? 59 What is the remainder when 420717 is divided by 52586? 29 Calculate the remainder when 10737035 is divided by 2596. 2575 Calculate the remainder when 1498955 is divided by 103. 99 What is the remainder when 10011 is divided by 8165? 1846 What is the remainder when 298109301 is divided by 415194? 9 What is the remainder when 5001023 is divided by 16? 15 Calculate the remainder when 5460028 is divided by 15. 13 Calculate the remainder when 1679876 is divided by 113. 18 What is the remainder when 19672305 is divided by 192? 177 Calculate the remainder when 3319338 is divided by 1118. 1114 Calculate the remainder when 1423957 is divided by 436. 417 Calculate the remainder when 454620 is divided by 3032. 2852 Calculate the remainder when 120007694 is divided by 23. 19 What is the remainder when 143088 is divided by 71542? 4 Calculate the remainder when 91938 is divided by 76. 54 Calculate the remainder when 505337 is divided by 505275. 62 Calculate the remainder when 2063091 is divided by 8219. 122 What is the remainder when 2565299 is divided by 427549? 5 What is the remainder when 4079729 is divided by 1079? 30 What is the remainder when 621691 is divided by 1562? 15 What is the remainder when 612040516 is divided by 14? 10 What is the remainder when 16886877 is divided by 13445? 13402 Calculate the remainder when 729293 is divided by 243096. 5 Calculate the remainder when 3103452 is divided by 2272. 2172 Calculate the remainder when 8587599 is divided by 8511. 0 Calculate the remainder when 4900197 is divided by 4900166. 31 What is the remainder when 1243060 is divided by 32712? 4 Calculate the remainder when 120774 is divided by 13418. 12 Calculate the remainder when 1564792 is divided by 3656. 24 Calculate the remainder when 21899446 is divided by 67800. 46 Calculate the remainder when 15391115 is divided by 385. 355 What is the remainder when 3323438 is divided by 3208? 3158 Calculate the remainder when 15186732 is divided by 52. 28 What is the remainder when 56545486 is divided by 5736? 5734 What is the remainder when 534269 is divided by 178088? 5 What is the remainder when 2000557 is divided by 986? 949 What is the remainder when 9734038 is divided by 30? 28 Calculate the remainder when 11129126 is divided by 655. 21 What is the remainder when 3295033 is divided by 411879? 1 Calculate the remainder when 2702301 is divided by 1954. 1873 Calculate the remainder when 625650 is divided by 4866. 2802 Calculate the remainder when 2816 is divided by 642. 248 Calculate the remainder when 564714 is divided by 418. 414 What is the remainder when 237605077 is divided by 15? 7 Calculate the remainder when 7881012 is divided by 37. 12 Calculate the remainder when 65928493 is divided by 11. 4 Calculate the remainder when 540198 is divided by 28429. 47 What is the remainder when 670988 is divided by 39? 32 What is the remainder when 110797 is divided by 55257? 283 Calculate the remainder when 356252 is divided by 445. 252 Calculate the remainder when 22721567 is divided by 5680382. 39 What is the remainder when 104334460 is divided by 360? 340 What is the remainder when 2190864 is divided by 972? 948 What is the remainder when 780569 is divided by 20? 9 What is the remainder when 7263031 is divided by 518782? 83 Calculate the remainder when 1038618 is divided by 79. 5 Calculate the remainder when 985404 is divided by 29860. 24 Calculate the remainder when 172387627 is divided by 261. 259 Calculate the remainder when 12715535 is divided by 1941. 44 Calculate the remainder when 61098 is divided by 3576. 306 What is the remainder when 50460744 is divided by 410? 404 What is the remainder when 372035 is divided by 10933? 313 What is the remainder when 204660 is divided by 48? 36 What is the remainder when 231470 is divided by 10997? 533 Calculate the remainder when 367357 is divided by 122449. 10 What is the remainder when 4717679 is divided by 1179416? 15 What is the remainder when 1595391 is divided by 209? 94 What is the remainder when 4365176 is divided by 834? 20 What is the remainder when 9632347 is divided by 1898? 1895 What is the remainder when 448187 is divided by 224059? 69 What is the remainder when 449864 is divided by 453? 35 Calcula
{ "pile_set_name": "DM Mathematics" }
lify (-2 + (sqrt(1900)*-2*3 - (-3*(sqrt(1900) + -2 - sqrt(1900)) + sqrt(1900))))**2*-1. -93164 - 1120*sqrt(19) Simplify ((1 + sqrt(612))*6 + 0 + -6*(2 + 1 + sqrt(612)))**2. 144 Simplify (sqrt(1764)*-1 + sqrt(1764) - (sqrt(5929)*2 - sqrt(49)))/((sqrt(77) + sqrt(77) + (1*sqrt(77) - sqrt(77)))/sqrt(11) + sqrt(42)/(sqrt(24)/sqrt(4))). -7*sqrt(7) Simplify (sqrt(128) - (sqrt(128) + 5*sqrt(128)))/(sqrt(32)/(sqrt(8) + sqrt(64)/sqrt(8))). -40*sqrt(2) Simplify (((sqrt(684)/(sqrt(36)/sqrt(3)))/sqrt(3) + -6*(-1 + sqrt(304)))*-5)**2. -6900*sqrt(19) + 252175 Simplify (-1*(sqrt(91) + 2*(sqrt(91)*-1 - sqrt(91))))/(-1*sqrt(343)*-6)*-5. -5*sqrt(13)/14 Simplify ((sqrt(2736) - (-1*sqrt(2736)*-2 - sqrt(2736))) + -1 + sqrt(2736) + -1 + sqrt(2736))**2*5*-3 + -4. -164224 + 1440*sqrt(19) Simplify -3*((sqrt(102) + sqrt(102)*-1)*-5)/(sqrt(6) + (sqrt(6) + sqrt(6) + (sqrt(864)*-1 - sqrt(864)) - sqrt(6)) + sqrt(6)). 0 Simplify (sqrt(21) + sqrt(42)/sqrt(2)*-1)/(sqrt(108)*2). 0 Simplify -3*(sqrt(3388) - 2*sqrt(3388))/(2*sqrt(256)). 33*sqrt(7)/16 Simplify (-1*(-1*sqrt(21))/sqrt(7) + sqrt(12)/(-3*sqrt(196)))**2. 400/147 Simplify ((5*sqrt(256) - sqrt(16))*4)/(-6*sqrt(1152)*2). -19*sqrt(2)/36 Simplify ((sqrt(192) + sqrt(192) + -2)*4 + -3 + sqrt(192) + -1)**2*3. -5184*sqrt(3) + 47088 Simplify (-2*(3*sqrt(1872) - (sqrt(52) + 1)) + 4)**2*5. -4080*sqrt(13) + 300740 Simplify 5 + (sqrt(189)/(sqrt(112)*-6))/(sqrt(1089)*-2 + 2*sqrt(900)). sqrt(3)/48 + 5 Simplify -2 + ((sqrt(99) + (sqrt(99) - (sqrt(99)*-2 - sqrt(99)))*6)*3)/((sqrt(90)*-1*5)/sqrt(10)). -15*sqrt(11) - 2 Simplify 2 + sqrt(121)/(sqrt(99) - 1*sqrt(99) - sqrt(99)) + -5. -3 - sqrt(11)/3 Simplify (sqrt(108)/(sqrt(48)/(sqrt(12)*1)))/(-1*sqrt(144)*-3). sqrt(3)/12 Simplify (sqrt(104)/(sqrt(8) + 3*sqrt(32)))**2 + sqrt(143)/((-3*sqrt(66) + sqrt(66))/sqrt(6)). -sqrt(13)/2 + 13/49 Simplify (-3*(sqrt(28) + (sqrt(308) - sqrt(308)*-2)/sqrt(11)))/(sqrt(4) + sqrt(28)/sqrt(63) + sqrt(144)). -18*sqrt(7)/11 Simplify -5*-4*(sqrt(2) + -1) - (2 + sqrt(128) + (sqrt(128) - (-1 + sqrt(128))))**2. -157 - 28*sqrt(2) Simplify (-5*(((sqrt(1088) - (sqrt(1088) + 5*sqrt(1088))) + -1 - sqrt(1088)) + (sqrt(1088) - (1 + sqrt(1088))*3))*1)**2. 12800*sqrt(17) + 1741200 Simplify -1*((sqrt(245) - (-3 + 3 + sqrt(245))**2) + ((sqrt(245) + sqrt(245)*1 + sqrt(245))*-5)**2)*1. -54880 - 7*sqrt(5) Simplify (sqrt(119) - (1*sqrt(119) - sqrt(119))*-3 - sqrt(119) - (sqrt(119) + (sqrt(119) - sqrt(119)*2))*-2)/(sqrt(112) + 1*sqrt(112)*-4). 0 Simplify 3*(sqrt(110)/(sqrt(20)/sqrt(2)) - sqrt(11) - (sqrt(11) + -1 + sqrt(99))) + (sqrt(22)/sqrt(18) - (3 + sqrt(11) + sqrt(44))) + 4. -44*sqrt(11)/3 + 4 Simplify 4 + ((sqrt(13) - -6*sqrt(39)/sqrt(3)) + -2 - (1*sqrt(13)*-6 + sqrt(39)/sqrt(3) + -2)). 4 + 12*sqrt(13) Simplify ((sqrt(66)/(-1*sqrt(11)) + (sqrt(294) - (sqrt(294)*-1 + sqrt(294))))/((5*sqrt(21)*-2)/sqrt(7)))**2. 18/25 Simplify -2 + 5*(sqrt(11) + sqrt(11) + 2) + sqrt(11) + (0 + (sqrt(22)/sqrt(2) - sqrt(11)) - sqrt(11)) + -1. 7 + 10*sqrt(11) Simplify -5*(-6*(-2*sqrt(84)*1 + sqrt(84)))/((sqrt(588) - (sqrt(588) - sqrt(588)*1))*1). -30*sqrt(7)/7 Simplify (6*-2*sqrt(99) + sqrt(99) + (sqrt(99) - (1*sqrt(99)*5 - sqrt(99)) - sqrt(99)))/(-1*sqrt(144)*2). 15*sqrt(11)/8 Simplify (-2*sqrt(1372))/((sqrt(4) - sqrt(256))*6). sqrt(7)/3 Simplify (sqrt(110) + -6*1*sqrt(110))/(-2*sqrt(40)) + (sqrt(121)*1 + sqrt(121) + sqrt(121))/sqrt(11) + (sqrt(132)/sqrt(4))/sqrt(3). 21*sqrt(11)/4 Simplify (sqrt(6)/(sqrt(9)/sqrt(3)) + (-4 + sqrt(18) - sqrt(2)) + -1 + sqrt(2) + sqrt(2) + 2 + sqrt(2) + (sqrt(2) - (sqrt(8) + -2)))**2. -10*sqrt(2) + 51 Simplify (-4*sqrt(68)*1 + 5*(sqrt(68) - 1*sqrt(68)))/(sqrt(16)/(sqrt(400) - (sqrt(400) - (sqrt(400) + 2*sqrt(400)) - sqrt(400) - sqrt(400)))). -200*sqrt(17) Simplify 3*(1 + sqrt(475))*3 - ((1*sqrt(475) - sqrt(475))*-5 + 4). 5 + 45*sqrt(19) Simplify -1*(5*(sqrt(1728) + (3 + sqrt(108) + sqrt(108))**2) + -4). -2201 - 480*sqrt(3) Simplify 2 + (((sqrt(600)*1)/sqrt(10))/(sqrt(1728)*-2 + sqrt(12)))**2. 1063/529 Simplify 6*(0 + sqrt(1331)) + -3 + (sqrt(1331) + -1)**2 + 4. 44*sqrt(11) + 1333 Simplify (-5*sqrt(13)*-1)**2 - sqrt(104)/(sqrt(32)/sqrt(4)) - (sqrt(52) - 3*sqrt(52))*-2. -9*sqrt(13) + 325 Simplify (sqrt(156)/(sqrt(84)/sqrt(7)) + sqrt(13))**2*6 - 4*(-1 + sqrt(832)). -32*sqrt(13) + 316 Simplify sqrt(1008) + (sqrt(1008) + 2 + 4)**2 + (-1 + (sqrt(112) - sqrt(7))**2 + sqrt(7) - sqrt(28)/sqrt(4)*4). 153*sqrt(7) + 1106 Simplify (((sqrt(35) - ((1*sqrt(105))/sqrt(3) + sqrt(35)))/(-2*sqrt(343) + sqrt(343) - sqrt(343) - sqrt(7) - sqrt(7)))**2 + -2)*-5. 2535/256 Simplify (6*-1*(((sqrt(33)*2)/sqrt(3) - (sqrt(11) + sqrt(176)*-1)) + -2))**2. -720*sqrt(11) + 10044 Simplify (((sqrt(2) - sqrt(32)) + sqrt(2))*-1)**2 + 2 + (sqrt(4) - sqrt(16)/sqrt(4))/sqrt(2)*5. 10 Simplify (1 + (sqrt(720) - (sqrt(720) - (sqrt(720) + -4))))**2 + 4 + -3 + sqrt(720) + -1. -60*sqrt(5) + 729 Simplify ((-1*-1*sqrt(220))/sqrt(11))/((-1*sqrt(250) - sqrt(250) - sqrt(10)) + sqrt(80)/sqrt(32)). -2*sqrt(2)/21 Simplify ((sqrt(336) + (sqrt(336) - (sqrt(336) + sqrt(336)*1 - sqrt(336) - sqrt(336))))*5)/(-1*sqrt(12)*3). -20*sqrt(7)/3 Simplify -2*(-2 + 1*sqrt(833))**2 + (5 + (sqrt(833) + 1)**2 + sqrt(833))*-5. -5869 - 49*sqrt(17) Simplify (sqrt(95) - (sqrt(95) - sqrt(95)*3)*6)/(-3*sqrt(5)*-2). 13*sqrt(19)/6 Simplify (((sqrt(605) - -2*sqrt(605))*-2 - (3 + sqrt(605) + -1)) + 1*(sqrt(605)*1 + sqrt(605)) + -1)**2 + 5. 330*sqrt(5) + 15139 Simplify (((sqrt(6480) - (sqrt(6480)*-1 + sqrt(6480)) - sqrt(6480))*-1 - sqrt(6480)) + sqrt(6480))/(sqrt(99)/((sqrt(88)/sqrt(2))/sqrt(4))). 0 Simplify (5*((sqrt(605) - 3*(sqrt(605) + -4)) + sqrt(605)*-4 + -3))**2. -29700*sqrt(5) + 546525 Simplify (sqrt(539)*-1 + 4 + -2*-2*sqrt(539) + 4 + -1)**2. 294*sqrt(11) + 4900 Simplify ((3*sqrt(153) - sqrt(153))*-4 - sqrt(153))/(-3*sqrt(63)/sqrt(7)). 3*sqrt(17) Simplify ((sqrt(14) - sqrt(2016)*-2 - sqrt(70)/sqrt(5)*-5)/(6*(sqrt(175)*2 - sqrt(175))))**2. 2 Simplify (-2 + -2 + sqrt(275) + sqrt(275) + 5 + 2)**2 + -1. 60*sqrt(11) + 1108 Simplify (0 + 5 + (5*sqrt(539)*-1 + 0)*-4)**2. 1400*sqrt(11) + 215625 Simplify 4*((sqrt(3264)/sqrt(3))**2 + (-1*sqrt(17) - sqrt(17))*3)*-3. -13056 + 72*sqrt(17) Simplify 3 + 1*sqrt(4032) + 4 + (sqrt(84)/sqrt(3) + -5)**2. 4*sqrt(7) + 60 Simplify (sqrt(931) + sqrt(931) + (sqrt(931) - (sqrt(931) - (1*sqrt(931) + -4) - sqrt(931))))**2 + sqrt(931) - (sqrt(76) - (sqrt(76) + sqrt(76) + 1))*-1. -219*sqrt(19) + 14911 Simplify (5*(sqrt(30) + sqrt(30) + sqrt(480) - sqrt(30)))/(1*sqrt(150) - sqrt(6))*-5. -125*sqrt(5)/4 Simplify (sqrt(448)*-5)**2 + 0 + sqrt(70)/(-6*sqrt(160)). -sqrt(7)/24 + 11200 Simplify 1 + sqrt(44)/(sqrt(64)/sqrt(4)) + (2*sqrt(44) + -4 - sqrt(44)) + 4. 1 + 5*sqrt(11)/2 Simplify 5*((sqrt(180) + 0 + sqrt(180) + -4 - sqrt(180)) + -3 - -3*(sqrt(180) - (sqrt(180) + 1 + 2))). -80 + 30*sqrt(5) Simplify (-2*sqrt(85)*6*2)/(sqrt(50)/(sqrt(160) + sqrt(160) + (sqrt(160) - (sqrt(160) - (sqrt(160) - (sqrt(160) + sqrt(160)*-1 + sqrt(160)))) - sqrt(160)))). -96*sqrt(17) Simplify (sqrt(130)/(sqrt(15)/(sqrt(3) - sqrt(3)*-2)))/(-2*sqrt(162)*5). -sqrt(13)/30 Simplify (4*(sqrt(153)*-2 + sqrt(17) + -1 - (1 + sqrt(2448) + -5)))**2. -1632*sqrt(17) + 78752 Simplify (sqrt(80)*-5 - sqrt(5) - (-2*sqrt(25))/sqrt(5))**2*5 + 0. 9025 Simplify -3 + (3*sqrt(350))/sqrt(7) + 0. -3 + 15*sqrt(2) Simplify ((sqrt(2) + (sqrt(200) - (sqrt(200) + sqrt(200) + -2)) - sqrt(2)) + 0 + sqrt(200))**2 + (sqrt(18) - (sqrt(108)*5)/sqrt(6))**2. 292 Simplify (-3*(sqrt(500) + -2 + 5 + -1 + 0))**2. 360*sqrt(5) + 4536 Simplify -2 + -5*(-2*sqrt(76)*-5 + sqrt(190)/(sqrt(10) + -4*sqrt(40)/sqrt(4)))**2. -330713/9 Simplify (sqrt(117) + sqrt(117) + 2*sqrt(117)*-1 + sqrt(117)*-1*5)/(sqrt(729)*2 + 1*sqrt(27)/sqrt(3)). -5*sqrt(13)/19 Simplify (sqrt(1274)*3)/(sqrt(12)/sqrt(6)*-2). -21*sqrt(13)/2 Simplify ((sqrt(605) - 2*(0 + sqrt(605)))**2 - sqrt(605))*-1 - (-5*1*sqrt(605)*-4)**2. -242605 + 11*sqrt(5) Simplify (sqrt(171)*-2*4)/(sqrt(18)/sqrt(2)*-2). 4*sqrt(19) Simplify 4*sqrt(25)/sqrt(5)*-1 + -4 + (sqrt(125) + sqrt(5))**2 + -2. -4*sqrt(5) + 174 Simplify -5*((4 + -2 + sqrt(27)/(sqrt(27)/sqrt(3)))*-3)**2*4. -1260 - 720*sqrt(3) Simplify -2 + -4 + (sqrt(6)/sqrt(32) + -6*sqrt(9)/sqrt(3))*-2. -6 + 23*sqrt(3)/2 Simplify (sqrt(1215) - (sqrt(1215) - -1*sqrt(1215)))/(3*sqrt(15)/sqrt(5)). -
{ "pile_set_name": "DM Mathematics" }
22*a**2 - 7*a - 26. What is the thousands digit of i(h)? 1 Suppose -3*g + 3*v = -108010 - 89426, 0 = 3*g - v - 197424. What is the ten thousands digit of g? 6 Suppose -65 = -19*f + 11. Suppose -f*q + 496 = -404. What is the units digit of q? 5 Let s = 652 + 6895. What is the hundreds digit of s? 5 Suppose -165 = 3*b - 6*b. Suppose -5*y + 5*c + 26 = 191, 125 = -4*y - 3*c. Let h = y + b. What is the tens digit of h? 2 Let l(f) = -1796*f - 281. What is the hundreds digit of l(-3)? 1 Suppose -3*g - 3*z = -17784, -61*z - 5 = -66*z. What is the units digit of g? 7 Let j(t) = t + 2. Let u(c) = 2*c + 12. Let p(b) = -3*j(b) - u(b). Let s be p(-5). Suppose s*l = 9*l - 8. What is the units digit of l? 4 Let l(v) = 20*v**3 - 5*v**2 - 4*v + 24. Let k be 377/117 + (-5)/((-135)/(-6)). What is the tens digit of l(k)? 0 Suppose -3*q - 144 = s + 4*s, -s - 3*q - 36 = 0. Let y be (100/6)/(9/s). Let x = 63 + y. What is the units digit of x? 3 Let d(i) = 14*i + 12*i - 7 - 31*i - 5. Let n be d(-3). Suppose -2*o - n*c = -74, -8 = -3*c + c. What is the tens digit of o? 3 Let x(k) = -k - 1. Let m be x(-1). Suppose m = -s - 2*j - 25, s - 6*s - j - 125 = 0. Let q = s - -72. What is the units digit of q? 7 Let y = -67 - -476. Let u = y - 139. Let d = u - 159. What is the hundreds digit of d? 1 Suppose 29957 = 3*s - 5*a, -2*a - 31894 = -3*s - 1922. Suppose s = -16*f + 4106. Let p = -244 - f. What is the hundreds digit of p? 1 Let s = 92332 + -56947. What is the ten thousands digit of s? 3 Let r(w) = -3 + 427*w**2 - 50*w - 853*w**2 + 425*w**2. What is the units digit of r(-25)? 2 Suppose -208203 = -20*x + 374785 - 85668. What is the thousands digit of x? 4 Let s(g) be the first derivative of g**2 - 70*g + 9. Let u be s(0). Let i = 85 + u. What is the tens digit of i? 1 Let x(m) be the second derivative of 13*m**3/6 + 55*m**2/2 - 137*m. What is the units digit of x(48)? 9 Let a(p) = -p**3 - 7*p**2 - 7*p - 3. Let h be a(-6). Let w be 21 - (h - (9 + -2)). Suppose -5*x = -425 - w. What is the tens digit of x? 9 Suppose -126*i - 9695 = -37*i - 295118. What is the units digit of i? 7 What is the thousands digit of (-14)/((-13)/(-99476)*-8)? 3 Suppose 92*m = 6715613 - 1722313. What is the hundreds digit of m? 2 Suppose 0 = -3*o + 9, 9*q - 978 = 7*q + 4*o. What is the tens digit of q? 9 Suppose -2*y - 4*t = -34101 - 36565, 10 = -2*t. What is the thousands digit of y? 5 Let l(t) = t**3 + 31*t**2 - 280*t - 121. What is the tens digit of l(-29)? 8 Suppose 2*i + 1290 = 7*o - 4*o, 5*o + 5*i = 2175. Suppose -q + 7*q = -o. Let n = q - -85. What is the units digit of n? 3 Suppose -15*d + 30146 = -10*d + 4*h, 0 = d - 4*h - 6010. What is the hundreds digit of d? 0 Let i be ((-42)/12 - -5)/(2/4). Suppose 4*m - 35 = -i*j, 15 = -2*j + 5*j. What is the tens digit of (-112)/280 - ((-1157)/m + 1)? 3 Suppose -91810 - 26063 = -21*c. What is the units digit of c? 3 Let i be 0/(-1 - (-5 - -6)). Let r be i/(4 - (4 + -2)). Suppose 13*m = -r*m + 1261. What is the units digit of m? 7 Let t be 0 - 1/(3/(-9)). Suppose 40*f + t = 41*f. Suppose c - f*z = 27, -3*c - 4*z = -z - 117. What is the tens digit of c? 3 Suppose -b + 19870 = h, -40*b + 99340 = -35*b - 5*h. What is the thousands digit of b? 9 Let a(o) = 5*o**2 + 4*o - 58. Suppose 2*p + 9 = 2*d - p, p - 7 = -d. What is the tens digit of a(d)? 4 Suppose 5*s = b + 3*b + 17, 0 = -s + 2*b + 1. What is the tens digit of s/35 - (-6032)/14? 3 Let i be 188/(4 - (-84)/(-20)). Let n = i + 1546. What is the hundreds digit of n? 6 Let q(r) be the third derivative of 0*r + 1/2*r**4 + 0 - 13*r**2 + 19/6*r**3. What is the units digit of q(7)? 3 Suppose -n - 9547 = -3*r, 5*r - 2*n = 4*r + 3189. What is the units digit of r? 1 Suppose 0 = -15*w + 5*w. Suppose -8 = -2*h - 5*y, 4*h + w*y = 5*y + 16. Suppose -2*b = -b - 2*j - 156, -624 = -4*b - h*j. What is the hundreds digit of b? 1 Let w be 1*63 + -4 + 4 + 2. Let b be (-152)/(-5) - 26/w. Suppose 3*k = 2*r - 65, -2*k - b = 4*r - 5*r. What is the units digit of r? 0 Let v = 2 + 52. Suppose 3*r + 2 = -2*m - 24, 0 = 5*m + 2*r + v. What is the units digit of -3*m/(-6)*(-111)/5? 1 Let h = -1472 + 2417. Suppose 7*c - 1162 = h. What is the tens digit of c? 0 Let s(h) = -h**3 - 52*h**2 - 47*h + 12. What is the tens digit of s(-53)? 1 Suppose -g = 20 + 29. What is the tens digit of (84/g)/((-4)/350)? 5 Let m(l) = 541*l - 377. What is the tens digit of m(24)? 0 Suppose 4*f = -i - i + 52, -5*f + 20 = 0. Let t be (-115)/9 + (-4)/i. Let c(n) = -5*n + 1. What is the tens digit of c(t)? 6 Suppose 0 = -4*h + 438 + 650. Let u be (-1082)/8 - (-4 + (-75)/(-20)). Let t = u + h. What is the units digit of t? 7 Let w(n) be the first derivative of n**3/3 - n**2/2 - 27*n + 27. Let l be w(-5). What is the hundreds digit of 395/l - 38/57? 1 What is the units digit of ((-1557827)/(-249))/(4/36)? 7 Let b(x) = -16 + 17*x + 22 - x**3 - 7 + 29*x**2. What is the hundreds digit of b(29)? 4 What is the hundreds digit of -60*(49/(-147))/(1/421)? 4 Let x be (-2)/10 + (-16280)/(-25). Suppose 5*n = 5*y + x + 234, 0 = -5*n + 10. What is the hundreds digit of (7 - 10)/(3/y)? 1 Let i(j) = j**3 - 7*j**2 + 2*j + 10. Let c be i(7). Let r be 2/((-4)/(-38))*1. Let s = r + c. What is the units digit of s? 3 Let d(v) = -5*v**3 + v**2 + 36*v - 298. What is the thousands digit of d(-11)? 6 Let y = 4498 - 3933. What is the hundreds digit of y? 5 Let n(y) = 3*y - 51. Suppose 108 = 7*q - 3*q. Let b be n(q). Suppose -32*l + 52 = -b*l. What is the units digit of l? 6 Suppose 0 = 33*o + 16*o + 175207 - 1983944. What is the tens digit of o? 1 Let k be (-3286)/(-3) - 11/33. What is the units digit of (1/8 - k/(-8))*3? 1 Suppose 4*j + 252 = 16*j. Suppose 628 = -20*s + j*s. What is the tens digit of s? 2 Suppose r - 4*a + 11 = -0*r, -2*r - 10 = -5*a. What is the tens digit of (-1 - 19/r)/(3/(-50))? 8 Let l(g) = 71*g**2 + 3*g - 3. Let o(t) = -36*t**2 - t + 2. Let x(f) = -4*l(f) - 7*o(f). Let w be x(4). What is the units digit of 2/4 + w/(-12)? 5 Suppose 91938 + 77882 = 14*x. What is the tens digit of x? 3 Suppose -7*w + 6*w + 3 = 0. Suppose -4*j + 47 - 3 = -2*k, 21 = j - w*k. What is the units digit of j? 9 Let t(v) = -465*v + 5148. What is the tens digit of t(-7)? 0 Let z(h) be the second derivative of -h**5/20 - h**4/12 + 101*h**2 - 72*h. What is the units digit of z(0)? 2 Let j(f) = f**2 + 4*f - 30. Let q(b) = -b**3 - b**2 + 5*b + 25. Let g be q(-5). Suppose -g = -5*t - 75. What is the tens digit of j(t)? 1 Let t = -23658 + 27976. What is the units digit of t? 8 Suppose f + 0 - 41 = 4*i, -4*i - f - 39 = 0. Let p be (4/(-5))/((-2)/i). What is the tens digit of p/(-6)*(-402)/(-4)? 6 Let y = -1812 - -8873. Suppose -21*s = -2473 - y. What is the hundreds digit of s? 4 Let i be 405/54*(-16)/(-10). Suppose -i*t = 4*t - 32. Suppose -t*s - 127 = -c + 4, 610 = 5*c - s. What is the hundreds digit of c? 1 Let n(l) be the second derivative of l**5/30 + l**4 - l**3/3 + 8*l. Let q(m) be the second derivative of n(m). What is the units digit of q(7)? 2 Let s be -1*(-9)/(-1)*(-695)/5. What is the hundreds digit of 2 + s - (-39 + 31)? 2 Suppose 5*y - 4*v - 24216 = 0, -13*y + 10*y = -5*v - 14514. What is the hundreds digit of y? 8 Let r(s) = 9*s**2 + 288*s - 128. What is the units digit of r(-34)? 4 Suppose -h - 8 = -3*h. Let r = -11545 + 11547. Suppose -r*k - h*k + 906 = 0. What is the units digit of k? 1 What is the thousands digit of -3 + (-11 + 7)/(1/(-2010))? 8 Let y(a) = 37*a - 75. Let s(x) = x**3 - 5*x**2 + 8*x - 7. Let d be s(4). What is the hundreds digit of y(d)? 2 What is the units digit of -14*(-3)/6 + (17766 - (-6 - 5))? 4 Let h = -18214 - -64874. What is the hundreds digit of h? 6 Let b be (5 - 3)*(-2 - 95). What is the tens digit of (b/(-4))/((-38)/(-12) + -3)? 9 What is the units digit of 1377/54*17232/18? 2 Suppose 4*s + 5*v + 10 = 260, -4*v + 188 = 3*s. Suppose -65*f + s*f = -90. Suppose -4*p + f = -198. What is the tens digit of p? 5 Let b = 45 - 101. Let r = 57 + b. What is the units digit of (3/(-6)*r)/((-1)/180)? 0 Let j = 2659 - -123. What is the thousands digit of j? 2 Suppose -5*t + 5370 = -0*t. Let g = 1791 - t. What is the hundreds digit of g? 7 Suppose 2 - 6 = -b. Suppose k = 3*k + b, -2*k = 2*g - 4. Suppose -13 = g*t - 221. What is the tens digit of t? 5 Let y(q)
{ "pile_set_name": "DM Mathematics" }
2 = r*d, l*p + 10 = -3*p for d. -2 Let k(s) = -2*s**2 + 44*s - 77. Let f be k(2). Solve 4*x - 22 = -f*h, x = -2*h + 2*x for h. 2 Let y = -1 - 6. Let w(b) = -b - 4. Let n be w(y). Solve 4*v - 3*r - 2*r = -23, -n*v + 5*r - 21 = 0 for v. -2 Suppose 4*i + 7*i - 132 = 0. Solve j = -3*o - i, 2*j + 21 = -0*j - 5*o for j. -3 Let d = -996 - -1000. Solve 3*t - 2*z = z - 9, 0 = -4*t - 4*z + d for t. -1 Let g be (-57)/(-9) - (-4)/(-12). Suppose -f - 3*s - 6 = 0, 3*f = 3*s - 0 + g. Solve f = -3*c + c + 3*q - 23, 2*q = 3*c + 22 for c. -4 Let d(o) = -o + 1. Let k be d(0). Let j be (k + 0)/(16/80). Solve 5*m - 20 = j*c, -6*c + 9*c = m - 8 for c. -2 Let r = 64 + -61. Let n = 8 - 14. Let x be (r/n)/((-2)/4). Solve -2*j = -2*t + 2*j + 4, 3*t + x = -j for t. 0 Suppose 0 = -4*y + 3*s + 10, 0 = 4*y + 14*s - 9*s + 6. Solve j = -v + 4, 11 - y = 2*j + 3*v for j. 2 Let j be -91 + 97 + 1/(1/(-6)). Solve 0 = 5*t - 2 - 8, j = 2*p - t + 2 for p. 0 Suppose 2 = -b + 3*x, 4*b - 2*x = 9 + 3. Solve 3*a + 7 = 3*g - g, 0 = -2*g + b*a + 6 for g. 5 Suppose 2*x = -3*u + 7, 0 = u + 3 - 4. Suppose -2*a - 3*h = -12, 6*h - x*h = 8. Solve 4*k = -2*r + 8, -28 = 5*r + a*k - 5*k for r. -4 Let t be 9/7 + 4/(-14). Let n be (16/40)/(6/15). Let y be (-1 - -3) + (1 - -4 - n). Solve -2*u = a + 3, -2*u + t = y*a - a for u. -2 Suppose -57 = -12*x + 39. Solve 4*n - x = -5*a, 0*n + 4*a - 4 = -2*n for n. 2 Let l = -3 - -5. Let k = l - 1. Let i = -21 + 24. Solve 3*r - i = 3*b, -3*b - k = r - 2*r for r. 1 Suppose -2*l + 34*l - 384 = 0. Solve -l = 4*c - 4*r, -1 + 21 = 5*c + 2*r for c. 2 Let f(j) = 17*j**3 + 2*j - 1. Let n be f(1). Let w = n - 18. Solve 6 = 5*c - 5*h - 34, 4*h + 16 = w for c. 4 Let h = 64 + -114. Let o = 51 + h. Solve -5*v - 2*l - 30 = 0, 5*v - 2*l + o = -9 for v. -4 Let k be 14/(-105) + 4/30. Suppose -2*p - 2*l = -k*p, 0 = -3*l. Solve -5*b = -5*s - p*s - 5, s - 5*b + 5 = 0 for s. 0 Suppose 8 = -2*n, l + 0*l - 5*n = 24. Let v be 3220/(-483)*(-3)/4. Solve l*b + 0*b = -r + 4, -v*b = -r - 14 for r. -4 Let y = -63 - -61. Let j be 0/(-5) - (y - 0). Solve -4 = 4*b + 2*k, 5 = -j*b + 2*k + 3 for b. -1 Let g be -4*(-1)/(-4)*-5. Suppose -g*f + 5 = -5. Let a(c) = -23*c + 1. Let v be a(-1). Solve f*t + v = 4*p - 2*t, 0 = -4*t - 20 for p. 1 Let y be (-4)/(-8) + (-12)/(-8). Suppose w - y = -1. Let k be 1/((-2)/(-4)) - -1. Solve -4*t = 5*v - 3, -2*t = -v - k*t + w for v. -1 Let t be 0 - (-3 - 6/(-2)). Suppose -7*l + 2*l = t. Suppose -9 = -3*w - l*w. Solve -2*v - 18 = -4*q, 0 = -3*q + 3 + w for v. -5 Let m(v) = 3*v**3 + v**2 - 3*v + 2. Let i be m(1). Let b be i + (-4 - -11) + 0. Solve -3*u - 1 = -x - 11, 0 = -2*x + b for u. 5 Let l(w) = w**2 + 7*w - 28. Let a be l(-10). Suppose a = -18*h + 19*h. Solve -6*n + 2*n + 3*s = 0, h*s = -2*n for n. 0 Let f(l) = 11*l + 4. Let o(w) = 11*w + 4. Let b(u) = -3*f(u) + 4*o(u). Let v be b(2). Solve -5*p = -3*q + v - 1, -2*p - 2*q + 6 = 0 for p. -2 Suppose -10 = -146*a + 144*a. Solve 0 = 5*o - 5*f - 0 - 10, -a*o + 4*f + 8 = 0 for o. 0 Suppose -4*w - o = -15, 7*o = -5*w + 10*o + 40. Solve w*x = -2*f - 26, -13 = x - 3*f + 6*f for x. -4 Let p(j) be the first derivative of -1/4*j**4 - 1/2*j**2 - 4/3*j**3 - 5 + 0*j. Let f be p(-4). Solve g = 4*m + 25, m - f*g + 30 = g for m. -5 Let c = -23 - -23. Suppose 2*f = 8, -2*p + 24 = -c*p + 5*f. Solve -k + p = -2*u, 0 = -2*k - u - u + 4 for k. 2 Suppose -g - z + 1 = 0, -2*g + 4*z = 2*z - 14. Solve -5*a + 7 + 5 = -2*j, -g*j = -a + 6 for a. 2 Let b be ((-28)/6)/(6/(-63)). Let x be (-1)/(-7) + 42/b. Suppose -5*s + r + 21 = 0, -3 = 4*r + x. Solve -2*a = d - 1, -4*a - s*d = -9*d + 19 for a. -1 Let j(a) = 12*a - 40. Let k be j(6). Solve -3*p + 4*s = 27, -3*p + 4*s = p + k for p. -5 Let u be 21 + (-5)/((-20)/4). Suppose 3*s + 27 = 4*j - u, j = -s + 7. Solve 12 = -4*b - a, a - 6*a = -5*b + j for b. -2 Suppose 0 = -75*r - 188 + 713. Solve v = -4*w + 5, r*w = 2*w + 2*v + 3 for w. 1 Suppose -4*q - 9 = -7*q. Suppose 5*i = 22 - 57. Let v be (i - -4)/(-3) + 8/4. Solve k - 3*y = -v, q*k + 2*y = -k + 16 for k. 3 Let o(m) = -m**3 - 9*m**2 - 2*m. Let b be o(-9). Let i be (-32)/12*b/(-8). Let q = i + 19. Solve -3*l + 15 = 4*f - 0*f, 0 = f - 5*l + q for f. 0 Suppose -w = 2*w - 6. Suppose -3 = 2*g - 11. Solve 2*l - 4*z = -6 + w, 0 = 4*z + g for l. -4 Let p = -191 + 198. Solve 0 = 2*t + 2*d - p - 13, -20 = -4*d for t. 5 Let m = 20 + -69. Let b = m + 20. Let s = b + 34. Solve -3*l = -d - 6, -s*l = d + 2 - 12 for d. 0 Let p(q) = 4 - 5*q**2 - 4 - 6*q + 4*q**2. Let a be p(-5). Solve 0 = 2*z - 4, 2*w - 3*w + a*z - 14 = 0 for w. -4 Suppose 20 = 4*b, 0*b + 35 = 3*g + b. Suppose 0 = g*n - 50. Suppose 5*t + 5 = -2*x - 0, -5*t = 3*x. Solve -l = -x*o + 30, 0*o = -o + n*l + 30 for o. 5 Let v(g) = g**2 - 19*g - 1. Let h = 21 - 15. Let n(q) = -q**2 + 18*q. Let a(u) = h*v(u) + 7*n(u). Let c be a(11). Solve d + f = 5, 0 = c*f - 1 - 4 for d. 4 Suppose 612 = 16*i - 7*i. Let l = i + -68. Solve 2*u - q - 1 = -2, -5*u + 2*q - 4 = l for u. -2 Let o = -1221 - -1223. Solve s = x, 2*x + o = -5*s + 16 for s. 2 Suppose -28 = -n + 8*n. Let f be -2*n/24*0. Solve -3*j + 15 = 2*c - 6*j, 2*c - 4*j - 18 = f for c. 3 Suppose 5*u - 10 - 5 = 0. Let z be 459/68*8/u. Solve 5*y = i - 4*i - z, 2*i = -3*y - 11 for y. -3 Let y = 38 - 37. Let z(j) = 2*j + 3. Let m be z(y). Solve -t + 6 = -2*h, 6*h - 2*h = m*t - 18 for h. -2 Let o be 68/20 + (-54)/(-90). Solve m - 4*d = -7, 3*d - 13 = o*m + 2*d for m. -3 Suppose m + 2*u = -3, -3*u = 11 + 1. Solve -2*t + 3*z = 3, -7 = m*t - 4*z - 3 for t. 0 Let g be ((-77)/(-33))/((-4)/(-12)). Solve -q = -3*w + g, -2*w - 4 = 5*q - 20 for q. 2 Let x be (-2)/3*(-27)/2. Suppose x = 2*w - 15. Solve 3*q - 35 = -5*o, -4*o = -4 - w for q. 5 Let z be ((-40)/(-12))/((-8)/(-36)). Suppose 9*d - z = 6*d. Solve -g - d = -1, g + 3 = -b for b. 1 Suppose -88 = -5*t - 4*j, -5*t + 78 = -14*j + 13*j. Solve 0 = -3*a + 15, 3*b - 6*a = -4*a - t for b. -2 Suppose -4*n + 6 + 6 = 0. Let t = 981 - 976. Solve 5*q = -n*y + 9 + 16, -5 = -q + t*y for q. 5 Let i be (-6)/(-9)*45/6. Suppose i*a = 2*t - 0*t + 18, 3*t + 13 = 4*a. Solve -a*n - m = 20, 2*m + 12 = -m for n. -4 Let g(w) = w + 1. Let f be g(-4). Let d be (5 + f)*(-6)/(-4). Let o(a) = -4*a - 92. Let h be o(-23). Solve 0 = 2*q + 6*r - d*r + 18, -2*q + 4*r + 10 = h for q. -3 Suppose -17*y = 105 - 139. Solve -h + 0*h + 5 = 3*t, -y*h + 2*t = -10 for h. 5 Let k be (-37)/37 - 4/(-1). Solve 18 = k*j - 2*u - 3*u, -1 = -4*j - u for j. 1 Let h be (2 - -1)/((-3)/(-4)). Let i(r) = -r + 9. Let k be i(h). Solve -k*j = -m + 13, -2*m + 4*j + 21 = 7 for m. 3 Let a be (18/(-1))/(-2) + -1. Suppose o = 4*h - 15, 3*o + 0*h - h = 10. Suppose -5*f = -0*f - 10, -o*f = 5*d - 35. Solve 3*l - 1 = x + 5, x = d*l - a for l. 1 Let d be ((-21)/(-42))/((-4)/(-16)). Solve 10*j = -o + 7*j - 10, 0 = o - d*j for o. -4 Let k(v) = -v**3 + 3*v**2 + 4*v - 3. Let w be k(3). Let i = w + -7. Let r be i + 5 + -1 + -3. Solve 5*x = r*d - 12, 20 = 3*x - 6*x + 5*d for x. 0 Suppose -106*a + 22 = 2*r - 105*a, -3*a - 22 = -2*r. Solve 2*y - 3*h = r, -h = -4*y + 2*h + 7 for y. -2 Suppose 2*w = 8*g - 10*g + 44, -5*g + 26 = w. Solve 0*b + w = l + 4*b, 4*l - 3*b = 8 for l. 5 Let i = 76 + -45. Suppose -t = 4*t - g + 21, 3*t + i = -4*g. Let u be (-11)/t - (-10)/(-50). Solve u*k = m + 4*m - 13, 4*k = 3*m - 5 for k. 1 Suppose 4*b + r - 14 = -r, 2 = -2*r. Let u be 7/b - 1/(-4). Suppose -2*m = -2, 96 = 2*y - u*m + 12. Solve 3*j - 3 = -5*p - y, 35 = -3*p - 4*j for p. -5 Let k be 109 + 2 - ((6 - 6) + -1). Let d = 117 - k. Solve m + 4*t = -0*t + 7, -3*m - d = -t for m. -1 Let q(a) = 4*a + 64. Let o be q(-15). Let l = -8 + 13. Solve -4*y + l = 3*p, o + 2 = 2*p + 4*y for p. -1 Suppose 3*b = -3*c + 12, -3*c - 4*b = -c. Let r(f) = f**3 - 9*f**2 + 8*f + 9. Let d be r(c). Let a = -790 - -825. Solve k + a = 5*p + d, -23 = 3*k - 4*p for k. -1 Let l = 39 - 29. Let s(j) = -2*j**2 + 22*j - 15. Let b be s(l). Solve 8 = -2*i + 5*g - 2, -2*i + 30 = b*g for i. 5 Let c be ((-14)/(-6))/7*0. Suppose k = 2 - c. Solve -4*j - j = 4*v - 8, -5*j = v - k for v. 2 Let m = -27 + 27. Suppose 0 = -m*w - 5*w. Suppose 24 = 3*s - 5*d, -8*d + 4*d - 18 = -2*s. Solve 7*n - s*n = 4*q + 4, n - 2*q - 2 = w for n. 0 Suppose 19 = i - 0*i. Suppose -2*k + 115 - 81 = 4*t, -4*k - 9 = -3*t. Solve k*v = 5*l - 25, -3*l = 4*v + 4 - i for l. 5 Le
{ "pile_set_name": "DM Mathematics" }
q - 34 + 6. Suppose 6*d = -8 - 64. Let z be 1/(8/d + 1). Sort z, i, 7. i, z, 7 Let a be -2 - 17/(-10) - (-13720)/400. Suppose 5*c - 5*y = 130, -c = -2*c + 5*y + 10. Let p = c - a. Sort 5, 4, 2, p in decreasing order. 5, 4, 2, p Let p = -235 - -232. Let n = 23.6 - 23.9. Sort p, 1/4, n in descending order. 1/4, n, p Let s(j) = 83*j + 2289. Let b be s(-28). Sort b, -6, -7 in descending order. -6, -7, b Suppose 9*c + 27 = 14*c + z, -c = 2*z - 9. Suppose 2*j - p = 4, 4*j - 1 = 3*p + c. Let w be (-2)/(-6)*(-24)/4. Sort w, j, 4 in increasing order. w, j, 4 Let m be ((-12)/(-9))/(6/(-27)). Let t be (m/8)/(21/12). Let i be ((-24)/(-9))/((-420)/(-315)). Put -3, 5, t, i in decreasing order. 5, i, t, -3 Let b = 15888 - 15884. Sort b, -1, -14, 3, -20 in decreasing order. b, 3, -1, -14, -20 Let a(s) = -32*s + 168. Let g be a(5). Suppose 5*i + 7 = -3. Suppose 0 = b + u - 5, 16*b + 5*u - 23 = 12*b. Sort i, g, b in ascending order. i, b, g Let m(b) = -36 - b + 4*b - 2*b + 3. Let q be m(21). Suppose 0*l = -l - 4. Sort 0, l, q, 2. q, l, 0, 2 Let f = -176 - -247. Let x = f - 49. Let y = x - 22.3. Sort -1, y, -3/5, -1/10 in decreasing order. -1/10, y, -3/5, -1 Let s = 1613/216 + -205/27. Sort 2/7, 1, s, -21, 0 in decreasing order. 1, 2/7, 0, s, -21 Let s = 62 - 66. Let q(a) = a**2 + 15*a + 9. Let y be q(-14). Let h be -4*(-4)/(-24)*-3. Put s, y, h in decreasing order. h, s, y Suppose -2*b = 12, 6*j = 10*j + 3*b + 46. Sort -3, 0, j, 2, 3 in decreasing order. 3, 2, 0, -3, j Suppose -32 = 3*u - 4*u + i, i + 4 = 0. Suppose 3*f - 4*k = u, -5*k = -8*f + 6*f + 21. Let y be (-36)/(-24)*f/(-3). Sort 5, y, -3 in ascending order. y, -3, 5 Let h(w) = -w**2 + 16*w + 52. Let n be h(19). Suppose 3*j - 2 = 4*j. Sort j, n, 65 in descending order. 65, j, n Let c = -0.05 + -0.45. Let q = -8282 + 8283. Sort q, 0.4, c, -0.3. c, -0.3, 0.4, q Let r be (-4*3/(-12))/(-1) + 40. Suppose -140 = -5*u + u. Let y be r/15 - 21/u. Sort y, 1, 3. 1, y, 3 Suppose w + 15 - 4 = 0. Let o = -11 - w. Let g = 418 + -417. Put o, 2, g in descending order. 2, g, o Let p = -4329 - -3835. Sort -0.2, -3, p. p, -3, -0.2 Suppose -4*v + 246 - 190 = 0. Let m be 3572/(-684) - (v/18 - 1). Put 1/5, -0.3, m, 8 in decreasing order. 8, 1/5, -0.3, m Suppose 6*o - 3*o - 32 = 4*m, 2*o - 33 = 5*m. Suppose 0 = -2*y + o*a - 8*a - 20, 3*y = a - 2. Sort -5/2, -4, -5/3, y. -4, -5/2, y, -5/3 Suppose -5*t + 225 + 25 = 0. Suppose 0*f = -2*f - 4*z + t, 0 = -z. Let k = 227/9 - f. Sort 6, k, -2, 4 in ascending order. -2, k, 4, 6 Let g = 26/43 + -79/344. Suppose -4*x - 55 = x. Let u = x - -5. Put u, 0.1, g in decreasing order. g, 0.1, u Let u = 89.1 + -89.1305. Let h = u + -0.3695. Let k = 13 - 18. Sort -1.2, h, 0, k in increasing order. k, -1.2, h, 0 Suppose -17*f + 15*f = -4*o - 6, -2*o - 3*f = 23. Put o, -522, 5, 4 in decreasing order. 5, 4, o, -522 Let x(l) = -l**3 - 66*l**2 - 125*l + 193. Let m be x(-64). Sort 25, -2/13, -3/5, 3, m in descending order. 25, 3, m, -2/13, -3/5 Let o = 0.15651 - 0.25651. Sort 0.11, -0.2, -52, o. -52, -0.2, o, 0.11 Let n be ((-798)/140 + 6)/(12/(-32)). Let p be (2 - -1)/(-6)*(-4)/(-6). Let a = -0.22 - 0.08. Sort p, 0.3, a, n in ascending order. n, p, a, 0.3 Let g = -12.5 + -28.5. Let s = 107 - g. Sort 0, -4, s in decreasing order. s, 0, -4 Let x = -0.0077 + -0.6333. Let i = x - -0.041. Let z = -12 + 17. Put i, z, -1 in ascending order. -1, i, z Let b = 45450.01 + -45450. Let t be (-15)/25 + -1 + 1. Sort 2, t, b. t, b, 2 Let i = -2816 + 2812. Sort 12, i, -20. -20, i, 12 Suppose 0 = -16*r - 22*r - 570. Let l be 44/(-330) - 32/r. Suppose -f = -6*f - 15. Sort l, 35, f in decreasing order. 35, l, f Let t = -1 - -4. Suppose -u = t*u. Suppose 5*z = 15*s + 100, s = 3*z - 41 + 37. Put u, -2, z, 4 in descending order. 4, u, z, -2 Let u be 5/(((-760)/(-96))/19). Suppose -4*v - 5*t + 5 = 0, 2*v + 5 = 3*v + 2*t. Let w(r) = r**2 + 5*r - 3. Let g be w(v). Sort 5, g, u in ascending order. g, 5, u Let k(i) = -i**3 + 48*i**2 + 94*i + 303. Let l be k(50). Put -1/4, l, 1, 0.2 in descending order. l, 1, 0.2, -1/4 Let w(b) = -b**2 + 17*b - 9. Let u be w(16). Suppose 6*r - 2*r = -20. Sort r, 1, u, 3 in decreasing order. u, 3, 1, r Let i = -430 + 444. Suppose -33 + i = -19*c. Put -5, 0, -2, c in decreasing order. c, 0, -2, -5 Suppose -7 + 1 = 2*p. Let o(m) = 8*m**2 - 62*m + 181. Let g be o(3). Put 5/4, g, p in ascending order. p, 5/4, g Suppose w = -1240 + 1252, 3*z = -5*w + 75. Suppose 5*c - 3*c = 0. Put z, -4, c, 4 in descending order. z, 4, c, -4 Suppose 389*g = 354*g - 70. Sort 2, 18, g, -1, 6/7 in descending order. 18, 2, 6/7, -1, g Let t = -574 + 569. Sort t, 3, 0.05, 4, -1 in ascending order. t, -1, 0.05, 3, 4 Let d be 9/(-21) - (2 + -3) - (-3774)/(-14). Put d, 0, -7 in descending order. 0, -7, d Let d(j) = -216*j - 3236. Let f be d(-15). Put -11, 7, 0, 3, f in ascending order. -11, 0, 3, f, 7 Suppose p + 2*g = 32, -4*g + 17 = 5*p - 149. Sort -3, -5, 0, p. -5, -3, 0, p Let r = 5.33 + -24.33. Let v = 7 - 3. Sort v, r, -5, 5 in descending order. 5, v, -5, r Suppose -4*s - 3*t = 1, -6*s + 5 = -7*s + 4*t. Sort 0, 36, 2, s in descending order. 36, 2, 0, s Let i = -0.33 + 0.03. Let f = 37 + -36.9. Suppose y + n + 9 = 0, 11*y + 51 = -24*n + 25*n. Put i, f, 3/7, y in increasing order. y, i, f, 3/7 Let a = 4884 - 4887. Sort a, 1, 2, -31 in ascending order. -31, a, 1, 2 Suppose 2*i + 82 = 2*a + 6*i, 47 = a - i. Sort -6, -14, a in descending order. a, -6, -14 Let u = -14.8 - -15. Let c = u + -5.2. Let z be 3 - (82/26)/1. Sort 17, c, z in decreasing order. 17, z, c Let g = -6876 - -6877. Put g, -2, -5, -300, 3 in descending order. 3, g, -2, -5, -300 Let l be 3*-2*(-2)/(-6). Let u = -33552 + 33564. Sort u, l, -11 in decreasing order. u, l, -11 Suppose -2*g - 91 + 105 = 4*z, 2*z - 27 = 3*g. Put 4, -1630, g in descending order. 4, g, -1630 Let j(a) = a**2 + 13*a + 106. Let h be j(-7). Put 0.2, -1/20, h in ascending order. -1/20, 0.2, h Let w be ((-2)/12)/(9*1/7764). Let g = w + 144. Put g, 2, -7/8, -4 in decreasing order. 2, g, -7/8, -4 Suppose -g - 18 = -5*i, g - 2*g = -i + 2. Suppose 0 = 105*p - 302*p + 288 - 91. Sort 3, p, i. p, 3, i Let r(v) = 89*v**2 + 89*v - 3. Let o be r(-1). Sort o, 0, 1406. o, 0, 1406 Let c be (-2)/4 + (-13)/(-2). Let b = -647 - -657. Suppose -13*v + b = -18*v. Sort v, -5, c, 0. -5, v, 0, c Let c be -100 + 5 - (-1 + -1). Let g(b) = b**3 + 9*b**2 - 16*b + 29. Let o be g(-10). Let k = c + o. Put 2, k, -5, 3 in increasing order. -5, k, 2, 3 Suppose 23*i - 5472 + 1782 = 113*i. Sort 3, -6, i, -4 in decreasing order. 3, -4, -6, i Let r = 1612 + -1462.8. Let s = r - 79.1. Let p = s + -70. Sort 0.2, 10, p in decreasing order. 10, 0.2, p Let q = -15.64 + 15.04. Let n be (-3)/5*(-16)/12. Put q, -0.03, n in descending order. n, -0.03, q Let b = -8 + 33/4. Sort 0, -6/7, -0.5, -1, b in descending order. b, 0, -0.5, -6/7, -1 Let z be 15 + -12 - (-2 + 0). Suppose -z*r - 37 = -17. Sort 12, -2, r in descending order. 12, -2, r Suppose 80 + 5 + 27 = 28*z. Put 3, z, -4, -2, 1 in descending order. z, 3, 1, -2, -4 Let m = -3942 - -27593/7. Let q be ((-2)/33)/(4/(-6)). Sort m, q, -4, -0.3 in ascending order. -4, -0.3, m, q Let i = 0.4 - 0.7. Suppose -5*x = -5*n + 5, -2*n + 16 = 4*x + 8. Suppose -2*z - j + 6 = z, 0 = 5*z + n*j - 11. Sort 0, i, z in decreasing order. z, 0, i Let m = -2 - -1.97. Suppose 4*d = -5*i + 75, 0 = 3*d - 4*d. Suppose 18*c = 5*a + 20*c - 29, 5*a - 5*c - i = 0. Sort m, 2, -2/5, a in decreasing order. a, 2, m, -2/5 Let b be (1 - 1/3)*(30 - 25 - 8). Put 5, b, -5, -118, 3 in descending order. 5, 3, b, -5, -118 Let s(r) = 91*r - 137. Let y be s(2). Put y, -16, -2 in ascending order. -16, -2, y Let f = 50 - 26. Suppose -12*a + f = -0*a. Put 5, -11, a in descending order. 5, a, -11 Suppose 2*i + 5*r = -4, -3*i + 8*i - r - 17 = 0. Suppose -i = -f - 3*m, -3*f - 4 = -3*m - 13. Suppose 6 - f = -q. Sort 4, q, 0 in descending order. 4, 0, q Let z be (-92592)/(-81) + (4/(-1))/36. Put 0, z, 2 in decreasing order. z, 2, 0 Let n = 55303/3 + -18136. Let x = -297 + n. Put 4, -0.5, x, -0.4 in decreasing order. 4, x, -0.4, -0.5 Let q be (6 + -4)/(267/(-30) - 52/(-130)). Sort -2/9, 3, 3/2, -0.5, q in increasing order. -0.5, q, -2/9, 3/2, 3 Let v = -1.6 + 1.3. Let s = 107 - 213/2. Sort -28, s, v in ascending order. -28, v, s L
{ "pile_set_name": "DM Mathematics" }
= 2*k, 0 = 2*b - 4*k + 2. Put b, 3, 0.2 in increasing order. 0.2, 3, b Let l = -8 - -4. Let m = -7 - -7. Put -5, l, m in decreasing order. m, l, -5 Let b = 54/245 + -1/49. Let n(j) = j**2 + 2*j + 1. Let r be n(-1). Let a = 3 - 4. Sort b, a, r in increasing order. a, r, b Let p(s) = 3*s + 7. Let f be p(-4). Let j be ((-1)/(-3))/((-1)/(-3)). Sort f, -2, j in descending order. j, -2, f Let i be (-24)/(-14) + (-6)/(-21). Let z(a) = a. Let o be z(4). Suppose -16 - o = 5*p. Sort p, i, 0. p, 0, i Suppose 1 = -2*i - 3. Sort i, 3, 8. i, 3, 8 Let i = -1 - -3. Sort i, -5, -9, 0. -9, -5, 0, i Let o = -1 + -3. Let i be (-2)/1 + (-6 - (-6 - -3)). Put o, i, 0 in decreasing order. 0, o, i Suppose 5*s = -0*s. Suppose -4*k + s*q = 5*q - 9, -q = 5*k + 15. Sort k, -6, 4 in increasing order. -6, k, 4 Let v(q) be the third derivative of -q**6/120 + q**5/60 + q**4/24 + 2*q**3/3 - q**2. Let a be v(0). Sort a, -5, -4 in descending order. a, -4, -5 Let a = -5.04 - -5. Let i = a - 5.96. Let d = i - -5.7. Put -2, d, 2/5 in ascending order. -2, d, 2/5 Let m = 2 - 2. Sort -1, 5, m in increasing order. -1, m, 5 Let n = 1.72 + 0.28. Let q = -3.58 + 0.38. Let h = q - 0.8. Put h, n, 4 in decreasing order. 4, n, h Let m = 7 + -11. Let c be (-1)/(-2)*8/(-1). Let h = c - -6. Put -2, h, m in descending order. h, -2, m Let n be (-8)/(-15) + 1/(-5). Let q(x) = x - 5. Let v be q(7). Suppose o + 4 = -p, -v*o + 5*o - 5*p = 28. Sort -0.3, n, o. -0.3, n, o Let x = -12 - -17. Let v = 34.2 + -34. Put -1/2, x, v in descending order. x, v, -1/2 Let f = -39/245 - 2/49. Put f, -1/2, -5 in increasing order. -5, -1/2, f Let o = -39/2 - -20. Let m = 1.3 - 1. Put -4/5, m, o in decreasing order. o, m, -4/5 Let w = 6/13 - 17/65. Let u = 7 + -3. Put w, 0.3, u in increasing order. w, 0.3, u Let o(w) = -w - 7. Let g be o(-8). Sort -4, 2, g, -5. -5, -4, g, 2 Let o be (1 + -4)/(18/8). Let i = 56 - 394/7. Put -5, i, o in increasing order. -5, o, i Suppose -m - 2*g = 3*g + 11, 2*m - 17 = 3*g. Let x be (-7)/(-21) + m/6. Let h = 0 + -5. Put 3, h, x in ascending order. h, x, 3 Let p be (1/2)/(6/36). Put -0.5, p, 0.5, -3 in descending order. p, 0.5, -0.5, -3 Suppose 0*y - y = 0. Sort -3, 3, y in decreasing order. 3, y, -3 Let n(q) = -6*q. Let j be n(1). Let c be 26/(-7) - j/(-21). Let f(w) = -w**3 + 17*w**2 + w - 12. Let b be f(17). Put 0, c, b in descending order. b, 0, c Let c be (2/(-4))/(2*(-2)/8). Put -5, c, 8, 5 in descending order. 8, 5, c, -5 Let g = 1.3 + -2.4. Let s = g - -1. Let c = -0.05 + -0.35. Sort -1/3, c, s in ascending order. c, -1/3, s Let w be ((-22)/(-55))/(12/(-262)). Let i = w - -47/5. Sort -0.4, -4, i in ascending order. -4, -0.4, i Let i = -4.932 - 0.068. Put 2, -6, i, -5/4 in descending order. 2, -5/4, i, -6 Suppose -3 - 1 = -y. Suppose -4 = 2*r - 0*r. Sort -1, y, r in descending order. y, -1, r Let b = -9 - -11. Suppose -4 = -2*g - 4*d, -b*g = d + 2*d - 5. Let y = -4 - -7. Put -5, y, g in decreasing order. g, y, -5 Let g = 10 + -11. Let i = -17 - -12. Sort -4, i, g. i, -4, g Let x(r) = r**3 - 3*r**2 + 2. Let q be x(3). Sort 3, q, -3 in decreasing order. 3, q, -3 Let g = 8 - 6. Put 1/5, -1, g in increasing order. -1, 1/5, g Let k = -15 + 6. Let l be (-1)/k + (-1)/3. Let j = 3.95 + 0.05. Put l, j, -2 in descending order. j, l, -2 Let d = -23.9 - -22. Let q = d - -0.9. Put q, 4, 9 in increasing order. q, 4, 9 Suppose 0*m - 15 = -5*m, 2*y = 2*m - 6. Let c(f) = -f**2 + 11*f - 9. Let g be c(10). Sort g, y, 3. y, g, 3 Let k = 0.6 - 1. Let h = 257/2 + -129. Sort k, 1, h in descending order. 1, k, h Let p be (-33)/(-2)*(-4)/(-6). Let d = p - 15. Let a(z) = -z**3 - 3*z**2 + 3*z + 1. Let u be a(d). Sort -1, -2, u in descending order. u, -1, -2 Let f be 4/(-6) + 30/(-9). Suppose -3*k - 13 = q, 2*q + 5 = 3*k + 24. Put 0, k, f in increasing order. k, f, 0 Let s = -120 - -125. Sort s, 7, -3, 1 in increasing order. -3, 1, s, 7 Let d(u) = -2*u + 1. Suppose -2*y = 3*s + 5, 5*s = -4*y + 4*s - 15. Let t be d(y). Let o be (-3)/(-2)*(-12)/t. Put -1, o, -5 in descending order. -1, o, -5 Suppose -3*t = -2*t - 2*f - 5, 0 = 4*t + 2*f - 10. Let m = 11 + -15. Put 0, m, t in descending order. t, 0, m Let u = -2 - -3. Let w be (-3)/3 - (-10)/6. Put u, 2, w in descending order. 2, u, w Suppose 2*p - 2 = -8. Suppose 0*h - 5*h = 5*v + 30, 21 = 4*h - 5*v. Put p, h, 1 in descending order. 1, h, p Let x = -1.9 + -0.1. Let q = 11.8 - 10. Let h = x + q. Sort -2, h, -1/9 in decreasing order. -1/9, h, -2 Let a(i) be the first derivative of -i**4/4 - 5*i**3/3 - i + 2. Let l be a(-5). Let h = -5 + 10. Sort l, -3, h in ascending order. -3, l, h Let k = -109 - -109.57. Let b = k + -0.07. Sort -2, -4, b in ascending order. -4, -2, b Let g = 73 - 62. Sort -0.3, 5, g, 0. -0.3, 0, 5, g Suppose -5*y = -5, 2*s - 2*y - 2 = -4. Put -3, 1, s in descending order. 1, s, -3 Let c = -9 + 8.91. Sort 0, c, -1/3, -1 in decreasing order. 0, c, -1/3, -1 Suppose 3*r + 2 = 4*r. Suppose 0 = 3*l - t + 2*t - 20, 0 = -4*l - 5*t + 45. Let i = 2 - l. Sort r, -1, i. i, -1, r Suppose -5*q + 45 = -0*q. Put 0.3, q, -4 in increasing order. -4, 0.3, q Suppose 0 = -5*f + 3*h - 0 - 2, -f - 5*h = -22. Suppose 2*d - 10 = 3*d. Let c be ((-8)/d)/((-6)/10). Sort -0.1, f, c in increasing order. c, -0.1, f Let p be 3 - (-4 - (-295)/45). Sort p, -9, 2/7, -3 in decreasing order. p, 2/7, -3, -9 Suppose -4*w - 2 - 36 = -2*z, -4*w - 35 = -z. Let c(d) = d**2 + 6*d + 6. Let p be c(-5). Put -5, p, w in ascending order. w, -5, p Suppose -2*i + 5 = -3*i. Sort -2, i, 1. i, -2, 1 Suppose -2 = -2*u, 4*l + l + 8 = -2*u. Sort 1, l, -1 in descending order. 1, -1, l Let p be 202/(-14)*13/1. Let y = -188 - p. Sort 0.5, -3, y. -3, y, 0.5 Let c = -1 + 1. Let g = 0 - c. Let q be 6/9 + ((-35)/12)/7. Put 2/13, q, g in descending order. q, 2/13, g Let g(s) = -7*s**2 + 3*s + 2. Let v be g(-1). Sort 0, v, -4, -5. v, -5, -4, 0 Let l = 12 + -8. Suppose -2*g - 2*c = -c - 5, 4*g - 3*c - 5 = 0. Put g, l, 0.1 in descending order. l, g, 0.1 Let y(p) = p + 14. Let f be y(-16). Put -4, -5, f in ascending order. -5, -4, f Let w be 1/1*-1*2. Let k be 1*(-2)/w + 0. Suppose 5*q - 8 = 12, 4*x + 5*q - 4 = 0. Sort 3, k, x. x, k, 3 Suppose -u + 165 = -5*z, -u - 33 - 132 = 5*z. Let j = z - -65/2. Sort j, -0.4, 3 in increasing order. j, -0.4, 3 Let u = -3 - -2. Suppose 4*s + 16 = 0, 4*p - 4*s + 7 = 31. Sort p, u, -3 in increasing order. -3, u, p Let b(k) = k**3 - 5*k**2 - k + 4. Let a be b(5). Let c be -4 + 1 + 3 + a. Sort -5, c, 0.5 in descending order. 0.5, c, -5 Suppose -4*s + 52 = 4. Suppose -3*h + 7 = -2*t, 8*h - s = 3*h + 3*t. Let x(c) = c**3 + 7*c**2 - 9*c - 4. Let j be x(-8). Put 0, j, h in increasing order. 0, h, j Let k = 1.4 - -6.6. Let v = k - 6. Suppose 3*o + 0*o + 6 = 0. Put o, v, -0.2 in descending order. v, -0.2, o Suppose 35*n - 6 = 36*n. Suppose -4 - 2 = 3*l. Put n, l, -1 in increasing order. n, l, -1 Let k be (80/8)/(0 + 2). Sort k, 7/2, -0.5 in decreasing order. k, 7/2, -0.5 Let w(x) = -3*x**3. Let s be w(-1). Suppose s*t - 4 = t. Suppose -5 = -5*c - 2*m, -5*c + 3*m - 8 - 12 = 0. Sort t, -5, c in decreasing order. t, c, -5 Let j = -4 - -4. Put 2/9, 0.02, j in ascending order. j, 0.02, 2/9 Let w = -4.89 + -0.11. Let b be (-174)/(-390) + (-6)/10. Put b, w, 0 in decreasing order. 0, b, w Let i = 1.517 - 1.5. Let k = 5.283 + i. Let u = k + -5. Sort 0.4, u, -2 in ascending order. -2, u, 0.4 Let n = 2/73 - 152/219. Sort n, -0.2, 2, 4. n, -0.2, 2, 4 Let r = 33 - 23. Suppose 0 = -5*m + 565 + 135. Let u be m/(-225) - (-4)/r. Sort 1, u, -0.2 in descending order. 1, -0.2, u Let r = -1/155 - -317/1085. Let m = -102 - -1225/12. Put m, 5, r in ascending order. m, r, 5 Suppose 2*k - 7*k = -20. Put -2, k, -5 in descending order. k, -2, -5 Let x be 2/12*(-8 - -4)*9. Sort x, -1, 5 in descending order. 5, -1, x Suppose -3*u + 5 + 1 = 0. Suppose -3*s + 4*z = -8, -3*z = -4*s - 7*z - 36. Sort 8, u, s in increasing order. s, u, 8 Suppose -7 = -t - 2*q, 5*t - 4*t + 13 = 2*q. Let s be t/(1*9/(-6)). Put -3, 1, s in ascending order. -3, 1, s Let n(b) = 4*b - 1. Let v be n(1). Suppose 0 = 3*t - 5*y - 3, t - 5 = -3*y + 6*y. Let o be (0/(-2) - -2) + -5. Sort t, v, o in decreasing order. v, o, t Let b = 119/4 - 30. Let q be ((-4)/3)/((-6)/3). Put q, -5, b in descending order. q, b, -5 Let j be (1 - -1)/((-8)/(-12)).
{ "pile_set_name": "DM Mathematics" }
of 40/14651 and 31/82271. 1069523 What is the common denominator of 85/8264304 and 73/3944? 140493168 What is the common denominator of 29/7338306 and 34/11007459? 22014918 Calculate the common denominator of 39/28611980 and -53/36. 257507820 Find the common denominator of 83/297 and -157/26463888. 26463888 Calculate the lowest common multiple of 114912 and 2183328. 2183328 Calculate the smallest common multiple of 1969 and 74. 145706 Find the common denominator of 1/6876 and -7/19904. 34214976 What is the common denominator of -169/11863170 and -68/27? 35589510 Calculate the lowest common multiple of 7075 and 465580. 658795700 Calculate the lowest common multiple of 84592 and 37093592. 74187184 What is the common denominator of 49/6170292 and 47/16968303? 67873212 Find the common denominator of 36/2290085 and -9/1652410. 682445330 Find the common denominator of -67/1243550 and -63/48620. 32332300 What is the common denominator of -57/295405 and -61/142135? 64102885 Calculate the common denominator of -35/197 and -16/49327. 9717419 What is the lowest common multiple of 1692235 and 500280? 446750040 What is the smallest common multiple of 688692 and 24? 1377384 Calculate the common denominator of -91/342540 and 17/29526948. 147634740 Find the common denominator of -25/506 and -12/424327. 9335194 What is the least common multiple of 47 and 12540? 589380 Find the common denominator of -29/17160 and -199/1366200. 17760600 What is the lowest common multiple of 394 and 86? 16942 What is the common denominator of 77/334440 and 43/4704? 65550240 Find the common denominator of -31/10 and -61/5589068. 27945340 What is the common denominator of -71/1298 and -41/4189? 92158 What is the common denominator of 61/21 and -7/27419799? 191938593 Calculate the common denominator of 43/168 and -61/9184896. 9184896 What is the least common multiple of 24 and 59565312? 59565312 Calculate the common denominator of -6/18209917 and 31/4966341. 54629751 Find the common denominator of 47/121120 and -35/535956. 21438240 What is the smallest common multiple of 1589 and 8949475? 62646325 Find the common denominator of -55/103785984 and 49/5352. 103785984 Calculate the smallest common multiple of 5156 and 8664. 11167896 What is the lowest common multiple of 5 and 12301993? 61509965 What is the common denominator of -20/16893 and -115/532026? 998612802 Calculate the least common multiple of 160 and 1310560. 1310560 What is the smallest common multiple of 340 and 106636750? 213273500 Calculate the least common multiple of 2673198 and 7590. 13365990 Find the common denominator of -35/53095184 and -71/12. 159285552 What is the lowest common multiple of 80 and 3019520? 3019520 What is the smallest common multiple of 427938 and 2215? 2139690 Calculate the common denominator of -41/142716600 and 49/21060. 428149800 What is the smallest common multiple of 477 and 285165? 15113745 Calculate the common denominator of 47/1212680 and -93/2212. 95801720 What is the common denominator of 89/2 and -117/1472420? 1472420 Find the common denominator of -19/83215 and 21/7480. 665720 Find the common denominator of 10/1231149 and -4/39. 16004937 Calculate the common denominator of -44/151343985 and 11/21. 1059407895 Calculate the common denominator of -19/9279135 and 14/42271615. 380444535 Calculate the lowest common multiple of 1261156 and 286. 13872716 What is the least common multiple of 161304 and 20082348? 40164696 Calculate the lowest common multiple of 500391 and 39474. 17013294 What is the least common multiple of 10158 and 8233059? 16466118 What is the smallest common multiple of 18324 and 1683772? 15153948 Calculate the least common multiple of 1175530 and 83030. 22335070 Calculate the common denominator of -89/259494144 and 47/14784. 2854435584 Calculate the least common multiple of 7707492 and 10. 38537460 Calculate the lowest common multiple of 176785 and 11011180. 77078260 What is the smallest common multiple of 43400740 and 260404440? 260404440 What is the lowest common multiple of 1462839 and 693? 48273687 What is the least common multiple of 24 and 23433830? 281205960 Calculate the least common multiple of 5940 and 372207. 66997260 What is the smallest common multiple of 60165 and 819? 782145 Find the common denominator of 53/17508624 and 97/210384. 157577616 What is the smallest common multiple of 573722001 and 1071? 4016054007 Calculate the smallest common multiple of 1462 and 742730. 31937390 What is the common denominator of -13/7 and 46/17462593? 122238151 Calculate the lowest common multiple of 188 and 7120. 334640 What is the common denominator of -89/26 and -41/287728480? 287728480 Calculate the smallest common multiple of 158 and 926976. 73231104 What is the common denominator of 19/28883 and 32/3553? 6036547 What is the common denominator of -10/1143 and 73/1381887? 1381887 Calculate the smallest common multiple of 1136973 and 390. 147806490 Calculate the common denominator of 67/51300 and 175/139194. 20879100 Find the common denominator of 25/14878 and -89/1395436. 241410428 Calculate the least common multiple of 35 and 2663227. 13316135 Calculate the least common multiple of 3312 and 88872. 533232 Find the common denominator of 38/33 and 9/123773155. 371319465 Calculate the least common multiple of 9108 and 276012. 6348276 Find the common denominator of 20 and -27/1723471. 1723471 Calculate the lowest common multiple of 1733876 and 2167345. 8669380 What is the smallest common multiple of 6154929 and 33? 6154929 Find the common denominator of -11/1728 and 61/128160. 768960 What is the common denominator of 43/356162 and 43/385040? 14246480 Calculate the smallest common multiple of 117 and 1844847. 23983011 What is the common denominator of -57/3128356 and 131/19907720? 218984920 Calculate the smallest common multiple of 444160 and 111040. 444160 Calculate the common denominator of -95/3871296 and 167/19356480. 19356480 Calculate the common denominator of -21/194305 and -9/14028821. 70144105 Calculate the lowest common multiple of 1202175 and 657189. 49289175 What is the lowest common multiple of 5646 and 16345170? 16345170 Calculate the lowest common multiple of 81279 and 50081. 4958019 What is the least common multiple of 10740 and 943006? 5063942220 What is the common denominator of -11/960440 and 109/546? 20169240 Find the common denominator of 39/515462 and -7/7474199. 14948398 Find the common denominator of -55/754928 and -67/64. 3019712 What is the common denominator of -83/1010380 and -99/1567120? 76788880 What is the least common multiple of 126 and 10691352? 10691352 Calculate the least common multiple of 42511123 and 15339065. 1487889305 Find the common denominator of -53/54 and 163/5244426. 5244426 What is the common denominator of 137/234 and -29/13242294? 13242294 What is the common denominator of -61/67380 and -133/161712? 808560 What is the lowest common multiple of 4961817 and 6615756? 19847268 Calculate the least common multiple of 6380206 and 80660. 63802060 Calculate the common denominator of -53/19771510 and 47/15587. 257029630 Calculate the least common multiple of 1083306 and 35. 5416530 What is the least common multiple of 4144975 and 135? 111914325 Find the common denominator of -53/22280 and 5/162272. 451927520 What is the common denominator of 129/484700 and 103/50? 484700 Calculate the smallest common multiple of 56 and 13765955. 110127640 Calculate the least common multiple of 835980 and 1410. 39291060 Calculate the common denominator of -61/616106 and 91/9857696. 9857696 Calculate the common denominator of 27/1375826 and 43/7835. 6879130 Calculate the common denominator of -139/828 and 1/469206. 21583476 Calculate the smallest common multiple of 3735462 and 3735462. 3735462 What is the common denominator of -31/600 and -149/744936? 18623400 Calculate the common denominator of 2/14991 and 35/73587. 19353381 Calculate the common denominator of -83/802746 and -80/389739. 53783982 Calculate the smallest common multiple of 7371 and 50734359. 3196264617 Calculate the smallest common multiple of 36 and 8204994. 16409988 Calculate the lowest common multiple of 63 and 137851. 1240659 What is the common denominator of -79/852036 and 29/5246748
{ "pile_set_name": "DM Mathematics" }
+ 2*r - 58. Let y(f) = 31*f**2 - 3*f + 58. Let m(t) = -2*y(t) - 3*z(t). What is the first derivative of m(w) wrt w? 68*w Let f be (7 - (-33)/(-9))/(4/18). Differentiate 9*i**4 - 56 + f*i**4 + 67 wrt i. 96*i**3 Let y = 2 + 1. Suppose 4*b + 16 = 0, 2*b + 24 = 5*s + b. What is the first derivative of -5 - j**3 - y*j**3 + s + 5 wrt j? -12*j**2 Let i be 1/(5 - 4)*2. Find the third derivative of 4*o**5 - i*o**2 + 5*o**2 + 12*o**5 wrt o. 960*o**2 Let l(d) = 2*d**4 + 3*d**3 + d**2 - d + 1. Let r(u) = -7*u**4 + 6*u**3 - 4*u + 4. Let z(o) = -2*l(o) + r(o). What is the second derivative of z(i) wrt i? -132*i**2 - 4 What is the first derivative of 59*q - 87 - 572 + 100*q + 120*q wrt q? 279 Let m be 108/(-21) + 2/14. Let b be 4/6*(-30)/m. Find the third derivative of 0*t**4 - 2*t**4 - t**2 + 0*t**b + 4*t**4 wrt t. 48*t Let b(u) = 336*u**3 - 4*u**2 + 186. Let n(o) = -1007*o**3 + 11*o**2 - 556. Let y(i) = -22*b(i) - 8*n(i). Find the first derivative of y(h) wrt h. 1992*h**2 Let j(c) be the third derivative of 25*c**8/84 + 5*c**4/6 + c**2 - 30. What is the second derivative of j(v) wrt v? 2000*v**3 Suppose -26 = -7*y + 30. Differentiate -3*v + y*v + 2 + 24*v + 12*v with respect to v. 41 Let y(z) be the third derivative of -7*z**6/15 + z**5/60 - z**3 + 18*z**2. Find the third derivative of y(x) wrt x. -336 Let h be 1*0*2/4. Let q = h - 0. What is the second derivative of 0*v - v + q*v - 5*v**4 wrt v? -60*v**2 Let d be (11/3)/(5/15). Suppose -4*k = 5*m - 2, -k - 2*m = -6*m - d. Differentiate -q**k - 3*q**3 - q**3 + 6 - 4 with respect to q. -15*q**2 Suppose 0*i = -2*z + 2*i + 4, 0 = -2*z - 2*i + 4. What is the third derivative of 5*g**z + 273*g + 11*g**3 - 273*g wrt g? 66 Suppose -2*x + r = -40 + 14, 4*x + r = 46. Suppose q - x = -3*q. Find the third derivative of 3*h**2 - 5*h**q - 6*h**2 + 7*h**3 wrt h. 12 Let i be 93/18 + 10/(-60). Let l(s) be the third derivative of 1/60*s**i - 1/4*s**4 + 3*s**2 + 0*s + 0 + 0*s**3. What is the second derivative of l(k) wrt k? 2 Let c(k) = -11*k**2 - 3*k - 7. Let x(f) = 12*f**2 + 2*f + 6. Let s(o) = 3*c(o) + 4*x(o). What is the second derivative of s(a) wrt a? 30 Let i be (-16)/(-2) - (15 - 13). What is the second derivative of 10*s - s**3 + i*s**3 - 16*s**3 wrt s? -66*s Let d(i) = 109*i**2 - 3*i + 113. Let p(x) = -217*x**2 + 7*x - 226. Let l(z) = 5*d(z) + 2*p(z). What is the derivative of l(a) wrt a? 222*a - 1 Let y(p) be the first derivative of 453*p**4/4 - p**3 + 82*p**2 + 287. Find the third derivative of y(l) wrt l. 2718 Let h(j) = j + 27. Let w be h(-22). Find the third derivative of 5*v**w - 2*v**5 - 2*v**2 - 4*v**2 - 3*v**2 wrt v. 180*v**2 Let r(b) = -b**2 - 10*b - 7. Let k be r(-9). Let z be ((-20)/25)/(k/(-25)). Differentiate -z*o**3 - 61 + o**3 + 67 with respect to o. -27*o**2 What is the second derivative of 344*z**3 + 667*z - 17*z - 171*z wrt z? 2064*z Suppose 3*l - 12 = 27. Suppose -5*o = 4*a, -a + 3*o - l = -6*a. What is the second derivative of -5*r**5 - 11*r + 4*r - r**a wrt r? -120*r**3 Let t(f) = -148*f - 96. Let p(h) = -149*h - 97. Let j(g) = 3*p(g) - 2*t(g). Differentiate j(x) wrt x. -151 What is the first derivative of -142*c**4 + c**3 - 180 + 415*c**4 - c - c**3 - 119 wrt c? 1092*c**3 - 1 Find the third derivative of -44*m**2 + 493*m**3 - 16071 - 16065 + 32136 wrt m. 2958 Let k be (-6)/3 + 8 + -3. Find the second derivative of 5*j + 8*j + k*j**4 + 2*j**4 - 3*j wrt j. 60*j**2 Let d = 23 + -20. Find the third derivative of -26*h**d - 17*h**2 + 0*h**2 + 4*h**2 - 14*h**2 wrt h. -156 What is the third derivative of -315 - 208 + 7*w**4 - 4*w**2 - 2*w**3 + 7*w**4 + 0*w**2 + 425 wrt w? 336*w - 12 Let v(h) = 150*h**3 + 21*h**2 + 4*h + 2. Let c(y) = 150*y**3 + 25*y**2 + 5*y + 1. Let o(z) = -4*c(z) + 5*v(z). Find the third derivative of o(j) wrt j. 900 Let q(p) be the second derivative of -237*p**5/20 - 457*p**4/12 - 4*p + 3. What is the third derivative of q(f) wrt f? -1422 Let z(y) be the first derivative of -13*y**7/210 - y**5/10 + 6*y**2 + 10. Let b(v) be the second derivative of z(v). Find the third derivative of b(d) wrt d. -312*d Let u(h) = 3*h**3 + h**2 + 37*h - 7. Let w(n) = n**3 + n**2 + 37*n - 6. Let m(k) = -6*u(k) + 7*w(k). Find the second derivative of m(x) wrt x. -66*x + 2 What is the third derivative of -71*x + 68*x**3 - 3*x**2 - 1 + 0 + 1 + 92*x wrt x? 408 Find the third derivative of -22*v**4 - 37*v**4 + 73*v**2 - 4*v**2 wrt v. -1416*v Differentiate -37*n - 161 + 3*n**2 - 4*n**2 - 129 + 41 - 2*n**2 with respect to n. -6*n - 37 What is the second derivative of -13*f**2 - 4*f**4 - 4*f**4 + 27*f**2 - 17*f**2 - 62*f + 4*f**4 wrt f? -48*f**2 - 6 Let p(s) be the third derivative of s**8/168 - 59*s**6/60 + s**4/24 - 65*s**3/6 - 4*s**2 + 3*s. What is the second derivative of p(w) wrt w? 40*w**3 - 708*w Let y(i) = 7*i**3 - 2*i**2 - i + 2. Let z be y(1). What is the second derivative of 6*j + 21*j**4 + z*j**4 - 9*j + 6*j wrt j? 324*j**2 Let j(f) be the first derivative of 28/5*f**5 + 0*f**3 + 0*f**2 + 0*f**4 - 19 - 7*f. Find the first derivative of j(z) wrt z. 112*z**3 Find the first derivative of -135*x - 84*x**3 - 145 + 135*x - 19*x**3 wrt x. -309*x**2 Let v(m) = -21*m + 36. Let z(k) = -19*k + 37. Let n(h) = 4*v(h) - 3*z(h). What is the first derivative of n(q) wrt q? -27 Let r(n) = 2*n. Let g be r(-6). Let q be (-11 - g)/((-1)/(-82)). What is the third derivative of q*v**4 + 3*v**2 - 7*v**5 - 82*v**4 wrt v? -420*v**2 Let n(c) = -9*c**2 + 37*c + 6. Let d(u) = -u**3 - 17*u**2 + 74*u + 10. Let i(j) = 3*d(j) - 5*n(j). Find the second derivative of i(a) wrt a. -18*a - 12 Suppose 0*b = 3*b - 12. Suppose 6*s - 24 = -0*s. What is the third derivative of -10*t**4 + 12*t**b + 5*t**2 - 10*t**s wrt t? -192*t Let z(b) = 5*b. Let a(p) = -63*p + 345. Let g(r) = -a(r) + 5*z(r). What is the derivative of g(x) wrt x? 88 Let d(r) = r**4 + r**3 + r**2 - 2*r - 1. Let n(m) = 780*m**4 - 6*m**3 - 6*m**2 + 12*m + 441. Let k(q) = 6*d(q) + n(q). What is the derivative of k(w) wrt w? 3144*w**3 Let f(a) be the third derivative of 14*a**6/3 + 76*a**5/15 + 960*a**2 - 2*a. Find the third derivative of f(r) wrt r. 3360 Differentiate 14295 - 13778 + 2*t**2 - 5*t**2 wrt t. -6*t Let h = 84 + -79. Suppose 3*n + 6 = -0*n - 3*r, -5 = r. Find the third derivative of -2*i**2 + n*i**h + 113 - 113 wrt i. 180*i**2 Let o(j) be the first derivative of 51 + 0*j**3 + 1/2*j**4 - 35/2*j**2 + 31*j. Differentiate o(z) with respect to z. 6*z**2 - 35 Let l(a) = a**4 - a**3 - 2*a**2 + a + 1. Let z(b) = 9*b**4 - 21*b**3 - 15*b**2 + 29*b + 4. Let w(o) = -4*l(o) + z(o). Find the third derivative of w(c) wrt c. 120*c - 102 Let k(v) = -36*v**2 + 1. Suppose -4*g - 2*t = 32, -t = -g + 3 - 5. Let l(s) = -s**2 - 1. Let h(q) = g*l(q) + k(q). What is the derivative of h(r) wrt r? -60*r Suppose 0 = 5*s - 342 + 42. Find the first derivative of -49 + 81*h + 29*h - s*h wrt h. 50 Let p be -4 + 137/(3 - 2). What is the second derivative of p*y + 7*y**3 + 4*y**3 - 150*y wrt y? 66*y Let a(i) be the first derivative of 359*i**4/4 + i**3 + i + 130. Find the third derivative of a(y) wrt y. 2154 Let y(z) = 955*z + 512. Let a(l) = 1908*l + 1023. Let v(g) = -8*a(g) + 15*y(g). What is the first derivative of v(j) wrt j? -939 Let u be ((-1)/3)/((-3)/27). Find the second derivative of 0*f**u + 539*f + 0*f**3 + 29*f**4 - 522*f wrt f. 348*f**2 Let h(v) be the first derivative of -v**5/15 - 2*v**3 + 15*v**2/2 + 4. Let i(b) be the second derivative of h(b). Differentiate i(l) wrt l. -8*l Let h be 2 - -1 - (-756)/(-336). Let n(r) be the first derivative of 0*r**2 + 0*r + h*r**4 - 4 + 10/3*r**3. Find the third derivative of n(i) wrt i. 18 Let o(h) = -46*h**4 + 169*h**2 + 2*h. Let s(b) = -230*b**4 + 846*b**2 + 11*b. Let m(d) = -11*o(d) + 2*s(d). Find the third derivative of m(z) wrt z. 1104*z Let p(t) be the third derivative of 53*t**7/210 - t**6/120 + t**5/60 + 59*t**4/12 + 220*t**2. What is the third derivative of p(g) wrt g? 1272*g - 6 Let f(k) be the first derivative of k**3/3 - 4*k**2 - 3*k + 4. Let s be f(9). What is the third derivative of s*l**5 + l - 2*l**2 - 5*l + 4*l wrt l? 360*l**2 Let n(g) = 28*g**3 - 4*g**2 + 41*g + 8. Let m(x) = -55*x**3 + 7*x**2 - 83*x - 14. Let r(b) = 4*m(b) + 7*n(b). What is the second derivative of r(u) wrt u? -144*u Let m(i) = -i**3 - 11*i**2 + 10*i -
{ "pile_set_name": "DM Mathematics" }
+ x + 29*c + 2 + 1 wrt c. 29 Suppose -7 = 2*o - 3*d, 3*o + 3*d = o + 23. Differentiate -5 + o + 8*x - 10 wrt x. 8 Let n(y) be the second derivative of y**7/21 + y**6/30 - 5*y**3/6 - y**2/2 - 25*y. What is the second derivative of n(o) wrt o? 40*o**3 + 12*o**2 Let i = 109 - 78. Differentiate -32 + 29*z**3 - 9*z**2 + i + 9*z**2 with respect to z. 87*z**2 Let k(w) be the second derivative of 61*w**7/42 + 3*w**5/20 - w**4/6 - 118*w**3/3 - 3*w - 13. What is the third derivative of k(s) wrt s? 3660*s**2 + 18 Suppose -4*m + 19 = 5*t, 6*t + 3*m - 12 = 3*t. What is the second derivative of 20*q**5 + t*q**3 + 16*q - 3*q**3 wrt q? 400*q**3 What is the second derivative of -36*n**5 - 103 + 207 - 106 - 6*n wrt n? -720*n**3 Let l(k) = k**3 + 30*k**2 + 31*k + 62. Let d be l(-29). Find the second derivative of -8*p**4 + 40*p**d + 240*p - 212*p wrt p. 384*p**2 Let g(i) be the third derivative of -3/35*i**7 + 0*i + 0*i**6 + 0*i**3 + 5/6*i**4 + 0 + 0*i**5 + 7*i**2. Find the second derivative of g(z) wrt z. -216*z**2 What is the second derivative of 15*u**2 - 21*u**2 + 3*u - 23 + 0*u**2 + 17*u**3 wrt u? 102*u - 12 Let b(u) be the first derivative of 7*u**6/6 + u**5 - 107*u**2/2 - 138. Find the second derivative of b(k) wrt k. 140*k**3 + 60*k**2 Let y(m) = m**2 + 1. Let d(h) = -14*h**3 + 12*h**2 - 158. Let k(u) = -d(u) + 6*y(u). Find the first derivative of k(z) wrt z. 42*z**2 - 12*z Suppose 6*x - 20 = x. Suppose x*j = 7*j. What is the second derivative of -6*l**5 + j*l + 9*l**5 - 7*l wrt l? 60*l**3 Find the third derivative of -10*h - 49*h**2 - 15870*h**3 + 15497*h**3 + 41*h**2 wrt h. -2238 Let l(c) be the second derivative of 67*c**5/10 + c**4/12 + 13*c**2/2 - 18*c. Differentiate l(b) with respect to b. 402*b**2 + 2*b Find the third derivative of -108*y**2 - 2*y**3 + 29*y**3 + 217*y**2 wrt y. 162 Suppose 2*t - 6*t = 0. Suppose -p = 3*w - t*p - 7, -3*p + 9 = 3*w. Find the third derivative of -4*n**6 + 13*n**6 - 3*n**w - 5*n**6 wrt n. 480*n**3 Let l(r) = 2*r + 1. Let i = 18 - 18. Let u be l(i). Differentiate -4*c - 2 - 7*c + 2 + u with respect to c. -11 Let z(w) = -16*w**3 + 12*w**2 - 2. Let l(g) = -g**3 + g**2 + 1. Let h(o) = o - 5. Let a be h(-7). Let b(v) = a*l(v) + z(v). Differentiate b(n) wrt n. -12*n**2 Let s(f) = 34*f - 136. Let o be s(4). Let h(c) be the first derivative of o*c**2 + 0*c + 2/3*c**3 + 3/4*c**4 + 6. Find the third derivative of h(x) wrt x. 18 Let v(p) be the first derivative of 3*p**5/5 + 4*p**4 - 59*p**3/3 + 69. What is the third derivative of v(y) wrt y? 72*y + 96 Let j(z) = z**2 - z + 1. Let f be j(3). Let n be (-5896)/(-104) + (-28)/(-91). What is the second derivative of -f*r + 57 + 5*r**4 - n wrt r? 60*r**2 Let h(t) = 2*t**2 - 2*t + 2. Let o be h(1). Find the third derivative of 38*x**5 + 33*x**o - 28*x**5 - 37*x**5 wrt x. -1620*x**2 Suppose -b + 6 = b. Find the second derivative of -c**3 + 6*c**b - 16*c + 4*c**3 wrt c. 54*c Let t(s) = -2*s**4 + s**3 - s**2. Let f(v) = 12*v**4 - 53*v**3 + 5*v**2 + 52*v. Let h(b) = f(b) + 5*t(b). Find the second derivative of h(i) wrt i. 24*i**2 - 288*i Let c(f) be the third derivative of 0*f**7 + 0*f - 1/4*f**5 + 0*f**6 + 0*f**4 + 1/21*f**8 + 0 + 7*f**2 + 0*f**3. Find the third derivative of c(h) wrt h. 960*h**2 Let c be -3 - ((0 - -1) + 1). Let v be (-18)/(-8) - c/(-20). Differentiate 6 - w**2 - 4*w**2 + 4*w**2 + v*w**2 with respect to w. 2*w Let t(a) = -31*a**2 + 192*a - 20. Let w(b) = b**2 - 2*b + 5. Let k(i) = t(i) + 4*w(i). What is the second derivative of k(q) wrt q? -54 Let w(f) be the second derivative of -7/12*f**4 + 0*f**5 + 0*f**2 + 0*f**3 + 32*f + 0*f**6 + 0 - 16/21*f**7. Find the third derivative of w(c) wrt c. -1920*c**2 Let s = -45 + 48. What is the second derivative of 7*i**3 - 5*i**s + i + 10*i wrt i? 12*i Let s(m) = 22*m + 3. Let f(v) = 19*v - 4. Let h(x) = -20*x + 2. Let n(t) = -2*f(t) - 3*h(t). Let l(i) = -5*n(i) + 4*s(i). Differentiate l(c) with respect to c. -22 Let o(l) = -2*l - 6. Let j be o(-5). Suppose -5*r = j*m - 2 + 4, 2*r = m + 7. Find the second derivative of -u**r - 2*u - 5*u**2 + 7*u**2 wrt u. 2 Differentiate 0*q - 63 + 15 + 10*q**4 + 2*q with respect to q. 40*q**3 + 2 Let x(g) be the second derivative of 2*g**4/3 - 4*g**3/3 - 191*g**2/2 + 17*g - 3. Find the first derivative of x(v) wrt v. 16*v - 8 Differentiate -19 - 41*w**2 + 129*w**2 - 42*w**2 - 31*w**2 with respect to w. 30*w Let z(u) = -10*u - 39. Let s be z(-6). Differentiate -s - 27 - 17*x + 49 with respect to x. -17 Let k(b) = 4*b**2 - 4*b + 9. Let i(y) = -5*y**2 + 3*y - 10. Suppose -m = -7*m - 18. Let l(s) = m*k(s) - 4*i(s). Find the first derivative of l(u) wrt u. 16*u Let d(z) = 6*z**4 + 8*z**3 - 335*z**2 - 6. Let v(n) = -6*n**4 - 9*n**3 + 333*n**2 + 5. Let a(x) = 5*d(x) + 6*v(x). What is the third derivative of a(k) wrt k? -144*k - 84 What is the second derivative of -3*l**3 - 10*l**5 + 425*l + 46*l**5 + 127*l - 11*l**3 + 17*l**3 wrt l? 720*l**3 + 18*l Find the third derivative of u**6 + 28*u**4 + 62*u**2 + 267*u**2 - 106*u**4 - 68*u**2 wrt u. 120*u**3 - 1872*u Suppose 3*l = 5*l. Suppose -5*r + 28 = -4*v + 8*v, l = 2*v - 5*r + 16. Find the third derivative of -3*m**5 + 3*m**5 + 55*m**v + 12*m**6 - 63*m**2 wrt m. 1440*m**3 Let s(u) = -4*u - 40. Suppose 0 = -9*d + 7*d. Let f be d*2/6 - 2. Let l(q) = q + 8. Let a(i) = f*s(i) - 11*l(i). What is the derivative of a(w) wrt w? -3 Differentiate -262 + 2475*g - 2475*g - 94*g**4 wrt g. -376*g**3 Suppose -24 = -5*w + 86. What is the third derivative of h**4 + 24*h**2 - 3*h**3 - w*h**2 + 3*h**3 wrt h? 24*h Let v(z) be the first derivative of -5 + 0*z**3 - 7/4*z**4 + 0*z + 9/2*z**2. Find the second derivative of v(b) wrt b. -42*b Find the second derivative of 4*x**5 - 4*x**2 + 7*x**5 - 19758*x + 19728*x - 2 wrt x. 220*x**3 - 8 Let f(r) = 236*r + 40. Let l(z) = 157*z + 26. Let g(m) = -5*f(m) + 7*l(m). What is the derivative of g(q) wrt q? -81 Let l(q) be the first derivative of -94*q**3/3 - 47*q**2 + 42. What is the second derivative of l(c) wrt c? -188 What is the third derivative of -98373*g + 1 + 98373*g - 310*g**2 + 554*g**6 wrt g? 66480*g**3 Let x be (-20)/(-6) - 2/(-3). What is the third derivative of -4*n**2 + 8 - 8 + x*n**3 - 6*n**2 wrt n? 24 Let d(k) be the first derivative of k**3/3 + k + 15. Let q(j) = 3*j**2 + 2. Let x(t) = 5*d(t) - 2*q(t). Find the first derivative of x(h) wrt h. -2*h Let j be (-3)/12 + 177/4. Let k be 11/j + (-11)/(-4). Find the second derivative of k*g**5 - g - 72 + 72 wrt g. 60*g**3 Find the third derivative of -113*d**5 + 4*d**2 + 66*d**5 - 22*d + 78*d**5 + 48*d**5 wrt d. 4740*d**2 What is the second derivative of 731*z - 56*z**2 + 681840 - 681840 wrt z? -112 Suppose 0 = -5*v + 4*h + 141, 2*h + 32 = 2*v - 26. Find the first derivative of -v*z**3 + 35*z**4 + 9*z**3 - 17 + 16*z**3 wrt z. 140*z**3 Let d(h) be the second derivative of 199*h**6/10 + 255*h**4/4 - 198*h + 1. What is the third derivative of d(v) wrt v? 14328*v Let q(u) = -u + 4. Let b be q(1). What is the first derivative of 4 - b + 8 + 11*i**3 wrt i? 33*i**2 Find the third derivative of -59*f**2 + 185*f**4 - 75*f**2 + 45*f**2 - 83*f**2 wrt f. 4440*f Let w(i) be the third derivative of -i**8/7 - 11*i**5/60 + 3*i**2 + 16*i. Find the third derivative of w(s) wrt s. -2880*s**2 Let f = 41 + -31. Find the third derivative of 8*c**3 + f*c**2 + 11*c**3 - 16*c**3 wrt c. 18 Find the third derivative of -3*y**2 + 19*y**3 - 6*y**2 - 21436 + 21437 wrt y. 114 Let f(o) = -o**2 - 6*o - 3. Let g be f(-2). What is the third derivative of -66*d**5 + d**2 + 56*d**g - 4*d**2 wrt d? -600*d**2 Let i(k) = 2*k**3 - 2. Let p(b) = 241*b**3 + 134*b**2 - 10. Let c(o) = 15*i(o) - 3*p(o). Find the third derivative of c(t) wrt t. -4158 Let k(c) = 11. Let g(w) = -w - 22. Let m be (1 - (-105)/(-14)) + 1/2. Let u(b) = m*g(b) - 14*k(b). What is the derivative of u(x) wrt x? 6 Let q(k) be the first derivative of 17 + 4*k**4 + 0*k + 0*k**2 - 11/3*k**3. Find the third derivative of q(i) wrt i. 96 Let l(v) = -2*v - 2. Let s be l(-2). Suppose -8 = -3*q - s. What is the derivative of 3 + q*d**2 + d**2 + d**2 wrt d? 8*d Differentiate -12251*z**2 + 12251*z**2 - 30*z + 3*z**4 + 197 with respect to z. 12*z**3 - 30 Suppose -3*q + 5*z = -5 + 22, z = 4*q. Let x be 67 - 0/(-2 + q). What is the third derivative of -x*i**2 -
{ "pile_set_name": "DM Mathematics" }
+ -0.21. Let m = 91 + -95.7. Let d = x - m. Which is the third biggest value? (a) d (b) 3 (c) -0.1 c Let t = -806 - -805. Let i = 15/4 - 4. What is the third smallest value in -0.2, t, i? -0.2 Let n be ((-420)/9)/1 - -1. Let s = 46 + n. Suppose 0 = 3*p - 13 + 4. Which is the third biggest value? (a) s (b) 2 (c) p a Let x = 144 + -144. Which is the second biggest value? (a) -8/3 (b) -0.5 (c) x (d) -2 b Let u = 12 + -13.2. Let g = u + 1. Let w = 0.4 + g. Which is the third smallest value? (a) 0.4 (b) 0.5 (c) w b Let s = -14 - -10. What is the biggest value in 2/5, 3, s? 3 Let f be (-6)/4*(-20)/(-21) - -1. What is the second biggest value in 5, f, 2/3? 2/3 Let k = -49 - 13. What is the second biggest value in k, -4, 0.1? -4 Let t = 5 - 5.1. Which is the smallest value? (a) t (b) -5 (c) -4 b Let l = -30 - -30.5. Which is the biggest value? (a) l (b) -3/4 (c) -3 (d) 1 d Let t = -3 + 1.8. Let g = t + 1.1. What is the smallest value in g, 4, 0? g Let f be (-6 - -4) + (-2002)/(-18). Let p = f - 109. Which is the smallest value? (a) 5 (b) p (c) -1/9 c Let k be (12/15)/((-5)/((-75)/6)). Which is the smallest value? (a) 9 (b) -5 (c) k b Let j = -1.3 + -6.1. Let l = j + 8. What is the biggest value in 0.4, l, -1/5? l Let i = -0.6 + 1.1. Let n be 3/6 + 1/(-4). Which is the third biggest value? (a) n (b) i (c) -5 c Let l be ((-12)/10 - -1)*-92. Let k = l - 19. What is the third biggest value in k, 2/11, -2? -2 Suppose 4*w - 40 = 5*d, 4*d - 30 = -3*w + 3*d. Suppose -3*i - w = -i. Which is the third smallest value? (a) -1/3 (b) -2/7 (c) i b Let p = -32.2 + 32. Which is the smallest value? (a) 6 (b) 1 (c) p c Let k = -0.1 - 0. Let g = -8 + 8.1. Which is the second smallest value? (a) g (b) 0.3 (c) k a Let f = -0.18 + -9.82. Let q = f + 13. What is the biggest value in 2, q, 1/3? q Let u = 15 + -18. Which is the smallest value? (a) 2 (b) u (c) -1/10 b Let c = -3.6 - -4. Let b = 1.1 - -2.9. Let z = 261 - 266. What is the third biggest value in c, b, z? z Let k = 0.2 - 0. Let f = 16.6 - 17. Which is the smallest value? (a) k (b) 1/6 (c) f c Let d(q) = -q**2 - 3*q + 6. Let u be d(-5). Let y = 0.4 - 0.6. Which is the third smallest value? (a) 0 (b) u (c) y a Let f = 3 + 1. Let v be (f/50 + 0)*5. Let h = -2/7 - -3/35. What is the second biggest value in v, h, -3? h Let y = -0.054 - -5.054. Which is the third biggest value? (a) y (b) -3 (c) -5 c Let i = 128 + -39. Let x be 1 + 1/(-91)*i. Let m = x + -97/273. Which is the second smallest value? (a) 2 (b) 5 (c) m a Let b = -703087/40 - -17576. Let y = 3/40 - b. Let g = -36 + 33. What is the second biggest value in -1/8, g, y? -1/8 Let d = 18 - 23. What is the third smallest value in 5, 1, d? 5 Let x = -14/15 - -11/10. Let i be 12/54 + 1/(-108). Let l = -1/27 - i. Which is the second biggest value? (a) x (b) l (c) 2/3 a Let b = -7.2 - -0.2. What is the biggest value in b, -1/7, -0.3? -1/7 Suppose 4 + 2 = 2*l. Let n be (6 - l)*4/20. Let a = -223/18 - -73/6. What is the smallest value in 4, n, a? a Let r = -453.94 + 458. Let m = 0.06 - r. What is the third biggest value in 3, -0.3, m? m Let y = -12/7 + 31/14. What is the biggest value in 3, y, -2/5? 3 Let m(p) = 0*p**2 + 4*p**2 - 2 - 4*p + p**2 - p**2 + p**3. Let j be m(4). Let r be (5/j)/((-1)/4). What is the second smallest value in 3, r, 2/11? 2/11 Let c = 10 - 10.4. What is the biggest value in -2, c, 1/9? 1/9 Let l = -14 + 14.08. Let z = -6.08 + l. What is the third smallest value in z, 2/3, 4? 4 Let z = -0.029 - -1.079. Let r = -0.05 + z. Let x = r + 4. Which is the third smallest value? (a) -5 (b) -1/3 (c) x c Let i = 3.28 - 0.28. What is the second smallest value in 21, i, -3? i Let y = -7 - -6.95. Let w = -7 + 4. Which is the second smallest value? (a) y (b) 2/13 (c) w a Suppose -f + 1 = 2*b + 3, 0 = 2*b - 3*f - 14. Let z be (-4)/6 + 8/(-6). Let p = -5 - z. What is the third smallest value in b, p, -4? b Let y = 6/19 - 69/38. Let g = 10.1 + -14.1. Which is the biggest value? (a) g (b) 0 (c) y b Let l = 19 - 12. Let h = -7 + l. What is the second biggest value in 1/6, h, -2/3? h Suppose 4*i = -4*k + 36, -4*i + k + 28 = -3*k. What is the third smallest value in i, -2/3, -0.5? i Let s = -25 + 25.5. What is the third biggest value in -1/8, s, 1? -1/8 Let k = 0.311 - 0.011. Which is the third biggest value? (a) k (b) -0.2 (c) -1.4 c Let q(w) = -w**2 + 3*w + 3. Suppose -9 = p - 4*p. Let d be q(p). Which is the second smallest value? (a) 4 (b) d (c) 0 b Let h = -9 + 8.9. Let o = -2.9 + h. Which is the third smallest value? (a) o (b) 5 (c) -5 b Let c(s) = -s**2 + 8*s + 8. Let p be c(9). What is the second biggest value in 0.5, 0.3, p? 0.3 Let b = 7 - 5. Let l = 0.2 + -0.1. Let d = -10.7 - -11. What is the third smallest value in d, l, b? b Let w = 11 - 10.5. Let i = -2 - 1. Which is the second biggest value? (a) i (b) -2 (c) w b Let c = 2.4 + -0.4. What is the smallest value in -4, 3, c? -4 Let m(o) = o**3 - 5*o**2 + 4*o + 4. Let q be m(4). Suppose -3*y + 1 = -q*y. Suppose s = 3*s - 10. Which is the smallest value? (a) 0 (b) y (c) s b Let i be (3 - 6) + 90/35. Which is the fourth smallest value? (a) 1 (b) -9 (c) -1/2 (d) i a Let o = -152 + 159.3. Let w = -5 + 12. Let q = w - o. What is the third smallest value in -2/3, 0.4, q? 0.4 Let o = 5/9 - 8/9. Which is the second biggest value? (a) -1 (b) o (c) 1 b Let j = -12.2 - -13. Let d = 4.2 + j. Which is the second biggest value? (a) 4 (b) -4 (c) d a Let f be (-1)/3 - 13/(-3). Let v be f/6 - 21/18. Let p = 0.11 + -5.11. Which is the third biggest value? (a) p (b) 2 (c) v a Let m = -0.03 + -0.17. Let i = m + -0.3. Let x = 1 - -4. Which is the third smallest value? (a) i (b) -5 (c) x c Let f be 3/6 + 1/(-2). Suppose f = y + 2*y + 3. Let q be 4/(-6)*y/(-2). What is the third smallest value in q, 2, 0.4? 2 Let p = -9.97 + -0.03. Let v = -9.9 - p. Let r = -4.9 - v. Which is the biggest value? (a) 0.2 (b) r (c) 3 c Let p = 2.5 - 0.5. Let l = 3 - p. Let i = 0.9 - l. Which is the third smallest value? (a) i (b) -1/4 (c) -2/3 a Let g = -0.16 + 0.2. Let w = 4.04 - g. Let q = 0.55 + -0.05. What is the biggest value in q, w, 2/7? w Let a be (4 - 0) + 3/(-3). Suppose -2*s = -d + 13, -a*s - 6*d + 8 = -2*d. Let w = 0.4 - 0.2. What is the third biggest value in s, 0.5, w? s Let i = -5 + 5.1. Let y = 0.2 - i. Let k = y + -2.1. What is the smallest value in 2, -4, k? -4 Let z = -16/5 - -18/5. What is the biggest value in -3, -0.1, z? z Let i be 322996/(-120) - 4/6. Let n = -2696 - i. Let v = n + 427/110. Which is the second smallest value? (a) 2/3 (b) v (c) -3 b Let w = -57 - -62. What is the second smallest value in -1/4, 0.2, w, -0.2? -0.2 Suppose 6*s - 5*s = 0. What is the third smallest value in 5/7, 1/3, s? 5/7 Let t = 0.3 - 0.4. Let y = 2 + 1. Let h = y - 2.9. Which is the biggest value? (a) h (b) -4 (c) t a Let j = 0.03 - -0.17. Which is the smallest value? (a) -4 (b) 2/13 (c) j a Let w = -0.54 + -4.46. Which is the smallest value? (a) 0.9 (b) 1 (c) w c Let w = -11 + 13. Let u = -0.2 - 4.8. What is the third biggest value in -0.4, u, w? u Let i = -7.3 + 7. Let d = -19 - -18.6. What is the second smallest value in i, -0.2, d? i Let i = -5.2 - -4.8. Which is the fourth biggest value? (a) -0.3 (b) i (c) 0.3 (d) -3/5 d Let n = 0.7 - 0.2. Let f = -1.46 - -0.06. Let x = 1.2 + f. What is the third smallest value in x, -3, n? n Let n be 2 - (-1695)/(-1776)*2. Let x = n - 8/37. Let r be 1/5 - 52/10. What is the biggest value in r, x, 0.5? 0.5 Let d = -0.37 + 0.34. What is the smallest value in d, -2, 1? -2 Let r = -11.1 - -12. Let c = r - 5.9. What is the second biggest value in -0.5, c, 3/2? -0.5 Let o be 2/3 + 51322/(-48840). Let v = -8/185 - o. Let c = -3/88 - v. What is the third biggest value in 4/7, c, 1? c Let j be 4 + (1 - 3 - 0). Let m be 0/j + 5/(-3). Which is the second biggest value? (a) 0.3 (b) 6/7 (c) m a Let w be (2 + (-7)/2)/(14/28). Which is the fourth biggest value? (a) 3/8 (b) 2 (c) w (d) -4 d Let n = 1.03 + -0.03. What is the third smallest value in -3, n, 4? 4 Let g = -135 - -134.7. Which is the third smallest value? (a) 1/3 (b) -2/5 (c) -0.03 (d) g c Let g = 0.03 + -0.13. Suppose 0 = 5*v - 5
{ "pile_set_name": "DM Mathematics" }
+ 2 + 2 - 82 - (2 - (-9 - 5)). -95 What is the value of 23 + -13 + (-1 - 6) + -12 + (30 - -1)? 22 -1 - (4 + 27 + (-10 - 21)) -1 (-23834 - -23837) + (0 + 0 - 67) -64 Calculate 44 + -20 - (-36 + 38). 22 Calculate (11 - -125 - 135) + (60 + 3 - -3). 67 Evaluate 37 + 18 + -55 + 43. 43 What is 173 + -106 + -117 - 5? -55 What is the value of -8 + 0 - (110 - 18 - 50)? -50 -40 + -13 + (18 - -45) 10 Evaluate 4 + 88 + (135 - -5) + -166. 66 What is (-4 - (-14 + 25)) + (-6 + 29 - 5)? 3 What is (37 + -62 - (-36 - 0)) + -37 + -3? -29 Evaluate -101 + ((3 - 16) + 58 - 11). -67 Calculate -32 + (-1 + 4 - (-82 - (-58 - 6))). -11 What is -15 + 13 + 1 + -1 - 81 - -1? -82 22 - 52 - -22 - (-31 + 11) 12 What is the value of 193 + -148 + (24 - -2) - 7? 64 What is the value of 5 + (-44 - -67) + -48? -20 What is -3 + (2 - (2 + 7)) + -5 + 35 + -86? -66 Evaluate 0 + -15 + ((-39 - -29) + -26 - 6). -57 What is 13 + (0 - (12 + -2 + -7)) + -7? 3 Calculate 115 - ((62 - (47 + -38)) + -44). 106 What is the value of -20 + (23 - 32 - -44) + -84? -69 What is the value of (61 + (3 - 2) - 1) + -1 + 6167 + -6174? 53 What is (-3 - -1 - 35) + (56453 - 56352)? 64 Calculate -79 - (-11 + -119) - 98. -47 Calculate (-4 - -22) + -5 + -48 + 34 + -3. -4 What is the value of 99 + (-410 - -337) + 5 + 38? 69 What is the value of 107 + (93 - (-56 - -240))? 16 What is 29 + -8 + (-64 - -20)? -23 What is 1 + -1 + (-2 - 0) - (38 + 18 - 32)? -26 What is the value of -16 - (-410 + 395 + 1 + 30)? -32 What is the value of 13 - (7 + (13 + -10 - 42) - 6)? 51 (-1 - -1) + 0 - (-37 - 46 - -81) 2 What is 201 - 126 - (104 - 9)? -20 (53 + -117 - -70) + -2 4 Evaluate -20 - (-136 + (-69 - -62)). 123 What is (0 + 6 - 14) + (78 - (5 - 9))? 74 Evaluate -22 - (48 - (20 + 8)) - 11. -53 Calculate (-14 + 23 - 56 - 5) + 18. -34 Evaluate -4 - (-4 - 3) - ((12 - 0) + (-164 - -163)). -8 Evaluate 5 + -10 + 1201 + -1049 + 1 + -19. 129 What is 38 + -1 + -116 + 48? -31 What is (80 - (166 + -70)) + (-2 - (2 + -22))? 2 Calculate (33 - 7) + 15 + -33. 8 Evaluate (75 - (104 + 13)) + (0 - (-5 + 3)) + -4. -44 Evaluate 18 - (-40 + (-27 + 46 - -9)). 30 (1 - 17 - (-28 - -22)) + (84 - -8) 82 What is the value of 98 + (-246 - (-190 + 84))? -42 Calculate (171 - 164) + (14 - 47). -26 -11 + -6 + 45 + -6 - -11 - -8 41 What is the value of 40 - ((-27 - -17) + (95 - -31))? -76 What is 54 + -93 + 48 + -6? 3 Calculate (28 - 8) + -46 + 94 + 0. 68 Evaluate 36 - ((17 - (-17 + 15)) + -22) - 5. 34 What is the value of (-25 - -5) + -56 + (46 - -3) + (1 - 1)? -27 What is the value of 3 + 2 + -16 + (-61 - -59) + -22 - 15? -50 What is 0 + 11 - (-27 - (-39 + 21 - -21))? 41 -5 + 10 - (3 + -7 - 7) 16 What is the value of -31 + 73 + -106 + 122? 58 Evaluate 34 - ((34 - -14) + -77). 63 What is -16 + (24 - -17) + 3 + -73? -45 63 - (1 + -81) - 5 138 Evaluate (11 - 69) + 15 + -11. -54 Calculate (-32 - 48) + 124 + 43 + 2. 89 Calculate -47 + 2988 + -2998 + 10 + -2 + (1 - 0). -48 Calculate (22 + 38 - 31) + (21 - 3). 47 Calculate (-64 - -63) + 26 + 5 + 11. 41 Evaluate 9 + 14 + 0 + -14 + -18 + 17. 8 What is the value of -130 - (-4 - (122 - 37))? -41 What is -29 - -20 - (29 + -75)? 37 0 - ((5 - 9) + -6 - (5 - 24)) -9 (40 - (28 + -6)) + -14 4 Evaluate 2 - 0 - (30 - 64 - -23 - -13). 0 Calculate 0 + 16 - (7 + (46 - 15)). -22 287 - 248 - (-5 - -35 - -1) 8 Calculate -8 + 47 - (-479 + 566). -48 Evaluate 8 + -20 + 13 + 4. 5 What is the value of 1 - ((-125 - -140) + (-2 - (0 - -7)) - 7)? 2 What is -15 + 2 - (-36 + 25 - -17) - -6? -13 Evaluate -5 - (175 + 115 + -231). -64 -4005 - -4050 - (27 + -4 + -1) 23 Evaluate -19 - (-132 - (-57 + -24)). 32 (-4 - -7) + -4 + -1811 + 1799 -13 What is -51 - (((16 - 15) + 6 - -5) + -8 + -1)? -54 What is (34 - (-22 + 4 + 12 - -29)) + -1 + -10? 0 Evaluate 333 + -363 - (-9 - -7 - (3 - (1 + 0))). -26 (12 - -55) + (5 + 4 - (1 - -1)) 74 What is the value of -36 + (-27 - (-38 + 11 + -28))? -8 Calculate (-17 - (-32 + -12) - 18) + (-2 - -1) + 10. 18 Calculate (38 - 16 - 2 - 4) + -14. 2 (-45 + 1 - -23) + (2 - 1) + 2 -18 77 + -101 + -21 + 1 -44 -61 + 2 + 29 + -8 - ((-3 - -2) + 3) -40 Calculate (-67 - -48) + -13 + -7 - -29. -10 What is -5 + 9 + -11 + (7 - (9 + -7)) + 33? 31 Calculate 0 + -4 - 0 - ((-9 - -24) + -4 - -46). -61 What is 39 + (134 - (357 + -99))? -85 What is -35 - (43 + -52 - (-2 - -1) - (51 + -50))? -26 Evaluate -132 - (-129 - -88 - 84). -7 (-4962 - -4970) + (0 + 0 - 2) + -10 -4 Calculate 83 + 28 + -54 + -29. 28 Evaluate (23 - -33) + 0 + 14. 70 What is (43 - 3) + (0 + 5 - 17 - (9 + -11))? 30 What is (-66 - 0 - -35) + 43 + 1? 13 Calculate -21 - (-39 + 18 + -28 + 0). 28 Evaluate -2 - (-53 - -34) - 59. -42 (10 - (24 - 12)) + 15 + -17 -4 What is 21 + (14 + -86 - -43) + 6? -2 Calculate -1 + -21 + (26 + (-5 - 1) - (44 - 34)). -12 What is the value of (-11 - -11) + -179 + 247? 68 What is the value of (48 + -37 - (20 + -6 + 4)) + -14? -21 What is the value of -54 - 2 - 4 - ((37 - 27) + -4)? -66 Evaluate 0 - 0 - (-79 + -14 + 110). -17 22 - (-14 + (-22 - -36)) - 30 -8 -22 - (-61 + -19 + 27 + 14) 17 What is 58 + -2 + 1 - (50 - 61 - 4)? 72 What is 5 + (5 - 3 - -2 - (-7 - 45 - 9))? 70 Calculate 32 + -29 + 10 - (1 + 6) - 52. -46 Calculate 0 - (-1 + 15 - (-118 - -68 - -106)). 42 What is 6 + 1 - (541 + -513) - -21? 0 Calculate 4 - 55 - 39 - -10. -80 Evaluate 226 + (71 - 162) - 73. 62 What is (-1 - (1 - -59)) + 33 + -19 + (-44 - -28)? -63 Calculate (1 - 3 - -1) + 0 - (-30302 + 30290) - 105. -94 What is the value of -128 - (14 + 17 - 259)? 100 What is the value of -94 + -12 + 40 + -2 + -28? -96 What is 5 + -17 + -6 + -10 + -7? -35 -191 - -136 - (-50 - -9) - (-83 + (2 - 1)) 68 Evaluate 2 - (-7 - (-21 + 6)) - (-24 + (27 - 17)). 8 (-14 - -36 - -119) + -94 47 Evaluate -2 + -5 - (7 - 10 - (8 + -1) - -18). -15 37 + (21 - (39 + 19 + -39)) 39 What is the value of -46 + (-36 - -120) + -40? -2 Evaluate (-2 - 17) + (80 - 15) + -101. -55 What is the value of -35 + 28 - (-45 - -84)? -46 What is the value of 2 + -3 + 49 - ((49 - (17 + -16)) + -38)? 38 Evaluate 8 - ((-12 - -9) + 1 + 11) - 62. -63 What is the value of 15 + 15 + -36 - 12 - (-2 - -14)? -30 Calculate -23 - 1 - (-6 + (11 - (7 - 6 - 5))). -33 What is -16479 + 16583 - (90 - 0)? 14 Calculate -8 + -21 + (-1073 - -1015). -87 What is -25 - 7 - (-2 + -9 - (14 + (20 - 34)))? -21 84 + -98 + (131 - 41) + (0 - 4) 72 Calculate 16 + -4 + 2 + -29 + (-21 - -44) - 8. 0 Calculate -3 + (18 - 33 - (-4 - (50 + -5))). 31 Calculate 0 + -38 + 2 + 0 + -8 - (-2 + 1). -43 38 + (-61 - -23) + 4 + -9 + 4 -1 Evaluate (7 - (54 + -28 + -17)) + 36. 34 What is the value of -48 + 0 + (-3 - 46 - -21)? -76 50 + -19 + 19 + (0 - 5) + 4 49 What is the value of 19 + 9 + -15 - 34 - ((0 - 2) + -4)? -15 What is -3 + 18 - (-159 + 206)? -32 Evaluate -223 + 187 + 6 + 13 + (-8 - 1). -26 Calculate -86 + (111 - 73 - 23). -71 -24 - (-31 + 29 + 17 + -17) -22 Evaluate 9 - -1 - (19 + -39). 30 What is the value of 7 + (-6 - 10) + (9 - 1) + -31 + -10? -42 Calculate 5 + 5 - (16 + -10 + -17 + 0 + 78). -57 Calculate (39 + -79 - -49) + 5 + 2 + -10 + -2. 4 What is -1 + (20 + (-13 - 0) - (-1 + -1)) + -48? -40 -25 - (-36 + -6 + 12 + -23) 28 -11 + -1 - (-5 - -2 - (-199 + 194)) -14 Evaluate (154 + -197 - (3 - 98)) + -1. 51 Evaluate -10 + (145 - 148 - (-5 - (4 + -2))) + 35. 29 What is the value of (-17 - (-52 + 19)) + -22 + 5 + -13? -14 What is the value of 168 + -188 + 59 + 3? 42 Calculate -1 + (-37 + -4 - 4) - (-234 - -229). -41 What is -6 - (-9 + 5 + 16 - (88 - 69))? 1 Evaluate 4 + 5 + (-21 - -3) + 15 - 52. -46 Calculate -7 + (9 + 1 - (2 - -14)). -13 Evaluate (4 - -6) + (-5 - 33) + (-5 - 0). -33 What is the value of (-3 - -1) + 5 - 31 - (-157 + 153)? -24 What is (5 - -5) + -10 - ((-24 - 10) + -2 + 0)? 36 What is 12874 + -12782 - (-1 - -61)? 32 1 - 6 - (-17 - (25 + -22 - 26)) -11 Evaluate -28 - (4 + (14 - 5) - (-14 - -20)). -35 Calculate (0 + -6 - -24) + 1 + -4 + (-93 - -98). 20 -2 - (-12 + 5 - (-31 + 20) - -21) -27 Calculate (11 - (0 + 6) - 8) + -49 - (-2 + -8). -42 Evaluate -8 - (21 + (-42 - -18)) - (-4 + 3 + -79). 75 Calculate 100 + (-42 + -56 - -83). 85 -60 + (69 - -18) + 0 + 39 66 24 - (29 - -37) - (23 + -2) -63 Evaluate 46 + -3 + (40 - 168) + -31. -116 Calculate (16 - 6 - (-15 + 34)) + 1 + 1 + 1. -6 What is the value of (0 - -19) + -60 + 6 + -28 + 7? -56 What is 20 - ((67
{ "pile_set_name": "DM Mathematics" }
the next term in -5123, -24294, -76325, -177644, -344679, -593858? -941609 What comes next: 18747, 73661, 165187, 293325? 458075 What is next in -2219264, -2219053, -2218842, -2218631, -2218420? -2218209 What is the next term in 732, -114, -1556, -3618, -6324, -9698, -13764? -18546 What is next in -316895724, -316895723, -316895722? -316895721 What comes next: 884696, 884691, 884684, 884675, 884664, 884651? 884636 What is next in -900, -744, -590, -432, -264? -80 What is the next term in 23396, 23635, 23874? 24113 What is the next term in 1988999, 1988996, 1988991, 1988984, 1988975, 1988964? 1988951 What is next in 14038872, 28077762, 42116652? 56155542 What is next in -148836, -148852, -148868? -148884 What comes next: 2821, 5686, 8605, 11578, 14605? 17686 What is the next term in -14146182, -28292310, -42438438, -56584566, -70730694? -84876822 What comes next: -188947, -377730, -566501, -755254, -943983, -1132682, -1321345? -1509966 What is the next term in -3201502, -6403000, -9604498, -12805996, -16007494, -19208992? -22410490 What is the next term in 457561, 458574, 459587? 460600 What is the next term in 3914, 7158, 10402, 13646, 16890? 20134 What comes next: 29545, 59031, 88499, 117943, 147357, 176735, 206071, 235359? 264593 What comes next: 8553, 8505, 8427, 8319? 8181 What is the next term in 7609, 14952, 22295, 29638, 36981? 44324 What comes next: 3120526, 3120529, 3120532, 3120535, 3120538? 3120541 What is next in 362438, 361976, 361514, 361052? 360590 What is the next term in -30438, -24056, -17670, -11280? -4886 What comes next: 232186, 464341, 696458, 928519, 1160506, 1392401, 1624186, 1855843? 2087354 What comes next: 109482893, 109482894, 109482895? 109482896 What is next in -27539, -55147, -82739, -110309, -137851, -165359, -192827, -220249? -247619 What comes next: 6432, 12739, 19048, 25359, 31672? 37987 What is the next term in 3215956, 3215947, 3215938, 3215929, 3215920, 3215911? 3215902 What is next in -1099, -1492, -2667, -5014, -8923, -14784, -22987, -33922? -47979 What is the next term in 84970742, 84970743, 84970744, 84970745, 84970746, 84970747? 84970748 What comes next: -12878, -51824, -116832, -207902, -325034? -468228 What is the next term in 3522943, 7045883, 10568823, 14091763, 17614703? 21137643 What comes next: -407365, -407362, -407359, -407356, -407353, -407350? -407347 What comes next: 65300, 128651, 192002, 255353, 318704? 382055 What comes next: -1691, -6312, -13911, -24488? -38043 What is next in 4793, -583, -16127, -41839, -77719? -123767 What is next in 16394, 32820, 49222, 65600, 81954, 98284, 114590? 130872 What is next in 9194, 27187, 53998, 89639, 134122? 187459 What is next in -5701, -22747, -51149, -90901, -141997, -204431? -278197 What comes next: 209685, 840955, 1893073, 3366039, 5259853, 7574515, 10310025? 13466383 What is the next term in -417266, -1669100, -3755484, -6676418, -10431902? -15021936 What is next in 11434, 10914, 9480, 6670, 2022? -4926 What comes next: 7359, 29576, 66641, 118554, 185315? 266924 What comes next: 17434071, 34868125, 52302179? 69736233 What is the next term in -1875, -3441, -4939, -6375, -7755, -9085? -10371 What is next in -924, -3841, -8714, -15537, -24304, -35009, -47646, -62209? -78692 What is next in 19197120, 19197122, 19197124? 19197126 What comes next: 449, 3771, 9303, 17039, 26973, 39099, 53411? 69903 What comes next: -4578, -37207, -125930, -298797, -583858, -1009163? -1602762 What is next in 51278, 102261, 153234, 204197? 255150 What comes next: -8953547, -17907150, -26860753? -35814356 What comes next: 2005203, 2005205, 2005211, 2005221, 2005235, 2005253? 2005275 What comes next: -1427, -1388, -1287, -1094, -779, -312, 337? 1198 What is the next term in 3133105, 3133108, 3133111, 3133114, 3133117, 3133120? 3133123 What is the next term in 155383, 155816, 156249? 156682 What is the next term in -12648, -50155, -112678, -200217, -312772? -450343 What is next in 4496, 10144, 15792, 21440, 27088? 32736 What is next in -45020270, -90040539, -135060808? -180081077 What is next in -1505336, -3010615, -4515892, -6021167? -7526440 What is next in -44799, -45010, -45221, -45432, -45643, -45854? -46065 What is next in 9742, 19578, 29322, 38980, 48558, 58062? 67498 What comes next: -167477581, -167477579, -167477577, -167477575, -167477573? -167477571 What is the next term in 25312490, 25312467, 25312444, 25312421, 25312398? 25312375 What is the next term in -236852, -236978, -237104, -237230, -237356? -237482 What is the next term in 12609, 25371, 38133, 50895, 63657? 76419 What is the next term in -1157744, -1157739, -1157734? -1157729 What is next in -962, -2833, -6500, -12857, -22798, -37217, -57008, -83065? -116282 What is the next term in -329695, -659397, -989095, -1318789, -1648479, -1978165, -2307847? -2637525 What is next in 232, 517, 796, 1009, 1096, 997, 652? 1 What is the next term in 48169, 48439, 48715, 48997, 49285, 49579? 49879 What comes next: -1167958, -2335903, -3503838, -4671757, -5839654, -7007523? -8175358 What comes next: 28709, 57550, 86531, 115652? 144913 What is the next term in -408647, -408626, -408599, -408560, -408503, -408422? -408311 What is next in 792, 5297, 16964, 39195, 75392, 128957? 203292 What is next in -116, -1467, -3710, -6845, -10872, -15791? -21602 What is the next term in 1030770, 1030830, 1030890, 1030950, 1031010, 1031070? 1031130 What comes next: 785, 1928, 3169, 4526, 6017, 7660, 9473, 11474? 13681 What is the next term in -2293, -5134, -8759, -13174, -18385? -24398 What is next in -1847, -3680, -5579, -7610, -9839, -12332? -15155 What is next in -36499333, -72998685, -109498037, -145997389, -182496741, -218996093? -255495445 What is the next term in -12169, -49579, -112233, -200131? -313273 What is next in 2313, 4681, 7061, 9417, 11713, 13913, 15981? 17881 What is next in -3273142, -3273139, -3273136, -3273133? -3273130 What is the next term in 73173109, 146346219, 219519329, 292692439? 365865549 What is next in 387, 706, 1503, 2994, 5395, 8922? 13791 What is next in 318209, 318171, 318109, 318023, 317913, 317779, 317621? 317439 What comes next: -33454, -67224, -100972, -134692, -168378, -202024? -235624 What is the next term in 11342, 14812, 18278, 21746, 25222, 28712, 32222? 35758 What is next in -209497, -837990, -1885471, -3351934, -5237373, -7541782? -10265155 What is the next term in -11057027, -22114044, -33171061, -44228078, -55285095, -66342112? -77399129 What is the next term in 1713, 1604, 1517, 1458, 1433, 1448? 1509 What is next in -7143, -11779, -19509, -30333, -44251? -61263 What is the next term in -9, 1088, 2857, 5292, 8387? 12136 What is the next term in -77200, -154324, -231448, -308572? -385696 What comes next: -10275, -8402, -6527, -4650, -2771? -890 What is next in 10961, 21885, 32809, 43733? 54657 What is the next term in -77297, -154938, -232579, -310220? -387861 What is next in 64848024, 64848021, 64848018, 64848015, 64848012? 64848009 What comes next: -828774, -1657568, -2486376, -3315204, -4144058? -4972944 What comes next: 2819940, 5639797, 8459656, 11279517, 14099380, 16919245, 19739112? 22558981 What is the next term in 45953, 91912, 137865, 183806, 229729, 275628, 321497, 367330? 413121 What comes next: -262442, -524612, -786782, -1048952? -1311122 What is next in 36622, 64802, 92980, 121156? 149330 What is next in -196765, -787074, -1770943, -3148390, -4919433, -7084090, -9642379, -12594318? -15939925 What comes next: -73, -546, -1835, -4348, -8493, -14678, -23311? -34800 What is next in 3934, 15930, 36014, 64192, 100470, 144854, 197350, 257964? 326702 What is next in 1823, 3635, 5355, 6935, 8327, 9483, 10355? 10895 What is the next term in 54754, 109467, 164190, 218923, 273666, 328419? 383182 What comes next: -4475, -6215, -7955, -9695, -11435, -13175? -14915 What is next in -21141372, -21141374, -21141376, -21141378, -21141380? -21141382 What is the next term in -86, -304, -478, -596, -646, -616? -494 What is the next term in -5630, 12495, 61686, 157477, 315402? 550995 What is the next term in -41931, -41845, -41715, -41535, -41299? -41001 What comes next: -25240, -27367, -29494, -31621, -33748, -35875? -38002 What is next in -279202, -558404, -837606? -1116808 What comes nex
{ "pile_set_name": "DM Mathematics" }
Let s = 0.4 + 3.6. Let m = 240 - 243.5. Let h = m + s. Which is the third biggest value? (a) -2/9 (b) h (c) 3 a Let q = -14 - -12.2. Let k = 1.2 - 3.2. Let u = q - k. Which is the second biggest value? (a) -2/3 (b) u (c) 4 b Let p be ((-4)/(-6))/(2/(-3)). Let v be (-48 + 33)*(-2)/18. Which is the smallest value? (a) p (b) -8/3 (c) v b Let n be 8/(-14) - (-2673)/5670. What is the biggest value in -0.3, n, -5, -15? n Let d = 4 + -16. Let o = 13 + d. Suppose 5*s = 30 - 5. Which is the biggest value? (a) o (b) s (c) -5 b Let r = 1 - 4. Let l be 616/(-77) - (-9 + 0). What is the second smallest value in 5, r, l? l Let d = 340 + -340.5. Which is the smallest value? (a) d (b) -13/5 (c) -0.2 b Let x = 14.4 + -29. Let p = -2.6 - x. Let s = 13 - p. Which is the smallest value? (a) -0.2 (b) s (c) 5 a Let h be 135/(-140) - 9/((-252)/20). Let v be (2 + -1)/(2/6). Which is the smallest value? (a) v (b) 0 (c) h (d) 0.4 c Let a = -19.78 + 20.18. What is the third biggest value in 4/3, a, -0.2, 12? a Let q = -2/193 - 179/1351. What is the third smallest value in 0, q, 1/8, -139? 0 Let m = 3.78 - 3.48. Which is the third biggest value? (a) -1/8 (b) m (c) -2 (d) 2 a Let n(c) = -c**3 - 3*c**2 + 5*c + 4. Let g be n(-4). Let z = 172 + -196. Let y(l) = 2*l + 50. Let b be y(z). What is the second biggest value in g, b, -6? g Let u = -122.4 + 122.6. Suppose 2*w = -w + 3. Let r = 1.8 + 0.2. What is the third biggest value in r, w, u? u Let f = -1.9 - -1.6. Let y = -0.2 - f. What is the second smallest value in y, 1/13, -1? 1/13 Let q = -79.5 + 108. Let z = q - 29. Let y be (44/24 + -2)*4. What is the smallest value in -3/4, y, z? -3/4 Let b = 1.9 - 2. Let l = -1.6446 + 0.6446. What is the biggest value in -7, l, 4, b? 4 Let y be (16 + -12)/((-44)/(-6) - 0). Which is the third biggest value? (a) 0 (b) 5/2 (c) y a Let t = -375 + 44. Let f = t - -3644/11. Which is the third biggest value? (a) -4 (b) 4 (c) f a Let h = -2.99 + 0.19. Let n = h + -1.6. Let k = n + -0.6. Which is the second biggest value? (a) k (b) 1 (c) 0.1 c Let s be ((-8)/5)/(2/(-5)). Let o be s/6*27/(-18). What is the third biggest value in o, 1/5, 0.1? o Let v = -14 - -13. Let m = 0 + 6. Let l be 3 + v - (m - 9). What is the second biggest value in l, 1, 1/5? 1 Let x = -34 - -13. Let s = x + 26. Let q be (-3)/36 + (-2)/8. What is the biggest value in s, 1, q? s Let u = -5 - -1. Let r = u + 19. Let l = -19 + r. Which is the biggest value? (a) l (b) -2/17 (c) 2 c Let g be (8/(-12))/(1 - 4/3). Suppose 2*y = -g*f - 0*f, 0 = 3*f - 3*y + 30. Which is the fourth biggest value? (a) 4 (b) f (c) -4 (d) 4/3 b Let l = -1849 + 1849. What is the fourth smallest value in -2/7, 0.03, -2/31, l? 0.03 Let i = -0.08 - -0.08. Let s = 5.65 + -0.65. Let l = i - s. Which is the third biggest value? (a) l (b) 2/3 (c) 0.4 a Let i be -2 - (-91)/26 - 1. Let q = -2 + 1.7. Which is the second biggest value? (a) 4 (b) i (c) -2/5 (d) q b Let a = 5 + -3. Let k be 0 - (0 - a/(-13)). Let v = -281 + 281.4. What is the second biggest value in k, v, 3/4? v Let k = -4.9 - -0.9. What is the second biggest value in 2, k, 50? 2 Let u = -713/426 + 1/142. Let m be (-1)/54*6 + 1/9. Which is the smallest value? (a) 2 (b) m (c) u c Let l be (4/12)/((-1)/43). Let m = 41/3 + l. What is the third biggest value in m, 10, -1/2? m Let f be (-16)/(-6) + 2/(-1). Which is the second smallest value? (a) f (b) -5 (c) 4 a Let t = 1327 + -1326.8. Which is the third biggest value? (a) 41 (b) -3 (c) -0.2 (d) t c Let d = -15.49 - -16.49. What is the second smallest value in 31, d, -23? d Let i = 190 - 268. Let f be (2 - 1)/(i/52). What is the third smallest value in -5, f, 5? 5 Let d = 449/8 - 56. Suppose 4*u + 4*m = 32, -2*m = -2*u + 26 + 10. Let l = 16 - u. Which is the biggest value? (a) 0.4 (b) l (c) d b Let o = 39 + -79/2. Let x(l) = -4*l - 4. Let i be x(-5). What is the biggest value in i, o, -1/6? i Let p = 20 - 17. Suppose 23 = -p*v + b - 6*b, -25 = 5*v + 5*b. What is the third smallest value in 20, v, -4? 20 Let q = 70.91 + -72. Let a = -11.11 + q. Let z = a + 12. What is the third smallest value in 3/4, z, 0.1? 3/4 Let h = -0.872 + 0.881. Which is the second biggest value? (a) h (b) 1 (c) 2 b Let g = 8 - 3. Let q be 4/60 + 19/(-60). What is the fourth smallest value in 3/4, g, q, 0? g Let d be 21/9 + 2/(-1). Let j = 0.3 - -0.7. Let i = -0.056 + -0.044. Which is the biggest value? (a) d (b) j (c) i b Let x = -0.17 - -0.27. Let p = -14 - -9. What is the smallest value in -4, p, x? p Suppose 0*k = 3*k. Suppose k*m = -3*m. Let z = 38/21 + -32/21. Which is the second smallest value? (a) m (b) z (c) 4 b Let t = 0.6 - 0.3. Let a = -1/36 + 41/180. What is the biggest value in a, t, -0.01? t Suppose 34*h - 39*h = -470. Let k = -74 + h. What is the third biggest value in k, 1, -1? -1 Let h be (-379)/(-10) - (-4)/(-10). Let r = 110/3 - h. Which is the smallest value? (a) 5 (b) r (c) 0.4 b Let p = 55 - 23. Let f = -30 + p. Which is the biggest value? (a) -0.3 (b) -0.02 (c) f (d) 0.3 c Let h = -585 - -629. Which is the fourth smallest value? (a) -2/3 (b) 1 (c) 2/5 (d) h d Let d = 0.0311 - -0.9649. Let u = -0.004 - d. What is the third biggest value in 3, 1/4, 2, u? 1/4 Let j = 0.102 - -0.298. Let n = 3 - -2. What is the second smallest value in 2/3, j, n? 2/3 Suppose 43*x = 16*x - 81. Which is the smallest value? (a) 0.4 (b) -2 (c) x (d) -14/13 c Let s = -137 - -138. Suppose -5*c + 5 = -15. What is the second biggest value in c, 0.5, s? s Let k be (11/((-66)/(-18)))/(0 - 3). Which is the smallest value? (a) -2/7 (b) 4/7 (c) k (d) -2/29 c Let d = 0.0539 + 0.0461. What is the third biggest value in d, 4, 0.3, 3? 0.3 Let i = 381 + -408. Which is the third smallest value? (a) -2 (b) i (c) -0.1 c Let x = -19.61 + 20. Let l = -0.35 + x. Suppose o + 11 = -2*d, 0*d - 5*d = -o + 10. Which is the smallest value? (a) l (b) -0.3 (c) o c Let y = 43 + -70. Let q be y/(-30) - (-1)/(-2). Which is the second smallest value? (a) q (b) 1 (c) 3/2 b Let u = 170 + -170. Let s be (u - (-2 + -1)) + (-35)/12. Let z = -0.6 - -0.2. Which is the biggest value? (a) z (b) -1/5 (c) s c Suppose 0 = -8*o - 145 + 537. Which is the biggest value? (a) 0.3 (b) o (c) -0.4 b Let i = 4.2 + -6. Let p = -40 - -43.2. Let t = i - p. What is the second biggest value in -4, 1, t? -4 Let g = -0.2 - -3. Let y = 1.2 + g. Suppose 0 = f + 1 - 2. Which is the third smallest value? (a) y (b) -5 (c) f a Let q = -0.0378 + -0.0022. Which is the second smallest value? (a) -0.1 (b) q (c) -0.5 (d) 3 a Suppose 0*p = 2*p + 24. Let j(q) = q**3 + 11*q**2 - 11*q + 10. Let y be j(p). Let k = -904 - -29834/33. Which is the second biggest value? (a) 5 (b) k (c) y b Let v = 57.6 - 30.6. Which is the second smallest value? (a) 0.3 (b) -0.1 (c) v a Let a = -0.04 + 0.04. What is the fourth biggest value in -10, -0.4, 0.2, a? -10 Let x be (-124)/((-12)/(-15)*(-20)/(-8)). What is the second biggest value in -3/5, 0.1, x? -3/5 Let f = 6.96 + -2.96. What is the third biggest value in -1, 4/5, -2/7, f? -2/7 Let n = -20 + 14. Let b = n - -5.7. Let q = 0.05 - 2.05. What is the smallest value in 2, q, b? q Let g = 3 + -5. Suppose 4*p - 6 = 6. Which is the biggest value? (a) p (b) g (c) -15 a Let v = 18.7 - -68.3. Which is the second smallest value? (a) v (b) 5 (c) 0.2 b Let r = -55.3 + 55.1. Which is the biggest value? (a) 3 (b) r (c) -4 (d) 41 d Let c(o) = -5*o**2 + 9*o + 5. Let g be c(-5). Let z = g - -1157/7. Let j = -8 - -13. What is the second smallest value in 2, j, z? 2 Suppose -3*a - 4*h = 7, h + 1 = 2*a - 3*a. Suppose a*o = -w + 7 + 4, 11 = 2*o - 3*w. What is the fourth biggest value in 5, -0.2, o, -2? -2 Let s = -4.3 + 2.5. Let d = s + -7.2. Which is the third biggest value? (a) -1 (b) d (c) 4 b Let m = -0.0619 - -4.0619. Let n be 6/(-16)*(-14)/(-3). Which is the third smallest value? (a) -4 (b) m (c) n b Let z = -34.368 + 0.368. Which is the second smallest value? (a) -2/11 (b) z (c) 4/3 a Suppose -2*h + 10 = 5*g, 0 = h - 6*h + 2*g - 4. Suppose 4*q + q + 45 = 0. Let y be 7/(-7)*2/q. Which is the smallest value? (a) h (b) -2/13 (c) y b Let f be (-2)/11 - (-216)/(-264). Which is the second bigges
{ "pile_set_name": "DM Mathematics" }
o be (9/(54/4))/(110/495). Solve -q + 1 = 0, -o*h + y*q - 3*q = 2 for h. -1 Let j(i) = 6 - 11*i**2 - i**3 - 2*i**2 + i**2 - 2. Let n be -5*4/(-100) - 1037/85. Let p be j(n). Solve -5*w + 2*r = 10, 5*r - 18 = p*w + 7 for w. 0 Let j be 96/40*5*1. Suppose 0 = -l + 7*l - j. Suppose 0 = -7*k + 10*k - w - 4, k = -4*w - 16. Solve -4 = 2*r - 2*p - k*p, -l*p - 2 = 0 for r. -3 Let w = -83 - -31. Let l = 54 + w. Suppose -3*i = -4*c - i - 6, 5*i = -l*c + 15. Solve 4*s + 0*s - 7 = 5*b, -3*b + 4*s - 1 = c for b. -3 Suppose -17*q + 610 = 542. Solve -5*v - 16 = 3*r - 7*r, q*v = -r - 17 for r. -1 Let c(n) = 6*n + 355. Let k be c(-58). Let u(x) = -x**2 - 6*x - 6. Let y be u(-4). Solve 2*v + 5*w = 2*w - 12, -k = v + y*w for v. -3 Let j be 1*5 + (-26 - 27)/53. Solve a - q + 2 = 6, -3*a + j*q = -15 for a. 1 Let y(s) = -3*s**2 - 2*s + 124. Let o be y(6). Solve o*b - 3*i + 4 = -i, -4*i = 2*b - 8 for b. 0 Let c(a) = -a**3 - 9*a**2 - 74*a + 48 + 68*a + 4*a. Let v be c(-8). Solve 2*l = 3*f - 8, v = -3*f - l - 1 - 3 for f. 0 Suppose 15*f + 266 = 326. Let b = 47 - 46. Let g(i) = i**2 - i + 1. Let l be g(2). Solve -10 + b = l*n + 2*s, n + 17 = f*s for n. -5 Suppose 866*d - 876*d + 15 + 25 = 0. Solve 5 = d*k + 5*m, k + 6*m - 17 = 10*m for k. 5 Suppose -4*z = -8, -5*t + 7 + 1 = -z. Let x be (-765)/(-270) - ((-46)/(-12) + 8/(-2)). Solve 4*w - 13 = 2*h - h, x*w = -t*h - 4 for w. 2 Let v = -78 + 91. Suppose 19*b - 64 = -v*b. Solve 5*z = -4*j - 18, 2*j - 14 = 7*j + b*z for j. -2 Suppose 20*p = 17*p - 167*p. Let r(m) = m**2 + 5*m. Let j be r(-5). Solve p = -4*z + 4*n + 20, j = 2*z - 8*n + 3*n - 10 for z. 5 Let n be (-110)/(-11) - (-5 + 1). Suppose 0 = -5*y + 4*b + 11 + n, 3*y - b - 15 = 0. Solve -a - 4*t - 4 = 8, y*a - 28 = 2*t for a. 4 Let x(s) = -4*s + 69. Let z be x(16). Suppose 0 = z*v + 4*b - 172 + 710, -4*b = 8. Let t = -103 - v. Solve -t*y - 3*i = -6, 0*i = -i + 1 for y. 1 Let l be (0 - -3)/1*(263 - 242). Solve 2*t - 43 = 5*v - l, -6 = -3*v for t. -5 Suppose 8*p = 4*f + 4*p - 608, -f - 3*p + 132 = 0. Let m be (-84)/f + (-8)/(-14). Solve -r + 5*d - 11 = m, -5*r + 3*r + 14 = 2*d for r. 4 Let m be (2/4)/(((-175)/28 + 8)/7). Solve 2*i + 0*i = -m*g, 5*i + 8 = 3*g for g. 1 Suppose -4*c + 5*c = -352. Let p be 4*(-2)/(-44) + (-640)/c. Solve -g - 5 = -b, -3*g + 10 = p*g + 2*b for g. 0 Suppose -4*w - 14 = -5*f, -11 + 5 = -2*f + 2*w. Solve 4*s + 2 = -r, -2*r + f*s + 3 - 7 = 0 for r. -2 Let q = 22 - 20. Let w = -41 - -59. Suppose -w*t + 20*t = 4. Solve 2 = -0*v + v, -t*k - q = -v for k. 0 Suppose -25*p + 24*p = 5. Let x be (-28)/7 + 1 - p/1. Solve -x*b - b + 5*g = -4, -4*g = -b - 1 for b. 3 Let w(x) = -42*x - 5 - 44*x + 2*x**2 - x**3 + 83*x - 5*x**2. Let m be w(-3). Solve -25 = -2*a - 5*q, -2*a = -m*a - 2*q + 16 for a. 5 Let k be ((1 - -2)/(108/144))/2. Solve 2*s + s = -f - 16, 0 = -2*f - k for s. -5 Suppose 17 = 3*u - 4*g, 3*g - 88 = 3*u - 103. Solve -f - 2*o - 5 = 0, -8*f - 7 = -7*f + u*o for f. -1 Let p = -64 + 62. Let y = -11 - -4. Let v be (-2)/(y/p - 4). Solve 3*k - 1 = -m - 4*m, v*k + 14 = m for k. -3 Let p = 1736 + -1734. Solve 0 = p*b - 4*t - 16 - 8, -5*t - 4 = 4*b for b. 4 Let b(d) = d**3 - 17*d**2 - 18*d + 5. Let p be b(18). Let o = -9 + 21. Let i = -1731 - -1752. Solve -p*s = 2*f + i, -s - o + 3 = -2*f for s. -5 Suppose -2*v = -7*v, 5*j = -3*v + 150. Let c be (15/2)/3*24/j. Let y(s) = s**2 - s + 2. Let k be y(2). Solve -4*l = k*o + 8, 3*l - c*o + 12 = l for l. -4 Suppose -5*p - 159 = -5*t + 336, -4*t + 198 = -2*p. Suppose b = -963 + 1062. Let a = p + b. Solve w = 2*r - 7, -4 = -a*r - r for w. 1 Suppose n = -4*r, 2*n - 60*r - 12 = -56*r. Solve 5*g - 10 = 0, -n*y = -3*g + 39 - 45 for y. 3 Suppose -627*m + i - 2 = -628*m, -3*m + 18 = -3*i. Solve 4*b = -m*j - 28, 5*b + 54*j = 52*j - 29 for b. -5 Let u = -123 - -125. Suppose 3*a - 13 = -q, -2*q - a = u*a - 17. Solve 2*r - q*t + 2 = 0, 5*r = 3*t - 7*t + 23 for r. 3 Let u be 14/(-70)*-70 - 10. Solve 3*g - u*f - 2 = 22, -6*g + 5*f = -30 for g. 0 Let k = 1552 + -694. Suppose 11*t + k = 33*t. Solve 0 = -j - 4*n - 12, -3*j + t = -4*n + 11 for j. 4 Suppose 6*s - 4*s + 5*w + 256 = 0, -w - 240 = 2*s. Let u = s + 177. Suppose 10*o - 111 = u. Solve 3*g - 4*b - 19 = 0, 4*g + 2*b - o = 1 for g. 5 Suppose -4*z + 234 = -5*h + 293, -5*h - z + 29 = 0. Solve -5*g - 17 = -6*x, -10*g - 1 = x - h*g for x. 2 Let b = -3359 + 3504. Solve -148*j = 2*v - b*j + 10, 0 = 3*v - 2*j + 2 for v. -2 Let g(t) = -2*t**3 + 408*t**2 + 411*t - 201. Let u be g(205). Solve -u*l = h - 23, l + 102 = 107 for h. 3 Let y(u) = u**3 - 18*u**2 + 30*u + 35. Let q = -86 - -102. Let g be y(q). Solve 4*t - 36 = 3*i - 8*i, -g*i = -4*t + 4 for t. 4 Let w be 19/(-4) + (-3)/12. Let q = w + 8. Let o = 170782 + -170779. Solve o = v + q*y, 5 = 4*y - 3 for v. -3 Suppose 0 = -0*m - 3*m + 6. Suppose m*w + 0*a = 4*a + 16, -5*a = -w + 23. Let i(r) = -8*r - 13. Let q be i(w). Solve -22 = q*u - 2*l, 3*u = 4*l - 0 - 32 for u. -4 Suppose 2*b - 41 = -3*u, -6*b + 11*b + 7*u - 99 = 0. Solve -40 = b*h - 7*h - 5*r, 0 = -4*h + 4*r - 40 for h. -5 Let c(v) = -v**2 + 63*v + 3. Let l be c(63). Solve 5*y + m - 11 = -0*m, 3*y = -l*m - 3 for y. 3 Let a = 2 - -3. Let u(d) = 70 + 7*d**3 - 2*d + 0*d + 0*d**2 - 6*d**3 - 4*d**2 - 81. Let o be u(a). Solve 2*h - h + 4 = m, -3*m - o = h for h. -4 Suppose -10*o = -6*o + 13*o - 85. Solve 0 = -3*f - 2*s + 9, -5*f = -2*s - o + 6 for f. 1 Let n(t) = -2*t**3 + 4*t**2 + 3*t - 6. Let p(y) = y**3 + 15*y**2 + 51*y + 12. Let s be p(-10). Let o be n(s). Solve r = o, 0*j + j = -r + 2 for j. 2 Suppose 6*b + 14 = k, -2*k = -b - 0 + 5. Let g be 5 + (-7 - 9)/k. Solve -3*v = 4*n + g, -n = 3*v + 8 + 1 for v. -3 Let l = -10359 + 10359. Solve -4*f + 23 = -5*c - l*f, 0 = -4*c + 2*f - 16 for c. -3 Let a = 248 + -225. Suppose 0 = 26*w - a*w - 6. Solve -3*p + d = -d - 15, 2*p - w*d - 10 = 0 for p. 5 Suppose -7*q + 10*q + 2*c = 13, -5*q = 5*c - 30. Solve -h = 5*f - 19, f + 16*h - 17*h = -q for f. 3 Let a be 385/55 + (6 + -14)*1/2. Suppose -4*l + 5*l - 4*z - 18 = 0, -2*z = 2*l + 4. Solve a*j + l*y + 11 = 0, 0*j - 2*y = -j + 7 for j. -1 Let x(r) = -5*r**2 + 31*r - 1. Let t be x(6). Suppose 2*a - 6 = -2*n - 10, 0 = -t*n + 2*a + 18. Solve n*b = -i - 8, -3*b + 3*i + 2*i = -14 for b. -2 Suppose 2*w + 2*f - 190 = 5*f, 437 = 5*w + 2*f. Suppose w + 65 = 11*q. Solve -o + q = -5*m, -5*m - 2*o + 3 = 5 for m. -2 Let u(j) = j**2 + 4*j - 3. Let x be u(-5). Let b = -7 + 4. Let i be 5 + b + (x - 2). Solve 5*o = -4*h - 8 - i, 0 = 2*o - 4*h + 4 for o. -2 Suppose h + 27 = 30. Let d(l) = 8*l - 46. Let a be d(7). Solve 4*f = 3*r - 5*r + 2, f + a = h*r for r. 3 Let t be (-3 + -12)*(-1 + 30/45). Solve 0 = 5*n + g - 20, -10*n - t = -7*n + 4*g for n. 5 Suppose -152*g + 53*g + 297 = 0. Solve -2 = 2*m - a - 7, -g*m + 4*a + 10 = 0 for m. 2 Suppose -4*y = -17 - 3. Solve 13*u + 3*b - 9 = 14*u, 3*u - b - y = 0 for u. 3 Let h be ((-49)/98)/(2/(-108)). Let z(x) = -12*x + 332. Let q be z(h). Solve 2*m + 3*b + 12 = 0, m - b - q = 3*m for m. -3 Suppose -140*v + 30 = -60*v - 65*v. Solve 7*z - 5 = 3*s + 5*z, z = -v*s - 15 for s. -5 Let l = -11894 - -11899. Solve -60 = -l*g - 5*z, g + 42 = 6*g - z for g. 9 Let z(d) = d**3 - 31*d**2 + 26*d + 120. Let a be z(30). Suppose 0*c + 78 = 3*c. Solve i = u + 6 - a, -5*u - c = -i for i. 1 Suppose -x + 84 = 19*x + x. Solve -x*a + 4*q - 16 = 0, -16 = 4*a - q - 6 for a. -2 Let s = 44 - -84. Let n = s - -104. Suppose 0*q + 8*q - n = 0. Solve r = -5*v - 0*r - q, -v = -5*r - 15 for v. -5 Suppose 0 = 2*t + 4*c, 0*t + 5*c = 5*t + 60. Let y be (t/12)/(8/(-60)). Solve 5 = -2*g - 3*g + y*s, -3*g - 3*s - 27 = 0 for g. -5 Let w = 3584 - 3576. Solve -p - 3 = -z, w = -3*p - 6*z + 10*z for p. -4 Let k(s) = 2*s**2 - 22*s - 27. Let r be k(12). Let l be 7/3 + 1/r. Suppose 4*m + 0*m - 8 = 0. Solve 0*y - 15 = m*y - 5*t, 9 = -l*y - t for y. -5 Let t = -24472 + 24475. Let z be 5/2 - (-1)/2. Suppose -40 = -z*l + 32. Solve t*x + l = 3*a, 20 = -2*x - 3*x for a. 4 Suppose 138 = -18*w + 15*w. Let y = w + 76. Let o(n) = -4*n + 54. Let i be o(10). Solve -3*m + 0 = 4*k + i, 5*m - 4*k - y = 0 for m. 2 Let c be 0/(((-72)/(-6))/6). Suppose 20 = -4*n, 3*j + 5*n + 2 - 4 = c. Solve -j = 4*p - d, 2*d = 6*d + 12 for p. -3 Let j(k) = 17*k**2 - 1. Let u be j(-1). Suppose -u = 10*v - 66. Solve 0*o = -4*z - v*o + 16, -z + 4 = -
{ "pile_set_name": "DM Mathematics" }
the difference between 0.02 and 12337432? 12337431.98 Work out -5 - 4007078. -4007083 What is -0.5 less than -2.29391401? -1.79391401 Calculate 0.9207481 + -25. -24.0792519 Work out 13 + -908903. -908890 Calculate 57 - -161600. 161657 Sum 654.2 and 18958. 19612.2 What is the difference between -5 and 14748521048? 14748521053 132.828351 - 0.48 132.348351 What is 1.7 - 62285053? -62285051.3 -0.2 + 961083705 961083704.8 Subtract 109.917 from 161. 51.083 Sum 5 and 0.0098564818. 5.0098564818 What is -45 minus 77724.1? -77769.1 Put together 1 and -4194349307. -4194349306 What is -205 plus 0.50019534? -204.49980466 Add 9939 and 2686094. 2696033 What is the distance between -28028 and -516? 27512 Subtract -1048 from -6236936. -6235888 Calculate 56 - -82.13623. 138.13623 Work out -697602344 + 1. -697602343 Total of 32988154.81 and -7. 32988147.81 What is -2 plus -194158111? -194158113 What is -5233410 less than 0.041? 5233410.041 Work out 1055654 + -332. 1055322 What is -10951.34 minus 1.5? -10952.84 What is -3060674 minus -25? -3060649 What is 5 plus 3146490713.7? 3146490718.7 What is the difference between 4.7 and 86.6269923? 81.9269923 Total of 1.3 and -49.3113. -48.0113 Add 0.01 and -2.31826. -2.30826 1255.3 + -2.05115 1253.24885 Calculate 27.4 + 7.9991. 35.3991 222056309 - 0.095 222056308.905 Subtract -1164036800 from -4. 1164036796 Subtract 0.0954 from -334.3. -334.3954 What is the distance between 6829437753 and 0.4? 6829437752.6 What is 24 + 6945440630? 6945440654 What is -46 less than 8312065? 8312111 Subtract 2 from 2335110553. 2335110551 3 + 974742.7718 974745.7718 Calculate 1610 + -12773993. -12772383 -0.43369 + 33673 33672.56631 Sum 145 and -16607. -16462 What is 0.9596 plus 853? 853.9596 What is 243 plus -34.3772? 208.6228 What is the distance between -3.92 and -3233012? 3233008.08 217958 + 14.86 217972.86 What is -320 - -245732? 245412 Work out -2192926126 - 5. -2192926131 What is 0.7 take away -16768.1457? 16768.8457 -5 - 17210331.353 -17210336.353 Work out -5 - -30259288. 30259283 -91168268 - 34 -91168302 -8 - 18.8569 -26.8569 What is the difference between 16833 and 3.7413? 16829.2587 Work out -556 - 6716. -7272 Sum -91 and 951.53538. 860.53538 What is -29311.618 plus 0.1? -29311.518 -1978753 - 21.78 -1978774.78 Total of 1.25411 and 132. 133.25411 Work out 4255 - 4236. 19 What is -10.3908 - 0.42? -10.8108 -1329+220058 218729 What is 0.2 minus 1.5670165? -1.3670165 Put together 557538.5449 and 0.2. 557538.7449 What is the distance between 10.267256 and 3? 7.267256 Work out 5906.645 - 0.33. 5906.315 What is 83.731 less than -5990? -6073.731 What is -3.48387 less than -5667? -5663.51613 -0.018+516652 516651.982 Subtract 11.1415 from 0.84. -10.3015 Add together 0.17 and -697305.53. -697305.36 What is 16 plus -1116883826? -1116883810 Calculate 0.0907879 - 1.3. -1.2092121 What is 1715580 + -8037? 1707543 What is the difference between -0.16769 and -1501.7? 1501.53231 What is -0.2 minus 16966141? -16966141.2 Sum 22278.7806 and 0.072. 22278.8526 Total of -34235308 and 3. -34235305 Work out 1462.0628 + -10. 1452.0628 What is -1 + 155675573? 155675572 Work out 0.16 - 1176935471. -1176935470.84 Total of -144 and 4.007. -139.993 Put together -36.875 and 1973.54. 1936.665 -0.4+120.90241 120.50241 -0.027795168537+4 3.972204831463 Calculate 297715192 - 314. 297714878 0.0129330782 + 7 7.0129330782 Calculate 78113.51141 - -0.1. 78113.61141 Subtract -1062 from 13532. 14594 Work out -0.262916 + -0.8862. -1.149116 What is 1.527 plus 38583? 38584.527 Work out -0.2 - -135537087. 135537086.8 -1817+-63016 -64833 What is -3.5 minus 28308614.6? -28308618.1 Add -11164 and 89.9. -11074.1 What is 1153 minus 18734.95? -17581.95 Work out -11.55 + -129.19. -140.74 Work out -444490 + 51. -444439 What is the difference between -0.03 and 175549.64? 175549.67 What is 0.2197147336 plus 0.5? 0.7197147336 What is 427 minus 1145.7297? -718.7297 -86726 + 3.2729 -86722.7271 What is -89310500.89 minus 0.2? -89310501.09 -1479+0.9936 -1478.0064 What is the distance between -54503505.71 and -0.1? 54503505.61 Subtract -0.025 from -341281. -341280.975 Calculate -613808 - 93. -613901 Sum 71.78265 and 13. 84.78265 909159495 - -18 909159513 Put together -372644627 and 2. -372644625 Work out 213.736 + 0.07. 213.806 What is 0.0387 less than 1188.804? 1188.7653 Sum 0.33 and -27701.8. -27701.47 Subtract -0.023125 from -162.6. -162.576875 Total of -31775.4862 and -44. -31819.4862 What is the difference between 0.3121 and 0.241? 0.0711 What is -4742 minus 29.69144? -4771.69144 Calculate -1609075 - 84. -1609159 Calculate -31974250 + 366. -31973884 What is 0.2 take away -2025627644? 2025627644.2 Work out 1.2324 - -63669. 63670.2324 Calculate 41 + -272366. -272325 Subtract -1209172 from 5.5. 1209177.5 Sum 907969 and -6.5. 907962.5 What is 746 less than -2854? -3600 What is -14959.5 plus -375.2? -15334.7 Subtract -5 from 10801044. 10801049 Calculate -0.496848 + 20422. 20421.503152 Add 3.44 and 6.26385. 9.70385 Total of 1.6 and 1449.22229. 1450.82229 What is -9 - 0.0348153609? -9.0348153609 2 + 8919829 8919831 Put together 103 and 0.4512416. 103.4512416 Total of -11 and 514029291. 514029280 What is 13 minus 252021902? -252021889 Sum 52.913 and -2.5156. 50.3974 40145265425 + 0 40145265425 Calculate 2843.3 - -16829. 19672.3 Work out -103 + -0.15711. -103.15711 Sum -0.6 and -2468975285. -2468975285.6 6885534378+0 6885534378 Put together 0.02168 and 0.1606. 0.18228 Sum -0.2 and -2.32686787. -2.52686787 What is -16263221270 + 5? -16263221265 Calculate 2.4888 + -0.0031. 2.4857 What is the distance between -0.143177 and 34? 34.143177 Put together 11.504 and 185528. 185539.504 What is the distance between 12.6 and -8665729? 8665741.6 What is -0.036017947 - 0.8? -0.836017947 What is -37.172 take away -11? -26.172 Subtract 1533776284 from 0.3. -1533776283.7 Work out 22 - 4954797. -4954775 Work out -0.8 + 89.895. 89.095 What is 336.49377 + 166? 502.49377 What is -0.5 take away -24057604? 24057603.5 What is -5 take away -28.842704? 23.842704 Total of 0.3 and -5.667238. -5.367238 What is -83.6584632 plus -0.1? -83.7584632 What is 67400756441 - 1? 67400756440 Sum -0.009 and -20202.43. -20202.439 Total of 174508315 and -5. 174508310 What is 13 + -1976935081? -1976935068 Add together -5700.4 and 206627. 200926.6 Subtract -691.233 from 69. 760.233 What is -374678 minus -2.7983? -374675.2017 17083635 + -74 17083561 What is -0.82 plus 172732225? 172732224.18 Add -52.78 and -12635. -12687.78 What is -150370 less than 3.422? 150373.422 Add together -30069281697 and -5. -30069281702 What is the distance between -0.12 and 20.08565? 20.20565 What is 2 plus 1336062? 1336064 What is the distance between -7180188535 and 0.6? 7180188535.6 Subtract 921 from -132.47. -1053.47 What is 1671 plus -10999.0451? -9328.0451 What is -0.018 + 2610101? 2610100.982 What is 1247625 less than -1? -1247626 Calculate 3 - 10566.95774. -10563.95774 -186004 - 5419.3 -191423.3 Work out -6435.433 + 0.11. -6435.323 What is the distance between 1.5 and 0.7386812? 0.7613188 Calculate 241 + 328.172. 569.172 What is 421443 take away 1.1? 421441.9 Calculate -0.255 - -920.9. 920.645 61666155.3 - -0.1 61666155.4 Add together 50411324.1 and 96. 50411420.1 Work out -0.119 + -46967044. -46967044.119 -0.8 - 82160211 -82160211.8 Sum 3259 and -4.94. 3254.06 -242 - -0.403438 -241.596562 What is -5001203183 take away 5? -5001203188 Work out 47.3 - -6846165. 6846212.3 Work out 240.7 + 1.67065. 242.37065 Work out -0.0412 - -3434.7. 3434.6588 Calculate 95.56 - 711.716. -616.156 Add together -48 and -6.64761. -54.64761 What is the distance between -2801272 and 2417? 2803689 What is the distance between 723516 and 64.34? 723451.66 Work out 577.04915 - -0.03. 577.07915 24 - -3951.42 3975.42 Add -14.7252 and -0.03101. -14.75621 What is -3 + -1425729? -1425732 What is the difference between 307965.3 and -204? 308169.3 What is 5908.43 take away 14? 5894.43 Put together -0.6457 and -3041479. -3041479.6457 What is -2647641.88 plus 0.3? -2647641.58 Work out -8239553 - 1996. -8241549 Work out 138 - 97827329. -97827191 What is -0.1411 + 71.1003? 70.9592 Sum 3.58 and -131098. -131094.42 Work out -3 - -0.511133589. -2.488866411 What is 1.18989 - -728? 729.18989 What is
{ "pile_set_name": "DM Mathematics" }
*2 wrt l. f**2 - 36*l Find the second derivative of -3*u**5 + 25*u**4 - 20*u**3 + u + 139. -60*u**3 + 300*u**2 - 120*u What is the third derivative of 3472*v**4 + 1302*v**2 + 3 wrt v? 83328*v What is the derivative of -18*o**2*p**3 - 5*o**2*p*x - 22*o**2*p - 30*p**3*x - p*x**2 wrt x? -5*o**2*p - 30*p**3 - 2*p*x Differentiate 3*o*w + 157*o - 53*w**4 + 2 wrt w. 3*o - 212*w**3 What is the third derivative of -1255*t**4 + 25*t**2 - 3? -30120*t Differentiate 2448*v**2 - 593 with respect to v. 4896*v What is the third derivative of 2*a**5 + 238*a**3 + 6163*a**2 wrt a? 120*a**2 + 1428 What is the second derivative of d**3*y + 22*d**2*y + 2*d*y + d + 100*y wrt d? 6*d*y + 44*y What is the derivative of -28*i**2*w**3 + 2*i**2*w**2 + 4*i**2 - 11*i - 2*w wrt w? -84*i**2*w**2 + 4*i**2*w - 2 Find the second derivative of 3*m**2*w**2 - m**2*w + 23*m**2 + 3*m*w**5 - 4*w**4 wrt w. 6*m**2 + 60*m*w**3 - 48*w**2 Find the second derivative of 3103*w**2 - 1463*w wrt w. 6206 What is the second derivative of 177*c**3*f**3 - 29*c**3*f + 3*c**2*f**3 - 12*c**2*f wrt f? 1062*c**3*f + 18*c**2*f Find the third derivative of u**3*y**3 + 2*u**3 + 142*y**6 + 3*y**4 + 42*y**2 wrt y. 6*u**3 + 17040*y**3 + 72*y Find the second derivative of 9*w**5 - 80*w**2 + 1779*w wrt w. 180*w**3 - 160 What is the third derivative of -229*r**4*s**3 + 4*r**2*s**3 + 31*r**2*s**2 wrt r? -5496*r*s**3 What is the second derivative of -14*d**3*p**3 + 2*d**3*p - 27*d*p**3 + 3*d*p + 50*p wrt p? -84*d**3*p - 162*d*p What is the first derivative of -215*u**4 - u**3 + 674? -860*u**3 - 3*u**2 Find the third derivative of 792*o**3 - 19*o**2 + 5*o. 4752 Find the third derivative of -8331*d**2*r*t + 31*d**2*t**3 - 25*d*r*t**3 - 2*d*r*t**2 + 2*t**4 wrt t. 186*d**2 - 150*d*r + 48*t Find the third derivative of 8912*b**2*l**5 - 34*b**2*l**2 - 29*b**2 - 2*b*l**5 + 2*b wrt l. 534720*b**2*l**2 - 120*b*l**2 Differentiate 4*l**2 + 828*l + 537. 8*l + 828 What is the second derivative of -9*f**3*z**2 - 407*f**3 - 11*f*z**2 + 64*z**2 wrt f? -54*f*z**2 - 2442*f Find the first derivative of d**4 - 18*d**2*x - d - 1550*x + 2 wrt d. 4*d**3 - 36*d*x - 1 What is the third derivative of 3*b**3*i*l**3 + 7*b**3*i*l - 556*b**3*l**4 + 24*b**2*l**2 - 2*i*l - l**2 wrt l? 18*b**3*i - 13344*b**3*l What is the second derivative of 810*u**5 + u - 191 wrt u? 16200*u**3 What is the first derivative of -2496*t**3 + 665 wrt t? -7488*t**2 Find the second derivative of 82*q**5 - 378*q wrt q. 1640*q**3 What is the derivative of 1498*r**2*x**2 + 357*r**2 - 2*x**2 - 9 wrt x? 2996*r**2*x - 4*x What is the third derivative of -6*t**3*v - 52*t**3*w + t**2*v*w - 2*t**2*w + 7*t*v + 4*v wrt t? -36*v - 312*w What is the second derivative of -2*p**4 + 1004*p**3 - 2*p**2 - 15*p + 74 wrt p? -24*p**2 + 6024*p - 4 Differentiate 748*g*w**4 - 200*g + 2 with respect to w. 2992*g*w**3 Find the second derivative of 6*f*r**3 + 5*f*r**2 - 3*f*r - 45*f + r**2 - r wrt r. 36*f*r + 10*f + 2 What is the second derivative of -366*z**2 + z + 173? -732 Differentiate 1195*f**4 + 1230. 4780*f**3 Find the second derivative of 129*k**5 - 53*k wrt k. 2580*k**3 What is the first derivative of 626*j**2 - j - 1828 wrt j? 1252*j - 1 What is the third derivative of -2*p**6 - 101*p**4 + p**3 + 617*p**2? -240*p**3 - 2424*p + 6 Differentiate 199*k**2 - 3200. 398*k What is the third derivative of 56*c**2*u**3 + c**2*u + 16*c*u**6 - 46*c*u + u**2 wrt u? 336*c**2 + 1920*c*u**3 What is the second derivative of -3119*z**3 + 3236*z wrt z? -18714*z What is the third derivative of 337*a**5 + 640*a**2 wrt a? 20220*a**2 What is the second derivative of 130*i**2*v**2 - 3*i**2*v - 165*i*v**2 wrt i? 260*v**2 - 6*v What is the third derivative of 2*b**2*d*f*s - 2*b**2*f**3*s - 33*b*d*f**2*s + b*d*f*s + 2*d*f**3*s - 70*d*f**3 - 2*d*f*s wrt f? -12*b**2*s + 12*d*s - 420*d Find the second derivative of 123*j**4*q**2 + j**4*q + j*q**2 + 3*q**2 + 9 wrt j. 1476*j**2*q**2 + 12*j**2*q What is the second derivative of -14*v*z**2 + 4*v*z - 28*v - 3*z**5 wrt z? -28*v - 60*z**3 Find the third derivative of 9921*b**3*g**2 - 278*b**2*g - g**2 wrt b. 59526*g**2 What is the third derivative of 93*b**2*m**4 + 28*b**2*m**2 + 4*b*m**3 - b*m**2 - b*m wrt m? 2232*b**2*m + 24*b What is the third derivative of -31*d**6 + d**2 - 35 wrt d? -3720*d**3 What is the second derivative of 70*d**2*t**3 - 65*d*t**3 - 4*d*t wrt d? 140*t**3 What is the third derivative of -63*p**4 + 113*p**2? -1512*p What is the second derivative of -2*o**5 + o**4 - 268*o**3*t + 1412*o*t wrt o? -40*o**3 + 12*o**2 - 1608*o*t Find the second derivative of h**3*q**3 - 2*h**3*q**2 - h**3 + h*q**3 wrt h. 6*h*q**3 - 12*h*q**2 - 6*h What is the derivative of 36*h**4 + h**3 - 235 wrt h? 144*h**3 + 3*h**2 Find the third derivative of -8*a*o*p**5 + 2*a*o*p**2 - a*o*p - 3*a*o - 7*a*p**3 - 2*o*p**4 wrt p. -480*a*o*p**2 - 42*a - 48*o*p What is the derivative of -240*o**2 - 158? -480*o Find the third derivative of -133*q**3 - 2*q**2 - 16*q. -798 Find the third derivative of -1352*d**3 + 2*d**2 - 440. -8112 What is the third derivative of 4*a**3*m**3 - 6*a**3 + 3*a**2*m**3*o + 2*a**2*m**2*o - 3*a**2*m**2 + 5*a**2*m wrt m? 24*a**3 + 18*a**2*o Find the third derivative of -c**3*i**2 + 4*c**3*i + 69*c**3 + 2*c**2*i**2 + 2*c**2 - 2*i**2 + 6*i wrt c. -6*i**2 + 24*i + 414 Find the second derivative of 1049*w**2 + 2*w + 7 wrt w. 2098 Differentiate -192*z - 662 wrt z. -192 Find the second derivative of -24*v**3 - 1555*v. -144*v What is the second derivative of -257*v**3 + 33*v + 2? -1542*v Differentiate 3*h*z**3 + 17*h*z**2 - 22*h + 6 with respect to z. 9*h*z**2 + 34*h*z What is the third derivative of 2*l*n*q**4 - 13*l*n*q**3 + 2*l*n + 196*l*q**3 - 27*l + 2*n*q**2 + 66*n wrt q? 48*l*n*q - 78*l*n + 1176*l Find the third derivative of 224*j**6 - 43*j**2 + 2 wrt j. 26880*j**3 What is the second derivative of 20*a**3*h**3*q**2 + a**3*h*q**2 - 2*a**3*h*q - 7*a**3*q + 27*a**2*h**3*q wrt q? 40*a**3*h**3 + 2*a**3*h What is the derivative of 107*o**3 + 29*o + 2449 wrt o? 321*o**2 + 29 What is the second derivative of -15*f**3 + 4*f**2 + 241*f? -90*f + 8 What is the second derivative of -7*k**4 - 315*k**3 + 2*k - 931 wrt k? -84*k**2 - 1890*k Differentiate -786*b**3 - 402 wrt b. -2358*b**2 What is the derivative of -3*o**2*p**3 + 8*o**2*p + 2*o**2 + 2*o + p**3 + 907*p**2 wrt o? -6*o*p**3 + 16*o*p + 4*o + 2 Find the second derivative of -103*r**5 + r**2 - r - 8. -2060*r**3 + 2 Differentiate -68*z**4 + 359 wrt z. -272*z**3 What is the third derivative of -5*o**6 + 19*o**5 + 7*o**4 + 15*o**2 + 393*o - 1? -600*o**3 + 1140*o**2 + 168*o Find the third derivative of 7596*a**3 + 29*a**2 + 3*a + 2. 45576 Find the third derivative of 8*g**4*p + 6*g**4 + g**3*p - 1730*g**2*p wrt g. 192*g*p + 144*g + 6*p What is the derivative of 10*c**2*j**2 + 69*c**2*n + c*j**2*n + c*n - 12*j**2 wrt j? 20*c**2*j + 2*c*j*n - 24*j What is the second derivative of -153*q**2*z**2 - 25*q**2 - 9*q*z**2 + 2*q + 266*z wrt q? -306*z**2 - 50 Differentiate 87*a**3*d**3 - 2*a**3 - 6*a**2 + 2*d**3 - 661*d**2 - 2*d with respect to a. 261*a**2*d**3 - 6*a**2 - 12*a What is the second derivative of -465*q**5 - 670*q? -9300*q**3 Find the third derivative of 915*h**3 - 1164*h**2 wrt h. 5490 What is the second derivative of -6*a**5*k - 459*a**3*k**3 + 2*a*k - 4*a - 19*k**3 + 2 wrt a? -120*a**3*k - 2754*a*k**3 What is the second derivative of 10*k**3*u**3 + 5*k**3*u**2 + k*u - 182*u**3 wrt k? 60*k*u**3 + 30*k*u**2 Find the third derivative of -122*h**6 - 9*h**4 - 6*h**2 - 42 wrt h. -14640*h**3 - 216*h Find the third derivative of -311*c**2*z**4 - 276*c**2*z**2 + c*z**4 wrt z. -7464*c**2*z + 24*c*z What is the second derivative of 4403*h**2 + 11245*h? 8806 What is the derivative of -577*v**3 - 12*v**2 - 1619 wrt v? -1731*v**2 - 24*v What is the third derivative of 39*h**4 - 88*h**2 - 1 wrt h? 936*h What is the first derivative of -9172*m**4 + m**3 + 9157 wrt m? -36688*m**3 + 3*m**2 What is the third derivative of 2303*o*r**3 - 3*o - 17*r**2 + r - 10 wrt r? 13818*o What is the third derivative of -16*d**3*h**3 - 18*d**3*h**2 - 11*d*h**5 - d*h**3 + 27*d*h**2 wrt h? -96*d**3 - 660*d*h**2 - 6*d Find the first derivative of 42*h**2 + 2*h + 307. 84*h + 2 What is the third derivative of -37*s**4 + 110*s**2? -888*s Find the second d
{ "pile_set_name": "DM Mathematics" }
n divisor of 454116 and 162786. 78 Calculate the highest common factor of 6030 and 245308842. 1206 What is the greatest common factor of 34328 and 86? 2 What is the greatest common factor of 27911739 and 113033? 1853 What is the highest common factor of 2014 and 848? 106 Calculate the highest common divisor of 180 and 4369869. 9 Calculate the highest common divisor of 4103272 and 113666. 706 What is the highest common factor of 88 and 849256276? 44 What is the greatest common factor of 58259 and 100878? 391 What is the greatest common factor of 74120950 and 15? 5 Calculate the greatest common factor of 7 and 201181. 1 Calculate the greatest common factor of 32 and 29263348. 4 What is the highest common divisor of 2588252 and 6169? 31 Calculate the greatest common factor of 951324 and 11. 11 Calculate the greatest common factor of 11485 and 12225. 5 What is the greatest common factor of 686 and 265160? 14 What is the highest common factor of 237973743 and 9? 9 Calculate the highest common divisor of 15 and 1275819. 3 What is the highest common divisor of 40 and 6662690? 10 What is the highest common factor of 4520 and 2880370? 1130 Calculate the greatest common divisor of 4804 and 87193801. 1201 Calculate the highest common factor of 1584 and 5703390. 198 Calculate the highest common factor of 2261176 and 621. 23 What is the highest common factor of 40 and 285568760? 40 What is the greatest common divisor of 111629 and 440818? 259 What is the greatest common divisor of 38149568 and 342? 38 Calculate the highest common factor of 37255153 and 1391. 1391 Calculate the greatest common factor of 49 and 34929503. 49 What is the greatest common divisor of 309430 and 113245? 1595 What is the greatest common divisor of 22 and 552642? 2 Calculate the highest common divisor of 27716 and 69033627. 6929 Calculate the greatest common divisor of 38 and 91121416. 38 What is the greatest common factor of 54677 and 68255? 73 Calculate the greatest common divisor of 75718926 and 6. 6 What is the highest common factor of 9827 and 76725? 31 Calculate the highest common factor of 32718 and 120786. 246 What is the highest common factor of 25778430 and 45? 45 What is the highest common divisor of 2040 and 1888680? 120 What is the greatest common factor of 690687041 and 9658? 4829 What is the greatest common divisor of 38397646 and 154? 14 What is the greatest common divisor of 239540 and 1624580? 580 What is the highest common factor of 27715860 and 50? 10 Calculate the highest common divisor of 2765 and 59645. 395 Calculate the highest common divisor of 8418 and 97842. 138 Calculate the greatest common divisor of 552 and 7065784. 184 What is the greatest common divisor of 2064 and 34048776? 1032 Calculate the greatest common divisor of 2880 and 782506944. 576 What is the greatest common factor of 52 and 519141194? 26 What is the highest common divisor of 25594 and 250178? 134 What is the greatest common divisor of 108 and 26851014? 54 Calculate the highest common divisor of 103451067 and 4311. 4311 What is the greatest common divisor of 3712 and 19649878? 58 What is the highest common divisor of 42625 and 1240? 155 Calculate the greatest common factor of 51015 and 2231056. 3401 What is the highest common factor of 30060 and 1197891? 1503 Calculate the greatest common divisor of 35669301 and 8635. 157 Calculate the highest common factor of 18 and 24332972. 2 Calculate the greatest common factor of 130 and 780410. 10 Calculate the greatest common divisor of 678760387 and 917. 131 Calculate the greatest common divisor of 494505957 and 9844. 2461 Calculate the highest common divisor of 214353 and 278772381. 12609 What is the greatest common divisor of 825 and 6872325? 75 Calculate the greatest common divisor of 489 and 3916564. 163 Calculate the greatest common divisor of 243860968 and 13. 13 Calculate the highest common divisor of 59890528 and 552. 184 What is the highest common factor of 15212255 and 235? 235 What is the greatest common divisor of 1659930 and 12? 6 Calculate the greatest common divisor of 11253 and 5743749. 363 What is the greatest common divisor of 15345528 and 44? 44 Calculate the highest common factor of 2889412 and 4. 4 What is the highest common factor of 16713697 and 1298? 649 What is the highest common divisor of 50513996 and 762? 254 Calculate the greatest common factor of 84 and 131732832. 84 What is the highest common divisor of 360 and 948411? 9 Calculate the highest common factor of 21527551 and 33041. 893 What is the greatest common divisor of 1137794700 and 294? 294 What is the greatest common factor of 572044 and 176? 44 What is the greatest common factor of 486 and 43908? 6 Calculate the greatest common divisor of 555 and 13932615. 15 What is the highest common factor of 368009 and 6797? 971 What is the greatest common divisor of 32143212 and 10944? 684 What is the highest common factor of 2426450 and 12350? 650 Calculate the greatest common divisor of 177 and 13102. 1 What is the greatest common divisor of 145860 and 105859? 221 What is the greatest common divisor of 30955 and 37297? 151 What is the highest common factor of 110675 and 359200? 25 What is the greatest common factor of 7784 and 172248244? 3892 What is the highest common factor of 14598 and 59690411? 811 What is the highest common factor of 3009 and 36827151? 3009 What is the greatest common factor of 180195768 and 24? 24 Calculate the highest common divisor of 8027 and 12681613. 349 Calculate the greatest common divisor of 5324 and 718696. 44 Calculate the greatest common divisor of 5082 and 246150300. 726 What is the greatest common divisor of 15262678 and 258? 86 Calculate the greatest common factor of 168700 and 13300. 700 Calculate the greatest common factor of 1680 and 38471536. 16 What is the highest common divisor of 6024 and 697126396? 1004 Calculate the highest common factor of 45229234 and 1492. 746 Calculate the highest common factor of 767 and 20250216. 59 Calculate the highest common divisor of 368904 and 966872. 152 Calculate the greatest common factor of 267527 and 13351. 169 What is the greatest common divisor of 62451 and 16194855? 771 What is the greatest common divisor of 16892 and 18169406? 206 What is the greatest common factor of 202002 and 1360558? 514 What is the highest common factor of 107800546 and 3031? 3031 Calculate the highest common divisor of 47809222 and 19984. 2498 What is the greatest common factor of 31573880 and 4160? 520 Calculate the greatest common divisor of 541565556 and 469. 469 What is the highest common factor of 201 and 27349869? 201 Calculate the greatest common divisor of 140 and 199321580. 20 What is the highest common factor of 312 and 31893? 3 What is the highest common factor of 769625 and 375577? 6157 What is the greatest common factor of 295720912 and 64? 16 Calculate the highest common divisor of 26940 and 286320. 60 Calculate the highest common factor of 20055 and 222405. 15 What is the highest common factor of 11003448 and 36? 12 Calculate the highest common divisor of 15821080 and 86920. 1640 Calculate the greatest common factor of 152 and 12549557. 19 What is the greatest common factor of 409 and 29319574? 409 What is the greatest common divisor of 52 and 94710356? 52 Calculate the highest common divisor of 15255 and 8910615. 1695 What is the highest common factor of 20793883 and 1502402? 15983 Calculate the highest common factor of 5680103 and 4784. 299 What is the highest common divisor of 176409 and 9792? 153 Calculate the greatest common divisor of 196373933 and 28303. 2573 What is the highest common factor of 224 and 190387456? 224 Calculate the greatest common divisor of 26343 and 7506. 9 What is the greatest common factor of 1481016 and 163944? 552 Calculate the highest common divisor of 3854813 and 38897. 401 Calculate the highest common factor of 5631000 and 20850. 150 What is the highest common divisor of 2459824 and 2396? 4 What is the highest common factor of 133247 and 126160? 19 Calculate the greatest common factor of 2806 and 720364738. 2806 What is the highest common divisor of 3356110 and 90? 10 Calculate the highest common divisor of 49078 and 12190. 106 What is the highest common factor of
{ "pile_set_name": "DM Mathematics" }
-b = -p + 70 + 80, -b + 140 = p. Suppose -11*l + 6*l + p = 0. Is l a multiple of 7? False Is 24 a factor of (2 + -147)*(-4)/10? False Suppose -2*m = -m. Suppose 2*y - 15 - 17 = m. Is 6 a factor of y? False Let k(a) = -7*a - 14. Let f be 12/54 - (-56)/(-9). Is 11 a factor of k(f)? False Let y = -6 + 3. Let q = y + 6. Is q a multiple of 2? False Let q = 9 + -6. Suppose u + q*u + 2*g + 22 = 0, 0 = -5*u + 4*g - 8. Let b(r) = -4*r - 1. Does 11 divide b(u)? False Let u(n) = -n - 8. Let f be u(-10). Let t be 1*(0 + 2 - -1). Suppose f*r + g = t, -2*r + 28 = -3*g - g. Is 2 a factor of r? True Let h be 0 + 2*22 + 2. Let r = h + -15. Suppose 0 = 5*c - 19 - r. Is c a multiple of 5? True Suppose 0 = -4*c - 2*f + 6, 10 = 3*f + 25. Suppose c*w + 4*j - 132 = 0, w - 33 = -j + 5*j. Is 7 a factor of w? False Let y = 35 - 30. Let l(z) = z + 7. Let f(b) = b. Let r(w) = 5*f(w) - l(w). Is 13 a factor of r(y)? True Let q(z) = -z**2 - 17*z - 14. Is 20 a factor of q(-10)? False Let l(g) = g**2 - 4*g - 7. Let x be l(6). Suppose -3*d - 17 = d + x*n, -2*d - 16 = 4*n. Let m(z) = -z**3 + 5*z**2 - 1. Is 11 a factor of m(d)? True Let j be (-8)/(-20) + (-4)/10. Suppose 0 = 3*v - j*v + 15. Let l = 0 - v. Does 3 divide l? False Let x(u) = u - 13. Let n be x(10). Let d = n - -6. Suppose d*c - 5 = 34. Is c a multiple of 13? True Let d(a) = -a**2 - 11*a - 16. Is d(-7) a multiple of 12? True Is (-29)/(-58) + 99/2 a multiple of 50? True Let k(p) = p**3 - 8*p**2 - 8*p - 5. Let v be k(9). Suppose v*z - 2*z = 18. Does 3 divide z? True Does 13 divide (-8)/80*530/4*-4? False Let t(f) = f**2 + 10*f + 2. Let z(r) = 1. Let a(v) = -t(v) - 5*z(v). Is 12 a factor of a(-7)? False Suppose -4*c = -4*t + t + 64, -58 = -2*t - 5*c. Does 24 divide t? True Suppose -4*c + 554 = q, -10 = 3*q - 8*q. Does 7 divide c? False Suppose 10*n - 11*n = -22. Is 4 a factor of n? False Let s = 0 + 2. Let h = s - 4. Is 9 a factor of h - (-24 - (-1 + 2))? False Let y(a) = -a**2 - 28*a + 12. Is y(-25) a multiple of 27? False Let u(l) = 4*l + 2. Let s be u(3). Does 16 divide 4/14 + 794/s? False Let d(x) = -x + 5. Let q be d(0). Suppose 0 = q*f - f - 260. Is f a multiple of 11? False Suppose -91 - 3 = -c. Is c a multiple of 27? False Let k = 22 + -38. Let b = k - -26. Does 6 divide b? False Let m = 3 - 1. Is 14 a factor of (-9 + 29)*(m + 1)? False Suppose 0 = 4*j - 0*j - 16. Suppose -j*v = -2*p + 30, -v - 28 = -2*p + v. Does 9 divide p? False Suppose -4*m + 20 = 4*c, -4*c - m + 15 = -2. Suppose c*a - 135 = -a. Is 9 a factor of a? True Suppose 0 = -4*b + 339 + 765. Is b a multiple of 46? True Suppose 11 = -3*u - 25. Let p = -9 + u. Let q = 11 - p. Does 11 divide q? False Let t(r) = r - 1. Let i be t(1). Suppose p - 29 - 2 = i. Is 11 a factor of p? False Suppose 3*d - 2*d = 0. Suppose 0 = 3*x - d*x - 132. Is 14 a factor of x? False Let s(i) = -i - 8. Let k be s(-10). Is 27 a factor of 217/8 - k/16? True Let w(q) = q**2 + 3*q - 9. Does 15 divide w(-9)? True Let d be (-1)/2*(0 + 0). Let j be (d - -2)/2 - -79. Let f = j - 53. Is 15 a factor of f? False Suppose -4*i + n - 2978 = 0, -i = -5*i - 5*n - 2966. Is i/(-22) - (-2)/11 a multiple of 19? False Suppose 3*z + 12 = -0*z. Let o(t) = t + 1. Let p(g) = -g + 4. Let v(f) = z*o(f) + p(f). Is 15 a factor of v(-6)? True Suppose 8*s - 3*s - 5 = 0. Is 2 a factor of 8 + (-5 - -3) + s? False Let i = -5 - 0. Let g = 5 + i. Does 2 divide (-2 + g)*20/(-8)? False Suppose -2*r = -2*l - 6 - 38, r = 2*l + 23. Does 21 divide r? True Suppose 2*k - 3*y = 7*k - 353, 4*y = 5*k - 346. Is 14 a factor of k? True Let o be (1 + -2)/(4/(-12)). Suppose 4*b - 4*r = 88, b + 5*r + 56 = o*b. Does 9 divide b? True Suppose 7 = 4*l + 19. Let d = l + 7. Suppose -2*t - 4*s + d = -3*t, 0 = 4*t - 4*s - 20. Does 4 divide t? True Suppose r - 7 = -4. Is (288/4)/r - 0 a multiple of 10? False Let n = -79 - -139. Is 20 a factor of n? True Let u = -19 - -11. Let a = u + 10. Suppose a*r - 62 = -5*b + 9, 17 = b - r. Is 15 a factor of b? True Suppose 0 = -2*a + a. Let j be (-1 - (a + -13))/1. Is 10 a factor of (j/5)/((-4)/(-20))? False Let l(u) = u**3 - 7*u**2 - 11*u - 3. Let q be l(8). Let a = q - -59. Does 16 divide a? True Let s(i) = i. Let f be s(-3). Let k be (-1 - 5)/f + -5. Let c = 6 + k. Is c a multiple of 3? True Is 6 a factor of (-224)/(-6) + (-2)/(-3) - 2? True Let k = -92 - -221. Does 12 divide k? False Suppose -2*f - 153 = -5*f. Is f a multiple of 26? False Let a = 6 + -6. Suppose 114 = 4*p - 2*w, 5*p - 2*w + w - 147 = a. Is 10 a factor of p? True Suppose 0*y = -3*y - 3*u + 54, 0 = -5*y - 3*u + 88. Suppose -c = 2*c + 2*d - y, -8 = -2*c - 3*d. Is 3 a factor of c? False Suppose 21 - 6 = 5*k. Suppose 2*m + 10 = 0, -5*o - 2*m - k*m - 10 = 0. Suppose 2*y - 2*s - 14 = y, 49 = o*y + s. Does 7 divide y? False Let w(x) = -x**2 - 6*x + 6. Let r(j) = 2*j**2 + 11*j - 11. Let l(f) = -3*r(f) - 5*w(f). Let k be l(-3). Suppose 0 = -2*p + k*p - 8. Is 4 a factor of p? True Let t be ((-2)/3)/((-8)/(-12)). Does 14 divide 13 + t + 3 - 1? True Let f(x) = -44*x + 10. Let b be f(-7). Suppose 5*h - 2 = 5*a + b, -h + 60 = a. Is 16 a factor of h? False Let b(v) = v**3 + 8*v**2 - v - 8. Let q be b(-8). Suppose -3*a - k + 11 = 0, q*a = -a + 4*k + 8. Is a a multiple of 4? True Suppose -5*z = -5*y + 180, 4 = -2*y - z + 91. Does 8 divide y? False Suppose -5*n + 2*p + 718 = 0, n + 3*n - 572 = 4*p. Is 12 a factor of n? True Let q(i) = -10*i - 54. Does 8 divide q(-9)? False Is 6 a factor of (78/6)/(1/2)? False Is (-20)/(-9) + (-4)/18 a multiple of 2? True Let n(g) = g - 7. Let s be n(9). Suppose 4 = -2*m, -l = 5*m + s - 9. Does 12 divide l? False Let c be -2 + -3*6/(-9). Suppose c = 3*g - 0*g - 9. Let x = g + 18. Is x a multiple of 9? False Let l(h) = -h - 7. Let d be (2 + 0)*1 + -11. Let g be l(d). Suppose -6 = -4*z + 2*u, -9 = g*z + 2*u - 7*u. Is 3 a factor of z? True Suppose -224 = -3*p - 5*k, -2*p - k = p - 208. Is 15 a factor of p? False Let t(a) = a**3 + 4*a**2 - 7*a - 6. Let i be t(-5). Suppose -4*f + 2*f = -4. Is 0 + 1 - (f - i) a multiple of 2? False Let k be ((-4)/12)/((-1)/(-15)). Let m(y) = y**3 + 4*y**2 - 6*y - 1. Let o be m(k). Suppose -o*u - 4 = -28. Is u a multiple of 6? True Is ((-12)/(-18))/(-1 - 737/(-735)) a multiple of 35? True Let q be (-112)/6 + 1/(-3). Let j = -7 - q. Does 4 divide j? True Does 12 divide (-1 - -1) + 30 + 6? True Let c(k) = -k**3 + 10*k**2 - 5*k + 8. Is c(7) a multiple of 15? True Let x = 0 + 4. Let j(f) = 12*f + 3. Let z be j(4). Suppose x*o = z - 19. Is o a multiple of 4? True Suppose 5*g - 89 - 81 = 2*z, 3*g = 5*z + 83. Does 9 divide g? True Let u be (9 + 0)*(2 + -1). Suppose -4*d = -3 - u. Suppose d*s = 9 + 12. Does 7 divide s? True Let z(x) = -x**2 - 5*x + 8. Let q be z(-6). Does 12 divide ((-124)/8)/(q/(-4))? False Is 9 a factor of (-33)/(-22)*(-278)/(-3)? False Let z(l) = l**2 - 6*l + 8. Let m be 1*6/9*3. Suppose 4*i - m*i - 12 = 0. Is 3 a factor of z(i)? False Suppose -3*h + 41 = -13. Does 8 divide h? False Let i(p) = p - 2. Let u be i(4). Let v be (-3)/u*2 - 2. Is 8 a factor of (v - 2)/(2/(-6))? False Let q(u) = u**3 - 4*u**2 + 5. Let n be q(4). Let x = 5 + n. Let w = -6 + x. Is w even? True Suppose -148 = -2*s + 2*g, s + 4*g - 67 = 27. Is 13 a factor of s? True Suppose 8*k - 840 = -4*k. Is 14 a factor of k? True Let q(c) = -c**3 - c**2 - c + 132. Let d be q(0). Let s = 33 + -114. Let y = s + d. Does 24 divide y? False Let v(w) = 8*w - 8. Let z be v(4). Suppose 0 = -2*s + 4*n + z, -s - 3*n = s - 17. Is s a multiple of 8? False Suppose 18*g - 15 = 17*g. Is g a multiple of 13? False Is ((-52)/(-78))/(-2*(-2)/174) a multiple of 3? False Let x(d) = -2*d**2 + 3*d - 2. Let h be x(2). Let i = h - -42. Does 19 divide i? True Suppose 4*n - 42 = -5*d + 168, 0 = -n + 5. Does 9 divide (d/(-3))/((-8)/24)? False Suppose -2*x + 77 = -143. Is x a multiple of 22? True Let o be (-1 - 7)/(6 - 8). Suppose 0 = o*r, 5*w + 0*r + r = 130. Is w a multiple of 26? True Let m be (8/(-10))/(18/135). Is (-32)/m*9/6 even? True Suppose 5*i + 3*d - 140 = 0, 4*i + 6*d = d + 99. Does 8 divide i? False Suppose 0 = 3*i + 4*s - 59, -3*i + i - s + 41 = 0. Suppose -6*q - 36 = -2*q. Let g = i + q. Does 12 divide g? True Let f(u) = u + 22. Let d be f(0). Suppose -d = 4*o - 5*o. Does 5 divide o? False Suppose 0*x + 5*z = 4*x - 40, 2*x
{ "pile_set_name": "DM Mathematics" }
to one decimal place. 5.3 Let n = -533.3 + 5824. Round n to the nearest one thousand. 5000 Let o = 39.88 - 39.84056. What is o rounded to three decimal places? 0.039 Let a = -625.61 - -661.8. What is a rounded to the nearest ten? 40 Let o = -91 - -96. Suppose o*q - 83229 = 52721. Suppose w + 0*n + q = 2*n, n = -5*w - 136005. What is w rounded to the nearest 1000? -27000 Suppose 3*m + 3*n - 15 = -m, -m + 5*n = 25. Let h(o) = -1 - 2*o**2 + 3*o**2 + m - 2 - 12*o. Let l be h(-8). What is l rounded to the nearest 10? 160 Let c(v) = 137*v**2 - 39*v + 235. Let u be c(18). Suppose 3*x - 62096 = 4*w, -4*w - 62100 = x - 5*x. Let n = w + u. What is n rounded to the nearest 1000? 28000 Let y = 18 - 18. Suppose 0 = 5*i - 5, -3*i + 2 = -4*v - 17. Let f be (-3350)/((-2 + y)*2/v). What is f rounded to the nearest one hundred? -3400 Let o = 0.73552 + -0.73488747. Round o to 4 decimal places. 0.0006 Suppose 218940 = 3*x - 67710. Let d be ((-30)/7)/(21/x). Round d to the nearest one thousand. -20000 Let s = 249.03 - 2.03. Let q = -247.488 + s. What is q rounded to 2 decimal places? -0.49 Let b = -143 - -244. Let q = 137 - b. Let a = 36.00007 - q. What is a rounded to 5 dps? 0.00007 Let k = 117.292903941 - 117.293. Round k to 6 decimal places. -0.000096 Let d = -1343.6 - 30.4. Let p = -1373.9341 - d. What is p rounded to 2 dps? 0.07 Suppose -224*z - 165*z + 122*z + 211624200 = 0. What is z rounded to the nearest 10000? 790000 Let r = 370786 + -370813.0721. Let v = 27.1 + r. Round v to three decimal places. 0.028 Let x = 889.652 + 1.748. Let o = 1474 - x. What is o rounded to the nearest ten? 580 Let j = 30.464 + -10.753. Round j to the nearest integer. 20 Let r = 2877.7621 - -3.4379. Round r to the nearest one thousand. 3000 Let t = -20.7 + 8.7. Let w = t - -24.5. Let x = -12.4999919 + w. What is x rounded to 6 dps? 0.000008 Let y(s) = -2*s**2 + 34*s + 9. Let q be y(17). Let x be -4 + 0/1 + -15 + q. Let j be (x/4*50)/((-2)/(-64)). What is j rounded to the nearest one thousand? -4000 Suppose -57665 - 279295 = 36*w. Round w to the nearest 100. -9400 Let z be 7 - (-261025 + 1/(1*(-8)/64)). Round z to the nearest 1000. 261000 Let u be -4 - -7 - 15881339 - -3. Let o = 225905 + u. Let c = -10915428 - o. What is c rounded to the nearest one million? 5000000 Let k = 91333.042353 - 91333. Round k to 4 dps. 0.0424 Let n = -0.4512 + -1.04. Round n to one decimal place. -1.5 Let h = 0.729 - -491.271. Let x = h - 493.005. Round x to one decimal place. -1 Let h = -61.749 - 2.151. Let w = -126109.591557 + 126173.491. Let b = h + w. What is b rounded to 4 decimal places? -0.0006 Let f = -0.8 - 0.83. Let g = f - -1.58. What is g rounded to two decimal places? -0.05 Let o = -46 + 45.956. Let p = 3.384 + o. Let r = 1.97 - p. Round r to 1 dp. -1.4 Let u = -170 + 170.0000000256. Round u to seven dps. 0 Let f be 1*-1*-34197*10/(-15). Let s = f + 32418. Let u = s - 13820. What is u rounded to the nearest one thousand? -4000 Let d = 3259.6346 + -3258. What is d rounded to 1 decimal place? 1.6 Let m = -0.0066 + -10.9114. Let s = 0.602 - m. What is s rounded to 0 decimal places? 12 Let f = 0.4614 - 0.46147735. What is f rounded to six dps? -0.000077 Let z(u) = 402976*u + 9592. Let p be z(-17). Round p to the nearest 100000. -6800000 Suppose 5*t - 4*l + 23089484 = 0, 11709377 + 2144311 = -3*t + 3*l. Round t to the nearest 100000. -4600000 Let f = 2883 - 2882.99986914. Round f to five dps. 0.00013 Let p = 55.340022785 - 55.34. What is p rounded to 7 decimal places? 0.0000228 Let i = 23425.999920672 + -23426. What is i rounded to seven dps? -0.0000793 Let c = 222 - 229. Let n(w) = -884*w**3 - 3*w**2 + 11*w + 12. Let b be n(c). What is b rounded to the nearest 100000? 300000 Let x be (-12)/(-4)*(-14)/(-6). Let i(l) = 9*l + 437*l**2 - 27 + 332*l**2 - x*l + 0*l. Let p be i(-11). Round p to the nearest ten thousand. 90000 Let i = 26711237976.470622 - 1697.470622. Let n = i - 26711236149.99999907. Let c = n + -129. What is c rounded to seven decimal places? 0.0000009 Let v(p) = p + 12418074. Let d be v(0). Let x be -2*(-205467)/(-6)*-266 - 0. Let c = d - x. What is c rounded to the nearest 1000000? -6000000 Let p = -1885 - -1885.0000298. What is p rounded to 5 dps? 0.00003 Suppose f + 17 = i, 0 = -5*i + 7*i + 5*f - 62. Let c be 96/(-168) - (-4263012)/i. What is c rounded to the nearest ten thousand? 200000 Let s = 191.58 + 0.42. Let i = 21854633572.00000166 + -21854633380. Let t = i - s. Round t to six decimal places. 0.000002 Let j = 0.06 + -241.06. Let i = j - -241.00658. What is i rounded to 3 decimal places? 0.007 Let r = -56 + 55.949. Let y = 87.051 + r. Let b = y - 89.35. What is b rounded to 1 decimal place? -2.4 Let m = 460 + -1175. Let p = -715.00000177 - m. Round p to 6 decimal places. -0.000002 Let u = 305131 - 217658. Suppose -f - 12*f - 7962851 = 0. Let a = u - f. Round a to the nearest 1000000. 1000000 Suppose 66*i + 1195424 + 137710 = 0. What is i rounded to the nearest one hundred? -20200 Let u = 0.18 + 109.62. Let x = -115 + u. Round x to the nearest 10. -10 Let r(x) = 17*x - 8 - 42*x + 3*x**2 + 37*x + 28. Let d be r(-7). Suppose 3*f = 4*f - d. What is f rounded to the nearest ten? 80 Suppose -4*q + 0 = -5*z + 6, 4*q = -4*z - 24. Let t be z/(-9) - (-534)/27. Suppose -t*d + 1540 = -27*d. What is d rounded to the nearest 1000? 0 Let o = -0.77347631 + -72.22644469. Let v = -72.942 - 0.058. Let j = o - v. Round j to five dps. 0.00008 Let z = -483.28 - -462. Let i = 141.38 + z. Let c = i - 110. What is c rounded to the nearest integer? 10 Let i = -92.29387 + 0.18187. Let t = -91.907 + -0.093. Let u = t - i. What is u rounded to two decimal places? 0.11 Let r = -237.3362 - -8.3187. Let j = r + 229. What is j rounded to two dps? -0.02 Let z = -4.5 + 2.3. Let f = 2.135 + z. Let k = f + 0.06499946. Round k to 7 decimal places. -0.0000005 Let u(y) = 58894*y**2 - 17*y - 3. Let m be u(7). Suppose 16*b - 20*b = -m. Let o = b + -331421. Round o to the nearest 100000. 400000 Let p = 0.006 + 0.072. Let d = -58 + 57.87. Let t = d + p. What is t rounded to two decimal places? -0.05 Let t = 145669 + -306154. Let z = 160513.9998 + t. Let o = 29 - z. Round o to four decimal places. 0.0002 Let r = -56.649963058 + 56.65. Round r to seven dps. 0.0000369 Let m = 7207 - 7207.003954. Round m to four decimal places. -0.004 Let f = -57 + 56.926. Let n = f - -8.874. Let y = n - 8.84. Round y to 3 dps. -0.04 Let i = 3.83100491 + -3.8311. Round i to 5 decimal places. -0.0001 Let t = 2187416.70091 + -2187406. Let d = 10.4232 + 0.2768. Let n = d - t. Round n to four dps. -0.0009 Let j = 5.9 + 942.1. Let m = 13094209588.9999561 - 13094210537. Let o = j + m. Round o to five dps. -0.00004 Let x be (3 + -1 + -3)/((-14)/(-70)). Let c be -17*(0 - x - (-6 + 9)). Round c to the nearest 100. 0 Let r = 230.36 - 12.56. Let d = -168 + r. What is d rounded to the nearest integer? 50 Let s be (-2)/6*7/(28/(-96)). Let x = -3 - s. Let k be 4/(-22) + (-2728002)/x + 0. Round k to the nearest 10000. 250000 Let q = 2.84 - 2.849516. Round q to 3 dps. -0.01 Let a = 46894.866 - 46798. Let s = 0.366 - a. Let q = s - -114. Round q to the nearest integer. 18 Let f = 1769.713153 + -1769.7. Round f to three decimal places. 0.013 Let c = 6.426 - 4.5588. Round c to 2 dps. 1.87 Let o = 4229.3 + -4229.3000035658. What is o rounded to 7 dps? -0.0000036 Let w = 25239831 + -16357874. Let z = w - 12466957. What is z rounded to the nearest 100000? -3600000 Let u = -120 - 12. Let k be 4197592/(-44) - (-24)/u. Round k to the nearest 1000. -95000 Let x(m) = m**3 - 39*m**2 - 37*m. Let b be x(40). Let g be b/225*10*1*13350. Round g to the nearest ten thousand. 70000 Let d = -51.1235 - -51.04. Round d to 1 dp. -0.1 Let y(c) = -1157*c**2 - 105*c - 968. Let i be y(131). What is i rounded to the nearest one million? -20000000 Let q = -62 - -61.464. Let k = q + 547.536. Let f = k - 547.000614. Round f to 4 decimal places. -0.0006 Let h = -4948 - -4947.9932048. What is h rounded to 3 decimal places? -0.007 Suppose 266*j - 3554960000 = 229*j. Round j to the nearest one million. 96000000 Suppose 21*x - 510690 - 367950 = 0. Round x to the nearest 10000. 40000 Let r = -226.21 - -226. Let b = 1.04 + 5.45. Let z = r - b. Round z to 0 decimal places. -7 Let w =
{ "pile_set_name": "DM Mathematics" }
0 + sqrt(17) + -1)). -6*sqrt(17) - 1 Simplify -5*(sqrt(17) + -2 + sqrt(1377)). -50*sqrt(17) + 10 Simplify (-2*(sqrt(15)/(-5*2*sqrt(5)) + -1))**2. 4*sqrt(3)/5 + 103/25 Simplify (sqrt(425) + 1 - sqrt(17))**2*-3. -819 - 24*sqrt(17) Simplify -4 + (sqrt(272))**2*1 + 2. 270 Simplify (sqrt(2736)*-1)**2*-5 - (sqrt(2736)*1)**2*5. -27360 Simplify (sqrt(187) - -1*sqrt(187)*-1)/sqrt(11). 0 Simplify -3 + ((sqrt(125) - sqrt(125)*2) + sqrt(125) + -3 + 0)**2. 6 Simplify 2*(sqrt(13) + 1)*-1. -2*sqrt(13) - 2 Simplify (-1*sqrt(275) + 1 + sqrt(11)*-1)*1. -6*sqrt(11) + 1 Simplify 5 + 3 + sqrt(3)*3. 3*sqrt(3) + 8 Simplify 4 + sqrt(847)*1 + -5. -1 + 11*sqrt(7) Simplify (2 + (2*sqrt(304))**2 + -1)*-4. -4868 Simplify (sqrt(84)/sqrt(7) - sqrt(9)/(sqrt(30)/sqrt(10)))**2. 3 Simplify -6*(2*sqrt(51))/sqrt(3). -12*sqrt(17) Simplify (sqrt(21)/(sqrt(192) - -1*sqrt(192)))**2. 7/256 Simplify -3*-6*sqrt(68) + -3. -3 + 36*sqrt(17) Simplify (6*sqrt(121)/(sqrt(66)/sqrt(6)))**2. 396 Simplify (-4*((sqrt(117) - 1*sqrt(117) - sqrt(117)) + sqrt(117))/sqrt(9) + -5 + sqrt(91)/(-2*sqrt(7)))**2. 5*sqrt(13) + 113/4 Simplify sqrt(49)/(sqrt(7) + (sqrt(7) - sqrt(7)*3)*-1). sqrt(7)/3 Simplify -5*(sqrt(112) + sqrt(7))*-6. 150*sqrt(7) Simplify ((sqrt(84)*-2 + sqrt(84))/sqrt(2))/(-1*sqrt(294)). sqrt(7)/7 Simplify -4 + (sqrt(405) + -1)**2. -18*sqrt(5) + 402 Simplify 3 + sqrt(117)*-4. -12*sqrt(13) + 3 Simplify sqrt(272) + -2 + 4. 2 + 4*sqrt(17) Simplify sqrt(57)/(-3*1*sqrt(3) + sqrt(3)). -sqrt(19)/2 Simplify (0 + sqrt(2736) + -2)**2 + 4. -48*sqrt(19) + 2744 Simplify sqrt(20) + -5 + 4. -1 + 2*sqrt(5) Simplify (2 + 4*sqrt(396))**2. 96*sqrt(11) + 6340 Simplify (1*sqrt(847) - sqrt(847))*-3. 0 Simplify 5*(-1*sqrt(720) + sqrt(720))*2. 0 Simplify 1*(sqrt(5) + 1 + 1). 2 + sqrt(5) Simplify 4 + ((1 + sqrt(28)/sqrt(4))**2 - (3 + (sqrt(7) - (sqrt(175) - sqrt(7))) - sqrt(7))). 9 + 6*sqrt(7) Simplify (sqrt(19) - (sqrt(19) - (-1 + (sqrt(57)/sqrt(3) - sqrt(19))))) + (sqrt(1539) - sqrt(1539)*2). -9*sqrt(19) - 1 Simplify -5*(sqrt(75) + -4 - 2*sqrt(192)). 20 + 55*sqrt(3) Simplify -3*(sqrt(5) + 0)*5. -15*sqrt(5) Simplify (sqrt(42)/(-2*sqrt(2)))/(-4*(sqrt(7) + sqrt(7)*-3 + sqrt(7))). -sqrt(3)/8 Simplify (-5*(sqrt(77) - (sqrt(77) + -2*sqrt(77)) - sqrt(77) - sqrt(77)))/sqrt(11). 0 Simplify -1 + sqrt(27)/(-1*sqrt(9)*-6) + 3. sqrt(3)/6 + 2 Simplify (-5 + sqrt(700)*-2)**2. 200*sqrt(7) + 2825 Simplify (-4*(((sqrt(304) - -2*sqrt(304)) + 4 - sqrt(304) - sqrt(304)) + sqrt(304)))**2. 1024*sqrt(19) + 19712 Simplify 1*(sqrt(540)*-3)/((-2*sqrt(132))/sqrt(11) + sqrt(12)). 9*sqrt(5) Simplify sqrt(8) + -3 - ((2*sqrt(128))**2 - sqrt(128)). -515 + 10*sqrt(2) Simplify (sqrt(45) + -2 + -3)**2. -30*sqrt(5) + 70 Simplify 3*((sqrt(17) - ((sqrt(68)/sqrt(4))**2 + 1)) + sqrt(204)/(-2*sqrt(12))). -54 + 3*sqrt(17)/2 Simplify (0 + sqrt(1900) + 1)*-1. -10*sqrt(19) - 1 Simplify (sqrt(152) - ((sqrt(152) + (sqrt(152)*2 - sqrt(152) - sqrt(152)) - sqrt(152))*5 - sqrt(152)))/sqrt(8)*-5. -10*sqrt(19) Simplify 5 + (sqrt(25)/sqrt(80))**2. 85/16 Simplify (2*(sqrt(153) + sqrt(153)*-2))**2. 612 Simplify (-1 + sqrt(6050))*3. -3 + 165*sqrt(2) Simplify (-6*-2*sqrt(99))**2. 14256 Simplify (sqrt(117) + 0)**2 + (2*sqrt(832) + sqrt(13))**2. 3874 Simplify ((4*sqrt(68)/sqrt(2))/((sqrt(2) - sqrt(2)*-2*-4) + sqrt(2)))**2*-2. -136/9 Simplify -3*((sqrt(180) + 1 + sqrt(180) + 3)**2 + (-1 + sqrt(180) + 0 - sqrt(180))). -2205 - 288*sqrt(5) Simplify (-2*sqrt(2448) + -2 + sqrt(2448)*-1 + 0)**2. 144*sqrt(17) + 22036 Simplify (sqrt(19) + sqrt(19) + ((sqrt(209)*2)/sqrt(11) + sqrt(19))**2)*4. 8*sqrt(19) + 684 Simplify (((sqrt(833)*2 + sqrt(833))**2 - sqrt(833)) + 0)*-2. -14994 + 14*sqrt(17) Simplify (-2 + sqrt(208))*3. -6 + 12*sqrt(13) Simplify (-2*sqrt(425))**2 - (sqrt(68) - sqrt(68)*3)/sqrt(4). 2*sqrt(17) + 1700 Simplify 1*(sqrt(704) - (-5 + sqrt(704) + 0)). 5 Simplify (sqrt(180)*-2)/sqrt(9) + (-2 + -1*sqrt(80))**2. 12*sqrt(5) + 84 Simplify sqrt(1872)*-1 + sqrt(1872) + sqrt(13) + 1 + 1 + sqrt(13). 2 + 2*sqrt(13) Simplify 2 + (((1*sqrt(513))/sqrt(9))/(sqrt(243)*2 - sqrt(243)))**2. 181/81 Simplify (3 + sqrt(76) + 0)**2. 12*sqrt(19) + 85 Simplify -3 + (sqrt(252) + sqrt(252)*-4 + sqrt(252))**2. 1005 Simplify (sqrt(84) - -5*(sqrt(84) + sqrt(84)*-2))/(sqrt(12) - -2*sqrt(12)*-5). 4*sqrt(7)/9 Simplify (-5 + -3*sqrt(243))*1. -27*sqrt(3) - 5 Simplify sqrt(57)/sqrt(3) + 5 + sqrt(76) + -3 + sqrt(76). 2 + 5*sqrt(19) Simplify (sqrt(147)*-2)**2 - sqrt(15)/sqrt(5)*4. -4*sqrt(3) + 588 Simplify (sqrt(180) + 0 + 2*sqrt(80) + sqrt(80))**2. 1620 Simplify (3*sqrt(209)*-4)/(sqrt(11) - (sqrt(99) + (sqrt(99) + 2*sqrt(99) - sqrt(99)) - sqrt(99))). 12*sqrt(19)/5 Simplify (-1 + (sqrt(33)/sqrt(108) - 6*sqrt(176)))**2. 143*sqrt(11)/3 + 224975/36 Simplify -4*(-4*(-5 + sqrt(176) + 0))**2. -12864 + 2560*sqrt(11) Simplify -4 + sqrt(30)/sqrt(24). -4 + sqrt(5)/2 Simplify (-4 + -3 + sqrt(76) + -1)**2. -32*sqrt(19) + 140 Simplify (-3 + sqrt(1300) - sqrt(1300))*1 + sqrt(1300). -3 + 10*sqrt(13) Simplify (-1 + sqrt(500)*-2 + -2)**2. 120*sqrt(5) + 2009 Simplify -1 + (1*(sqrt(700)*1)**2 - ((sqrt(700) - (1 + sqrt(700))) + -4)). 704 Simplify -3 + sqrt(1216) + -2. -5 + 8*sqrt(19) Simplify sqrt(27)/(-4*sqrt(9)*1). -sqrt(3)/4 Simplify ((sqrt(6)*1)/sqrt(2) - (1 + sqrt(3) + 2))**2 - (2 + sqrt(6)/(-1*sqrt(2))). sqrt(3) + 7 Simplify 4 + (sqrt(108)*-2)**2 + (2*sqrt(108)*-6)**2. 15988 Simplify 6*(3*(sqrt(704) + -1 - sqrt(704)))**2. 54 Simplify -6*(sqrt(1377) + sqrt(17))*-5. 300*sqrt(17) Simplify (-6*sqrt(20)*1)/(-3*sqrt(4)*-2 - sqrt(4)). -6*sqrt(5)/5 Simplify 3*(1 + 0 + sqrt(3)). 3 + 3*sqrt(3) Simplify ((sqrt(17) + sqrt(425)*-2 + sqrt(17))*-1)**2. 1088 Simplify 0 + 1*sqrt(1700). 10*sqrt(17) Simplify (sqrt(112)/sqrt(4) + sqrt(7) + sqrt(112) + 3)**2*2. 84*sqrt(7) + 704 Simplify -5 + (sqrt(52)/(sqrt(12)/sqrt(3)) - 1*(0 + sqrt(13))**2) + 0. -18 + sqrt(13) Simplify (sqrt(143)/(-2*(sqrt(11) + sqrt(176))))**2. 13/100 Simplify (2 + (sqrt(832) + sqrt(832) + sqrt(832) + 0 + sqrt(832) + sqrt(832) + 0)**2)*6. 124812 Simplify (1*sqrt(2736)*-5*5)**2. 1710000 Simplify (sqrt(153) + -6*sqrt(153)*1 - 1*sqrt(153)*6)**2. 18513 Simplify 2*((1*sqrt(176) - sqrt(176))**2 + -4)*-6. 48 Simplify -3 + (sqrt(200)/sqrt(36) - sqrt(50)). -10*sqrt(2)/3 - 3 Simplify (1 + sqrt(396))*-2. -12*sqrt(11) - 2 Simplify sqrt(119)/(sqrt(7) - (sqrt(84) + (sqrt(84) - 2*sqrt(84)))/sqrt(12)). sqrt(17) Simplify (sqrt(684) + -1 - sqrt(19) - (0 + sqrt(19) + -1))**2. 304 Simplify (sqrt(35)/(sqrt(5) + sqrt(5) + (sqrt(5)*-2 - sqrt(5))*5 + sqrt(5)))**2. 7/144 Simplify (sqrt(153)/sqrt(36))**2 + sqrt(833) + 0. 17/4 + 7*sqrt(17) Simplify (sqrt(931) - ((-2*sqrt(931) - sqrt(931)) + -4) - sqrt(931))**2. 168*sqrt(19) + 8395 Simplify 1 + sqrt(325)*2. 1 + 10*sqrt(13) Simplify (-1*sqrt(3)*-2)**2 - (sqrt(12)*-3 - sqrt(12))**2. -180 Simplify ((sqrt(91)*-1)/sqrt(7) + sqrt(13) - sqrt(91)/(sqrt(14)/sqrt(2)))**2. 13 Simplify (2*sqrt(66)*-1)/(sqrt(42)/sqrt(7)*4). -sqrt(11)/2 Simplify (1 + -1*sqrt(171))**2. -6*sqrt(19) + 172 Simplify -4*sqrt(11)*-2*1 + 4. 4 + 8*sqrt(11) Simplify ((sqrt(204) + 2*sqrt(204))/sqrt(12))**2 - (5 + sqrt(17)*2). -2*sqrt(17) + 148 Simplify 2 + (sqrt(165)/sqrt(3)*4)/sqrt(11). 2 + 4*sqrt(5) Simplify 5*((sqrt(68)*-6 - sqrt(1377)*-2)**2 + 3). 3075 Simplify -1 + sqrt(325) + 2. 1 + 5*sqrt(13) Simplify sqrt(63)*1 + 4. 4 + 3*sqrt(7) Simplify (-2 + (sqrt(88)/sqrt(11) + sqrt(8))/sqrt(4))*1. -2 + 2*sqrt(2) Simplify (1 + sqrt(52)/sqrt(4) + -2*1*sqrt(13))**2. -2*sqrt(13) + 14 Simplify 0 + sqrt(147)*-2 + sqrt(147). -7*sqrt(3) Simplify -2 + (sqrt(500) - (sqrt(500) - sqrt(500)*1))**2 + sqrt(500). 10*sqrt(5) + 498 Simplify 4*((sqrt(5) + 1*sqrt(720))*1)**2. 3380 Simplify (sqrt(425) + -3)**2 - (sqrt(17) + (-6*sqrt(204))/sqrt(12)). -25*sqrt(17) + 434 Simplify -5*sqrt(171)/(sqrt(9) + sqrt(9)*2)*6. -10*sqrt(19) Simplify ((-1*sqrt(143) - sqrt(143))*-1)/sqrt(11) + 3. 3 + 2*sqrt(13) Simplify (sqrt(17) + 1 + sqrt(17) + -4)*-1. -2*sqrt(17) + 3 Simplify (sqrt(1008)*-3 + 5 + 2)**2. -504*sqrt(7) + 9121 Simplify ((sqrt(420)*-2)/sqrt(12))/sqrt(5). -2*sqrt(7) Simplify (-3*(-1 + sqrt(891) + 2 + sqrt(891)) + -3)**2. 648*sqrt(11) + 32112 Simplify (-1*(sqrt(112) + 1 - sqrt(112)) - sqrt(112) - (1*-1*sqrt(112) + sqrt(112))**2)*-4. 4 + 16*sqrt(7) Simplify (3 + 3 + sqrt(171))**2. 36*sqrt(19) + 207 Simplify (2 + (2*sq
{ "pile_set_name": "DM Mathematics" }
p**3 + 2*p - p**2 + 18*p**3 as y*p + b*p**2 + x + i*p**3 and give y. 2 Rearrange 0 + 0 + 3*k**2 + 4*k - 8*k to the form i*k + h*k**2 + r and give i. -4 Rearrange -14 - 7*k**3 - 3 - 10 + 6*k**3 to j*k**2 + q*k**3 + g + t*k and give q. -1 Express -7*h - 3*h + 93*h + 8*h in the form o*h + l and give l. 0 Express 3*v**3 - 4*v**3 - 9*v**3 + (4*v + 0*v - 3*v)*(2*v - 2*v + 2*v**2) - 6*v**3 + v**3 + 0*v**3 as s*v + r + d*v**3 + a*v**2 and give d. -13 Rearrange (2 - 7 + 3)*(2*x - 3 + 3)*(2*x**2 + 0*x**2 - x**2) to i*x + g*x**3 + l*x**2 + m and give g. -4 Rearrange -51*q + 20*q**2 + 49*q + 0 + 1 to g*q**2 + j + w*q and give j. 1 Express -4*d - 4*d**4 + 7*d + 2*d**4 + 2*d**2 - 2*d in the form k + g*d**2 + q*d + f*d**3 + u*d**4 and give u. -2 Rearrange -3*f**3 + 0 - 4*f**2 - f**4 + 4*f**3 - 8 + 7 to the form z*f**4 + i + w*f + a*f**2 + s*f**3 and give i. -1 Express (-3 + 2 - 1)*(0 + 0 - 2*q) - 2*q + 5*q - q + 13*q + 33 + 30 - 65 as z*q + u and give u. -2 Rearrange -m - 4 + 4 + (-5 + 5 - 2*m)*(-1 - 1 + 0) + (5 + 2 - 4)*(-4 + 3 + 3)*(-5*m + m + m) to f + h*m and give h. -15 Express (2*v - v - 2*v)*(4 + 0 - 5) + (-3 + 2 + 4)*(-6*v - 7*v + 5*v) in the form p*v + o and give p. -23 Express -8*n**2 + 7*n**2 + 8*n**2 in the form l + v*n + q*n**2 and give q. 7 Rearrange 7*b**4 - 2*b**2 - 2*b**2 - 3*b + 2*b**2 + 3*b**2 to m + s*b**4 + p*b**2 + g*b**3 + h*b and give s. 7 Express -2*b**2 - 4*b**4 + 4*b**3 - 2*b + 2*b**4 + 10 + 4*b**4 - 15 as r + z*b**3 + i*b + d*b**2 + l*b**4 and give r. -5 Express (6*o - 2*o - 3*o)*(-2 + 8*o - 9*o + 5) + (2*o - 4 + 4)*(o - 4 + 4) + 2*o**2 + 0*o**2 - o**2 as n + i*o + d*o**2 and give d. 2 Express 2*m**2 + 2 + 16*m**3 - 14*m**3 - m - 2*m**4 + 0*m**4 as x*m**4 + l*m**2 + w*m**3 + u + y*m and give u. 2 Rearrange -655 + 655 + 53*d to u*d + h and give u. 53 Express -4*s**4 - 2*s**4 + s**2 + 6*s + 6*s**4 + s**3 - 2*s**4 as z + b*s**4 + c*s + v*s**3 + a*s**2 and give v. 1 Express -10*l + 9 - 9 as b + j*l and give j. -10 Rearrange (v - v - 2*v)*(v - v + 5*v)*(2 - 2 - 8 + (-4 - 1 + 3)*(-2 + 7 - 3)) to the form i + w*v + b*v**2 and give b. 120 Express 3*h**3 - 2*h**3 - 2*h**3 - 3*h**3 - 10*h + 10*h + (2 - h - 2)*(h**2 + 3*h**2 - 2*h**2) + 2*h - 2*h - 5*h**3 as z + y*h**2 + a*h**3 + j*h and give a. -11 Rearrange (-5 + 6 + 3)*(663 + 2*x - 663) to o*x + i and give o. 8 Express 3*o + 21*o - 8*o in the form a*o + w and give w. 0 Rearrange (-2 - 1 + 1)*(-13 + 4 - 1)*(-i + 0*i + 0*i) to p*i + q and give p. -20 Express 2*v - 2*v**2 - 2*v + 314*v + 102*v**2 - 314*v + (3*v - 3*v + v)*(-3*v + 3*v + 2*v) in the form l*v + m*v**2 + i and give m. 102 Express (2*w - 2*w + w)*(1 - 1 - 1) + 4*w - 5*w - 2*w - w - 3*w + 2*w in the form q + o*w and give o. -6 Express 2306*j - 2306*j + 172*j**2 in the form s + g*j + w*j**2 and give w. 172 Rearrange (3 + 4 + 2)*(i**2 - 2*i**2 + 2*i**2) + 1 - 1 + 9*i**2 to q*i + f*i**2 + w and give f. 18 Express -2 - 4*q**2 - 4*q + 0*q**2 + 2*q**4 + 5*q**2 + 13*q as r*q**2 + k*q**3 + w*q**4 + v + d*q and give k. 0 Rearrange -8*c**2 + 4*c**2 + 4 + 3*c**2 - 2 to z*c + k*c**2 + b and give b. 2 Express -5 - 3*z**2 + 3*z**2 + 100*z**3 + 7 in the form k*z**2 + c*z**3 + b*z + p and give k. 0 Express (0 + 1 + 0 + (5 - 4 + 1)*(-2 - 16 - 2))*(-1 - z + 1) as s + d*z and give d. 39 Rearrange (-8*m**2 + 21*m - 21*m)*(-6*m + 10*m + 2 - 3) to r*m + y*m**2 + p + n*m**3 and give n. -32 Rearrange 2*r + 9*r - 3*r - 2*r to the form o*r + v and give o. 6 Express 0*g**4 - g**4 - 2 + 8*g**2 + 1 + 2 in the form w + d*g**4 + q*g**3 + x*g + z*g**2 and give w. 1 Rearrange -i**4 - i**4 - 1 + 3*i + 137*i**2 - i**3 - 4*i - 140*i**2 to k*i**2 + h*i + q + y*i**3 + m*i**4 and give k. -3 Rearrange 5 + 2*t**3 + 5*t**3 + 4*t**3 - 4 to the form r*t**2 + n*t**3 + a + x*t and give n. 11 Rearrange (3 + 2 - 6)*(0*y + 4*y - 2*y) + 0 + 4*y + 4 - 3*y + (-2 + 2 - 2)*(-2*y - 3*y + 3*y) to the form b + h*y and give b. 4 Express (3*l + 0*l - 2*l)*(1 + 0*l**3 - 3*l**3 + 2) as g + v*l**3 + w*l**2 + n*l + s*l**4 and give v. 0 Rearrange 12*o + 2*o**2 + 13*o + 21*o - 38*o to b*o**2 + z*o + q and give b. 2 Rearrange -4*j**2 - 4*j + 2*j**2 - 2*j**4 + 6*j + 2*j**3 to the form i + y*j + b*j**3 + t*j**2 + z*j**4 and give z. -2 Rearrange -12 - 9*i**3 - 11*i**3 + 19*i**3 + 4 to q + o*i**2 + k*i**3 + l*i and give q. -8 Express (3*w**4 - 3*w**4 - 2*w**4)*(2 - 7 + 1) + (2 - 2 - 2*w**3)*(-2*w + w + 3*w) - 3 + 3 - 2*w**4 as r*w**2 + y + k*w + a*w**3 + o*w**4 and give y. 0 Rearrange -u**2 - 31*u**3 - 6*u**3 - 20*u**3 - 2*u to the form d*u + o*u**2 + b + y*u**3 and give y. -57 Express (-1 - 2 + 4)*(u + 0*u + u) - 3*u + 4*u + 0*u - 8*u + 417 - 417 + 38*u as j*u + a and give a. 0 Rearrange 4*a - 9*a - 3*a to the form z*a + n and give z. -8 Rearrange -4 - x**2 + 3*x**2 + 4 + 10*x to n*x + z*x**2 + r and give z. 2 Express (22*l**2 + 23*l**2 - 46*l**2)*(-l**2 + 2 - 2) - 3*l**4 + 5*l**4 - l**4 in the form m*l + i*l**4 + o*l**3 + r*l**2 + k and give i. 2 Express -56 + 2*h + 20 + 32 as r + x*h and give x. 2 Express -2*k**3 + 3*k + k**3 + k**4 + k**3 - 3*k**3 in the form t*k**3 + o + b*k**4 + z*k + v*k**2 and give z. 3 Rearrange 9 - 218*t**3 + 0*t + 2*t + 219*t**3 to v*t**2 + f + c*t + o*t**3 and give c. 2 Express u**2 - 2*u**2 + 3*u**2 + (-1 + 5 - 8)*(-2*u + 2*u - 2*u**2) as f*u + w + m*u**2 and give m. 10 Rearrange 2*a + 32*a**2 - 56*a**2 + 28*a**2 to w + m*a + n*a**2 and give n. 4 Rearrange 16 + 2*d**2 - 50 - 2*d**2 - 2*d**4 - 3*d to the form n*d**2 + i*d**3 + h + l*d**4 + k*d and give l. -2 Rearrange 0*z + 183 - z**3 - 4*z - 176 to the form c*z**2 + i*z**3 + j + y*z and give i. -1 Rearrange o + o - o - 1 - 1 - 6*o + 1 + (-o - 2*o + 6*o)*(-2 - 5 + 4) to g + y*o and give y. -14 Express (23 + c + c - 26)*(-2*c**2 - 2*c**3 + 2*c**2) in the form v*c + a*c**2 + w*c**4 + o + x*c**3 and give x. 6 Express -3*i**2 - i - i + 7 + 2*i as d*i + h + r*i**2 and give h. 7 Express 76*b - 98*b - 113*b in the form y + p*b and give y. 0 Express -w**3 + 0*w**3 - 7*w + 2*w**3 - 4*w as c*w**3 + m*w**2 + j + x*w and give c. 1 Express (0 + 8 - 3)*(2 + 2*k + 2 - 2) as g + r*k and give r. 10 Rearrange 223*i + 252*i - 342*i to r*i + z and give r. 133 Rearrange (2*v**2 - 1 + 1)*(0 + 2*v**2 + 0) - 7*v**2 - v**4 + 5*v**4 + 6*v**2 to r*v**2 + u*v**4 + g*v + x*v**3 + k and give r. -1 Express (3 + 3 - 1)*((6*s + s - 5*s)*(0 + s + 0) + s - s + s**2) as t*s**2 + z + a*s and give t. 15 Rearrange 7*q - 562 + 562 to the form j + l*q and give l. 7 Rearrange (u - 2*u + 3*u)*(-2*u + 28*u - 12*u) to the form t + w*u + r*u**2 and give r. 28 Express 28*k - 20*k + 31*k - k**2 in the form i + d*k**2 + m*k and give m. 39 Express 4*h - 6*h + h - 2*h in the form r*h + z and give r. -3 Rearrange 3 - 119*i**2 - 6*i**3 + 62*i**2 + i + 60*i**2 to j + w*i**2 + a*i**3 + y*i and give a. -6 Rearrange (0*h + h - 2*h)*(13*h + 3 + 4*h - 16*h) to d*h**2 + n*h + g and give d. -1 Rearrange -509*r**2 + 2*r + r**4 - 3*r**3 - 2*r**4 + 511*r**2 to q*r**3 + t*r**2 + w + v*r**4 + a*r and give t. 2 Rearrange -24*p**4 - 12*p**2 - 17*p**4 + 2*p + 40*p**4 - 2*p**3 to the form n*p**2 + k*p**3 + c*p**4 + s + m*p and give k. -2 Rearrange -128*v + 84*v - 1 + 1 to the form b + t*v and give b. 0 Express (2 - 2 - 2*g)*(3 - 4 + 2) + 0*g + 3*g - 2*g + 10 - 11 + 2 - 45*g in the form w + n*g and give n. -46 Rearrange 2*m**4 + 4*m**4 + m**4 + (-4*m**3 + m**3 + 2*m**3)*(m + 5*m - 4*m) + m - m - 4*m**4 to n*m**2 + f*m + b*m**3 + k*m**4 + c and give k. 1 Express 249*j + 7 - 248*j + 0 in the form l*j + n and give l. 1 Express 4*b**3 - 3*b**3 - 3*b**3 + (0 + 0 + 2*b**2)*(-b - 3*b + 2*b) - 4*b**3 + 4*b**3 - 4*b**3 as c + w*b**2 + m*b**3 + n*b and give m. -10 Express 18*l**3 - 7*l**3 + 1 - 4 + 2*l**4 in the form p*l**2 + s*l**4 + b + o*l**3 + w*l and give o. 11 Rearrange (-f**3 + f**3 - f**3)*(132543 - 43*f - 132542 - 104*f) to the form m*f**3 + x*f**4 + i + n*f + l*f**2 and give m. -1 Rearrange ((1 - 1 + 2)*(-2 + 3 + 0) - 1 + 0 + 5)*(2*i + 0*i + 3*i)*(0 + 4 - 5)*(1 - 2 - 2) to the form m + l*i and give l. 90 Rearrange -10*v**2 - 2*v**2 + 6*v**2 to the form x*v**2 + f*v + h and give x. -6 Express (1 + 2*l + l - 2*l)*(5*l**2 - 5*l**2 + 4*l**2)*(1 - 2 + 3) in the form t*l**3 + v*l + q*l**2 + s and give t. 8 Express -s + 3*s - 4*s + (-4 + 2 + 6)*(-4*s + s + 0*s) - 3 + s + 3 in the form k + n*s
{ "pile_set_name": "DM Mathematics" }
= -898 - -905. Which is bigger: p or t? t Let c be 2/22*-2 + 2/11. Let m(z) = -z**2 - 8*z - 5. Let u(k) = -k**3 + 1. Let w be u(2). Let n be m(w). Which is smaller: c or n? c Let w(v) = v**2 + 2*v - 1. Let o be w(1). Let r = 71 - 68. Suppose -z + 21 = h - r*h, 5*h + o*z + 48 = 0. Is -9 != h? True Let n(t) = 28*t**2 + 7*t - 6. Let v be n(6). Let p be 4/22 + v/66. Let x be 3/(-2)*p/(-24). Is x <= -1/19? False Suppose -4*d + 4 = 0, -64*v + 3*d - 33 = -59*v. Let w be -1 - (1 - (0 + 0)). Is w at most as big as v? False Suppose 5*i + 4 = 14, -3*i - 309 = -5*c. Which is bigger: 64 or c? 64 Suppose 4*i - 3*x - 5 = -6, 3*i = -2*x - 5. Which is bigger: i or -1/565? -1/565 Let q be (-2 + 1)/1*-3. Which is bigger: 16/5 or q? 16/5 Let z be (-1)/(1*(8/(-10))/4). Suppose 5*d + 41 + 7 = -3*q, -z*q + 13 = -2*d. Is d less than or equal to -14? False Let t = -13155/7 + 262071/140. Let f = -2711/260 - t. Which is bigger: -3 or f? -3 Let s = -433213 + 640721431/1479. Let h = s + 10/51. Is -1 smaller than h? True Let f be (-13)/((-65)/24)*5. Suppose -c + 2*c = f. Let m be (-8)/c - 1/3. Is m less than -0.02? True Let s = -900.1 + 900. Let h = -1/31 + 77/465. Which is bigger: h or s? h Suppose -2*b - 2 - 4 = 0. Suppose q + 66 = -i, 3*q + 0*i = 2*i - 198. Let x be 55/q*(b - -1). Is 0.1 smaller than x? True Let u be (-94)/188 + ((-107)/(-6) - -1). Is 17 at most u? True Let t = 66 + -17. Let o = t - 46. Is 2 > o? False Let h = -114 - -87. Let w = -27.02 - h. Is w bigger than 0? False Let i be 2546/30 + 3/(-15). Let h = 85 - i. Is -8/7 at most as big as h? True Let r = 972 - 1091. Do r and -120 have different values? True Let k(z) = -z + 20. Let t be k(6). Which is smaller: t or 89/6? t Let c be (-4)/(-10) - 208/470. Let b = -22 - -34. Suppose 4*h = -4*a + b, 3 = a - 3*a + h. Which is greater: c or a? a Let k = -380/9 + 42. Which is bigger: k or 0.6? 0.6 Let y(t) = t**3 + 12*t**2 + 14*t - 50. Let a be y(-10). Are 28/3 and a unequal? True Let t(v) = -v**3 - v**2 + v. Let j(z) = -z**3 + 7*z**2 + z - 16. Let d(a) = j(a) - 2*t(a). Let u be d(-9). Is -7 greater than or equal to u? True Suppose -3*v = 4*t - 3, 3*t - 4*v + 3 + 1 = 0. Suppose 2*i + 2*k = -14, -5*k = 3*i + 42 - 11. Let o be 0 + 69/(-34) - i. Which is smaller: o or t? o Suppose -2*a - 26 = -0*a. Let t be ((-1)/a)/((-5)/10). Which is smaller: 1 or t? t Let s(i) = i + 2. Let y be s(19). Suppose 4*m + 11 = 3*w, -3*w - y = 4*m - 8*w. Are m and 1/6 unequal? True Let w(a) = 7*a - 1. Let q(h) = -6*h - 2*h + 9*h. Let c(z) = 6*q(z) - w(z). Let u be c(1). Is u > -2? True Let u be (0 - 10)/(((-36)/(-8))/(-9)). Suppose 5*v + 1 - 29 = 2*t, 0 = -3*v - 2*t + u. Which is smaller: v or 36/7? 36/7 Suppose 2*q - 5*j = 20, -30 + 12 = -4*q - j. Suppose 0 = 5*r - 4*r - q. Let i be (-6)/10 - 12/r. Which is smaller: -2 or i? i Let s(n) = -n**3 + n**2 - 2*n + 3. Let m be s(0). Is 13/7 greater than m? False Let k = -19.8 + 20. Which is smaller: k or 0.01? 0.01 Let q = -4/481 + -3215/18278. Do q and 0 have the same value? False Let p = -5 + 14. Let i = p - 8. Which is greater: i or 3/26? i Let j = -480 + 625. Which is greater: -1 or j? j Suppose -42*m - 3 = -87. Which is smaller: 37/13 or m? m Let r be ((-2)/(-20))/(7/(6 - -8)). Let m = -8 - -8. Let q = m - -0.04. Is r greater than q? True Let m be ((-5)/(-1270))/((-10)/200). Is m less than or equal to 1? True Let o(d) = d**2 - 3*d - 4. Let k be o(5). Let p be (-5)/(-10)*(0 - k). Which is bigger: p or 0? 0 Let i(b) = -b**3 + 6*b**2 - 7*b - 2. Let y be i(4). Let r be y/(-196)*(-20)/10. Let o = 103/245 - r. Is -2/13 less than or equal to o? True Suppose 2*r - 35 = -r - 4*w, r = -4*w + 25. Let h be (4/r)/(2/5). Suppose -2 - 2 = h*s. Which is smaller: s or 0? s Let m = 9 + -7. Is m != -0.51? True Let t = -4/57 - -31/171. Which is smaller: t or 0? 0 Let w be (-280)/(-700) - 784/1985. Which is smaller: -1 or w? -1 Suppose -23*o - 48 = -15*o. Which is smaller: o or -111/16? -111/16 Let s(i) be the first derivative of i**3/3 + 3*i**2 - 2*i - 2. Let j(r) = -2*r + 10. Let v be j(8). Let q be s(v). Which is bigger: -4 or q? q Suppose 2*h + 50 = -3*h. Let m be -1*137 - h/5. Let g = 951/7 + m. Which is bigger: g or 2? 2 Let x = -1436 - -10070/7. Is 4 at least as big as x? True Let t = 219/308 + 3/77. Suppose 0*h = 3*h - 9. Let b = h + -2. Which is smaller: b or t? t Let j be (-74)/(-3) + 2/(-3). Let f = j - 117/5. Let o = -247/33 - -23/3. Which is smaller: o or f? o Suppose 1591 = 15*k + 6061. Is k > -297? False Let p = 76 + -83. Is 9 <= p? False Let q = 30 - -77. Let k = q + -107. Is k < 1? True Suppose -37 = -3*g - 19. Let f(t) = 2*t - 17. Let w be f(g). Let c = -463/2 - -227. Which is smaller: c or w? w Suppose -5*v + 47 = -u, -2*v = -3*u - 6*v - 46. Is u >= -2? False Let w be (22/55)/(84/70). Which is smaller: -1481 or w? -1481 Let h(b) = b**2 - 6*b - 6. Let z be h(7). Let r be 8/(0 - 8) - (-50)/52. Is z != r? True Let l(b) = -b**3 - 7*b**2 - 3*b - 13. Let i be l(-7). Suppose -6*c + i*c = 2. Which is smaller: -2/93 or c? -2/93 Let r(g) = -g**3 + g**2 + g - 1. Let x be r(2). Let p be 35/55*x + 2. Suppose 2 + 18 = -5*c + 5*y, 0 = 4*c + 2*y - 2. Which is greater: c or p? p Let u(j) = j**3 - 5*j**2 - 3*j - 2. Let a be u(6). Let d(o) = o**2 - 15*o - 17. Let g be d(a). Which is greater: g or -4/3? g Let n = 485/8 - 9383/152. Let y = 386/57 + n. Which is greater: 7 or y? 7 Let m(n) = 6*n + 60. Let z be m(-10). Which is smaller: z or -2/529? -2/529 Let k be ((-21640)/3135 + -4)/((-8)/12). Let j = k - 177/11. Do 0 and j have the same value? False Let u = 24.08 + -27.08. Is -105 greater than u? False Let x = -65 - -67. Let u be (x/(-21))/((-4)/12). Which is greater: 2/15 or u? u Let z(k) = -2*k**2 + 17*k - 10. Let s be z(10). Is s >= -39? False Let q(u) = 3*u + 6. Suppose 0 = 5*c + c - 66. Suppose -16 = -k + 5*i, -4*k = 4*i + 21 + c. Let l be q(k). Which is smaller: -5 or l? l Suppose 12 - 2 = 2*w. Suppose -2*d - 25 = j, -5 + 20 = d - w*j. Let c(t) = t**3 + 10*t**2 - t - 7. Let b be c(d). Which is smaller: -1/4 or b? -1/4 Let i = 20.03 - 20. Let o = -31.7 - -35.67. Let g = o + i. Which is bigger: -1/5 or g? g Let l be 3 - (-4 + -1 - 6*(-1)/2). Suppose 5*p - p + 5*u + 13 = 0, 2*p - 4*u - 26 = 0. Which is greater: p or l? l Let j = 40 - 61. Let t = j + 21.004. Which is smaller: t or 0? 0 Let r(m) = -m**2 + 2*m + 1. Let z be r(7). Let q = 90 - 125. Are q and z non-equal? True Let o = -0.19 + -3.81. Let u = o + 2.8. Let s = u - -1.2. Is 1/2 greater than s? True Let h be (-14)/(-4) + 9/(-54). Let i = h + -17/6. Is 12 at least as big as i? True Suppose 5*v - 5 = 6*v, 5*g = v + 55. Are g and -26 non-equal? True Let g = 1066 - 1065. Is g not equal to 204/7? True Let g = -1 + 5. Suppose -h - 5*d + 12 = -3, -4*d = g*h - 12. Which is smaller: 1/16 or h? h Let n = 34/77 - 5/22. Suppose -p - 2 = -4. Suppose 0 = -4*t + 2*x - 2, p*t + x + 1 - 2 = 0. Which is smaller: n or t? t Let t = 0 - 0. Let l = -417/23 + 21963/1219. Which is smaller: l or t? l Let u = -14/87 - -997/5655. Is u greater than or equal to -0.5? True Suppose -10 = 2*c - 4*c. Suppose c*b - 3 = -33. Is b greater than or equal to -6? True Let b be 6/(-8) + 152/32. Suppose b*q - 10 = 6. Suppose n - 15 = -q*n. Which is greater: 2 or n? n Suppose 13 = -2*y - 5*a, a = -2*y - 2*a - 7. Is 2/117 >= y? False Let q = 1068 - 1069. Suppose -5*j + 34 - 5 = 2*b, j - 11 = -3*b. Is q less than b? True Let j = 0.511 - 0.011. Let z(b) = -b + 3. Let x be z(-3). Which is smaller: j or x? j Let q(t) = t**3 + 11*t**2 + 20*t + 12. Suppose 0 = o + 8. Let d be q(o). Which is greater: 43 or d? d Let a = -5 + 11. Let u = 29 + -11. Let r be (a/(-9))/(4/u). Is -3 at least as big as r? True Suppose 0 = -4*u - 2*n + 168, 2*n - 80 = -2*u - 0*u. Suppose 7*z = 3*z + u. Let b = -5 + 15. Is b less than z? True Let r(m) = -m**3 - m + 2. Let g be r(0). Suppose -15 + 30 = -3*h. Let n = h - -6. Which is greater: g or n? g Let d be (-524)/261 + (4 - 2). Is d smaller than -1? False Let r = 20 - 19. Is r less than -3/320? False Let t = 12 + -6. Let n = t + -6.1. Is n bigger than -0.05? False Let k = 978.9 - 977. Are 3 and k equal? False Let s be 1/(-2) + 7/(483/54). Let x = -1/322 - s. Which is smaller: x or -31? -31 Suppose 95*o = 32*o. Let m be 7 - 1/((-1)/(-2)). Let q = -8 + m. Which is bigger
{ "pile_set_name": "DM Mathematics" }
+ t = 31 + 128. Let b = q + -105. What are the prime factors of b? 7 Let h(j) = -j**3 + 6*j**2 - 4*j + 26. Let w be h(6). What are the prime factors of ((-365)/w)/(-1) + 6/(-12)? 2, 7, 13 Suppose -2*l - 16 = -6*l. Let u = 134 - l. List the prime factors of u. 2, 5, 13 Suppose 2363 = h + 308. List the prime factors of h. 3, 5, 137 List the prime factors of 4062*(51/204)/((-2)/(-4)). 3, 677 Let t = -14 - -17. Suppose 0 = 4*u + 4*a - 5*a - 137, -5*a = -t*u + 124. List the prime factors of u. 3, 11 Let c = 20 + -19. Let l be c/(-2) + (-25)/(-2). What are the prime factors of (-1)/(-2) - (-102)/l? 3 Suppose 4*y + 2*l - 944 = 0, 4*l - 4 = 6*l. What are the prime factors of y? 3, 79 Let n(g) = -3*g**3 - g**2 - g. Let q be n(-1). Let d(r) = 4*r**3 - 3*r**2 - r + 1. List the prime factors of d(q). 79 Let j(q) = 3*q - 6*q**2 + 5*q**2 - 4*q + 23. Let m = 0 - 0. What are the prime factors of j(m)? 23 Suppose -4*h + 0*r + 4*r + 4 = 0, 5*h - 11 = 3*r. Let b = h - -52. What are the prime factors of b? 2, 7 Let d = -1 - -57. What are the prime factors of d - (0 + (-3)/1)? 59 Let n(m) = 6*m - 1 + 5 + 2*m**2 - m**2. Let w be n(-7). Let j = w - 9. List the prime factors of j. 2 Let k = 144 + 195. List the prime factors of k. 3, 113 Suppose -2*s = 13 - 87. What are the prime factors of s? 37 Let a = -170 - -173. Let u(o) be the first derivative of -o**4/4 + 2*o**3 - 2*o**2 + 2*o - 1. What are the prime factors of u(a)? 17 Suppose m - l = 613, l = 8*m - 3*m - 3045. What are the prime factors of m? 2, 19 Suppose -420 = -g - 29. What are the prime factors of g? 17, 23 Let j(z) = -z**3 + 12*z**2 - 11*z - 18. Let t be j(11). Let p = t + 122. List the prime factors of p. 2, 13 Suppose 3*y + 0*c - 26 = -4*c, 2*y = 4*c - 16. Suppose -4*a = 16, -3*r - 7 + y = 2*a. List the prime factors of (-54)/(-3) - -3*r. 3, 7 Let l = 217 + 22. What are the prime factors of l? 239 Let g = -1438 - -2174. List the prime factors of g. 2, 23 Let r = 660 - 126. What are the prime factors of r? 2, 3, 89 Suppose 4*k - 1891 = -5*x, 0*x + 2*x - 2368 = -5*k. What are the prime factors of k? 2, 3, 79 Suppose -2*t - 60 = -7*t. Let c be (4/t)/((-2)/(-66)). Suppose c*b = 7*b + 200. What are the prime factors of b? 2, 5 Suppose -183*z = -188*z + 410. What are the prime factors of z? 2, 41 Suppose 5*z + 2*r - 4590 = 0, -4*z + 5292 = -2*r + 1620. What are the prime factors of z? 2, 3, 17 Suppose 5*y - 4*w = 11461, -337*w - 2293 = -y - 336*w. List the prime factors of y. 3, 7, 109 Suppose -5*f - f = -432. Suppose -5*k = k - f. What are the prime factors of k? 2, 3 Suppose -4*g = -3*o - 996, 4*g - 4*o = -5*o + 980. Suppose -8*t = -9*t + g. List the prime factors of t. 2, 3, 41 Let x be 1 + 4 + 3/3. Suppose -5*w + 14 = -x. Suppose -w*o + 132 = 3*n + 41, 2*o - 48 = -4*n. List the prime factors of o. 2, 11 Let z = -3 + 7. Suppose 40 = 5*p + 5*w, 3*w - 28 = -z*p + 7. Let d = 4 + p. What are the prime factors of d? 3, 5 Suppose 0 = 2*d - d - 2. Suppose 537 = 3*c + d*r, 4*c - c = -5*r + 546. List the prime factors of c. 3, 59 Suppose -14*k + 12*k = 82. Let w = k - -69. What are the prime factors of w? 2, 7 Let i(t) = t**3 - 5*t**2 - t - 2. Let d be i(5). Let y be (-1)/d - 209/(-7). Let h = y + -22. List the prime factors of h. 2 Let u be ((-9)/(-12))/((-2)/24). Let a(o) = -20*o**2. Let t be a(2). What are the prime factors of u/4*t/6? 2, 3, 5 Let u = 24 + -30. Let t(b) = -b**3 - 3*b**2 - 5*b - 8. List the prime factors of t(u). 2, 5, 13 Suppose -2*l + 5 = -3. List the prime factors of (-15)/(-10) - (-102)/l. 3 Suppose -208 = -2*r + 4*t, -16 = 2*t + 2*t. Suppose -g = -2*k + 56, -5*k - 4*g + 249 = r. What are the prime factors of k? 29 Suppose 2*g - 1 = 9. Let j(x) = -7*x**2 - 3*x + 53. Let m(h) = -10*h**2 - 4*h + 80. Let w(r) = g*m(r) - 7*j(r). List the prime factors of w(0). 29 List the prime factors of 5195/20 - (-5 - 38/(-8)). 2, 5, 13 Let d(t) = -t**3 - 9*t**2 - 2*t + 10. Let g be d(-8). Suppose 0 = -2*i - 0*i. List the prime factors of g/(-2) - (i - 3). 2, 11 Let k(g) = 280*g + 3. What are the prime factors of k(3)? 3, 281 Let w(x) = 2*x - 4. Let f be w(7). Let o = 15 - f. Suppose d + 4*q = o, -d = -5*d - 2*q + 76. List the prime factors of d. 3, 7 What are the prime factors of (-13 - (12 - 29))*673? 2, 673 What are the prime factors of 218/5*5/2? 109 What are the prime factors of (-21690)/(-24) + (-49)/28? 2, 11, 41 Suppose -2*o - o + 543 = 3*r, -2*o + 334 = -5*r. What are the prime factors of o? 3, 59 Let j be 110/4*(-2)/(-1). Let g(a) = 2*a**2 + 10*a + 3. Let f be g(-9). Suppose -5*n = -j - f. List the prime factors of n. 2, 13 Let d be (-16)/14*(-3)/((-33)/(-77)). Let n(q) = -15*q**2 - q + 7. Let j be n(-6). What are the prime factors of (j/(-68))/(2/d)? 31 Let k(s) = -s**3 - 34*s**2 - 96*s - 63. What are the prime factors of k(-31)? 2, 3, 5 Suppose -2*o = -6*o - 4*i + 96, 120 = 5*o + 3*i. Let p = 3 + o. List the prime factors of p. 3 Suppose -3*n = -6*n + 69. Let j = 0 + 3. Suppose 2*p = j*p - n. List the prime factors of p. 23 Let p = 73 + -65. Suppose -i - f = -263, -5*i + 1295 = -7*f + p*f. List the prime factors of i. 2, 3, 43 Let p(v) = -49*v - 11. What are the prime factors of p(-13)? 2, 313 Let x(z) = z - 7. Let k(g) = -6*g - 12. Let v be k(-4). Let y be x(v). Suppose 3*q = y*q - 78. List the prime factors of q. 3, 13 Let i(g) = -3 + g**2 + 5*g**2 - 4*g**2. Let m = 118 + -123. List the prime factors of i(m). 47 Let j = -1094 - -4828. List the prime factors of j. 2, 1867 Let t(g) = 2*g**2 + 7*g - 2. Suppose 3*b - 10 = -1. Suppose x - 4*k + 2 = 1, -2*k - 17 = b*x. List the prime factors of t(x). 13 Suppose 5*i + 0 = -75. Let s = i + -6. What are the prime factors of (-642)/s - 15/(-35)? 31 Let m = 418 - 134. List the prime factors of m. 2, 71 Let n(r) = r. Let f(p) = 27*p - 5. Let g(a) = -f(a) - n(a). List the prime factors of g(-3). 89 Let u(r) = -r**3 - 3*r**2 - 3*r + 7. What are the prime factors of u(-8)? 3, 13 Suppose j - 21 = -2*j. Let b = 10 - j. What are the prime factors of b? 3 Let q(w) = w**2 - 9*w + 3. Let u be q(7). Let y(p) = p**3 + 11*p**2 + p + 9. Let v be y(u). What are the prime factors of (5/(-15))/(v/114)? 19 Let q = -39 - -41. Suppose -q*h + 140 = -4*j, -2*h - 4*j + j + 147 = 0. List the prime factors of h. 2, 3 Let g = -471 - -1870. List the prime factors of g. 1399 Suppose 2*i = -0*i + 62. Suppose -51 - i = -k. What are the prime factors of k? 2, 41 Let b(f) = 21*f + 54. What are the prime factors of b(8)? 2, 3, 37 Let r be (-12)/10 + 1/5. List the prime factors of (-415)/(-10) - r/2. 2, 3, 7 Suppose 6*m + 10 = 4*p + m, 0 = -2*m + 4. Suppose k + 4 = 0, 2*j - 6*j - p*k + 144 = 0. What are the prime factors of j? 41 Let d(s) = 10*s**3 + s + s**2 - 2 + 2*s**2 - 11*s**3 + 3*s**2. What are the prime factors of d(-4)? 2, 7, 11 Suppose 8 = 3*s - 2*s. Let o = s + -5. Suppose 2*l - 50 = -2*l + o*h, 64 = 4*l + 4*h. List the prime factors of l. 2, 7 Let y(j) = -j**2 - 23*j + 17. Let g = 95 + -105. What are the prime factors of y(g)? 3, 7 Let h(s) = s**3 - 5*s**2 - 6*s + 2. Let m be (-54)/(-10) - (-8)/(-20). Suppose m*v - 6*v + 6 = 0. What are the prime factors of h(v)? 2 Suppose -4*v + 49 - 5 = 0. Suppose 6 = -v*b + 12*b. Suppose b = -3*n - r + 19, -4 = -4*n + 2*r. What are the prime factors of n? 3 Let r = 5 - -38. Let p = 77 - r. What are the prime factors of p? 2, 17 Let o = 20 - 5. Let l = 214 + -200. Suppose 0 = f - 3*v - o - l, -5*v = 5*f - 65. What are the prime factors of f? 17 Let j be (0/12)/(0 - 1). Suppose -6*z + z + 540 = j. What are the prime factors of z? 2, 3 Suppose -2*l + 4*h = 6, -l = l - 3*h + 4. Suppose l = 5*x - 4, -s + 2*x = -29. Let y = s + -12. List the prime factors of y. 19 Let d = 26 + -24. Suppose -3*a = j - 94, -d*a - 196 = -2*j + 16. What are the prime factors of j? 103 Suppose 1143 = 9*x - 2475. List the prime factors of x. 2, 3, 67 Let g = 40 - -1484. Suppose i - 193 = 3*p, g = 5*i - 2*p + 494. What are the prime factors of i? 2, 13 What are the prime factors of (-1 + 3)*1814*(-6)/(-24)? 907 Suppose 2*q = -d + 100, -3*d + 4*d - q - 109 = 0. List the prime factors of d + -3 + (3 - 4). 2, 3, 17 Let t(z) = 2*z**3 - 4*z**2 + 4*z - 1. Let b be t(3). Let m = 51 - b. List the prime factors of m. 2, 11 Let l = 0 + 9. Suppose -6*x + l*x - 21 = 0. Let j(w)
{ "pile_set_name": "DM Mathematics" }
*b + 4, -3*o = f*b + 5 for o. -3 Let c be (3/(-3))/((-1)/(-269)). Let u = -269 - c. Solve -v + u*v + 6 = -4*o, 6 = -v - 2*o for v. -2 Let u(g) = -20*g**2 + 1100*g + 5. Let z be u(55). Solve 26 = -z*c + a, -2 + 6 = 4*a for c. -5 Let i(n) = n**3 - 66*n**2 - 5*n + 370. Let r be i(66). Solve -4*o - r = 87*a - 91*a, -3*o - 10 = a for o. -5 Let u(r) = 2*r**3 - 9*r**2 - 6*r + 9. Let d be u(5). Suppose d*h - 5 = 3*l + 10, 0 = h - 2*l - 10. Solve 0 = -2*z + 6, t + z - 4 = -h for t. 1 Suppose -57*p + 55*p + 8 = 0. Suppose p*a - 38 = -2*c, -2*a - 3*a = 2*c - 43. Suppose -14 = -10*k + c*k. Solve 2*w - 4 - 1 = 5*d, -k = -4*d - 2*w for d. 1 Suppose 22*x - 60 = -8*x. Suppose 0 = x*r - 10, -5*k + 6 + 4 = -3*r. Solve -k*c + 10 = -4*c - 4*b, 4*c - 6 = -b for c. 2 Let v(x) = x**3 - 7*x**2 - 27. Let r be v(8). Suppose -r = -5*a - 4*p, -2*p - 22 = -2*a - 0*a. Solve a = 4*q - d, d + 2*d + 3 = 0 for q. 2 Suppose 0 = -4*y - 2*v + 14 + 22, 6*y = 3*v + 102. Solve i = -w + 1, y*w - 8*w + i + 15 = 0 for w. -4 Suppose -30 = -j - 4*r, -3*j - 133*r + 134*r = -38. Solve -6*k = -10*k - 4*n - 24, -4*k + n = j for k. -4 Let q = 3369 + -3364. Solve 6 = 2*x - 0*w - w, -3*w = -q*x + 16 for x. 2 Suppose -240 = -4102*c + 4087*c. Solve 5*a - 19 = -3*k, 4*k = -a - a + c for a. 2 Suppose 2*n - 58 = -4*k, 4*n + k - 65 = 16. Solve 20*o - n*o = -4*y + 25, 5*y - 5 = 4*o for o. 5 Let y(j) = -5*j**2 - 12*j - 101. Let v be y(-8). Let h = 328 + v. Solve -2*l = -3*p - h*l + 6, 0 = -4*p - l + 9 for p. 3 Suppose -24*q - 41*q = -328 - 192. Solve -q = 58*a - 60*a - 2*g, 5 = 5*a + 2*g for a. -1 Suppose 9 + 1 = 5*u. Let o = u + 0. Let v = 18910 - 18910. Solve v*t - 4*z = t + 8, -o*t - 5*z = 13 for t. -4 Suppose 4*g = 2*t - 0 + 6, 0 = 3*t + 2*g - 15. Solve 2 = 2*v + t*v + 2*m, -v = -2*m - 10 for v. 2 Suppose 3*q = 4*q + 4*q. Suppose q = 11*i - 8 - 14. Solve -5*n - 3 = -i*o, 0 = -5*n + 7 - 2 for o. 4 Let h(n) = -n**3 - 109*n**2 - 110*n - 210. Let u be h(-108). Solve -2*o - 3*m + u = 0, -7*o + 5*o + 8 = 4*m for o. 0 Suppose 35 = -7*c + 12*c. Suppose -c*m + 6*m + 12 = 0. Let v be (-1)/((-2)/m*3). Solve -v*b - 4*u + 4 = 0, 5*u - 2 = -4*b - 0 for b. -2 Let b(h) = h**3 + 3*h**2 - 6*h - 6. Let g be b(-4). Let o = 45370 - 45363. Solve r + m = 1, 3*m = -r + g*r + o for r. -1 Suppose 2*q = l + 1008 - 1009, 5*l = 5*q + 5. Solve 5*x + q*t = 2*t + 9, 0 = 4*t - 12 for x. 3 Let f(h) be the second derivative of 0 + 3*h**2 + 4*h - 1/20*h**5 - 5/6*h**4 - 1/6*h**3. Let d be f(-10). Solve 0 = -4*x - z - d, 11 - 4 = -x - z for x. -3 Suppose -3*k - 65 = 70. Let u = k - -52. Solve -2*c + 2 = -h - u, -3*h - c = 13 for h. -5 Let g be 4/32*-4 + 6/4. Let b be (22 - 6)*(g - 0). Solve -b = 5*m + 2*l, -m - l + 10 = -5*l for m. -2 Suppose -14*i - 4*i + 72 = 0. Solve 3*l + 3*w - 1 = i*w, 3*l + 5*w = 13 for l. 1 Suppose -5*b - n - 87 - 6 = 0, -21 = 2*b - 5*n. Let m be 15/b + (-105)/(-18). Solve 0 = -m*l - 3*i - 16, 3*l = -5*i for l. -5 Let x = -93 - -101. Let n be 39*-3 + 1 + x/4. Let w = n + 126. Solve 0 = 2*s - 3*k - w, 4*s + 0*s - 6 = -3*k for s. 3 Let q be (3 + -5)/(1 - 8/6). Suppose -3*u + 2*u + q = 0. Suppose 2*j + j - u = 0. Solve -5*r = j*o, 0*o = 5*r - 3*o + 25 for r. -2 Suppose -c - 418*s = -417*s, -3*c = -3*s. Suppose -t + 2*g - 7 = 0, -4*g = -2*g - 10. Solve -t*m - 5*x + 1 = c, 0 = 4*m - 2*x - x + 18 for m. -3 Let w(q) = 10*q - 54. Let u = 36 + -30. Let p be w(u). Solve -4*z = -j - 4, -4*z - 2 = 3*j - p for z. 1 Let d(q) = -2*q**2 - 6*q + 269. Let r be d(10). Solve r = 3*v + j, -9*j + 12*j - 3 = -3*v for v. 4 Let c be (5 + -4 - 0) + (2 - 0). Suppose 74 = c*p + 17. Suppose 2*s + k = 4*s - 3, s - 5*k - 15 = 0. Solve -5*m + p = -4*u, s = -u - 1 for m. 3 Let a be ((-17)/((-952)/126) - 4/2)*80. Let b be (4 - -2)/(6/4). Solve -b*q = -5*l - 10, -4*q + 2*q = 5*l - a for l. 2 Suppose -g + 102 = 5*g. Let k = g + -10. Let n = 7 - k. Solve -7 = -y - 2*p, n = 5*p - 13 - 12 for y. -3 Let t be 31/(217/42) - 8/2. Solve -2*k + 4*y = -18, t*k - y = k + 4 for k. -1 Suppose -3838*x + 208 = -3822*x. Solve -5*n + w = -30 + 50, -n - x = -2*w for n. -3 Suppose -130*b - 40 = -138*b. Solve b*g = 3*h, -7*g + 2*g = -4*h - 5 for h. -5 Let b = -3715 - -3726. Solve -5*g + 0 = -4*w - b, -3*g = -9 for w. 1 Let f(b) = -256*b**3 + 2*b**2 - b - 1. Let w be f(-1). Let j = w - 254. Solve -4*z + 4*c = -16, -2*z + 7 + 7 = -j*c for z. 1 Suppose y = -5*h + 10 + 17, 0 = -2*h + y + 8. Suppose u - 2*j + 5 = -5*j, h*j = -15. Solve o - 5*q + 5 = -u*o, 5*o + 15 = -5*q for o. -2 Let b = 49 + -24. Let z = 1043 - 1040. Solve 3*p = z*a - 6, -3*a = 2*a - b for p. 3 Suppose 4*u = -4*h - 10 + 54, -23*h = -u - 109. Solve h*g - c - 7 = 9, -c - 1 = 0 for g. 3 Let j = -2916 + 2921. Solve 4*q = -5*w + 8, 0 = 3*w - 0*w - j*q - 27 for w. 4 Suppose 0 = 5*w - 11*q + 16*q - 1005, -4*q = -2*w + 372. Let c = 197 - w. Suppose 2*x = 4 + 6. Solve 2*o = x + c, -o = 2*t - 9 for t. 3 Let n be ((-36)/5)/((-873)/(-175) - 5). Let o be (-15)/(n/12)*-7. Solve o*j - y + 4 = -0*y, 3*j - 3*y + 6 = 0 for j. -2 Let u = -125 - -136. Suppose -2*m - k + u = -0*k, 31 = 4*m + 5*k. Solve 3*z = 5*w + 9, m*z + 0 = -8 for w. -3 Let x(c) = -c**3 + 5*c**2 + 141*c - 889. Let y be x(7). Solve -2*s + 17 - 23 = w, y = 2*w + 5*s + 17 for w. 4 Let l(u) = 46*u**2 - 4*u. Let p be l(-1). Let h = 70 + -116. Let d = h + p. Solve -d*i + 4 = -5*f, -7*f + 5*i = -2*f + 5 for f. 0 Let j = 9846 - 9846. Solve j = 3*y - 56*o + 53*o + 6, -3*o = -2*y - 3 for y. -3 Let w be 6 + 464/12 + 1/3. Suppose s = -m, 17*s - 13*s - w = 5*m. Solve -s*p + 4*j = 0, 3*j + 2*j = -4*p - 41 for p. -4 Suppose 0 = -2*i - 2 - 0. Let d be i/(18/(-24))*(-18)/(-4). Let o(y) = 8*y - 13. Let a be o(d). Solve 3*s + 2*x = 6*x + a, 3*s = -3*x for s. 5 Suppose 10*j = 3*j + 21. Suppose 17 = -j*p + 107. Let l = 32 - p. Solve -11 = l*w - 3*b, 5*w - 4 = -4*b + b for w. -1 Let n be (-160)/(-85) + (-42)/(-357). Solve -3 = 4*b - 2*s + 17, -n*s = 5*b + 16 for b. -4 Let c(b) = b**3 - 3*b**2 - 6*b + 11. Let m be c(4). Suppose -m*q = 6*q - 0*q. Solve q = p + p + g - 1, -g = 5 for p. 3 Let d(t) = -t**2 - 17*t - 47. Let n be d(-13). Solve n*i = -g + 6*g + 10, 8 = -g - 2*i for g. -4 Suppose -48 = -2*t - 468*w + 471*w, 0 = -4*t - 2*w + 96. Solve 4*q - t = 2*u, -5*u + 21 = 3*q + 29 for q. 4 Suppose 7*m = 13 + 29. Solve 5*j = -5*l + 15, 2*l - 24 = m*l - 5*j for l. -1 Let w(i) = i**3 + 23*i**2 + 22*i + 1. Suppose 0 = -9*m - 309 + 111. Let t be w(m). Solve 5*f - 2 = -3*o, -5*o - t = 4*f - 0 for f. 1 Let f be (-13)/(-6) - 13/78. Suppose 0*d + 6 = f*d. Suppose 4*v = 3*t + 3, -5*v + 2*t + 0 = -9. Solve b - 12 = -v*i, b - d*i + 0*i + 12 = 0 for b. 0 Suppose 0 = -128*y + 126*y + 4. Solve -u = y*z + 5, 3*u - 2*z + 11 = -4*z for u. -3 Let i = 4634 - 4628. Solve -3*y + x = -6, -11*y + i*y + 6 = -3*x for y. 3 Let c(g) = 9*g**2 - 4*g + 2. Let z be c(3). Let b = z - 66. Solve -x - 3*a + 4 = -6*a, -3*x - b*a + 12 = 0 for x. 4 Suppose -4*g = o + o - 502, -5*o + 3*g + 1255 = 0. Let a = o - 248. Solve -3*v = 4*h + a, 4*h - v = 9 + 8 for h. 3 Let u(n) be the third derivative of -n**4/3 + 3*n**3/2 - 5*n**2. Let j be u(-4). Let r = -13 + j. Solve 3*v + 17 = -2*h, -v = -4*h - 5*v - r for h. -4 Let m(f) = -f**2 + 5*f + 19. Let y be m(7). Suppose 0 = 3*a + y*s + 4, -2*a + 4*s = -12. Solve a*d = -5*c + 23, 17 = -2*d - 0*d + 3*c for d. -1 Suppose -54*d - 35 = -58*d + 5*s, -3*s = d + 4. Solve -4*o - 18 = 5*c - 24, d*o = 5*c - 15 for c. 2 Let l = -119 - -208. Let z = 96 - l. Solve -7 - 1 = -4*o + 2*h, -3*o = -h - z for o. 3 Let o(g) = -g**2 - 14*g - 22. Let d be o(-10). Suppose -5*v + 3*a = 4*a - d, 0 = -3*v + 4*a + 20. Solve 2*h = 3*w - 4, v*h + 8 = -w - 2*w for w. 0 Let x be (-5 - (-304)/80)/((-8)/380). Solve 58*l - 1 = x*l, 0 = -5*j + l - 21 for j. -4 Suppose 4*t - 14 = -2. Suppose -3 = -3*k + t. Let h(y) = y**2 + 59*y + 868. Let g be h(-31). Solve -2*q - n = 6, g*q = -q - 3*n + k for q. -4 Suppose 0 = 18*c - 10*c + 48. Let m = c + 6. Suppose 4*l = i + 15, m = 4*i - 18 - 2. Solve 4*o = 3*p + 1, l*o + 8*p + 25 = 3*p for o. -2 Let g = 58 + -62. Let r(q) = q**3 + 3*q**2 - 10*q - 9. Let z be r(g). Suppose 5*f - z = -5. Solve 3*t = -4*n + f*t + 10, 6 = 3*t for n. 2 Let y = -6 - -11. Suppose -2*z + 4 = 4*b - 6*b, 0 = -2*z + y*b + 4. Let k(v) = -2*v**2 + 2*v + 26. Let a be k(-3). Solve -o + x = -z*x + 12, a
{ "pile_set_name": "DM Mathematics" }
mber? True Is 80449843 prime? True Is 12352716091 a composite number? False Is 113723101641 a prime number? False Is 724113527 prime? True Is 309753997 a prime number? False Is 1531319899 composite? True Is 107272975295 a composite number? True Is 43408139833 a composite number? True Is 535895351 composite? False Is 3535040261 composite? False Is 31823914957 composite? False Is 1259888979 a prime number? False Is 43777147357 composite? True Is 430391191 composite? False Is 1262010221 composite? False Is 1738166159 prime? True Is 46480329713 prime? False Is 868768049 prime? False Is 51181903547 composite? True Is 23122185761 composite? True Is 957397837 a prime number? False Is 7414386373 composite? False Is 712398989503 prime? True Is 378986693 a prime number? False Is 136420391483 prime? True Is 295850021 a composite number? False Is 1517810009 prime? False Is 54205570543 prime? False Is 2262978979 a composite number? False Is 44621240999 a prime number? False Is 6948254941 a prime number? True Is 2806879949 a prime number? False Is 8243751583 a prime number? False Is 3439131781 a prime number? True Is 3887108101 a composite number? False Is 2001666269 a prime number? False Is 22645887991 composite? True Is 99821428009 a composite number? False Is 5480710777 a prime number? False Is 61140341 a composite number? False Is 8231671219 prime? True Is 1127936233 composite? True Is 851407783 prime? False Is 1603586441 a composite number? False Is 6458443333 prime? False Is 9186468497 prime? True Is 4156336499 composite? True Is 1837311209 a composite number? False Is 13369475737 a prime number? False Is 642578231 a prime number? True Is 228805342 a composite number? True Is 37925947049 a composite number? False Is 2392550033 a composite number? True Is 2439703963 composite? False Is 187299911 prime? False Is 80105989321 prime? False Is 701014421 a prime number? False Is 13808871527 a composite number? True Is 1569360021 a composite number? True Is 1697495291 a prime number? True Is 13071476839 a prime number? True Is 7872224179 a composite number? True Is 18479095909 prime? True Is 649244282 composite? True Is 79269389 composite? True Is 54019787369 composite? False Is 8381582899 a composite number? False Is 308536759 a prime number? False Is 697961141 a prime number? True Is 1128833351 composite? False Is 10417656401 a composite number? False Is 1512693503 a composite number? True Is 3978265322 a prime number? False Is 3056429899 a composite number? False Is 3276752002 composite? True Is 77666712301 a prime number? True Is 195907725514 a composite number? True Is 28384839151 composite? False Is 53202231257 a composite number? True Is 20101492429 a composite number? True Is 482632133 a composite number? True Is 163716793 prime? True Is 782351369 composite? True Is 1645721723 prime? True Is 59500547 a prime number? False Is 5375146369 composite? True Is 11037191611 composite? False Is 319691843383 composite? True Is 47924420041 composite? True Is 53174168143 prime? False Is 44925537227 prime? True Is 1106381281 a composite number? False Is 2461619 a composite number? True Is 538690027 a prime number? True Is 1893945461 a composite number? False Is 255804673 a prime number? False Is 11392883465 composite? True Is 15253746161 a composite number? True Is 5244766691 a prime number? True Is 5548238177 composite? True Is 17992801622 prime? False Is 10852447163 a prime number? False Is 124449271 a prime number? False Is 7266293162 a prime number? False Is 1212124373 a composite number? False Is 6112079947 composite? False Is 1062312827 a prime number? True Is 730235983 prime? True Is 109013996489 a composite number? False Is 554505017 prime? False Is 6018135787 composite? False Is 784226087 a composite number? False Is 33651058813 prime? True Is 452470531 prime? True Is 1582990007 prime? True Is 5328117409 composite? False Is 662782619 prime? True Is 85909654 a composite number? True Is 18108145051 prime? False Is 389304065 a composite number? True Is 1117924251 prime? False Is 30332697361 prime? True Is 8931945331 composite? False Is 86698249285 composite? True Is 232165276657 a composite number? False Is 10398414529 a prime number? True Is 2150544119 a composite number? False Is 5467518817 prime? True Is 6324921521 a composite number? True Is 8433958993 composite? True Is 478723681657 prime? False Is 1020864731 a composite number? False Is 377015869 a prime number? False Is 8505106954 composite? True Is 132783031 composite? True Is 21859463657 a prime number? False Is 1105599301 a prime number? False Is 54136055681 a prime number? True Is 2954467399 a prime number? False Is 33352538321 prime? False Is 3083040446 composite? True Is 289837279 a prime number? True Is 23381970233 composite? False Is 14209821411 composite? True Is 12857454133 composite? True Is 31591032997 composite? False Is 6510496994 prime? False Is 2404624583 a composite number? True Is 6375270947 a prime number? True Is 7657082119 a prime number? False Is 564703487 a composite number? True Is 7842429173 composite? True Is 665783977 a composite number? False Is 14618537117 prime? False Is 453123061 a composite number? False Is 205132133 a prime number? False Is 4711028711 a composite number? True Is 20483428267 composite? False Is 4915307099 a prime number? False Is 37085215693 a composite number? False Is 579469413 composite? True Is 110045519 a prime number? False Is 6887999 prime? False Is 70003267 a composite number? True Is 169435031 a prime number? True Is 19457775247 prime? True Is 1031922217 a composite number? False Is 2320602703 composite? True Is 166241993 prime? False Is 36501254657 a prime number? False Is 2702844797 composite? False Is 541410391 prime? True Is 1803029857 prime? False Is 2802553987 composite? True Is 29987665471 prime? True Is 1207363538 a composite number? True Is 5711776193 prime? True Is 1797277351 prime? False Is 16162824329 a composite number? True Is 444139327 a composite number? True Is 61732465723 a composite number? False Is 30349576253 prime? True Is 395190629 composite? False Is 105330373 composite? False Is 819785123 composite? False Is 2832342647 composite? True Is 309604891829 a prime number? True Is 8607171983 a composite number? True Is 9610688917 a prime number? False Is 291900335 a composite number? True Is 130734768782 a prime number? False Is 22053014471 a composite number? False Is 11097859327 a composite number? False Is 3430927961 a composite number? False Is 1433406053 a prime number? False Is 692742251 a composite number? False Is 516093011 composite? True Is 42637478137 a prime number? False Is 40823960431 composite? True Is 3742788589 prime? False Is 31045482071 prime? False Is 24754206131 a prime number? False Is 534699461 a composite number? False Is 4735577411 a prime number? True Is 42475588513 a composite number? True Is 21784769581 composite? True Is 80254408138 a prime number? False Is 42655005559 prime? True Is 125920529027 a composite number? True Is 21875494183 a composite number? True Is 148812953 a prime number? True Is 1700334673 a prime number? True Is 8552310881 composite? False Is 332478277 composite? False Is 453179477 a composite number? True Is 308685101 a prime number? True Is 4220801779 prime? False Is 59230884079 composite? True Is 1713157022 composite? True Is 464149703 a composite number? True Is 1397920343 a composite number? True Is 3903745283 composite? False Is 149355677 composite? False Is 5927708569 a prime number? True Is 4536269489 prime? False Is 162595994307 a prime number? False Is 2324744993 prime? True Is 16643746694 composite? True Is 27153066541 a prime number? True Is 401069713 a composite number? True Is 4351384711 prime? True Is 17023160879 prime? True Is 1245904301 prime? False Is 3633627611 prime? False Is 38106730639 composite? False Is 9558098047 a prime number? False Is 107004071 a prime number? False Is 1589270443 composite? True Is 10820181121 a composite number? True Is 16370980811 a prime number? False Is 2562113269 composite? False Is 20455780879 a prime number? True Is 598467743 a composite number? False Is 7590636919 a prime number? True Is 11449306886 composite? True Is 1242
{ "pile_set_name": "DM Mathematics" }
third derivative of -q**6/180 + q**4/12 + 5*q**3/6 + 5*q**2. Let h(l) be the first derivative of p(l). Factor h(u). -2*(u - 1)*(u + 1) Let w(p) be the third derivative of -p**8/1848 + 8*p**2. Solve w(q) = 0. 0 Suppose -12*o + 6 + 18 = 0. Solve 4/3*a**3 + 5/3*a**o + 0 + 1/3*a = 0. -1, -1/4, 0 Let w(h) = -h**3 - h**2 - 3 + 2 + h**3 + h**4. Let l(b) = -6*b**4 - 3*b**3 + 7*b**2 + 3*b + 1. Let t(n) = l(n) + 2*w(n). Factor t(u). -(u - 1)*(u + 1)**2*(4*u - 1) Let c(v) = v**3 - v**2 - v - 1. Let d(w) = 8*w**3 + 27*w**2 + 57*w + 37. Let q(p) = -3*c(p) + d(p). Factor q(t). 5*(t + 2)**3 Let w(d) be the third derivative of d**6/24 - d**5 - 59*d**2. Solve w(s) = 0 for s. 0, 12 Let f(i) = 76*i**2 - 208*i + 100. Let u(x) = 7*x**2 - 19*x + 9. Let g(t) = 3*f(t) - 32*u(t). Factor g(z). 4*(z - 3)*(z - 1) Let d be (-2)/(-1)*(-235)/10. Let b = 142/3 + d. Find u, given that 0*u + 1/3 - b*u**2 = 0. -1, 1 Let m be ((3 - 3) + 0)/(-3 - -2). Let k = -14 + 44/3. Solve 0*z + 0 + 1/3*z**5 - k*z**4 + m*z**2 + 1/3*z**3 = 0. 0, 1 Let g(s) be the first derivative of -2*s**3/27 + 2*s**2/3 - 10*s/9 - 10. Factor g(u). -2*(u - 5)*(u - 1)/9 Factor -1 + 5/2*b - 2*b**2 + 1/2*b**3. (b - 2)*(b - 1)**2/2 Let r(a) be the first derivative of 2*a**5/5 - a**4/2 - 2*a**3/3 + a**2 - 9. Let r(c) = 0. Calculate c. -1, 0, 1 Suppose 6*z - 3*z + 12 = 0. Let i(b) = -5*b**2 - 3*b - 1. Let t(u) = -6*u**2 - 4*u - 2. Let s(d) = z*i(d) + 3*t(d). Let s(v) = 0. Calculate v. -1, 1 Let k(a) = 15*a**4 + 30*a**3 + 27*a**2 - 12. Let b(w) = 6*w**4 + 12*w**3 + 11*w**2 - 5. Let m(i) = 12*b(i) - 5*k(i). Solve m(q) = 0. -1, 0 Let t(d) be the second derivative of -d**7/105 + 2*d**6/75 + d**5/50 - d**4/15 + 7*d - 2. Determine a so that t(a) = 0. -1, 0, 1, 2 Let s(r) be the second derivative of -1/20*r**5 - 2*r + 1/42*r**7 - 1/12*r**4 + 0*r**3 + 1/30*r**6 + 0*r**2 + 0. Find g such that s(g) = 0. -1, 0, 1 Let y(j) = -9*j**2 - 18*j - 17. Let n(u) = -u**2 - 2*u - 2. Let a(t) = -51*n(t) + 6*y(t). Find b, given that a(b) = 0. -2, 0 Let t(u) be the third derivative of -u**6/120 + u**5/20 - u**4/8 - u**3/3 - u**2. Let b(d) be the first derivative of t(d). Find q, given that b(q) = 0. 1 Let h(j) be the first derivative of -2*j**5/35 - 2*j**4/7 - 10*j**3/21 - 2*j**2/7 - 26. Factor h(t). -2*t*(t + 1)**2*(t + 2)/7 Let n = -2 - -4. Suppose -n*h = 3*h - 10. Factor -1/4 - 1/2*x - 1/4*x**h. -(x + 1)**2/4 Suppose -3*a + 4*a = -7. Let d(y) = -y**3 - 6*y**2 + 7*y + 3. Let l be d(a). Let -3*h**2 + 4*h**3 + 2*h**2 - 5*h**l = 0. Calculate h. -1, 0 Let o be -5 - (1 + (-3)/(-3)). Let g = o - -7. What is k in 1/4*k**3 + 0*k + 0*k**2 + g = 0? 0 Suppose 0*l + r = 4*l - 11, 2*l - r - 3 = 0. Suppose 0*a - 1/4*a**3 - 1/4*a**5 + 0 + 1/2*a**l + 0*a**2 = 0. What is a? 0, 1 Let z = -277/5 + 56. What is n in 3/5 - z*n**2 + 0*n = 0? -1, 1 Let y(r) = -r**2 - 2*r. Let m(g) = 2*g**2 + 5*g. Let i = 0 + 14. Let u(v) = i*y(v) + 6*m(v). Factor u(q). -2*q*(q - 1) Let o(y) be the first derivative of -5*y**4/4 + 5*y**3 + 5*y**2/2 - 15*y + 19. Determine i, given that o(i) = 0. -1, 1, 3 Let a(d) be the third derivative of -1/1344*d**8 - 1/80*d**6 - 1/60*d**5 - 1/96*d**4 + 0 + 0*d**3 - 1/210*d**7 + 4*d**2 + 0*d. Factor a(k). -k*(k + 1)**4/4 Let j be 20/15 + (-4)/(-6). Factor j*w**3 + 3 + 2*w**2 + 0*w**3 - 2*w - 5. 2*(w - 1)*(w + 1)**2 Let m be ((-6)/15)/(39/15). Let t = 20/39 - m. Determine r so that 4/3*r**4 + 0*r - t*r**2 + 2/3*r**3 + 0 = 0. -1, 0, 1/2 Factor 5 + s**2 + 5*s - 6*s**2 + 0*s**2 + 0*s**3 - 5*s**3. -5*(s - 1)*(s + 1)**2 Suppose -4 = -m, 0 = -5*o - 5*m + 32 - 2. Factor -2/7*j + 6/7*j**o + 10/7*j**4 + 18/7*j**3 + 0. 2*j*(j + 1)**2*(5*j - 1)/7 Let b be (-1 - 20/(-50))*-9. Factor 21/5*k**2 + 9*k + 3/5*k**3 + b. 3*(k + 1)*(k + 3)**2/5 Let y(t) be the second derivative of t**8/336 - t**7/70 + t**6/40 - t**5/60 + 3*t**2/2 - 4*t. Let m(x) be the first derivative of y(x). Factor m(p). p**2*(p - 1)**3 Let l(y) be the second derivative of y**5/10 - 5*y**4/6 - 2*y**3 + y + 8. Factor l(r). 2*r*(r - 6)*(r + 1) Let i(t) be the first derivative of t**4/24 + t**3/18 - t**2/12 - t/6 + 16. Factor i(o). (o - 1)*(o + 1)**2/6 Let f(r) be the third derivative of r**8/1344 - r**6/80 + r**5/30 - r**4/32 - 18*r**2. Find a, given that f(a) = 0. -3, 0, 1 Let c(p) be the third derivative of p**11/831600 - p**10/189000 + p**9/151200 + p**5/60 + 2*p**2. Let v(z) be the third derivative of c(z). Solve v(j) = 0. 0, 1 Let w(u) = u**2 - u - 1. Let i(a) = -6*a**2 + 10*a + 2. Let l(b) = -i(b) - 2*w(b). Suppose l(q) = 0. What is q? 0, 2 Let k(i) = i + 5. Let t be k(-5). Suppose t*a - a = -4. Factor 7*q**a + q**5 - q**3 - 9*q**4 + 2*q**4. q**3*(q - 1)*(q + 1) Suppose -p + 0*p + n - 3 = 0, -3*p = 4*n - 26. Let k(t) be the first derivative of -3/10*t**2 + p - 3/5*t**4 + t**3 + 0*t. Factor k(c). -3*c*(c - 1)*(4*c - 1)/5 Let x(g) be the first derivative of g**9/1512 - g**8/420 + g**7/420 - g**3/3 - 2. Let w(l) be the third derivative of x(l). Factor w(j). 2*j**3*(j - 1)**2 Factor -1/4*d**4 - 1/4*d**3 + 1/4*d**2 + 0 + 1/4*d. -d*(d - 1)*(d + 1)**2/4 Let c(k) be the first derivative of 0*k**3 + 0*k**2 + 0*k - 2/5*k**5 - 2 + 1/2*k**4. Factor c(f). -2*f**3*(f - 1) Let b(v) be the third derivative of v**8/168 + 8*v**7/105 + 11*v**6/30 + 4*v**5/5 + 3*v**4/4 - v**2 + 13*v. Suppose b(t) = 0. Calculate t. -3, -1, 0 Let y(k) be the third derivative of k**5/240 + k**4/24 - 13*k**2. Let y(z) = 0. Calculate z. -4, 0 Let k(t) be the second derivative of -1/12*t**4 - 1/15*t**6 + 0 + 0*t**2 + 1/8*t**5 + 1/84*t**7 + 3*t + 0*t**3. Suppose k(p) = 0. Calculate p. 0, 1, 2 Let d(z) = -3*z**5 - 17*z**4 - 19*z**3 - 11*z**2. Let f(p) = 48*p**5 + 273*p**4 + 303*p**3 + 177*p**2. Let w(r) = -33*d(r) - 2*f(r). Factor w(q). 3*q**2*(q + 1)**2*(q + 3) Let h(p) = 5*p**2 + 36*p + 165. Let i(c) = c**2 + 1. Let v(a) = -h(a) + 3*i(a). Suppose v(q) = 0. Calculate q. -9 Let u(s) = s + 2*s + 1 - s**3 - 3*s - s. Let f(t) = t**5 - t**4 + 7*t**3 + t**2 + 8*t - 8. Let l(z) = 3*f(z) + 24*u(z). Factor l(q). 3*q**2*(q - 1)**2*(q + 1) Suppose -3*p - 12 = -5*p. Let w be 74/19 - p/(-57). Suppose 10/9*h**2 + 0 - 10/9*h**w - 2/3*h**3 - 2/9*h + 8/9*h**5 = 0. Calculate h. -1, 0, 1/4, 1 Let j be (-6)/(-20) + 1/5. Factor 1/2*g**2 + 0 + g - j*g**3. -g*(g - 2)*(g + 1)/2 Let r(o) be the third derivative of -3*o**2 - 1/330*o**5 + 0*o - 4/33*o**3 - 1/33*o**4 + 0. Let r(t) = 0. Calculate t. -2 Let k be (3 - (1 + 2))/2. Let p be k/(-2)*(-3 - -4). Determine o so that p*o - 1/3*o**2 + 1/3 = 0. -1, 1 Let i(a) be the third derivative of -a**5/15 + 2*a**3/3 + 2*a**2. Find z, given that i(z) = 0. -1, 1 Let w(n) = 4*n - 14. Let v be w(4). Determine l so that -4/7*l - 2/7*l**v - 2/7 = 0. -1 Let m(f) = 3*f - 23. Let a be m(9). Let g(p) be the second derivative of -1/9*p**3 + 0 + 0*p**2 - 1/6*p**a + p. Factor g(o). -2*o*(3*o + 1)/3 Let a(k) = -4*k**2 + 30*k - 126. Let f(x) = 5*x**2 - 29*x + 125. Let m(n) = 3*a(n) + 2*f(n). Factor m(g). -2*(g - 8)**2 Let g(c) be the second derivative of -c**9/5040 - c**8/2240 + c**7/840 + c**6/240 - c**4/2 + 6*c. Let x(f) be the third derivative of g(f). Factor x(u). -3*u*(u - 1)*(u + 1)**2 Let s(h) be the second derivative of h**7/3360 - h**6/1440 - h**5/480 + h**4/96 - h**3/2 + h. Let m(o) be the second derivative of s(o). Factor m(j). (j - 1)**2*(j + 1)/4 Let u = 26 - 24. Let x(g) be the third derivative of 1/1344*g**8 - 2*g**u - 1/48*g**4 + 0*g + 1/80*g**5 - 1/280*g**7 + 0 + 0*g**3 + 1/480*g**6. Factor x(p). p*(p - 2)*(p - 1)**2*(p + 1)/4 Suppose 2*m = 3*a + m - 10, 3*m = a + 2. Let -27*g**4 - 9*g**3 + 30*g**4 - 3*g - a*g**2 + 13*g**2 = 0. Calculate g. 0, 1 Let r(i) be the second derivative of 0*i**2 + 0 + 6*i + 1/120*i**5 - 1/72*i**4 + 1/180*i**6 - 1/36*i**3. Factor r(c). c*(c - 1)*(c + 1)**2/6 Let -36*v**2 - 5 + 4*v**4 + 244*v - 11 + 4*v**3 - 200*v = 0. Calculate v. -4, 1 Suppose 4/7*t**5 + 72/7*t**3 - 30/7*t**4 - 12/7*t + 18/7 - 52/7*t**2 = 0. Calculate t. -1/2, 1, 3 Let k(w) be the first derivative of 4*w**5/5 - 32*w**4 + 512*w**3 - 4096*w**2 + 16384*w - 28. Factor k(g). 4*(g - 8)**4 Let 2/3*a**3 + 0 + 2/9*a**4 - 2/9*a**2 - 2/3*a = 0. What is a? -3, -1, 0, 1 Determine q, given that 30/11*q**3 - 24/11 + 10/11*q**2 - 32/11*q + 14/11*q**4 + 2/11*q**5 = 0. -3, -2, -1, 1 Let q(r) be the third derivative of -4/3*r**3 - 1/30*r*
{ "pile_set_name": "DM Mathematics" }
on denominator of v and m? 70 Let q(b) = 7*b + 36. Let d(h) = 4*h + 18. Let a(i) = -5*d(i) + 3*q(i). Let o(x) = x**2 - 6*x. Let t be o(6). What is the least common multiple of a(t) and 18? 18 Let t = 9 + 0. Let m(z) = 2*z**2 + 2*z - 4. What is the smallest common multiple of t and m(-3)? 72 Find the common denominator of 143/24 and (-354)/(-4)*(-3)/90. 120 Suppose -5*h - 5*y = 30, 0 - 4 = -2*h + 2*y. Find the common denominator of (5/h)/(3/(-51)) and 79/8. 8 Let z be (1 + -57)*(-6995)/(-10). Let g = z - -9283798/237. Let u = g - -11387/474. Calculate the common denominator of 2/5 and u. 30 Let c = -9/1166 + -34666/2915. Find the common denominator of 8/3 and c. 30 Let y be 3 + (-12)/(2 - 6). What is the least common multiple of (-1*y)/(27/(-45)) and 8? 40 Suppose -4*p + 3*p = u - 199, -2 = -2*u. Calculate the common denominator of 1/9 and 6/27 + 190/p. 99 Let n(o) = 2*o**2 + 5*o - 3. Let p be n(-4). What is the common denominator of 105/22 and (-123)/p*(-18)/(-40)? 220 Suppose 0*z = 2*z. Suppose -f - 5*p + 24 = z, -f + 5*p = 4*f. Calculate the lowest common multiple of -8*(-2)/16*1 and f. 4 Let n = 1624 - 14588/9. What is the common denominator of n and 5/(220/(-128)) + 0? 99 Let c = 78 + -48. Find the common denominator of 55/2 and c. 2 Let x = 25 - 42. Let t = x + 27. What is the lowest common multiple of 12 and t? 60 Let u(k) = -5*k - 17. Let l(t) = 5*t + 16. Let r(m) = -5*l(m) - 4*u(m). Calculate the lowest common multiple of r(-6) and 8. 72 Let k = 1174/7 + -25947/154. Suppose -p - 3*z = -14072, 29249 + 41041 = 5*p + z. Let n = p - 309329/22. What is the common denominator of n and k? 22 Let x = 146 - 86. Suppose 2*c - x = -c. What is the smallest common multiple of 6 and c? 60 Let g be (4/18)/(128/(-61752)). Let f = -605/6 - g. Find the common denominator of -33/7 and f. 56 Let j be (-1061)/4048 - 5/(-20). Let l = 8375769/4048 - j. Let x = 2072 - l. Find the common denominator of x and -47/18. 72 Suppose -11 = -2*h + 4*u + 7, 5*h = 4*u + 21. Let x = h + 1. Suppose -d + x*d = 12. What is the least common multiple of 4 and d? 12 Calculate the smallest common multiple of 6 - (-5)/(15/(-6)) and 8. 8 Let t be 3/(-15) - (-175214)/45. Let c = -3886 + t. Find the common denominator of c and -27/11. 99 Suppose 2*l + 0*d + 4*d + 6 = 0, -5*d - 6 = 3*l. Suppose 3*t = 2*s - 15 - 5, l*t + 27 = 3*s. Let o = -4 + 15. What is the smallest common multiple of s and o? 77 What is the common denominator of (-3)/(-7)*(2 + -3) and 38/5? 35 Let m = 33 - 13. Calculate the least common multiple of m and 52. 260 Let g = 32287/12 + -5371/2. Calculate the common denominator of 76/27 and g. 108 Suppose 3*i = -2*x - 5 + 69, 2*x + i = 56. Suppose -4*p + 14 = -x. What is the smallest common multiple of 16 and p? 80 Let l be 3/(-2)*5210/(-15). Let o = l + -11489/22. Find the common denominator of 47/14 and o. 154 Suppose 4*c = 2*c + 2*i + 4, -4*c = -3*i - 11. Suppose 4*f - 3*h - 2*h = 24, 5*f + 15 = -c*h. Calculate the smallest common multiple of 3 and f. 3 Let v be (-4 - 0)*(-14 + -2). Suppose -4*k = -5*d - v, -k - 2*k + 4 = -d. Let u = 793/184 - -3/46. Calculate the common denominator of d and u. 8 Let s be 4*(-2 - (-3 + -1)). Suppose -3*d + d + s = 0. Find the common denominator of d/(-9)*(1 - -1) and 16/7. 63 Let k be (9/(-4))/((-16)/23548). Let i(u) = 133*u**2 + u - 3. Let x be i(-5). Let h = x - k. Calculate the common denominator of h and 45/22. 176 Let g = 28923/2690 - 14/269. Calculate the common denominator of 30/4*24/(-50) and g. 10 Let h = -509917/4 + 126187. Suppose 2*s = s + 1285. Let f = h + s. What is the common denominator of 1/22 and f? 44 Let f = -1348 - -8015/6. Let w = 14 - 8. Find the common denominator of ((-4)/w)/((-20)/(-309)) and f. 30 Let q be (1/(-2))/((-7)/112). Suppose -2 = 2*d - q. Suppose -2*n + d*k = -4, 3*n + 5*k - 35 = -2*n. What is the lowest common multiple of 5 and n? 5 Suppose 2*a + 28 = 6*a. Calculate the smallest common multiple of 6 and a. 42 Let y = -1775 + 10673/6. Let q be 1 + 82162/8964 - -1. Let w = 2/2241 + q. Find the common denominator of w and y. 6 Suppose -3*q + 307 - 27 = n, 0 = -n - 4*q + 276. Calculate the least common multiple of 14 and n/18 + (-2)/9. 112 Let m = 919 + -7431/8. Find the common denominator of m and 19/4. 8 Let m(a) = 8*a**2 - 1. Let z be m(1). Suppose -4*w + z = -1. What is the least common multiple of 2 and w? 2 Let a = -165579/40390 - 2/4039. Calculate the common denominator of a and (-1)/((-3)/89*6/(-9)). 10 Let p(v) = v - 3. Suppose 2*c = c + 9. Suppose -2*i + c = -i. Calculate the smallest common multiple of p(12) and i. 9 Suppose 2 = -4*f + 6. Suppose -f = -w - o, -w + 4*o = 3 - 9. What is the smallest common multiple of w and 22? 22 Let c = 25 + -15. Let m(p) = p + 1. Let o be m(1). What is the lowest common multiple of 143/22 - o/(-4) and c? 70 Suppose -4*s - 2*s = -48. Calculate the lowest common multiple of s and 9. 72 What is the common denominator of 1 + 24/(-3)*1/(-15) and -149/6? 30 Let b be (-4)/(-1 - 1) + 0. What is the common denominator of (-156)/16*b/(-6) and ((-26)/(-16))/(-5 - -3) - 0? 16 Let u = -5 + 7. Let j = -2 + 5. Calculate the smallest common multiple of j and u. 6 Let k = -29524/9 + 3276. What is the common denominator of -95/4 and k? 36 Suppose 0 = 2*u - 3*v - 22, -8 = 5*u - 2*v - 63. Let l(x) = x**2 - 2*x - 2. Calculate the smallest common multiple of u and l(3). 11 Suppose 6*f - 192 = -0*f. Calculate the smallest common multiple of f and 9. 288 Let k = 139/19 + 20/57. What is the common denominator of 2/(-7) - 174/(-70) and k? 15 Let s be 1/(-1) + 1/1. Suppose s = -x - 2*x - 21. Let j = x - -13. What is the smallest common multiple of 4 and j? 12 What is the least common multiple of 6 and 1/((-8)/3 + 3)? 6 Let i = 9 - -11. What is the smallest common multiple of 40 and i? 40 What is the common denominator of -77/8 and (6/28)/(1/(-2))? 56 Calculate the common denominator of 125/6 and (-781)/198*(0 + 2). 18 Calculate the common denominator of -43/8 and ((-186)/(-14))/(28/(-98)). 8 Suppose -3*p + 62 = p - 2*w, 5*w - 115 = -5*p. Let k = -2 - -6. What is the least common multiple of k and p? 36 Let t(w) = -w**3 - 4*w**2 + 4*w - 6. Let a = 4 + -9. Let d be t(a). Let r = d + 3. Calculate the smallest common multiple of 16 and r. 16 Suppose z - 4 = -3*z. Let n(b) = 3*b - 1. Calculate the lowest common multiple of 10 and n(z). 10 Calculate the common denominator of 43/18 and 2 - -2*(-89)/(-4). 18 Let x(z) = z**3 + 5*z**2 - 2*z - 4. Suppose 2*h - h = 2*w + 3, -w = 3*h - 16. Suppose 0 = -h*b - 3 - 22. Calculate the smallest common multiple of 2 and x(b). 6 Let l = -15641/1788 - 50/149. Let j = 10/361 + -43861/6498. Find the common denominator of l and j. 36 Suppose 0 = -k + 5*k. Suppose 4*a - 3*a + 2 = k. Find the common denominator of (426/16)/(3/a) and -17/11. 44 Let j = 3519784 - 2168185615/616. Let a = j - -93/88. Find the common denominator of a and 85/6. 42 Let m = -1824 + 65717/36. Calculate the common denominator of -63/8 and m. 72 Let m be 0 - 4346/8 - -3. Let p = 536 + m. What is the common denominator of p and 19/11? 44 What is the smallest common multiple of (328/3)/4 - (-5)/(-15) and 33? 297 Find the common denominator of 71/8 and ((-6)/(-12))/(2/(-134)). 8 Suppose 5*p - 2*m + 23 = 0, -m + 7 = -p - 0*p. Let a = 4 - p. Let u = 31 + -28. What is the smallest common multiple of a and u? 21 What is the common denominator of (-6)/(-27) - 1295/441 and 101/10? 70 Suppose i = -o - 27 + 3, -2*i - 5*o - 60 = 0. Let s = -832 - -3387/4. Find the common denominator of (18/14)/(i/182) and s. 20 Suppose -2*i - i = 2*u + 98, -u = -2*i - 56. Let y be 1/30*896/i. Let n = -39/25 + y. What is the common denominator of -23/8 and n? 72 Let o = 13 + 22. Suppose -o = -5*f - 5*q, f = 6*f - 5*q - 55. Find the common denominator of (5/f)/(2/(-3)) and 22. 6 Suppose -3*h + 58 = 181. Suppose l - 5*l = 96. Find the common denominator of l and h. 1 Suppose 0 = 3*m - 6*m + 66. Let a = m - 8. Let r(g) = -g**2 - 10*g + 6. Calculate the least common multiple of r(-8) and a. 154 Let y = 28/181 - -14019/1810. Calculate the common denominator of y and -87/10. 10 Let t(k) = 5*k**2 - k**3 + 10*k - k**2 - 6*k + 7. Let f be t(5). What is the common denominator of -81/2 and 256/(-72)*(-6)/f? 6 Let k = 811
{ "pile_set_name": "DM Mathematics" }
e 0 = -21*h - c*h + 192. Give m(h). 27 Let j(f) = -5 - 36486*f**2 - f**3 + 36486*f**2. Give j(0). -5 Let i(k) = -k**2 - k - 4. Let x = 69 - 55. Let s be 4/x - -12*3/(-126). Give i(s). -4 Let q = -8470 + 8474. Let u(i) = -4*i**2 + 2*i - 2. Determine u(q). -58 Let u(h) = h**3 + 8*h**2 + 6*h + 2. Let d(y) = -2*y**3 - 14*y**2 - 10*y - 3. Let w(s) = 4*d(s) + 7*u(s). Calculate w(0). 2 Let h(b) = b. Let v(c) be the first derivative of c**3/3 + 5*c**2/2 - 19*c + 249. Let y = -19 - -11. Let k be v(y). Determine h(k). 5 Let b = -29195 - -29198. Let x(t) be the third derivative of -24*t**2 + 0 + 1/4*t**4 - 1/3*t**b - 1/60*t**5 + 0*t. Calculate x(3). 7 Let z = 1357 - 1348. Let u(l) = -6*l - 8. Calculate u(z). -62 Let f(w) = w**2 + w - 1. Let h(a) = -3*a**2 - 6*a + 2. Let g(z) = -4*f(z) - h(z). Let c(r) = 7*r**2 - 7*r - 9. Let u(y) = c(y) + 6*g(y). Calculate u(-3). -3 Let o(n) = -155 - 5*n + n + 8*n + 183. Calculate o(-9). -8 Let m(c) = 11*c + 83. Let w(j) = 21*j + 161. Let k(n) = -9*m(n) + 5*w(n). What is k(-10)? -2 Let r = 1279 + -1290. Let f(s) = -s**2 - 21*s - 108. Calculate f(r). 2 Let s(i) be the third derivative of -i**6/120 + 23*i**5/60 - 9*i**4/8 + 14*i**3 - 5*i**2 + 11*i - 31. Give s(22). -26 Suppose -5*j + f + 34 = 0, 5*j + 2*f - 49 = -27. Let y(b) be the second derivative of b**5/20 - 5*b**4/12 - 2*b**3/3 - 3*b**2 + 12*b. Give y(j). 6 Let g(x) = -49*x + 71*x + 34 - 59. Calculate g(1). -3 Let c(v) = 5*v - 251 - 7*v + 171 - 2*v + 17*v. Determine c(5). -15 Let y(t) = -t - 1. Suppose -5*z = 33 - 38. Let o be (-2*z/(-3))/((-6)/(-27)). Suppose -o*p = -0*p + 2*u + 28, -5*p + u - 25 = 0. What is y(p)? 5 Let g(f) be the second derivative of -7*f**5/30 + f**4/24 - f**3/6 + 107*f**2/2 + 49*f. Let l(m) be the first derivative of g(m). What is l(1)? -14 Suppose 4*u + 5*f + 11 = 0, -119*u + 117*u - 5*f = 13. Let k(c) = 2*c**2. Let j(o) = 3*o**2. Let g(r) = 5*j(r) - 8*k(r). What is g(u)? -1 Let n = 142 + 14. Suppose -n = 2*x - 142. Let c(t) = -t - 3. Give c(x). 4 Let q(t) be the third derivative of -t**4/3 - 25*t**3/3 - 53*t**2 - 38*t - 1. What is q(-9)? 22 Suppose 5*f + 77 = 32, 0 = n + f - 11. Let h(l) = l**2 - 9*l - 235. Determine h(n). -15 Let l = -15306 - -15293. Let s(i) = 8*i + 87. What is s(l)? -17 Let n(l) be the first derivative of 0*l - 18 - 4/3*l**3 + 1/4*l**4 - l**2. Determine n(5). 15 Let w(b) be the first derivative of -b**3/3 + b + 603. Give w(2). -3 Let k(v) = 48*v - 147. Let q(x) = -50*x + 153*x - 53*x - 9 - 47*x. Let c(s) = -4*k(s) + 66*q(s). Calculate c(6). 30 Let a(n) = -8*n + 9. Let c(h) = -3*h**3 - 24*h**2 + 26*h + 209. Let m be c(-8). Determine a(m). 1 Let n(i) = -i**3 - 9*i**2 + i + 12. Let d be n(-9). Suppose -10 - 1 = d*a - 4*z, 4 = 3*a - z. Let l(y) = -6*y. Determine l(a). -18 Suppose -74*t - 79 + 449 = 0. Suppose 19*w = 20*w + t*x + 1, -w + x + 5 = 0. Let v(z) = -1 + 5 + 0*z**2 - z**3 + 4*z**2. Give v(w). 4 Let s(a) be the third derivative of a**6/120 + a**5/6 + a**4/8 - a**3/6 - 10348*a**2. Determine s(-10). -31 Let w(d) = -7*d + 5*d + 3*d - 11. Let y(u) = -61*u - 482. Let t be y(-8). Calculate w(t). -5 Let r = 27024 - 27020. Let g(z) = 2*z**2 - 8*z + 16. What is g(r)? 16 Let v(f) = f**3 - 5*f**2 + 5*f. Let g(q) = 2*q**3 - 5*q**2 - 13*q + 10. Let t be g(5). Suppose 66*k + 8 = t*k. Calculate v(k). -2 Let z(a) = 5*a**3 + 405*a**2 - 2*a + 6. Let l(p) = 14*p**3 + 1114*p**2 - 5*p + 16. Let x(u) = 4*l(u) - 11*z(u). Let d = 4 - 1. Give x(d). 40 Let f(n) be the first derivative of -n**6/360 - 7*n**5/120 + 11*n**4/24 - 80*n**3 + 43. Let c(l) be the third derivative of f(l). Determine c(-8). 3 Let r(v) = 28 - 2796*v - 2807*v + 5606*v. Determine r(-4). 16 Let u(q) = -15*q + 197. Let s be u(13). Let k(v) be the second derivative of -7*v - 1/12*v**4 + 0 + 0*v**s + 0*v**3. Calculate k(-1). -1 Let z(h) = -h**2 + 2*h. Let y = 454 - 449. Suppose y*u - c - c - 24 = 0, -u + 10 = -3*c. Give z(u). -8 Let a(f) = -2*f + 6. Let v = -6 - -13. Let n(g) = 268*g + 2410. Let w be n(-9). Let o = w + v. Determine a(o). -4 Let y(n) = -6*n**2 + n - 4. Let v(j) = j + 49. Let u be v(11). Let a = u - 54. Let z(s) = -5*s**2 + s - 4. Let g(r) = a*y(r) - 7*z(r). Calculate g(-3). -2 Let c(n) be the third derivative of n**6/360 - 11*n**5/60 + 5*n**4/24 + n**3/3 - n**2 + 87. Let q(w) be the second derivative of c(w). Calculate q(10). -2 Let g(m) be the third derivative of m**7/840 - m**6/90 - m**5/24 - 7*m**4/24 - 11*m**3/3 - 30*m**2. Let l(i) be the first derivative of g(i). Calculate l(5). -7 Let k(c) = c**2 - 43*c - 1012. Let g be k(-17). Let h(v) = 2*v**2 - 6*v - 16. Determine h(g). 64 Let r(w) = 2*w**3 - 2*w**2 + 7*w - 16. Let z be r(2). Let u(b) = 324*b + z - 324*b + b**2. Determine u(0). 6 Let g(z) = -17*z + 15. Let w(o) = 228*o - 192. Let v(d) = 27*g(d) + 2*w(d). Suppose 28 = 4*f + 5*r + 4, 18 = 3*f + 5*r. Give v(f). 3 Suppose 5*y + 17 + 8 = 0. Let o(r) be the first derivative of -r**3/3 - 3*r**2 - 2*r - 25. What is o(y)? 3 Let x(f) = 146 + 30*f**2 - 12*f**2 - 42*f + 43 - 19*f**2. Determine x(-46). 5 Let t(u) = -3*u**2 + 4*u + 1. Let k be (-772)/16 + 9/(-12). Let p = -44 - k. Suppose 8*s - 9 = p*s. Determine t(s). -14 Let u(p) = 73*p. Let w(v) = v**3 + 5*v**2 - 9*v - 12. Let o be w(-1). Give u(o). 73 Suppose 0 = 4*r - b - 10, -3*b = r - 2*b - 5. Let v be 3/(r/(-1)) + (-1)/(-1). Suppose v = 15*m - 18*m. Let d(q) = -q**3 - q + 11. Calculate d(m). 11 Let d(u) = 2*u**3 + 3*u**2 - 2. Let c be d(-1). Let j be (-11)/(21/21 - (1 + c)). Let i = j + 17. Let z(m) = m - 6. Give z(i). 0 Let v(b) = b**3 + 5*b**2 - 8*b - 4. Let c(i) = -i**3 + 18*i**2 - 2*i + 62. Let q be c(18). Let u be (13/(q/(-12)))/1. What is v(u)? 8 Let i be (-13)/(117/(-90)) - 6. Let y be 7 - (1 - 1 - 3). Let h(s) = -1 + i*s + 2 + 13*s**2 - y*s**2 - 2*s**3. What is h(3)? -14 Let s(q) = -139105910 + 139105905 - 15*q + 6*q. Let i = 5 + -10. Determine s(i). 40 Let b = -4 + 8. Suppose 342 = 15*f - 273. Let h(g) = -f*g + g**2 - 49*g - 45*g + 131*g - 1. Determine h(b). -1 Let t(h) be the second derivative of -h**4/4 + 3*h**3/2 + 3*h**2 + 220*h. What is t(6)? -48 Let q = 312 + -310. Let o be (3/(-3) + 1)/q. Let u(g) = -g - 19. What is u(o)? -19 Let q = -3426 + 3429. Let j(l) be the first derivative of -l - 13 + 1/4*l**4 + 1/2*l**2 + 2*l**q. Give j(-6). -7 Suppose 0 = f - 5*k - 9, -f + 2*k + 5 = -2*f. Let g(w) be the third derivative of -w**5/30 - w**3/6 + 6239*w**2. Calculate g(f). -3 Let h(b) = 1 + 6 - 60*b**2 + 111*b**2 - 50*b**2 + 8*b. Let a = -14 + 8. Give h(a). -5 Suppose -752 = 3*z - 725. Let c be 5/2*z/(225/40). Let n(u) be the second derivative of u**3/2 + 2*u**2 - u. Give n(c). -8 Let d(w) = 0*w + 5 - 12 - w. Let s be ((9/(-12))/(-3))/((-471)/16956). What is d(s)? 2 Let a = 185 - 183. Let t(v) = 3 - v - 1 - 59*v**a - v**3 + 60*v**2. What is t(3)? -19 Let h(s) = -s**3 + 10*s**2 - 10*s + 2. Suppose 2*c = 4*o - 40 + 390, 5*c + 5*o = 905. Let x = c + -170. What is h(x)? -7 Let l(o) be the third derivative of -o**5/30 + 4*o**4/3 - 7*o**3/3 + 318*o**2 - 1. What is l(16)? -14 Let u(j) = j + 24. Let p be u(-20). Suppose -p*o + 5*o = 0. Suppose o = -2*t + g + g + 10, -g - 6 = -2*t. Let i(a) = 4*a**2 + a - 1. Determine i(t). 4 Suppose 0 = -5*p - 55 + 70. Suppose 5*m = -2*i + 31, 21 = p*i + 2*m + 2. Suppose 10 = -5*f, -7 = i*n + 2*f - 0. Let o(r) = -3*r. Determine o(n). 3 Let g = -459 + 499. Suppose 18 = g*i - 34*i. Let s(u) = -3*u - 4. Give s(i). -13 Let h = -200 + 209. Let q(n) be the first derivative of -12*n - 4 + 5*n**2 - 1/3*n**3. Give q(h). -3 Let n(r) = 2*r - 306. Let i(p) = -p + 33. Let a(t) = -6*i(t) - n(t). Determine a(-25). 8 Suppose 6*a - 7426 = -7426. Let x(z) be the third derivative of a*z + 0 + 1/60*z**5 + 9*z**2 - 1/2*z**3 - 1/4*z**4. Determine x(4). -11 Suppose 180621 - 180634 = -b. Let u(p) = p - 30. Determine u(b). -17 Let o(i) = -3*i + 116. Let k = -2231 - -2268. Determine o(k). 5 Let q(s) = -s**3 + 11*s**2 + 14*s + 16. Let w be 3*28/(-56)*12/(-9) - -10. Calculate q(w). 40 Let p(x) = -x**3 + x**2 + 8*x. Suppose 0 = 12*g - 3*g - 36. Determine p(g). -16 Let c = 115 - 99. Let r be (-2)/(c/12)*(-8)/3. Suppose -2*g - r*g + 24 = 0. Let i(p) = -p**3 + 3*p**2 + 4*p - 2. What is i(g)? -2 Let z(l) = 3*l**3 - 2*l**2 - 2*l**2 + l**2 + l**2 + 1. Let f = 3341 - 3340. What is z(f)? 2 Let q(z) = -z**3 + 6
{ "pile_set_name": "DM Mathematics" }
702 What is the common denominator of 29/1200 and -187/1200? 1200 Find the common denominator of 121/2898 and -103/84. 5796 What is the least common multiple of 272 and 646? 5168 Find the common denominator of -43/27 and 139/54. 54 What is the common denominator of -25/812 and -109/10? 4060 Calculate the least common multiple of 3575 and 550. 7150 Calculate the common denominator of -60/77 and 7. 77 Calculate the lowest common multiple of 322 and 276. 1932 Calculate the common denominator of 125/8466 and 83/2. 8466 Find the common denominator of 31/6 and 101/188. 564 Calculate the least common multiple of 12 and 234. 468 What is the common denominator of -67/14 and -21/8? 56 What is the lowest common multiple of 18988 and 18? 170892 Calculate the lowest common multiple of 33 and 111. 1221 Calculate the common denominator of -113/744 and -59/88. 8184 Calculate the least common multiple of 2796 and 4. 2796 Calculate the lowest common multiple of 1 and 471. 471 Calculate the least common multiple of 550 and 150. 1650 Calculate the smallest common multiple of 6 and 198. 198 Calculate the common denominator of 43/24 and 37/90. 360 Calculate the least common multiple of 44 and 16. 176 What is the least common multiple of 256 and 56? 1792 Calculate the common denominator of -115/6 and -19/3833. 22998 Calculate the lowest common multiple of 20 and 80. 80 Find the common denominator of -43/1152 and 115/6. 1152 Calculate the lowest common multiple of 132 and 6. 132 What is the common denominator of 31/130 and 39/110? 1430 Find the common denominator of 3/7 and -29/72. 504 Find the common denominator of 45/16 and -15/191. 3056 Find the common denominator of 21/262 and 119/18. 2358 What is the least common multiple of 9904 and 18? 89136 What is the common denominator of 95/32 and 39/560? 1120 What is the smallest common multiple of 16 and 487? 7792 Find the common denominator of -43/160 and -58/35. 1120 Calculate the common denominator of 55/1136 and 73/10. 5680 What is the lowest common multiple of 3940 and 8? 7880 Calculate the common denominator of 7/50 and -4/63. 3150 What is the common denominator of 33/170 and -3/68? 340 What is the least common multiple of 654 and 16? 5232 Calculate the common denominator of 93/220 and 27/88. 440 What is the common denominator of -58/3555 and -11/6399? 31995 Calculate the common denominator of 11/272 and 33/2176. 2176 What is the common denominator of -23/255 and 56/65? 3315 Calculate the lowest common multiple of 16 and 1326. 10608 Calculate the common denominator of 9/10 and 89/580. 580 Calculate the least common multiple of 60 and 180. 180 Find the common denominator of 101/88 and -49/121. 968 Find the common denominator of -14/55 and -119/10. 110 Calculate the lowest common multiple of 72 and 162. 648 What is the lowest common multiple of 412 and 144? 14832 What is the lowest common multiple of 928 and 56? 6496 What is the common denominator of -54/49 and 18/511? 3577 Calculate the lowest common multiple of 736 and 920. 3680 Find the common denominator of -83/8 and -51/10. 40 Calculate the common denominator of -67/11928 and 51/20. 59640 Find the common denominator of 63/22 and 89/66. 66 Calculate the least common multiple of 144 and 18. 144 What is the smallest common multiple of 9 and 501? 1503 Calculate the smallest common multiple of 525 and 315. 1575 Calculate the common denominator of 79/8680 and -13/12. 26040 Calculate the common denominator of 95/16 and 123/4928. 4928 Calculate the common denominator of 61/42 and 56/123. 1722 Find the common denominator of 125/2196 and -13/33. 24156 Calculate the common denominator of -18/19 and -54/247. 247 Calculate the common denominator of -69/262 and -79/34. 4454 What is the lowest common multiple of 2317 and 7? 2317 What is the smallest common multiple of 48 and 64? 192 Find the common denominator of -67/188 and -2/7. 1316 Find the common denominator of -41/2122 and 69/22. 23342 Find the common denominator of 58/275 and 19/375. 4125 What is the lowest common multiple of 893 and 665? 31255 Find the common denominator of -31/29 and -58/7. 203 What is the common denominator of -1/42 and 13/56? 168 Find the common denominator of -33/20 and 93/40. 40 Calculate the least common multiple of 15118 and 14. 105826 Find the common denominator of 89/50 and -41/12020. 60100 What is the common denominator of 75/232 and -39/34? 3944 Calculate the smallest common multiple of 405 and 429. 57915 Calculate the common denominator of -107/6 and 11/42. 42 Calculate the lowest common multiple of 8 and 32. 32 Calculate the common denominator of -45/4 and 139/420. 420 What is the common denominator of -37/1728 and -55/54? 1728 What is the common denominator of 56/9 and 31/795? 2385 Find the common denominator of 1/56 and -19/140. 280 What is the common denominator of 41/162 and -1/324? 324 Calculate the least common multiple of 24 and 718. 8616 Calculate the smallest common multiple of 2 and 14346. 14346 What is the least common multiple of 208 and 10? 1040 What is the least common multiple of 209 and 19? 209 Calculate the least common multiple of 85 and 140. 2380 Calculate the common denominator of -29/3880 and 17/4. 3880 Calculate the lowest common multiple of 159 and 1696. 5088 What is the smallest common multiple of 60 and 420? 420 What is the common denominator of 21/43 and -43/20? 860 Find the common denominator of 57/1498 and 15/428. 2996 Calculate the smallest common multiple of 4 and 936. 936 What is the least common multiple of 119 and 170? 1190 Calculate the common denominator of -61/196 and 53/784. 784 What is the smallest common multiple of 219 and 366? 26718 What is the common denominator of 53/33 and -49/159? 1749 Calculate the common denominator of -85/152 and -19/28. 1064 Calculate the lowest common multiple of 13804 and 20. 69020 What is the common denominator of 9/4 and 41/481? 1924 Calculate the common denominator of 87/16 and -17/452. 1808 Calculate the common denominator of -143/270 and -53/81. 810 Calculate the lowest common multiple of 13 and 1822. 23686 Find the common denominator of -151/1032 and 73/1548. 3096 What is the lowest common multiple of 396 and 44? 396 What is the lowest common multiple of 8 and 126? 504 Calculate the common denominator of 107/1860 and -149/36. 5580 Calculate the common denominator of -9/1775 and -47/2130. 10650 Calculate the least common multiple of 36 and 1224. 1224 Calculate the smallest common multiple of 2620 and 8646. 86460 Calculate the smallest common multiple of 66 and 300. 3300 What is the common denominator of 21/2 and -20? 2 What is the least common multiple of 174 and 232? 696 Calculate the common denominator of -76/15 and -167/30. 30 What is the lowest common multiple of 165 and 105? 1155 Find the common denominator of -91/22 and 31/21728. 239008 Find the common denominator of -145/1116 and 41/1364. 12276 What is the smallest common multiple of 1386 and 81? 12474 What is the common denominator of 39/1520 and -74/15? 4560 Calculate the common denominator of 97/308 and 27/224. 2464 What is the common denominator of 167/168 and -1/450? 12600 Find the common denominator of -113/30 and -74/15. 30 What is the lowest common multiple of 312 and 1040? 3120 Calculate the lowest common multiple of 221 and 31. 6851 What is the lowest common multiple of 15 and 420? 420 What is the smallest common multiple of 10 and 923? 9230 Find the common denominator of -51/176 and 111/308. 1232 Calculate the least common multiple of 20 and 96. 480 Find the common denominator of -69/200 and -87/20. 200 Calculate the lowest common multiple of 414 and 3. 414 Calculate the lowest common multiple of 18 and 81. 162 Calculate the smallest common multiple of 70 and 140. 140 Calculate the common denominator of 16/115 and 22/23. 115 What is the lowest common multiple of 64 and 224? 448 What is the smallest common multiple of 468 and 60? 2340 Calculate the common denominator of 107/30 and 5/3531. 35310 What is the common denominator of -49/36 and -38/63? 252 Find the common denominator of 16/2259 and -41/753. 2259 What is the least common multiple of 440 and 110? 440 Calculate the least common multiple of 1190 and 20. 2380 Find the common denominator of
{ "pile_set_name": "DM Mathematics" }
4)? -31/5 ((-10)/((-340)/(-153)))/(4*9/408) -51 Evaluate (60/80)/(10416/(-1344)). -3/31 Evaluate (15/9)/((-355)/(-5325)). 25 What is the value of 1/4*(-108)/4410*10*1764/1701? -4/63 Calculate ((-5)/(-32))/(100*(-9)/600). -5/48 What is (184/460)/(-6*9/8505)? -63 What is 10/(-25)*(-195)/(-89232)*13? -1/88 Evaluate ((-16)/32)/(-1)*(-2)/3*0. 0 What is (-10)/6*(-65)/((-39000)/(-80))? 2/9 What is the value of 20/875*17/(-51)*24/16? -2/175 Calculate (((-6)/7)/(-3))/(((-2640)/11088)/((-75)/(-18))). -5 Calculate (17/119)/(2/(-12))*(-126)/3. 36 (450/(-80))/((-98)/(-112))*(-21)/5 27 -2*(-35)/40*(-240)/(-36)*(-18)/(-5) 42 Calculate (72/50*(-1290)/774)/(1/(-50*1)). 120 Calculate (-142984)/(-2344)*10/58255. 2/191 What is the value of (9/2)/(196/((-54880)/(-126)))? 10 Calculate ((-545)/327)/(60/2232). -62 (-261)/(-1450)*-10*160/(-12) 24 Evaluate (-6*1*2*3/(-2286))/((-17956)/8978). -1/127 (3/2)/((178/16465)/(4/(-15))) -37 What is the value of ((1075/(-25))/430)/((-2)/(-580))? -29 Evaluate (696/3)/(7824/(-978)). -29 Calculate 2*2*1/6*(1596/(-84))/(-114). 1/9 -21*(-82)/96432*-2 -1/28 What is (-7)/(343/518)*(-16)/((-160)/35)? -37 What is the value of ((-105831)/6414)/(2/(-1*4))? 33 What is (15*(-11)/2541*64/(-80))/((-2)/7)? -2/11 Evaluate (((675/(-30))/9*-20)/(-1))/2. -25 What is the value of ((-110)/70)/((-20)/40*4/(-14))? -11 Evaluate (-4960)/4000*125/5. -31 Evaluate (2/148)/(14/(-20)*125*38/(-2660)). 2/185 What is the value of (5776/12996)/(4/198*1)? 22 What is (117312/(-16120))/188*(-2)/(-3)*-5? 4/31 Evaluate ((-12*5/(-50))/(27/20))/((-70)/420). -16/3 Calculate 1744/(-1635)*(-4)/(-32). -2/15 Calculate (-1641)/147690*3/16*(-130)/39. 1/144 What is (-75)/(-5)*936/(-111150)*(-10)/12? 2/19 ((-1540)/(-63))/(-11)*3564/(-264) 30 Calculate (-10)/(-4)*-3*80/(-75)*(-2241)/(-3486). 36/7 Calculate ((-20)/4*-2)/(158/711). 45 Evaluate (((-90)/150)/(-4*(-2)/(-10)))/((-3807)/(-188)). 1/27 Calculate 150/9*(-18627)/4435. -70 (9/(-180)*5)/(123/656*12/(-747)) 83 What is the value of 1/(((-72)/192)/(30/160)*1)? -1/2 (-8*3127/472)/(2/(-2)) 53 What is the value of ((-3480)/80)/(((-177)/590)/((-1)/(-5)))? 29 ((-5200)/52)/4400*4*1 -1/11 Evaluate 735/(-784)*-12*(-20)/15. -15 Evaluate (-66)/(126/924*22). -22 (-4)/8*(15808/190)/26 -8/5 What is the value of (3451/116)/(-17)*(1*-6)/((-135)/(-18))? 7/5 60/266*(-6)/7*(-147)/36 15/19 What is the value of (-2750)/(-75)*(-30)/(-50)*2? 44 Calculate (((-506)/184)/((-2)/(-2)))/(5/(-20)). 11 Calculate (-607)/(6980500/(-750))*-1*(-2)/(-3). -1/23 What is (660/9)/20*-7*2/42? -11/9 6/((-615)/574*9/15) -28/3 What is the value of ((-342)/(-570))/(((-368)/(-2000))/(-23))? -75 Calculate 14/(((-41328)/(-1350))/164). 75 What is the value of 85/120*20835/78710? 3/16 What is (500/(-500))/(((-18)/(-28))/9)? -14 Calculate ((-56)/(-18))/((((-104)/(-9))/(-26))/((-36)/9)). 28 ((-8)/152)/((-361)/(-6859)) -1 What is (-2)/(((-73)/(8979/(-3526)))/(((-3)/9)/(-1)))? -1/43 What is the value of 40/(-17630)*-43*287? 28 What is the value of (((-88)/(-264))/(145/(-30)))/(207/23)? -2/261 Evaluate 544/(-476)*5/(-40)*-28. -4 What is (-10)/(-6)*(-508)/(-127)*45/(-20)? -15 Calculate ((-2)/6)/(-8*75/270*6/(-16)). -2/5 Evaluate (63/21*((-21)/6)/1)/((-6)/4). 7 Calculate 12/(92*(-37)/(-21275)). 75 What is 90/180*(828/3)/(-3)? -46 What is 26*(-51)/(-78897)*(-84)/24? -1/17 What is (-48)/(-9)*(-44)/((-10780)/147)? 16/5 What is the value of ((-6776)/(-35574))/((2/1)/(-24))? -16/7 What is the value of -1*11*(-683202)/(-96349)? -78 What is the value of (35/(-5))/(-21)*-9*(-13)/(104/(-184))? -69 ((-3)/(3/1))/31*600/900 -2/93 What is ((-45)/72*44)/((-803)/146*2/22)? 55 What is the value of (-6)/(-21)*70/(-200)*15? -3/2 Calculate 9/30*(-24)/(-36)*-7. -7/5 (-4)/(-330)*11*(16/384)/(8/(-60)) -1/24 Calculate (159536/(-13806))/((-8)/18). 26 What is the value of (2/63)/(1144/(-1248)*(-8)/(-44))? -4/21 (17244/64665*(-90)/28)/(4/(-14)) 3 What is (144/104)/(1086/77649)? 99 Evaluate (7/45)/(107912/(-38540)). -1/18 What is the value of (-78)/8*((-38)/171)/((564/(-144))/47)? -26 Calculate (-10*(-1)/105)/(1144/12012). 1 (-2)/(((-33)/4)/11*(16112/(-12))/19) -2/53 (-3)/18*6/(-18)*-12*-21 14 What is the value of (((-4)/2)/2)/((-760)/(-608)*(-8)/(-135))? -27/2 What is ((-10)/(-5600)*20)/((-3)/(-12))? 1/7 Evaluate 21/(-44)*(-72)/54*-14*(-15)/9555. 2/143 (2/12)/((-5)/(-65))*330/(-3520)*96 -39/2 What is the value of 7/(-931)*-7*(-36)/6? -6/19 What is ((-3883)/1059)/(1705/(-60))? 4/31 Evaluate (-6*(-15)/(-4))/(5147/10294). -45 What is the value of (138/(-5))/2*((-3580)/5370)/((-4)/(-10))? 23 (20/(-175))/(6*(-3)/(-45))*14/10 -2/5 What is 565/(-226)*((-672)/1085)/8? 6/31 What is (-34*(-102)/(-4335))/((32/(-260))/(-4))? -26 (207*(-324)/(-33534))/((-2)/(-8)) 8 What is the value of (((-4704)/160)/(-49))/27? 1/45 Evaluate ((-2)/(-992))/((-11126)/890080). -5/31 What is 780/(-2080)*-6*(-24)/(-1215)? 2/45 What is the value of 11816/32072*6*(4/(-42))/((-2)/3)? 6/19 Calculate ((-4)/45*-1)/(((-63936)/(-80))/(-222)). -2/81 What is ((-11098)/537)/(1*((-24)/9)/(-2))? -31/2 108/(-3645)*-8*(-5)/96 -1/81 What is the value of ((-35)/(-4))/((-846)/(-5922)*(-14)/(-16)*-2)? -35 Evaluate (7434/(-1044))/(-59)*((-192)/(-28))/3. 8/29 Evaluate (((-5)/25)/(18/(-15)))/((-3075)/2050). -1/9 Evaluate ((4/(-6))/((2/1026)/(4/36)))/(-2). 19 (1/((-12)/39))/((609/29)/(-168)) 26 What is ((-26)/(-39)*26)/((-8)/600*-25)? 52 Calculate ((-1)/(-2))/(((-28)/((-66528)/(-180)))/((-10)/1)). 66 Evaluate (177*(-6)/81)/(678/3051). -59 Evaluate (12/45)/(60654/8271). 2/55 Evaluate 75/10*2076/1730. 9 Calculate (-70*15/(-1890))/((-6)/162). -15 Calculate 316*1513/178*8/272. 79 3*(-20)/(-12)*654/2616 5/4 What is the value of ((176/352)/(38/5))/((-45)/1080)? -30/19 Evaluate (2/(-18))/(2619/164997). -7 What is 20*(-32)/256*(-1856)/(-160)? -29 Calculate 333/(-1036)*4620/(-45). 33 Calculate -1180*64/(-2560)*-2. -59 What is the value of (-5360)/2010*(2/(-8))/(24/(-36))*54? -54 14664/188*(4/10)/(4/(-5)) -39 What is 2/((-12)/306)*(3/9)/((-39)/(-39))? -17 What is the value of 3*(-2)/75*(-960)/288*3/4? 1/5 What is ((-3)/((3/2)/(801/(-445))))/(-3)? -6/5 What is ((-115206)/(-2110))/273*((-1)/(-1))/((-1)/(-1))? 1/5 (-278)/695*3*(-35)/2142*(-8)/(-2) 4/51 What is the value of (-136017)/127*87/(-783)? 119 What is the value of (15651/(-846))/(((-9)/12)/((-5)/((-20)/6)))? 37 What is (-3)/(((-808)/505)/(164/(-30)))? -41/4 What is the value of (198/(-9))/(3036/(-7314))? 53 Evaluate (272/472600*139)/((-2)/(-80)*-6). -8/15 What is the value of (-5)/(-40)*((-8448)/429)/(-32)? 1/13 Calculate (-435*(-16)/1392)/((-10)/(-34)). 17 Evaluate (1224/14960*(-22)/(-1089))/(1/5). 1/121 What is the value of 7*(-3)/(-105)*125/10*(-18952)/(-515)? 92 Evaluate ((2/(-4))/(-1*(-2)/32))/((-46461)/371688). 64 157/((-1324923)/388)*(-72)/(-32) -3/29 Calculate 747/(-664)*108/54. -9/4 What is the value of (((-216)/(-8)*-1)/(-7))/(14/(-49))? -27/2 What is (-4)/(((-1792)/40)/7)*(-28)/(-3)? 35/6 What is -8*(-12)/336*(-294)/(-21)*(-92)/(-8)? 46 Evaluate ((-6)/156)/((-2)/8). 2/13 Calculate (10/(-2325)*-6)/(((-24)/(-15))/4). 2/31 Evaluate (120/96)/((-65)/26)*(24/22)/2. -3/11 What is ((-9)/(-30))/(903/(-1505))*196/2? -49 Calculate (16/(-9))/((-35052)/(-2921)). -4/27 ((42/6)/14)/((-19)/(2280/12)) -5 (-64)/10*(-94)/1692*(-30)/(-20) 8/15 Calculate ((-4246)/386)/(-3*2/3). 11/2 Calculate (165/(-120))/(4026/(-2562)). 7/8 Calculate ((-6)/30*(-105)/(-35))/(1/(-30)*39). 6/13 What is the value of (16/(-104)*4/8)/(6*2/12)? -1/13 Calculate ((-2208)/8280)/(4/(-190))*9/42. 19/7 (3/(195/728))/(7/(-20)) -32 What is ((-694)/347)/(27/486*(-3)/(-8))? -96 What is -1*11*1*287/((-22099)/77)? 11 42*1/3*-3*(-121)/(3388/(-40)) -60 ((39/6)/(-1))/((-4)/(-14)*(-287)/(-492)) -39 Evaluate (30/(-126)*-1)/(175/(-210))*21/19. -6/19 Calculate 49/(392/720)*(-890)/(-1335). 60 Calculate ((-26)/10374*-38)/(342/(-266)). -2/27 Evaluate 1309/88*248/868. 17/4 What is the value of (28/560*20/(-5))/((-9)/60)? 4/3 Calculate 14/6*(-196)/(-147)*(-54)/(-48). 7/2 ((-169)/13)/((-33)/(-33))*5 -65 What is the value of (-2)/(-16)*9*341/(27962/1968)? 27 What is the value of (-3)/(-11)*61/4209*1127*11? 49 Calculate (-8)/(-60)*5*107253/(-18927). -34/9 34*54/(-81)*(-420)/(-112) -85 (232/609*6/52)/(((-8)/7)/4) -2/13 (-7)/(70/12)*(-480)/(-2160) -4/15 What is 42/245*210/75*(
{ "pile_set_name": "DM Mathematics" }
86 = -d. Let n = -42 + d. Sort -3, n, 2 in descending order. 2, n, -3 Let d = -8.9 - -3.9. Sort 10/9, d, 2 in descending order. 2, 10/9, d Let u = 8.01 - 0.01. Let n = -8.4 + u. Put 0.3, -1/8, 0.2, n in descending order. 0.3, 0.2, -1/8, n Let f be (1 - 0) + 16*1. Suppose -4*q + 49 = f. Sort q, -3, 5 in decreasing order. q, 5, -3 Suppose 5*f = -5*k + 15, k + k - 6 = -4*f. Let c(t) = 2*t - 5. Let n be c(4). Suppose 4*y = 4*l - 4, -7*l + 11 = -2*l - n*y. Sort k, 0, l in ascending order. 0, k, l Let a = -259 - -270.7. Let w = 12 - a. Sort -4, w, 1, 4 in decreasing order. 4, 1, w, -4 Let y be (-3)/(-1)*1/(-3). Let z(m) = -12*m**3. Let w be z(y). Suppose -2*x = -2*q, 2*q = x + 5*q + 4. Sort 2, w, x. x, 2, w Let r be 6/10 + (-665)/25. Let x(y) = y**2 - 2*y - 2. Let d be x(-3). Let m = r + d. Sort -5, -1, m in increasing order. m, -5, -1 Let y(p) = -p**2 + 2*p - 1. Let q be y(1). Suppose q = -5*h - 5*a - 50, 0*h = 4*h - 4*a + 56. Let v = h + 2. Put 3, v, 1 in decreasing order. 3, 1, v Let f be 48/26 - (-6)/39. Suppose 2*a - f*b - 14 = 0, -b = -5*a + 25 - 2. Let j be (-132)/(-28) - (-2)/7. Sort a, j, -1 in descending order. j, a, -1 Let u = 16 + 10. Let g = 23 - u. Suppose 3*j = -4*n + 1, -j = -0*n + 2*n - 1. Sort 3, g, j in increasing order. g, j, 3 Let l = 84 - 87. Put l, 3, 4, 20 in decreasing order. 20, 4, 3, l Let o = 144 + -1586/11. Put 5/2, o, 2/7, 1 in decreasing order. 5/2, 1, 2/7, o Let o = 509.01 + -509. Sort 3, -2/9, o, -4/7 in increasing order. -4/7, -2/9, o, 3 Let b = -1076 - -2155/2. Let j = -31/1105 - 2/65. Put j, b, -0.3 in ascending order. -0.3, j, b Suppose -79 + 4 = -3*r. Suppose -n = -5*y - 2*n - r, 3*y + 15 = 3*n. Sort 11, y, 0 in decreasing order. 11, 0, y Let m = -143.25 + 143. Put 0.3, -5, -2, m in descending order. 0.3, m, -2, -5 Let q = 0.007 + -0.107. Let r = -0.5 - -0.2. Sort 0.03, q, r, 0 in descending order. 0.03, 0, q, r Let f = -8.3 - -8. Let g = -0.35 - f. Suppose 0 = 3*l + 7*l + 40. Sort l, -0.5, g in decreasing order. g, -0.5, l Let y = 3.15 - 0.15. Put y, 19, 0.4, 3/8 in descending order. 19, y, 0.4, 3/8 Suppose -2*k - 16 = 2*k. Sort k, -1, -19 in ascending order. -19, k, -1 Let z(n) be the third derivative of -n**4/24 - n**3/6 - 11*n**2. Let x = 2 - 0. Let y be z(x). Put 3, y, 0 in increasing order. y, 0, 3 Let m be (-2)/(-1 + (-5)/(-6)). Suppose -10*q - 131 = -81. Sort q, 4, 3, m in decreasing order. m, 4, 3, q Suppose 4*p - 16 + 20 = 0. Let b(c) = -c**3 - 3*c**2 + 4*c + 9. Let o be b(-3). Sort 4, o, -8, p. -8, o, p, 4 Let v = 8 + -1. Suppose -2*m = -1 - v. Sort 3, 1, m in decreasing order. m, 3, 1 Let v = -138 + 137. Put 3, 0, 28, v in ascending order. v, 0, 3, 28 Suppose 0 = 2*x - 6, -w - 4 = -0*x - 3*x. Suppose -193*h - 10 = -203*h. Sort h, w, 6 in decreasing order. 6, w, h Let n = 291/2 - 144. Suppose 3*x - 1 = 5*x - 3*d, -2*x = -d - 1. Let z be (x/1)/(1 - -1). Sort n, z, 1 in decreasing order. n, 1, z Suppose -266 + 191 = 15*p. Let x = -14 + 10. Put 3, x, p, 4 in ascending order. p, x, 3, 4 Let i = 23 + -15. Let j = i - 4. Let b = -37 + 38. Sort b, 0.2, j in increasing order. 0.2, b, j Suppose -4*d + 0*d = 2*w - 184, -4*w - 217 = -5*d. Let b be -2 + d*1 + 2. Suppose -3*v - 5 = -5*m + 2*v, -3*v = 5*m - b. Sort 1, m, -5 in descending order. m, 1, -5 Let l(a) = -4*a. Let u be l(1). Let y(r) = -2*r - 6. Let t be y(u). Put -3, t, 3, 1 in descending order. 3, t, 1, -3 Suppose -90 = 11*r - 16*r. Suppose 3*d - r = -3*d. Sort -5, 5, d in ascending order. -5, d, 5 Let u be 15*3/9 - 4. Let t = 59/594 + -3/22. Put t, -0.4, u in descending order. u, t, -0.4 Let h = 108.7 - 108.2. Sort h, 2/33, -1, -0.5 in increasing order. -1, -0.5, 2/33, h Let u(r) = r + 5. Let y be u(4). Let o = 10 - -10. Suppose 0 = -0*d + 5*d + o. Put d, -1, y in descending order. y, -1, d Let h = 41/3 + -14. Suppose 181 = 5*p + 6. Let k = 38 - p. Sort h, 4, k in decreasing order. 4, k, h Let q = -92 - -139. Let g = -45 + q. Sort 3, g, 1/7, -3/2 in ascending order. -3/2, 1/7, g, 3 Suppose 46 = 3*r - r. Suppose 25*k = r*k - 34. Let m = -18 - k. Sort 2, m, 4 in descending order. 4, 2, m Let g(b) = b**3 - 21*b**2 + 18*b + 35. Let j be g(20). Let a(s) = -2*s + 5. Let y be a(4). Sort 0, j, y in descending order. 0, y, j Let w = 38 - 39.7. Let n = w + -7.3. Put -4, -1/9, n in descending order. -1/9, -4, n Suppose 2*w - 23 = -5*o, -5*w - 61*o = -66*o - 40. Sort -4, w, 0 in descending order. w, 0, -4 Let d = 300 - 292.78. Let n = -0.98 - d. Let m = n + 8. Put -2/7, 0, m in descending order. 0, m, -2/7 Let r be -2 - 12/(-16) - (-10)/8. Sort 4, -5, 5, r. -5, r, 4, 5 Let i be 1 - (-2 - (-3 - -15)). Let h be (-51)/i - -3 - -1. Let r = -553/3 + 183. Put h, -3, r in descending order. h, r, -3 Let p(k) = k**2 - 12*k + 21. Let n be p(4). Sort 4, 0, -2, n in descending order. 4, 0, -2, n Suppose -5*a = 0, 3*q = 5*q - a. Put 8, 1/2, -2/5, q in descending order. 8, 1/2, q, -2/5 Suppose 9*f - 4*f - 40 = 0. Let b = -0.049 - 32.951. Let x = b + 36. Put x, -2, f in increasing order. -2, x, f Let t = -88 + 87. Let a = -0.9 + -0.1. Let b = a - -1.5. Put -2, b, t in decreasing order. b, t, -2 Suppose -11*q - 216 = -5*q. Let w = q - -32. Put -5, w, -3 in ascending order. -5, w, -3 Let v = 13.3 + -11.3. Sort 4, -2, 7/5, v. -2, 7/5, v, 4 Let q = 29.99 - 30. Let j = 517 - 515. Sort j, q, -0.5, 3 in descending order. 3, j, q, -0.5 Let b = -94.5 - -92. Let w = -0.5 - b. Put -3, w, -1 in decreasing order. w, -1, -3 Let s(j) = j**3 - 4*j**2 - 4*j. Suppose 0 = 23*i - 26*i + 15. Let k be s(i). Suppose 4*c + 5*m = -16, 0*c - k*m = -3*c - 12. Sort -3, c, 2 in descending order. 2, -3, c Suppose 3*c + 20 = 8*c. Suppose -21 = 11*l - c*l. Sort -2, l, -5. -5, l, -2 Let v = -16 - -12. Let s be (-3)/9 - (-14)/(-3). Sort -3, s, v, 1 in descending order. 1, -3, v, s Let d(v) = v**3 - 4*v**2 + 2*v - 3. Let o be d(3). Let c(z) = z**2 + 14*z + 30. Let i be c(o). Sort i, -5, -4 in decreasing order. -4, -5, i Let s(c) = -c - 8. Let x be s(-4). Let y = 14 - 17. Put -21, x, y in descending order. y, x, -21 Suppose 0 = -6*m - 42 + 54. Sort 4, 13, m in ascending order. m, 4, 13 Let p(t) = -t**3 - 4*t**2 + 4*t - 4. Let o be p(-5). Suppose 8*g = 7*g - o. Put -7, -4, 2, g in descending order. 2, g, -4, -7 Suppose -b = 1, 3*b + 11 = 4*z + 12. Sort 0.9, z, -9 in descending order. 0.9, z, -9 Let z be 0 - 1 - -5 - (-8 - -22). Let v = 3 + 1. Let x = 6 + -3. Put x, v, z in descending order. v, x, z Let x = 8 + -4. Suppose 36*m + 56 = 20. Sort x, -1/7, m in descending order. x, -1/7, m Let c = 2 - 5. Let m = -4 + 3. Let t = -3 - m. Sort t, -0.5, c in ascending order. c, t, -0.5 Suppose 0 = -2*a + 6, 27*h + 3 = 24*h - a. Let b(g) = -g**3 - g**2 + 2*g. Let u be b(-2). Put u, h, -1 in descending order. u, -1, h Let z be 9 - 9/(1 - -2). Suppose 0 = z*g - 3*g + 6. Let o = -0.6 + 0.62. Put o, g, -2/5 in increasing order. g, -2/5, o Let f = 481 + -484. Put f, -5, 5 in decreasing order. 5, f, -5 Let k = -4.67 - 0.33. Let f = -2 - -2. Suppose f*u = 4*u - 20. Sort -1, u, k. k, -1, u Let x = -173 - -153. Put 1, -2, 0.1, x in ascending order. x, -2, 0.1, 1 Let s = -69/4 - -17. Let y be (4/48)/(1/2). Sort s, y, -0.4, 0.4 in increasing order. -0.4, s, y, 0.4 Let y = 0.1776 - 0.3776. Sort y, 1, 14 in decreasing order. 14, 1, y Let u(m) = -m**3 - m**2 + m + 5. Let o be u(5). Let l = -1258/9 - o. Sort 4/3, 3/8, l. l, 3/8, 4/3 Suppose t + 7 = -4*q, 2*q + 0 - 4 = 2*t. Put t, 12, 0, 5 in increasing order. t, 0, 5, 12 Let n be (-18 - -17)*(-4)/6. Sort 41/5, n, 0. 0, n, 41/5 Let x = 2335 + -2213. Sort x, -1/2, -1 in decreasing order. x, -1/2, -1 Let j = -0.37 - -0.4. Let d = 21 - 26. Let x be (3 + 3 + d)/((-14)/6). Sort j, -0.5, x in increasing order. -0.5, x, j Let s be 25/(-2)*56/(-140). Sort -3, -4, 14, s in decreasing order. 14, s, -3, -4 Let u = 11.897 + -0.097. Let x = 11.4 - u. Put -2/11, 0, 1/3, x in ascending order. x, -2/11, 0, 1/3 Suppose -219*m + 214*m - 15 = 0. Sort 9, 3, m in decreasing order. 9, 3, m Let i = -205 + 205.5. Sort 4, i, 0.3, -42 in decreasing order. 4, i, 0.3, -42 Let d = -482 - -477. Put -1, 2, d, -26 in descending order. 2, -1, d, -26 Let f = -5434/315 + 155/9. Sort -2/19, -1, -5/2, f in ascending order. -5/2, -1, -2/19, f Suppose -5*j + 5*h - 25 = 0, 61 - 56 = 3*j + 2*h. Sort 12, j, 4 in increasing or
{ "pile_set_name": "DM Mathematics" }
ob of picking 1 z, 2 x, and 1 r. 11/1820 Two letters picked without replacement from {l: 11, d: 3}. Give prob of picking 2 l. 55/91 Three letters picked without replacement from {o: 10, d: 3, w: 2}. What is prob of picking 2 d and 1 o? 6/91 Four letters picked without replacement from ebveeevb. What is prob of picking 2 v, 1 b, and 1 e? 4/35 Calculate prob of picking 1 b, 1 n, and 1 f when three letters picked without replacement from bnbbtbcnbttbfbbbf. 9/170 Four letters picked without replacement from nnnhnnhhnhhnh. What is prob of picking 3 n and 1 h? 42/143 Calculate prob of picking 1 l and 1 z when two letters picked without replacement from {z: 2, l: 1, f: 2, h: 1}. 2/15 Two letters picked without replacement from nzcmwckz. Give prob of picking 1 m and 1 n. 1/28 Three letters picked without replacement from {z: 3, g: 1, q: 2, j: 1}. Give prob of picking 2 q and 1 z. 3/35 Three letters picked without replacement from {a: 5, m: 4, k: 2, w: 5, o: 3}. What is prob of picking 1 w, 1 a, and 1 k? 50/969 Calculate prob of picking 2 i when two letters picked without replacement from {w: 4, i: 6}. 1/3 Four letters picked without replacement from ililliiillleieieje. Give prob of picking 1 e, 1 l, and 2 i. 14/85 Three letters picked without replacement from {k: 2, m: 2}. What is prob of picking 2 m and 1 k? 1/2 Three letters picked without replacement from yttnhtttynhttty. Give prob of picking 3 y. 1/455 Four letters picked without replacement from {k: 3, d: 8, s: 4, l: 2}. Give prob of picking 2 k, 1 d, and 1 l. 12/595 Four letters picked without replacement from jjggjgggggss. What is prob of picking 2 j and 2 g? 7/55 What is prob of picking 1 a and 3 b when four letters picked without replacement from iiiiawvbbaibbii? 8/1365 Four letters picked without replacement from {y: 1, f: 1, l: 2, x: 1}. What is prob of picking 2 l, 1 x, and 1 y? 1/5 Three letters picked without replacement from hhxhhhxhxxxhh. What is prob of picking 3 x? 5/143 Three letters picked without replacement from fjffffjffffffj. What is prob of picking 3 j? 1/364 What is prob of picking 1 l, 1 j, and 1 c when three letters picked without replacement from {c: 2, j: 2, z: 7, l: 4, y: 1, t: 1}? 2/85 Three letters picked without replacement from {t: 13, g: 3}. Give prob of picking 2 g and 1 t. 39/560 Calculate prob of picking 2 b when two letters picked without replacement from {i: 8, s: 7, b: 5}. 1/19 Three letters picked without replacement from cgpgccgp. What is prob of picking 1 g and 2 c? 9/56 Two letters picked without replacement from llll. What is prob of picking 2 l? 1 Two letters picked without replacement from yqeyycyceypcytyqe. Give prob of picking 2 e. 3/136 What is prob of picking 1 c and 3 w when four letters picked without replacement from {w: 2, s: 1, i: 1, x: 6, c: 3}? 0 Calculate prob of picking 3 l when three letters picked without replacement from lylyyyyyyyyylyyyyy. 1/816 Calculate prob of picking 2 p and 1 m when three letters picked without replacement from {d: 1, p: 5, m: 7}. 35/143 Calculate prob of picking 1 m and 3 x when four letters picked without replacement from xxmxxbxxmxxxbxxmxxxx. 91/323 Calculate prob of picking 2 n when two letters picked without replacement from nmnnxnnnxnnnnn. 55/91 Calculate prob of picking 2 a and 2 y when four letters picked without replacement from {a: 3, y: 5}. 3/7 Calculate prob of picking 1 c and 1 n when two letters picked without replacement from vcdncfm. 2/21 Four letters picked without replacement from {t: 6}. What is prob of picking 4 t? 1 Three letters picked without replacement from {i: 1, m: 1, k: 2, w: 1, t: 1, a: 1}. Give prob of picking 1 m, 1 a, and 1 t. 1/35 Two letters picked without replacement from bbhohhobh. Give prob of picking 2 o. 1/36 What is prob of picking 2 h and 1 z when three letters picked without replacement from {z: 1, e: 1, h: 2, n: 4}? 1/56 Four letters picked without replacement from {h: 1, f: 1, e: 2, n: 10, u: 1, y: 5}. What is prob of picking 1 h, 1 y, 1 n, and 1 e? 20/969 Calculate prob of picking 1 d and 2 r when three letters picked without replacement from rdrrgrdrrddrg. 42/143 Two letters picked without replacement from {b: 5, w: 1, g: 1, x: 1, l: 2}. Give prob of picking 2 l. 1/45 Four letters picked without replacement from {h: 8, f: 1, u: 4}. What is prob of picking 1 f, 1 u, and 2 h? 112/715 Two letters picked without replacement from {j: 16, n: 2}. Give prob of picking 2 n. 1/153 Two letters picked without replacement from {m: 16, s: 2}. Give prob of picking 2 m. 40/51 Two letters picked without replacement from {z: 3, p: 4}. Give prob of picking 2 z. 1/7 Three letters picked without replacement from bssbttprbbbtrb. What is prob of picking 1 b, 1 t, and 1 s? 9/91 Calculate prob of picking 1 i and 2 r when three letters picked without replacement from {b: 1, r: 2, i: 1}. 1/4 What is prob of picking 1 e and 1 c when two letters picked without replacement from cetoeeorhrreccot? 1/10 What is prob of picking 1 p and 2 b when three letters picked without replacement from {p: 1, b: 2}? 1 Two letters picked without replacement from {n: 2, f: 4}. Give prob of picking 1 f and 1 n. 8/15 Four letters picked without replacement from {c: 7, a: 1, z: 2}. What is prob of picking 1 c, 1 a, and 2 z? 1/30 Three letters picked without replacement from cucgcuudgoucguuog. What is prob of picking 2 c and 1 u? 9/170 Four letters picked without replacement from {u: 4, g: 6, b: 7}. Give prob of picking 2 g and 2 u. 9/238 Two letters picked without replacement from wjo. Give prob of picking 1 j and 1 w. 1/3 Calculate prob of picking 2 b and 1 m when three letters picked without replacement from {m: 6, b: 13}. 156/323 What is prob of picking 2 k when two letters picked without replacement from {k: 9, l: 2, j: 2}? 6/13 Calculate prob of picking 2 z when two letters picked without replacement from llllzz. 1/15 Calculate prob of picking 1 r and 1 l when two letters picked without replacement from {e: 1, w: 1, l: 1, r: 1, v: 3}. 1/21 What is prob of picking 2 g and 2 n when four letters picked without replacement from {n: 4, g: 7}? 21/55 Three letters picked without replacement from eebpepeep. Give prob of picking 1 p and 2 e. 5/14 What is prob of picking 2 f and 1 s when three letters picked without replacement from ffffffffffsf? 1/4 Four letters picked without replacement from {q: 1, a: 2, c: 1, v: 3}. What is prob of picking 2 v, 1 a, and 1 c? 6/35 Two letters picked without replacement from wsuswusswwwsw. What is prob of picking 1 u and 1 w? 2/13 What is prob of picking 2 s and 2 l when four letters picked without replacement from {l: 2, s: 7, e: 1, h: 4}? 3/143 What is prob of picking 1 q and 3 b when four letters picked without replacement from {b: 4, q: 3, v: 4}? 2/55 Four letters picked without replacement from nppvnvrnapknravpvvv. Give prob of picking 2 r, 1 p, and 1 n. 4/969 Four letters picked without replacement from {n: 3, t: 3, y: 1, z: 2, p: 8, k: 1}. Give prob of picking 1 p, 1 k, 1 n, and 1 z. 4/255 Four letters picked without replacement from {y: 8, a: 1, b: 4, r: 2, o: 2, v: 3}. Give prob of picking 1 r, 2 o, and 1 b. 8/4845 What is prob of picking 2 e and 1 s when three letters picked without replacement from psgpaeagaeekkses? 9/280 Three letters picked without replacement from {f: 6, y: 4, t: 4}. What is prob of picking 2 f and 1 t? 15/91 Four letters picked without replacement from yffgtyytqtffssqfqyqq. What is prob of picking 2 t, 1 y, and 1 f? 4/323 Four letters picked without replacement from {m: 6, v: 5, s: 4}. What is prob of picking 3 v and 1 s? 8/273 What is prob of picking 1 q and 3 m when four letters picked without replacement from {q: 6, a: 6, m: 7}? 35/646 Calculate prob of picking 2 l and 2 e when four letters picked without replacement from eeelell. 18/35 Calculate prob of picking 1 f and 2 h when three letters picked without replacement from ehuuffhuffrfhuuef. 9/340 Four letters picked without replacement from {c: 6, m: 7, e: 4}. What is prob of picking 2 c and 2 m? 9/68 Three letters picked without replacement from {t: 2, p: 4, n: 3, a: 2}. What is prob of picking 1 n and 2 t? 1/55 Four letters picked without replacement from {s: 1, m: 2, q: 2, w: 2, i: 1}. Give prob
{ "pile_set_name": "DM Mathematics" }
) -1 c What is the nearest to -1/11 in -1.6, 1.5, -2/5, 8? -2/5 Which is the closest to -11? (a) -1/29 (b) 4 (c) -3/14 (d) 0 (e) -0.2 c Which is the nearest to -0.1? (a) 3/2 (b) -0.11 (c) -2/37 (d) -1 b What is the nearest to -0.1 in 13, 0, 67/7? 0 What is the closest to 2/433 in 2, -30, -104? 2 Which is the nearest to -14783? (a) 0.3 (b) 2/7 (c) 0.6 b Which is the closest to -0.06? (a) -425 (b) 1/6 (c) 0 (d) -5 (e) -0.6 c Which is the nearest to -2/9? (a) -1 (b) 4 (c) -52 (d) 493 (e) -8 a Which is the nearest to -3/7? (a) -2/5 (b) 5 (c) 15 (d) -2/3 a What is the nearest to -18 in 4/7, -1, 0.5, 3, 18? -1 Which is the nearest to 0.1? (a) -3 (b) 2/15 (c) -138 (d) -0.4 (e) -6 b Which is the nearest to -9? (a) -0.3 (b) -4/3 (c) 0.5 (d) -1/3 b What is the nearest to -0.2 in 1, -4.4, 4/15, 14, -2? 4/15 What is the nearest to 1.4 in 961, -9, 3? 3 What is the nearest to -2 in 3/2, 6, -5, -0.2, 1/13? -0.2 Which is the nearest to 1/3? (a) 2.2 (b) -5 (c) -0.128 (d) -3/4 c What is the nearest to 0.16 in 5, -19, -4? -4 Which is the closest to 2/9? (a) 3 (b) 0 (c) -1 (d) 0.1 (e) 28703 d What is the nearest to 0 in -133, -3, -1.6? -1.6 What is the closest to -1 in 3/7, -40, -0.1, 5? -0.1 What is the closest to -33942 in -0.6, 2/13, 2? -0.6 What is the nearest to 196815 in 1, 0.2, -7? 1 Which is the nearest to 6? (a) -11.1 (b) -0.1 (c) 2.76 c What is the closest to -28.85 in 0.12, -0.5, 1? -0.5 Which is the closest to -54? (a) -3 (b) 1/3 (c) 187 (d) 0.1 a What is the closest to 0.26 in -1/11, -7, -4, 2/9? 2/9 Which is the nearest to 1? (a) 2 (b) -10/71 (c) -0.2 (d) -1 a What is the closest to -118.4 in 1, 0, -5, 0.5? -5 Which is the closest to 2? (a) 5 (b) -2.3 (c) 9 (d) 3 (e) -7 d What is the closest to 1 in -0.5, -17, -3/4, -0.001? -0.001 Which is the closest to -2/7? (a) 265/14 (b) 0.4 (c) 1 (d) 3/7 b What is the nearest to 3 in -3, -3/4, 2232? -3/4 Which is the nearest to -0.2? (a) 298 (b) 0.3 (c) -1/3 c What is the closest to -626 in 5/9, -1/4, 0? -1/4 What is the closest to -7 in 323, -1/5, 2/25? -1/5 What is the closest to 9 in -1904, -4/5, -5? -4/5 What is the closest to 0.1 in -0.062, 2/9, -0.83, -0.07? 2/9 What is the nearest to -2/7 in 0.47, 0, 3, -2, -13? 0 Which is the closest to 225? (a) 139/7 (b) 3 (c) 2/9 a Which is the closest to 13? (a) -1 (b) -2/7 (c) 0.1 (d) -5 (e) 5/11 e Which is the nearest to -1/3? (a) -8 (b) 1/46 (c) -2/15 (d) 2/5 c What is the nearest to 75 in 1, 0.4, 1/44? 1 Which is the closest to -7/4? (a) 1/46 (b) -2/15 (c) 0.1 (d) 0.4 b Which is the closest to -1/90? (a) 5 (b) 1/16 (c) 3 b What is the nearest to 52 in 7/4, -0.3, -0.12? 7/4 Which is the nearest to -3? (a) 10/97 (b) -0.1 (c) 2/3 (d) -1 d Which is the closest to -1? (a) 6/5 (b) -71 (c) 5 (d) 3 a What is the nearest to 3 in 7, -11, -216? 7 Which is the closest to 1? (a) 6 (b) -1 (c) -60/317 c What is the closest to 3 in -1, 1/753785, -3/2, 0.2? 0.2 What is the closest to 2/7 in 15, 0.03, 1, -1/11, -0.012? 0.03 Which is the closest to -0.091? (a) 4 (b) 5/4 (c) -0.3 (d) 1 (e) -1 c What is the nearest to -0.06 in -2, -217, 4/7, -0.1, -2/13? -0.1 Which is the closest to -0.1? (a) -14 (b) 2.1 (c) 1/6 (d) 5 c Which is the nearest to -1/4? (a) -0.4 (b) -0.03 (c) -493/6 a What is the nearest to 0.2 in 0.1, 1, 3, 0.64? 0.1 What is the closest to 0 in 0.3, 2.6, -1.66, -0.4? 0.3 Which is the closest to 244? (a) -2/13 (b) -11 (c) -5 (d) 0.5 (e) 5 e Which is the nearest to -0.1? (a) 1/18 (b) 3 (c) 94 a Which is the nearest to 0.07? (a) 1 (b) 0 (c) 0.067 c What is the nearest to 1 in -1/21, -1, -2/17, -3/7? -1/21 What is the nearest to -1 in -8/9, 1, 52/19? -8/9 Which is the nearest to 2/5? (a) -94 (b) 0.2 (c) -0.1 (d) 5 (e) -0.6 b Which is the closest to -1? (a) 0 (b) -228.8 (c) -3/2 (d) 1/5 c Which is the nearest to 3? (a) -302/5 (b) 2 (c) 1 b What is the nearest to -2 in 2/413, 0.06, 19, 1/3? 2/413 What is the nearest to -2/1361 in 2, -2, -131, 0, 2/5? 0 What is the closest to 0.1 in -2, -4, 0.4, 7, 1484? 0.4 What is the closest to 2/7 in 0.2, -129.5651, 2/9? 2/9 Which is the nearest to 11? (a) 2/11 (b) 2/13 (c) 2 (d) 583 (e) -4 c Which is the nearest to 9? (a) -4 (b) 5 (c) -2.7 (d) -3 (e) -30 b What is the nearest to 1 in 0.02, -15/17, -3? 0.02 What is the closest to -1/4 in -2, 0.04, 0.044? 0.04 What is the closest to -0.4 in 0.5, -0.3, -1.1, -0.2, 42? -0.3 What is the nearest to -2 in 10, -6, 1/6, 3, 13? 1/6 What is the nearest to 1/4 in -2, -300, -2048? -2 What is the nearest to 67 in 3, 4/3, -3, 28? 28 Which is the closest to 55? (a) -0.083 (b) -0.3 (c) -2/5 a Which is the closest to -4.93? (a) 0 (b) -2/9 (c) 3 b What is the nearest to 4.4 in -1/109, -3, 5/4? 5/4 What is the closest to -7 in -1, -1/3, -49? -1 What is the closest to -32 in 0.07, 1/7, -1, 0.6, 1/3? -1 Which is the nearest to 1? (a) 5 (b) -5 (c) -0.9 (d) -80 c Which is the nearest to 13? (a) 2 (b) -7 (c) -2/153 a Which is the nearest to 2/3? (a) -1/32 (b) -0.337 (c) 2 a What is the closest to -1/9 in 3/650, 0, -16? 0 Which is the closest to -107? (a) 5 (b) -279 (c) -0.4 c Which is the closest to 12? (a) 0.4 (b) 974 (c) -1/2 (d) -4/7 (e) 0.5 e Which is the nearest to 4? (a) 1/5 (b) -2/3 (c) -9/4 (d) -3/8 (e) -51 a What is the nearest to 0 in 0.42, -0.11, 3, 0? 0 What is the nearest to 1 in -1/3, 4, -20/9, 1? 1 What is the closest to -1/7 in 0.107, -3/5, -25, 2/13, 5? 0.107 Which is the nearest to 0? (a) 36/11 (b) -7 (c) -1 (d) -267 c Which is the closest to -0.2? (a) -15 (b) 1 (c) -943 b Which is the nearest to 4? (a) -5 (b) 351/2 (c) 0.5 c What is the nearest to 1 in 2/13, -1/17, -21.8, -2/13? 2/13 What is the closest to -0.03 in 0, -2/17, 64? 0 What is the nearest to -2 in 11/24, 2/15, -1, 0.3? -1 Which is the nearest to 10? (a) 2 (b) 9 (c) 0.5 (d) -3 b What is the nearest to -10 in -16, 1, 29/13? -16 What is the nearest to -0.04 in -4, -0.5, 46, 3/7? -0.5 What is the nearest to -2/1007 in 3, 1, 4? 1 Which is the closest to -0.3? (a) -2/3655 (b) -8 (c) -5 (d) -0.2 d Which is the nearest to -346? (a) 5 (b) -0.4 (c) -2 (d) 0.2 c What is the closest to -463 in 2/3, -2, -2/9? -2 What is the nearest to 4 in 615/8, 0, -6, -4? 0 What is the nearest to 0.02 in 2, 0.5, 0.3, -0.32? 0.3 What is the nearest to -2/5 in 4, 5/2, 5, 61? 5/2 Which is the nearest to 1? (a) -5 (b) -83 (c) 0.2 (d) -0.2 c What is the nearest to 0 in -142/5, 0.2, -2? 0.2 What is the closest to -0.1 in -1293, -1/3, -2/13? -2/13 What is the closest to 0.02 in 0.5, -1.71, -1.9, 5? 0.5 Which is the nearest to 0? (a) -4 (b) -1/22 (c) -0.37 (d) 2/17 b What is the nearest to 1/5 in 1/4, -3, -2, 1/141? 1/4 What is the closest to 119 in -5/2, 0.1, -6/143? 0.1 What is the closest to -0.3 in 3/62, 6, -3, 2/5? 3/62 What is the closest to 0 in 55, 3474, -2? -2 Which is the closest to 21? (a) -4/3 (b) 0 (c) -1/6 (d) -5 (e) -4 b Which is the nearest to 3/4? (a) -5 (b) -1/9 (c) 9/2 (d) 1/7 (e) -10/73 d Which is the nearest to 7? (a) -18 (b) 24 (c) 0 (d) -2 c Which is the closest to 0.1? (a) -666 (b) 3/7 (c) 4/11 (d) 22 c Which is the closest to 28? (a) -2 (b) 0.2 (c) -7 (d) -2/55 b Which is the nearest to 2/75? (a) 4 (b) 14 (c) 1 (d) -3 c What is the closest to 2/7 in 34, -7/138, -1.5? -7/138 What is the nearest to 1 in -0.8, 0, 1, 5, -1/4? 1 Which is the nearest to 2? (a) -5 (b) -249 (c) -0.3 (d) 0.5 d Which is the nearest to -1005/4? (a) -0.3 (b) 0.06 (c) 3 (d) 1 (e) 5/3 a Which is the closest to -0.16? (a) -1 (b) -5 (c) -0.1 (d) 1 (e) -46 c What is the nearest to -0.1 in -4/55, 0.05, 2/3, 0.2? -4/55 Which is the closest to -52050? (a) -4 (b) 0.02 (c) 0 a What is the closest to -1/3 in -1, -0.1, 2/29? -0.1 What is the closest to 1/11 in -6.4, -2, 5, 1/2, -1/2? 1/2 Which is the closest to -2/5? (a) 4/5 (b) 1 (c) 2/5 c Which is the closest to 3/11? (a) -0.5 (b) 1/2 (c) -3/4 (d) -40/3 b What is the closest to -1 in 31914, -0.5, 5? -0.5 What is the nearest to -1/24 in 1/3, 1, -6/17? -6/17 Which is the nearest to -13/12? (a) 3 (b) -2 (c) 27 (d) 5/4 b What is the nearest to -6/5 in -2, 8, -9/4, -1? -1 What is t
{ "pile_set_name": "DM Mathematics" }
fy 3*(-2*sqrt(19))**2*5. 1140 Simplify sqrt(24)/(sqrt(8)*2) + sqrt(9)/(sqrt(9)/sqrt(3)). 3*sqrt(3)/2 Simplify sqrt(39)/(-4*sqrt(3)) - (sqrt(832)*4)**2. -13312 - sqrt(13)/4 Simplify sqrt(432) - (sqrt(432) - (-2 + sqrt(432))*1). -2 + 12*sqrt(3) Simplify 1 + (2*(sqrt(3) - sqrt(3)*-1) - -2*sqrt(363)). 1 + 26*sqrt(3) Simplify 0 + 5*sqrt(28) + -3. -3 + 10*sqrt(7) Simplify sqrt(405) + sqrt(5) + (sqrt(5) + -1)*-1. 1 + 9*sqrt(5) Simplify 1*sqrt(112)*-4. -16*sqrt(7) Simplify (sqrt(15) - sqrt(960))/sqrt(5) + -5*5*sqrt(3). -32*sqrt(3) Simplify 4 + -2 + (sqrt(11)*-3 + sqrt(11) + sqrt(11))**2. 13 Simplify -4 + sqrt(76) + sqrt(76)/(sqrt(16)/sqrt(4)). -4 + 3*sqrt(19) Simplify -2*(sqrt(110) - 5*sqrt(110)*-2)/(sqrt(250)*-1). 22*sqrt(11)/5 Simplify (1*sqrt(162))**2*-3*6. -2916 Simplify (sqrt(343) + -2)**2 + 0. -28*sqrt(7) + 347 Simplify ((sqrt(117) - (sqrt(117) + -1*sqrt(117)*1)) + -1*(sqrt(117) + -3*sqrt(117) + sqrt(117) + sqrt(117)))**2. 117 Simplify (1 + ((sqrt(7) + 0)*-1 - sqrt(7))**2)*-6. -174 Simplify (-5 + 2 + -1 + sqrt(7))*4 + -3. -19 + 4*sqrt(7) Simplify (-2 + (-6*(sqrt(1100) - sqrt(1100)*-1) - sqrt(1100)))**2. 520*sqrt(11) + 185904 Simplify (-2*(sqrt(13) + 1) + -3)**2. 20*sqrt(13) + 77 Simplify (1*sqrt(60)/sqrt(2))/(sqrt(6) - (sqrt(36)/sqrt(150) + sqrt(6))). -5*sqrt(5) Simplify (-3*2*(4 + sqrt(1053)))**2. 2592*sqrt(13) + 38484 Simplify (-1*sqrt(196))/sqrt(2). -7*sqrt(2) Simplify sqrt(8) + (((sqrt(64)/sqrt(2))/sqrt(4))**2 - sqrt(8)). 8 Simplify (3 + (sqrt(3) - ((sqrt(12) - sqrt(72)/sqrt(6))/sqrt(4))**2))*3. 3*sqrt(3) + 9 Simplify (-2*sqrt(320) - sqrt(320))**2*-2 - (sqrt(320) + -2*sqrt(320) + -1). -5759 + 8*sqrt(5) Simplify 6*2*((sqrt(245) + -1)*-3)**2. -1512*sqrt(5) + 26568 Simplify -4 + ((sqrt(11) - (sqrt(77)/sqrt(7))**2)*-3 - (sqrt(11)*-1 + -1)). -2*sqrt(11) + 30 Simplify (0 + sqrt(57)/sqrt(3))**2 + 0. 19 Simplify (3*(sqrt(15)/sqrt(3))**2*-2 + -4)*-4. 136 Simplify 2 + 0 + sqrt(162) + -1. 1 + 9*sqrt(2) Simplify sqrt(20)/sqrt(4)*2 + 2. 2 + 2*sqrt(5) Simplify 2*(sqrt(720) + -1). -2 + 24*sqrt(5) Simplify ((sqrt(700) - -3*sqrt(700)) + -1 - (sqrt(700) + (2*sqrt(700) + sqrt(700))*-2))**2. -180*sqrt(7) + 56701 Simplify (sqrt(21) - ((sqrt(168) - 1*sqrt(168))/sqrt(8) - sqrt(21)))/((2*sqrt(56))/sqrt(8)). sqrt(3) Simplify sqrt(28)*5 + -4. -4 + 10*sqrt(7) Simplify -6*3*(sqrt(99))**2 - (2 + -4 + sqrt(44))**2. -1830 + 8*sqrt(11) Simplify (3 + sqrt(275) + 0)**2. 30*sqrt(11) + 284 Simplify sqrt(27)/(sqrt(9) - (sqrt(108)*1 - sqrt(108))/sqrt(12)). sqrt(3) Simplify (sqrt(156)*1)/sqrt(12) + -3*(1 + sqrt(13))**2. -42 - 5*sqrt(13) Simplify sqrt(19) + sqrt(931) + -3 + sqrt(133)/sqrt(7) + 3. 9*sqrt(19) Simplify (-6*(sqrt(15) + (sqrt(15) - (sqrt(15) - sqrt(15)*1))) - sqrt(15))/(-3*sqrt(27)). 13*sqrt(5)/9 Simplify -1*5*sqrt(44). -10*sqrt(11) Simplify (sqrt(931) - -1*(1 + sqrt(931))) + 2. 3 + 14*sqrt(19) Simplify (sqrt(3) - sqrt(6)/sqrt(2)) + 4 - sqrt(3) - (sqrt(33)/sqrt(99) + sqrt(3)). -7*sqrt(3)/3 + 4 Simplify 1 + (-5 + sqrt(448)*2 - sqrt(448)). -4 + 8*sqrt(7) Simplify sqrt(4)/(sqrt(162)*1). sqrt(2)/9 Simplify 6*sqrt(39)/sqrt(3)*-6. -36*sqrt(13) Simplify (sqrt(5)*-1 + -5)*2. -10 - 2*sqrt(5) Simplify sqrt(78)/(sqrt(726)*-1). -sqrt(13)/11 Simplify (1*sqrt(1100))**2*3. 3300 Simplify 2*((sqrt(272) + -3)**2 - (-2*sqrt(17) + 4)). -44*sqrt(17) + 554 Simplify (sqrt(168)/(-2*sqrt(8)))/(sqrt(432)*1 + sqrt(3) - sqrt(3) - sqrt(3)). -sqrt(7)/22 Simplify -3 + (sqrt(54)/sqrt(3))/sqrt(9). -3 + sqrt(2) Simplify 4*((sqrt(14)/sqrt(2) + 1)**2 + sqrt(7) + (sqrt(7) - (sqrt(7) - (sqrt(7) + 2 + -1))**2)). 28 + 16*sqrt(7) Simplify ((sqrt(10) - -2*sqrt(90))/sqrt(5))**2 + 5. 103 Simplify (((sqrt(110) - -2*sqrt(110)) + sqrt(110) + sqrt(110))*-2 + sqrt(110))/sqrt(10). -9*sqrt(11) Simplify -6*(sqrt(20) + 5). -30 - 12*sqrt(5) Simplify sqrt(17) + sqrt(68) + 3 - (-5*(sqrt(17) + (sqrt(68) - sqrt(17)) + sqrt(17)))**2. -3822 + 3*sqrt(17) Simplify (sqrt(2835)/sqrt(7) - sqrt(5)) + (-2 + sqrt(5) + -2)**2. 21 Simplify ((sqrt(7) + 2 + 5)*3)**2. 126*sqrt(7) + 504 Simplify ((sqrt(2299) - 2*sqrt(2299))**2*5 + 1)*1. 11496 Simplify (1*sqrt(504))/(4*(sqrt(2) + sqrt(6)/sqrt(3))). 3*sqrt(7)/4 Simplify ((sqrt(180) - 1*sqrt(180))*-2 - sqrt(180) - sqrt(180) - (6*(1 + sqrt(180)) + sqrt(180)))**2. 648*sqrt(5) + 14616 Simplify ((5 + sqrt(17) + -2 - sqrt(17)) + (sqrt(85)*2)/sqrt(5))**2. 12*sqrt(17) + 77 Simplify ((1*sqrt(350))/sqrt(10))/sqrt(7). sqrt(5) Simplify -4 + -1*sqrt(2) + (sqrt(2) - sqrt(4)/sqrt(18)). -4 - sqrt(2)/3 Simplify (5 + sqrt(153)/sqrt(36) + (sqrt(170) + sqrt(170) + 1*sqrt(170)*6)/sqrt(10))**2. 85*sqrt(17) + 5013/4 Simplify (sqrt(243) + 2 + 0)**2. 36*sqrt(3) + 247 Simplify ((sqrt(400) - (sqrt(400)*1 - sqrt(400))) + sqrt(400))/(sqrt(8) + sqrt(288) + sqrt(8))*5. 25*sqrt(2)/4 Simplify (sqrt(1100) - 1*sqrt(1100) - sqrt(1100))/(sqrt(144)*-2 - sqrt(144))*6. 5*sqrt(11)/3 Simplify (4 + 3 + (sqrt(288) - sqrt(288)*-2) + -4)**2. 216*sqrt(2) + 2601 Simplify (3*sqrt(77)*1 + sqrt(77) - sqrt(77) - sqrt(77))/(sqrt(448)*2). sqrt(11)/8 Simplify sqrt(12)/(-1*sqrt(6)) - sqrt(54)/sqrt(3). -4*sqrt(2) Simplify (sqrt(700) - (2 + sqrt(700)*-1 + sqrt(700)))**2 - sqrt(77)/((sqrt(11) + sqrt(11)*2 + sqrt(11))*-4). -639*sqrt(7)/16 + 704 Simplify 6*2*sqrt(72) + (-2*(sqrt(72) + sqrt(72) + 0 + sqrt(72)) - sqrt(72) - sqrt(72))**2. 72*sqrt(2) + 4608 Simplify -1 + -1*sqrt(17) - (-4 + (sqrt(17) - (1*sqrt(17))**2)). -2*sqrt(17) + 20 Simplify (sqrt(15)/sqrt(5) + 2 - sqrt(3)) + 2 + sqrt(3) + 3 + -1. sqrt(3) + 6 Simplify (sqrt(684) - 4*(sqrt(684) + -1))**2 + -3. -144*sqrt(19) + 6169 Simplify (sqrt(13) + -1)*4 + (5*sqrt(104))/sqrt(8). -4 + 9*sqrt(13) Simplify ((-2*sqrt(13) + sqrt(13))*-1)**2 - 4*(sqrt(13) + sqrt(26)/sqrt(2)). -8*sqrt(13) + 13 Simplify -5 + (sqrt(162) - sqrt(162)*-3) + -5. -10 + 36*sqrt(2) Simplify (3 + sqrt(1100) + sqrt(1100)*1)**2. 120*sqrt(11) + 4409 Simplify sqrt(19) + 4 + sqrt(19) + 2 + sqrt(19) - (sqrt(304)*-2 - sqrt(304)). 6 + 15*sqrt(19) Simplify ((sqrt(3600) - sqrt(3600)*4)/sqrt(5))**2. 6480 Simplify sqrt(35)/(sqrt(35)/(sqrt(7)*-2)). -2*sqrt(7) Simplify (2*sqrt(153) + -2)**2. -24*sqrt(17) + 616 Simplify 1 + (-1 + sqrt(1300) + -1 + sqrt(52))**2. -48*sqrt(13) + 1877 Simplify 2*sqrt(468)*3. 36*sqrt(13) Simplify sqrt(22)/(-1*sqrt(11)) - (sqrt(4)/sqrt(2)*-4 - sqrt(2)). 4*sqrt(2) Simplify sqrt(5) - -6*sqrt(45) - 4*sqrt(20)/sqrt(4). 15*sqrt(5) Simplify (0 + sqrt(96)/sqrt(3))*6. 24*sqrt(2) Simplify (sqrt(45) - -4*2*sqrt(45))/(sqrt(36)/sqrt(4)*1). 9*sqrt(5) Simplify -1 + -2 + 0 + sqrt(3). -3 + sqrt(3) Simplify (sqrt(10) + sqrt(10) + sqrt(20)/sqrt(2)*3 - sqrt(10))/(sqrt(45)*-1). -4*sqrt(2)/3 Simplify (sqrt(891) - (sqrt(891) + 1 + sqrt(891) + -3) - (sqrt(891) + 0 + -1 + sqrt(891)))**2 + 0. -162*sqrt(11) + 8028 Simplify 3 + sqrt(1584) + sqrt(1331) + sqrt(1331) + 3. 6 + 34*sqrt(11) Simplify -1*(sqrt(605) - (1 + sqrt(605))). 1 Simplify (sqrt(1100)*5)**2 + sqrt(11) + -1*sqrt(891) + sqrt(11). -7*sqrt(11) + 27500 Simplify -3 + (3*-4*(sqrt(5) - -5*sqrt(5)))**2. 25917 Simplify sqrt(104)/sqrt(2) + sqrt(52) + 3 - (-3 + sqrt(637) + 1)**2. -638 + 32*sqrt(13) Simplify (sqrt(275) + -1 + sqrt(275))**2 - sqrt(11) - (1 + sqrt(11) + -1)**2. -21*sqrt(11) + 1090 Simplify ((0 + sqrt(20)/sqrt(4))**2 - sqrt(5)) + -2. -sqrt(5) + 3 Simplify 3 + -6*(1 + sqrt(17))**2*-2. 24*sqrt(17) + 219 Simplify (2*(sqrt(114) - sqrt(114)*2))/(sqrt(6) + sqrt(6) + -1*sqrt(486)). 2*sqrt(19)/7 Simplify 3*-3*sqrt(3) - (4 + sqrt(3) + 5). -10*sqrt(3) - 9 Simplify (3*(sqrt(11)*2 + sqrt(11))*-6)**2. 32076 Simplify sqrt(891)*-1 + -5. -9*sqrt(11) - 5 Simplify 4 + (sqrt(336)*2 - sqrt(21))/sqrt(7) + 3. 7 + 7*sqrt(3) Simplify 2*(sqrt(5) + (sqrt(125) - sqrt(5))) + 4. 4 + 10*sqrt(5) Simplify 4 + sqrt(10)/sqrt(2) + 2 + sqrt(5). 2*sqrt(5) + 6 Simplify (-1*sqrt(304) + sqrt(19) + (0 + sqrt(931))**2)*6. -18*sqrt(19) + 5586 Simplify ((sqrt(204) + sqrt(204)*3 + sqrt(204))*3)/sqrt(12). 15*sqrt(17) Simplify sqrt(847) + 1 + -4. -3 + 11*sqrt(7) Simplify 3 + 3*(sqrt(77) - sqrt(77)*3 - sqrt(77))/sqrt(7). -9*sqrt(11) + 3 Simplify (sqrt(12)/(sqrt(28)/sqrt(175)))**2. 75 Simplify (-2 + 2*(-1 + sqrt(128)) + 3)**2. -32*sqrt(2) + 513 Simplify (sqrt(700) - (sqrt(700)*3 - sqrt(700)) - sqrt(700))**2 + (-3 + sqrt(252))**2. -36*sqrt(7) + 3061 Simplify (sqrt(1008) + 2*sqrt(1008))/((sqrt(576)*-2 - sqrt(576)) + sqrt(4)).
{ "pile_set_name": "DM Mathematics" }
cement from {c: 2, m: 2}. What is prob of picking 2 c? 1/6 Calculate prob of picking 3 s when three letters picked without replacement from sspkksssqskkpka. 4/91 What is prob of picking 1 v and 2 c when three letters picked without replacement from {c: 5, v: 1, t: 4, d: 4, a: 3, r: 1}? 5/408 Two letters picked without replacement from {h: 4, r: 5, v: 6, i: 4}. What is prob of picking 1 v and 1 i? 8/57 What is prob of picking 1 d and 1 h when two letters picked without replacement from dhehheee? 3/28 Two letters picked without replacement from lqlqllqllqlllqll. What is prob of picking 1 l and 1 q? 11/24 Calculate prob of picking 2 y when two letters picked without replacement from {s: 3, y: 8}. 28/55 Three letters picked without replacement from inniiiiniinn. What is prob of picking 3 n? 1/22 What is prob of picking 2 o and 1 k when three letters picked without replacement from {e: 1, p: 1, q: 3, g: 1, o: 5, k: 2}? 10/143 Two letters picked without replacement from {d: 1, f: 3, u: 1, e: 1, o: 4, q: 2}. Give prob of picking 1 q and 1 o. 4/33 Four letters picked without replacement from {b: 1, c: 4, a: 9}. What is prob of picking 2 a, 1 b, and 1 c? 144/1001 Three letters picked without replacement from {y: 1, p: 3, h: 1, d: 7}. Give prob of picking 1 d and 2 p. 21/220 Three letters picked without replacement from {k: 1, z: 2, y: 1, w: 3}. Give prob of picking 1 w, 1 y, and 1 z. 6/35 Two letters picked without replacement from {y: 1, d: 2}. Give prob of picking 1 y and 1 d. 2/3 What is prob of picking 2 j when two letters picked without replacement from {f: 7, j: 3}? 1/15 Four letters picked without replacement from {n: 11, u: 2}. Give prob of picking 3 n and 1 u. 6/13 What is prob of picking 1 b and 1 h when two letters picked without replacement from {b: 2, h: 1, k: 1}? 1/3 What is prob of picking 1 z, 1 a, and 2 k when four letters picked without replacement from {n: 6, a: 1, k: 7, z: 2, c: 4}? 14/1615 Calculate prob of picking 1 z, 1 n, and 2 b when four letters picked without replacement from nzzbnnnnnnzzb. 28/715 Two letters picked without replacement from eeeehhdhzhhppdeu. What is prob of picking 1 d and 1 z? 1/60 What is prob of picking 2 t when two letters picked without replacement from {r: 5, i: 2, j: 3, t: 3}? 1/26 Two letters picked without replacement from {c: 6, w: 6}. Give prob of picking 2 w. 5/22 Calculate prob of picking 2 y and 1 c when three letters picked without replacement from ycyyx. 3/10 Three letters picked without replacement from xcflqxfggfxff. Give prob of picking 3 f. 5/143 Two letters picked without replacement from gbbsbggg. What is prob of picking 1 g and 1 b? 3/7 What is prob of picking 2 x and 2 z when four letters picked without replacement from {x: 3, z: 5}? 3/7 Calculate prob of picking 2 u when two letters picked without replacement from cucvcfvcfvffccucuuf. 2/57 What is prob of picking 2 i when two letters picked without replacement from iqi? 1/3 Two letters picked without replacement from {i: 3, v: 5, q: 3, y: 1, x: 7}. Give prob of picking 1 y and 1 x. 7/171 Two letters picked without replacement from {m: 5, k: 1, n: 6, s: 2, r: 1}. What is prob of picking 1 s and 1 r? 2/105 What is prob of picking 1 s and 1 l when two letters picked without replacement from {s: 2, a: 3, w: 7, l: 3}? 2/35 What is prob of picking 1 i, 1 d, and 2 x when four letters picked without replacement from xvdxxdfdioxxi? 12/143 Three letters picked without replacement from {e: 5, a: 2}. What is prob of picking 2 a and 1 e? 1/7 Calculate prob of picking 3 g when three letters picked without replacement from {g: 5}. 1 Calculate prob of picking 1 u and 1 l when two letters picked without replacement from {l: 2, g: 5, u: 3}. 2/15 What is prob of picking 2 g and 2 m when four letters picked without replacement from {g: 2, m: 2, b: 7}? 1/330 Three letters picked without replacement from yycccycycccy. Give prob of picking 2 y and 1 c. 7/22 Two letters picked without replacement from fftftfttttfbftfttb. Give prob of picking 1 t and 1 f. 7/17 Calculate prob of picking 1 i, 1 n, and 1 c when three letters picked without replacement from {c: 1, s: 2, i: 2, f: 1, o: 1, n: 2}. 1/21 What is prob of picking 1 z and 1 e when two letters picked without replacement from {z: 4, e: 9, t: 6}? 4/19 Calculate prob of picking 1 m and 1 d when two letters picked without replacement from {j: 1, m: 1, d: 2}. 1/3 Three letters picked without replacement from bcbcbcbcbb. What is prob of picking 3 b? 1/6 Calculate prob of picking 3 u when three letters picked without replacement from {d: 1, i: 2, u: 1, b: 2, q: 12}. 0 Two letters picked without replacement from {u: 2, p: 6, l: 1, a: 2, m: 7}. Give prob of picking 1 m and 1 l. 7/153 Two letters picked without replacement from mwbwxbmbwmmwmbbbw. What is prob of picking 1 w and 1 x? 5/136 Two letters picked without replacement from {r: 6, y: 12}. What is prob of picking 2 y? 22/51 Calculate prob of picking 1 n, 1 s, 1 r, and 1 g when four letters picked without replacement from anasnrgrh. 2/63 Three letters picked without replacement from zpftpottopfor. Give prob of picking 1 p, 1 z, and 1 f. 3/143 Four letters picked without replacement from lddydylvzvvnddlvyvyd. Give prob of picking 3 y and 1 n. 4/4845 Three letters picked without replacement from ufxxfxax. What is prob of picking 1 f, 1 u, and 1 a? 1/28 Calculate prob of picking 1 r, 1 b, and 2 m when four letters picked without replacement from mmrbmmr. 12/35 Three letters picked without replacement from fff. What is prob of picking 3 f? 1 Two letters picked without replacement from {c: 4, t: 3, x: 6}. Give prob of picking 2 x. 5/26 Calculate prob of picking 1 t and 1 g when two letters picked without replacement from {y: 4, f: 3, g: 4, t: 3}. 12/91 Two letters picked without replacement from zmzuu. Give prob of picking 1 z and 1 m. 1/5 Calculate prob of picking 2 w and 2 x when four letters picked without replacement from iiliiiwixkwxwxxi. 9/910 Three letters picked without replacement from knbzd. What is prob of picking 1 b, 1 d, and 1 k? 1/10 Calculate prob of picking 1 b and 1 i when two letters picked without replacement from {i: 6, b: 6, m: 3, h: 2, n: 1}. 4/17 Three letters picked without replacement from aajatjabaaajajabaat. Give prob of picking 2 j and 1 a. 22/323 What is prob of picking 1 d, 1 w, and 1 i when three letters picked without replacement from {y: 2, w: 2, i: 11, d: 1}? 11/280 Three letters picked without replacement from {x: 2, u: 3}. What is prob of picking 2 u and 1 x? 3/5 Four letters picked without replacement from {w: 11, p: 9}. Give prob of picking 1 w and 3 p. 308/1615 Calculate prob of picking 1 d and 3 y when four letters picked without replacement from ydyyyyyyddd. 14/33 Calculate prob of picking 1 f and 3 y when four letters picked without replacement from gyfyfffgfyfyygfgy. 1/17 Three letters picked without replacement from {n: 7, r: 5}. Give prob of picking 3 r. 1/22 Three letters picked without replacement from fqqqlqqqfqlqqqqe. Give prob of picking 1 q, 1 l, and 1 e. 11/280 What is prob of picking 3 c and 1 v when four letters picked without replacement from {c: 4, x: 3, r: 6, q: 2, v: 2}? 2/595 Three letters picked without replacement from eeebeeeeeeeeeeeeeebe. Give prob of picking 3 e. 68/95 What is prob of picking 1 a and 1 m when two letters picked without replacement from kspssammsssms? 1/26 Two letters picked without replacement from dcdyccffcyymmmcmmcm. What is prob of picking 1 m and 1 d? 4/57 Four letters picked without replacement from {t: 2, v: 2}. What is prob of picking 1 v and 3 t? 0 What is prob of picking 1 p, 2 o, and 1 f when four letters picked without replacement from fpxnpnoxopnpfpppppp? 5/969 What is prob of picking 1 n and 1 j when two letters picked without replacement from {j: 1, e: 3, s: 1, n: 2, a: 5}? 1/33 What is prob of picking 1 t and 3 g when four letters picked without replacement from {q: 1, g: 3, y: 5, t: 3}? 1/165 Three letters picked without replacement from tbtbbbbbbbbtbb. What is prob of picking 1 t and 2 b? 165/364 Calculate prob of picking 1 x and 1 b when two letters picked without replacement from {s: 1, e: 1, x: 2, f: 1, b: 2}. 4/21 Two letters picked without replacement from
{ "pile_set_name": "DM Mathematics" }
-1)) -1/4 (-8)/(-14)*(-2)/(-9*(-238)/441) -4/17 ((-2)/6)/((-40)/(-60))*96/54 -8/9 What is 16*81/(-18)*12/(252/7)? -24 Calculate 2*1/20*(-1)/((-17)/(-102)). -3/5 ((-4)/6)/((-23)/((-460)/(-120))) 1/9 -4*2*(-3)/28*(-6321)/(-602) 9 Calculate (4/(-30))/(((-544)/(-24))/17). -1/10 Calculate (216/(-252))/((-2)/56*-3). -8 Evaluate (-1648)/(-206)*(-45)/24. -15 Evaluate ((-3)/30)/((-6)/190)*(-30)/5. -19 What is ((-46)/((-3404)/37))/(1/78)? 39 (((-55)/580)/11)/(2*(-4)/64) 2/29 What is the value of 2*(-81)/(-63)*(70/(-4))/5? -9 1/(((3/3)/11)/((-18)/90)) -11/5 Calculate ((-8)/(-14))/((43/172)/(-1)). -16/7 What is ((-5)/((-35)/(-2)))/((-1172)/5860)? 10/7 Calculate ((-4)/((-64)/42))/((390/20)/13). 7/4 Calculate ((-161)/(-112))/((-15)/(15*-16)). 23 What is ((580/(-20))/580)/(1/(-2))? 1/10 What is the value of ((-6)/(-80))/(150/6000)? 3 15*(-18)/720*16/(-2) 3 What is ((-21)/(-294))/((-4)/28*(-3)/1)? 1/6 Evaluate 1*(-7)/((-1)/(-1)). -7 Evaluate (-15)/2*-1*456/(-342). -10 Evaluate ((3/6)/(21/420))/((-10)/(-8)). 8 Calculate ((-1088)/153)/((-44)/198). 32 Evaluate (-280)/490*70/(-4). 10 ((280/(-14))/60)/(10/(-18)*1) 3/5 Calculate (-19)/95*-1*15/(-6). -1/2 Evaluate 11/(-27)*559/6149. -1/27 What is ((-12)/(-10)*-10)/(-2*(-15)/4)? -8/5 Calculate ((5/(-44))/((-30)/72))/(3/2). 2/11 What is (16/(-128))/(12/36)? -3/8 What is 4/(-4)*28/136*(-32)/(-56)? -2/17 What is the value of ((-18)/10)/(546/(-91))? 3/10 What is ((-45)/(-18))/(1960/(-224))? -2/7 (-25)/(-15)*5/5*-9 -15 -29*14/(56/4) -29 Evaluate (-12)/(-9)*-42*(-20)/(-210)*-3. 16 What is (4/9)/(84/3465*11)? 5/3 What is the value of ((-14)/(-3))/(648/(-1944))? -14 ((-9)/(-99)*11)/((-39)/78) -2 Calculate ((-54)/495)/(51/(-374)). 4/5 12/(-111)*1/(-3)*(-120)/80 -2/37 What is ((144/(-136))/(-18))/(-1)*(-2)/1? 2/17 What is the value of (4/8*(-2)/(-4))/(175/200)? 2/7 Calculate ((-17)/(70210/(-56)))/((-10)/25). -2/59 Evaluate (4/(160/140))/(14/8). 2 What is the value of (-1)/(6/(-990)*-15)? -11 Evaluate -5*40*21/52500. -2/25 What is (-2)/24*-10*((-253)/165)/23? -1/18 What is 6/(-2)*(-1)/(9/(-78)*-2)? 13 Calculate ((-5)/90)/(9*(-5)/(-135)). -1/6 ((-8)/(-20))/(((-2898)/(-460))/63) 4 What is the value of ((8/(-24))/((-1)/(-1)))/4? -1/12 What is the value of 745/4917*3/(-5)? -1/11 10*(100/(-280))/(-5) 5/7 Evaluate (304*(-15)/(-1080))/((-4)/18). -19 What is ((-11)/((-1)/(-1)*1))/5*5? -11 12/(-10)*((-150)/(-18))/(-5)*3 6 What is (-1)/((46/(-14))/(108/(-378)))? -2/23 Calculate 3/(216/30)*(-276)/207. -5/9 9/(-216)*6*4 -1 Calculate (6/21)/((-8)/(44/11)). -1/7 What is the value of (360/(-7))/4*1673/(-717)? 30 (108/180)/((-72)/(-30)) 1/4 What is the value of ((-4)/66)/((-315)/(-2835))? -6/11 What is 7/4*(-96)/24? -7 427/(-183)*108/693 -4/11 What is the value of (-2025)/(-1134)*(-7)/(-10)? 5/4 (-4)/2*2*(-364)/112 13 Evaluate (30/36)/(64/(-128)). -5/3 ((-35)/10)/((184/460)/(12/5)) -21 (16/10)/((2/(-5))/((-72)/132)) 24/11 What is (4/15)/(((-10)/(-35))/((-1740)/(-406)))? 4 Evaluate (56/(-20))/(-7)*8/(-16)*5. -1 15/((-750)/20)*(63/12)/7 -3/10 What is the value of 5/((6/4)/((-1476)/410))? -12 What is ((-274)/(-7672))/((-2)/24)? -3/7 What is the value of ((-9)/((-567)/18))/((-54)/42*-1)? 2/9 Evaluate (((-312)/(-650))/((-1)/5))/((-2)/10). 12 What is 93/(-155)*10/1? -6 Evaluate ((-14)/(-3))/((-10)/(-16)*216/(-810)). -28 What is (-6)/(-17)*6*17/9? 4 What is the value of 35*(-1)/(75/15)? -7 11/(-22)*(-14)/(-238) -1/34 (-84)/(-3640)*26*1 3/5 What is (-49)/49*(0/(-3))/3? 0 What is the value of (-1)/((-6)/(-72)*-4*3)*-14? -14 Evaluate (-15)/20*(-1664)/48. 26 What is the value of (-3)/6*9*(-510)/(-405)*3? -17 Evaluate (-4)/1*572/208. -11 Evaluate 4*2*(-3)/8*1/5. -3/5 What is (14/16)/(466/(-3728))? -7 What is the value of -4*((-2)/(-2))/((-48)/(-156))? -13 What is the value of (-1554)/(-5772)*2/7? 1/13 Calculate (((-17)/34)/(4/144))/((-6)/4). 12 (460/1610)/((-12)/(-70)) 5/3 Calculate ((-46)/(-184))/(6/(-42)). -7/4 Calculate ((-4)/(-2))/(26/(-13))*1/(-1). 1 ((1020/75)/17)/(2/(-3)) -6/5 (-120)/36*18/15 -4 Evaluate 9*-6*-1*2/(-6). -18 What is (9/8)/(27/75*5/12)? 15/2 What is the value of (12/1*(-18)/(-972)*18)/14? 2/7 What is the value of 1*(-16)/(-56)*-35? -10 Calculate ((-7)/(-315)*10)/((-168)/108). -1/7 Evaluate 52/26*(-3)/6. -1 (3/4)/((-8)/16) -3/2 Calculate (-11)/((-1045)/19)*2. 2/5 Evaluate (-5)/26*10/150*12. -2/13 What is the value of 14/(-4)*132/330? -7/5 Calculate (52/520)/((459/(-18))/(-17)). 1/15 Calculate (-16)/(128/120)*(60/(-9))/10. 10 Calculate (7/((-28)/3))/((108/176)/(-9)). 11 Calculate ((-6)/(-24))/(14/(-16))*-2. 4/7 Evaluate (952/28)/170*-5. -1 Evaluate (-6)/3*(-22)/924*-18. -6/7 ((-15)/(-18))/((-74)/2220) -25 (102/136*-28)/((3/(-2))/1) 14 What is the value of (4/(-105))/(690/5175)? -2/7 What is (5*(-4)/(-150))/((1188/150)/(-33))? -5/9 What is 12*(-13)/(-208)*(-304)/12? -19 Evaluate (6/4)/(27081/(-1062)). -1/17 Evaluate 12/14*(-133)/76*-10. 15 11/(7*2/(-210)*-15) 11 Evaluate (-8)/(-16)*(-208)/(-156)*3/(-10). -1/5 ((-3)/18)/(261/21924) -14 Evaluate 9/(-8)*(-9240)/495. 21 What is ((-2035)/(-33))/(-37)*(-9)/70? 3/14 What is 710/(-142)*(-19)/5*1? 19 ((-22)/165)/((8/(-4))/10*1) 2/3 Calculate (-12)/(1*(-12)/6)*(-10)/105. -4/7 (581/(-166))/(-4*(-1)/(-32)) 28 What is -5*21/140*24? -18 Calculate (9/48)/(230/736). 3/5 What is the value of 4*(-12)/(-40)*95/399? 2/7 What is (7/((-49)/(-7)))/(2/1)*2? 1 What is the value of (10/(-450)*-9)/((4/(-2))/(-10))? 1 What is 2124/59*(-1)/4? -9 What is ((-64)/144)/(20/(-90))? 2 What is the value of (-48)/(-2240)*21*5? 9/4 What is the value of ((-35)/105)/(4/6)*0? 0 What is (616/(-56))/((-1)/1)? 11 Evaluate (3594/(-79667))/((4/14)/(-2)). 6/19 Evaluate ((-2)/(2*(-21)/2))/(12/42). 1/3 Calculate (2376/(-660))/(9/(-10)). 4 What is (30/21)/((-248)/(-434))? 5/2 What is -14*(-42)/196*1*(-4)/33? -4/11 What is the value of (186/(-248))/((-7)/(-42)*(-3)/4)? 6 Calculate -12*30/(-45)*-3*(-3)/18. 4 (-3)/(14*(-170)/40*21/49) 2/17 What is the value of (-21)/(-294)*-3*(-10)/(-3)? -5/7 Calculate 9/((-360)/100)*((-264)/15)/2. 22 Evaluate ((-136)/(-51))/(-4)*-15. 10 What is the value of -8*1*25/(-75)*6/1? 16 Evaluate (((-6)/(-5))/(252/560))/((-3)/9). -8 What is (882/(-980))/((-3)/20)? 6 ((-20)/(-6)*1365/(-182))/((-35)/42) 30 What is (-42)/(-18)*918/(-357)? -6 Evaluate ((-4)/156*4)/((-2)/(-69)*23). -2/13 -25*(-16)/(-160)*96/20 -12 Calculate (16/(-104))/((12/(-3))/260). 10 What is (30/4)/(390/520)? 10 What is 7/(-28*(-1)/(-48))? -12 3/(-4)*1740/261 -5 Evaluate (17/(255/10))/((-2)/3*-1). 1 What is 3/14*2*(-14392)/(-2056)? 3 What is ((-7)/2)/(15/(-30)*(-31)/(-31))? 7 What is the value of (-2)/((-4)/3)*((-9)/81)/(-1)? 1/6 Evaluate ((-8)/(-24)*-48)/(-5*1/(-10)). -32 What is the value of (-1)/(-2)*23/(368/(-64))? -2 Evaluate ((-6)/(-15))/((-2)/720*-18). 8 What is ((-10)/200)/(3/12)*3? -3/5 What is the value of (9/4)/(((-5)/(-50))/((-154)/(-385)))? 9 Evaluate 2/(4/9)*((-40404)/234)/(-37). 21 Calculate ((-5)/4)/((-9)/6*(-2)/12). -5 Evaluate (((-4)/9)/(70/105))/((-75)/9). 2/25 6/(5*12/10*11/99) 9 What is the value of ((-900)/90)/((-5)/3)? 6 Calculate (((-10)/12)/(-5))/(-12*(-130)/(-1248)). -2/15 Calculate (42/(-91))/(-7*(-27)/(-63)). 2/13 Calculate (6/108)/(144/24*(-3)/24). -2/27 What is the value of (594/(-3168))/(((-1)/(-1))/4*-9)? 1/12 (-2)/(-30)*(-144690)/(-742) 13 (9/2)/(-3)*252/(-6237) 2/33 Calculate (-3)/(-21*2)*24*(-15)/(-30). 6/7 What is ((-7500)/270)/25*(-36)/5? 8 ((-18)/30)/(((-297)/120)/((-24)/(-32))) 2/11 What is the value of (175/15)/((-5)/(-63)*7)? 21 Evaluate (3/(-2))/((14/(-8))/((-104951)/3102)). -29 Calculate ((-2)/(-1))/(((-23)/((-1058)/115))/5). 4 What is the value of (-6)/45*30/(-2)*-8? -16 Evaluate 37/(9990/40)*1*3. 4/9 Evaluate 2*40/(400/3). 3/5 Evaluate 4/88*(-275)/(-150)*-4. -1/3 20/52*36/(-30)*1 -6/13 Calculate (105/100)/(63/(-54)). -9/10 Calculate (-12)/(-24)*(-12)/(-3)*3. 6 What is -2*-3*80/96? 5 What is ((-64)/168)/(196/(-147))? 2/7 Evaluate (3*1*(-6)/(-234)*-6)/(-1). 6/13 Calculate 2/7*((-102)/255)/(8/(-700)). 10 6/8*(32/6)/(2052/(-54)) -2/19 (29*115/2668)/(15/(-2)) -1/6 Calculate (-354)/59*1/(-22). 3/11 What is (-70)/4*((-18)/84)/((-72)/(-192))? 10 What is the value of (((-121)/11)/66)/(2/4)? -1/3 Evaluate -140*5*9/(-45)*17/85. 28 Evaluate 15*((-4)/4)/(-3)*8/(-40). -1 Calculate ((-3)/18*2)/((-3)/36). 4 What
{ "pile_set_name": "DM Mathematics" }
be the third derivative of 11/24*v**4 + 0*v - 46*v**2 + 0 + 1/3*v**3. Let a(p) = -p. Determine a(o(n)). -11*n - 2 Let i(h) = -h**2. Let r(c) = -1405387*c. Determine i(r(g)). -1975112619769*g**2 Let b(k) be the second derivative of -13*k**3/6 - k**2 - 911*k. Let r(m) = 19*m**2. What is b(r(i))? -247*i**2 - 2 Let w(s) = 1502072*s**2. Let x(l) = -2*l**2 - 7. What is x(w(t))? -4512440586368*t**4 - 7 Let c(y) = -y**2. Let s(d) = 17057754*d. Give s(c(r)). -17057754*r**2 Let c be 50/10 - ((0 - 4) + 4). Let d(o) = 5*o + c*o - 8*o. Let w(t) = -124*t. Give w(d(z)). -248*z Let n(w) = -2*w - 287919. Let s(g) = -3*g. What is s(n(b))? 6*b + 863757 Let h(z) = -39*z**2 + 11*z. Let v(c) = 449 + c + 0*c + 435 - 884. Give v(h(a)). -39*a**2 + 11*a Let h(r) = 16*r**2 + 6*r. Let v(b) = 23*b + 8. Let t(n) = -5*n - 2. Let w(z) = 12*t(z) + 3*v(z). Give h(w(k)). 1296*k**2 + 54*k Let j(q) = -6*q. Suppose 4*h = s + 14, 5*s + 8 + 2 = 5*h. Let r(a) = -99*a**s + 62*a**2 + 50*a**2. Give j(r(l)). -78*l**2 Let m(u) be the second derivative of -10*u**4/3 + 3*u + 549. Let d(c) = -13*c**2. Determine d(m(p)). -20800*p**4 Let r(t) = 30*t**2 + 41*t**2 + 1 - 36*t**2 - 1. Let b(g) = 35*g. Determine b(r(s)). 1225*s**2 Suppose 13 = -4*k + 9*k - 2*b, 2*k - 5*b - 1 = 0. Let l(s) = -16604 + k*s + 16604. Let f(d) = d**2 + 29*d. Give l(f(n)). 3*n**2 + 87*n Let i(f) = 5*f - 914861 + 914861. Let s(h) = -11*h**2 + h. Give s(i(g)). -275*g**2 + 5*g Let c = -36 - -39. Let q(f) = c*f**2 + 589 - 298 - 291. Let r(u) = -9*u. Give r(q(d)). -27*d**2 Let u(t) = -10*t + 3. Let c(r) = 17*r - 5. Let m(l) = 3*c(l) + 5*u(l). Let y(h) = 8*h**2 + 100*h - 100*h + 1 + 2. What is m(y(b))? 8*b**2 + 3 Let f(v) = 8*v - 198. Let i(l) = -8872*l. Give i(f(q)). -70976*q + 1756656 Let c(v) = 6*v**2. Let o(g) = g**2 + g - 3. Let n(t) = -5*t**2 - 10*t + 18. Let a(k) = -n(k) - 6*o(k). What is a(c(p))? -36*p**4 + 24*p**2 Let y(u) = -2*u**2. Let o(r) = -378*r - 357. Let v(g) = -g + 1. Let k(l) = -5*l + 7. Let p(t) = -k(t) + 6*v(t). Let s(n) = -6*o(n) + 2142*p(n). Give s(y(h)). -252*h**2 Let l(u) = -2*u**2. Let x(c) = -117*c - 176. Let z(p) = -23*p - 31. Let k(t) = -2*x(t) + 11*z(t). Determine l(k(n)). -722*n**2 + 836*n - 242 Let x(c) = 93*c. Let j(z) = -40*z**2 + 40*z - 20. Let g(t) = -t**2 + 2*t - 1. Let w(p) = -40*g(p) + 2*j(p). What is w(x(o))? -345960*o**2 Let k(u) = -4*u + 4. Let y(o) = 42*o - 40. Let h(j) = 10*k(j) + y(j). Let b(z) = -314*z. Give b(h(p)). -628*p Let b(o) be the third derivative of -9*o**4/8 - 11*o**3/6 + 80*o**2. Let h(u) = -5*u - 2. Let c(r) = -6*b(r) + 33*h(r). Let z(n) = 42*n**2. Determine c(z(q)). -126*q**2 Let u(d) = 74 - 15 + 3*d**2 - d**2. Let r(x) be the second derivative of x**4/6 - 24*x - 2. Determine u(r(g)). 8*g**4 + 59 Let z(b) = 1028723*b. Let h(d) = 7*d**2. Calculate h(z(o)). 7407897075103*o**2 Let y(s) = 798272*s**2. Let d(m) = -18*m**2. Give d(y(x)). -11470287347712*x**4 Let y(p) be the second derivative of 33*p**3/2 + 2*p. Let s(r) be the second derivative of -r**3/3 - 530*r - 1. Determine y(s(h)). -198*h Let k(z) = -2*z**2. Let a(n) be the first derivative of 131*n**2/2 + 2*n - 256. What is k(a(j))? -34322*j**2 - 1048*j - 8 Let t(m) = 39*m + 2700. Let x(r) = -4*r - 300. Let d(a) = 2*t(a) + 18*x(a). Let h(c) = 0*c - 3*c - 30*c. Calculate h(d(i)). -198*i Let w(b) = -5*b**2 - 129. Let d(c) = 29*c. Let x(g) = -23*g. Let i(z) = 4*d(z) + 5*x(z). Determine w(i(q)). -5*q**2 - 129 Let k(o) = -157*o**2 + 9*o. Let t(f) = -122*f**2 + 7*f. Let d(n) = 7*k(n) - 9*t(n). Let x(i) = i - 1588. Give d(x(h)). -h**2 + 3176*h - 2521744 Let v(f) = 23*f + 7. Let n(a) = -5 + 60*a - 128*a + 5 + 66*a. What is n(v(i))? -46*i - 14 Let s(r) = 4*r**2 - 327*r - 17324. Let y(n) = -n. Determine s(y(v)). 4*v**2 + 327*v - 17324 Let i(t) = 550*t. Let b(g) = 644*g**2 - 332*g**2 - 310*g**2. Determine i(b(d)). 1100*d**2 Let a(h) = 5*h**2. Let l(m) = 92*m + 109. Let d(n) = 128*n + 163. Let s(i) = -5*d(i) + 7*l(i). Give s(a(k)). 20*k**2 - 52 Let d(a) be the first derivative of 9*a**2/2 + 2. Let w(o) be the first derivative of -3*o**2/2 + 621. What is d(w(x))? -27*x Let w(x) = -2*x + 34. Let c(d) = -13*d**2 - 64428. Determine w(c(r)). 26*r**2 + 128890 Let a(o) = -56*o. Let f(j) be the third derivative of 0*j**4 + 0 + 1/60*j**5 + 0*j**3 - 14*j**2 - 4*j. Give f(a(r)). 3136*r**2 Let n(d) = -2*d. Let o(s) = -s. Let j(u) = -n(u) + o(u). Let v(m) be the third derivative of -33*m**4/8 + 5*m**2 - 73. What is j(v(w))? -99*w Let v(l) = 11*l**2. Let h(p) = -66391*p. Give v(h(z)). 48485413691*z**2 Let x(w) = w**2 + 49. Let o(q) = q**2 - 35*q + 69. Let u be o(33). Let y(z) = -3*z. Let n(f) = -f. Let d(t) = u*y(t) - 8*n(t). Determine x(d(g)). g**2 + 49 Let h(s) = 4*s. Let c(d) = -7*d**2 + 33*d + 12459 + 12463 + 12*d - 24919. Calculate c(h(j)). -112*j**2 + 180*j + 3 Let h(k) = -6*k**2 - 4*k. Let a(w) be the third derivative of w**4/6 - 213*w**2. Determine a(h(r)). -24*r**2 - 16*r Let j(x) = -7*x - 8. Let p(n) = -209*n - 242. Suppose 0 = -55*f + 54*f - 121. Let a(s) = f*j(s) + 4*p(s). Let k(l) = 10*l. Give k(a(r)). 110*r Let i(v) be the second derivative of -5*v**3/6 - 4660*v. Let r(l) = -3820*l**2. What is r(i(k))? -95500*k**2 Let q(k) = -645 + 206 - 2*k + 204 + 210. Let j(t) = -28*t. Give q(j(b)). 56*b - 25 Let i(q) be the second derivative of -q**4/4 - 38*q - 1. Let b(p) = 471*p**2. Determine b(i(k)). 4239*k**4 Let r(u) = 3*u - 102. Let h(d) = -5*d + 136. Let x(g) = -3*h(g) - 4*r(g). Let s(a) = -15*a**2 - 11*a**2 + 36*a**2 + 30*a**2. What is x(s(k))? 120*k**2 Let h(y) = -49104*y. Let u(a) = -752*a**2. Determine h(u(v)). 36926208*v**2 Let c(w) be the first derivative of 2*w**2 + 277. Let q(l) = 11*l - 5. Let a(z) = -45*z + 21. Let r(b) = 2*a(b) + 9*q(b). Give r(c(x)). 36*x - 3 Let h(t) = -4*t**2 + 5. Let u(i) be the first derivative of -i**3/3 + 6*i + 43. Let g(k) be the first derivative of u(k). Calculate h(g(p)). -16*p**2 + 5 Let l(s) = s**2. Let w = -20 + 12. Let n(r) = -15*r**2. Let b(p) = 348*p**2 - 114*p**2 - 119*p**2 - 125*p**2. Let c(x) = w*b(x) + 5*n(x). Give c(l(h)). 5*h**4 Let f(g) = -5*g. Suppose -4*s - 208*j = -205*j - 5, 2*s + 2*j = 2. Let t(h) be the first derivative of -5/2*h**s + 0*h + 4. Calculate t(f(o)). 25*o Let r(l) = 69*l**2. Let i(x) = 35*x**2 + 41331. Give i(r(m)). 166635*m**4 + 41331 Let h(k) = 4*k**2 + 32*k + 34. Let j(r) = 4*r. Let m(o) = -h(o) + 8*j(o). Let f(z) = 6*z. Determine m(f(i)). -144*i**2 - 34 Let y(s) = s**2. Let v(m) = -524*m - 9. Let f(a) = -148294*a - 2544. Let x(l) = -3*f(l) + 848*v(l). Give x(y(z)). 530*z**2 Let v(b) be the second derivative of b**4/3 - 97*b. Let h(o) = o**2 + 4*o + 3. Let y be h(-4). Let x(f) = 0*f + 2*f + y*f. Determine x(v(j)). 20*j**2 Let d(a) = 148*a. Let t(i) = 3076867*i**2. What is d(t(o))? 455376316*o**2 Let o(s) = 3*s**2 - 1. Let i(y) = -16*y - 3410 + 3410. What is i(o(a))? -48*a**2 + 16 Let p(v) = -3*v**2 - 5*v - 71. Let c(s) = 8*s**2 + 11*s + 145. Let z(f) = 2*c(f) + 5*p(f). Let h(l) = l. Calculate z(h(x)). x**2 - 3*x - 65 Let j = -446 + 449. Let p(g) = g**2 + g - 1. Let b(o) = 2*o**2 + 3*o - 3. Let q(r) = j*p(r) - b(r). Let u(i) = -20*i - 1. What is q(u(y))? 400*y**2 + 40*y + 1 Suppose -2*r + 3*x - 127 = 0, -2*x - 104 = -3*r - 302. Let n = 72 + r. Let h(l) = l + l + l + n*l. Let v(f) = -2*f**2. Determine v(h(i)). -98*i**2 Let d(g) = 7*g**2. Suppose -4*s - 8 = 4*y, s - 555*y = -553*y + 4. Let q(r) be the first derivative of 10 - 1/2*r**2 + s*r. Give d(q(f)). 7*f**2 Let b(o) = 82*o**2. Let w(c) = -4*c**2 + 1484*c - 1. Give w(b(q)). -26896*q**4 + 121688*q**2 - 1 Let z(p) = p. Let m(k) = 464*k - 736. Calculate m(z(l)). 464*l - 736 Let z(v) = 2*v**2 - 8*v + 8. Let h(i) = 2*i**2 - 2*i + 2. Let y(t) = 4*h(t) - z(t). Let l(c) = 59*c - 2. What is y(l(k))? 20886*k**2 - 1416*k + 24 Let h(r) = r**3 - r**2 - r + 1. Let y(o) = o**2 + 9*o + 10. Let k be y(-8). Let c be h(k). Let x(p) = -4*p + c*p + 2*p. Let g(f) = -10*f. Calculate g(x(j)). -10*j Let z(d) = -36*d. Let k(b) = 101*b - 1339. What is k(z(u))? -3636*u - 1339 Let i(t) = 8*t. Let n(d) = -20136072*d**2. Determine n(i(u)). -1288708608*u**2 Let x(o) = -17*o - 13. Let m(p) = 8*p + 6. Let j(n) = 9*m(n) + 4*x(n). Let t(k) be the first derivative of 4*k**3/3 - 357316. Calculate j(t(y)). 16*y**2 + 2 Let x(f) = 30*f + 29*f - 67*f
{ "pile_set_name": "DM Mathematics" }
d: 1}. 1/180 What is prob of sequence bbb when three letters picked without replacement from {b: 5, p: 2, o: 4, s: 2, d: 1}? 5/182 Three letters picked without replacement from lfiwwuk. Give prob of sequence ifl. 1/210 Calculate prob of sequence iif when three letters picked without replacement from flfzzzzfllffzflfzizf. 0 Four letters picked without replacement from {j: 2, r: 1, x: 4, d: 2, o: 3, c: 2}. What is prob of sequence rcjc? 1/6006 What is prob of sequence uoof when four letters picked without replacement from {f: 3, o: 7, u: 2}? 7/330 Two letters picked without replacement from {b: 3, p: 13, u: 3}. Give prob of sequence pp. 26/57 Four letters picked without replacement from {b: 4}. Give prob of sequence bbbb. 1 Four letters picked without replacement from {j: 1, r: 5, g: 6, s: 3}. What is prob of sequence sgrs? 1/182 Two letters picked without replacement from pppssgpgggggg. Give prob of sequence sg. 7/78 What is prob of sequence kdv when three letters picked without replacement from kfftkdtkvk? 1/180 Three letters picked without replacement from {y: 6, i: 1, n: 2, u: 2, s: 1}. Give prob of sequence uni. 1/330 Three letters picked without replacement from {c: 5, h: 15}. What is prob of sequence hcc? 5/114 Calculate prob of sequence tutu when four letters picked without replacement from uuttuutttuutt. 21/286 Two letters picked without replacement from yttpxptptttpttx. Give prob of sequence pt. 16/105 Calculate prob of sequence zsz when three letters picked without replacement from {z: 4, f: 1, s: 3, x: 5}. 3/143 Two letters picked without replacement from vjhjjhh. What is prob of sequence jh? 3/14 Three letters picked without replacement from {t: 1, l: 2}. What is prob of sequence ltl? 1/3 Calculate prob of sequence vn when two letters picked without replacement from {v: 1, l: 4, n: 9}. 9/182 What is prob of sequence pl when two letters picked without replacement from {p: 4, l: 7}? 14/55 What is prob of sequence zxx when three letters picked without replacement from {n: 2, x: 5, k: 4, z: 2}? 10/429 Calculate prob of sequence jxh when three letters picked without replacement from fkkkookkxkhoj. 1/1716 Four letters picked without replacement from {k: 3, u: 1, c: 1, f: 6, r: 1}. Give prob of sequence kcur. 1/3960 Four letters picked without replacement from mvvsvsvvs. Give prob of sequence mssv. 5/504 Two letters picked without replacement from ussuvvuussmuvvvsuv. What is prob of sequence um? 1/51 Four letters picked without replacement from {y: 7, t: 1, s: 3, v: 4, k: 2}. Give prob of sequence ysyk. 3/680 Two letters picked without replacement from {l: 12, q: 3}. Give prob of sequence ql. 6/35 Two letters picked without replacement from svsvsssvvssvvssvsvv. Give prob of sequence sv. 5/19 Four letters picked without replacement from ocovevococeocvocd. What is prob of sequence cood? 5/1904 Three letters picked without replacement from aaacczzzcazcczzz. Give prob of sequence aza. 1/40 Two letters picked without replacement from rdrdfffffdddfffbjrdr. Give prob of sequence rb. 1/95 Calculate prob of sequence vf when two letters picked without replacement from {f: 4, v: 4, y: 2}. 8/45 Two letters picked without replacement from nunuuyooffosss. What is prob of sequence so? 9/182 What is prob of sequence rr when two letters picked without replacement from {r: 4}? 1 What is prob of sequence nsnf when four letters picked without replacement from ursfrnnfrnssyfs? 1/455 Three letters picked without replacement from {z: 6, b: 9, y: 2, m: 1, v: 1, s: 1}. What is prob of sequence zbb? 6/95 What is prob of sequence sq when two letters picked without replacement from {y: 1, s: 1, i: 2, q: 5, l: 1}? 1/18 Three letters picked without replacement from {e: 3, m: 5, r: 2, f: 3, i: 1, p: 6}. What is prob of sequence frm? 1/228 What is prob of sequence gir when three letters picked without replacement from {v: 1, p: 1, z: 1, r: 4, i: 3, g: 4}? 2/91 Three letters picked without replacement from rrdrrrrrrrdrdrrtdrrd. What is prob of sequence drt? 7/684 What is prob of sequence zz when two letters picked without replacement from {j: 5, z: 9}? 36/91 What is prob of sequence tct when three letters picked without replacement from {c: 1, g: 7, t: 12}? 11/570 Calculate prob of sequence ygg when three letters picked without replacement from gyggyygyyd. 1/12 Three letters picked without replacement from llooqlogxqqlo. Give prob of sequence qoq. 2/143 Two letters picked without replacement from {w: 3, t: 3, s: 2}. What is prob of sequence ws? 3/28 Three letters picked without replacement from bzqqhzfbbb. Give prob of sequence zzh. 1/360 Four letters picked without replacement from {j: 5, s: 3, z: 1}. Give prob of sequence zjsj. 5/252 Two letters picked without replacement from {d: 1, t: 3}. Give prob of sequence dt. 1/4 Two letters picked without replacement from {u: 3, i: 5, v: 1, o: 3}. What is prob of sequence ou? 3/44 Four letters picked without replacement from eerrrryeerrkreryrek. Give prob of sequence rrrk. 7/646 Calculate prob of sequence fxm when three letters picked without replacement from {m: 3, x: 4, f: 13}. 13/570 Three letters picked without replacement from vvwwwvvlvwlvwwwvlvv. What is prob of sequence lvl? 3/323 Calculate prob of sequence vjl when three letters picked without replacement from lqlvqmvqqqvjqjvjqj. 1/153 Three letters picked without replacement from dvcxu. Give prob of sequence xuv. 1/60 Two letters picked without replacement from {j: 1, c: 1, m: 2, l: 2}. Give prob of sequence cm. 1/15 Two letters picked without replacement from {s: 1, y: 2}. What is prob of sequence ys? 1/3 Calculate prob of sequence oqbf when four letters picked without replacement from {o: 4, b: 1, y: 2, q: 10, f: 2}. 5/5814 Calculate prob of sequence oyi when three letters picked without replacement from {o: 1, q: 1, r: 1, i: 1, k: 2, y: 1}. 1/210 What is prob of sequence zggz when four letters picked without replacement from zgzggggggz? 1/20 Three letters picked without replacement from {j: 6, q: 5, u: 2, x: 1, h: 1, b: 1}. Give prob of sequence qbh. 1/672 Calculate prob of sequence pypw when four letters picked without replacement from {n: 5, m: 2, w: 1, p: 3, y: 1, z: 1}. 1/2860 Four letters picked without replacement from ixxiixxxixiixi. What is prob of sequence ixix? 21/286 Three letters picked without replacement from {l: 3, b: 11}. Give prob of sequence bll. 11/364 Two letters picked without replacement from {r: 4, y: 5, p: 2, s: 2, m: 1}. Give prob of sequence ym. 5/182 Four letters picked without replacement from ccqqqq. What is prob of sequence qcqq? 2/15 Calculate prob of sequence bn when two letters picked without replacement from roonnonorbroobnnonn. 7/171 Calculate prob of sequence xm when two letters picked without replacement from imxoyix. 1/21 Three letters picked without replacement from yvazyqvavv. What is prob of sequence qza? 1/360 Calculate prob of sequence dn when two letters picked without replacement from nddndddnnnnnd. 7/26 Two letters picked without replacement from lzzewzwzldl. Give prob of sequence we. 1/55 Four letters picked without replacement from iiwbiwwwwwwiiiwwb. Give prob of sequence wwiw. 9/170 Calculate prob of sequence hhlh when four letters picked without replacement from hrhrrrllrhrhr. 2/715 Calculate prob of sequence xi when two letters picked without replacement from {u: 1, p: 4, i: 1, x: 4, e: 7}. 1/68 What is prob of sequence zozj when four letters picked without replacement from {o: 6, z: 3, a: 2, j: 3, t: 3}? 9/4760 Two letters picked without replacement from {w: 10}. What is prob of sequence ww? 1 What is prob of sequence oooo when four letters picked without replacement from oooo? 1 Calculate prob of sequence jjk when three letters picked without replacement from bjkojbbombkmo. 1/429 What is prob of sequence ppv when three letters picked without replacement from {a: 5, p: 2, f: 3, o: 1, v: 6, k: 3}? 1/570 What is prob of sequence ib when two letters picked without replacement from {i: 3, b: 3}? 3/10 What is prob of sequence el when two letters picked without replacement from declklkdlleck? 2/39 Calculate prob of sequence ap when two letters picked without replacement from dpapa. 1/5 Three letters picked without re
{ "pile_set_name": "DM Mathematics" }
:35 AM? 286 How many minutes are there between 9:25 PM and 2:52 AM? 327 How many minutes are there between 7:00 AM and 3:52 PM? 532 What is 423 minutes after 11:47 PM? 6:50 AM How many minutes are there between 4:51 PM and 1:04 AM? 493 What is 539 minutes before 7:56 AM? 10:57 PM What is 332 minutes after 3:54 AM? 9:26 AM How many minutes are there between 3:33 AM and 12:07 PM? 514 What is 564 minutes after 9:09 PM? 6:33 AM What is 243 minutes before 11:53 PM? 7:50 PM What is 402 minutes after 1:29 PM? 8:11 PM What is 166 minutes after 5:35 AM? 8:21 AM How many minutes are there between 3:32 PM and 7:28 PM? 236 How many minutes are there between 1:32 AM and 3:38 AM? 126 How many minutes are there between 11:09 PM and 6:21 AM? 432 What is 20 minutes before 2:50 AM? 2:30 AM What is 291 minutes after 5:05 AM? 9:56 AM What is 328 minutes after 5:11 AM? 10:39 AM How many minutes are there between 4:31 PM and 4:40 PM? 9 How many minutes are there between 4:08 AM and 8:51 AM? 283 How many minutes are there between 9:35 PM and 12:14 AM? 159 What is 173 minutes after 6:45 PM? 9:38 PM How many minutes are there between 7:45 PM and 4:37 AM? 532 What is 538 minutes before 11:11 PM? 2:13 PM How many minutes are there between 8:05 PM and 6:17 AM? 612 How many minutes are there between 11:34 AM and 6:18 PM? 404 How many minutes are there between 4:37 AM and 9:55 AM? 318 How many minutes are there between 8:18 PM and 7:15 AM? 657 How many minutes are there between 5:38 AM and 2:50 PM? 552 What is 473 minutes before 7:59 PM? 12:06 PM What is 625 minutes after 2:58 AM? 1:23 PM How many minutes are there between 12:40 AM and 10:18 AM? 578 How many minutes are there between 4:24 PM and 11:34 PM? 430 How many minutes are there between 6:00 PM and 12:34 AM? 394 What is 628 minutes after 10:39 AM? 9:07 PM How many minutes are there between 6:53 AM and 11:17 AM? 264 What is 419 minutes before 2:47 PM? 7:48 AM What is 302 minutes after 3:07 AM? 8:09 AM What is 42 minutes after 6:34 PM? 7:16 PM What is 376 minutes before 11:50 AM? 5:34 AM How many minutes are there between 12:15 AM and 5:11 AM? 296 How many minutes are there between 11:41 AM and 5:01 PM? 320 How many minutes are there between 2:56 AM and 10:24 AM? 448 What is 170 minutes after 11:54 AM? 2:44 PM How many minutes are there between 11:43 PM and 9:13 AM? 570 How many minutes are there between 8:25 PM and 11:16 PM? 171 How many minutes are there between 1:30 PM and 7:24 PM? 354 What is 344 minutes after 8:44 PM? 2:28 AM What is 627 minutes before 11:25 AM? 12:58 AM What is 149 minutes after 9:54 PM? 12:23 AM What is 132 minutes after 12:20 AM? 2:32 AM How many minutes are there between 7:05 AM and 6:51 PM? 706 How many minutes are there between 10:50 AM and 1:43 PM? 173 How many minutes are there between 5:21 AM and 10:14 AM? 293 What is 236 minutes after 3:01 AM? 6:57 AM What is 697 minutes before 9:24 AM? 9:47 PM How many minutes are there between 1:30 AM and 11:00 AM? 570 How many minutes are there between 9:19 PM and 5:30 AM? 491 How many minutes are there between 4:21 PM and 5:17 PM? 56 What is 502 minutes after 8:18 AM? 4:40 PM What is 589 minutes after 2:37 PM? 12:26 AM How many minutes are there between 12:58 AM and 12:03 PM? 665 How many minutes are there between 7:57 PM and 4:24 AM? 507 What is 60 minutes before 3:53 AM? 2:53 AM What is 493 minutes before 1:30 AM? 5:17 PM What is 687 minutes before 5:46 AM? 6:19 PM What is 472 minutes after 8:27 AM? 4:19 PM What is 2 minutes after 9:11 PM? 9:13 PM How many minutes are there between 12:16 PM and 1:05 PM? 49 What is 660 minutes after 3:39 PM? 2:39 AM How many minutes are there between 3:53 PM and 6:59 PM? 186 How many minutes are there between 2:00 PM and 10:11 PM? 491 What is 186 minutes after 11:18 PM? 2:24 AM What is 492 minutes before 5:53 PM? 9:41 AM What is 283 minutes after 8:23 AM? 1:06 PM How many minutes are there between 4:54 PM and 11:22 PM? 388 What is 110 minutes before 12:12 PM? 10:22 AM How many minutes are there between 7:29 PM and 3:45 AM? 496 What is 517 minutes after 7:34 PM? 4:11 AM How many minutes are there between 11:34 AM and 4:38 PM? 304 How many minutes are there between 11:12 AM and 7:49 PM? 517 What is 128 minutes after 5:35 PM? 7:43 PM What is 591 minutes after 7:12 PM? 5:03 AM What is 589 minutes before 2:13 AM? 4:24 PM What is 596 minutes before 9:12 AM? 11:16 PM How many minutes are there between 7:49 PM and 1:13 AM? 324 How many minutes are there between 9:14 AM and 7:50 PM? 636 What is 386 minutes before 11:37 AM? 5:11 AM How many minutes are there between 11:16 PM and 12:07 AM? 51 How many minutes are there between 12:35 PM and 1:15 PM? 40 What is 117 minutes after 9:23 PM? 11:20 PM What is 459 minutes after 11:43 AM? 7:22 PM How many minutes are there between 3:26 PM and 1:13 AM? 587 How many minutes are there between 4:44 AM and 12:18 PM? 454 What is 507 minutes after 5:27 AM? 1:54 PM How many minutes are there between 1:23 AM and 11:20 AM? 597 How many minutes are there between 7:46 PM and 4:14 AM? 508 How many minutes are there between 7:13 PM and 1:53 AM? 400 What is 680 minutes after 4:28 AM? 3:48 PM How many minutes are there between 9:48 AM and 4:32 PM? 404 What is 253 minutes before 6:43 PM? 2:30 PM How many minutes are there between 4:31 PM and 2:18 AM? 587 What is 274 minutes after 3:02 PM? 7:36 PM How many minutes are there between 6:12 AM and 8:52 AM? 160 How many minutes are there between 11:01 PM and 12:56 AM? 115 What is 517 minutes before 10:09 AM? 1:32 AM What is 617 minutes before 12:32 PM? 2:15 AM What is 135 minutes after 9:14 AM? 11:29 AM What is 458 minutes before 5:34 PM? 9:56 AM What is 244 minutes before 3:10 AM? 11:06 PM What is 597 minutes before 9:05 PM? 11:08 AM How many minutes are there between 5:16 AM and 3:57 PM? 641 How many minutes are there between 9:25 AM and 11:16 AM? 111 What is 623 minutes before 2:21 PM? 3:58 AM What is 496 minutes after 6:57 AM? 3:13 PM What is 446 minutes before 12:40 AM? 5:14 PM What is 466 minutes before 10:16 PM? 2:30 PM What is 313 minutes before 4:45 PM? 11:32 AM How many minutes are there between 9:01 AM and 8:01 PM? 660 How many minutes are there between 11:01 PM and 4:24 AM? 323 How many minutes are there between 7:48 PM and 1:15 AM? 327 How many minutes are there between 12:28 AM and 4:28 AM? 240 How many minutes are there between 3:48 AM and 11:25 AM? 457 What is 408 minutes after 11:25 PM? 6:13 AM How many minutes are there between 7:43 AM and 10:54 AM? 191 How many minutes are there between 11:56 AM and 4:42 PM? 286 What is 699 minutes before 8:14 PM? 8:35 AM What is 702 minutes after 12:08 AM? 11:50 AM How many minutes are there between 12:08 AM and 8:16 AM? 488 How many minutes are there between 6:46 AM and 7:19 AM? 33 What is 217 minutes before 6:56 AM? 3:19 AM How many minutes are there between 5:15 PM and 12:03 AM? 408 How many minutes are there between 9:04 AM and 1:08 PM? 244 What is 255 minutes before 3:15 PM? 11:00 AM How many minutes are there between 2:00 PM and 9:43 PM? 463 How many minutes are there between 3:32 AM and 8:53 AM? 321 How many minutes are there between 6:41 AM and 11:50 AM? 309 How many minutes are there between 8:59 PM and 9:49 PM? 50 How many minutes are there between 9:41 AM and 11:23 AM? 102 What is 137 minutes after 10:25 PM? 12:42 AM How many minutes are there between 7:42 PM and 4:16 AM? 514 What is 688 minutes before 7:12 AM? 7:44 PM What is 496 minutes before 6:18 PM? 10:02 AM What is 680 minutes before 5:03 AM? 5:43 PM How many minutes are there between 9:44 PM and 2:40 AM? 296 What is 468 minutes after 1:18 AM? 9:06 AM How many minutes are there between 7:55 PM and 1:37 AM? 342 How many minutes are there between 11:42 PM and 6:40 AM? 418 How many minutes are there between 4:42 AM and 3:05 PM? 623 What is 539 minutes before 7:38 AM? 10:39 PM How many minutes are there between 11:22 AM and 9:47 PM? 625 What is 374 minutes after 10:58 PM? 5:12 AM What is 371 minutes after 3:09 AM? 9:20 AM How many minutes are there between 11:00 PM and 10:42 AM? 702 How many minutes are there between 11:07 AM and 1:23 PM? 136 What is 170 minutes after 2:28 PM? 5:18 PM How many minutes are there between 2:46 AM and 12:53
{ "pile_set_name": "DM Mathematics" }
te the remainder when l is divided by p. 20 Suppose -3*d - y = -377, 43*d + 4*y + 270 = 45*d. Calculate the remainder when 1547 is divided by d. 23 Let k(u) = 12*u - 24. Let f = -131 - -137. Calculate the remainder when 190 is divided by k(f). 46 Suppose 0 = -55*u - 32*u + 32177 - 422. Calculate the remainder when 2193 is divided by u. 3 Let s(z) = -z**2 - 9*z - 10. Let r be s(-8). Let l(x) = 4*x + 79. Calculate the remainder when l(0) is divided by ((-3)/r)/(6/64). 15 What is the remainder when 712 is divided by (221/(-117))/(9/(-81))? 15 Suppose -q - 8 = 84. Let s = q - -190. Let d = 17 + s. What is the remainder when d is divided by 29? 28 Suppose -5*a - 2*h = -10, -a + 2*h + 24 = -2*h. Suppose -d + 75 = -2*o, -3*o + a*o - 3*d = -45. Let s = o + 48. Calculate the remainder when 70 is divided by s. 10 Suppose -35*g + 11*g = -72. Let z be (-3 - 5/(-2))*-202. Suppose -5*f - g*w - 12 = -z, 3*f - 54 = -2*w. What is the remainder when f is divided by 9? 7 Suppose -k = 5*q - 8, -3*q + 21 = 2*k - 9. Calculate the remainder when (132/30)/(2/5)*2 is divided by k. 4 Let y(m) = m**2 + 25*m + 108. Let w be y(-25). Suppose 540 - w = 12*a. Calculate the remainder when 247 is divided by a. 31 Suppose -63*t + 3392 + 1733 = -1427. Calculate the remainder when 13413 is divided by t. 101 Suppose -102*t - 7*t + 6716 = -42. What is the remainder when 75 is divided by t? 13 Suppose -3*q = 5*g - 1, 4*q + 0*q + g - 7 = 0. Suppose 5*y - 434 = z, 5*z - 38 = q*y - 230. Calculate the remainder when y is divided by 8. 6 Suppose -98 = -20*f + 6*f. Calculate the remainder when (f - 3) + 32*(-9)/(-2) is divided by 17. 12 Suppose -18*r + 21*r = -684. Let l = r - -264. Calculate the remainder when l is divided by 29. 7 Suppose -4 = 4*k + 4. Let l(z) = z**3 - 5*z - 4. Let x be l(k). What is the remainder when 99 is divided by x*2*125/(-20)? 24 Let q(i) = i**3 + i**2 + 6*i - 8. Suppose 7 - 11 = -g + 2*a, -2*g + 5 = -a. What is the remainder when 93 is divided by q(g)? 13 Let r(s) = 18*s + 182. Let b(n) = -9*n - 90. Let q(h) = -5*b(h) - 2*r(h). Calculate the remainder when q(12) is divided by 40. 34 Let a(h) = h**2 - 4*h + 348. Calculate the remainder when a(0) is divided by 84. 12 Suppose 0 = 2*t + m - 118, 3*t + 4*m - 64 = 108. Suppose -8*y = -4*y - 2*y - 8, 3*o + 3*y - 105 = 0. What is the remainder when t is divided by o? 29 Let s(d) = -d**3 - 6*d**2 - 7*d + 16. Let z be 5*(-9)/18*(4 - 2). Calculate the remainder when 126 is divided by s(z). 22 Let l = -9516 - -9604. What is the remainder when 303 is divided by l? 39 Let u(c) = -c. Let w(l) = -2*l**2 - 24*l + 24. What is the remainder when w(-10) is divided by u(-17)? 13 Let w = -3090 + 3401. What is the remainder when w is divided by 51? 5 Calculate the remainder when (852/(-20) + 6)/(9/(-75)) is divided by 111. 83 Suppose 4*k = -q - q + 18, 2*q + 5*k - 23 = 0. Let r = q + 40. Calculate the remainder when r is divided by 7 - (-7)/((-277)/(-15) - 18). 17 Let l = -15228 - -15314. Calculate the remainder when l is divided by 7. 2 Suppose 41*i + 3128 = 133*i. What is the remainder when i is divided by 29? 5 Suppose 31*f - 26*f - 5 = 0, 5*i = 5*f + 4230. What is the remainder when i is divided by 45? 37 Let i(k) = -4*k + 1. Let s be i(-2). Let y be 6/(-7) + 432/(-84). What is the remainder when 50 is divided by ((-78)/s)/(4/y)? 11 Let w(n) = -35*n**2 - 4*n - 2. Let j be w(-1). Let x be (4/6)/(j/(-2178)). Suppose -x + 83 = 3*f. Calculate the remainder when 22 is divided by f. 9 Suppose -2*w = 2*a + 2*w - 172, 5*a - 415 = -5*w. What is the remainder when 1103 is divided by a? 63 Let k(m) = -12*m**2 + 25*m + 7. Let i(d) = 22*d**2 - 52*d - 15. Let z(f) = 3*i(f) + 5*k(f). What is the remainder when z(8) is divided by 66? 60 Suppose -w - 3*v + 55 = 0, 3*v - 328 = -4*w - 135. Calculate the remainder when 383 is divided by w. 15 Let i(m) = 5*m + 224. Calculate the remainder when 864 is divided by i(-2). 8 Let f(n) = 590*n + 4789. What is the remainder when 357 is divided by f(-8)? 12 Suppose 109*x - 464 = 912 + 259. What is the remainder when 313 is divided by x? 13 Suppose 2*x + 2 + 1 = -v, -3*v + 6 = x. Suppose 2*w - 45 = 3*s, v*w - 3*s - 89 + 17 = 0. What is the remainder when 89 is divided by w? 8 What is the remainder when 147 is divided by (39 + -48)/(3/(-5))? 12 Suppose -5*c = -4*y - 2 + 14, y - 3 = 4*c. Suppose 2*r - 43 + 17 = c. Calculate the remainder when r is divided by (-2 - (-10)/(-3))*(-12)/8. 5 Let j(s) = s + 6. Let n be j(-4). Let m be 70/3*27/18. Suppose n*q - 3*r + 2*r = 47, 0 = -2*q - 3*r + m. Calculate the remainder when q is divided by 5. 2 Let t be ((-15)/12)/(1/(-4)). Let y be ((-4)/t)/((-2)/10). Suppose 40 = n - 3*g, 2*g - 13 = -y*n + 133. What is the remainder when n is divided by 10? 7 Let g = 69 - 66. Suppose 4*u + 3*f - 76 = 0, -4*f - 28 = -g*u + 29. What is the remainder when 130 is divided by u? 16 Let r be ((-3)/(-2))/((-22)/(-176)). Calculate the remainder when (-6 - (-161)/28) + 435/r is divided by 134/10 + 4/(-10). 10 Suppose -17*b = -16*b + 4. What is the remainder when 326 is divided by ((-82)/b)/((-68)/8 + 9)? 39 Suppose -4*f = 295*i - 287*i - 292, -2*i = -5*i. Calculate the remainder when 1251 is divided by f. 10 Suppose c + 32 = 4*u - 20, -2*u = -5*c - 8. Suppose 0 = 5*f - 4*h - 10, 3*f - 4*h = u. Calculate the remainder when 56 is divided by (-256)/12*6/(-4) + f. 26 Suppose -3*z - 25 = -8*z. Suppose 0 = -z*m - 19*m + 384. What is the remainder when m is divided by 13? 3 Let i be 270/38 + (-10)/95. Suppose 21 = i*q - 63. Suppose 3*k + 0*u + 5*u = 159, 2*k + 3*u = 107. What is the remainder when k is divided by q? 10 Suppose 0 = -y + 3200 + 414. Suppose 33*w = 7*w + y. What is the remainder when w is divided by 18? 13 Let f = 8747 + -8712. What is the remainder when 2131 is divided by f? 31 Let g be 208/4 + 3 + (11 - 7). Suppose 12*q - 599 + g = 0. What is the remainder when q is divided by 6? 3 Let h(o) = 2*o**2 + o + 78. Calculate the remainder when 470 is divided by h(-9). 8 Let s(n) = n**3 - 50*n**2 - 210*n - 361. Calculate the remainder when s(55) is divided by 134. 132 Let h be ((-1611)/(-3))/((-2)/(-6)). Calculate the remainder when (h/6)/(5 + (-36)/8) is divided by 15. 12 Let d = -119 - -310. Suppose 9*j - 89*j = -2560. Calculate the remainder when d is divided by j. 31 Suppose 17 = -2*s + 3*y - 2, -2*y = -s - 12. Calculate the remainder when (-117)/(-36) + s/8 is divided by (-3)/(-6 + 3) + 5/5. 1 Calculate the remainder when (-6*20/90)/((-8)/10068) is divided by 555. 13 Let y(w) = -2*w**3 - 6*w**2 - w + 1677. What is the remainder when y(0) is divided by 416? 13 Let q be (-11)/(-4) - 4/(96/18). What is the remainder when 47 is divided by q - (-28 - -7) - -5? 19 Suppose 8*f - 7616 - 3238 = 4018. Calculate the remainder when f is divided by 94. 73 Suppose 2*a + 0*q - 80 = 4*q, -185 = -5*a + 5*q. What is the remainder when 199 is divided by a - (-99)/22*8/6? 39 Suppose 0 = 1629*c - 1628*c - 4. What is the remainder when 181 is divided by c? 1 Suppose 0 = -2*a + 8, 3*u - 226 - 205 = -2*a. What is the remainder when u is divided by (-32)/(-6)*27/2? 69 Let p = -1720 - -2061. Calculate the remainder when p is divided by 4. 1 Let a be 2/(-7) - (-7)/((-245)/(-10)). Calculate the remainder when 2 + a - (-10 - (5 + 134)) is divided by 17. 15 Suppose -4*y + 52 = -2*b, 49*b - 44*b = 2*y - 18. Calculate the remainder when (-250)/(-6) + (-6)/9 is divided by y. 13 Suppose -b = 3*w + 12 - 56, -2*w = 4*b - 36. Calculate the remainder when -4 - (-206 - 4/1) is divided by w. 10 Suppose 0 = -184*q - 99*q - 2655 + 34351. What is the remainder when 3469 is divided by q? 109 Suppose 539 = 11*v - 0*v. Calculate the remainder when v is divided by 8 + 3/(-12) + 153/36. 1 Let r(d) = 15*d + 5. Let g be r(0). Suppose -5*a + g*w = -60, 5*a + 3*w - w = 95. What is the remainder when 200 is divided by a? 13 Let u = -377 - -745. Calculate the remainder when u is divided by 181. 6 Let f(g) = -g + 36. Let s = -14 - -7. Calculate the remainder when f(s) is divided by 15. 13 Let f = 96 - 56. Suppose 40*o = 44*o. Suppose o = c - 0*c - 14. Calculate the remainder when f is divided by c. 12 Suppose 2*m + 2*a = 3342 - 3122, m = -3*a + 120. Suppose 0 = b + 2 - 21. What is the remainder when m is divided by b? 10 Let g(s) = -5
{ "pile_set_name": "DM Mathematics" }
x) = x**2 - 7*x - 2. Let l(n) = -4*n + 12. Let q be l(3). Suppose 2*d + 0*d - 10 = q. Give g(d). -12 Let g(b) = b**3 - b**2 + b + 4. Let t = -3 - -3. Let d be g(t). Let u = d - 2. Let h(i) = -i**3 - i**2 + 2*i - 2. Give h(u). -10 Let d(c) be the third derivative of -c**4/24 - c**3/6 + 6*c**2. Let t = -2 - -2. Let l be (t/3)/(2 - 3). Calculate d(l). -1 Let i(x) = x**3 - 20*x**2 + 27*x + 151. Let w be i(18). Let d(m) = -m**3 - 13*m**2 - 19*m + 25. Determine d(w). -8 Let d(p) = -p**2 - 4*p + 2. Let s(q) = -q**2 + 9*q + 20. Let l be s(10). Suppose -2*i - 32 = 3*i + 2*v, 2*i + l = 2*v. Calculate d(i). -10 Let h(z) = z**3 + 9*z**2 + 6*z + 6. Let j = -1758 - -1750. Determine h(j). 22 Let i = 422 - 418. Let a(y) = -y**2 + 2*y + 4. What is a(i)? -4 Let i(n) = -n**3 - n - 2. Let t(w) = 6*w**3 + 2*w**2 + 3*w + 8. Let p(a) = 3*i(a) + t(a). Determine p(-2). -14 Let r(f) = f**3 - 5*f**2 - 6. Let m(j) = -j**2 + j + 1. Let i(u) = -2*m(u) - r(u). Give i(7). -10 Let d(g) be the first derivative of 11*g**2/2 + 4*g - 182. What is d(-1)? -7 Let v(t) be the third derivative of t**4/24 - t**3/3 - 132*t**2. Calculate v(-7). -9 Let o(h) = -h**3 - 6. Let w be 11/(-88) + 1/8. Determine o(w). -6 Let t(a) be the second derivative of -a**4/12 + 7*a**3/6 - a**2 + 28*a. Suppose 7 = 2*x + 1. Calculate t(x). 10 Let r be ((-52)/(-39))/4 - (-38)/(-6). Let x(n) = -n**3 - 5*n**2 + 8*n. What is x(r)? -12 Let x(i) be the second derivative of 7*i**3/6 - i**2/2 + 2*i + 2. Let w(v) = v**3 + v**2 - 3. Let s be w(0). Give x(s). -22 Let i = -11 - -15. Suppose -5*u = s - 13, -i*u + 4*s + 23 = u. Let k(v) = 10*v + 16. Let j(c) = -2*c - 3. Let h(r) = 16*j(r) + 3*k(r). What is h(u)? -6 Let s be 10*(248/(-32) + 8). Let p(q) be the first derivative of -s*q**2 - 1 + 2*q. Give p(2). -8 Let o(k) = -k**3 + 5*k**2 - 6*k + 6. Suppose 2*m - 7 + 5 = 0. Let t(x) = x - 3 + x - x + m. Let w be t(6). What is o(w)? -2 Let q(b) = 2*b**3 - 11*b**2 + b - 24. Let v(p) = 3*p**3 - 16*p**2 + p - 36. Let i(y) = -8*q(y) + 5*v(y). Determine i(8). -12 Let l(f) be the first derivative of -2*f**3/3 - 5*f**2/2 - f - 136. Determine l(-4). -13 Let g = 14 - 6. Let u be (-12)/g*8/(-6). Suppose 0 = u*b - 3*b - 1. Let c(p) = -9*p**2 - 1. What is c(b)? -10 Let p = 15 - 11. Suppose -4*n = -4*w, 4 = -n + w - p*w. Let x(v) = -5*v**3 + 2*v**2 + 2*v + 1. Let l be x(n). Let h(s) = -s**3 + 6*s**2 - s - 1. What is h(l)? -7 Let h(t) = 5*t - 11. Let v(g) = 13*g + 211. Let d be v(-16). What is h(d)? 4 Let x(k) = -6*k**2 - 6 - k**3 + 2*k - 27*k - 2 + 26*k. Give x(-6). -14 Let k be 0 - -2 - 0/(-1). Suppose 8 = -k*w - 2. Let x(h) = -h**3 - 5*h**2 - h - 7. Give x(w). -2 Let i = -19 + 34. Let a = 9 - i. Let f(q) = -q**2 - 9*q - 8. Let p(s) = s**2 + 10*s + 8. Let n(b) = 3*f(b) + 2*p(b). Calculate n(a). -2 Let f(t) = t**2 + 1. Let p(d) = 3*d**2 - 15*d + 23. Let v(k) = 4*f(k) - p(k). What is v(-14)? -33 Let p be (-5)/5 + 2 + 1. Let i(g) = 1 + 5*g**p - g**3 + 4*g + 4*g + 0*g**3 + g**2. What is i(7)? 8 Let f(x) be the third derivative of -x**6/120 - 11*x**5/60 + 7*x**3/6 + 57*x**2 - 1. Determine f(-11). 7 Let w(f) = 2*f - 1. Let b(a) = -5*a + 5. Let d(g) = 3*b(g) + 6*w(g). Determine d(-9). 36 Let c(i) = -i**3 - 2*i**2 - i - 2. Suppose z = 3*n + 1 + 13, -2*n = z + 16. Let y(x) = -x**2 - 9*x - 6. Let v be y(n). Let t = v - 14. What is c(t)? 0 Let a(g) = -11 + 2*g**2 + 2*g - 29 + 39. Calculate a(-2). 3 Let u(b) = -5 + 2 - 1 - 5 + 2*b. Let d = -24 - -33. Suppose -p + d = 3. Calculate u(p). 3 Let v(r) = r**2 - r - 5. Let z be (-21)/(-84) + 13/(-4). Give v(z). 7 Let d = -22 - -14. Let r(f) = -7*f - 12. Calculate r(d). 44 Let m(a) = 10*a**2 - 2*a. Suppose 5*p + 13 = 2*c + 37, 5*c + 4*p - 6 = 0. Give m(c). 44 Let p(q) = q**2 - 2*q**2 - 4 + 0*q - 5*q + 0*q**2. Let k be -3*(11/3 - 1). Let c = -12 - k. Calculate p(c). 0 Let t = 156 - 161. Let o(p) = p**3 - 5*p - 1 - 3 + 0*p**2 + 4*p**2. Calculate o(t). -4 Let t(s) = -8*s + 9 - 4*s + 14*s. Give t(-3). 3 Let m = -21 - -29. Let l = 11 - m. Let p(s) = 6 - 4*s - s - s + 7*s**2 + 2*s**3 - 3*s**l. Calculate p(6). 6 Let a(y) = -11*y**2 - 5*y - 20. Let i(m) = 8*m**2 + 4*m + 13. Let s(k) = 5*a(k) + 7*i(k). Give s(-6). 9 Let x(t) be the third derivative of t**6/120 - 7*t**5/60 - t**4/4 - 11*t**3/6 + 210*t**2. Calculate x(8). 5 Let k(c) be the first derivative of c**2/2 - 8*c + 580. Give k(3). -5 Suppose 0 = -j - 2*z - 7, 5 = 5*j + 2*z. Let t(d) = -4*d**2 + j + 4*d**2 - d**2 + d - 2. What is t(2)? -1 Let d(g) be the third derivative of -g**5/60 - g**4/12 + 8*g**3/3 - 923*g**2. Calculate d(-6). -8 Let r(m) = 5*m**2 + 20*m + 20. Let o = -15 + 11. Let b = o - -12. Let i(a) = 2*a**2 + 7*a + 7. Let f(c) = b*i(c) - 3*r(c). Calculate f(3). -7 Let b = -1 + 4. Suppose b*p - 2 - 4 = 0. Suppose p*t = 6*t - 24. Let q(w) = -w**2 + 5*w + 2. Give q(t). -4 Let f(b) = b - 11. Let w(a) be the third derivative of a**3/3 + a**2 + 4*a. Let t(m) = f(m) + 6*w(m). Calculate t(-2). -1 Let v = 3 + -9. Let d(p) = p + 17. Let n be d(-14). Let f(a) = 4 + 2 - n - a. Calculate f(v). 9 Let w(g) = -2*g**2 - 7*g - 1. Let p(h) = -4*h**2 - 15*h - 2. Let m(c) = -6*p(c) + 13*w(c). Let i(b) be the first derivative of m(b). Determine i(-2). 7 Suppose n + 17 = -0*n + 4*r, 26 = 2*n + 4*r. Let z(q) = -5 - n*q + q + q. Let j(k) = -5*k - 26. Let y(x) = 2*j(x) - 11*z(x). What is y(0)? 3 Let h(k) = k**2 + 2*k - 7. Suppose -4*w = 8, -4*w + 2*w = 2*i - 76. Suppose 0 = 6*d + 2*d + i. Give h(d). 8 Let w(n) = -65*n**2 - n + 1. Let o be (1/(-2))/((-152)/16 - -9). What is w(o)? -65 Let a(j) = -j**3 + 5*j**2 - j. Suppose z + 178 = 183. Determine a(z). -5 Let s(z) be the third derivative of -z**5/60 + z**4/12 + 7*z**3/3 + 2*z**2 - 357. Give s(-5). -21 Let x(r) = r + 2. Let h(n) = -n**3 - 16*n**2 + 4*n + 65. Let b be h(-16). Calculate x(b). 3 Suppose -s - 1 = -4. Let n(i) = -s + i**3 + 6*i**2 + 2 + 3 - 6*i. Suppose q + 13 = -4*y - 14, 4*q = 4. Calculate n(y). -5 Let i(s) = 29 + s**2 - s**3 - 63 + 29. Let v = -26 + 26. Calculate i(v). -5 Let z(c) be the first derivative of -c**3/3 - c**2/2 + 3*c - 120. Give z(-2). 1 Let k(o) = o**2 + 3*o - 3. Let d = 69 + -15. Let t = -57 + d. What is k(t)? -3 Let x(y) = 1. Let q(g) = g + 4. Let j(i) = -1. Let k(u) = -8. Let a(z) = -4*j(z) + k(z). Let c(w) = 2*a(w) + 3*q(w). Let h(p) = c(p) - 5*x(p). Calculate h(-2). -7 Let n(o) be the first derivative of o**4/4 + 5*o**3/3 - 2*o**2 + 13*o + 81. What is n(-6)? 1 Let k(a) = -a**3 + 5*a**2 - 3*a - 2. Let h(y) = 5*y + 30. Let m be h(28). Suppose 0 = -m*s + 169*s + 3. What is k(s)? 7 Let h(k) = -31 + 2*k + 18 + 40. What is h(-10)? 7 Let h(r) = 28 + 0 - 4 - r - 20. Calculate h(12). -8 Let c(s) = 6*s + 7. Let t(o) = o - 1. Let j(w) = -c(w) + 5*t(w). Let m be j(-9). Let h(v) = 1 + 3*v - 2*v + 4. Give h(m). 2 Let r(u) = u**2 - 5*u**3 - 8*u + 2*u**3 + 1 - 3*u**3 + 6*u. Let w be 0 + -3 + 2 - -2. Suppose 2*l - 3 + w = 0. What is r(l)? -6 Let x(w) = w**2 + 14*w + 44. Let k be x(-8). Let f(p) = p**2 + 3*p + 2. What is f(k)? 6 Let v(i) = -118*i - 943. Let y be v(-8). Let x(d) = -10*d**3 - d + 1. Determine x(y). -10 Let b(z) be the third derivative of 0*z + 4*z**2 + 0 + 11/6*z**3 + 0*z**4 + 1/40*z**6 + 0*z**5. Let l(i) be the first derivative of b(i). Calculate l(1). 9 Let v(w) = -42*w**2 + 5*w - 7. Let p(k) = k - 1. Let y(a) = 6*p(a) - v(a). Give y(-1). 42 Let h(o) = o**3 + 5*o**2 - o - 3. Suppose 10*j = 6*j + 8. Suppose -k - j = 0, -q - 2*q - 5*k + 14 = 0. Let u = -13 + q. Determine h(u). 2 Let v(p) be the first derivative of 0*p**3 - 3*p - 5 + 1/4*p**4 + 0*p**2. Calculate v(0). -3 Let w(j) = j**3 + 10*j**2 + 11*j + 18. Let q(s) = -2*s**3 - 52*s**2 + 53*s - 36. Let d be q(-27). What is w(d)? 0 Let h(b) = -3*b + 6. Let g be h(-4). Let t(a) = a**2 + 26*a - g*a - 14*a - 6. Give t(6). -6 Let h(g) = 3*g**2 + g - 3. Suppose -3*q - 9 = 0, 18 = -y - 5*q - 1. Let l(f) = 2*f**2 + 2*f - 3. Let z(w) = y*l(w) + 3*h(w). Suppose 4*p - 17 = 3. Give z(p). 3 Let z(o) = o**2 - 10 + 12*o - 22*o + 4*o. What is z(8)? 6 Let p(z) = 12 + 15*z - 11 - z**2 + 5. What is p(14)? 20 Let f(d) be the second derivative of 1/6*d**4 - 23*d + 1/6*d**3 + 0 - d**2. Determine f(-2). 4 Let r(c) = -c**2 + 2*c - 3. Let v be -1 - (3 - 5) - 1. Suppose -3*b + 5*g + 12 = 2*g, v = -b - g. Give r(b). -3 Let d(s) = 5*s**3 - 2*s**2 + 1. Let h be d(1). S
{ "pile_set_name": "DM Mathematics" }
rs picked without replacement from eyyuyeeeeeyyeeyeeee. What is prob of picking 1 u and 3 e? 55/969 What is prob of picking 1 i and 1 k when two letters picked without replacement from {i: 1, m: 4, h: 3, k: 6}? 6/91 Calculate prob of picking 2 p and 1 v when three letters picked without replacement from pvv. 0 What is prob of picking 3 f when three letters picked without replacement from {f: 7, z: 9}? 1/16 Two letters picked without replacement from rabji. What is prob of picking 1 j and 1 r? 1/10 Three letters picked without replacement from goggogo. What is prob of picking 3 g? 4/35 Calculate prob of picking 2 i when two letters picked without replacement from {n: 2, i: 8, s: 5}. 4/15 Two letters picked without replacement from {k: 7, q: 7}. Give prob of picking 1 k and 1 q. 7/13 Calculate prob of picking 1 f and 3 x when four letters picked without replacement from fxxiiggxxfxxffxiifi. 175/3876 Four letters picked without replacement from gnkngnngknntnkkkt. Give prob of picking 1 g, 1 t, and 2 k. 3/119 What is prob of picking 2 f and 1 u when three letters picked without replacement from ufffffffufffffuffu? 91/204 Three letters picked without replacement from {y: 2, c: 1, z: 2}. Give prob of picking 1 y, 1 z, and 1 c. 2/5 Two letters picked without replacement from {c: 1, z: 1, p: 2, j: 2, w: 1, i: 2}. Give prob of picking 1 i and 1 z. 1/18 Calculate prob of picking 2 j when two letters picked without replacement from {u: 2, m: 1, k: 1, i: 1, j: 2}. 1/21 Calculate prob of picking 1 r and 1 o when two letters picked without replacement from {y: 1, k: 1, q: 1, r: 1, o: 1}. 1/10 Two letters picked without replacement from {w: 4, g: 3, f: 2, d: 1, s: 1}. Give prob of picking 1 w and 1 s. 4/55 Four letters picked without replacement from ffff. Give prob of picking 4 f. 1 Four letters picked without replacement from {v: 1, y: 3, c: 1, i: 2, k: 2, f: 3}. What is prob of picking 1 c, 2 f, and 1 y? 1/55 Calculate prob of picking 1 z and 3 a when four letters picked without replacement from {z: 5, a: 5}. 5/21 Three letters picked without replacement from nvqvvvavvqqvk. What is prob of picking 1 v, 1 q, and 1 k? 21/286 What is prob of picking 1 g and 1 y when two letters picked without replacement from {d: 3, f: 6, g: 1, e: 2, y: 1}? 1/78 Two letters picked without replacement from wktkkwktukkwkktkkkkt. Give prob of picking 1 u and 1 k. 6/95 What is prob of picking 2 z when two letters picked without replacement from nznznz? 1/5 Four letters picked without replacement from nbtxnbbbxbbccbcbnnn. What is prob of picking 2 n and 2 c? 5/646 Three letters picked without replacement from {i: 2, f: 5, p: 4, g: 3, z: 5}. Give prob of picking 2 g and 1 z. 5/323 Calculate prob of picking 2 e, 1 r, and 1 v when four letters picked without replacement from {r: 1, l: 2, o: 1, e: 4, v: 1}. 1/21 Two letters picked without replacement from tbbbbbbbtbbbb. Give prob of picking 1 b and 1 t. 11/39 Two letters picked without replacement from {v: 5, b: 4, i: 1, u: 1}. Give prob of picking 1 b and 1 v. 4/11 Calculate prob of picking 1 x and 2 c when three letters picked without replacement from xcxxxyccx. 5/28 Calculate prob of picking 1 h and 1 e when two letters picked without replacement from {e: 11, h: 1}. 1/6 Two letters picked without replacement from shsxmfyfssssfxsyss. What is prob of picking 1 s and 1 m? 1/17 Calculate prob of picking 1 q and 1 t when two letters picked without replacement from {e: 6, q: 1, t: 7}. 1/13 Three letters picked without replacement from kheohpr. What is prob of picking 1 h, 1 r, and 1 e? 2/35 Calculate prob of picking 2 y when two letters picked without replacement from {w: 2, p: 7, y: 4, f: 1, s: 1}. 2/35 Three letters picked without replacement from armaaammmmmauuamarm. Give prob of picking 1 u and 2 a. 14/323 Calculate prob of picking 1 s and 1 v when two letters picked without replacement from vvsssss. 10/21 What is prob of picking 1 k and 1 a when two letters picked without replacement from {k: 4, j: 1, a: 1, e: 1, x: 1}? 1/7 What is prob of picking 1 i and 1 u when two letters picked without replacement from ggiiu? 1/5 Three letters picked without replacement from hootheheotwoghtttoh. What is prob of picking 1 g, 1 o, and 1 h? 25/969 Two letters picked without replacement from hclrcerrryrrryrryyyr. Give prob of picking 1 y and 1 e. 1/38 Four letters picked without replacement from vpvovowjvvjj. Give prob of picking 1 w, 2 j, and 1 p. 1/165 Calculate prob of picking 1 w and 1 y when two letters picked without replacement from {y: 1, q: 1, w: 2}. 1/3 Two letters picked without replacement from {y: 5, o: 2, f: 2, l: 1, u: 10}. What is prob of picking 1 l and 1 f? 1/95 Two letters picked without replacement from {h: 1, f: 1, r: 1, n: 2}. What is prob of picking 1 h and 1 n? 1/5 Two letters picked without replacement from {j: 1, i: 3, g: 1, f: 7, t: 1}. Give prob of picking 1 f and 1 g. 7/78 Four letters picked without replacement from ffzffztzzzzftttzbz. What is prob of picking 1 b, 2 f, and 1 t? 2/153 Calculate prob of picking 1 r and 1 b when two letters picked without replacement from ebrbu. 1/5 What is prob of picking 1 w and 1 l when two letters picked without replacement from {l: 1, w: 2, e: 1}? 1/3 Four letters picked without replacement from {o: 13, x: 6}. What is prob of picking 3 x and 1 o? 65/969 Four letters picked without replacement from uuuuuuuuuvuuu. Give prob of picking 4 u. 9/13 Calculate prob of picking 1 x, 1 q, and 2 f when four letters picked without replacement from {q: 7, h: 1, f: 2, x: 2, r: 2, u: 1}. 2/195 Two letters picked without replacement from {h: 1, a: 2, b: 7, o: 7, w: 2}. Give prob of picking 1 h and 1 w. 2/171 What is prob of picking 2 i and 1 f when three letters picked without replacement from {f: 2, w: 1, j: 1, i: 2, g: 1}? 2/35 Three letters picked without replacement from jjjjsjjjjssjsjjjjjjj. What is prob of picking 3 s? 1/285 What is prob of picking 1 k and 1 p when two letters picked without replacement from lkjjjkpllj? 2/45 Two letters picked without replacement from {k: 2, a: 6}. Give prob of picking 2 k. 1/28 Two letters picked without replacement from reqbqqqqqrquuqerqqu. What is prob of picking 1 q and 1 e? 20/171 Two letters picked without replacement from mloyrro. Give prob of picking 1 o and 1 r. 4/21 Calculate prob of picking 1 r, 1 n, and 1 v when three letters picked without replacement from wvwwwvrrrrwwwwwn. 1/70 Four letters picked without replacement from eerwttweyhw. What is prob of picking 1 e, 1 w, 1 y, and 1 t? 3/55 What is prob of picking 2 w and 1 r when three letters picked without replacement from wwhhwwrhw? 5/42 Calculate prob of picking 1 l and 1 o when two letters picked without replacement from gqlocooogclg. 4/33 Calculate prob of picking 1 z, 1 h, and 1 w when three letters picked without replacement from {b: 9, w: 1, p: 3, h: 4, z: 2}. 8/969 Two letters picked without replacement from hhnddnuxdnuv. Give prob of picking 1 h and 1 x. 1/33 Three letters picked without replacement from {h: 1, o: 3, c: 1, m: 9}. Give prob of picking 3 o. 1/364 Two letters picked without replacement from gbgbgzgbbggggzb. What is prob of picking 1 z and 1 b? 2/21 Two letters picked without replacement from {m: 2, v: 2, g: 1, y: 1, s: 2, h: 1}. Give prob of picking 1 h and 1 s. 1/18 Calculate prob of picking 2 i and 1 r when three letters picked without replacement from {x: 2, r: 1, c: 1, i: 2}. 1/20 Calculate prob of picking 2 l when two letters picked without replacement from {l: 2, y: 10}. 1/66 Four letters picked without replacement from cmnjmjcmmvc. Give prob of picking 1 n, 2 c, and 1 v. 1/110 Calculate prob of picking 1 x and 1 j when two letters picked without replacement from jpxxdpjjxjppxpx. 4/21 Three letters picked without replacement from xffffffxfffkiffff. Give prob of picking 1 x and 2 k. 0 Four letters picked without replacement from hnnxxhhhxxwxhwnxx. What is prob of picking 2 h, 1 w, and 1 x? 1/17 Two letters picked without replacement from {p: 1, m: 2, w: 3, d: 2, n: 6, t: 6}. Give prob of picking 1 d and 1 t. 6/95 Four letters picked without replacement from diddddidddidddddidd. What is prob of picking 2 i and 2 d? 105/646 Three letters picked without replacement fr
{ "pile_set_name": "DM Mathematics" }
9 = 0, 4*a - g = -4*i - a for i. 4 Let x(g) = g + 9. Let r be x(5). Let u be (r/(-5))/((-4)/10). Solve k + 6 + u = 5*t, -4*t + 2*k + 14 = 0 for t. 2 Suppose 4 - 5 = -o. Let t be (1 - 2 - o) + 2. Solve 3*m = -4*z + 5, t = 3*m + 4*z - z - 3 for m. -1 Let v be (-10 + -2)*2/(-6). Solve 2*x = -2*n + 10, -v*x + 5 = -3*x + 3*n for x. 5 Let i = -15 - -15. Solve 3*x - 2*t = -1, -x + 2*t = -i*t - 1 for x. -1 Let k(i) = -4*i**2 - 21*i - 3. Let r be k(-5). Solve 9 = 3*u + 3*p - 9, 16 = 5*u - r*p for u. 4 Let h = 16 + -7. Solve 0 = 3*z + 3*y - h, -3*y = -2*z - 5 + 6 for z. 2 Let t = -109 + 114. Solve 4*j = 3*p + j, 2*p = -t*j - 21 for p. -3 Let z be 6*(-11)/(-33)*(1 + 1). Let r(i) = i**3 - 5*i**2 - 5*i - 3. Let q be r(6). Solve 3*k + 31 = -5*o, -z*o = -2*k - q*k + 10 for k. -2 Let p(q) = -q**2 + 10*q - 1. Let h = 2 - -5. Let b be p(h). Solve 5*a + v - b = 0, -2*v = 3*a - 13 + 1 for a. 4 Let c be (-1 + 1)/(2 - 1). Suppose 0 = l + 5*y - 18, 4*l = y - c*y + 51. Solve g = 2, 5*g + 5 - l = -k for k. -2 Let y be (-2)/6*(-9)/1. Suppose 2*j + 17 = 4*w - y*j, 5*w + j = 14. Solve 0 = 5*c - r + 7, w*c = c + 2*r - 6 for c. -1 Let t be (-10)/30 + 7/3. Solve b - x + 2*x - 7 = 0, t*b + x - 11 = 0 for b. 4 Let a = 10 - 11. Let s be (-2)/(a*(-3)/(-6)). Solve 7*k = 2*k - u + 12, s*k = -u + 10 for k. 2 Suppose 8 = -5*g - 5*o + 38, 4*g = 5*o + 15. Solve -2*d - t + 10 = -g*t, -4*t - 12 = 0 for d. -1 Let u be 10/(-14) - (-2)/(-7). Let r be (-3)/(-1)*(-1)/u. Suppose r*l = 19 - 7. Solve l*o + 4*j = -28, -j = 2*o - 0*j + 10 for o. -3 Suppose -3*s + 4 = -5. Solve -p - 17 = -4*p - 5*f, 3*p = -s*f + 15 for p. 4 Suppose -y = 3*l - 6*y - 10, -4*l = 4*y - 24. Solve 0 = q + l*a - 25, -4*q + 9*q - 37 = -3*a for q. 5 Suppose 4*i = -2 + 14. Let n = 9 - 6. Solve -6 = i*x + z - 2*z, n*x = 5*z - 6 for x. -2 Let h = -64 + 97. Let b = 15 + h. Suppose 4*a - b = -16. Solve -2*d + 25 = 5*n, 0*n = n + d - a for n. 3 Let t = -7 + 7. Suppose 4*d - 2*d - 6 = 0. Suppose t = u - d*u. Solve 5*z - 25 = u, -p + z + z = 6 for p. 4 Let w(i) be the second derivative of -i**5/10 - i**4/3 - i**3/2 - i**2 + 3*i. Let f be w(-2). Solve 0 = 5*c + 5*x, -5*c + 5*x - f*x + 24 = 0 for c. 4 Suppose 5*b = 2*n - 14, 3*n - 11 = 2*b + 3*b. Let d be (2/(-3))/(1/n). Let i(f) = -4*f - 33. Let s be i(-9). Solve -d*g = -4*c - 14, s*g + 0*c - 17 = 2*c for g. 5 Let o be 0/1 + 0 - (13 + -23). Solve 0 = -4*l - b - 7, 2*l - 2*b + o + 6 = 0 for l. -3 Suppose -5*t - 19 = -4*v, 0 = 2*v + 3*t - 12 - 3. Suppose 8 = 2*g - v*g. Let s = 6 + g. Solve -s*q = 5*n - 10, 5*n = -0*q + 5*q + 10 for q. 0 Let o = -8 + 35. Suppose -5*z = -z + l - 17, -5*z + 23 = 3*l. Suppose -z*c - 19 = -79. Solve -c = -4*g - 0*g - a, 5*a = -4*g + o for g. 3 Let i(m) = m**2 - 2*m. Let c(n) = n**2 + 11*n + 18. Let h be c(-9). Let a be i(h). Solve 5*q + 5*r - 20 = a, -3*r = -2*q + q for q. 3 Let x be ((-4)/6)/(4/(-60)). Suppose 0 = 2*s + 5*i - 16 + 2, -5*i + x = 0. Solve -4*a - 1 = 5*t + 10, 2 = s*t for a. -4 Suppose 2*q - 6 = 2, -52 = -4*s - 3*q. Solve -5*h - 3*y - 2*y = s, h - 4 = 5*y for h. -1 Let s(x) be the first derivative of 5*x - 3 - 1/2*x**2. Let f be s(4). Solve -t = -z - f, 4 = 4*t + 3*z - 7 for t. 2 Suppose -u + 3*u + 6 = 0. Let q be (-8)/u + 2/6. Solve 4*x + 3*k + 0 = 1, -q*x - k + 2 = 0 for x. 1 Let p(x) = 5*x**2 - 1. Let t = 1 - -6. Suppose 4 = t*i - 3*i. Let k be p(i). Solve -2*q - 3 = -d + q, -3*d - k*q - 4 = 0 for d. 0 Suppose 5*r - 5*y = 5, 13 = 4*r - y - 3. Suppose -r*f = -23 + 3. Solve -3*k - f = 3*c + 17, c = -3*k - 17 for k. -5 Let u(x) = x**3 + 3*x**2 + 2*x + 4. Let q be u(-3). Let c be q/6 + 39/9. Solve -4*p + 9*j = c*j + 17, -3*p - 5*j + 31 = 0 for p. 2 Let y be (2*-1)/6*(-450)/10. Solve -k - y = -0*k + 4*h, 4*h + 9 = k for k. -3 Suppose q + 4*q - 8 = 3*h, 0 = -3*h + 12. Solve -3*c + 1 = -q*b, -5*c = -5*b - 0*b for c. -1 Let z(n) = 2*n + 3 - 5*n + 0*n + 2*n. Let s be z(0). Suppose s*a = 7*a - 16. Solve 0 = 3*i + 6, -a + 0 = -3*g + 2*i for g. 0 Let y be -1 + (-2 - (-6 + 3)). Solve -3*w + g = w - 6, y = 4*w + 2*g - 12 for w. 2 Let f(w) = w**2 + 13*w + 15. Let r be f(-12). Let k be (r - 0) + 23/1. Solve 4*j - k = -3*d - 0*d, 27 = d + 5*j for d. 2 Let h(r) = r**2 - 6*r + 5. Let i be h(4). Let k = 5 + i. Suppose -4*f + k*m + 8 = -16, 0 = -5*f - 4*m + 43. Solve 2*o = -4*g - 0*o + 12, -g - f = -2*o for g. 1 Let x = -43 + 49. Solve 3*k = 5*b + 10, -x = 2*k - 3*k - b for k. 5 Let b(f) = 3*f + 1. Let d be b(-2). Let x = d + 8. Solve a - 3*l + 16 = -0*l, 8 = -x*a - l for a. -4 Let z(j) = -j**3 + 7*j**2 + 3. Let l be z(7). Let u be (-240)/36*(-48)/10. Solve -5*k + 0*d = l*d - u, d + 12 = 4*k for k. 4 Let h be (-88)/33*(-3)/2. Solve -j - 3*g = -12, 0*j - h*j - 4*g = -16 for j. 0 Let r = -9 + -1. Let v = -5 - r. Solve 0 = v*h - u + 18, -5*h = -u + 5*u + 3 for h. -3 Suppose -11 = -15*d + 19. Solve -5*j + 3*n = -4, d*j = -j - 4*n - 15 for j. -1 Let g be (-8)/(-28) + (-12)/(-7). Let s be -2 + 0 - 2*-3. Suppose -u - 2 = -l - s*l, -u = 2*l - 19. Solve 2*t + u = -5*w, g + 1 = -w for t. 1 Let p be (-155)/(-35) - 4/(-7). Solve 5*q - p*a - 21 = 9, -5*a = -2*q + 15 for q. 5 Suppose 3*n - 44 = -4*h, -17 + 4 = -n - 3*h. Solve -5*q - 21 = -4*o, o + 2*q + n = -q for o. -1 Let f(t) = -2*t**2 + 53*t + 28. Let w be f(27). Solve -2*q - 12 = -5*g, 0*g - w = g + 3*q for g. 2 Let k be (-124)/(-44) - 4/(-22). Let z be k + -2 + -2 + -6. Let c = z + 15. Solve 2*s - c = -2*f, -5*f + s - 2*s = 0 for f. -1 Let z = 18 + -16. Suppose s + 2*n = -2*s + 3, 0 = z*s + 2*n. Solve 5*j + x - 3 = 0, 2*j + 2 + 2 = -s*x for j. 1 Let n be 8/3*(-3)/(-2). Solve n*b = -2*s - s + 27, 5*s - 31 = -2*b for b. 3 Let i(r) = -10*r - 4*r**3 - 5*r**2 + 4*r**3 - 6*r**2 - r**3. Let f be i(-10). Solve f = w + 5*u + 4, -4*w + u + 6 = w for w. 1 Let d(n) = 4*n + 5. Let x be d(0). Solve 22 = -x*w - 2*c + 4*c, -c + 1 = 0 for w. -4 Suppose -8 = -2*q - i, 4*q - 2*q - 3*i = -8. Solve -4*k - d - 17 = q*d, 1 = d for k. -5 Let d(b) = -2*b - 6. Let o be d(-3). Solve 0 = -s + 5*y, o*s = 2*s + y - 11 for s. 5 Suppose 0 = -3*x - 2*f - 37, -5*x - 3*f + f = 55. Let a(t) = -t**3 - 10*t**2 - 8*t + 10. Let s be a(x). Solve 3*c + s = y - 6, -4*y = 2*c + 14 for c. -3 Let s(h) = h**2 - 6*h - 6. Let v be s(7). Let p be -1 + 4/v - 1. Solve 4*y = -3*j - 25, p*y - 6 = 5*y - 2*j for y. -4 Let u be (1*-4)/2*-2. Let m be (-258)/(-54) + (-2)/(-9). Suppose 3*q - 90 = m*p, q - 8 = -3*p + 8. Solve 0 = 5*a - q, 3*v = -0*v + 2*a - u for v. 2 Suppose 4*x + 27 = 5*d, -4*d - x + 15 = -2*x. Solve v = d*h - 8*h - 11, -4*h - 8 = 0 for v. -1 Let x = 8 - 4. Suppose -w + x = -6. Solve 2*b + 3*b - w = 4*g, b + g + 7 = 0 for b. -2 Suppose 20 = 2*l - 2*a - a, l + 16 = -5*a. Suppose -3*t + 20 = l*k - 5*t, 2*k + 5*t + 14 = 0. Let u = 8 - 6. Solve 15 = -u*z - k*z, -z = -4*f - 9 for f. -3 Let t be ((-2)/(-4))/((-2)/(-4)). Solve 3*k - 3*s = 18, 2*s + 9 - t = 0 for k. 2 Let n(g) = 3*g**3 - 2*g - 1. Let y be (12/(-16))/(2/8). Let o = y + 5. Let s be n(o). Solve -2*k - 3*k = 3*a - s, 5*k - 10 = 0 for a. 3 Let y(u) = -u**3 - 5*u**2 - u + 1. Let t be y(-4). Let n(f) = -f**3 - 10*f**2 + 12*f + 15. Let r be n(t). Solve 5*m - 5*i - 10 = 0, -i = m - r*m + 4 for m. 1 Let u be 1*3 - (10 - 7). Solve u = 5*d, c - d + 2 = -3 for c. -5 Suppose 3*l - 12 = -l. Solve -11 = b + t - 2, -4*t - 32 = l*b for b. -4 Let p be 3/(-1) + -1 + 4. Suppose p = -t + 4*t - 33. Solve -t = 2*y + 2*f - f, -4*f = 20 for y. -3 Let y = 11 + -11. Suppose 5*b + 5 + y = 0. Let q be ((0 - 1) + 0)/b. Solve 2*u - 3 = -i, -4*u - 8 = -i + q for u. -1 Suppose o + o - 6 = 0. Suppose o*b - 2*b = 1. Solve l + 3*i = -1, 0*l + i = -l + b for l. 2 Let n = 36 - 32. Solve -3*w = 5*a - 22, 16 = 5*w + 5*a - n for w. -1 Suppose 0 = 3*i + 2*w - 16, 3*w = i - 2*i + 17. Suppose x + x - 2 = 5*v, 5*v = -5*x + 75. Let d = -8 + x. Solve d*t = 2*m - 1 - 5, 4*t + i*m = -8 for t. -2 Suppose 7*g - 6 = 4*g. Solve -x = x - 3*n + g, -x - 2*n + 6 = 0 for x. 2 Suppose 4*k - 4 = 0, -3*k = 3*c - 5*c + 121. Suppose -4*m + 25 = -5*y, -c = -9*m + 4*m - 4*y. Suppose -5*s + 10 = -m. Solve -v = 3, -s*v - 1 - 1 = 5*b for b. 2 Let l(a) = -a**3 - 6*a**2 - a - 2. Suppose 2*z - 24 = 6*z. Let r be l(z). Let d(u) = -u - 10. Let s be d(-13). Solve 4*o - 5*o = -4*j + 5, o = -r*j + s for j. 1 Let u = 21 - 21. Solve 2*g = 4*l - 0*l + 8, u = 5*l for g.
{ "pile_set_name": "DM Mathematics" }
2 = -48*j. Sort j, 2, i. j, 2, i Let m be ((-48)/9)/(-16)*9/(-3). Sort -14, 22, m, -2 in decreasing order. 22, m, -2, -14 Let y(s) = s**2 - 17*s - 400. Let j be y(24). Put 0, 4, j in decreasing order. 4, 0, j Let b = 24.55 - 30.55. Sort -0.14, -0.4, b. b, -0.4, -0.14 Let a be 8/2*3/3. Suppose -2*f + 4*s = 8, -5*f + a*s + 8 = s. Let r be f*-1*(-1)/(-2). Put r, 11, -1 in descending order. 11, -1, r Let q = 260 + -272. Let i be 1/4 + 3/q. Let p = 14 + -10. Put i, -2, p, -4 in descending order. p, i, -2, -4 Suppose 4*x + 8 = -8, -5*l - 42 = 3*x. Let i(c) = -40*c + 1. Let u be i(-1). Suppose 2*y - u = -49. Sort l, y, 0, 5 in ascending order. l, y, 0, 5 Let v be 10 - 16 - ((-19)/4)/((-3)/(-4)). Sort 38, -3, v, -4, 2 in decreasing order. 38, 2, v, -3, -4 Let r = -0.67 - -0.46. Let f = r - 3.59. Let q = f - -1.8. Sort q, 0.4, 0.5 in descending order. 0.5, 0.4, q Let n be 0*2/4 + 3*21. Let t(w) = -w**2 - 3*w + 5. Let z be t(-4). Sort n, -4, z, -5 in ascending order. -5, -4, z, n Let c = -143 + 95. Let g = 486 + -442. Let p = g + c. Put p, 1/7, 2 in ascending order. p, 1/7, 2 Suppose 0 = h - 4*n - 21, -5*h = 3*n - 8*n - 60. Let f be -6*(-10)/(-220)*11. Sort f, h, -1 in increasing order. f, -1, h Let y = -0.206 - -0.106. Let m = 145 + -148. Sort -17, m, y in increasing order. -17, m, y Let q = 0.2 - -0.8. Suppose 0 = 709*b - 667*b. Sort -0.07, -2, q, b in descending order. q, b, -0.07, -2 Let j(h) = h + 13. Let q be j(-9). Suppose 3*o + 4*x = 2*x + 13, q*o = 4*x + 24. Sort o, 12, -3 in decreasing order. 12, o, -3 Suppose 19*k - 221 = -240. Let a = 6/5 + -13/15. Put -5, k, a in decreasing order. a, k, -5 Let h = -0.04146 + -1.95854. Sort -0.2, -4, -0.04, h, 2. -4, h, -0.2, -0.04, 2 Let t be (-39)/351*(-8)/28*-7. Sort -0.4, -4/3, -0.1, t, -14 in decreasing order. -0.1, t, -0.4, -4/3, -14 Let t be (-17 + 803/44)/(7/8*5). Put 1/3, t, -0.8, -0.1 in descending order. 1/3, t, -0.1, -0.8 Let q(x) = 6*x + 477. Let b be q(-66). Sort b, -2, -16 in descending order. b, -2, -16 Suppose -8*n + 28*n - 2060 = 0. Let u = 151 - n. Put -5, -4, u in descending order. u, -4, -5 Suppose 14*c + 3*s = 10*c - 83, -100 = 5*c + 3*s. Put c, -3, 4, 1, -4 in ascending order. c, -4, -3, 1, 4 Let k(w) = 2*w**3 - 16*w**2 - 10*w - 45. Let i be k(9). Let q be -54 + 1 + (0 - 0). Let r = i + q. Sort -3, r, 5 in ascending order. r, -3, 5 Suppose 29 = -2*g - 3*t, -787*g - t = -791*g - 23. Put -3, -1, g, 231, -4 in decreasing order. 231, -1, -3, -4, g Let d(l) = -l - 6. Let f be d(-2). Let v(b) = -3*b - 12. Let x be v(f). Let a = 3 + -1. Sort -5, a, x. -5, x, a Let m = 8 - 13. Let v = -249.0015 - -0.1015. Let o = 249 + v. Sort -4, -0.1, m, o. m, -4, -0.1, o Let s = -488 - -331. Let q = 159 + s. Sort 4, -3, q in descending order. 4, q, -3 Let n(b) = -34*b + 442. Let r be n(13). Let c be (-2)/(-4) - 3/(-6). Let q = -11 + 5. Sort q, 4, c, r in decreasing order. 4, c, r, q Let w be (4/8)/((-1)/(-2)). Let l be (-3 + 1)/(w - 6 - -6). Let o(p) = -p**3 + 3*p**2 + p. Let g be o(3). Sort g, 1, l. l, 1, g Let b = -13/525 - -3/25. Let x be (-42)/(-40) + 2/(-8). Put b, x, 1 in descending order. 1, x, b Let a = -5262 + 4975. Sort a, 2, 4, -4 in decreasing order. 4, 2, -4, a Let f = 1274 + -1279. Let n = -233/3 - -77. Put -4, f, n, -0.1 in increasing order. f, -4, n, -0.1 Suppose -10*y + 402 = 9*y + 8895. Sort y, 3, 4 in descending order. 4, 3, y Let u = -1.2766 + 4.2766. Put -1/4, 0.3, 37, u in increasing order. -1/4, 0.3, u, 37 Suppose 34*f = -57 + 159. Sort -4060, -5, f. -4060, -5, f Let v be -4*4/56 - (-117)/42. Let i(h) = -h**2 + 11*h - 10. Let n be i(10). Put 0.2, v, n, -3 in decreasing order. v, 0.2, n, -3 Suppose 3*s - 28*l = -32*l - 7, -5*l - 29 = -3*s. Put -3, s, 1, 17, 4 in descending order. 17, 4, s, 1, -3 Let k(s) = -267*s + 797. Let v be k(3). Put v, -29, 3 in ascending order. -29, v, 3 Suppose 0 = -3*u + 6*u + 3, 2*i + 7 = 3*u. Let o = -4 + 7. Suppose 8*j - 2*j + 5884 = 5908. Put o, -2, i, j in increasing order. i, -2, o, j Suppose -173 + 180 = k. Suppose -3*g - 3*x + 9 = 0, -2*g - k = 4*x - 9. Put g, 2, -4, -12 in increasing order. -12, -4, 2, g Let l be 5 + 1 + (-2)/2. Let q be (0 - (-19 + 13)) + -6. Sort l, q, -4, -10 in ascending order. -10, -4, q, l Suppose 46*v = 36*v + 20. Let t(d) = d - 3. Let a be t(6). Sort 1, 6, v, a. 1, v, a, 6 Suppose 5*t = 5*w - 1332 + 1327, t + 5 = 0. Sort 10, -11, 5, w. -11, w, 5, 10 Let n(x) = -x**2 + x - 7. Let f be n(2). Let m be (15/2)/(-3*1/(-2)). Put f, m, 4, -2 in decreasing order. m, 4, -2, f Let y = -26 - -36. Let z be 0 + y + (-56)/14. Suppose 6*c - 133 = -109. Sort z, c, -1/3. -1/3, c, z Let j = 0.344 - -0.922. Sort -2/7, j, -1, -3. -3, -1, -2/7, j Let m = 215.89 - 216. Let z = -70 - -69.968. Let b = z + 0.032. Put m, -5, b in increasing order. -5, m, b Let h be 6/4 - ((-405)/(-10))/3. Let n = h + -25. Let v = -36 - n. Sort -3/8, v, -3, 0.3 in descending order. v, 0.3, -3/8, -3 Suppose -55*i - 86*i = -5*i - 272. Sort -3, 6, 4, -17, i in decreasing order. 6, 4, i, -3, -17 Let p = 186.32 + -212.32. Sort p, 0, 5, 141 in increasing order. p, 0, 5, 141 Let t = 14295 - 14299. Put 0.11, t, 27, 3/4, 1 in increasing order. t, 0.11, 3/4, 1, 27 Suppose 0 = 181*f - 188 - 174. Suppose 0*n + 96 = -4*n. Let j be (12/n)/(f/20). Sort 0, j, -12 in decreasing order. 0, j, -12 Let p be (-11)/(110/(-10))*(-3)/18. Sort p, -5, 14, 4, 0.1 in ascending order. -5, p, 0.1, 4, 14 Let i = -0.09 - -3.69. Let u = i - 5.6. Let d = -35 + 34. Sort d, -1/4, u, -3/2 in decreasing order. -1/4, d, -3/2, u Let c = 5.93 + -1.2. Let i = c + 0.27. Put 8, -2/7, i in increasing order. -2/7, i, 8 Suppose -2*l + 3*m - 2*m + 22 = 0, -l + 2*m = -14. Let v = -6 + l. Let p be ((-2)/3)/(-7 + (-161)/(-21)). Put v, p, -4 in descending order. v, p, -4 Let f = 20.894 + -20.994. Let t be 3/(-13)*(-2)/3. Sort f, -0.3, -5, t. -5, -0.3, f, t Suppose 3*d + c - 13 = 0, -340*c + 35 = 5*d - 335*c. Let f = 0.035 + -0.535. Sort 1/5, d, -13, f in increasing order. -13, f, 1/5, d Suppose 22*b - 13 = 53. Let w(r) = r - 1. Let n be w(2). Suppose 4*h + 1 - 2 = 3*k, -5*k - 19 = 2*h. Put 8, h, b, n in increasing order. h, n, b, 8 Let h(l) = -2*l**3 + 7*l**2 - l - 1. Let s be h(3). Suppose -28 + 53 = s*p. Let x(o) = 3*o**2 - 2*o - 4. Let v be x(3). Sort 4, p, v in decreasing order. v, p, 4 Suppose 14*q + 36 = 8*q. Let o be (-16)/(-24) + 8/q. Let b = 2/201 - 428/2613. Put 16, b, o in decreasing order. 16, b, o Let w = 18157 + -10621852/585. Sort w, 2, -3/7 in decreasing order. 2, w, -3/7 Suppose -2*p - 2*h = -12, -5*p - h + 34 = -0*p. Suppose 3 = -p*k + 17. Sort 1/5, 1.1, 2/9, k. 1/5, 2/9, 1.1, k Let n(z) = -z**3 + 20*z**2 - 80*z + 261. Let y be n(16). Sort -4, 178, -14, y. -14, -4, y, 178 Let l be ((6/120)/((-126)/(-45)))/(171/(-4)). Put 2/7, 0.4, l in ascending order. l, 2/7, 0.4 Let b = 6.83 - 6.54. Let w = 0.0311 + 0.3689. Sort w, -0.1, -2/3, b. -2/3, -0.1, b, w Let c be 1365/42*(-4)/(-5) + 3. Let h = c - 26. Sort -2/3, -0.3, h, 4/3. -2/3, -0.3, 4/3, h Suppose 0 = -13*x + 66 - 1. Put 0, -21, x, 7 in descending order. 7, x, 0, -21 Let c be -3 + 4 + -2 + -1. Suppose -2758*v + 63 = -2765*v. Sort -4, c, v in decreasing order. c, -4, v Let f = 74 + -77. Let b be (-6 + 7)*-19 - (f - -1). Sort -4, -2, b in descending order. -2, -4, b Let q(b) = -b**2 - 94*b + 927. Let g be q(9). Put -58, -4, g in decreasing order. g, -4, -58 Let a = -882.6 + 882.1. Put 0.2, -3, -3/4, -0.06, a in decreasing order. 0.2, -0.06, a, -3/4, -3 Let r = 1.7645 + 0.2355. Sort 0.4, -4/3, 83, -0.4, r. -4/3, -0.4, 0.4, r, 83 Let s(a) = 2*a**2 + 380*a - 2763. Let y be s(7). Put 2, -32, y, 0, 8 in increasing order. -32, y, 0, 2, 8 Let j(w) = 2*w**3 + 94*w**2 + 1022*w + 57. Let i be j(-30). Sort i, -0.2, 106 in increasing order. i, -0.2, 106 Let i = -497 - -497. Sort 3/7, 0.1, 5, 324, i in ascending order. i, 0.1, 3/7, 5, 324 Let m = 655.8 - 578. Let i = -0.126 - -78.126. Let j = m - i. Sort j, -3, -0.5 in descending order. j, -0.5, -3 Let i = -483.59 + 483.49. Put i, 0.1, -21, 33/8 in descending order. 33/8, 0.1, i, -21 Let x = 19/5 + -53/10. Let v(c) = -c**3 - c**2 + 45*c + 12. Let h be v(-8). Let g be 50/h + 1/(-10). Sort -0.4, g, x, -1 in descending order. g, -0.4, -1, x Let d be ((-595)/70 - -9)*(-1 + 95). Sort d, -3, 2. -3, 2, d Suppose d + 4 = -4
{ "pile_set_name": "DM Mathematics" }
rt(726)) - (sqrt(45)/(1*sqrt(9)) + (2*sqrt(5))**2 + 2). -22 - 10*sqrt(5)/11 Simplify ((sqrt(175) + sqrt(175) + (sqrt(175) - sqrt(175)*1) + sqrt(175) + sqrt(175))/sqrt(7)*1)/(sqrt(30)/(sqrt(6) - (sqrt(6) - (sqrt(144)/sqrt(4))/sqrt(6)))). 4*sqrt(5) Simplify -2*((sqrt(432) - (3 + (-2 + sqrt(432) - sqrt(432))))**2 - ((sqrt(3) - (1 + sqrt(192))**2) + 1)). -1250 + 18*sqrt(3) Simplify -2*(-1*sqrt(1573) + 0)**2 - -3*(0 + ((sqrt(13) - sqrt(13)*2)*-2 + sqrt(13))**2 + sqrt(13)). -2795 + 3*sqrt(13) Simplify (-5*sqrt(18)*1 + (sqrt(18) - sqrt(18)*-1*-3))/((sqrt(27) + -2*(sqrt(27) - sqrt(81)/sqrt(3)))/sqrt(3)). -7*sqrt(2) Simplify ((0 + -2 + sqrt(500))**2 - sqrt(500))*-1*-4. -200*sqrt(5) + 2016 Simplify (-2*sqrt(1216) + sqrt(19) + sqrt(95)/(-1*sqrt(5)) - (sqrt(95) - sqrt(95)*-1)/sqrt(5)*-6)**2. 304 Simplify (sqrt(80)/(3*sqrt(1152) - sqrt(8)))/((3*2*sqrt(14) - sqrt(14))/sqrt(7)). sqrt(5)/175 Simplify 4*(sqrt(153)/(sqrt(36)/sqrt(4)*-4) - ((4*sqrt(51)/sqrt(3))**2 + 3)). -1100 - sqrt(17) Simplify (6*1*-1*sqrt(7)*3*5)**2. 56700 Simplify ((-4 + (sqrt(1377) - -1*(sqrt(1377) + 0 + sqrt(1377))) + -3)*5)**2. -9450*sqrt(17) + 311050 Simplify 6*(-4*sqrt(1377)*6)**2*-3 + 1. -14276735 Simplify (1*1*sqrt(187)*-3)/(sqrt(132)/(sqrt(12) - sqrt(144)/sqrt(192))). -9*sqrt(17)/4 Simplify ((-1*2*-1*sqrt(153))/(sqrt(144)/(sqrt(20)/sqrt(5))))**2. 17 Simplify 0 + -1 + sqrt(2187)*2*-5. -270*sqrt(3) - 1 Simplify (((-4*sqrt(12) - sqrt(30)/sqrt(10)*4) + -1)*1)**2. 24*sqrt(3) + 433 Simplify (sqrt(88) + (sqrt(88)*-2 - sqrt(88)))/sqrt(8) - (3 + -2*sqrt(11))**2 - (sqrt(44)/((sqrt(44) - sqrt(44)*-2)/sqrt(11)) + -5). -48 + 29*sqrt(11)/3 Simplify -5 + (sqrt(175)*2)**2 + (sqrt(49) + sqrt(49)*-1 - sqrt(49))/sqrt(7) + 3. -sqrt(7) + 698 Simplify (0 + ((sqrt(80) + 2)*4 - ((sqrt(5) - sqrt(80))*3 - sqrt(5) - sqrt(60)/(-2*sqrt(12)))))**2. 408*sqrt(5) + 13261/4 Simplify 1*((3*3*sqrt(500) - sqrt(500)) + 5)*-5. -400*sqrt(5) - 25 Simplify (-5 + 1 + (sqrt(7) - (sqrt(7) + sqrt(35)/sqrt(5)))**2*1 + 5)*-5*3. -120 Simplify -4 + (-6*(-1 + sqrt(76)))**2 + -6*(sqrt(76) - -4*sqrt(76))**2 + -1. -8633 - 144*sqrt(19) Simplify (-2*(sqrt(204) - -6*(sqrt(204) - (sqrt(204) + -2*sqrt(204) + sqrt(204) + sqrt(204)))))/(1*sqrt(1452) - (sqrt(144) + -1*sqrt(144))/sqrt(12)). -2*sqrt(17)/11 Simplify (sqrt(51)/(sqrt(3) - sqrt(3)*-1) - (sqrt(612) + 0)) + (2*(-2 + -1 + sqrt(17)))**2. -59*sqrt(17)/2 + 104 Simplify (1 + sqrt(567) + (sqrt(567)*-4 - sqrt(567)))**2 - (sqrt(448) + (2 + sqrt(448))**2*-3 - sqrt(448)). 24*sqrt(7) + 10429 Simplify sqrt(156)/(sqrt(300)*6 + sqrt(300)) - (2 + sqrt(39)/sqrt(3) + 5)**2. -62 - 489*sqrt(13)/35 Simplify ((-3 + sqrt(180))*-4 + ((sqrt(165)/sqrt(3) + sqrt(55) + sqrt(55))/sqrt(11) - (sqrt(5) + sqrt(5) + 2 + sqrt(500) + sqrt(500))))**2. -860*sqrt(5) + 9345 Simplify (sqrt(44)/sqrt(4)*6 + -2)**2 + (sqrt(275)*-1)**2 + 4*sqrt(11)*1. -20*sqrt(11) + 675 Simplify (sqrt(57)/sqrt(108) + 4 - (sqrt(684) + 2 + -2))**2. -140*sqrt(19)/3 + 23851/36 Simplify ((3*5*sqrt(190))/(sqrt(40)*4))**2. 4275/64 Simplify ((-1 + sqrt(2057) + -2)*3 + (sqrt(2057) - sqrt(2057)*-1)*-2 + 3)**2. 132*sqrt(17) + 2093 Simplify -3*((2 + sqrt(1216))**2 + sqrt(1216) - -4*sqrt(304) - (-1*(2 + sqrt(19)))**2*-6). -4074 - 240*sqrt(19) Simplify (4*sqrt(14)/(sqrt(700)*-1)*-4*-2)**2. 512/25 Simplify ((sqrt(8) + 2*sqrt(200))*-2)/((sqrt(4) - sqrt(108)/sqrt(3)) + sqrt(4) + (sqrt(16) - sqrt(32)/sqrt(2))). 22*sqrt(2) Simplify (0 + sqrt(12) + sqrt(18)/(sqrt(294) - sqrt(6)))*5. 65*sqrt(3)/6 Simplify ((sqrt(160)*-1 - 2*sqrt(4840))/(-2*(sqrt(8) - sqrt(8)*2)*-6) + -1)**2. -4*sqrt(5) + 21 Simplify (1*-3*(sqrt(114) + (sqrt(114) - (sqrt(114) - 1*sqrt(114)))))/(5*1*sqrt(486)). -2*sqrt(19)/15 Simplify (sqrt(2178)*5)/(-3*sqrt(6)*4). -55*sqrt(3)/12 Simplify (-5*(4 + -6*6*sqrt(99)*2*-3))**2. 129600*sqrt(11) + 115474000 Simplify (2*-1*(sqrt(49) - (sqrt(49) + sqrt(1225))))/(-6*sqrt(112)*2). -5*sqrt(7)/24 Simplify 2 + (5*(sqrt(209) - 5*(sqrt(209) + sqrt(209)*-2)))/(sqrt(275) - (1*sqrt(275)*-1 + sqrt(275))). 2 + 6*sqrt(19) Simplify (1 + sqrt(1573) + 0)**2 + sqrt(1573) + sqrt(1573)*-3 + 3. 1577 Simplify -4*(3*(3 + sqrt(17)*1 + sqrt(17)) - (sqrt(1377) + -1 - -1*sqrt(425)))**2. -4752 + 640*sqrt(17) Simplify (((5 + (sqrt(171) - (0 + sqrt(171))))*1)**2 + 4)*1. 29 Simplify sqrt(171) + 3 + 5 + sqrt(171) + 6*(-1 + sqrt(1539))**2. -102*sqrt(19) + 9248 Simplify (2 + (sqrt(76) - (sqrt(76) + 1 + 0)) - ((sqrt(76) + -1*sqrt(76))*-4 - (sqrt(76)*-2 + -3)))**2. 16*sqrt(19) + 308 Simplify 0 + (3 + 4*sqrt(11)*-2 + (3*sqrt(891) - sqrt(891))*2)**2. 168*sqrt(11) + 8633 Simplify 2 + (sqrt(19) + 0)**2*3 + (-1*sqrt(931))**2. 990 Simplify (5*-2*sqrt(152) - ((sqrt(152)*-2 + sqrt(152))*6 + sqrt(152)))/(-6*(sqrt(64) - (sqrt(64) + sqrt(64)*1 + sqrt(64)) - sqrt(64))/sqrt(8)). -5*sqrt(19)/18 Simplify (-3 + sqrt(7) + sqrt(28)/(sqrt(4) - -2*sqrt(4)) + -3 + sqrt(28)/sqrt(4) + (sqrt(7) - (sqrt(21)/sqrt(3) + 1)) + 0)**2. -98*sqrt(7)/3 + 784/9 Simplify -3*((sqrt(88) - ((sqrt(88)*2 + sqrt(88))*3 - sqrt(88) - sqrt(88)))/sqrt(8) + -1 + sqrt(396) + 5). -12 Simplify (sqrt(2299) + sqrt(2299)*3 + 4)*3*2. 24 + 264*sqrt(19) Simplify ((5 + 3 + sqrt(2299) - (-3 + sqrt(2299)*-3 + sqrt(2299)))*-3)**2. 6534*sqrt(19) + 187308 Simplify 1 + ((sqrt(176) - sqrt(176)*-1)**2 + -3 - (-5 + 2*sqrt(176))). -8*sqrt(11) + 707 Simplify (-5 + (1*sqrt(5) + -2 - sqrt(5) - (sqrt(405) + -2*sqrt(405)))*1)**2 + 5. -126*sqrt(5) + 459 Simplify ((sqrt(70) + sqrt(70) + (sqrt(70) - 1*-4*sqrt(70)) + sqrt(70))/(sqrt(10) + -2*-1*sqrt(10))*-1*-1)**2. 448/9 Simplify 2 + (sqrt(190)/(sqrt(10)*1))**2 - (0 + -3 + (sqrt(19) - (-3 + sqrt(19))**2)). -7*sqrt(19) + 52 Simplify 1*(-6*sqrt(175)*-3)**2 + 2 + -1 + sqrt(175) + sqrt(175) + 5. 10*sqrt(7) + 56706 Simplify (3 + 5*(sqrt(720) + -1) + 1)*3. -3 + 180*sqrt(5) Simplify (-1 + -3*((sqrt(363) + -1)*5 - 3*sqrt(363)*-2))**2. -10164*sqrt(3) + 395503 Simplify -3*(((sqrt(360)/sqrt(9))/sqrt(5))/sqrt(4) + (sqrt(288) + sqrt(288)*4 + -1)**2). -21603 + 357*sqrt(2) Simplify (-4 + sqrt(50) + -1)**2 + ((sqrt(54)*1)/sqrt(3))/sqrt(9). -49*sqrt(2) + 75 Simplify (sqrt(136) + 1*sqrt(136)*2 + sqrt(136))/(sqrt(8) + sqrt(128)*1) - (((sqrt(17) + -2*sqrt(17))*4)**2 - (sqrt(187)*-1)/sqrt(11)). -272 - sqrt(17)/5 Simplify ((-5 + sqrt(17) + -2)*3)**2 + (2 + sqrt(2057) + 4)**2. 6*sqrt(17) + 2687 Simplify ((sqrt(153) + sqrt(153) + -2)*-4 + 6*(-3*sqrt(17) + sqrt(17) + sqrt(17))*3)**2. -672*sqrt(17) + 30052 Simplify (((1*sqrt(192) - sqrt(192))*6 - sqrt(192)) + -3 + 5*(4*sqrt(3)*-1 - sqrt(3) - sqrt(108)))**2. 378*sqrt(3) + 11916 Simplify 2 + ((sqrt(252) + -4 + (sqrt(252) + 1 - sqrt(252) - sqrt(252)) - (sqrt(252) + 0)*-3) + 3)**2 + 3. 2273 Simplify ((sqrt(320)/sqrt(8))/sqrt(4))/(sqrt(30)/sqrt(24)). 2*sqrt(2) Simplify (sqrt(294) + -1*-2*sqrt(294))/(sqrt(24)/(sqrt(24)/sqrt(3) + sqrt(8)) + -2*sqrt(48)). -14*sqrt(2)/5 Simplify (3 + sqrt(68) - ((sqrt(425) - sqrt(17)) + 2))*-2*5. -10 + 20*sqrt(17) Simplify 3 + 1 + 5*-6*((sqrt(17) - sqrt(68)/sqrt(4)) + -3 - sqrt(17)). 94 + 30*sqrt(17) Simplify ((-5*sqrt(17)*-1 - (3*sqrt(68))/sqrt(4)) + (-4*(sqrt(612) + 0) - (sqrt(612) + 0 + -5)))**2. -280*sqrt(17) + 13353 Simplify (-4*sqrt(459))/(6*sqrt(6)/sqrt(2) + sqrt(3)) + -4. -12*sqrt(17)/7 - 4 Simplify -4*((sqrt(200)/sqrt(8) + sqrt(25) - sqrt(25))/sqrt(5) - sqrt(5) - (0 + (sqrt(45))**2)). 180 Simplify (-5*(sqrt(1377) - (sqrt(1377) - -3*sqrt(1377))))**2 + sqrt(68)/(sqrt(144)*1). sqrt(17)/6 + 309825 Simplify ((sqrt(76)*-4 - sqrt(76))*-4)/(sqrt(576)*4 - sqrt(576)). 5*sqrt(19)/9 Simplify (4*((1 + sqrt(1900))*2 + sqrt(1900) + (sqrt(1900) - (-3 + 2 + sqrt(1900)))))**2 + 4. 2880*sqrt(19) + 273748 Simplify (4*-2*sqrt(1008))**2 + (-1 + sqrt(847) - (sqrt(112) + -1 + sqrt(112) + sqrt(7)))**2. 64540 Simplify (0 + (1 + (3*sqrt(13) - sqrt(13)) - -2*sqrt(52)/sqrt(4))*5)**2. 200*sqrt(13) + 5225 Simplify -5 + (sqrt(11) + 1)*-3 + (2*sqrt(11)*-2 - (-1*sqrt(77))/sqrt(7)). -6*sqrt(11) - 8 Simplify (-5*((sqrt(1539)*-1*-4 - sqrt(1539)) + (-1 + sqrt(1539) - sqrt(1539)) + 1 + sqrt(1539))*-3)**2. 5540400 Simplify (-1 + 4 + sqrt(110)/(sqrt(10)*1))**2 + 4 + 3. 6*sqrt(11) + 27 Simplify (6*(sqrt(42) + (sqrt(462)*-4)/sqrt(11)))/(-2*-1*sqrt(726)). -9*sqrt(7)/11 Simplify 4*((-1 + 1*sqrt(612) - sqrt(612)) + sqrt(612) + (sqrt(612) - (-1 + sqrt(612)*-4)))**2. 88128 Simplify (((4*-3*sqrt(102) - s
{ "pile_set_name": "DM Mathematics" }
174, 4*m - 2*m = -4. Suppose -t = -2*y - 0*y. What is the units digit of y? 8 Suppose 447*i - 14950 = 442*i. What is the thousands digit of i? 2 Let v(s) = -152*s + 183. What is the tens digit of v(-5)? 4 Let p(c) = -c**2 - 3*c + 18. Let q be p(-6). Suppose 2*l + 224 = 7*l + g, q = 4*l + 5*g - 175. What is the tens digit of l? 4 Let p(m) = -14*m - 67. Let h be (-5 - (-25)/5) + -9. What is the units digit of p(h)? 9 Suppose -4*j = 3*p + 1 - 15, 3*j + 5*p - 16 = 0. Suppose j*c - 28 = -0*c. Suppose -c = -4*q - 2. What is the units digit of q? 3 Let m(v) = 2*v**3 - 3*v**3 + 0*v**3 + 67 - 68 - 6*v**2 + 5*v. What is the tens digit of m(-8)? 8 Suppose 0 = 15*x - 4223 + 1298. Suppose -18*q + x = -15*q. What is the units digit of q? 5 Suppose 2*t + 108 = -j, 3*t - 5*j + 129 = -46. Let z = 172 - t. What is the tens digit of z? 2 Let m(i) = 3*i**2 + 13*i + 5 - 2*i**2 - 18*i + 6. What is the units digit of m(12)? 5 Let v(c) = -c**2 - 18*c - 8. Let k be v(-17). What is the tens digit of k - -6 - (-3)/1? 1 Let n(g) = -g**2 - 23*g - 18. Let i be n(-22). Suppose i*m - 9*m + 435 = 0. What is the units digit of m? 7 Suppose -147 = 8*x - x. Let s = 76 + x. What is the units digit of s? 5 Let z = -50 + 59. Suppose 0 = -z*v + 202 + 284. What is the units digit of v? 4 Let j = 7 + -4. Let m be -3 + 1/(j/9). Suppose b - a - 29 = m, 0 = -2*b + a - 3*a + 42. What is the units digit of b? 5 Let w be (6/(-8))/((-18)/64)*75. Let u = w - 102. What is the units digit of u? 8 Let y(r) = -10*r + 339. What is the tens digit of y(16)? 7 What is the thousands digit of 1 - (-23860)/(-30)*-3? 2 Let h = -5 - -5. Suppose h = -b - b + 4. Suppose 2*v + b*t = 34, -6*t - 47 = -4*v - 3*t. What is the units digit of v? 4 Suppose 0 = -0*b - 9*b + 4806. What is the tens digit of b? 3 Suppose 5*r + 4*k = 15, 3 + 0 = r + 2*k. Suppose r*f = 5*l + 25 + 37, 2*l + 3*f = -8. What is the tens digit of (-6)/l - 227/(-5)? 4 Suppose -2*k + 0 - 8 = -2*y, 0 = -2*y + 4*k + 8. What is the tens digit of 270/8 - (-1)/y? 3 Let i = 140 + -131. Let h(l) = -l**3 + 15*l**2 - 4*l. Let w(r) = r**3 - 16*r**2 + 5*r. Let m(v) = 7*h(v) + 6*w(v). What is the units digit of m(i)? 8 Let x(o) = o**3 - 5*o**2 - 6*o + 3. Let v be -21*(0 + (-2)/6). Let s be x(v). Let w = s + -29. What is the units digit of w? 0 Let z be 6/(-2) + (-3 - -6). Let u(g) = -g**2 + 92. What is the units digit of u(z)? 2 Suppose 18 = -5*s + 8*s. Suppose -2*w - 314 = -3*h, s*w - 329 = -3*h + 5*w. What is the units digit of h? 8 Let u = -315 + 319. Let j(g) = -g + 4. Let n(d) = 8*d - 28. Let k(f) = 40*j(f) + 6*n(f). What is the tens digit of k(u)? 2 Suppose 19*z - 5059 = 2769. What is the units digit of z? 2 Let l be 6 + 2 + (-3)/1. Suppose l*v = 2*c + 1025, c - 410 = -2*v + 4*c. Suppose -7*b + v = -2*b. What is the units digit of b? 1 Let o be 384/36*6/4. Suppose -o - 50 = -3*i. Suppose 2*r - f + 3*f = i, 5*r - 4*f = 91. What is the tens digit of r? 1 Let d(o) = 37*o**2 - 3*o - 34. What is the hundreds digit of d(-6)? 3 Let p(u) be the second derivative of 3*u**4/4 - 2*u**3/3 - 5*u**2/2 - 7*u. What is the units digit of p(-2)? 9 Suppose p - 8 = -99. Let m(c) = -c**3 + 6*c**2 - 6*c - 5. Let f be m(6). Let g = f - p. What is the units digit of g? 0 Let f(k) = 470*k**2 - 21*k + 2. What is the hundreds digit of f(-2)? 9 Let u be 2 + 1 + 7/7. Suppose -3*d + 81 = -u*d. Let g = -57 - d. What is the tens digit of g? 2 Let w(n) = 8*n**2 + 1 - 2 - 4*n - 2. Suppose -a = 2*a + 6. What is the units digit of w(a)? 7 Suppose 10 = 2*q, -401 + 2098 = 3*z - 2*q. What is the tens digit of z? 6 Let r(z) = -z + 2. Let y(w) = 17*w + 13. Let u(i) = -6*r(i) + y(i). What is the units digit of u(3)? 0 Suppose 4*h = -2*j - 2*j + 16, -4*j - 2*h + 14 = 0. Let b be (236 - -1) + 0/2. Suppose -3*x - j*d = -198, -5 + b = 4*x - 4*d. What is the units digit of x? 2 Let r(m) = -14*m - 81. What is the units digit of r(-14)? 5 Let g(x) = -x + 12. Let i be g(8). Suppose i*v = 5*v - 42. What is the units digit of v? 2 Let y = -11 - -7. Let t = y - -5. What is the units digit of t? 1 Suppose -b - 26 = 4. What is the hundreds digit of (-712)/20*(b/(-2))/(-3)? 1 Let w = 6 - 4. Let k(p) = 4 - w - 3*p + 4*p. What is the units digit of k(2)? 4 Suppose 2*y - 870 = 5*z, -5*y - 4*z + 2175 = -2*z. What is the hundreds digit of y? 4 Suppose 2*m + 2236 = 2*a, 5*m = 2*a - 5*a + 3330. What is the units digit of a? 5 Let r = 84 - 80. Suppose 0*y = r*g - y - 320, 4*g + 3*y = 336. What is the units digit of g? 1 Let t = 865 + 667. What is the tens digit of t? 3 Suppose -2*j = 206 - 200. Let k(u) = -5*u**3 - u**2 - 8*u - 6. Let l(i) = 4*i**3 + i**2 + 7*i + 5. Let f(z) = 5*k(z) + 6*l(z). What is the tens digit of f(j)? 3 Suppose 0 = 10*x + 3*x - 91. Suppose -12*l = -x*l - 1065. What is the hundreds digit of l? 2 Let v = 162 - -270. What is the hundreds digit of v? 4 Let c = -215 - -289. What is the tens digit of c? 7 Let t be 0/(9/((-36)/(-8))). Suppose -5*b + b + 88 = t. What is the units digit of b? 2 Let y = -141 - -244. What is the hundreds digit of y? 1 Let d(s) = 2*s + 33. Let l be d(0). Suppose -7*a = -10*a + l. What is the tens digit of a? 1 Suppose 8*f - 74 = 3*f - 3*q, 0 = 5*q - 15. Let y be 1 - -1*191*3. What is the units digit of (-26)/169 + y/f? 4 Suppose -z = -5*y + 17, 4*y = 2*z + 2*z + 4. Suppose -4*p = y*p - 560. What is the tens digit of p? 7 Let a = 162 - -23. What is the tens digit of a? 8 Suppose -20290 = -20*d + 10*d. What is the tens digit of d? 2 Suppose u + 4*g = -8, -4*u + 4*g + 9 = -19. Let o = -20 - u. Let v = o - -34. What is the tens digit of v? 1 Let p(z) = z**2 - 7*z + 2. Let b be p(8). Let r = b - -15. Let t = 43 - r. What is the units digit of t? 8 Suppose -q = -4*o - 88, o = -q - 21 + 4. Let t = -7 - o. What is the tens digit of (-710)/(-35) + (-4)/t? 2 Suppose 3*g - 7*w - 25 = -3*w, -5*g + 45 = -5*w. Let q = g - 17. What is the tens digit of (52/q)/((-8)/12)? 1 Let w(q) = 11*q**2 + 15*q. Let p be w(7). Let m = -389 + p. What is the tens digit of m? 5 Let n(m) = m**3 + 4*m**2 + 427. What is the units digit of n(0)? 7 Let m be (-2)/(7/(231/(-2))). Let a = m - 19. Let r = a + -8. What is the units digit of r? 6 What is the hundreds digit of 3510/4*174/145? 0 Let p(u) = -2*u - 2. Let h be p(-1). Suppose h = 7*o - 3*o - 3*l - 20, 5*o + 5*l = -10. What is the units digit of o? 2 Let r(u) = -9*u - 56. Let j be r(-5). Let a(y) = 11*y**2 - 3*y + 3*y**3 - 5*y**3 + 3*y**3 + 6. What is the tens digit of a(j)? 3 Let i(d) = -d**3 - 1. Let w(g) = -4*g**2 + 10 - 7*g**2 - 5*g - 4*g + 7*g**3 + 16*g**2. Let h(n) = -6*i(n) - w(n). What is the units digit of h(-7)? 1 Suppose 0 = 3*d - i + 104, 4*d + 0*d + 152 = 4*i. What is the units digit of 1/3 - 1672/d? 1 Suppose -2536 = -11*q + 2117. What is the units digit of q? 3 Suppose -2*w = -549 - 315. What is the tens digit of w? 3 Suppose -7 = -5*i + 4*l, -5*i - 4*l - l + 25 = 0. Suppose -z = i*f - 93, -4*z = -3*f - 154 - 233. What is the units digit of z? 6 What is the hundreds digit of (-1216 - 22)*(-3)/2? 8 Let g(f) = -f**2 + 23*f + 38. Let r be g(14). Let k = r - 113. What is the tens digit of k? 5 Let i(z) = 10*z**3 - 7*z**2 - 15*z. What is the units digit of i(5)? 0 Let z = 1631 - 429. What is the tens digit of z? 0 Let a = -1202 - -1337. What is the hundreds digit of a? 1 Let l = -8 + 19. Let m = l + 134. What is the hundreds digit of m? 1 Let q(a) = -a**3 + 5*a**2 + 2*a + 4. Let x be q(3). Let g be (x/3)/((-8)/(-12)). Let h = 44 - g. What is the units digit of h? 0 What is the units digit of (-238365)/(-95) - 2/19? 9 Let i(k) = -9*k**3 - 3*k**2 - 2*k - 3. Let n(m) = -m + 2*m**2 - 3*m**2 + 29 - 30 - m**3. Let s(a) = -i(a) + 3*n(a). What is the units digit of s(1)? 5 Let g = -95 + 226. Suppose 0 = -4*q - 2*f + 466, -2*q + 5*f + 84 = -g. What is the tens digit of q? 1 Let g(s) = -s - 16. Let i be g(-21). Suppose -3*v - 4*n + 9*n = -164, v = -i*n + 88. Let c = v - 4. What is the tens digit of c? 5 Suppose 0 = -5*y + a - 4, 0 = -4*a - 4. What is the hundreds digit of (-2 - y/(-1)) + 151? 1 Let i = 566 - 84. What is the units digit of i? 2 What is the units digit of ((-3)/24*-402)/((-3)/(-8))? 4 Suppose 5*g + 0*g = 15. Suppose -4*s = 3*r - 2, 17 - 3 = 4*s - g*r. What is the units digit of s*(-4)/8 - -13? 2 Let c = 5 + 0. Suppose 9 = c*y - m
{ "pile_set_name": "DM Mathematics" }
1/29) assuming s is positive. s**(969/58) Simplify (i*i*i**38)/((i*i**22*i)/i)*i**(18/11)*i**(-11/3) assuming i is positive. i**(494/33) Simplify ((c*c**(-1))**(4/11)/(c/(c/((c**(-2/5)*c)/c))*c*c**4))**(-41) assuming c is positive. c**(943/5) Simplify (d*d**5)**(-39)*(d*d/d**28)/((d*d**(2/17)*d)/d*d) assuming d is positive. d**(-4456/17) Simplify (r**(-17))**(4/19)/(r/(r**(3/14)*r*r)*r*r*(r*r/r**26)/r) assuming r is positive. r**(5489/266) Simplify (((c/(c/(c*c**(-23))))/c)**(-3/8))**(-2/27) assuming c is positive. c**(-23/36) Simplify (((k/(k**(-4/5)*k))/k)**(-10))**(4/3) assuming k is positive. k**(8/3) Simplify s*s**1*s/s**(-1/2)*s*s**(-2/15)*s*s/(s/((s*s*s/(s/(s**(-1/2)/s)))/s*s))*s*s assuming s is positive. s**(118/15) Simplify (g**(1/10)/g**13)/(g/(g/(g/(g*g/(g*g**6)*g*g))))**(-3/5) assuming g is positive. g**(-21/2) Simplify (o**(-19))**(-45)/((o*o**(-5/13))/o*o/o**(2/5)) assuming o is positive. o**(55561/65) Simplify (w/((w/w**(-13))/w)*w*w**(-1))/((w/(w**(3/10)/w))/(w/(w**(-8)/w))) assuming w is positive. w**(-37/10) Simplify ((((v*(v**0*v)/v)/v*v)**(-4/19))**(-31))**(-6) assuming v is positive. v**(-744/19) Simplify g**(-8)*g**(-10)*((g/(g/(g*(((g/(g*g/(g*g**7*g*g*g)*g))/g*g*g)/g*g)/g)))/g)/g*g**1 assuming g is positive. g**(-9) Simplify (a**(4/11)/(a/a**(6/11))*(a**1)**7)**(-2/25) assuming a is positive. a**(-152/275) Simplify (k*k**(-7)*k**(-2)/k)/(k/(k**(-2)/k)*k*k**(-11/5)) assuming k is positive. k**(-59/5) Simplify (f**(5/8)*f**(1/4))/(f/f**(-2/7))**(2/7) assuming f is positive. f**(199/392) Simplify (t*t/(t*t**(2/51))*t)/t*(t*(t**(10/9)/t)/t*t*t)/t*t**4*t/t**(-5)*t assuming t is positive. t**(2000/153) Simplify (((c**(-1/2)/c)/c)**19/(((c*c**(2/3))/c)/(c**2/c)))**(5/3) assuming c is positive. c**(-1415/18) Simplify b**(2/5)/(b**(-21)*b)*(b/(b*b/b**15))/(b*(b**(-18)*b)/b) assuming b is positive. b**(257/5) Simplify (w/((w/w**(8/5))/w))**(1/63)*w**(19/3)/(w/(w*((w**(-20)/w)/w*w)/w*w)*w*w) assuming w is positive. w**(-5237/315) Simplify ((z*z**7*z)**(1/3))**(18/5) assuming z is positive. z**(54/5) Simplify (((k/((k*k*k*k**(1/3))/k))/k)/(k/((k/((k**(10/11)/k*k)/k))/k*k)*k))/(k/(((k**(-1)/k)/k)/k))**(8/17) assuming k is positive. k**(-3139/561) Simplify ((j/(j**(-11)/j)*j)/((j*j**(2/9)*j*j)/j))/(j*j/(j/(j*j*j*(j**(1/8)*j)/j))*j*j)**40 assuming j is positive. j**(-2099/9) Simplify ((x**(-3/7))**(-37))**(-1/12) assuming x is positive. x**(-37/28) Simplify ((w**(-2/7)/w)/(w**(-14)*w))/(w*w**4*(w**(-4/7)*w)/w) assuming w is positive. w**(51/7) Simplify ((((n/(n*n**12))/n)/n)/(n*n**(2/7)/n*n)*(n/n**(-1)*n)/(n*n**(4/9)))**(2/47) assuming n is positive. n**(-1730/2961) Simplify (c**(-1))**(-34)*((c*c**7)/c)/c**(-4/5) assuming c is positive. c**(209/5) Simplify (s**15/s)/s**22*s**(-13/6)/s*s**(3/10)/s assuming s is positive. s**(-178/15) Simplify (q**28*q*q**(-5/8)/q*q*q)/(q**(-1/13)*q**(-19)) assuming q is positive. q**(5039/104) Simplify ((a*a**(-3)*a)**(1/4)/(a**5/a*a/(a*a**(-4/3)/a)))**(-2/9) assuming a is positive. a**(79/54) Simplify u**(-13/3)/u*u*u*(u**(-4)*u)/u*u**(-12)/u**24 assuming u is positive. u**(-130/3) Simplify (l**(-16)/l*l*l**(-1/8))/(l**1)**5 assuming l is positive. l**(-169/8) Simplify (a**(-20)*a**(-4/7))/(a**(2/3)/a*a**(9/5)) assuming a is positive. a**(-2314/105) Simplify (l**26/l**(-2/87))**19 assuming l is positive. l**(43016/87) Simplify (i*i**15)**2*i**(-29/4)/i*i**(-2/119) assuming i is positive. i**(11297/476) Simplify ((t/(t*t**(8/3)))/((t*t*(t*t*t**(2/15)*t*t)/t)/t))/(t**(-3))**(-6/23) assuming t is positive. t**(-872/115) Simplify (f**(4/3))**22/(f**(2/19)*f**(-13)) assuming f is positive. f**(2407/57) Simplify ((n**(1/2))**(-2/121))**(1/8) assuming n is positive. n**(-1/968) Simplify (r**(1/2)*r**(2/5))/(((r*r**8)/r*r*r)/r)**47 assuming r is positive. r**(-4221/10) Simplify (m**(-2/3))**(4/9)*(m**(4/5)*m)**(-33) assuming m is positive. m**(-8059/135) Simplify (z**(-10)/z*z*z**(-2/17)/z)/(z**(-3/4))**(-23) assuming z is positive. z**(-1929/68) Simplify (h**(-2/11)/(h/h**3)*((h**(-6/5)*h)/h)/(h**(-2/3)*h))**(-39) assuming h is positive. h**(-611/55) Simplify ((((h/(h*h/(h*h**(-1/2))*h))/h)**(-9))**(-4))**(-6/23) assuming h is positive. h**(540/23) Simplify ((i/(i/i**(1/3)))/i**(-5/3))/(i*(i**6*i)/i)**(-21/8) assuming i is positive. i**(163/8) Simplify (x**(1/24)/(x*x**(-29)))/(x**(-17)/x**(3/11)) assuming x is positive. x**(11963/264) Simplify (((q**(1/9)*q)/q)/q*q*q*(q/(q/(q/(q**1/q*q))*q*q*q)*q)/q*(q**(4/3)/q*q)/(q**(-5)*q))**31 assuming q is positive. q**(961/9) Simplify ((t**(-26))**(3/11))**(25/6) assuming t is positive. t**(-325/11) Simplify ((l*l*l**(-1/6)*l)**49/(l**(-1/2))**(-31))**27 assuming l is positive. l**3330 Simplify ((u/(u**(-6)*u))/u*u**9*(u**2/u)**46)**39 assuming u is positive. u**2340 Simplify (s**(9/7)*s**(-4))/(s*s/(s*s/(s*s*s*s**8/s))*s*s)**47 assuming s is positive. s**(-3967/7) Simplify (h**5/h)**(-8/3)/(((h*h/(h/(h/(h*h**(-5/2)*h*h))))/h*h)/(h*h/((h*h**4*h)/h))) assuming h is positive. h**(-91/6) Simplify v**(-11)/(v/v**0)*(v*v/(v/v**(-3)*v*v)*v*v)/(v/v**9) assuming v is positive. v**(-6) Simplify ((q*q*q**(-3/2)/q)/(q*q**2)*(q**(-1)/q*q*q)**(20/7))**(-47) assuming q is positive. q**(329/2) Simplify (k/k**(2/45))/(k*k/k**(5/3)*k)*(k*k*k**38/k)/(k/k**(-32)) assuming k is positive. k**(253/45) Simplify b*b*b*b**(6/13)*b*b**(2/9)*b**(-4)*b*(b*b**(-16))/b assuming b is positive. b**(-1675/117) Simplify ((n**2*n*n)/n*n)**(8/7)/((n/n**(-3/8))/n**(-7)) assuming n is positive. n**(-213/56) Simplify (p**(1/3)/(p*p**(-6/7)*p*p)*(p/p**0)**(2/25))**(8/13) assuming p is positive. p**(-7264/6825) Simplify (x*x**(-3/4)/x)/x*x**14*x**(-12/7)/(x*x**8) assuming x is positive. x**(43/28) Simplify (w**0)**(2/23)/((w*w**(2/11)/w)/((w**(6/11)*w)/w)) assuming w is positive. w**(4/11) Simplify o**(-7)/o**(1/18)*(o**4)**(2/31) assuming o is positive. o**(-3793/558) Simplify (((x**(-1/4))**(3/32))**(2/7))**(-18) assuming x is positive. x**(27/224) Simplify ((a/((a*a**(-6)*a)/a)*a*a)/(a*a/(a*(a/(a*a**5)*a)/a*a)*a))/(a*a/a**(2/3))**(3/25) assuming a is positive. a**(46/25) Simplify ((n*n*n**0*n*n*n)/(n*n*n*n**(-6/7)*n))/(n**(2/15)/n**(-10)) assuming n is positive. n**(-869/105) Simplify (k**(1/10)/k)/((k/(k**(10/9)/k))/k)*(k/k**(-4))**(-38) assuming k is positive. k**(-17171/90) Simplify (o**(-2/29)/o)/(o*o**13)*(o*(o*o*(o/o**(-8))/o)/o)/(o*o**(-2/5)) assuming o is positive. o**(-822/145) Simplify (l/l**0*l*l/l**(-8))/(l/(l/(l**9*l))*(l*l**(-8)*l*l)/l) assuming l is positive. l**7 Simplify (a**(-1))**(-2/119)*a/a**(-1/15)*a**7 assuming a is positive. a**(14429/1785) Simplify c**(-3/4)/(c**5*c)*(c*(c*c**(1/6))/c*c)**(-38) assuming c is positive. c**(-1069/12) Simplify ((n/(n/n**(-13))*n)/(n**(-1/4)/n))/((n**(1/3)*n)/n)**(-4/7) assuming n is positive. n**(-887/84) Simplify ((c**(-8/7)*c)/((c/c**8)/c)*(((((c*c/c**0)/c)/c)/c)/c)**(-2/13))**21 assuming c is positive. c**(2229/13) Simplify (l/l**24*l**(-24))**16 assuming l is positive. l**(-752) Simplify (g**(-5/2)*g**(-27))**(-3) assuming g is positive. g**(177/2) Simplify (u/(u/(u*u/(u/u**(-1/2)))))**(-16)/(u**(-2)*u)**17 assuming u is positive. u**9 Simplify (y**(5/4)*y*y)**42*(y/(y/(y*y*y/(y**(-20)/y)*y*y)))/(y/y**(-3/4)*y) assuming y is positive. y**(639/4) Simplify ((r/r**(1/3))**30*(r/(r*r/(r*(r*r/r**2)/r)))/r*r**3)**(-19) assuming r is positive. r**(-399) Simplify (y**(-2/3))**(-30/11)*(y**19)**(-14/13) assuming y is positive. y**(-2666/143) Simplify (w/(w/w**1*w)*w*w*w**(-1/4)*(w/(w*w**(-7)))/(w/w**(-5)))**44 assuming w is positive. w**121 Simplify (r**0)**(2/37)*r/(r**(-5)*r)*r/r**(4/9) assuming r is positive. r**(50/9) Simplify ((x*x/(x/(x/((x/(x/((x/((x/(x*x/(x/(x/x**(-1/2)))*x)*x)/x))/x)))/x*x)))*x)/x)**36/(x**11*x*x*x**(1/5)*x*x) assuming x is positive. x**(-166/5) Simplify ((f*f**(5/3)/f*f*f)/f**(-3/4)*f**(-2)*f/(f/(f**(-5)/f*f*f)*f))**(-49) assuming f is positive. f**(1519/12) Simplify (((((p**(-17)/p)/p*p)/p)/p)/p**(-2/39))**13 assuming p is positive. p**(-778/3) Simplify (r**(-4)/r**(-6)*(r/r**(1/2))/(r*r/r**1))**(-2/53) assuming r is positive. r**(-3/53) Simplify (z/z**(3/2)*z**(-28))**(-1/2) assuming z is positive. z**(57/4) Simplify ((c*c*c**(-9/2))**14)**9 assuming c is positive. c**(-315) Simplify (u**(1/4)/(u/(u**6*u)))/((u**(-4)*u)/(
{ "pile_set_name": "DM Mathematics" }